TSTP Solution File: KRS145+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : KRS145+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n026.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 : 600s
% DateTime : Sun Jul 17 02:59:55 EDT 2022
% Result : Theorem 0.22s 1.40s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of formulae : 116 ( 12 unt; 0 def)
% Number of atoms : 607 ( 147 equ)
% Maximal formula atoms : 106 ( 5 avg)
% Number of connectives : 793 ( 302 ~; 442 |; 40 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 134 ( 4 sgn 28 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( cc(X4)
=> ( ? [X5,X6] :
( rp(X4,X5)
& rp(X4,X6)
& X5 != X6 )
& ! [X5,X6,X7] :
( ( rp(X4,X5)
& rp(X4,X6)
& rp(X4,X7) )
=> ( X5 = X6
| X5 = X7
| X6 = X7 ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_0) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_1) ).
fof(axiom_2,axiom,
! [X4] :
( cc(X4)
=> ( ! [X5,X6,X7] :
( ( rp(X4,X5)
& rp(X4,X6)
& rp(X4,X7) )
=> ( X5 = X6
| X5 = X7
| X6 = X7 ) )
& ? [X5,X6] :
( rp(X4,X5)
& rp(X4,X6)
& X5 != X6 ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_2) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( cc(X4)
=> ( ? [X5,X6] :
( rp(X4,X5)
& rp(X4,X6)
& X5 != X6 )
& ! [X5,X6,X7] :
( ( rp(X4,X5)
& rp(X4,X6)
& rp(X4,X7) )
=> ( X5 = X6
| X5 = X7
| X6 = X7 ) ) ) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_5,negated_conjecture,
! [X11,X12] :
( ( cc(esk4_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk7_0)
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( esk5_0 != esk6_0
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( esk5_0 != esk7_0
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( esk6_0 != esk7_0
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( cc(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk7_0)
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( esk5_0 != esk6_0
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( esk5_0 != esk7_0
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) )
& ( esk6_0 != esk7_0
| ~ rp(esk4_0,X11)
| ~ rp(esk4_0,X12)
| X11 = X12
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk2_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_4])])])])])])])]) ).
fof(c_0_6,plain,
! [X5,X5] :
( cowlThing(X5)
& ~ cowlNothing(X5) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_0])])])]) ).
cnf(c_0_7,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| X1 = X2
| rp(esk4_0,esk5_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X5,X5] :
( ( ~ xsd_string(X5)
| ~ xsd_integer(X5) )
& ( xsd_integer(X5)
| xsd_string(X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])])]) ).
cnf(c_0_10,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_11,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_13,plain,
! [X8,X9,X10,X11] :
( ( ~ rp(X8,X9)
| ~ rp(X8,X10)
| ~ rp(X8,X11)
| X9 = X10
| X9 = X11
| X10 = X11
| ~ cc(X8) )
& ( rp(X8,esk8_1(X8))
| ~ cc(X8) )
& ( rp(X8,esk9_1(X8))
| ~ cc(X8) )
& ( esk8_1(X8) != esk9_1(X8)
| ~ cc(X8) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])])])]) ).
cnf(c_0_14,negated_conjecture,
( X1 = X2
| xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
cnf(c_0_15,plain,
( rp(X1,esk9_1(X1))
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( X1 = esk9_1(esk4_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
( rp(X1,esk8_1(X1))
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,plain,
( ~ cc(X1)
| esk8_1(X1) != esk9_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| cc(esk4_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_20,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| X1 = X2
| rp(esk4_0,esk5_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_21,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
cnf(c_0_22,negated_conjecture,
( cc(esk4_0)
| cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ xsd_string(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_8])]) ).
cnf(c_0_23,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| X1 = X2
| rp(esk4_0,esk6_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_24,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rp(esk4_0,esk5_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_8])]) ).
cnf(c_0_25,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_26,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_11]),c_0_12]) ).
cnf(c_0_27,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk6_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_8])]) ).
cnf(c_0_28,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| X1 = X2
| rp(esk4_0,esk7_0)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_29,negated_conjecture,
( X1 = X2
| xsd_string(esk3_0)
| rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_24,c_0_11]),c_0_12]) ).
cnf(c_0_30,negated_conjecture,
( rp(esk4_0,esk5_0)
| ~ xsd_string(esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,negated_conjecture,
( X1 = X2
| xsd_integer(esk3_0)
| rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_27,c_0_11]),c_0_12]) ).
cnf(c_0_32,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| X1 = X2
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1)
| esk5_0 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_33,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk7_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_8])]) ).
cnf(c_0_34,negated_conjecture,
( X1 = esk9_1(esk4_0)
| rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_15]),c_0_30]) ).
cnf(c_0_35,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| cc(esk4_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_36,negated_conjecture,
( X1 = esk9_1(esk4_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_31,c_0_15]) ).
cnf(c_0_37,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| esk6_0 != esk5_0
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_8])]) ).
cnf(c_0_38,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| X1 = X2
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1)
| esk5_0 != esk7_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_39,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| X1 = X2
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1)
| esk6_0 != esk7_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_40,negated_conjecture,
( X1 = X2
| xsd_integer(esk3_0)
| rp(esk4_0,esk7_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_11]),c_0_12]) ).
cnf(c_0_41,negated_conjecture,
( rp(esk4_0,esk5_0)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_17]),c_0_18]) ).
cnf(c_0_42,negated_conjecture,
( cc(esk4_0)
| cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_8])]) ).
cnf(c_0_43,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| X1 = X2
| rp(esk4_0,esk6_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_44,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk6_0)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_17]),c_0_18]) ).
cnf(c_0_45,negated_conjecture,
( X1 = esk8_1(esk4_0)
| xsd_integer(esk3_0)
| esk6_0 != esk5_0
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_17]),c_0_11]),c_0_12]) ).
cnf(c_0_46,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| esk7_0 != esk5_0
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_8])]) ).
cnf(c_0_47,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| esk7_0 != esk6_0
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_8])]) ).
cnf(c_0_48,negated_conjecture,
( X1 = esk9_1(esk4_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk7_0)
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_15]) ).
cnf(c_0_49,negated_conjecture,
rp(esk4_0,esk5_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_11]),c_0_12]),c_0_30]) ).
cnf(c_0_50,negated_conjecture,
( X1 = esk8_1(esk4_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk7_0)
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_40,c_0_17]) ).
cnf(c_0_51,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rp(esk4_0,esk6_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_8])]) ).
cnf(c_0_52,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk6_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_22]),c_0_11]),c_0_12]) ).
cnf(c_0_53,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| X1 = X2
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1)
| esk5_0 != esk6_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_54,negated_conjecture,
( xsd_integer(esk3_0)
| esk6_0 != esk5_0
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_15]),c_0_18]) ).
cnf(c_0_55,negated_conjecture,
( X1 = X2
| xsd_integer(esk3_0)
| esk7_0 != esk5_0
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_46,c_0_11]),c_0_12]) ).
cnf(c_0_56,negated_conjecture,
( X1 = X2
| xsd_integer(esk3_0)
| esk7_0 != esk6_0
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_47,c_0_11]),c_0_12]) ).
cnf(c_0_57,negated_conjecture,
( esk9_1(esk4_0) = esk5_0
| xsd_integer(esk3_0)
| rp(esk4_0,esk7_0)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_58,negated_conjecture,
( esk8_1(esk4_0) = esk5_0
| xsd_integer(esk3_0)
| rp(esk4_0,esk7_0)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_49]) ).
cnf(c_0_59,negated_conjecture,
( X1 = X2
| xsd_string(esk3_0)
| rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_51,c_0_11]),c_0_12]) ).
cnf(c_0_60,negated_conjecture,
( rp(esk4_0,esk6_0)
| ~ xsd_string(esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_string(esk3_0)
| esk6_0 != esk5_0
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_8])]) ).
cnf(c_0_62,negated_conjecture,
( xsd_integer(esk3_0)
| esk6_0 != esk5_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_22]),c_0_11]),c_0_12]) ).
cnf(c_0_63,negated_conjecture,
( X1 = esk9_1(esk4_0)
| xsd_integer(esk3_0)
| esk7_0 != esk5_0
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_15]) ).
cnf(c_0_64,negated_conjecture,
( X1 = esk9_1(esk4_0)
| xsd_integer(esk3_0)
| esk7_0 != esk6_0
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_56,c_0_15]) ).
cnf(c_0_65,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| X1 = X2
| rp(esk4_0,esk7_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_66,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk7_0)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_57]),c_0_58]) ).
cnf(c_0_67,negated_conjecture,
( X1 = esk9_1(esk4_0)
| rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_15]),c_0_60]) ).
cnf(c_0_68,negated_conjecture,
( X1 = esk8_1(esk4_0)
| rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_17]),c_0_60]) ).
cnf(c_0_69,negated_conjecture,
( X1 = X2
| xsd_string(esk3_0)
| esk6_0 != esk5_0
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_61,c_0_11]),c_0_12]) ).
cnf(c_0_70,negated_conjecture,
( esk6_0 != esk5_0
| ~ xsd_string(esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_62]) ).
cnf(c_0_71,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| X1 = X2
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1)
| esk5_0 != esk7_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_72,negated_conjecture,
( xsd_integer(esk3_0)
| esk7_0 != esk5_0
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_17]),c_0_18]) ).
cnf(c_0_73,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| X1 = X2
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1)
| esk6_0 != esk7_0 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_74,negated_conjecture,
( xsd_integer(esk3_0)
| esk7_0 != esk6_0
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_17]),c_0_18]) ).
cnf(c_0_75,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rp(esk4_0,esk7_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_8])]) ).
cnf(c_0_76,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk7_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_22]),c_0_11]),c_0_12]) ).
cnf(c_0_77,negated_conjecture,
( esk9_1(esk4_0) = esk5_0
| rp(esk4_0,esk6_0)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_67,c_0_49]) ).
cnf(c_0_78,negated_conjecture,
( esk8_1(esk4_0) = esk5_0
| rp(esk4_0,esk6_0)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_68,c_0_49]) ).
cnf(c_0_79,negated_conjecture,
( X1 = esk9_1(esk4_0)
| esk6_0 != esk5_0
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_15]),c_0_70]) ).
cnf(c_0_80,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_string(esk3_0)
| esk7_0 != esk5_0
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_8])]) ).
cnf(c_0_81,negated_conjecture,
( xsd_integer(esk3_0)
| esk7_0 != esk5_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_22]),c_0_11]),c_0_12]) ).
cnf(c_0_82,negated_conjecture,
( X1 = X2
| cowlNothing(esk2_0)
| xsd_string(esk3_0)
| esk7_0 != esk6_0
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_8])]) ).
cnf(c_0_83,negated_conjecture,
( xsd_integer(esk3_0)
| esk7_0 != esk6_0 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_22]),c_0_11]),c_0_12]) ).
cnf(c_0_84,plain,
( X2 = X3
| X4 = X3
| X4 = X2
| ~ cc(X1)
| ~ rp(X1,X3)
| ~ rp(X1,X2)
| ~ rp(X1,X4) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_85,negated_conjecture,
( X1 = X2
| xsd_string(esk3_0)
| rp(esk4_0,esk7_0)
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_75,c_0_11]),c_0_12]) ).
cnf(c_0_86,negated_conjecture,
( rp(esk4_0,esk7_0)
| ~ xsd_string(esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_76]) ).
cnf(c_0_87,negated_conjecture,
( rp(esk4_0,esk6_0)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_77]),c_0_78]) ).
cnf(c_0_88,negated_conjecture,
( esk6_0 != esk5_0
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_17]),c_0_18]) ).
cnf(c_0_89,negated_conjecture,
( X1 = X2
| xsd_string(esk3_0)
| esk7_0 != esk5_0
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_80,c_0_11]),c_0_12]) ).
cnf(c_0_90,negated_conjecture,
( esk7_0 != esk5_0
| ~ xsd_string(esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_81]) ).
cnf(c_0_91,negated_conjecture,
( X1 = X2
| xsd_string(esk3_0)
| esk7_0 != esk6_0
| ~ rp(esk4_0,X2)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_82,c_0_11]),c_0_56]) ).
cnf(c_0_92,negated_conjecture,
( esk7_0 != esk6_0
| ~ xsd_string(esk3_0) ),
inference(spm,[status(thm)],[c_0_25,c_0_83]) ).
cnf(c_0_93,plain,
( X1 = esk8_1(X2)
| X3 = esk8_1(X2)
| X3 = X1
| ~ rp(X2,X1)
| ~ rp(X2,X3)
| ~ cc(X2) ),
inference(spm,[status(thm)],[c_0_84,c_0_17]) ).
cnf(c_0_94,negated_conjecture,
( X1 = esk5_0
| rp(esk4_0,esk7_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_49]),c_0_86]) ).
cnf(c_0_95,negated_conjecture,
rp(esk4_0,esk6_0),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_42]),c_0_11]),c_0_12]),c_0_60]) ).
cnf(c_0_96,negated_conjecture,
esk6_0 != esk5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_42]),c_0_11]),c_0_12]),c_0_70]) ).
cnf(c_0_97,negated_conjecture,
( X1 = esk9_1(esk4_0)
| esk7_0 != esk5_0
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_15]),c_0_90]) ).
cnf(c_0_98,negated_conjecture,
( X1 = esk9_1(esk4_0)
| esk7_0 != esk6_0
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_15]),c_0_92]) ).
cnf(c_0_99,plain,
( X1 = esk9_1(X2)
| X1 = esk8_1(X2)
| ~ rp(X2,X1)
| ~ cc(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_15]),c_0_18]) ).
cnf(c_0_100,negated_conjecture,
rp(esk4_0,esk7_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).
cnf(c_0_101,negated_conjecture,
( esk7_0 != esk5_0
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_17]),c_0_18]) ).
cnf(c_0_102,negated_conjecture,
( esk7_0 != esk6_0
| ~ cc(esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_17]),c_0_18]) ).
cnf(c_0_103,negated_conjecture,
( esk8_1(esk4_0) = esk7_0
| esk9_1(esk4_0) = esk7_0
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_104,negated_conjecture,
( esk8_1(esk4_0) = esk5_0
| esk9_1(esk4_0) = esk5_0
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_49]) ).
cnf(c_0_105,negated_conjecture,
esk7_0 != esk5_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_42]),c_0_11]),c_0_12]),c_0_90]) ).
cnf(c_0_106,negated_conjecture,
( esk8_1(esk4_0) = esk6_0
| esk9_1(esk4_0) = esk6_0
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_99,c_0_95]) ).
cnf(c_0_107,negated_conjecture,
esk7_0 != esk6_0,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_42]),c_0_11]),c_0_83]),c_0_92]) ).
cnf(c_0_108,negated_conjecture,
( esk8_1(esk4_0) = esk5_0
| esk8_1(esk4_0) = esk7_0
| ~ cc(esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( esk8_1(esk4_0) = esk5_0
| esk8_1(esk4_0) = esk6_0
| ~ cc(esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_104]),c_0_96]) ).
cnf(c_0_110,negated_conjecture,
( esk8_1(esk4_0) = esk6_0
| esk8_1(esk4_0) = esk7_0
| ~ cc(esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_106]),c_0_107]) ).
cnf(c_0_111,negated_conjecture,
( esk8_1(esk4_0) = esk5_0
| ~ cc(esk4_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_109]),c_0_96]),c_0_107]) ).
cnf(c_0_112,negated_conjecture,
~ cc(esk4_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_96]),c_0_105]) ).
cnf(c_0_113,negated_conjecture,
xsd_integer(esk3_0),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_22]),c_0_11]),c_0_12]) ).
cnf(c_0_114,negated_conjecture,
~ xsd_string(esk3_0),
inference(spm,[status(thm)],[c_0_25,c_0_113]) ).
cnf(c_0_115,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_113])]),c_0_11]),c_0_112]),c_0_114]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS145+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 13:58:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.22/1.40 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.40 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.40 # Preprocessing time : 0.017 s
% 0.22/1.40
% 0.22/1.40 # Proof found!
% 0.22/1.40 # SZS status Theorem
% 0.22/1.40 # SZS output start CNFRefutation
% See solution above
% 0.22/1.40 # Proof object total steps : 116
% 0.22/1.40 # Proof object clause steps : 107
% 0.22/1.40 # Proof object formula steps : 9
% 0.22/1.40 # Proof object conjectures : 100
% 0.22/1.40 # Proof object clause conjectures : 97
% 0.22/1.40 # Proof object formula conjectures : 3
% 0.22/1.40 # Proof object initial clauses used : 22
% 0.22/1.40 # Proof object initial formulas used : 4
% 0.22/1.40 # Proof object generating inferences : 59
% 0.22/1.40 # Proof object simplifying inferences : 113
% 0.22/1.40 # Training examples: 0 positive, 0 negative
% 0.22/1.40 # Parsed axioms : 11
% 0.22/1.40 # Removed by relevancy pruning/SinE : 0
% 0.22/1.40 # Initial clauses : 29
% 0.22/1.40 # Removed in clause preprocessing : 8
% 0.22/1.40 # Initial clauses in saturation : 21
% 0.22/1.40 # Processed clauses : 117
% 0.22/1.40 # ...of these trivial : 0
% 0.22/1.40 # ...subsumed : 16
% 0.22/1.40 # ...remaining for further processing : 100
% 0.22/1.40 # Other redundant clauses eliminated : 0
% 0.22/1.40 # Clauses deleted for lack of memory : 0
% 0.22/1.40 # Backward-subsumed : 44
% 0.22/1.40 # Backward-rewritten : 18
% 0.22/1.40 # Generated clauses : 169
% 0.22/1.40 # ...of the previous two non-trivial : 148
% 0.22/1.40 # Contextual simplify-reflections : 73
% 0.22/1.40 # Paramodulations : 165
% 0.22/1.40 # Factorizations : 4
% 0.22/1.40 # Equation resolutions : 0
% 0.22/1.40 # Current number of processed clauses : 38
% 0.22/1.40 # Positive orientable unit clauses : 4
% 0.22/1.40 # Positive unorientable unit clauses: 0
% 0.22/1.40 # Negative unit clauses : 6
% 0.22/1.40 # Non-unit-clauses : 28
% 0.22/1.40 # Current number of unprocessed clauses: 12
% 0.22/1.40 # ...number of literals in the above : 51
% 0.22/1.40 # Current number of archived formulas : 0
% 0.22/1.40 # Current number of archived clauses : 63
% 0.22/1.40 # Clause-clause subsumption calls (NU) : 1080
% 0.22/1.40 # Rec. Clause-clause subsumption calls : 398
% 0.22/1.40 # Non-unit clause-clause subsumptions : 115
% 0.22/1.40 # Unit Clause-clause subsumption calls : 79
% 0.22/1.40 # Rewrite failures with RHS unbound : 0
% 0.22/1.40 # BW rewrite match attempts : 4
% 0.22/1.40 # BW rewrite match successes : 4
% 0.22/1.40 # Condensation attempts : 0
% 0.22/1.40 # Condensation successes : 0
% 0.22/1.40 # Termbank termtop insertions : 4782
% 0.22/1.40
% 0.22/1.40 # -------------------------------------------------
% 0.22/1.40 # User time : 0.030 s
% 0.22/1.40 # System time : 0.002 s
% 0.22/1.40 # Total time : 0.032 s
% 0.22/1.40 # Maximum resident set size: 3040 pages
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