%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS145+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:01:01 PM UTC 2026
% Result : Theorem 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 99 ( 11 unt; 0 def)
% Number of atoms : 527 ( 140 equ)
% Maximal formula atoms : 106 ( 5 avg)
% Number of connectives : 655 ( 227 ~; 359 |; 54 &)
% ( 5 <=>; 10 =>; 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 : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 127 ( 2 sgn 38 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X4] :
( cc(X4)
=> ( ! [X5,X6,X7] :
( ( rp(X4,X7)
& rp(X4,X6)
& rp(X4,X5) )
=> ( X6 = X7
| X5 = X7
| X5 = X6 ) )
& ? [X5,X6] :
( X5 != X6
& rp(X4,X6)
& rp(X4,X5) ) ) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( ~ cowlNothing(X4)
& cowlThing(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_2,axiom,
! [X4] :
( cc(X4)
=> ( ? [X5,X6] :
( X5 != X6
& rp(X4,X6)
& rp(X4,X5) )
& ! [X5,X6,X7] :
( ( rp(X4,X7)
& rp(X4,X6)
& rp(X4,X5) )
=> ( X6 = X7
| X5 = X7
| X5 = X6 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(c_0_4,negated_conjecture,
~ ( ! [X4] :
( cc(X4)
=> ( ! [X5,X6,X7] :
( ( rp(X4,X7)
& rp(X4,X6)
& rp(X4,X5) )
=> ( X6 = X7
| X5 = X7
| X5 = X6 ) )
& ? [X5,X6] :
( X5 != X6
& rp(X4,X6)
& rp(X4,X5) ) ) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_5,negated_conjecture,
~ ( ! [X4] :
( cc(X4)
=> ( ! [X5,X6,X7] :
( ( rp(X4,X7)
& rp(X4,X6)
& rp(X4,X5) )
=> ( X6 = X7
| X5 = X7
| X5 = X6 ) )
& ? [X5,X6] :
( X5 != X6
& rp(X4,X6)
& rp(X4,X5) ) ) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_6,plain,
! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_7,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_8,negated_conjecture,
! [X11,X12] :
( ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| esk5_0 != esk6_0 )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| esk4_0 != esk6_0 )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| esk4_0 != esk5_0 )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| rp(esk3_0,esk6_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| rp(esk3_0,esk5_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| rp(esk3_0,esk4_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0)
| cc(esk3_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| esk5_0 != esk6_0 )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| esk4_0 != esk6_0 )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| esk4_0 != esk5_0 )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| rp(esk3_0,esk6_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| rp(esk3_0,esk5_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| X11 = X12
| ~ rp(esk3_0,X12)
| ~ rp(esk3_0,X11)
| rp(esk3_0,esk4_0) )
& ( cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| cc(esk3_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])]) ).
fof(c_0_9,plain,
! [X37] :
( ~ cowlNothing(X37)
& cowlThing(X37) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_6])]) ).
fof(c_0_10,plain,
! [X32] :
( ( xsd_string(X32)
| xsd_integer(X32) )
& ( ~ xsd_integer(X32)
| ~ xsd_string(X32) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_11,plain,
! [X4] :
( cc(X4)
=> ( ? [X5,X6] :
( X5 != X6
& rp(X4,X6)
& rp(X4,X5) )
& ! [X5,X6,X7] :
( ( rp(X4,X7)
& rp(X4,X6)
& rp(X4,X5) )
=> ( X6 = X7
| X5 = X7
| X5 = X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[axiom_2]) ).
cnf(c_0_12,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| X1 = X2
| rp(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_16,plain,
! [X22,X23,X24,X25] :
( ( ~ cc(X22)
| esk7_1(X22) != esk8_1(X22) )
& ( ~ cc(X22)
| rp(X22,esk8_1(X22)) )
& ( ~ cc(X22)
| rp(X22,esk7_1(X22)) )
& ( ~ cc(X22)
| X24 = X25
| X23 = X25
| X23 = X24
| ~ rp(X22,X25)
| ~ rp(X22,X24)
| ~ rp(X22,X23) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])])]) ).
cnf(c_0_17,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| cc(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_18,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| X1 = X2
| rp(esk3_0,esk4_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_19,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| cc(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_20,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| esk4_0 != esk5_0
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_21,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_22,plain,
( ~ cc(X1)
| rp(X1,esk8_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,negated_conjecture,
( cc(esk3_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_24,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| rp(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_25,negated_conjecture,
( cc(esk3_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| esk5_0 != esk4_0
| xsd_integer(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_27,negated_conjecture,
( ~ rp(esk3_0,X1)
| rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
( ~ cc(X1)
| rp(X1,esk7_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( ~ rp(esk3_0,X1)
| rp(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_22]),c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( ~ rp(esk3_0,X1)
| esk5_0 != esk4_0
| xsd_integer(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_22]),c_0_25]) ).
cnf(c_0_31,plain,
( ~ cc(X1)
| esk7_1(X1) != esk8_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_32,negated_conjecture,
( rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_23]) ).
cnf(c_0_33,negated_conjecture,
( rp(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_28]),c_0_25]) ).
cnf(c_0_34,negated_conjecture,
( esk5_0 != esk4_0
| xsd_integer(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_25]) ).
cnf(c_0_35,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| X1 = X2
| rp(esk3_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_36,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,negated_conjecture,
( rp(esk3_0,esk4_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_23]) ).
cnf(c_0_38,negated_conjecture,
( rp(esk3_0,esk4_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_33]),c_0_25]) ).
cnf(c_0_39,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| X1 = X2
| rp(esk3_0,esk5_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_40,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| esk4_0 != esk5_0
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_41,negated_conjecture,
( esk5_0 != esk4_0
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_34]),c_0_25]) ).
cnf(c_0_42,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| esk5_0 != esk6_0
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_43,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| rp(esk3_0,esk5_0)
| xsd_string(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_44,negated_conjecture,
rp(esk3_0,esk4_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| rp(esk3_0,esk5_0)
| xsd_integer(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_46,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| esk5_0 != esk4_0
| xsd_string(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_13])]),c_0_14]),c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| esk6_0 != esk5_0
| xsd_integer(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_48,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| esk4_0 != esk6_0
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_49,negated_conjecture,
( ~ rp(esk3_0,X1)
| rp(esk3_0,esk5_0)
| xsd_string(esk2_0)
| X1 = esk4_0 ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( ~ rp(esk3_0,X1)
| rp(esk3_0,esk5_0)
| xsd_integer(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_22]),c_0_25]) ).
cnf(c_0_51,negated_conjecture,
( ~ rp(esk3_0,X1)
| esk5_0 != esk4_0
| xsd_string(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_22]),c_0_23]) ).
cnf(c_0_52,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| X1 = X2
| rp(esk3_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_53,negated_conjecture,
( ~ rp(esk3_0,X1)
| esk6_0 != esk5_0
| xsd_integer(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_22]),c_0_25]) ).
cnf(c_0_54,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| esk6_0 != esk4_0
| xsd_integer(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_55,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| X1 = X2
| rp(esk3_0,esk6_0) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_56,negated_conjecture,
( rp(esk3_0,esk5_0)
| xsd_string(esk2_0)
| esk8_1(esk3_0) = esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_22]),c_0_23]) ).
cnf(c_0_57,negated_conjecture,
( rp(esk3_0,esk5_0)
| xsd_string(esk2_0)
| esk7_1(esk3_0) = esk4_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_28]),c_0_23]) ).
cnf(c_0_58,negated_conjecture,
( rp(esk3_0,esk5_0)
| xsd_integer(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_28]),c_0_25]) ).
cnf(c_0_59,negated_conjecture,
( esk5_0 != esk4_0
| xsd_string(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_28]),c_0_23]) ).
cnf(c_0_60,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| rp(esk3_0,esk6_0)
| xsd_integer(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_61,negated_conjecture,
( esk6_0 != esk5_0
| xsd_integer(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_28]),c_0_25]) ).
cnf(c_0_62,negated_conjecture,
( ~ rp(esk3_0,X1)
| esk6_0 != esk4_0
| xsd_integer(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_22]),c_0_25]) ).
cnf(c_0_63,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| rp(esk3_0,esk6_0)
| xsd_string(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_13])]),c_0_14]),c_0_15]) ).
cnf(c_0_64,negated_conjecture,
( rp(esk3_0,esk5_0)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_56]),c_0_23]),c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( rp(esk3_0,esk5_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_58]),c_0_25]) ).
cnf(c_0_66,negated_conjecture,
( esk5_0 != esk4_0
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_59]),c_0_23]) ).
cnf(c_0_67,negated_conjecture,
( ~ rp(esk3_0,X1)
| rp(esk3_0,esk6_0)
| xsd_integer(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_22]),c_0_25]) ).
cnf(c_0_68,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| esk5_0 != esk6_0
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_69,negated_conjecture,
( esk6_0 != esk5_0
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_61]),c_0_25]) ).
cnf(c_0_70,negated_conjecture,
( esk6_0 != esk4_0
| xsd_integer(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_28]),c_0_25]) ).
cnf(c_0_71,negated_conjecture,
( ~ rp(esk3_0,X1)
| rp(esk3_0,esk6_0)
| xsd_string(esk2_0)
| X1 = esk4_0 ),
inference(spm,[status(thm)],[c_0_63,c_0_44]) ).
cnf(c_0_72,negated_conjecture,
rp(esk3_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_64]),c_0_65]) ).
cnf(c_0_73,negated_conjecture,
esk5_0 != esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_66]),c_0_41]) ).
cnf(c_0_74,negated_conjecture,
( rp(esk3_0,esk6_0)
| xsd_integer(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_28]),c_0_25]) ).
cnf(c_0_75,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| esk6_0 != esk5_0
| xsd_string(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_13])]),c_0_14]),c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| esk4_0 != esk6_0
| cowlNothing(esk1_0)
| xsd_string(esk2_0)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_77,negated_conjecture,
( esk6_0 != esk4_0
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_70]),c_0_25]) ).
cnf(c_0_78,negated_conjecture,
( rp(esk3_0,esk6_0)
| xsd_string(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).
cnf(c_0_79,negated_conjecture,
( rp(esk3_0,esk6_0)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_74]),c_0_25]) ).
cnf(c_0_80,negated_conjecture,
( ~ rp(esk3_0,X1)
| esk6_0 != esk5_0
| xsd_string(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_22]),c_0_23]) ).
cnf(c_0_81,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| esk6_0 != esk4_0
| xsd_string(esk2_0)
| X1 = X2 ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_13])]),c_0_14]),c_0_77]) ).
cnf(c_0_82,plain,
( ~ cc(X1)
| ~ rp(X1,X4)
| ~ rp(X1,X3)
| ~ rp(X1,X2)
| X3 = X4
| X2 = X4
| X2 = X3 ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_83,negated_conjecture,
rp(esk3_0,esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_78]),c_0_79]) ).
cnf(c_0_84,negated_conjecture,
( esk6_0 != esk5_0
| xsd_string(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_28]),c_0_23]) ).
cnf(c_0_85,negated_conjecture,
( ~ rp(esk3_0,X1)
| esk6_0 != esk4_0
| xsd_string(esk2_0)
| X1 = esk8_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_22]),c_0_23]) ).
cnf(c_0_86,negated_conjecture,
( ~ cc(esk3_0)
| ~ rp(esk3_0,X2)
| ~ rp(esk3_0,X1)
| X2 = X1
| X2 = esk6_0
| X1 = esk6_0 ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_87,negated_conjecture,
( esk6_0 != esk5_0
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_84]),c_0_23]) ).
cnf(c_0_88,negated_conjecture,
( esk6_0 != esk4_0
| xsd_string(esk2_0)
| esk8_1(esk3_0) = esk7_1(esk3_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_28]),c_0_23]) ).
cnf(c_0_89,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| xsd_string(esk2_0)
| X1 = X2
| X2 = esk6_0
| X1 = esk6_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_23]) ).
cnf(c_0_90,negated_conjecture,
esk6_0 != esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_87]),c_0_69]) ).
cnf(c_0_91,negated_conjecture,
( esk6_0 != esk4_0
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_88]),c_0_23]) ).
cnf(c_0_92,negated_conjecture,
( ~ rp(esk3_0,X1)
| ~ rp(esk3_0,X2)
| xsd_integer(esk2_0)
| X1 = X2
| X2 = esk6_0
| X1 = esk6_0 ),
inference(spm,[status(thm)],[c_0_86,c_0_25]) ).
cnf(c_0_93,negated_conjecture,
( ~ rp(esk3_0,X1)
| xsd_string(esk2_0)
| X1 = esk6_0
| X1 = esk5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_72]),c_0_90]) ).
cnf(c_0_94,negated_conjecture,
esk6_0 != esk4_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_91]),c_0_77]) ).
cnf(c_0_95,negated_conjecture,
( ~ rp(esk3_0,X1)
| xsd_integer(esk2_0)
| X1 = esk6_0
| X1 = esk5_0 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_72]),c_0_90]) ).
cnf(c_0_96,negated_conjecture,
xsd_string(esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_44]),c_0_73]),c_0_94]) ).
cnf(c_0_97,negated_conjecture,
xsd_integer(esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_44]),c_0_73]),c_0_94]) ).
cnf(c_0_98,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_96]),c_0_97])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS145+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n008.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 22:55:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.10/0.45 % Version: 3.5.1
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % Starting new_bool_1 with 300s (1) cores
% 0.10/0.45 % Starting sh5l with 300s (1) cores
% 0.10/0.45 % new_bool_3 with pid 3778625 completed with status 0
% 0.10/0.45 % Result found by new_bool_3
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.45 % Search class: FGHSF-FFMF11-SFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % SubtermCWHack with pid 3778638 completed with status 0
% 0.10/0.45 % Result found by SubtermCWHack
% 0.10/0.45 % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.10/0.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.45 % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.10/0.45 % Starting new_bool_3 with 300s (1) cores
% 0.10/0.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.10/0.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.10/0.45 % Search class: FGHSF-FFMF11-SFFFFFNN
% 0.10/0.45 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.45 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.45 % Preprocessing time : 0.001 s
% 0.10/0.45
% 0.10/0.45 % Proof found!
% 0.10/0.45 % SZS status Theorem
% 0.10/0.45 % SZS output start CNFRefutation
% See solution above
% 0.10/0.45 % Parsed axioms : 11
% 0.10/0.45 % Removed by relevancy pruning/SinE : 0
% 0.10/0.45 % Initial clauses : 29
% 0.10/0.45 % Removed in clause preprocessing : 7
% 0.10/0.45 % Initial clauses in saturation : 22
% 0.10/0.45 % Processed clauses : 75
% 0.10/0.45 % ...of these trivial : 0
% 0.10/0.45 % ...subsumed : 0
% 0.10/0.45 % ...remaining for further processing : 75
% 0.10/0.45 % Other redundant clauses eliminated : 0
% 0.10/0.45 % Clauses deleted for lack of memory : 0
% 0.10/0.45 % Backward-subsumed : 44
% 0.10/0.45 % Backward-rewritten : 12
% 0.10/0.45 % Generated clauses : 101
% 0.10/0.45 % ...of the previous two non-redundant : 95
% 0.10/0.45 % ...aggressively subsumed : 0
% 0.10/0.45 % Contextual simplify-reflections : 56
% 0.10/0.45 % Paramodulations : 101
% 0.10/0.45 % Factorizations : 0
% 0.10/0.45 % NegExts : 0
% 0.10/0.45 % Equation resolutions : 0
% 0.10/0.45 % Disequality decompositions : 0
% 0.10/0.45 % Total rewrite steps : 31
% 0.10/0.45 % ...of those cached : 25
% 0.10/0.45 % Propositional unsat checks : 0
% 0.10/0.45 % Propositional check models : 0
% 0.10/0.45 % Propositional check unsatisfiable : 0
% 0.10/0.45 % Propositional clauses : 0
% 0.10/0.45 % Propositional clauses after purity: 0
% 0.10/0.45 % Propositional unsat core size : 0
% 0.10/0.45 % Propositional preprocessing time : 0.000
% 0.10/0.45 % Propositional encoding time : 0.000
% 0.10/0.45 % Propositional solver time : 0.000
% 0.10/0.45 % Success case prop preproc time : 0.000
% 0.10/0.45 % Success case prop encoding time : 0.000
% 0.10/0.45 % Success case prop solver time : 0.000
% 0.10/0.45 % Current number of processed clauses : 19
% 0.10/0.45 % Positive orientable unit clauses : 6
% 0.10/0.45 % Positive unorientable unit clauses: 0
% 0.10/0.45 % Negative unit clauses : 4
% 0.10/0.45 % Non-unit-clauses : 9
% 0.10/0.45 % Current number of unprocessed clauses: 13
% 0.10/0.45 % ...number of literals in the above : 72
% 0.10/0.45 % Current number of archived formulas : 0
% 0.10/0.45 % Current number of archived clauses : 56
% 0.10/0.45 % Clause-clause subsumption calls (NU) : 726
% 0.10/0.45 % Rec. Clause-clause subsumption calls : 243
% 0.10/0.45 % Non-unit clause-clause subsumptions : 94
% 0.10/0.45 % Unit Clause-clause subsumption calls : 35
% 0.10/0.45 % Rewrite failures with RHS unbound : 0
% 0.10/0.45 % BW rewrite match attempts : 5
% 0.10/0.45 % BW rewrite match successes : 5
% 0.10/0.45 % Condensation attempts : 0
% 0.10/0.45 % Condensation successes : 0
% 0.10/0.45 % Termbank termtop insertions : 3934
% 0.10/0.45 % Search garbage collected termcells : 474
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.007 s
% 0.10/0.45 % System time : 0.003 s
% 0.10/0.45 % Total time : 0.010 s
% 0.10/0.45 % Maximum resident set size: 3640 pages
% 0.10/0.45
% 0.10/0.45 % -------------------------------------------------
% 0.10/0.45 % User time : 0.011 s
% 0.10/0.45 % System time : 0.006 s
% 0.10/0.45 % Total time : 0.017 s
% 0.10/0.45 % Maximum resident set size: 4608 pages
% 0.10/0.45 % E exiting
%------------------------------------------------------------------------------