%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS145+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 04:36:43 PM UTC 2026
% Result : Theorem 1.30s 1.73s
% Output : CNFRefutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 4
% Syntax : Number of formulae : 102 ( 7 unt; 0 def)
% Number of atoms : 569 ( 151 equ)
% Maximal formula atoms : 106 ( 5 avg)
% Number of connectives : 710 ( 243 ~; 416 |; 41 &)
% ( 4 <=>; 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 : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 132 ( 2 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/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(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_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/sandbox2/benchmark/theBenchmark.p',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(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_5,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_6,negated_conjecture,
! [X67,X68] :
( ( cc(esk5_0)
| ~ xsd_string(esk4_0)
| xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( rp(esk5_0,esk6_0)
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| ~ xsd_string(esk4_0)
| xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( rp(esk5_0,esk7_0)
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| ~ xsd_string(esk4_0)
| xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( rp(esk5_0,esk8_0)
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| ~ xsd_string(esk4_0)
| xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( esk6_0 != esk7_0
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| ~ xsd_string(esk4_0)
| xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( esk6_0 != esk8_0
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| ~ xsd_string(esk4_0)
| xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( esk7_0 != esk8_0
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| ~ xsd_string(esk4_0)
| xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( cc(esk5_0)
| xsd_string(esk4_0)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( rp(esk5_0,esk6_0)
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| xsd_string(esk4_0)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( rp(esk5_0,esk7_0)
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| xsd_string(esk4_0)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( rp(esk5_0,esk8_0)
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| xsd_string(esk4_0)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( esk6_0 != esk7_0
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| xsd_string(esk4_0)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( esk6_0 != esk8_0
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| xsd_string(esk4_0)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) )
& ( esk7_0 != esk8_0
| ~ rp(esk5_0,X67)
| ~ rp(esk5_0,X68)
| X67 = X68
| xsd_string(esk4_0)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0)
| cowlNothing(esk3_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])]) ).
fof(c_0_7,plain,
! [X56] :
( cowlThing(X56)
& ~ cowlNothing(X56) ),
inference(variable_rename,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( cc(esk5_0)
| xsd_integer(esk4_0)
| cowlNothing(esk3_0)
| ~ xsd_string(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_11,negated_conjecture,
( cc(esk5_0)
| xsd_string(esk4_0)
| cowlNothing(esk3_0)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( cc(esk5_0)
| cowlNothing(esk3_0)
| xsd_integer(esk4_0)
| ~ xsd_string(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]) ).
cnf(c_0_13,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_14,plain,
! [X57] :
( ( ~ xsd_string(X57)
| ~ xsd_integer(X57) )
& ( xsd_integer(X57)
| xsd_string(X57) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_15,negated_conjecture,
( cc(esk5_0)
| cowlNothing(esk3_0)
| xsd_string(esk4_0)
| ~ xsd_integer(esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_9])]) ).
cnf(c_0_16,negated_conjecture,
( xsd_integer(esk4_0)
| cc(esk5_0)
| ~ xsd_string(esk4_0) ),
inference(sr,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,negated_conjecture,
( xsd_string(esk4_0)
| cc(esk5_0)
| ~ xsd_integer(esk4_0) ),
inference(sr,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_19,negated_conjecture,
( cc(esk5_0)
| ~ xsd_string(esk4_0) ),
inference(csr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,negated_conjecture,
( rp(esk5_0,esk8_0)
| X1 = X2
| xsd_string(esk4_0)
| cowlNothing(esk3_0)
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_21,plain,
! [X58,X59,X60,X61] :
( ( ~ rp(X58,X59)
| ~ rp(X58,X60)
| ~ rp(X58,X61)
| X59 = X60
| X59 = X61
| X60 = X61
| ~ cc(X58) )
& ( rp(X58,esk1_1(X58))
| ~ cc(X58) )
& ( rp(X58,esk2_1(X58))
| ~ cc(X58) )
& ( esk1_1(X58) != esk2_1(X58)
| ~ cc(X58) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])]) ).
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,
( cc(esk5_0)
| ~ xsd_integer(esk4_0) ),
inference(csr,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( rp(esk5_0,esk8_0)
| X1 = X2
| xsd_integer(esk4_0)
| cowlNothing(esk3_0)
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_string(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_25,negated_conjecture,
( rp(esk5_0,esk6_0)
| X1 = X2
| xsd_string(esk4_0)
| cowlNothing(esk3_0)
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
( rp(esk5_0,esk6_0)
| X1 = X2
| xsd_integer(esk4_0)
| cowlNothing(esk3_0)
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_string(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
( rp(esk5_0,esk7_0)
| X1 = X2
| xsd_string(esk4_0)
| cowlNothing(esk3_0)
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
( rp(esk5_0,esk7_0)
| X1 = X2
| xsd_integer(esk4_0)
| cowlNothing(esk3_0)
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_string(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_string(esk4_0)
| rp(esk5_0,esk8_0)
| ~ xsd_integer(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_9])]) ).
cnf(c_0_30,plain,
( rp(X1,esk1_1(X1))
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_31,negated_conjecture,
cc(esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_22]),c_0_23]) ).
cnf(c_0_32,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_integer(esk4_0)
| rp(esk5_0,esk8_0)
| ~ xsd_string(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_9])]) ).
cnf(c_0_33,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_string(esk4_0)
| rp(esk5_0,esk6_0)
| ~ xsd_integer(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_9])]) ).
cnf(c_0_34,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_integer(esk4_0)
| rp(esk5_0,esk6_0)
| ~ xsd_string(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_9])]) ).
cnf(c_0_35,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_string(esk4_0)
| rp(esk5_0,esk7_0)
| ~ xsd_integer(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_9])]) ).
cnf(c_0_36,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_integer(esk4_0)
| rp(esk5_0,esk7_0)
| ~ xsd_string(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_9])]) ).
cnf(c_0_37,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| rp(esk5_0,esk8_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_29,c_0_13]),c_0_22]) ).
cnf(c_0_38,negated_conjecture,
rp(esk5_0,esk1_1(esk5_0)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,plain,
( rp(X1,esk2_1(X1))
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_40,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| rp(esk5_0,esk8_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_32,c_0_13]),c_0_22]) ).
cnf(c_0_41,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| rp(esk5_0,esk6_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_13]),c_0_22]) ).
cnf(c_0_42,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| rp(esk5_0,esk6_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_34,c_0_13]),c_0_22]) ).
cnf(c_0_43,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| rp(esk5_0,esk7_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_35,c_0_13]),c_0_22]) ).
cnf(c_0_44,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| rp(esk5_0,esk7_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_36,c_0_13]),c_0_22]) ).
cnf(c_0_45,plain,
( X2 = X3
| X2 = X4
| X3 = X4
| ~ rp(X1,X2)
| ~ rp(X1,X3)
| ~ rp(X1,X4)
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_46,negated_conjecture,
( X1 = esk1_1(esk5_0)
| xsd_string(esk4_0)
| rp(esk5_0,esk8_0)
| ~ rp(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_47,negated_conjecture,
rp(esk5_0,esk2_1(esk5_0)),
inference(spm,[status(thm)],[c_0_39,c_0_31]) ).
cnf(c_0_48,negated_conjecture,
( X1 = esk1_1(esk5_0)
| xsd_integer(esk4_0)
| rp(esk5_0,esk8_0)
| ~ rp(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_40,c_0_38]) ).
cnf(c_0_49,negated_conjecture,
( X1 = esk1_1(esk5_0)
| xsd_string(esk4_0)
| rp(esk5_0,esk6_0)
| ~ rp(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_38]) ).
cnf(c_0_50,negated_conjecture,
( X1 = esk1_1(esk5_0)
| xsd_integer(esk4_0)
| rp(esk5_0,esk6_0)
| ~ rp(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_38]) ).
cnf(c_0_51,negated_conjecture,
( X1 = esk1_1(esk5_0)
| xsd_string(esk4_0)
| rp(esk5_0,esk7_0)
| ~ rp(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_38]) ).
cnf(c_0_52,negated_conjecture,
( X1 = esk1_1(esk5_0)
| xsd_integer(esk4_0)
| rp(esk5_0,esk7_0)
| ~ rp(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_44,c_0_38]) ).
cnf(c_0_53,negated_conjecture,
( X1 = esk1_1(esk5_0)
| X2 = esk1_1(esk5_0)
| X1 = X2
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_31])]) ).
cnf(c_0_54,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| xsd_string(esk4_0)
| rp(esk5_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_55,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| xsd_integer(esk4_0)
| rp(esk5_0,esk8_0) ),
inference(spm,[status(thm)],[c_0_48,c_0_47]) ).
cnf(c_0_56,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| xsd_string(esk4_0)
| rp(esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_49,c_0_47]) ).
cnf(c_0_57,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| xsd_integer(esk4_0)
| rp(esk5_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_47]) ).
cnf(c_0_58,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| xsd_string(esk4_0)
| rp(esk5_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_51,c_0_47]) ).
cnf(c_0_59,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| xsd_integer(esk4_0)
| rp(esk5_0,esk7_0) ),
inference(spm,[status(thm)],[c_0_52,c_0_47]) ).
cnf(c_0_60,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| X1 = esk2_1(esk5_0)
| X1 = esk1_1(esk5_0)
| ~ rp(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_47]) ).
cnf(c_0_61,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| rp(esk5_0,esk8_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_54]),c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| rp(esk5_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_56]),c_0_57]) ).
cnf(c_0_63,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| rp(esk5_0,esk7_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_58]),c_0_59]) ).
cnf(c_0_64,plain,
( esk1_1(X1) != esk2_1(X1)
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_65,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| esk1_1(esk5_0) = esk8_0
| esk2_1(esk5_0) = esk8_0 ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| esk1_1(esk5_0) = esk6_0
| esk2_1(esk5_0) = esk6_0 ),
inference(spm,[status(thm)],[c_0_60,c_0_62]) ).
cnf(c_0_67,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| esk1_1(esk5_0) = esk7_0
| esk2_1(esk5_0) = esk7_0 ),
inference(spm,[status(thm)],[c_0_60,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( esk2_1(esk5_0) = esk8_0
| esk1_1(esk5_0) = esk8_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_31])]) ).
cnf(c_0_69,negated_conjecture,
( esk2_1(esk5_0) = esk6_0
| esk1_1(esk5_0) = esk6_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_66]),c_0_31])]) ).
cnf(c_0_70,negated_conjecture,
( esk2_1(esk5_0) = esk7_0
| esk1_1(esk5_0) = esk7_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_67]),c_0_31])]) ).
cnf(c_0_71,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| cowlNothing(esk3_0)
| esk6_0 != esk8_0
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_string(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_72,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| cowlNothing(esk3_0)
| esk7_0 != esk8_0
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_73,negated_conjecture,
( esk1_1(esk5_0) = esk6_0
| esk1_1(esk5_0) = esk8_0
| esk8_0 = esk6_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_74,negated_conjecture,
( esk1_1(esk5_0) = esk6_0
| esk1_1(esk5_0) = esk7_0
| esk7_0 = esk6_0 ),
inference(spm,[status(thm)],[c_0_70,c_0_69]) ).
cnf(c_0_75,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| cowlNothing(esk3_0)
| esk6_0 != esk7_0
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_76,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| cowlNothing(esk3_0)
| esk6_0 != esk8_0
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_integer(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_77,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_integer(esk4_0)
| esk8_0 != esk6_0
| ~ xsd_string(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_9])]) ).
cnf(c_0_78,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| cowlNothing(esk3_0)
| esk7_0 != esk8_0
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_string(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_79,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| cowlNothing(esk3_0)
| esk6_0 != esk7_0
| ~ rp(esk5_0,X1)
| ~ rp(esk5_0,X2)
| ~ xsd_string(esk4_0)
| ~ cowlThing(esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_80,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_string(esk4_0)
| esk8_0 != esk7_0
| ~ xsd_integer(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_9])]) ).
cnf(c_0_81,negated_conjecture,
( esk1_1(esk5_0) = esk7_0
| esk1_1(esk5_0) = esk8_0
| esk8_0 = esk7_0 ),
inference(spm,[status(thm)],[c_0_68,c_0_70]) ).
cnf(c_0_82,negated_conjecture,
( esk1_1(esk5_0) = esk6_0
| esk8_0 = esk6_0
| esk8_0 = esk7_0
| esk7_0 = esk6_0 ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_83,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_string(esk4_0)
| esk7_0 != esk6_0
| ~ xsd_integer(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_9])]) ).
cnf(c_0_84,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_string(esk4_0)
| esk8_0 != esk6_0
| ~ xsd_integer(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_76,c_0_9])]) ).
cnf(c_0_85,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| esk8_0 != esk6_0
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_77,c_0_13]),c_0_22]) ).
cnf(c_0_86,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_integer(esk4_0)
| esk8_0 != esk7_0
| ~ xsd_string(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_9])]) ).
cnf(c_0_87,negated_conjecture,
( X1 = X2
| cowlNothing(esk3_0)
| xsd_integer(esk4_0)
| esk7_0 != esk6_0
| ~ xsd_string(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_9])]) ).
cnf(c_0_88,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| esk8_0 != esk7_0
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_80,c_0_13]),c_0_22]) ).
cnf(c_0_89,negated_conjecture,
( esk8_0 = esk7_0
| esk8_0 = esk6_0
| esk7_0 = esk6_0 ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_90,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| esk7_0 != esk6_0
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_83,c_0_13]),c_0_22]) ).
cnf(c_0_91,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| esk8_0 != esk6_0
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_84,c_0_13]),c_0_85]) ).
cnf(c_0_92,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| esk8_0 != esk7_0
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_86,c_0_13]),c_0_22]) ).
cnf(c_0_93,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| esk7_0 != esk6_0
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_87,c_0_13]),c_0_22]) ).
cnf(c_0_94,negated_conjecture,
( X1 = X2
| xsd_string(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90]),c_0_91]) ).
cnf(c_0_95,negated_conjecture,
( X1 = X2
| xsd_integer(esk4_0)
| ~ rp(esk5_0,X2)
| ~ rp(esk5_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_89]),c_0_93]),c_0_85]) ).
cnf(c_0_96,negated_conjecture,
( X1 = esk2_1(esk5_0)
| xsd_string(esk4_0)
| ~ rp(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_94,c_0_47]) ).
cnf(c_0_97,negated_conjecture,
( X1 = esk2_1(esk5_0)
| xsd_integer(esk4_0)
| ~ rp(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_47]) ).
cnf(c_0_98,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| xsd_string(esk4_0) ),
inference(spm,[status(thm)],[c_0_96,c_0_38]) ).
cnf(c_0_99,negated_conjecture,
( esk2_1(esk5_0) = esk1_1(esk5_0)
| xsd_integer(esk4_0) ),
inference(spm,[status(thm)],[c_0_97,c_0_38]) ).
cnf(c_0_100,negated_conjecture,
esk2_1(esk5_0) = esk1_1(esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_98]),c_0_99]) ).
cnf(c_0_101,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_100]),c_0_31])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS145+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33 % Computer : n015.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 20:38:32 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.30/1.73 % Version : CSE_E---1.7
% 1.30/1.73 % Problem : theBenchmark.p
% 1.30/1.73 % SZS status Theorem for theBenchmark.p
% 1.30/1.73 % SZS output start CNFRefutation
% See solution above
% 1.30/1.73 % Total time : 1.369s
%------------------------------------------------------------------------------