%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS157+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 : n007.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 04:36:45 PM UTC 2026
% Result : Theorem 1.34s 1.74s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 7 unt; 0 def)
% Number of atoms : 190 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 261 ( 112 ~; 104 |; 37 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 29 ( 2 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC14(iV3102)
& cC44(iV3102)
& cC216(iV3102)
& cC64(iV3102)
& cC46(iV3102)
& cC28(iV3102)
& cowlThing(iV3102)
& cC30(iV3102) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_132,axiom,
! [X1] :
( cC30(X1)
<=> ( cC28(X1)
& cC14(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(axiom_121,axiom,
! [X1] :
( cC216(X1)
<=> ( cC64(X1)
& cC214xcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_121) ).
fof(axiom_148,axiom,
! [X1] :
( cC46(X1)
<=> ( cC30(X1)
& cC44(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_148) ).
fof(axiom_201,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC216(X1)
& cC46(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_201) ).
fof(axiom_202,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_202) ).
fof(c_0_8,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC14(iV3102)
& cC44(iV3102)
& cC216(iV3102)
& cC64(iV3102)
& cC46(iV3102)
& cC28(iV3102)
& cowlThing(iV3102)
& cC30(iV3102) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_9,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_10,negated_conjecture,
( ( ~ xsd_string(esk150_0)
| xsd_integer(esk150_0)
| ~ cowlThing(esk149_0)
| cowlNothing(esk149_0)
| ~ cC14(iV3102)
| ~ cC44(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC46(iV3102)
| ~ cC28(iV3102)
| ~ cowlThing(iV3102)
| ~ cC30(iV3102) )
& ( xsd_string(esk150_0)
| ~ xsd_integer(esk150_0)
| ~ cowlThing(esk149_0)
| cowlNothing(esk149_0)
| ~ cC14(iV3102)
| ~ cC44(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC46(iV3102)
| ~ cC28(iV3102)
| ~ cowlThing(iV3102)
| ~ cC30(iV3102) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).
fof(c_0_11,plain,
! [X361] :
( cowlThing(X361)
& ~ cowlNothing(X361) ),
inference(variable_rename,[status(thm)],[c_0_9]) ).
fof(c_0_12,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_13,negated_conjecture,
( xsd_integer(esk150_0)
| cowlNothing(esk149_0)
| ~ xsd_string(esk150_0)
| ~ cowlThing(esk149_0)
| ~ cC14(iV3102)
| ~ cC44(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC46(iV3102)
| ~ cC28(iV3102)
| ~ cowlThing(iV3102)
| ~ cC30(iV3102) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X362] :
( ( ~ xsd_string(X362)
| ~ xsd_integer(X362) )
& ( xsd_integer(X362)
| xsd_string(X362) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
fof(c_0_16,plain,
! [X784] :
( ( cC28(X784)
| ~ cC30(X784) )
& ( cC14(X784)
| ~ cC30(X784) )
& ( ~ cC28(X784)
| ~ cC14(X784)
| cC30(X784) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_132])])]) ).
fof(c_0_17,plain,
! [X749] :
( ( cC64(X749)
| ~ cC216(X749) )
& ( cC214xcomp(X749)
| ~ cC216(X749) )
& ( ~ cC64(X749)
| ~ cC214xcomp(X749)
| cC216(X749) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_121])])]) ).
cnf(c_0_18,negated_conjecture,
( xsd_string(esk150_0)
| cowlNothing(esk149_0)
| ~ xsd_integer(esk150_0)
| ~ cowlThing(esk149_0)
| ~ cC14(iV3102)
| ~ cC44(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC46(iV3102)
| ~ cC28(iV3102)
| ~ cowlThing(iV3102)
| ~ cC30(iV3102) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,negated_conjecture,
( cowlNothing(esk149_0)
| xsd_integer(esk150_0)
| ~ xsd_string(esk150_0)
| ~ cC14(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC46(iV3102) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14])]) ).
cnf(c_0_20,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_22,plain,
( cC14(X1)
| ~ cC30(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
( cC64(X1)
| ~ cC216(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,negated_conjecture,
( cowlNothing(esk149_0)
| xsd_string(esk150_0)
| ~ xsd_integer(esk150_0)
| ~ cC14(iV3102)
| ~ cC216(iV3102)
| ~ cC64(iV3102)
| ~ cC28(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC46(iV3102) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_14]),c_0_14])]) ).
cnf(c_0_25,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,negated_conjecture,
( xsd_integer(esk150_0)
| ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC216(iV3102) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),c_0_23]) ).
cnf(c_0_27,negated_conjecture,
( xsd_string(esk150_0)
| ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC216(iV3102) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_24,c_0_20]),c_0_21]),c_0_22]),c_0_23]) ).
fof(c_0_28,plain,
! [X836] :
( ( cC30(X836)
| ~ cC46(X836) )
& ( cC44(X836)
| ~ cC46(X836) )
& ( ~ cC30(X836)
| ~ cC44(X836)
| cC46(X836) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_148])])]) ).
fof(c_0_29,plain,
! [X1006] :
( ( cC216(X1006)
| ~ cTEST(X1006) )
& ( cC46(X1006)
| ~ cTEST(X1006) )
& ( ~ cC216(X1006)
| ~ cC46(X1006)
| cTEST(X1006) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_201])])]) ).
cnf(c_0_30,negated_conjecture,
( ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC216(iV3102) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_31,plain,
( cC44(X1)
| ~ cC46(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
( cC28(X1)
| ~ cC30(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_33,plain,
( cC30(X1)
| ~ cC46(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( cC216(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_35,plain,
cTEST(iV3102),
inference(split_conjunct,[status(thm)],[axiom_202]) ).
cnf(c_0_36,negated_conjecture,
( ~ cC46(iV3102)
| ~ cC216(iV3102) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33]) ).
cnf(c_0_37,plain,
cC216(iV3102),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,plain,
( cC46(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_39,negated_conjecture,
~ cC46(iV3102),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_37])]) ).
cnf(c_0_40,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_35]),c_0_39]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS157+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
% 0.14/0.33 % Computer : n007.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 20:37:53 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.34/1.74 % Version : CSE_E---1.7
% 1.34/1.74 % Problem : theBenchmark.p
% 1.34/1.74 % SZS status Theorem for theBenchmark.p
% 1.34/1.74 % SZS output start CNFRefutation
% See solution above
% 1.34/1.74 % Total time : 1.372s
%------------------------------------------------------------------------------