%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS149+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 1.34s 1.74s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 8 unt; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 277 ( 120 ~; 110 |; 38 &)
% ( 9 <=>; 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 : 30 ( 2 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC28(iV3102)
& cC64(iV3102)
& cC14(iV3102)
& cowlThing(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_107,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC216(X1)
& cC46(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_107) ).
fof(axiom_108,axiom,
cTEST(iV3102),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_108) ).
fof(axiom_70,axiom,
! [X1] :
( cC30(X1)
<=> ( cC14(X1)
& cC28(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(axiom_78,axiom,
! [X1] :
( cC46(X1)
<=> ( cC30(X1)
& cC44(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
fof(axiom_65,axiom,
! [X1] :
( cC216(X1)
<=> ( ~ cC214(X1)
& cC64(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(c_0_8,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC216(iV3102)
& cC46(iV3102)
& cC30(iV3102)
& cC44(iV3102)
& cC28(iV3102)
& cC64(iV3102)
& cC14(iV3102)
& cowlThing(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(esk56_0)
| xsd_integer(esk56_0)
| ~ cowlThing(esk55_0)
| cowlNothing(esk55_0)
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(iV3102) )
& ( xsd_string(esk56_0)
| ~ xsd_integer(esk56_0)
| ~ cowlThing(esk55_0)
| cowlNothing(esk55_0)
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(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,
! [X172] :
( cowlThing(X172)
& ~ cowlNothing(X172) ),
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(esk56_0)
| cowlNothing(esk55_0)
| ~ xsd_string(esk56_0)
| ~ cowlThing(esk55_0)
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(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,
! [X173] :
( ( ~ xsd_string(X173)
| ~ xsd_integer(X173) )
& ( xsd_integer(X173)
| xsd_string(X173) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])]) ).
cnf(c_0_16,negated_conjecture,
( xsd_string(esk56_0)
| cowlNothing(esk55_0)
| ~ xsd_integer(esk56_0)
| ~ cowlThing(esk55_0)
| ~ cC216(iV3102)
| ~ cC46(iV3102)
| ~ cC30(iV3102)
| ~ cC44(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC14(iV3102)
| ~ cowlThing(iV3102) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,negated_conjecture,
( cowlNothing(esk55_0)
| xsd_integer(esk56_0)
| ~ xsd_string(esk56_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_18,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( cowlNothing(esk55_0)
| xsd_string(esk56_0)
| ~ xsd_integer(esk56_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_16,c_0_14]),c_0_14])]) ).
fof(c_0_21,plain,
! [X441] :
( ( cC216(X441)
| ~ cTEST(X441) )
& ( cC46(X441)
| ~ cTEST(X441) )
& ( ~ cC216(X441)
| ~ cC46(X441)
| cTEST(X441) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_107])])]) ).
cnf(c_0_22,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
( xsd_integer(esk56_0)
| ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC14(iV3102) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_24,negated_conjecture,
( xsd_string(esk56_0)
| ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC14(iV3102) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_20,c_0_18]),c_0_19]) ).
cnf(c_0_25,plain,
( cC216(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
cTEST(iV3102),
inference(split_conjunct,[status(thm)],[axiom_108]) ).
fof(c_0_27,plain,
! [X347] :
( ( cC14(X347)
| ~ cC30(X347) )
& ( cC28(X347)
| ~ cC30(X347) )
& ( ~ cC14(X347)
| ~ cC28(X347)
| cC30(X347) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_70])])]) ).
fof(c_0_28,plain,
! [X367] :
( ( cC30(X367)
| ~ cC46(X367) )
& ( cC44(X367)
| ~ cC46(X367) )
& ( ~ cC30(X367)
| ~ cC44(X367)
| cC46(X367) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_78])])]) ).
cnf(c_0_29,negated_conjecture,
( ~ cC46(iV3102)
| ~ cC44(iV3102)
| ~ cC30(iV3102)
| ~ cC28(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC14(iV3102) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_30,plain,
cC216(iV3102),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
( cC14(X1)
| ~ cC30(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_32,plain,
( cC28(X1)
| ~ cC30(X1) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_33,plain,
( cC30(X1)
| ~ cC46(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,plain,
( cC44(X1)
| ~ cC46(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_35,plain,
( cC46(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_36,plain,
! [X1] :
( cC216(X1)
<=> ( ~ cC214(X1)
& cC64(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_65]) ).
cnf(c_0_37,negated_conjecture,
( ~ cC46(iV3102)
| ~ cC64(iV3102) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]),c_0_31]),c_0_32]),c_0_33]),c_0_34]) ).
cnf(c_0_38,plain,
cC46(iV3102),
inference(spm,[status(thm)],[c_0_35,c_0_26]) ).
fof(c_0_39,plain,
! [X336] :
( ( ~ cC214(X336)
| ~ cC216(X336) )
& ( cC64(X336)
| ~ cC216(X336) )
& ( cC214(X336)
| ~ cC64(X336)
| cC216(X336) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])]) ).
cnf(c_0_40,negated_conjecture,
~ cC64(iV3102),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]) ).
cnf(c_0_41,plain,
( cC64(X1)
| ~ cC216(X1) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS149+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
% 0.15/0.33 % Computer : n015.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:39:02 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % 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 : 1.373s
%------------------------------------------------------------------------------