%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS158+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 : n011.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 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 55 ( 18 unt; 0 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 297 ( 129 ~; 117 |; 42 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 16 ( 15 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 30 ( 2 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
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_16,axiom,
! [X1] :
( cTEST(X1)
<=> ( cTOP(X1)
& cC18(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_8,axiom,
! [X1] :
( cC18(X1)
<=> ( cTOP(X1)
& cC16(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_18,axiom,
cTEST(iV16560),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).
fof(axiom_7,axiom,
! [X1] :
( cC16(X1)
<=> ( cC14(X1)
& cC8(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_5,axiom,
! [X1] :
( cC12(X1)
<=> ( cC10xcomp(X1)
& cC2xcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_28,axiom,
cC10xcomp(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).
fof(axiom_29,axiom,
cC2xcomp(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(axiom_14,axiom,
! [X1] :
( cC6(X1)
<=> ( cC4xcomp(X1)
& cC2xcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_24,axiom,
cC4xcomp(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).
fof(axiom_25,axiom,
cC2xcomp(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).
fof(c_0_13,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC6(iV16561)
& cowlThing(iV16561)
& cC12(iV16562)
& cowlThing(iV16562) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_14,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_15,plain,
! [X81] :
( ( cTOP(X81)
| ~ cTEST(X81) )
& ( cC18(X81)
| ~ cTEST(X81) )
& ( ~ cTOP(X81)
| ~ cC18(X81)
| cTEST(X81) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_16])])]) ).
fof(c_0_16,negated_conjecture,
( ( ~ xsd_string(esk12_0)
| xsd_integer(esk12_0)
| ~ cowlThing(esk11_0)
| cowlNothing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) )
& ( xsd_string(esk12_0)
| ~ xsd_integer(esk12_0)
| ~ cowlThing(esk11_0)
| cowlNothing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_17,plain,
! [X35] :
( cowlThing(X35)
& ~ cowlNothing(X35) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
fof(c_0_18,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_19,plain,
! [X55] :
( ( cTOP(X55)
| ~ cC18(X55) )
& ( cC16(X55)
| ~ cC18(X55) )
& ( ~ cTOP(X55)
| ~ cC16(X55)
| cC18(X55) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_8])])]) ).
cnf(c_0_20,plain,
( cC18(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
cTEST(iV16560),
inference(split_conjunct,[status(thm)],[axiom_18]) ).
cnf(c_0_22,negated_conjecture,
( xsd_string(esk12_0)
| cowlNothing(esk11_0)
| ~ xsd_integer(esk12_0)
| ~ cowlThing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_23,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_24,plain,
! [X36] :
( ( ~ xsd_string(X36)
| ~ xsd_integer(X36) )
& ( xsd_integer(X36)
| xsd_string(X36) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_25,plain,
! [X54] :
( ( cC14(X54)
| ~ cC16(X54) )
& ( cC8(X54)
| ~ cC16(X54) )
& ( ~ cC14(X54)
| ~ cC8(X54)
| cC16(X54) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])])]) ).
cnf(c_0_26,plain,
( cC16(X1)
| ~ cC18(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_27,plain,
cC18(iV16560),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_28,negated_conjecture,
( xsd_integer(esk12_0)
| cowlNothing(esk11_0)
| ~ xsd_string(esk12_0)
| ~ cowlThing(esk11_0)
| ~ cC18(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC6(iV16561)
| ~ cowlThing(iV16561)
| ~ cC12(iV16562)
| ~ cowlThing(iV16562) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( cowlNothing(esk11_0)
| xsd_string(esk12_0)
| ~ xsd_integer(esk12_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ cC6(iV16561) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_30,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_31,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,plain,
( cC14(X1)
| ~ cC16(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
cC16(iV16560),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_34,negated_conjecture,
( cowlNothing(esk11_0)
| xsd_integer(esk12_0)
| ~ xsd_string(esk12_0)
| ~ cC12(iV16562)
| ~ cC14(iV16560)
| ~ cC16(iV16560)
| ~ cC8(iV16560)
| ~ cC18(iV16560)
| ~ cC6(iV16561) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_23]),c_0_23]),c_0_23]),c_0_23])]) ).
cnf(c_0_35,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ xsd_integer(esk12_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_29,c_0_30]),c_0_31]) ).
cnf(c_0_36,plain,
cC14(iV16560),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC18(iV16560)
| ~ cC8(iV16560)
| ~ cC16(iV16560)
| ~ cC14(iV16560)
| ~ cC12(iV16562)
| ~ xsd_string(esk12_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_34,c_0_30]),c_0_31]) ).
cnf(c_0_38,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC12(iV16562)
| ~ xsd_integer(esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_27])]),c_0_33]),c_0_36])]) ).
cnf(c_0_39,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_40,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC12(iV16562)
| ~ xsd_string(esk12_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_27])]),c_0_33]),c_0_36])]) ).
fof(c_0_41,plain,
! [X49] :
( ( cC10xcomp(X49)
| ~ cC12(X49) )
& ( cC2xcomp(X49)
| ~ cC12(X49) )
& ( ~ cC10xcomp(X49)
| ~ cC2xcomp(X49)
| cC12(X49) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
cnf(c_0_42,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC12(iV16562) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_43,plain,
( cC8(X1)
| ~ cC16(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,plain,
( cC12(X1)
| ~ cC10xcomp(X1)
| ~ cC2xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_45,plain,
cC10xcomp(iV16562),
inference(split_conjunct,[status(thm)],[axiom_28]) ).
cnf(c_0_46,plain,
cC2xcomp(iV16562),
inference(split_conjunct,[status(thm)],[axiom_29]) ).
fof(c_0_47,plain,
! [X76] :
( ( cC4xcomp(X76)
| ~ cC6(X76) )
& ( cC2xcomp(X76)
| ~ cC6(X76) )
& ( ~ cC4xcomp(X76)
| ~ cC2xcomp(X76)
| cC6(X76) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_14])])]) ).
cnf(c_0_48,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_33])]) ).
cnf(c_0_49,plain,
cC12(iV16562),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_50,plain,
( cC6(X1)
| ~ cC4xcomp(X1)
| ~ cC2xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_51,plain,
cC4xcomp(iV16561),
inference(split_conjunct,[status(thm)],[axiom_24]) ).
cnf(c_0_52,plain,
cC2xcomp(iV16561),
inference(split_conjunct,[status(thm)],[axiom_25]) ).
cnf(c_0_53,negated_conjecture,
~ cC6(iV16561),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]) ).
cnf(c_0_54,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS158+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
% 0.16/0.33 % Computer : n011.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:41:17 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Theorem for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.371s
%------------------------------------------------------------------------------