%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS150+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 : n023.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 04:36:44 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 61 ( 22 unt; 0 def)
% Number of atoms : 233 ( 0 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 317 ( 145 ~; 117 |; 44 &)
% ( 11 <=>; 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 : 32 ( 2 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16562)
& cC12(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_10,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC18(X1)
& cTOP(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_6,axiom,
! [X1] :
( cC18(X1)
<=> ( cTOP(X1)
& cC16(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_12,axiom,
cTEST(iV16560),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(axiom_5,axiom,
! [X1] :
( cC16(X1)
<=> ( cC14(X1)
& cC8(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_3,axiom,
! [X1] :
( cC12(X1)
<=> ( ~ cC2(X1)
& ~ cC10(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_20,axiom,
~ cC10(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(axiom_21,axiom,
~ cC2(iV16562),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(axiom_8,axiom,
! [X1] :
( cC6(X1)
<=> ( ~ cC2(X1)
& ~ cC4(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(axiom_16,axiom,
~ cC4(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).
fof(axiom_19,axiom,
~ cC2(iV16561),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(c_0_13,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC18(iV16560)
& cC16(iV16560)
& cowlThing(iV16560)
& cC14(iV16560)
& cC8(iV16560)
& cowlThing(iV16561)
& cC6(iV16561)
& cowlThing(iV16562)
& cC12(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,
! [X44] :
( ( cC18(X44)
| ~ cTEST(X44) )
& ( cTOP(X44)
| ~ cTEST(X44) )
& ( ~ cC18(X44)
| ~ cTOP(X44)
| cTEST(X44) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])]) ).
fof(c_0_16,negated_conjecture,
( ( ~ xsd_string(esk6_0)
| xsd_integer(esk6_0)
| ~ cowlThing(esk5_0)
| cowlNothing(esk5_0)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) )
& ( xsd_string(esk6_0)
| ~ xsd_integer(esk6_0)
| ~ cowlThing(esk5_0)
| cowlNothing(esk5_0)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(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,
! [X22] :
( cowlThing(X22)
& ~ cowlNothing(X22) ),
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,
! [X34] :
( ( cTOP(X34)
| ~ cC18(X34) )
& ( cC16(X34)
| ~ cC18(X34) )
& ( ~ cTOP(X34)
| ~ cC16(X34)
| cC18(X34) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])])]) ).
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_12]) ).
cnf(c_0_22,negated_conjecture,
( xsd_string(esk6_0)
| cowlNothing(esk5_0)
| ~ xsd_integer(esk6_0)
| ~ cowlThing(esk5_0)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(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,
! [X23] :
( ( ~ xsd_string(X23)
| ~ xsd_integer(X23) )
& ( xsd_integer(X23)
| xsd_string(X23) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])]) ).
fof(c_0_25,plain,
! [X33] :
( ( cC14(X33)
| ~ cC16(X33) )
& ( cC8(X33)
| ~ cC16(X33) )
& ( ~ cC14(X33)
| ~ cC8(X33)
| cC16(X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])]) ).
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(esk6_0)
| cowlNothing(esk5_0)
| ~ xsd_string(esk6_0)
| ~ cowlThing(esk5_0)
| ~ cC18(iV16560)
| ~ cC16(iV16560)
| ~ cowlThing(iV16560)
| ~ cC14(iV16560)
| ~ cC8(iV16560)
| ~ cowlThing(iV16561)
| ~ cC6(iV16561)
| ~ cowlThing(iV16562)
| ~ cC12(iV16562) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,negated_conjecture,
( cowlNothing(esk5_0)
| xsd_string(esk6_0)
| ~ xsd_integer(esk6_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(esk5_0)
| xsd_integer(esk6_0)
| ~ xsd_string(esk6_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(esk6_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(esk6_0) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_34,c_0_30]),c_0_31]) ).
fof(c_0_38,plain,
! [X1] :
( cC12(X1)
<=> ( ~ cC2(X1)
& ~ cC10(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_3]) ).
cnf(c_0_39,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC12(iV16562)
| ~ xsd_integer(esk6_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_40,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_41,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC12(iV16562)
| ~ xsd_string(esk6_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_42,plain,
~ cC10(iV16562),
inference(fof_simplification,[status(thm)],[axiom_20]) ).
fof(c_0_43,plain,
! [X28] :
( ( ~ cC2(X28)
| ~ cC12(X28) )
& ( ~ cC10(X28)
| ~ cC12(X28) )
& ( cC2(X28)
| cC10(X28)
| cC12(X28) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).
fof(c_0_44,plain,
~ cC2(iV16562),
inference(fof_simplification,[status(thm)],[axiom_21]) ).
fof(c_0_45,plain,
! [X1] :
( cC6(X1)
<=> ( ~ cC2(X1)
& ~ cC4(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_8]) ).
cnf(c_0_46,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC8(iV16560)
| ~ cC12(iV16562) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).
cnf(c_0_47,plain,
( cC8(X1)
| ~ cC16(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_48,plain,
~ cC10(iV16562),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_49,plain,
( cC2(X1)
| cC10(X1)
| cC12(X1) ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_50,plain,
~ cC2(iV16562),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
fof(c_0_51,plain,
~ cC4(iV16561),
inference(fof_simplification,[status(thm)],[axiom_16]) ).
fof(c_0_52,plain,
! [X39] :
( ( ~ cC2(X39)
| ~ cC6(X39) )
& ( ~ cC4(X39)
| ~ cC6(X39) )
& ( cC2(X39)
| cC4(X39)
| cC6(X39) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])])]) ).
cnf(c_0_53,negated_conjecture,
( ~ cC6(iV16561)
| ~ cC12(iV16562) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_33])]) ).
cnf(c_0_54,plain,
cC12(iV16562),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50]) ).
fof(c_0_55,plain,
~ cC2(iV16561),
inference(fof_simplification,[status(thm)],[axiom_19]) ).
cnf(c_0_56,plain,
~ cC4(iV16561),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
( cC2(X1)
| cC4(X1)
| cC6(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,negated_conjecture,
~ cC6(iV16561),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_54])]) ).
cnf(c_0_59,plain,
~ cC2(iV16561),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_60,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]),c_0_59]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS150+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 : n023.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 20:39:38 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Theorem for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.373s
%------------------------------------------------------------------------------