%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS156+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n022.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 1.35s 1.74s
% Output : CNFRefutation 1.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 7 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 171 ( 75 ~; 67 |; 23 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 21 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC116(iV5475)
& cC140(iV5475)
& cowlThing(iV5475)
& cC138(iV5475) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_49,axiom,
! [X1] :
( cC140(X1)
<=> ( cTOP(X1)
& cC138(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(axiom_127,axiom,
! [X1] :
( cTEST(X1)
<=> ( cC140(X1)
& cC116(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).
fof(axiom_131,axiom,
cTEST(iV5475),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).
fof(c_0_6,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC116(iV5475)
& cC140(iV5475)
& cowlThing(iV5475)
& cC138(iV5475) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_7,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_8,negated_conjecture,
( ( ~ xsd_string(esk96_0)
| xsd_integer(esk96_0)
| ~ cowlThing(esk95_0)
| cowlNothing(esk95_0)
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) )
& ( xsd_string(esk96_0)
| ~ xsd_integer(esk96_0)
| ~ cowlThing(esk95_0)
| cowlNothing(esk95_0)
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_9,plain,
! [X232] :
( cowlThing(X232)
& ~ cowlNothing(X232) ),
inference(variable_rename,[status(thm)],[c_0_7]) ).
fof(c_0_10,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_11,negated_conjecture,
( xsd_integer(esk96_0)
| cowlNothing(esk95_0)
| ~ xsd_string(esk96_0)
| ~ cowlThing(esk95_0)
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,negated_conjecture,
( xsd_string(esk96_0)
| cowlNothing(esk95_0)
| ~ xsd_integer(esk96_0)
| ~ cowlThing(esk95_0)
| ~ cC116(iV5475)
| ~ cC140(iV5475)
| ~ cowlThing(iV5475)
| ~ cC138(iV5475) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
fof(c_0_14,plain,
! [X233] :
( ( ~ xsd_string(X233)
| ~ xsd_integer(X233) )
& ( xsd_integer(X233)
| xsd_string(X233) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
cnf(c_0_15,negated_conjecture,
( cowlNothing(esk95_0)
| xsd_integer(esk96_0)
| ~ xsd_string(esk96_0)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| ~ cC140(iV5475) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_12])]) ).
cnf(c_0_16,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
( cowlNothing(esk95_0)
| xsd_string(esk96_0)
| ~ xsd_integer(esk96_0)
| ~ cC116(iV5475)
| ~ cC138(iV5475)
| ~ cC140(iV5475) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_12]),c_0_12])]) ).
fof(c_0_18,plain,
! [X392] :
( ( cTOP(X392)
| ~ cC140(X392) )
& ( cC138(X392)
| ~ cC140(X392) )
& ( ~ cTOP(X392)
| ~ cC138(X392)
| cC140(X392) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_49])])]) ).
cnf(c_0_19,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,negated_conjecture,
( xsd_integer(esk96_0)
| ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(esk96_0) ),
inference(sr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
( xsd_string(esk96_0)
| ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ xsd_integer(esk96_0) ),
inference(sr,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_22,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( cC138(X1)
| ~ cC140(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
fof(c_0_24,plain,
! [X641] :
( ( cC140(X641)
| ~ cTEST(X641) )
& ( cC116(X641)
| ~ cTEST(X641) )
& ( ~ cC140(X641)
| ~ cC116(X641)
| cTEST(X641) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_127])])]) ).
cnf(c_0_25,negated_conjecture,
( ~ cC140(iV5475)
| ~ cC138(iV5475)
| ~ cC116(iV5475)
| ~ xsd_string(esk96_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( xsd_string(esk96_0)
| ~ cC140(iV5475)
| ~ cC116(iV5475) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_27,plain,
( cC116(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_28,plain,
cTEST(iV5475),
inference(split_conjunct,[status(thm)],[axiom_131]) ).
cnf(c_0_29,negated_conjecture,
( ~ cC140(iV5475)
| ~ cC116(iV5475) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_23]) ).
cnf(c_0_30,plain,
cC116(iV5475),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_31,plain,
( cC140(X1)
| ~ cTEST(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
~ cC140(iV5475),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_30])]) ).
cnf(c_0_33,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_28]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS156+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n022.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 20:38:36 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.35/1.74 % Version : CSE_E---1.7
% 1.35/1.74 % Problem : theBenchmark.p
% 1.35/1.74 % SZS status Theorem for theBenchmark.p
% 1.35/1.74 % SZS output start CNFRefutation
% See solution above
% 1.35/1.74 % Total time : 1.375s
%------------------------------------------------------------------------------