%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS143+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 : n012.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 1.11s 1.62s
% Output : CNFRefutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 7 unt; 0 def)
% Number of atoms : 243 ( 20 equ)
% Maximal formula atoms : 46 ( 4 avg)
% Number of connectives : 286 ( 103 ~; 150 |; 22 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 58 ( 21 sgn 25 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( cc(X4)
=> ( ? [X5] : rp(X4,X5)
& ! [X5,X6] :
( ( rp(X4,X5)
& rp(X4,X6) )
=> X5 = X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X4] :
( cc(X4)
=> ? [X5] : rp(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X4] :
( cc(X4)
=> ! [X5,X6] :
( ( rp(X4,X5)
& rp(X4,X6) )
=> X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(c_0_5,negated_conjecture,
~ ( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4] :
( cc(X4)
=> ( ? [X5] : rp(X4,X5)
& ! [X5,X6] :
( ( rp(X4,X5)
& rp(X4,X6) )
=> X5 = X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_6,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_7,negated_conjecture,
! [X62] :
( ( cc(esk4_0)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X62)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X62)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( esk5_0 != esk6_0
| ~ rp(esk4_0,X62)
| ~ xsd_string(esk3_0)
| xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( cc(esk4_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X62)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X62)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) )
& ( esk5_0 != esk6_0
| ~ rp(esk4_0,X62)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0)
| cowlNothing(esk2_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])]) ).
fof(c_0_8,plain,
! [X52] :
( cowlThing(X52)
& ~ cowlNothing(X52) ),
inference(variable_rename,[status(thm)],[c_0_6]) ).
fof(c_0_9,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_10,negated_conjecture,
( cc(esk4_0)
| xsd_integer(esk3_0)
| cowlNothing(esk2_0)
| ~ xsd_string(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
( rp(esk4_0,esk5_0)
| xsd_integer(esk3_0)
| cowlNothing(esk2_0)
| ~ rp(esk4_0,X1)
| ~ xsd_string(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_13,plain,
! [X53] :
( ( ~ xsd_string(X53)
| ~ xsd_integer(X53) )
& ( xsd_integer(X53)
| xsd_string(X53) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])]) ).
cnf(c_0_14,negated_conjecture,
( cc(esk4_0)
| cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| ~ xsd_string(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).
cnf(c_0_15,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_16,negated_conjecture,
( cc(esk4_0)
| xsd_string(esk3_0)
| cowlNothing(esk2_0)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_17,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11])]) ).
cnf(c_0_18,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X54] :
( ~ cc(X54)
| rp(X54,esk1_1(X54)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
cnf(c_0_20,negated_conjecture,
( xsd_integer(esk3_0)
| cc(esk4_0)
| ~ xsd_string(esk3_0) ),
inference(sr,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( rp(esk4_0,esk5_0)
| xsd_string(esk3_0)
| cowlNothing(esk2_0)
| ~ rp(esk4_0,X1)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_22,negated_conjecture,
( cc(esk4_0)
| cowlNothing(esk2_0)
| xsd_string(esk3_0)
| ~ xsd_integer(esk3_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_11])]) ).
cnf(c_0_23,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_17,c_0_15]),c_0_18]) ).
cnf(c_0_24,plain,
( rp(X1,esk1_1(X1))
| ~ cc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( xsd_integer(esk3_0)
| cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_26,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rp(esk4_0,esk5_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_11])]) ).
cnf(c_0_27,negated_conjecture,
( xsd_string(esk3_0)
| cc(esk4_0)
| ~ xsd_integer(esk3_0) ),
inference(sr,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_29,negated_conjecture,
( rp(esk4_0,esk6_0)
| xsd_integer(esk3_0)
| cowlNothing(esk2_0)
| ~ rp(esk4_0,X1)
| ~ xsd_string(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_30,negated_conjecture,
( xsd_string(esk3_0)
| rp(esk4_0,esk5_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_26,c_0_15]),c_0_23]) ).
cnf(c_0_31,negated_conjecture,
( xsd_string(esk3_0)
| rp(esk4_0,esk5_0)
| cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,negated_conjecture,
( rp(esk4_0,esk6_0)
| xsd_string(esk3_0)
| cowlNothing(esk2_0)
| ~ rp(esk4_0,X1)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_33,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| rp(esk4_0,esk6_0)
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_11])]) ).
fof(c_0_34,plain,
! [X56,X57,X58] :
( ~ cc(X56)
| ~ rp(X56,X57)
| ~ rp(X56,X58)
| X57 = X58 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])]) ).
cnf(c_0_35,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_36,negated_conjecture,
( xsd_string(esk3_0)
| rp(esk4_0,esk5_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_24]),c_0_31]) ).
cnf(c_0_37,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| rp(esk4_0,esk6_0)
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_11])]) ).
cnf(c_0_38,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_15]),c_0_18]) ).
cnf(c_0_39,plain,
( X2 = X3
| ~ cc(X1)
| ~ rp(X1,X2)
| ~ rp(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_40,negated_conjecture,
rp(esk4_0,esk5_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_28]) ).
cnf(c_0_41,negated_conjecture,
( xsd_string(esk3_0)
| rp(esk4_0,esk6_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_37,c_0_15]),c_0_38]) ).
cnf(c_0_42,negated_conjecture,
( X1 = esk5_0
| ~ rp(esk4_0,X1)
| ~ cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,negated_conjecture,
( xsd_string(esk3_0)
| rp(esk4_0,esk6_0) ),
inference(spm,[status(thm)],[c_0_41,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
( xsd_integer(esk3_0)
| rp(esk4_0,esk6_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_24]),c_0_25]) ).
cnf(c_0_45,negated_conjecture,
( xsd_integer(esk3_0)
| cowlNothing(esk2_0)
| esk5_0 != esk6_0
| ~ rp(esk4_0,X1)
| ~ xsd_string(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_46,negated_conjecture,
( X1 = esk5_0
| xsd_integer(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(spm,[status(thm)],[c_0_42,c_0_25]) ).
cnf(c_0_47,negated_conjecture,
rp(esk4_0,esk6_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_43]),c_0_44]) ).
cnf(c_0_48,negated_conjecture,
( xsd_string(esk3_0)
| cowlNothing(esk2_0)
| esk5_0 != esk6_0
| ~ rp(esk4_0,X1)
| ~ xsd_integer(esk3_0)
| ~ cowlThing(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_49,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_integer(esk3_0)
| esk6_0 != esk5_0
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_11])]) ).
cnf(c_0_50,negated_conjecture,
( esk6_0 = esk5_0
| xsd_integer(esk3_0) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_51,negated_conjecture,
( cowlNothing(esk2_0)
| xsd_string(esk3_0)
| esk6_0 != esk5_0
| ~ xsd_integer(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_11])]) ).
cnf(c_0_52,negated_conjecture,
( esk6_0 != esk5_0
| ~ xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_49,c_0_15]),c_0_35]) ).
cnf(c_0_53,negated_conjecture,
( esk6_0 = esk5_0
| xsd_string(esk3_0)
| cc(esk4_0) ),
inference(spm,[status(thm)],[c_0_27,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
( esk6_0 != esk5_0
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_51,c_0_15]),c_0_18]),c_0_52]) ).
cnf(c_0_55,negated_conjecture,
( X1 = esk5_0
| xsd_string(esk3_0)
| ~ rp(esk4_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_53]),c_0_54]) ).
cnf(c_0_56,negated_conjecture,
( esk6_0 = esk5_0
| xsd_string(esk3_0) ),
inference(spm,[status(thm)],[c_0_55,c_0_47]) ).
cnf(c_0_57,negated_conjecture,
esk6_0 = esk5_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_56]),c_0_50]) ).
cnf(c_0_58,negated_conjecture,
~ rp(esk4_0,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_57])]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_40,c_0_58]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : KRS143+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.06 % 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
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Mon May 4 20:38:16 EDT 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.11/1.62 % Version : CSE_E---1.7
% 1.11/1.62 % Problem : theBenchmark.p
% 1.11/1.62 % SZS status Theorem for theBenchmark.p
% 1.11/1.62 % SZS output start CNFRefutation
% See solution above
% 1.11/1.62 % Total time : 1.362s
%------------------------------------------------------------------------------