%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS172+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 : n031.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 04:36:47 PM UTC 2026
% Result : Theorem 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 9 unt; 0 def)
% Number of atoms : 188 ( 9 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 210 ( 79 ~; 102 |; 17 &)
% ( 8 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 56 ( 4 sgn 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5] :
( rq(X4,X5)
<=> rp(X4,X5) ) ),
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_7,axiom,
! [X4,X5] :
( rq(X4,X5)
=> cd(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_5,axiom,
! [X4,X5] :
( rp(X4,X5)
=> cd(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_3,axiom,
! [X4] :
( cd(X4)
<=> rp(X4,iv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(axiom_6,axiom,
! [X4,X5,X6] :
( ( rq(X4,X5)
& rq(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(axiom_2,axiom,
! [X4] :
( cd(X4)
<=> rq(X4,iv) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_4,axiom,
! [X4,X5,X6] :
( ( rp(X4,X5)
& rp(X4,X6) )
=> X5 = X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(c_0_9,negated_conjecture,
~ ( ! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) )
& ! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) )
& ! [X4,X5] :
( rq(X4,X5)
<=> rp(X4,X5) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_10,plain,
! [X4] :
( cowlThing(X4)
& ~ cowlNothing(X4) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_11,negated_conjecture,
( ( ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) )
& ( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0)
| cowlNothing(esk1_0) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_12,plain,
! [X69] :
( cowlThing(X69)
& ~ cowlNothing(X69) ),
inference(variable_rename,[status(thm)],[c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_14,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_15,plain,
! [X4] :
( xsd_string(X4)
<=> ~ xsd_integer(X4) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_16,negated_conjecture,
( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
cnf(c_0_18,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_19,plain,
! [X70] :
( ( ~ xsd_string(X70)
| ~ xsd_integer(X70) )
& ( xsd_integer(X70)
| xsd_string(X70) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
cnf(c_0_20,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| rp(esk3_0,esk4_0)
| rq(esk3_0,esk4_0)
| ~ xsd_string(esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_14])]) ).
cnf(c_0_21,negated_conjecture,
( xsd_string(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0) ),
inference(sr,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_22,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( xsd_integer(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0) ),
inference(sr,[status(thm)],[c_0_20,c_0_18]) ).
fof(c_0_24,plain,
! [X81,X82] :
( ~ rq(X81,X82)
| cd(X81) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_7])]) ).
cnf(c_0_25,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_26,negated_conjecture,
( xsd_string(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( xsd_integer(esk2_0)
| rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[c_0_23,c_0_22]) ).
fof(c_0_28,plain,
! [X76,X77] :
( ~ rp(X76,X77)
| cd(X76) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])]) ).
fof(c_0_29,plain,
! [X72] :
( ( ~ cd(X72)
| rp(X72,iv) )
& ( ~ rp(X72,iv)
| cd(X72) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])]) ).
cnf(c_0_30,plain,
( cd(X1)
| ~ rq(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( rq(esk3_0,esk4_0)
| rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).
cnf(c_0_32,plain,
( cd(X1)
| ~ rp(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_33,negated_conjecture,
( xsd_string(esk2_0)
| cowlNothing(esk1_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| ~ xsd_integer(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_34,plain,
! [X78,X79,X80] :
( ~ rq(X78,X79)
| ~ rq(X78,X80)
| X79 = X80 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_6])]) ).
fof(c_0_35,plain,
! [X71] :
( ( ~ cd(X71)
| rq(X71,iv) )
& ( ~ rq(X71,iv)
| cd(X71) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])]) ).
fof(c_0_36,plain,
! [X73,X74,X75] :
( ~ rp(X73,X74)
| ~ rp(X73,X75)
| X74 = X75 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])]) ).
cnf(c_0_37,plain,
( rp(X1,iv)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,negated_conjecture,
cd(esk3_0),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_39,negated_conjecture,
( xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0)
| ~ xsd_string(esk2_0)
| ~ cowlThing(esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_40,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_14])]) ).
cnf(c_0_41,plain,
( X2 = X3
| ~ rq(X1,X2)
| ~ rq(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( rq(X1,iv)
| ~ cd(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_43,plain,
( X2 = X3
| ~ rp(X1,X2)
| ~ rp(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,negated_conjecture,
rp(esk3_0,iv),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,negated_conjecture,
( cowlNothing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rp(esk3_0,esk4_0)
| ~ rq(esk3_0,esk4_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_14])]) ).
cnf(c_0_46,negated_conjecture,
( xsd_string(esk2_0)
| ~ xsd_integer(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[c_0_40,c_0_18]) ).
cnf(c_0_47,negated_conjecture,
( X1 = esk4_0
| rp(esk3_0,esk4_0)
| ~ rq(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_31]) ).
cnf(c_0_48,negated_conjecture,
rq(esk3_0,iv),
inference(spm,[status(thm)],[c_0_42,c_0_38]) ).
cnf(c_0_49,negated_conjecture,
( X1 = iv
| ~ rp(esk3_0,X1) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_50,negated_conjecture,
( xsd_integer(esk2_0)
| ~ xsd_string(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(sr,[status(thm)],[c_0_45,c_0_18]) ).
cnf(c_0_51,negated_conjecture,
( xsd_string(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(csr,[status(thm)],[c_0_46,c_0_22]) ).
cnf(c_0_52,negated_conjecture,
esk4_0 = iv,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( xsd_integer(esk2_0)
| ~ rq(esk3_0,esk4_0)
| ~ rp(esk3_0,esk4_0) ),
inference(spm,[status(thm)],[c_0_50,c_0_22]) ).
cnf(c_0_54,negated_conjecture,
xsd_string(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_48]),c_0_52]),c_0_44])]) ).
cnf(c_0_55,negated_conjecture,
xsd_integer(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_52]),c_0_48]),c_0_52]),c_0_44])]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_54]),c_0_55])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS172+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 : n031.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 20:41:08 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % 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 : 1.372s
%------------------------------------------------------------------------------