%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS154+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 : n001.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 1.37s 1.79s
% Output : CNFRefutation 1.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 82 ( 35 unt; 0 def)
% Number of atoms : 292 ( 0 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 366 ( 156 ~; 147 |; 51 &)
% ( 12 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 41 ( 2 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
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_22,axiom,
! [X1] :
( cC116(X1)
<=> ( cC114(X1)
& cC80(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(axiom_117,axiom,
! [X1] :
( cC80(X1)
<=> ( cC78xcomp(X1)
& cC76xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_117) ).
fof(axiom_21,axiom,
! [X1] :
( cC114(X1)
<=> ( cC112xcomp(X1)
& cC96xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(axiom_15,axiom,
! [X1] :
( cC110(X1)
<=> ( cC102xcomp(X1)
& cC108xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(axiom_42,axiom,
! [X1] :
( cC136(X1)
<=> ( cC134xcomp(X1)
& cC116(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(axiom_158,axiom,
cC78xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_158) ).
fof(axiom_152,axiom,
cC76xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_152) ).
fof(axiom_153,axiom,
cC96xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_153) ).
fof(axiom_151,axiom,
cC112xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_151) ).
fof(axiom_148,axiom,
cC108xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_148) ).
fof(axiom_147,axiom,
cC102xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_147) ).
fof(axiom_94,axiom,
! [X1] :
( cC58(X1)
<=> ( cC34(X1)
& cC56(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_94) ).
fof(axiom_136,axiom,
! [X1] :
( cC94(X1)
<=> ( cC86xcomp(X1)
& cC92xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_136) ).
fof(axiom_160,axiom,
cC134xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_160) ).
fof(axiom_168,axiom,
cC92xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_168) ).
fof(axiom_161,axiom,
cC86xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_161) ).
fof(axiom_162,axiom,
cC34(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_162) ).
fof(axiom_93,axiom,
! [X1] :
( cC56(X1)
<=> ( cC4(X1)
& cC10xcomp(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_93) ).
fof(axiom_149,axiom,
cC4(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_149) ).
fof(axiom_167,axiom,
cC10xcomp(iV822576),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_167) ).
fof(c_0_23,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC58(iV822576)
& cC116(iV822576)
& cC114(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& cC80(iV822576)
& cC110(iV822576)
& cC136(iV822576)
& cC56(iV822576) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_24,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_25,negated_conjecture,
( ( ~ xsd_string(esk93_0)
| xsd_integer(esk93_0)
| ~ cowlThing(esk92_0)
| cowlNothing(esk92_0)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) )
& ( xsd_string(esk93_0)
| ~ xsd_integer(esk93_0)
| ~ cowlThing(esk92_0)
| cowlNothing(esk92_0)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
fof(c_0_26,plain,
! [X246] :
( cowlThing(X246)
& ~ cowlNothing(X246) ),
inference(variable_rename,[status(thm)],[c_0_24]) ).
fof(c_0_27,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_28,negated_conjecture,
( xsd_string(esk93_0)
| cowlNothing(esk92_0)
| ~ xsd_integer(esk93_0)
| ~ cowlThing(esk92_0)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_29,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_30,plain,
! [X247] :
( ( ~ xsd_string(X247)
| ~ xsd_integer(X247) )
& ( xsd_integer(X247)
| xsd_string(X247) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
fof(c_0_31,plain,
! [X310] :
( ( cC114(X310)
| ~ cC116(X310) )
& ( cC80(X310)
| ~ cC116(X310) )
& ( ~ cC114(X310)
| ~ cC80(X310)
| cC116(X310) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_22])])]) ).
cnf(c_0_32,negated_conjecture,
( xsd_integer(esk93_0)
| cowlNothing(esk92_0)
| ~ xsd_string(esk93_0)
| ~ cowlThing(esk92_0)
| ~ cC58(iV822576)
| ~ cC116(iV822576)
| ~ cC114(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cC80(iV822576)
| ~ cC110(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
( cowlNothing(esk92_0)
| xsd_string(esk93_0)
| ~ xsd_integer(esk93_0)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576)
| ~ cC58(iV822576)
| ~ cC94(iV822576) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29]),c_0_29])]) ).
cnf(c_0_34,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_35,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_36,plain,
( cC114(X1)
| ~ cC116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_37,plain,
! [X576] :
( ( cC78xcomp(X576)
| ~ cC80(X576) )
& ( cC76xcomp(X576)
| ~ cC80(X576) )
& ( ~ cC78xcomp(X576)
| ~ cC76xcomp(X576)
| cC80(X576) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_117])])]) ).
fof(c_0_38,plain,
! [X309] :
( ( cC112xcomp(X309)
| ~ cC114(X309) )
& ( cC96xcomp(X309)
| ~ cC114(X309) )
& ( ~ cC112xcomp(X309)
| ~ cC96xcomp(X309)
| cC114(X309) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_21])])]) ).
cnf(c_0_39,negated_conjecture,
( cowlNothing(esk92_0)
| xsd_integer(esk93_0)
| ~ xsd_string(esk93_0)
| ~ cC110(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC56(iV822576)
| ~ cC58(iV822576)
| ~ cC94(iV822576) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_29]),c_0_29])]) ).
cnf(c_0_40,negated_conjecture,
( xsd_string(esk93_0)
| ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC110(iV822576) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]) ).
fof(c_0_41,plain,
! [X291] :
( ( cC102xcomp(X291)
| ~ cC110(X291) )
& ( cC108xcomp(X291)
| ~ cC110(X291) )
& ( ~ cC102xcomp(X291)
| ~ cC108xcomp(X291)
| cC110(X291) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_15])])]) ).
fof(c_0_42,plain,
! [X363] :
( ( cC134xcomp(X363)
| ~ cC136(X363) )
& ( cC116(X363)
| ~ cC136(X363) )
& ( ~ cC134xcomp(X363)
| ~ cC116(X363)
| cC136(X363) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_42])])]) ).
cnf(c_0_43,plain,
( cC80(X1)
| ~ cC78xcomp(X1)
| ~ cC76xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
cC78xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_158]) ).
cnf(c_0_45,plain,
cC76xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_152]) ).
cnf(c_0_46,plain,
( cC114(X1)
| ~ cC112xcomp(X1)
| ~ cC96xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,plain,
cC96xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_153]) ).
cnf(c_0_48,plain,
cC112xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_151]) ).
cnf(c_0_49,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_50,negated_conjecture,
( xsd_integer(esk93_0)
| ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC110(iV822576) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_39,c_0_34]),c_0_40]),c_0_36]) ).
cnf(c_0_51,plain,
( cC110(X1)
| ~ cC102xcomp(X1)
| ~ cC108xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_52,plain,
cC108xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_148]) ).
cnf(c_0_53,plain,
cC102xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_147]) ).
fof(c_0_54,plain,
! [X517] :
( ( cC34(X517)
| ~ cC58(X517) )
& ( cC56(X517)
| ~ cC58(X517) )
& ( ~ cC34(X517)
| ~ cC56(X517)
| cC58(X517) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_94])])]) ).
fof(c_0_55,plain,
! [X637] :
( ( cC86xcomp(X637)
| ~ cC94(X637) )
& ( cC92xcomp(X637)
| ~ cC94(X637) )
& ( ~ cC86xcomp(X637)
| ~ cC92xcomp(X637)
| cC94(X637) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_136])])]) ).
cnf(c_0_56,plain,
( cC136(X1)
| ~ cC134xcomp(X1)
| ~ cC116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_57,plain,
cC134xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_160]) ).
cnf(c_0_58,plain,
( cC116(X1)
| ~ cC114(X1)
| ~ cC80(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_59,plain,
cC80(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_60,plain,
cC114(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_61,negated_conjecture,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576)
| ~ cC116(iV822576)
| ~ cC110(iV822576) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_40]) ).
cnf(c_0_62,plain,
cC110(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_63,plain,
( cC116(X1)
| ~ cC136(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_64,plain,
( cC56(X1)
| ~ cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_65,plain,
( cC94(X1)
| ~ cC86xcomp(X1)
| ~ cC92xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_55]) ).
cnf(c_0_66,plain,
cC92xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_168]) ).
cnf(c_0_67,plain,
cC86xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_161]) ).
cnf(c_0_68,plain,
( cC136(iV822576)
| ~ cC116(iV822576) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_69,plain,
cC116(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_70,negated_conjecture,
( ~ cC94(iV822576)
| ~ cC58(iV822576)
| ~ cC136(iV822576)
| ~ cC80(iV822576) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_62])]),c_0_63]),c_0_64]) ).
cnf(c_0_71,plain,
cC94(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67])]) ).
cnf(c_0_72,plain,
cC136(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]) ).
cnf(c_0_73,negated_conjecture,
~ cC58(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_59])]),c_0_71]),c_0_72])]) ).
cnf(c_0_74,plain,
( cC58(X1)
| ~ cC34(X1)
| ~ cC56(X1) ),
inference(split_conjunct,[status(thm)],[c_0_54]) ).
cnf(c_0_75,plain,
cC34(iV822576),
inference(split_conjunct,[status(thm)],[axiom_162]) ).
fof(c_0_76,plain,
! [X516] :
( ( cC4(X516)
| ~ cC56(X516) )
& ( cC10xcomp(X516)
| ~ cC56(X516) )
& ( ~ cC4(X516)
| ~ cC10xcomp(X516)
| cC56(X516) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_93])])]) ).
cnf(c_0_77,negated_conjecture,
~ cC56(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_78,plain,
( cC56(X1)
| ~ cC4(X1)
| ~ cC10xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_79,plain,
cC4(iV822576),
inference(split_conjunct,[status(thm)],[axiom_149]) ).
cnf(c_0_80,plain,
cC10xcomp(iV822576),
inference(split_conjunct,[status(thm)],[axiom_167]) ).
cnf(c_0_81,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]),c_0_80])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS154+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
% 0.17/0.33 % Computer : n001.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Mon May 4 20:39:18 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 1.37/1.79 % Version : CSE_E---1.7
% 1.37/1.79 % Problem : theBenchmark.p
% 1.37/1.79 % SZS status Theorem for theBenchmark.p
% 1.37/1.79 % SZS output start CNFRefutation
% See solution above
% 1.37/1.80 % Total time : 1.423s
%------------------------------------------------------------------------------