%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:01:02 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 24
% Syntax : Number of formulae : 108 ( 51 unt; 0 def)
% Number of atoms : 324 ( 0 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 395 ( 179 ~; 117 |; 76 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 57 ( 2 sgn 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_84,axiom,
~ cC10(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
fof(axiom_43,axiom,
! [X1] :
( cC56(X1)
<=> ( ~ cC10(X1)
& cC4(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).
fof(the_axiom,conjecture,
( cC80(iV822576)
& cC136(iV822576)
& cC114(iV822576)
& cC110(iV822576)
& cC56(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_79,axiom,
~ cC108(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
fof(axiom_7,axiom,
! [X1] :
( cC110(X1)
<=> ( ~ cC108(X1)
& ~ cC102(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_70,axiom,
~ cC102(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(axiom_76,axiom,
~ cC96(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
fof(axiom_9,axiom,
! [X1] :
( cC114(X1)
<=> ( ~ cC112(X1)
& ~ cC96(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).
fof(axiom_87,axiom,
~ cC112(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).
fof(axiom_88,axiom,
~ cC78(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).
fof(axiom_57,axiom,
! [X1] :
( cC80(X1)
<=> ( ~ cC76(X1)
& ~ cC78(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(axiom_86,axiom,
~ cC76(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).
fof(axiom_78,axiom,
~ cC92(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).
fof(axiom_64,axiom,
! [X1] :
( cC94(X1)
<=> ( ~ cC92(X1)
& ~ cC86(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).
fof(axiom_77,axiom,
~ cC86(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).
fof(axiom_0,axiom,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_44,axiom,
! [X1] :
( cC58(X1)
<=> ( cC56(X1)
& cC34(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(axiom_75,axiom,
cC4(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_21,axiom,
! [X1] :
( cC136(X1)
<=> ( ~ cC134(X1)
& cC116(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).
fof(axiom_20,axiom,
! [X1] :
( cC134(X1)
<=> ( cC132(X1)
& ~ cC130(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).
fof(axiom_74,axiom,
cC34(iV822576),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
fof(axiom_19,axiom,
! [X1] :
( cC132(X1)
<=> ( cC2(X1)
& ~ cC4(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).
fof(axiom_10,axiom,
! [X1] :
( cC116(X1)
<=> ( cC80(X1)
& cC114(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).
fof(c_0_24,plain,
~ cC10(iV822576),
inference(fof_simplification,[status(thm)],[axiom_84]) ).
fof(c_0_25,plain,
! [X1] :
( cC56(X1)
<=> ( ~ cC10(X1)
& cC4(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_43]) ).
fof(c_0_26,negated_conjecture,
~ ( cC80(iV822576)
& cC136(iV822576)
& cC114(iV822576)
& cC110(iV822576)
& cC56(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_27,plain,
~ cC108(iV822576),
inference(fof_simplification,[status(thm)],[axiom_79]) ).
fof(c_0_28,plain,
! [X1] :
( cC110(X1)
<=> ( ~ cC108(X1)
& ~ cC102(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_29,plain,
~ cC102(iV822576),
inference(fof_simplification,[status(thm)],[axiom_70]) ).
fof(c_0_30,plain,
~ cC96(iV822576),
inference(fof_simplification,[status(thm)],[axiom_76]) ).
fof(c_0_31,plain,
! [X1] :
( cC114(X1)
<=> ( ~ cC112(X1)
& ~ cC96(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_9]) ).
fof(c_0_32,plain,
~ cC112(iV822576),
inference(fof_simplification,[status(thm)],[axiom_87]) ).
fof(c_0_33,plain,
~ cC78(iV822576),
inference(fof_simplification,[status(thm)],[axiom_88]) ).
fof(c_0_34,plain,
! [X1] :
( cC80(X1)
<=> ( ~ cC76(X1)
& ~ cC78(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_57]) ).
fof(c_0_35,plain,
~ cC76(iV822576),
inference(fof_simplification,[status(thm)],[axiom_86]) ).
fof(c_0_36,plain,
~ cC10(iV822576),
inference(fof_nnf,[status(thm)],[c_0_24]) ).
fof(c_0_37,plain,
! [X15] :
( ( cC56(X15)
| cC10(X15)
| ~ cC4(X15) )
& ( ~ cC56(X15)
| ~ cC10(X15) )
& ( ~ cC56(X15)
| cC4(X15) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])])]) ).
fof(c_0_38,plain,
~ cC92(iV822576),
inference(fof_simplification,[status(thm)],[axiom_78]) ).
fof(c_0_39,plain,
! [X1] :
( cC94(X1)
<=> ( ~ cC92(X1)
& ~ cC86(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_64]) ).
fof(c_0_40,plain,
~ cC86(iV822576),
inference(fof_simplification,[status(thm)],[axiom_77]) ).
fof(c_0_41,negated_conjecture,
~ ( cC80(iV822576)
& cC136(iV822576)
& cC114(iV822576)
& cC110(iV822576)
& cC56(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& cowlThing(iV822576)
& cC94(iV822576)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_42,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_43,plain,
~ cC108(iV822576),
inference(fof_nnf,[status(thm)],[c_0_27]) ).
fof(c_0_44,plain,
! [X13] :
( ( cC110(X13)
| cC108(X13)
| cC102(X13) )
& ( ~ cC110(X13)
| ~ cC108(X13) )
& ( ~ cC110(X13)
| ~ cC102(X13) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_45,plain,
~ cC102(iV822576),
inference(fof_nnf,[status(thm)],[c_0_29]) ).
fof(c_0_46,plain,
~ cC96(iV822576),
inference(fof_nnf,[status(thm)],[c_0_30]) ).
fof(c_0_47,plain,
! [X12] :
( ( cC114(X12)
| cC112(X12)
| cC96(X12) )
& ( ~ cC114(X12)
| ~ cC112(X12) )
& ( ~ cC114(X12)
| ~ cC96(X12) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])])]) ).
fof(c_0_48,plain,
~ cC112(iV822576),
inference(fof_nnf,[status(thm)],[c_0_32]) ).
fof(c_0_49,plain,
~ cC78(iV822576),
inference(fof_nnf,[status(thm)],[c_0_33]) ).
fof(c_0_50,plain,
! [X6] :
( ( cC80(X6)
| cC76(X6)
| cC78(X6) )
& ( ~ cC80(X6)
| ~ cC76(X6) )
& ( ~ cC80(X6)
| ~ cC78(X6) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])])]) ).
fof(c_0_51,plain,
~ cC76(iV822576),
inference(fof_nnf,[status(thm)],[c_0_35]) ).
fof(c_0_52,plain,
! [X16] :
( ( cC58(X16)
| ~ cC56(X16)
| ~ cC34(X16) )
& ( ~ cC58(X16)
| cC56(X16) )
& ( ~ cC58(X16)
| cC34(X16) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_44])])])]) ).
cnf(c_0_53,plain,
~ cC10(iV822576),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_54,plain,
( ~ cC4(X1)
| cC56(X1)
| cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_55,plain,
cC4(iV822576),
inference(split_conjunct,[status(thm)],[axiom_75]) ).
fof(c_0_56,plain,
~ cC92(iV822576),
inference(fof_nnf,[status(thm)],[c_0_38]) ).
fof(c_0_57,plain,
! [X22] :
( ( cC94(X22)
| cC92(X22)
| cC86(X22) )
& ( ~ cC94(X22)
| ~ cC92(X22) )
& ( ~ cC94(X22)
| ~ cC86(X22) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).
fof(c_0_58,plain,
~ cC86(iV822576),
inference(fof_nnf,[status(thm)],[c_0_40]) ).
fof(c_0_59,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_60,plain,
! [X1] :
( cC136(X1)
<=> ( ~ cC134(X1)
& cC116(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_21]) ).
fof(c_0_61,plain,
! [X1] :
( cC134(X1)
<=> ( cC132(X1)
& ~ cC130(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_20]) ).
fof(c_0_62,negated_conjecture,
( ( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0) )
& ( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| xsd_integer(esk2_0)
| ~ xsd_string(esk2_0) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])]) ).
fof(c_0_63,plain,
! [X21] :
( ~ cowlNothing(X21)
& cowlThing(X21) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_42])]) ).
cnf(c_0_64,plain,
~ cC108(iV822576),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_65,plain,
( cC110(X1)
| cC108(X1)
| cC102(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_66,plain,
~ cC102(iV822576),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_67,plain,
~ cC96(iV822576),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_68,plain,
( cC114(X1)
| cC112(X1)
| cC96(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_69,plain,
~ cC112(iV822576),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_70,plain,
~ cC78(iV822576),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_71,plain,
( cC80(X1)
| cC76(X1)
| cC78(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_72,plain,
~ cC76(iV822576),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_73,plain,
( ~ cC56(X1)
| ~ cC34(X1)
| cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_74,plain,
cC56(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_75,plain,
cC34(iV822576),
inference(split_conjunct,[status(thm)],[axiom_74]) ).
cnf(c_0_76,plain,
~ cC92(iV822576),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_77,plain,
( cC94(X1)
| cC92(X1)
| cC86(X1) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_78,plain,
~ cC86(iV822576),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
fof(c_0_79,plain,
! [X24] :
( ( xsd_string(X24)
| xsd_integer(X24) )
& ( ~ xsd_integer(X24)
| ~ xsd_string(X24) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).
fof(c_0_80,plain,
! [X7] :
( ( cC136(X7)
| cC134(X7)
| ~ cC116(X7) )
& ( ~ cC136(X7)
| ~ cC134(X7) )
& ( ~ cC136(X7)
| cC116(X7) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])])])]) ).
fof(c_0_81,plain,
! [X1] :
( cC132(X1)
<=> ( cC2(X1)
& ~ cC4(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_19]) ).
fof(c_0_82,plain,
! [X27] :
( ( cC134(X27)
| ~ cC132(X27)
| cC130(X27) )
& ( ~ cC134(X27)
| cC132(X27) )
& ( ~ cC134(X27)
| ~ cC130(X27) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])])])]) ).
cnf(c_0_83,negated_conjecture,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_84,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_85,plain,
cC110(iV822576),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).
cnf(c_0_86,plain,
cC114(iV822576),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_87,plain,
cC80(iV822576),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72]) ).
cnf(c_0_88,plain,
cC58(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_89,plain,
cC94(iV822576),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_90,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_91,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_92,plain,
( ~ cC136(X1)
| cC116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_93,negated_conjecture,
( ~ cC80(iV822576)
| ~ cC136(iV822576)
| ~ cC114(iV822576)
| ~ cC110(iV822576)
| ~ cC56(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ~ cowlThing(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
fof(c_0_94,plain,
! [X34] :
( ( cC132(X34)
| ~ cC2(X34)
| cC4(X34) )
& ( ~ cC132(X34)
| cC2(X34) )
& ( ~ cC132(X34)
| ~ cC4(X34) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_81])])])]) ).
cnf(c_0_95,plain,
( ~ cC134(X1)
| cC132(X1) ),
inference(split_conjunct,[status(thm)],[c_0_82]) ).
cnf(c_0_96,plain,
( ~ cC116(X1)
| cC136(X1)
| cC134(X1) ),
inference(split_conjunct,[status(thm)],[c_0_80]) ).
cnf(c_0_97,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_79]) ).
cnf(c_0_98,negated_conjecture,
( ~ cC136(iV822576)
| xsd_integer(esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_83,c_0_84]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_74]),c_0_88]),c_0_89])]),c_0_90]),c_0_91]),c_0_92]) ).
cnf(c_0_99,negated_conjecture,
( ~ cC136(iV822576)
| xsd_string(esk2_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_84]),c_0_84]),c_0_85]),c_0_86]),c_0_87]),c_0_74]),c_0_88]),c_0_89])]),c_0_90]),c_0_91]),c_0_92]) ).
cnf(c_0_100,plain,
( ~ cC132(X1)
| ~ cC4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_94]) ).
cnf(c_0_101,plain,
( ~ cC116(X1)
| cC132(X1)
| cC136(X1) ),
inference(spm,[status(thm)],[c_0_95,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
~ cC136(iV822576),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_103,plain,
( ~ cC4(X1)
| ~ cC116(X1)
| cC136(X1) ),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
fof(c_0_104,plain,
! [X5] :
( ( cC116(X5)
| ~ cC80(X5)
| ~ cC114(X5) )
& ( ~ cC116(X5)
| cC80(X5) )
& ( ~ cC116(X5)
| cC114(X5) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_10])])])]) ).
cnf(c_0_105,negated_conjecture,
~ cC116(iV822576),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_55])]) ).
cnf(c_0_106,plain,
( ~ cC80(X1)
| ~ cC114(X1)
| cC116(X1) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_107,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_106]),c_0_87]),c_0_86])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : KRS146+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n011.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 20 22:54:41 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43 Running first-order theorem proving
% 0.13/0.44 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.47 % Version: 3.5.1
% 0.18/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 % Starting sh5l with 300s (1) cores
% 0.18/0.47 % new_bool_1 with pid 374453 completed with status 0
% 0.18/0.47 % Result found by new_bool_1
% 0.18/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47 % Search class: FGHNF-FFMS11-SFFFFFNN
% 0.18/0.47 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.47 % SubtermCWHack with pid 374456 completed with status 0
% 0.18/0.47 % Result found by SubtermCWHack
% 0.18/0.47 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.47 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.47 % Starting new_bool_3 with 300s (1) cores
% 0.18/0.47 % Starting new_bool_1 with 300s (1) cores
% 0.18/0.47 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.18/0.47 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.47 % Search class: FGHNF-FFMS11-SFFFFFNN
% 0.18/0.47 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47 % Starting SubtermCWHack with 31s (1) cores
% 0.18/0.47 % Preprocessing time : 0.001 s
% 0.18/0.47
% 0.18/0.47 % Proof found!
% 0.18/0.47 % SZS status Theorem
% 0.18/0.47 % SZS output start CNFRefutation
% See solution above
% 0.18/0.47 % Parsed axioms : 92
% 0.18/0.47 % Removed by relevancy pruning/SinE : 40
% 0.18/0.47 % Initial clauses : 115
% 0.18/0.47 % Removed in clause preprocessing : 0
% 0.18/0.47 % Initial clauses in saturation : 115
% 0.18/0.47 % Processed clauses : 167
% 0.18/0.47 % ...of these trivial : 0
% 0.18/0.47 % ...subsumed : 8
% 0.18/0.47 % ...remaining for further processing : 159
% 0.18/0.47 % Other redundant clauses eliminated : 0
% 0.18/0.47 % Clauses deleted for lack of memory : 0
% 0.18/0.47 % Backward-subsumed : 3
% 0.18/0.47 % Backward-rewritten : 1
% 0.18/0.47 % Generated clauses : 167
% 0.18/0.47 % ...of the previous two non-redundant : 93
% 0.18/0.47 % ...aggressively subsumed : 0
% 0.18/0.47 % Contextual simplify-reflections : 5
% 0.18/0.47 % Paramodulations : 167
% 0.18/0.47 % Factorizations : 0
% 0.18/0.47 % NegExts : 0
% 0.18/0.47 % Equation resolutions : 0
% 0.18/0.47 % Disequality decompositions : 0
% 0.18/0.47 % Total rewrite steps : 56
% 0.18/0.47 % ...of those cached : 45
% 0.18/0.47 % Propositional unsat checks : 0
% 0.18/0.47 % Propositional check models : 0
% 0.18/0.47 % Propositional check unsatisfiable : 0
% 0.18/0.47 % Propositional clauses : 0
% 0.18/0.47 % Propositional clauses after purity: 0
% 0.18/0.47 % Propositional unsat core size : 0
% 0.18/0.47 % Propositional preprocessing time : 0.000
% 0.18/0.47 % Propositional encoding time : 0.000
% 0.18/0.47 % Propositional solver time : 0.000
% 0.18/0.47 % Success case prop preproc time : 0.000
% 0.18/0.47 % Success case prop encoding time : 0.000
% 0.18/0.47 % Success case prop solver time : 0.000
% 0.18/0.47 % Current number of processed clauses : 155
% 0.18/0.47 % Positive orientable unit clauses : 11
% 0.18/0.47 % Positive unorientable unit clauses: 0
% 0.18/0.47 % Negative unit clauses : 17
% 0.18/0.47 % Non-unit-clauses : 127
% 0.18/0.47 % Current number of unprocessed clauses: 41
% 0.18/0.47 % ...number of literals in the above : 122
% 0.18/0.47 % Current number of archived formulas : 0
% 0.18/0.47 % Current number of archived clauses : 4
% 0.18/0.47 % Clause-clause subsumption calls (NU) : 4621
% 0.18/0.47 % Rec. Clause-clause subsumption calls : 4209
% 0.18/0.47 % Non-unit clause-clause subsumptions : 7
% 0.18/0.47 % Unit Clause-clause subsumption calls : 61
% 0.18/0.47 % Rewrite failures with RHS unbound : 0
% 0.18/0.47 % BW rewrite match attempts : 1
% 0.18/0.47 % BW rewrite match successes : 1
% 0.18/0.47 % Condensation attempts : 0
% 0.18/0.47 % Condensation successes : 0
% 0.18/0.47 % Termbank termtop insertions : 7873
% 0.18/0.47 % Search garbage collected termcells : 1388
% 0.18/0.47
% 0.18/0.47 % -------------------------------------------------
% 0.18/0.47 % User time : 0.012 s
% 0.18/0.47 % System time : 0.001 s
% 0.18/0.47 % Total time : 0.014 s
% 0.18/0.47 % Maximum resident set size: 3980 pages
% 0.18/0.47
% 0.18/0.47 % -------------------------------------------------
% 0.18/0.47 % User time : 0.014 s
% 0.18/0.47 % System time : 0.007 s
% 0.18/0.47 % Total time : 0.021 s
% 0.18/0.47 % Maximum resident set size: 4608 pages
% 0.18/0.47 % E exiting
%------------------------------------------------------------------------------