%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : KRS147+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 : n004.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 01:01:47 PM UTC 2026
% Result : Theorem 0.14s 5.49s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 28
% Syntax : Number of formulae : 110 ( 50 unt; 0 def)
% Number of atoms : 384 ( 0 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 464 ( 190 ~; 151 |; 99 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 23 ( 22 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-1 aty)
% Number of variables : 100 ( 2 sgn 61 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_39,axiom,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( ~ cC6(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).
fof(axiom_65,axiom,
~ cC6(iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).
fof(axiom_17,axiom,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).
fof(axiom_74,axiom,
~ cC2(iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).
fof(axiom_71,axiom,
~ cC78(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).
fof(axiom_40,axiom,
! [X1] :
( cC80(X1)
<=> ( ~ cC78(X1)
& ~ cC2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).
fof(axiom_70,axiom,
~ cC2(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).
fof(the_axiom,conjecture,
( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_7,axiom,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_14,axiom,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( ~ cC32(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_80,axiom,
~ cC32(iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(axiom_22,axiom,
! [X1] :
( cC48(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).
fof(axiom_0,axiom,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_2,axiom,
! [X1] :
( cC10(X1)
<=> ( cC8(X1)
& cC4(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_58,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).
fof(axiom_60,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).
fof(axiom_4,axiom,
! [X1] :
( cC14(X1)
<=> ? [X2] :
( cTOP(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_27,axiom,
! [X1] :
( cC58(X1)
<=> ? [X2] :
( cC2(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).
fof(axiom_41,axiom,
! [X1] :
( cC82(X1)
<=> ? [X2] :
( cC80(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_30,axiom,
! [X1] :
( cC62(X1)
<=> ? [X2] :
( cC60(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).
fof(axiom_62,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(axiom_68,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).
fof(axiom_61,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(axiom_76,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).
fof(axiom_84,axiom,
cC2(iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).
fof(axiom_55,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).
fof(axiom_29,axiom,
! [X1] :
( cC60(X1)
<=> ( ~ cC2(X1)
& cC58(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(c_0_28,plain,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( ~ cC6(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_39]) ).
fof(c_0_29,plain,
~ cC6(iV8469),
inference(fof_simplification,[status(thm)],[axiom_65]) ).
fof(c_0_30,plain,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_17]) ).
fof(c_0_31,plain,
~ cC2(iV8472),
inference(fof_simplification,[status(thm)],[axiom_74]) ).
fof(c_0_32,plain,
~ cC78(iV8471),
inference(fof_simplification,[status(thm)],[axiom_71]) ).
fof(c_0_33,plain,
! [X1] :
( cC80(X1)
<=> ( ~ cC78(X1)
& ~ cC2(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_40]) ).
fof(c_0_34,plain,
~ cC2(iV8471),
inference(fof_simplification,[status(thm)],[axiom_70]) ).
fof(c_0_35,negated_conjecture,
~ ( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_36,plain,
! [X32,X34,X35] :
( ( cC8(X34)
| cC6(X35)
| ~ rR1(X34,X35) )
& ( ~ cC8(X32)
| ~ cC6(esk8_1(X32)) )
& ( ~ cC8(X32)
| rR1(X32,esk8_1(X32)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])])])])]) ).
fof(c_0_37,plain,
~ cC6(iV8469),
inference(fof_nnf,[status(thm)],[c_0_29]) ).
fof(c_0_38,plain,
! [X45,X47,X48] :
( ( cC4(X47)
| cC2(X48)
| ~ rR1(X47,X48) )
& ( ~ cC4(X45)
| ~ cC2(esk11_1(X45)) )
& ( ~ cC4(X45)
| rR1(X45,esk11_1(X45)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])])])]) ).
fof(c_0_39,plain,
~ cC2(iV8472),
inference(fof_nnf,[status(thm)],[c_0_31]) ).
fof(c_0_40,plain,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_41,plain,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( ~ cC32(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_14]) ).
fof(c_0_42,plain,
~ cC32(iV8474),
inference(fof_simplification,[status(thm)],[axiom_80]) ).
fof(c_0_43,plain,
! [X1] :
( cC48(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_22]) ).
fof(c_0_44,plain,
~ cC78(iV8471),
inference(fof_nnf,[status(thm)],[c_0_32]) ).
fof(c_0_45,plain,
! [X14] :
( ( cC80(X14)
| cC78(X14)
| cC2(X14) )
& ( ~ cC80(X14)
| ~ cC78(X14) )
& ( ~ cC80(X14)
| ~ cC2(X14) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).
fof(c_0_46,plain,
~ cC2(iV8471),
inference(fof_nnf,[status(thm)],[c_0_34]) ).
fof(c_0_47,negated_conjecture,
~ ( cC58(iV8472)
& cowlThing(iV8472)
& cC60(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC34(iV8467)
& cC62(iV8467)
& cowlThing(iV8467)
& cC20(iV8467)
& cC8(iV8467)
& cC14(iV8467)
& cC82(iV8467)
& cC4(iV8467)
& cC48(iV8467)
& cC10(iV8467)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_48,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_49,plain,
! [X31] :
( ( cC10(X31)
| ~ cC8(X31)
| ~ cC4(X31) )
& ( ~ cC10(X31)
| cC8(X31) )
& ( ~ cC10(X31)
| cC4(X31) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).
cnf(c_0_50,plain,
( ~ rR1(X1,X2)
| cC8(X1)
| cC6(X2) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_51,plain,
rR1(iV8467,iV8469),
inference(split_conjunct,[status(thm)],[axiom_58]) ).
cnf(c_0_52,plain,
~ cC6(iV8469),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_53,plain,
( ~ rR1(X1,X2)
| cC4(X1)
| cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_54,plain,
rR1(iV8467,iV8472),
inference(split_conjunct,[status(thm)],[axiom_60]) ).
cnf(c_0_55,plain,
~ cC2(iV8472),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_56,plain,
! [X36,X38,X39] :
( ( cC14(X38)
| ~ cTOP(X39)
| ~ rR1(X38,X39) )
& ( ~ cC14(X36)
| cTOP(esk9_1(X36)) )
& ( ~ cC14(X36)
| rR1(X36,esk9_1(X36)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_4])])])])])])]) ).
fof(c_0_57,plain,
! [X26,X28,X29] :
( ( cC20(X28)
| cC2(X29)
| ~ rR1(X28,X29) )
& ( ~ cC20(X26)
| ~ cC2(esk7_1(X26)) )
& ( ~ cC20(X26)
| rR1(X26,esk7_1(X26)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])])])])])]) ).
fof(c_0_58,plain,
! [X20,X22,X23] :
( ( cC34(X22)
| cC32(X23)
| ~ rR1(X22,X23) )
& ( ~ cC34(X20)
| ~ cC32(esk6_1(X20)) )
& ( ~ cC34(X20)
| rR1(X20,esk6_1(X20)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])])])]) ).
fof(c_0_59,plain,
~ cC32(iV8474),
inference(fof_nnf,[status(thm)],[c_0_42]) ).
fof(c_0_60,plain,
! [X49,X51,X52] :
( ( cC48(X51)
| cC2(X52)
| ~ rR1(X51,X52) )
& ( ~ cC48(X49)
| ~ cC2(esk12_1(X49)) )
& ( ~ cC48(X49)
| rR1(X49,esk12_1(X49)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])])])])]) ).
fof(c_0_61,plain,
! [X5,X7,X8] :
( ( cC58(X7)
| ~ cC2(X8)
| ~ rR1(X7,X8) )
& ( ~ cC58(X5)
| cC2(esk3_1(X5)) )
& ( ~ cC58(X5)
| rR1(X5,esk3_1(X5)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_27])])])])])])]) ).
fof(c_0_62,plain,
! [X15,X17,X18] :
( ( cC82(X17)
| ~ cC80(X18)
| ~ rR1(X17,X18) )
& ( ~ cC82(X15)
| cC80(esk5_1(X15)) )
& ( ~ cC82(X15)
| rR1(X15,esk5_1(X15)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_41])])])])])])]) ).
cnf(c_0_63,plain,
~ cC78(iV8471),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_64,plain,
( cC80(X1)
| cC78(X1)
| cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_65,plain,
~ cC2(iV8471),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
fof(c_0_66,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_67,plain,
! [X10,X12,X13] :
( ( cC62(X12)
| ~ cC60(X13)
| ~ rR1(X12,X13) )
& ( ~ cC62(X10)
| cC60(esk4_1(X10)) )
& ( ~ cC62(X10)
| rR1(X10,esk4_1(X10)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_30])])])])])])]) ).
fof(c_0_68,negated_conjecture,
( ( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| cowlNothing(esk1_0)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| xsd_string(esk2_0) )
& ( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| 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_47])])])])]) ).
fof(c_0_69,plain,
! [X59] :
( ~ cowlNothing(X59)
& cowlThing(X59) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_48])]) ).
cnf(c_0_70,plain,
( ~ cC8(X1)
| ~ cC4(X1)
| cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_71,plain,
cC8(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52]) ).
cnf(c_0_72,plain,
cC4(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]) ).
cnf(c_0_73,plain,
( ~ cTOP(X2)
| ~ rR1(X1,X2)
| cC14(X1) ),
inference(split_conjunct,[status(thm)],[c_0_56]) ).
cnf(c_0_74,plain,
rR1(iV8467,iV8470),
inference(split_conjunct,[status(thm)],[axiom_62]) ).
cnf(c_0_75,plain,
cTOP(iV8470),
inference(split_conjunct,[status(thm)],[axiom_68]) ).
cnf(c_0_76,plain,
( ~ rR1(X1,X2)
| cC20(X1)
| cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_77,plain,
( ~ rR1(X1,X2)
| cC34(X1)
| cC32(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_78,plain,
rR1(iV8467,iV8474),
inference(split_conjunct,[status(thm)],[axiom_61]) ).
cnf(c_0_79,plain,
~ cC32(iV8474),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_80,plain,
( ~ rR1(X1,X2)
| cC48(X1)
| cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_81,plain,
( ~ cC2(X2)
| ~ rR1(X1,X2)
| cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_82,plain,
rR1(iV8472,iV8476),
inference(split_conjunct,[status(thm)],[axiom_76]) ).
cnf(c_0_83,plain,
cC2(iV8476),
inference(split_conjunct,[status(thm)],[axiom_84]) ).
cnf(c_0_84,plain,
( ~ cC80(X2)
| ~ rR1(X1,X2)
| cC82(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_85,plain,
rR1(iV8467,iV8471),
inference(split_conjunct,[status(thm)],[axiom_55]) ).
cnf(c_0_86,plain,
cC80(iV8471),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
fof(c_0_87,plain,
! [X58] :
( ( xsd_string(X58)
| xsd_integer(X58) )
& ( ~ xsd_integer(X58)
| ~ xsd_string(X58) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_66])])]) ).
cnf(c_0_88,plain,
( ~ cC60(X2)
| ~ rR1(X1,X2)
| cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_89,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(esk1_0)
| ~ xsd_string(esk2_0)
| cowlNothing(esk1_0)
| xsd_integer(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_90,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_91,plain,
cC10(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_92,plain,
cC14(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).
cnf(c_0_93,plain,
cC20(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_54]),c_0_55]) ).
cnf(c_0_94,plain,
cC34(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_79]) ).
cnf(c_0_95,plain,
cC48(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_54]),c_0_55]) ).
cnf(c_0_96,plain,
cC58(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_83])]) ).
cnf(c_0_97,plain,
cC82(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_85]),c_0_86])]) ).
cnf(c_0_98,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_99,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_100,plain,
( ~ cC60(iV8472)
| cC62(iV8467) ),
inference(spm,[status(thm)],[c_0_88,c_0_54]) ).
cnf(c_0_101,negated_conjecture,
( ~ cC58(iV8472)
| ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC34(iV8467)
| ~ cC62(iV8467)
| ~ cowlThing(iV8467)
| ~ cC20(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC82(iV8467)
| ~ cC4(iV8467)
| ~ cC48(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(esk1_0)
| ~ xsd_integer(esk2_0)
| cowlNothing(esk1_0)
| xsd_string(esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
fof(c_0_102,plain,
! [X1] :
( cC60(X1)
<=> ( ~ cC2(X1)
& cC58(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_29]) ).
cnf(c_0_103,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_87]) ).
cnf(c_0_104,negated_conjecture,
( ~ cC60(iV8472)
| 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)],[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_89,c_0_90]),c_0_90]),c_0_90]),c_0_90]),c_0_91]),c_0_72]),c_0_71]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_86]),c_0_97])]),c_0_98]),c_0_99]),c_0_100]) ).
cnf(c_0_105,negated_conjecture,
( ~ cC60(iV8472)
| 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)],[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_101,c_0_90]),c_0_90]),c_0_90]),c_0_90]),c_0_91]),c_0_72]),c_0_71]),c_0_92]),c_0_93]),c_0_94]),c_0_95]),c_0_96]),c_0_86]),c_0_97])]),c_0_98]),c_0_99]),c_0_100]) ).
fof(c_0_106,plain,
! [X9] :
( ( cC60(X9)
| cC2(X9)
| ~ cC58(X9) )
& ( ~ cC60(X9)
| ~ cC2(X9) )
& ( ~ cC60(X9)
| cC58(X9) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_102])])])]) ).
cnf(c_0_107,negated_conjecture,
~ cC60(iV8472),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_104]),c_0_105]) ).
cnf(c_0_108,plain,
( ~ cC58(X1)
| cC60(X1)
| cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_109,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_96])]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/5.38 % Computer : n004.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sun Sep 20 22:54:44 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/5.43 Running first-order theorem proving
% 0.14/5.43 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
% 0.14/5.49 % Version: 3.5.1
% 0.14/5.49 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.49 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.49 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.49 % Starting sh5l with 300s (1) cores
% 0.14/5.49 % sh5l with pid 1672367 completed with status 0
% 0.14/5.49 % Result found by sh5l
% 0.14/5.49 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.49 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.49 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.49 % Starting sh5l with 300s (1) cores
% 0.14/5.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.14/5.49 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/5.49 % Search class: FGHNF-FFMM11-SFFFFFNN
% 0.14/5.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.49 % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.49 % SubtermCWHack with pid 1672372 completed with status 0
% 0.14/5.49 % Result found by SubtermCWHack
% 0.14/5.49 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/5.49 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/5.49 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/5.49 % Starting new_bool_3 with 300s (1) cores
% 0.14/5.49 % Starting new_bool_1 with 300s (1) cores
% 0.14/5.49 % Starting sh5l with 300s (1) cores
% 0.14/5.49 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.14/5.49 % SinE strategy is gf500_gu_R04_F100_L20000
% 0.14/5.49 % Search class: FGHNF-FFMM11-SFFFFFNN
% 0.14/5.49 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.14/5.49 % Starting SubtermCWHack with 31s (1) cores
% 0.14/5.49 % Preprocessing time : 0.003 s
% 0.14/5.49
% 0.14/5.49 % Proof found!
% 0.14/5.49 % SZS status Theorem
% 0.14/5.49 % SZS output start CNFRefutation
% See solution above
% 0.14/5.49 % Parsed axioms : 87
% 0.14/5.49 % Removed by relevancy pruning/SinE : 2
% 0.14/5.49 % Initial clauses : 178
% 0.14/5.49 % Removed in clause preprocessing : 0
% 0.14/5.49 % Initial clauses in saturation : 178
% 0.14/5.49 % Processed clauses : 525
% 0.14/5.49 % ...of these trivial : 70
% 0.14/5.49 % ...subsumed : 27
% 0.14/5.49 % ...remaining for further processing : 428
% 0.14/5.49 % Other redundant clauses eliminated : 0
% 0.14/5.49 % Clauses deleted for lack of memory : 0
% 0.14/5.49 % Backward-subsumed : 4
% 0.14/5.49 % Backward-rewritten : 11
% 0.14/5.49 % Generated clauses : 1235
% 0.14/5.49 % ...of the previous two non-redundant : 1179
% 0.14/5.49 % ...aggressively subsumed : 0
% 0.14/5.49 % Contextual simplify-reflections : 5
% 0.14/5.49 % Paramodulations : 1235
% 0.14/5.49 % Factorizations : 0
% 0.14/5.49 % NegExts : 0
% 0.14/5.49 % Equation resolutions : 0
% 0.14/5.49 % Disequality decompositions : 0
% 0.14/5.49 % Total rewrite steps : 124
% 0.14/5.49 % ...of those cached : 97
% 0.14/5.49 % Propositional unsat checks : 0
% 0.14/5.49 % Propositional check models : 0
% 0.14/5.49 % Propositional check unsatisfiable : 0
% 0.14/5.49 % Propositional clauses : 0
% 0.14/5.49 % Propositional clauses after purity: 0
% 0.14/5.49 % Propositional unsat core size : 0
% 0.14/5.49 % Propositional preprocessing time : 0.000
% 0.14/5.49 % Propositional encoding time : 0.000
% 0.14/5.49 % Propositional solver time : 0.000
% 0.14/5.49 % Success case prop preproc time : 0.000
% 0.14/5.49 % Success case prop encoding time : 0.000
% 0.14/5.49 % Success case prop solver time : 0.000
% 0.14/5.49 % Current number of processed clauses : 413
% 0.14/5.49 % Positive orientable unit clauses : 28
% 0.14/5.49 % Positive unorientable unit clauses: 0
% 0.14/5.49 % Negative unit clauses : 34
% 0.14/5.49 % Non-unit-clauses : 351
% 0.14/5.49 % Current number of unprocessed clauses: 832
% 0.14/5.49 % ...number of literals in the above : 2476
% 0.14/5.49 % Current number of archived formulas : 0
% 0.14/5.49 % Current number of archived clauses : 15
% 0.14/5.49 % Clause-clause subsumption calls (NU) : 17134
% 0.14/5.49 % Rec. Clause-clause subsumption calls : 16160
% 0.14/5.49 % Non-unit clause-clause subsumptions : 5
% 0.14/5.49 % Unit Clause-clause subsumption calls : 2028
% 0.14/5.49 % Rewrite failures with RHS unbound : 0
% 0.14/5.49 % BW rewrite match attempts : 11
% 0.14/5.49 % BW rewrite match successes : 11
% 0.14/5.49 % Condensation attempts : 0
% 0.14/5.49 % Condensation successes : 0
% 0.14/5.49 % Termbank termtop insertions : 19648
% 0.14/5.49 % Search garbage collected termcells : 2273
% 0.14/5.49
% 0.14/5.49 % -------------------------------------------------
% 0.14/5.49 % User time : 0.034 s
% 0.14/5.49 % System time : 0.009 s
% 0.14/5.49 % Total time : 0.043 s
% 0.14/5.49 % Maximum resident set size: 4228 pages
% 0.14/5.49
% 0.14/5.49 % -------------------------------------------------
% 0.14/5.49 % User time : 0.037 s
% 0.14/5.49 % System time : 0.014 s
% 0.14/5.49 % Total time : 0.051 s
% 0.14/5.49 % Maximum resident set size: 4864 pages
% 0.14/5.49 % E exiting
%------------------------------------------------------------------------------