%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of formulae : 112 ( 50 unt; 0 def)
% Number of atoms : 414 ( 0 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 518 ( 216 ~; 179 |; 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(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/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_39,axiom,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( ~ cC6(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
fof(axiom_65,axiom,
~ cC6(iV8469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(axiom_17,axiom,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(axiom_74,axiom,
~ cC2(iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
fof(axiom_71,axiom,
~ cC78(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
fof(axiom_40,axiom,
! [X1] :
( cC80(X1)
<=> ( ~ cC78(X1)
& ~ cC2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(axiom_70,axiom,
~ cC2(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
fof(axiom_0,axiom,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_7,axiom,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_14,axiom,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( ~ cC32(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(axiom_80,axiom,
~ cC32(iV8474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_80) ).
fof(axiom_22,axiom,
! [X1] :
( cC48(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(axiom_2,axiom,
! [X1] :
( cC10(X1)
<=> ( cC8(X1)
& cC4(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_58,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(axiom_60,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(axiom_4,axiom,
! [X1] :
( cC14(X1)
<=> ? [X2] :
( cTOP(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_27,axiom,
! [X1] :
( cC58(X1)
<=> ? [X2] :
( cC2(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(axiom_41,axiom,
! [X1] :
( cC82(X1)
<=> ? [X2] :
( cC80(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_30,axiom,
! [X1] :
( cC62(X1)
<=> ? [X2] :
( cC60(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(axiom_62,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(axiom_68,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_68) ).
fof(axiom_61,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(axiom_76,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_76) ).
fof(axiom_84,axiom,
cC2(iV8476),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_84) ).
fof(axiom_55,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
fof(axiom_29,axiom,
! [X1] :
( cC60(X1)
<=> ( ~ cC2(X1)
& cC58(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(c_0_28,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_29,plain,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( ~ cC6(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_39]) ).
fof(c_0_30,plain,
~ cC6(iV8469),
inference(fof_simplification,[status(thm)],[axiom_65]) ).
fof(c_0_31,plain,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_17]) ).
fof(c_0_32,plain,
~ cC2(iV8472),
inference(fof_simplification,[status(thm)],[axiom_74]) ).
fof(c_0_33,plain,
~ cC78(iV8471),
inference(fof_simplification,[status(thm)],[axiom_71]) ).
fof(c_0_34,plain,
! [X1] :
( cC80(X1)
<=> ( ~ cC78(X1)
& ~ cC2(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_40]) ).
fof(c_0_35,plain,
~ cC2(iV8471),
inference(fof_simplification,[status(thm)],[axiom_70]) ).
fof(c_0_36,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_28]) ).
fof(c_0_37,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_38,plain,
! [X117,X119,X120] :
( ( cC8(X119)
| cC6(X120)
| ~ rR1(X119,X120) )
& ( ~ cC8(X117)
| ~ cC6(esk26_1(X117)) )
& ( ~ cC8(X117)
| rR1(X117,esk26_1(X117)) ) ),
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_29])])])])])])]) ).
fof(c_0_39,plain,
~ cC6(iV8469),
inference(fof_nnf,[status(thm)],[c_0_30]) ).
fof(c_0_40,plain,
! [X53,X55,X56] :
( ( cC4(X55)
| cC2(X56)
| ~ rR1(X55,X56) )
& ( ~ cC4(X53)
| ~ cC2(esk12_1(X53)) )
& ( ~ cC4(X53)
| rR1(X53,esk12_1(X53)) ) ),
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_31])])])])])])]) ).
fof(c_0_41,plain,
~ cC2(iV8472),
inference(fof_nnf,[status(thm)],[c_0_32]) ).
fof(c_0_42,plain,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_43,plain,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( ~ cC32(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_14]) ).
fof(c_0_44,plain,
~ cC32(iV8474),
inference(fof_simplification,[status(thm)],[axiom_80]) ).
fof(c_0_45,plain,
! [X1] :
( cC48(X1)
<=> ? [X2] :
( ~ cC2(X2)
& rR1(X1,X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_22]) ).
fof(c_0_46,plain,
~ cC78(iV8471),
inference(fof_nnf,[status(thm)],[c_0_33]) ).
fof(c_0_47,plain,
! [X121] :
( ( cC80(X121)
| cC78(X121)
| cC2(X121) )
& ( ~ cC80(X121)
| ~ cC78(X121) )
& ( ~ cC80(X121)
| ~ cC2(X121) ) ),
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_48,plain,
~ cC2(iV8471),
inference(fof_nnf,[status(thm)],[c_0_35]) ).
fof(c_0_49,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(esk32_0)
| ~ cowlThing(esk32_0)
| ~ xsd_integer(esk33_0)
| xsd_string(esk33_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(esk32_0)
| ~ cowlThing(esk32_0)
| xsd_integer(esk33_0)
| ~ xsd_string(esk33_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_36])])])])]) ).
fof(c_0_50,plain,
! [X3] :
( ~ cowlNothing(X3)
& cowlThing(X3) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).
fof(c_0_51,plain,
! [X5] :
( ( cC10(X5)
| ~ cC8(X5)
| ~ cC4(X5) )
& ( ~ cC10(X5)
| cC8(X5) )
& ( ~ cC10(X5)
| cC4(X5) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).
cnf(c_0_52,plain,
( ~ rR1(X1,X2)
| cC8(X1)
| cC6(X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_53,plain,
rR1(iV8467,iV8469),
inference(split_conjunct,[status(thm)],[axiom_58]) ).
cnf(c_0_54,plain,
~ cC6(iV8469),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_55,plain,
( ~ rR1(X1,X2)
| cC4(X1)
| cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_56,plain,
rR1(iV8467,iV8472),
inference(split_conjunct,[status(thm)],[axiom_60]) ).
cnf(c_0_57,plain,
~ cC2(iV8472),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
fof(c_0_58,plain,
! [X10,X12,X13] :
( ( cC14(X12)
| ~ cTOP(X13)
| ~ rR1(X12,X13) )
& ( ~ cC14(X10)
| cTOP(esk2_1(X10)) )
& ( ~ cC14(X10)
| rR1(X10,esk2_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_4])])])])])])]) ).
fof(c_0_59,plain,
! [X19,X21,X22] :
( ( cC20(X21)
| cC2(X22)
| ~ rR1(X21,X22) )
& ( ~ cC20(X19)
| ~ cC2(esk4_1(X19)) )
& ( ~ cC20(X19)
| rR1(X19,esk4_1(X19)) ) ),
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_42])])])])])])]) ).
fof(c_0_60,plain,
! [X41,X43,X44] :
( ( cC34(X43)
| cC32(X44)
| ~ rR1(X43,X44) )
& ( ~ cC34(X41)
| ~ cC32(esk9_1(X41)) )
& ( ~ cC34(X41)
| rR1(X41,esk9_1(X41)) ) ),
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,
~ cC32(iV8474),
inference(fof_nnf,[status(thm)],[c_0_44]) ).
fof(c_0_62,plain,
! [X67,X69,X70] :
( ( cC48(X69)
| cC2(X70)
| ~ rR1(X69,X70) )
& ( ~ cC48(X67)
| ~ cC2(esk15_1(X67)) )
& ( ~ cC48(X67)
| rR1(X67,esk15_1(X67)) ) ),
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_45])])])])])])]) ).
fof(c_0_63,plain,
! [X81,X83,X84] :
( ( cC58(X83)
| ~ cC2(X84)
| ~ rR1(X83,X84) )
& ( ~ cC58(X81)
| cC2(esk18_1(X81)) )
& ( ~ cC58(X81)
| rR1(X81,esk18_1(X81)) ) ),
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_64,plain,
! [X122,X124,X125] :
( ( cC82(X124)
| ~ cC80(X125)
| ~ rR1(X124,X125) )
& ( ~ cC82(X122)
| cC80(esk27_1(X122)) )
& ( ~ cC82(X122)
| rR1(X122,esk27_1(X122)) ) ),
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_65,plain,
~ cC78(iV8471),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_66,plain,
( cC80(X1)
| cC78(X1)
| cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_67,plain,
~ cC2(iV8471),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_68,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_69,plain,
! [X90,X92,X93] :
( ( cC62(X92)
| ~ cC60(X93)
| ~ rR1(X92,X93) )
& ( ~ cC62(X90)
| cC60(esk20_1(X90)) )
& ( ~ cC62(X90)
| rR1(X90,esk20_1(X90)) ) ),
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])])])])])])]) ).
cnf(c_0_70,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(esk32_0)
| ~ xsd_integer(esk33_0)
| cowlNothing(esk32_0)
| xsd_string(esk33_0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_71,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_72,plain,
( ~ cC8(X1)
| ~ cC4(X1)
| cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_73,plain,
cC8(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).
cnf(c_0_74,plain,
cC4(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).
cnf(c_0_75,plain,
( ~ cTOP(X2)
| ~ rR1(X1,X2)
| cC14(X1) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_76,plain,
rR1(iV8467,iV8470),
inference(split_conjunct,[status(thm)],[axiom_62]) ).
cnf(c_0_77,plain,
cTOP(iV8470),
inference(split_conjunct,[status(thm)],[axiom_68]) ).
cnf(c_0_78,plain,
( ~ rR1(X1,X2)
| cC20(X1)
| cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_79,plain,
( ~ rR1(X1,X2)
| cC34(X1)
| cC32(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_80,plain,
rR1(iV8467,iV8474),
inference(split_conjunct,[status(thm)],[axiom_61]) ).
cnf(c_0_81,plain,
~ cC32(iV8474),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_82,plain,
( ~ rR1(X1,X2)
| cC48(X1)
| cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_83,plain,
( ~ cC2(X2)
| ~ rR1(X1,X2)
| cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_84,plain,
rR1(iV8472,iV8476),
inference(split_conjunct,[status(thm)],[axiom_76]) ).
cnf(c_0_85,plain,
cC2(iV8476),
inference(split_conjunct,[status(thm)],[axiom_84]) ).
cnf(c_0_86,plain,
( ~ cC80(X2)
| ~ rR1(X1,X2)
| cC82(X1) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_87,plain,
rR1(iV8467,iV8471),
inference(split_conjunct,[status(thm)],[axiom_55]) ).
cnf(c_0_88,plain,
cC80(iV8471),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).
fof(c_0_89,plain,
! [X4] :
( ( xsd_string(X4)
| xsd_integer(X4) )
& ( ~ xsd_integer(X4)
| ~ xsd_string(X4) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).
cnf(c_0_90,plain,
( ~ cC60(X2)
| ~ rR1(X1,X2)
| cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_91,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(esk32_0)
| ~ xsd_string(esk33_0)
| cowlNothing(esk32_0)
| xsd_integer(esk33_0) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_92,negated_conjecture,
( ~ cC82(iV8467)
| ~ cC80(iV8471)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC10(iV8467)
| ~ xsd_integer(esk33_0)
| xsd_string(esk33_0)
| cowlNothing(esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_71]),c_0_71]),c_0_71]),c_0_71])]) ).
cnf(c_0_93,plain,
cC10(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_94,plain,
cC14(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77])]) ).
cnf(c_0_95,plain,
cC20(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_56]),c_0_57]) ).
cnf(c_0_96,plain,
cC34(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_97,plain,
cC48(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_56]),c_0_57]) ).
cnf(c_0_98,plain,
cC58(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_99,plain,
cC82(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).
cnf(c_0_100,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_101,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_102,plain,
( ~ cC60(iV8472)
| cC62(iV8467) ),
inference(spm,[status(thm)],[c_0_90,c_0_56]) ).
cnf(c_0_103,negated_conjecture,
( ~ cC82(iV8467)
| ~ cC80(iV8471)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC10(iV8467)
| ~ xsd_string(esk33_0)
| xsd_integer(esk33_0)
| cowlNothing(esk32_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_71]),c_0_71]),c_0_71]),c_0_71])]) ).
cnf(c_0_104,negated_conjecture,
( ~ cC60(iV8472)
| xsd_string(esk33_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)],[c_0_92,c_0_93]),c_0_74]),c_0_73]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_88]),c_0_99])]),c_0_100]),c_0_101]),c_0_102]) ).
fof(c_0_105,plain,
! [X1] :
( cC60(X1)
<=> ( ~ cC2(X1)
& cC58(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_29]) ).
cnf(c_0_106,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_107,negated_conjecture,
( ~ cC60(iV8472)
| xsd_integer(esk33_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)],[c_0_103,c_0_93]),c_0_74]),c_0_73]),c_0_94]),c_0_95]),c_0_96]),c_0_97]),c_0_98]),c_0_88]),c_0_99])]),c_0_100]),c_0_104]),c_0_102]) ).
fof(c_0_108,plain,
! [X89] :
( ( cC60(X89)
| cC2(X89)
| ~ cC58(X89) )
& ( ~ cC60(X89)
| ~ cC2(X89) )
& ( ~ cC60(X89)
| cC58(X89) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])])]) ).
cnf(c_0_109,negated_conjecture,
~ cC60(iV8472),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_104]) ).
cnf(c_0_110,plain,
( ~ cC58(X1)
| cC60(X1)
| cC2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_108]) ).
cnf(c_0_111,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_110]),c_0_98])]),c_0_57]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS147+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n014.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 22:54:36 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.14/0.44 % Version: 3.5.1
% 0.14/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.44 % Starting new_bool_3 with 300s (1) cores
% 0.14/0.44 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.44 % Starting sh5l with 300s (1) cores
% 0.14/0.44 % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 2542857 completed with status 0
% 0.14/0.44 % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.14/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.44 % No SInE strategy applied
% 0.14/0.44 % Search class: FGHNF-FFMM11-SFFFFFNN
% 0.14/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.14/0.44 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.14/0.44 % Starting new_bool_3 with 136s (1) cores
% 0.14/0.44 % Starting new_bool_1 with 136s (1) cores
% 0.14/0.44 % SubtermCWHack with pid 2542863 completed with status 0
% 0.14/0.44 % Result found by SubtermCWHack
% 0.14/0.44 % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.14/0.44 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.44 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.14/0.44 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.44 % No SInE strategy applied
% 0.14/0.44 % Search class: FGHNF-FFMM11-SFFFFFNN
% 0.14/0.44 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.44 % Starting SubtermCWHack with 136s (1) cores
% 0.14/0.44 % Preprocessing time : 0.002 s
% 0.14/0.44
% 0.14/0.44 % Proof found!
% 0.14/0.44 % SZS status Theorem
% 0.14/0.44 % SZS output start CNFRefutation
% See solution above
% 0.14/0.45 % Parsed axioms : 87
% 0.14/0.45 % Removed by relevancy pruning/SinE : 0
% 0.14/0.45 % Initial clauses : 184
% 0.14/0.45 % Removed in clause preprocessing : 11
% 0.14/0.45 % Initial clauses in saturation : 173
% 0.14/0.45 % Processed clauses : 547
% 0.14/0.45 % ...of these trivial : 77
% 0.14/0.45 % ...subsumed : 33
% 0.14/0.45 % ...remaining for further processing : 437
% 0.14/0.45 % Other redundant clauses eliminated : 0
% 0.14/0.45 % Clauses deleted for lack of memory : 0
% 0.14/0.45 % Backward-subsumed : 3
% 0.14/0.45 % Backward-rewritten : 1
% 0.14/0.45 % Generated clauses : 1387
% 0.14/0.45 % ...of the previous two non-redundant : 1323
% 0.14/0.45 % ...aggressively subsumed : 0
% 0.14/0.45 % Contextual simplify-reflections : 5
% 0.14/0.45 % Paramodulations : 1387
% 0.14/0.45 % Factorizations : 0
% 0.14/0.45 % NegExts : 0
% 0.14/0.45 % Equation resolutions : 0
% 0.14/0.45 % Disequality decompositions : 0
% 0.14/0.45 % Total rewrite steps : 117
% 0.14/0.45 % ...of those cached : 100
% 0.14/0.45 % Propositional unsat checks : 0
% 0.14/0.45 % Propositional check models : 0
% 0.14/0.45 % Propositional check unsatisfiable : 0
% 0.14/0.45 % Propositional clauses : 0
% 0.14/0.45 % Propositional clauses after purity: 0
% 0.14/0.45 % Propositional unsat core size : 0
% 0.14/0.45 % Propositional preprocessing time : 0.000
% 0.14/0.45 % Propositional encoding time : 0.000
% 0.14/0.45 % Propositional solver time : 0.000
% 0.14/0.45 % Success case prop preproc time : 0.000
% 0.14/0.45 % Success case prop encoding time : 0.000
% 0.14/0.45 % Success case prop solver time : 0.000
% 0.14/0.45 % Current number of processed clauses : 433
% 0.14/0.45 % Positive orientable unit clauses : 29
% 0.14/0.45 % Positive unorientable unit clauses: 0
% 0.14/0.45 % Negative unit clauses : 36
% 0.14/0.45 % Non-unit-clauses : 368
% 0.14/0.45 % Current number of unprocessed clauses: 949
% 0.14/0.45 % ...number of literals in the above : 2828
% 0.14/0.45 % Current number of archived formulas : 0
% 0.14/0.45 % Current number of archived clauses : 5
% 0.14/0.45 % Clause-clause subsumption calls (NU) : 13827
% 0.14/0.45 % Rec. Clause-clause subsumption calls : 13095
% 0.14/0.45 % Non-unit clause-clause subsumptions : 5
% 0.14/0.45 % Unit Clause-clause subsumption calls : 976
% 0.14/0.45 % Rewrite failures with RHS unbound : 0
% 0.14/0.45 % BW rewrite match attempts : 1
% 0.14/0.45 % BW rewrite match successes : 1
% 0.14/0.45 % Condensation attempts : 0
% 0.14/0.45 % Condensation successes : 0
% 0.14/0.45 % Termbank termtop insertions : 21190
% 0.14/0.45 % Search garbage collected termcells : 2365
% 0.14/0.45
% 0.14/0.45 % -------------------------------------------------
% 0.14/0.45 % User time : 0.025 s
% 0.14/0.45 % System time : 0.004 s
% 0.14/0.45 % Total time : 0.029 s
% 0.14/0.45 % Maximum resident set size: 3972 pages
% 0.14/0.45
% 0.14/0.45 % -------------------------------------------------
% 0.14/0.45 % User time : 0.085 s
% 0.14/0.45 % System time : 0.021 s
% 0.14/0.45 % Total time : 0.106 s
% 0.14/0.45 % Maximum resident set size: 4864 pages
% 0.14/0.45 % E exiting
%------------------------------------------------------------------------------