%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS147+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 04:36:43 PM UTC 2026
% Result : Theorem 1.36s 1.75s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 28
% Syntax : Number of formulae : 115 ( 45 unt; 0 def)
% Number of atoms : 443 ( 0 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 586 ( 258 ~; 223 |; 82 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 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 : 101 ( 2 sgn 59 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472)
& cowlThing(iV8472)
& cC58(iV8472) ),
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_29,axiom,
! [X1] :
( cC60(X1)
<=> ( cC58(X1)
& ~ cC2(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(axiom_2,axiom,
! [X1] :
( cC10(X1)
<=> ( cC4(X1)
& cC8(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_40,axiom,
! [X1] :
( cC80(X1)
<=> ( ~ cC2(X1)
& ~ cC78(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(axiom_71,axiom,
~ cC78(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_71) ).
fof(axiom_70,axiom,
~ cC2(iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_70) ).
fof(axiom_41,axiom,
! [X1] :
( cC82(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC80(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(axiom_4,axiom,
! [X1] :
( cC14(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cTOP(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(axiom_30,axiom,
! [X1] :
( cC62(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC60(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(axiom_27,axiom,
! [X1] :
( cC58(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC2(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(axiom_39,axiom,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC6(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
fof(axiom_17,axiom,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC2(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(axiom_55,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
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_60,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
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_74,axiom,
~ cC2(iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
fof(axiom_65,axiom,
~ cC6(iV8469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(axiom_58,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(axiom_7,axiom,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC2(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(axiom_22,axiom,
! [X1] :
( cC48(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC2(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(axiom_14,axiom,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC32(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_61,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(c_0_28,negated_conjecture,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC10(iV8467)
& cC48(iV8467)
& cC4(iV8467)
& cC82(iV8467)
& cC14(iV8467)
& cC8(iV8467)
& cC20(iV8467)
& cowlThing(iV8467)
& cC62(iV8467)
& cC34(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC60(iV8472)
& cowlThing(iV8472)
& cC58(iV8472) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[the_axiom])]) ).
fof(c_0_29,plain,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_30,negated_conjecture,
( ( ~ xsd_string(esk33_0)
| xsd_integer(esk33_0)
| ~ cowlThing(esk32_0)
| cowlNothing(esk32_0)
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cC58(iV8472) )
& ( xsd_string(esk33_0)
| ~ xsd_integer(esk33_0)
| ~ cowlThing(esk32_0)
| cowlNothing(esk32_0)
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cC58(iV8472) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
fof(c_0_31,plain,
! [X88] :
( cowlThing(X88)
& ~ cowlNothing(X88) ),
inference(variable_rename,[status(thm)],[c_0_29]) ).
fof(c_0_32,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
fof(c_0_33,plain,
! [X1] :
( cC60(X1)
<=> ( cC58(X1)
& ~ cC2(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_29]) ).
cnf(c_0_34,negated_conjecture,
( xsd_string(esk33_0)
| cowlNothing(esk32_0)
| ~ xsd_integer(esk33_0)
| ~ cowlThing(esk32_0)
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cC58(iV8472) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_35,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_36,plain,
! [X89] :
( ( ~ xsd_string(X89)
| ~ xsd_integer(X89) )
& ( xsd_integer(X89)
| xsd_string(X89) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_37,plain,
! [X90] :
( ( cC4(X90)
| ~ cC10(X90) )
& ( cC8(X90)
| ~ cC10(X90) )
& ( ~ cC4(X90)
| ~ cC8(X90)
| cC10(X90) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
fof(c_0_38,plain,
! [X174] :
( ( cC58(X174)
| ~ cC60(X174) )
& ( ~ cC2(X174)
| ~ cC60(X174) )
& ( ~ cC58(X174)
| cC2(X174)
| cC60(X174) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
cnf(c_0_39,negated_conjecture,
( xsd_integer(esk33_0)
| cowlNothing(esk32_0)
| ~ xsd_string(esk33_0)
| ~ cowlThing(esk32_0)
| ~ cC10(iV8467)
| ~ cC48(iV8467)
| ~ cC4(iV8467)
| ~ cC82(iV8467)
| ~ cC14(iV8467)
| ~ cC8(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(iV8467)
| ~ cC62(iV8467)
| ~ cC34(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472)
| ~ cC58(iV8472) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,negated_conjecture,
( cowlNothing(esk32_0)
| xsd_string(esk33_0)
| ~ xsd_integer(esk33_0)
| ~ cC10(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC20(iV8467)
| ~ cC34(iV8467)
| ~ cC48(iV8467)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC62(iV8467)
| ~ cC80(iV8471)
| ~ cC82(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
cnf(c_0_41,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_42,plain,
( xsd_integer(X1)
| xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_43,plain,
( cC4(X1)
| ~ cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_44,plain,
( cC8(X1)
| ~ cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( cC58(X1)
| ~ cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
fof(c_0_46,plain,
! [X1] :
( cC80(X1)
<=> ( ~ cC2(X1)
& ~ cC78(X1) ) ),
inference(fof_simplification,[status(thm)],[axiom_40]) ).
cnf(c_0_47,negated_conjecture,
( cowlNothing(esk32_0)
| xsd_integer(esk33_0)
| ~ xsd_string(esk33_0)
| ~ cC10(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC14(iV8467)
| ~ cC20(iV8467)
| ~ cC34(iV8467)
| ~ cC48(iV8467)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cC62(iV8467)
| ~ cC80(iV8471)
| ~ cC82(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_35]),c_0_35]),c_0_35]),c_0_35])]) ).
cnf(c_0_48,negated_conjecture,
( xsd_string(esk33_0)
| ~ cC82(iV8467)
| ~ cC80(iV8471)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC10(iV8467) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]) ).
fof(c_0_49,plain,
~ cC78(iV8471),
inference(fof_simplification,[status(thm)],[axiom_71]) ).
fof(c_0_50,plain,
! [X206] :
( ( ~ cC2(X206)
| ~ cC80(X206) )
& ( ~ cC78(X206)
| ~ cC80(X206) )
& ( cC2(X206)
| cC78(X206)
| cC80(X206) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])]) ).
fof(c_0_51,plain,
~ cC2(iV8471),
inference(fof_simplification,[status(thm)],[axiom_70]) ).
cnf(c_0_52,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_53,negated_conjecture,
( xsd_integer(esk33_0)
| ~ cC82(iV8467)
| ~ cC80(iV8471)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC10(iV8467) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_47,c_0_41]),c_0_48]),c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_54,plain,
~ cC78(iV8471),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_55,plain,
( cC2(X1)
| cC78(X1)
| cC80(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_56,plain,
~ cC2(iV8471),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_57,plain,
! [X207,X209,X210] :
( ( rR1(X207,esk27_1(X207))
| ~ cC82(X207) )
& ( cC80(esk27_1(X207))
| ~ cC82(X207) )
& ( ~ rR1(X209,X210)
| ~ cC80(X210)
| cC82(X209) ) ),
inference(distribute,[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])])])])])]) ).
fof(c_0_58,plain,
! [X95,X97,X98] :
( ( rR1(X95,esk2_1(X95))
| ~ cC14(X95) )
& ( cTOP(esk2_1(X95))
| ~ cC14(X95) )
& ( ~ rR1(X97,X98)
| ~ cTOP(X98)
| cC14(X97) ) ),
inference(distribute,[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,
! [X175,X177,X178] :
( ( rR1(X175,esk20_1(X175))
| ~ cC62(X175) )
& ( cC60(esk20_1(X175))
| ~ cC62(X175) )
& ( ~ rR1(X177,X178)
| ~ cC60(X178)
| cC62(X177) ) ),
inference(distribute,[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_60,plain,
! [X166,X168,X169] :
( ( rR1(X166,esk18_1(X166))
| ~ cC58(X166) )
& ( cC2(esk18_1(X166))
| ~ cC58(X166) )
& ( ~ rR1(X168,X169)
| ~ cC2(X169)
| cC58(X168) ) ),
inference(distribute,[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_61,plain,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC6(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_39]) ).
fof(c_0_62,plain,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC2(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_17]) ).
cnf(c_0_63,negated_conjecture,
( ~ cC82(iV8467)
| ~ cC80(iV8471)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC10(iV8467) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_48]) ).
cnf(c_0_64,plain,
cC80(iV8471),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_65,plain,
( cC82(X1)
| ~ rR1(X1,X2)
| ~ cC80(X2) ),
inference(split_conjunct,[status(thm)],[c_0_57]) ).
cnf(c_0_66,plain,
rR1(iV8467,iV8471),
inference(split_conjunct,[status(thm)],[axiom_55]) ).
cnf(c_0_67,plain,
( cC14(X1)
| ~ rR1(X1,X2)
| ~ cTOP(X2) ),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_68,plain,
rR1(iV8467,iV8470),
inference(split_conjunct,[status(thm)],[axiom_62]) ).
cnf(c_0_69,plain,
cTOP(iV8470),
inference(split_conjunct,[status(thm)],[axiom_68]) ).
cnf(c_0_70,plain,
( cC62(X1)
| ~ rR1(X1,X2)
| ~ cC60(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_71,plain,
rR1(iV8467,iV8472),
inference(split_conjunct,[status(thm)],[axiom_60]) ).
cnf(c_0_72,plain,
( cC58(X1)
| ~ rR1(X1,X2)
| ~ cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_73,plain,
rR1(iV8472,iV8476),
inference(split_conjunct,[status(thm)],[axiom_76]) ).
cnf(c_0_74,plain,
cC2(iV8476),
inference(split_conjunct,[status(thm)],[axiom_84]) ).
fof(c_0_75,plain,
~ cC2(iV8472),
inference(fof_simplification,[status(thm)],[axiom_74]) ).
fof(c_0_76,plain,
! [X202,X204,X205] :
( ( rR1(X202,esk26_1(X202))
| ~ cC8(X202) )
& ( ~ cC6(esk26_1(X202))
| ~ cC8(X202) )
& ( ~ rR1(X204,X205)
| cC6(X205)
| cC8(X204) ) ),
inference(distribute,[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_61])])])])])]) ).
fof(c_0_77,plain,
~ cC6(iV8469),
inference(fof_simplification,[status(thm)],[axiom_65]) ).
fof(c_0_78,plain,
! [X138,X140,X141] :
( ( rR1(X138,esk12_1(X138))
| ~ cC4(X138) )
& ( ~ cC2(esk12_1(X138))
| ~ cC4(X138) )
& ( ~ rR1(X140,X141)
| cC2(X141)
| cC4(X140) ) ),
inference(distribute,[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_62])])])])])]) ).
cnf(c_0_79,negated_conjecture,
( ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC14(iV8467)
| ~ cC10(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_80,plain,
cC82(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_64])]) ).
cnf(c_0_81,plain,
cC14(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).
cnf(c_0_82,plain,
( cC62(iV8467)
| ~ cC60(iV8472) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_83,plain,
( cC2(X1)
| cC60(X1)
| ~ cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_84,plain,
cC58(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_74])]) ).
cnf(c_0_85,plain,
~ cC2(iV8472),
inference(split_conjunct,[status(thm)],[c_0_75]) ).
cnf(c_0_86,plain,
( cC6(X2)
| cC8(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_76]) ).
cnf(c_0_87,plain,
rR1(iV8467,iV8469),
inference(split_conjunct,[status(thm)],[axiom_58]) ).
cnf(c_0_88,plain,
~ cC6(iV8469),
inference(split_conjunct,[status(thm)],[c_0_77]) ).
cnf(c_0_89,plain,
( cC2(X2)
| cC4(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_78]) ).
fof(c_0_90,plain,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC2(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
cnf(c_0_91,negated_conjecture,
( ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC10(iV8467) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_80])]),c_0_81])]),c_0_82]) ).
cnf(c_0_92,plain,
cC60(iV8472),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_93,plain,
( cC10(X1)
| ~ cC4(X1)
| ~ cC8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_94,plain,
cC8(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88]) ).
cnf(c_0_95,plain,
cC4(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_71]),c_0_85]) ).
fof(c_0_96,plain,
! [X104,X106,X107] :
( ( rR1(X104,esk4_1(X104))
| ~ cC20(X104) )
& ( ~ cC2(esk4_1(X104))
| ~ cC20(X104) )
& ( ~ rR1(X106,X107)
| cC2(X107)
| cC20(X106) ) ),
inference(distribute,[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_90])])])])])]) ).
fof(c_0_97,plain,
! [X1] :
( cC48(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC2(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_22]) ).
cnf(c_0_98,negated_conjecture,
( ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467)
| ~ cC10(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]) ).
cnf(c_0_99,plain,
cC10(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95])]) ).
cnf(c_0_100,plain,
( cC2(X2)
| cC20(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
fof(c_0_101,plain,
! [X152,X154,X155] :
( ( rR1(X152,esk15_1(X152))
| ~ cC48(X152) )
& ( ~ cC2(esk15_1(X152))
| ~ cC48(X152) )
& ( ~ rR1(X154,X155)
| cC2(X155)
| cC48(X154) ) ),
inference(distribute,[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_97])])])])])]) ).
fof(c_0_102,plain,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC32(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_14]) ).
cnf(c_0_103,negated_conjecture,
( ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]) ).
cnf(c_0_104,plain,
cC20(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_71]),c_0_85]) ).
cnf(c_0_105,plain,
( cC2(X2)
| cC48(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_101]) ).
fof(c_0_106,plain,
! [X126,X128,X129] :
( ( rR1(X126,esk9_1(X126))
| ~ cC34(X126) )
& ( ~ cC32(esk9_1(X126))
| ~ cC34(X126) )
& ( ~ rR1(X128,X129)
| cC32(X129)
| cC34(X128) ) ),
inference(distribute,[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_102])])])])])]) ).
cnf(c_0_107,negated_conjecture,
( ~ cC48(iV8467)
| ~ cC34(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_103,c_0_104])]) ).
cnf(c_0_108,plain,
cC48(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_71]),c_0_85]) ).
fof(c_0_109,plain,
~ cC32(iV8474),
inference(fof_simplification,[status(thm)],[axiom_80]) ).
cnf(c_0_110,plain,
( cC32(X2)
| cC34(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_106]) ).
cnf(c_0_111,plain,
rR1(iV8467,iV8474),
inference(split_conjunct,[status(thm)],[axiom_61]) ).
cnf(c_0_112,negated_conjecture,
~ cC34(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).
cnf(c_0_113,plain,
~ cC32(iV8474),
inference(split_conjunct,[status(thm)],[c_0_109]) ).
cnf(c_0_114,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_113]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS147+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
% 0.16/0.33 % Computer : n001.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Mon May 4 20:39:33 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 1.36/1.75 % Version : CSE_E---1.7
% 1.36/1.75 % Problem : theBenchmark.p
% 1.36/1.75 % SZS status Theorem for theBenchmark.p
% 1.36/1.75 % SZS output start CNFRefutation
% See solution above
% 1.36/1.75 % Total time : 1.373s
%------------------------------------------------------------------------------