%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : KRS155+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 : n015.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 01:01:48 PM UTC 2026
% Result : Theorem 0.14s 0.46s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 28
% Syntax : Number of formulae : 100 ( 41 unt; 0 def)
% Number of atoms : 421 ( 0 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 543 ( 222 ~; 212 |; 92 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 9 con; 0-1 aty)
% Number of variables : 91 ( 2 sgn 54 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( cowlThing(iV8472)
& cC60(iV8472)
& cC58(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC48(iV8467)
& cowlThing(iV8467)
& cC10(iV8467)
& cC34(iV8467)
& cC14(iV8467)
& cC62(iV8467)
& cC82(iV8467)
& cC8(iV8467)
& cC4(iV8467)
& cC20(iV8467)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X1] :
( cC10(X1)
<=> ( cC8(X1)
& cC4(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_61,axiom,
! [X1] :
( cC60(X1)
<=> ( cC58(X1)
& cC2xcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(axiom_57,axiom,
! [X1] :
( cC58(X1)
<=> ? [X2] :
( cC2(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(axiom_80,axiom,
! [X1] :
( cC80(X1)
<=> ( cC2xcomp(X1)
& cC78xcomp(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).
fof(axiom_124,axiom,
rR1(iV8472,iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_124) ).
fof(axiom_132,axiom,
cC2(iV8476),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_132) ).
fof(axiom_79,axiom,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( cC6xcomp(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
fof(axiom_35,axiom,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( cC2xcomp(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).
fof(axiom_118,axiom,
cC78xcomp(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_118) ).
fof(axiom_119,axiom,
cC2xcomp(iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_119) ).
fof(axiom_5,axiom,
! [X1] :
( cC14(X1)
<=> ? [X2] :
( cTOP(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_82,axiom,
! [X1] :
( cC82(X1)
<=> ? [X2] :
( cC80(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
fof(axiom_62,axiom,
! [X1] :
( cC62(X1)
<=> ? [X2] :
( cC60(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).
fof(axiom_122,axiom,
cC2xcomp(iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_122) ).
fof(axiom_44,axiom,
! [X1] :
( cC48(X1)
<=> ? [X2] :
( cC2xcomp(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(axiom_29,axiom,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( cC32xcomp(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(axiom_13,axiom,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( cC2xcomp(X2)
& rR1(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).
fof(axiom_105,axiom,
rR1(iV8467,iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_105) ).
fof(axiom_113,axiom,
cC6xcomp(iV8469),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_113) ).
fof(axiom_110,axiom,
rR1(iV8467,iV8472),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_110) ).
fof(axiom_104,axiom,
rR1(iV8467,iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_104) ).
fof(axiom_116,axiom,
cTOP(iV8470),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_116) ).
fof(axiom_103,axiom,
rR1(iV8467,iV8471),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_103) ).
fof(axiom_106,axiom,
rR1(iV8467,iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_106) ).
fof(axiom_127,axiom,
cC32xcomp(iV8474),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_127) ).
fof(c_0_28,negated_conjecture,
~ ( cowlThing(iV8472)
& cC60(iV8472)
& cC58(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC48(iV8467)
& cowlThing(iV8467)
& cC10(iV8467)
& cC34(iV8467)
& cC14(iV8467)
& cC62(iV8467)
& cC82(iV8467)
& cC8(iV8467)
& cC4(iV8467)
& cC20(iV8467)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(assume_negation,[status(cth)],[the_axiom]) ).
fof(c_0_29,negated_conjecture,
~ ( cowlThing(iV8472)
& cC60(iV8472)
& cC58(iV8472)
& cC80(iV8471)
& cowlThing(iV8471)
& cC48(iV8467)
& cowlThing(iV8467)
& cC10(iV8467)
& cC34(iV8467)
& cC14(iV8467)
& cC62(iV8467)
& cC82(iV8467)
& cC8(iV8467)
& cC4(iV8467)
& cC20(iV8467)
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_30,plain,
! [X1] :
( ~ cowlNothing(X1)
& cowlThing(X1) ),
inference(fof_simplification,[status(thm)],[axiom_0]) ).
fof(c_0_31,negated_conjecture,
( ( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| cowlNothing(esk80_0)
| ~ cowlThing(esk80_0)
| ~ xsd_integer(esk81_0)
| xsd_string(esk81_0) )
& ( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| cowlNothing(esk80_0)
| ~ cowlThing(esk80_0)
| xsd_integer(esk81_0)
| ~ xsd_string(esk81_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_29])])])])]) ).
fof(c_0_32,plain,
! [X4] :
( ~ cowlNothing(X4)
& cowlThing(X4) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_30])]) ).
fof(c_0_33,plain,
! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) ),
inference(fof_simplification,[status(thm)],[axiom_1]) ).
cnf(c_0_34,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(esk80_0)
| ~ xsd_string(esk81_0)
| cowlNothing(esk80_0)
| xsd_integer(esk81_0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_35,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
fof(c_0_36,plain,
! [X5] :
( ( xsd_string(X5)
| xsd_integer(X5) )
& ( ~ xsd_integer(X5)
| ~ xsd_string(X5) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])]) ).
fof(c_0_37,plain,
! [X6] :
( ( cC10(X6)
| ~ cC8(X6)
| ~ cC4(X6) )
& ( ~ cC10(X6)
| cC8(X6) )
& ( ~ cC10(X6)
| cC4(X6) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).
fof(c_0_38,plain,
! [X218] :
( ( cC60(X218)
| ~ cC58(X218)
| ~ cC2xcomp(X218) )
& ( ~ cC60(X218)
| cC58(X218) )
& ( ~ cC60(X218)
| cC2xcomp(X218) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])]) ).
cnf(c_0_39,negated_conjecture,
( ~ cowlThing(iV8472)
| ~ cC60(iV8472)
| ~ cC58(iV8472)
| ~ cC80(iV8471)
| ~ cowlThing(iV8471)
| ~ cC48(iV8467)
| ~ cowlThing(iV8467)
| ~ cC10(iV8467)
| ~ cC34(iV8467)
| ~ cC14(iV8467)
| ~ cC62(iV8467)
| ~ cC82(iV8467)
| ~ cC8(iV8467)
| ~ cC4(iV8467)
| ~ cC20(iV8467)
| ~ cowlThing(esk80_0)
| ~ xsd_integer(esk81_0)
| cowlNothing(esk80_0)
| xsd_string(esk81_0) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_40,plain,
! [X202,X204,X205] :
( ( cC58(X204)
| ~ cC2(X205)
| ~ rR1(X204,X205) )
& ( ~ cC58(X202)
| cC2(esk48_1(X202)) )
& ( ~ cC58(X202)
| rR1(X202,esk48_1(X202)) ) ),
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_57])])])])])])]) ).
cnf(c_0_41,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(esk81_0)
| xsd_integer(esk81_0)
| cowlNothing(esk80_0) ),
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_42,plain,
~ cowlNothing(X1),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_43,plain,
( xsd_string(X1)
| xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( ~ cC10(X1)
| cC4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( ~ cC10(X1)
| cC8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,plain,
( ~ cC60(X1)
| cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_47,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(esk81_0)
| xsd_string(esk81_0)
| cowlNothing(esk80_0) ),
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])]) ).
fof(c_0_48,plain,
! [X282] :
( ( cC80(X282)
| ~ cC2xcomp(X282)
| ~ cC78xcomp(X282) )
& ( ~ cC80(X282)
| cC2xcomp(X282) )
& ( ~ cC80(X282)
| cC78xcomp(X282) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_80])])])]) ).
cnf(c_0_49,plain,
( ~ cC2(X2)
| ~ rR1(X1,X2)
| cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_50,plain,
rR1(iV8472,iV8476),
inference(split_conjunct,[status(thm)],[axiom_124]) ).
cnf(c_0_51,plain,
cC2(iV8476),
inference(split_conjunct,[status(thm)],[axiom_132]) ).
fof(c_0_52,plain,
! [X278,X280,X281] :
( ( cC8(X280)
| ~ cC6xcomp(X281)
| ~ rR1(X280,X281) )
& ( ~ cC8(X278)
| cC6xcomp(esk66_1(X278)) )
& ( ~ cC8(X278)
| rR1(X278,esk66_1(X278)) ) ),
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_79])])])])])])]) ).
fof(c_0_53,plain,
! [X126,X128,X129] :
( ( cC4(X128)
| ~ cC2xcomp(X129)
| ~ rR1(X128,X129) )
& ( ~ cC4(X126)
| cC2xcomp(esk30_1(X126)) )
& ( ~ cC4(X126)
| rR1(X126,esk30_1(X126)) ) ),
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_35])])])])])])]) ).
cnf(c_0_54,plain,
( ~ xsd_integer(X1)
| ~ xsd_string(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,negated_conjecture,
( ~ cC10(iV8467)
| ~ cC14(iV8467)
| ~ cC20(iV8467)
| ~ cC34(iV8467)
| ~ cC48(iV8467)
| ~ cC60(iV8472)
| ~ cC62(iV8467)
| ~ cC80(iV8471)
| ~ cC82(iV8467)
| xsd_integer(esk81_0) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]) ).
cnf(c_0_56,negated_conjecture,
( ~ cC10(iV8467)
| ~ cC14(iV8467)
| ~ cC20(iV8467)
| ~ cC34(iV8467)
| ~ cC48(iV8467)
| ~ cC60(iV8472)
| ~ cC62(iV8467)
| ~ cC80(iV8471)
| ~ cC82(iV8467)
| xsd_string(esk81_0) ),
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_42]),c_0_43]),c_0_44]),c_0_45]),c_0_46]) ).
cnf(c_0_57,plain,
( ~ cC2xcomp(X1)
| ~ cC78xcomp(X1)
| cC80(X1) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_58,plain,
cC78xcomp(iV8471),
inference(split_conjunct,[status(thm)],[axiom_118]) ).
cnf(c_0_59,plain,
cC2xcomp(iV8471),
inference(split_conjunct,[status(thm)],[axiom_119]) ).
fof(c_0_60,plain,
! [X15,X17,X18] :
( ( cC14(X17)
| ~ cTOP(X18)
| ~ rR1(X17,X18) )
& ( ~ cC14(X15)
| cTOP(esk3_1(X15)) )
& ( ~ cC14(X15)
| rR1(X15,esk3_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_5])])])])])])]) ).
fof(c_0_61,plain,
! [X287,X289,X290] :
( ( cC82(X289)
| ~ cC80(X290)
| ~ rR1(X289,X290) )
& ( ~ cC82(X287)
| cC80(esk68_1(X287)) )
& ( ~ cC82(X287)
| rR1(X287,esk68_1(X287)) ) ),
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_82])])])])])])]) ).
fof(c_0_62,plain,
! [X219,X221,X222] :
( ( cC62(X221)
| ~ cC60(X222)
| ~ rR1(X221,X222) )
& ( ~ cC62(X219)
| cC60(esk52_1(X219)) )
& ( ~ cC62(X219)
| rR1(X219,esk52_1(X219)) ) ),
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_62])])])])])])]) ).
cnf(c_0_63,plain,
( ~ cC58(X1)
| ~ cC2xcomp(X1)
| cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_64,plain,
cC58(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_65,plain,
cC2xcomp(iV8472),
inference(split_conjunct,[status(thm)],[axiom_122]) ).
fof(c_0_66,plain,
! [X156,X158,X159] :
( ( cC48(X158)
| ~ cC2xcomp(X159)
| ~ rR1(X158,X159) )
& ( ~ cC48(X156)
| cC2xcomp(esk37_1(X156)) )
& ( ~ cC48(X156)
| rR1(X156,esk37_1(X156)) ) ),
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_44])])])])])])]) ).
fof(c_0_67,plain,
! [X102,X104,X105] :
( ( cC34(X104)
| ~ cC32xcomp(X105)
| ~ rR1(X104,X105) )
& ( ~ cC34(X102)
| cC32xcomp(esk24_1(X102)) )
& ( ~ cC34(X102)
| rR1(X102,esk24_1(X102)) ) ),
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_29])])])])])])]) ).
fof(c_0_68,plain,
! [X44,X46,X47] :
( ( cC20(X46)
| ~ cC2xcomp(X47)
| ~ rR1(X46,X47) )
& ( ~ cC20(X44)
| cC2xcomp(esk10_1(X44)) )
& ( ~ cC20(X44)
| rR1(X44,esk10_1(X44)) ) ),
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_13])])])])])])]) ).
cnf(c_0_69,plain,
( ~ cC6xcomp(X2)
| ~ rR1(X1,X2)
| cC8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_70,plain,
rR1(iV8467,iV8469),
inference(split_conjunct,[status(thm)],[axiom_105]) ).
cnf(c_0_71,plain,
cC6xcomp(iV8469),
inference(split_conjunct,[status(thm)],[axiom_113]) ).
cnf(c_0_72,plain,
( ~ cC2xcomp(X2)
| ~ rR1(X1,X2)
| cC4(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_73,plain,
rR1(iV8467,iV8472),
inference(split_conjunct,[status(thm)],[axiom_110]) ).
cnf(c_0_74,negated_conjecture,
( ~ cC10(iV8467)
| ~ cC14(iV8467)
| ~ cC20(iV8467)
| ~ cC34(iV8467)
| ~ cC48(iV8467)
| ~ cC60(iV8472)
| ~ cC62(iV8467)
| ~ cC80(iV8471)
| ~ cC82(iV8467) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]) ).
cnf(c_0_75,plain,
cC80(iV8471),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).
cnf(c_0_76,plain,
( ~ cTOP(X2)
| ~ rR1(X1,X2)
| cC14(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_77,plain,
rR1(iV8467,iV8470),
inference(split_conjunct,[status(thm)],[axiom_104]) ).
cnf(c_0_78,plain,
cTOP(iV8470),
inference(split_conjunct,[status(thm)],[axiom_116]) ).
cnf(c_0_79,plain,
( ~ cC80(X2)
| ~ rR1(X1,X2)
| cC82(X1) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_80,plain,
rR1(iV8467,iV8471),
inference(split_conjunct,[status(thm)],[axiom_103]) ).
cnf(c_0_81,plain,
( ~ cC60(X2)
| ~ rR1(X1,X2)
| cC62(X1) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_82,plain,
cC60(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).
cnf(c_0_83,plain,
( ~ cC2xcomp(X2)
| ~ rR1(X1,X2)
| cC48(X1) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_84,plain,
( ~ cC32xcomp(X2)
| ~ rR1(X1,X2)
| cC34(X1) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_85,plain,
rR1(iV8467,iV8474),
inference(split_conjunct,[status(thm)],[axiom_106]) ).
cnf(c_0_86,plain,
cC32xcomp(iV8474),
inference(split_conjunct,[status(thm)],[axiom_127]) ).
cnf(c_0_87,plain,
( ~ cC2xcomp(X2)
| ~ rR1(X1,X2)
| cC20(X1) ),
inference(split_conjunct,[status(thm)],[c_0_68]) ).
cnf(c_0_88,plain,
( ~ cC8(X1)
| ~ cC4(X1)
| cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_89,plain,
cC8(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).
cnf(c_0_90,plain,
cC4(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_65])]) ).
cnf(c_0_91,negated_conjecture,
( ~ cC10(iV8467)
| ~ cC14(iV8467)
| ~ cC20(iV8467)
| ~ cC34(iV8467)
| ~ cC48(iV8467)
| ~ cC60(iV8472)
| ~ cC62(iV8467)
| ~ cC82(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]) ).
cnf(c_0_92,plain,
cC14(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78])]) ).
cnf(c_0_93,plain,
cC82(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_75])]) ).
cnf(c_0_94,plain,
cC62(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_73]),c_0_82])]) ).
cnf(c_0_95,plain,
cC48(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_73]),c_0_65])]) ).
cnf(c_0_96,plain,
cC34(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_97,plain,
cC20(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_73]),c_0_65])]) ).
cnf(c_0_98,plain,
cC10(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_90])]) ).
cnf(c_0_99,negated_conjecture,
$false,
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(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_92])]),c_0_93]),c_0_94]),c_0_82]),c_0_95]),c_0_96]),c_0_97]),c_0_98])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS155+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 20 22:58:20 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.46 % Version: 3.5.1
% 0.14/0.46 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.14/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.14/0.46 % Starting new_bool_3 with 600s (2) cores
% 0.14/0.46 % Starting new_bool_1 with 300s (1) cores
% 0.14/0.46 % Starting sh5l with 300s (1) cores
% 0.14/0.46 % G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with pid 4134896 completed with status 0
% 0.14/0.46 % Result found by G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S
% 0.14/0.46 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.14/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.14/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.46 % No SInE strategy applied
% 0.14/0.46 % Search class: FGHNF-FSMM11-SFFFFFNN
% 0.14/0.46 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.14/0.46 % Starting SubtermCWHack with 109s (1) cores
% 0.14/0.46 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.14/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 109s (1) cores
% 0.14/0.46 % Starting new_bool_3 with 109s (1) cores
% 0.14/0.46 % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 4134906 completed with status 0
% 0.14/0.46 % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.14/0.46 % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.14/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.46 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.14/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.14/0.46 % No SInE strategy applied
% 0.14/0.46 % Search class: FGHNF-FSMM11-SFFFFFNN
% 0.14/0.46 % Scheduled 7 strats onto 4 cores with 1200 seconds (1200 total)
% 0.14/0.46 % Starting SubtermCWHack with 109s (1) cores
% 0.14/0.46 % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 121s (1) cores
% 0.14/0.46 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 109s (1) cores
% 0.14/0.46 % Preprocessing time : 0.002 s
% 0.14/0.46 % Presaturation interreduction done
% 0.14/0.46
% 0.14/0.46 % Proof found!
% 0.14/0.46 % SZS status Theorem
% 0.14/0.46 % SZS output start CNFRefutation
% See solution above
% 0.14/0.46 % Parsed axioms : 135
% 0.14/0.46 % Removed by relevancy pruning/SinE : 0
% 0.14/0.46 % Initial clauses : 280
% 0.14/0.46 % Removed in clause preprocessing : 11
% 0.14/0.46 % Initial clauses in saturation : 269
% 0.14/0.46 % Processed clauses : 530
% 0.14/0.46 % ...of these trivial : 24
% 0.14/0.46 % ...subsumed : 0
% 0.14/0.46 % ...remaining for further processing : 505
% 0.14/0.46 % Other redundant clauses eliminated : 0
% 0.14/0.46 % Clauses deleted for lack of memory : 0
% 0.14/0.46 % Backward-subsumed : 2
% 0.14/0.46 % Backward-rewritten : 2
% 0.14/0.46 % Generated clauses : 576
% 0.14/0.46 % ...of the previous two non-redundant : 540
% 0.14/0.46 % ...aggressively subsumed : 0
% 0.14/0.46 % Contextual simplify-reflections : 9
% 0.14/0.46 % Paramodulations : 576
% 0.14/0.46 % Factorizations : 0
% 0.14/0.46 % NegExts : 0
% 0.14/0.46 % Equation resolutions : 0
% 0.14/0.46 % Disequality decompositions : 0
% 0.14/0.46 % Total rewrite steps : 84
% 0.14/0.46 % ...of those cached : 64
% 0.14/0.46 % Propositional unsat checks : 0
% 0.14/0.46 % Propositional check models : 0
% 0.14/0.46 % Propositional check unsatisfiable : 0
% 0.14/0.46 % Propositional clauses : 0
% 0.14/0.46 % Propositional clauses after purity: 0
% 0.14/0.46 % Propositional unsat core size : 0
% 0.14/0.46 % Propositional preprocessing time : 0.000
% 0.14/0.46 % Propositional encoding time : 0.000
% 0.14/0.46 % Propositional solver time : 0.000
% 0.14/0.46 % Success case prop preproc time : 0.000
% 0.14/0.46 % Success case prop encoding time : 0.000
% 0.14/0.46 % Success case prop solver time : 0.000
% 0.14/0.46 % Current number of processed clauses : 232
% 0.14/0.46 % Positive orientable unit clauses : 37
% 0.14/0.46 % Positive unorientable unit clauses: 0
% 0.14/0.46 % Negative unit clauses : 4
% 0.14/0.46 % Non-unit-clauses : 191
% 0.14/0.46 % Current number of unprocessed clauses: 548
% 0.14/0.46 % ...number of literals in the above : 1333
% 0.14/0.46 % Current number of archived formulas : 0
% 0.14/0.46 % Current number of archived clauses : 274
% 0.14/0.46 % Clause-clause subsumption calls (NU) : 22193
% 0.14/0.46 % Rec. Clause-clause subsumption calls : 18369
% 0.14/0.46 % Non-unit clause-clause subsumptions : 11
% 0.14/0.46 % Unit Clause-clause subsumption calls : 738
% 0.14/0.46 % Rewrite failures with RHS unbound : 0
% 0.14/0.46 % BW rewrite match attempts : 2
% 0.14/0.46 % BW rewrite match successes : 2
% 0.14/0.46 % Condensation attempts : 0
% 0.14/0.46 % Condensation successes : 0
% 0.14/0.46 % Termbank termtop insertions : 21957
% 0.14/0.46 % Search garbage collected termcells : 4225
% 0.14/0.46
% 0.14/0.46 % -------------------------------------------------
% 0.14/0.46 % User time : 0.027 s
% 0.14/0.46 % System time : 0.008 s
% 0.14/0.46 % Total time : 0.035 s
% 0.14/0.46 % Maximum resident set size: 4276 pages
% 0.14/0.46
% 0.14/0.46 % -------------------------------------------------
% 0.14/0.46 % User time : 0.086 s
% 0.14/0.46 % System time : 0.018 s
% 0.14/0.46 % Total time : 0.104 s
% 0.14/0.46 % Maximum resident set size: 4864 pages
% 0.14/0.46 % E exiting
%------------------------------------------------------------------------------