%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS155+1 : TPTP v9.2.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/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 04:36:44 PM UTC 2026
% Result : Theorem 1.33s 1.74s
% Output : CNFRefutation 1.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 28
% Syntax : Number of formulae : 99 ( 41 unt; 0 def)
% Number of atoms : 402 ( 0 equ)
% Maximal formula atoms : 38 ( 4 avg)
% Number of connectives : 522 ( 219 ~; 212 |; 75 &)
% ( 16 <=>; 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 : 89 ( 2 sgn 52 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC20(iV8467)
& cC4(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& cC62(iV8467)
& cC14(iV8467)
& cC34(iV8467)
& cC10(iV8467)
& cowlThing(iV8467)
& cC48(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC58(iV8472)
& cC60(iV8472)
& cowlThing(iV8472) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(axiom_0,axiom,
! [X1] :
( cowlThing(X1)
& ~ cowlNothing(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)
<=> ( cC4(X1)
& cC8(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(axiom_61,axiom,
! [X1] :
( cC60(X1)
<=> ( cC2xcomp(X1)
& cC58(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).
fof(axiom_57,axiom,
! [X1] :
( cC58(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC2(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).
fof(axiom_80,axiom,
! [X1] :
( cC80(X1)
<=> ( cC78xcomp(X1)
& cC2xcomp(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] :
( rR1(X1,X2)
& cC6xcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).
fof(axiom_35,axiom,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC2xcomp(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] :
( rR1(X1,X2)
& cTOP(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(axiom_82,axiom,
! [X1] :
( cC82(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC80(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).
fof(axiom_62,axiom,
! [X1] :
( cC62(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC60(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] :
( rR1(X1,X2)
& cC2xcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).
fof(axiom_29,axiom,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC32xcomp(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).
fof(axiom_13,axiom,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC2xcomp(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,
~ ( ! [X1] :
( cowlThing(X1)
& ~ cowlNothing(X1) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cC20(iV8467)
& cC4(iV8467)
& cC8(iV8467)
& cC82(iV8467)
& cC62(iV8467)
& cC14(iV8467)
& cC34(iV8467)
& cC10(iV8467)
& cowlThing(iV8467)
& cC48(iV8467)
& cowlThing(iV8471)
& cC80(iV8471)
& cC58(iV8472)
& cC60(iV8472)
& cowlThing(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(esk81_0)
| xsd_integer(esk81_0)
| ~ cowlThing(esk80_0)
| cowlNothing(esk80_0)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472) )
& ( xsd_string(esk81_0)
| ~ xsd_integer(esk81_0)
| ~ cowlThing(esk80_0)
| cowlNothing(esk80_0)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(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,
! [X185] :
( cowlThing(X185)
& ~ cowlNothing(X185) ),
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]) ).
cnf(c_0_33,negated_conjecture,
( xsd_integer(esk81_0)
| cowlNothing(esk80_0)
| ~ xsd_string(esk81_0)
| ~ cowlThing(esk80_0)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,plain,
cowlThing(X1),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
fof(c_0_35,plain,
! [X186] :
( ( ~ xsd_string(X186)
| ~ xsd_integer(X186) )
& ( xsd_integer(X186)
| xsd_string(X186) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_36,plain,
! [X187] :
( ( cC4(X187)
| ~ cC10(X187) )
& ( cC8(X187)
| ~ cC10(X187) )
& ( ~ cC4(X187)
| ~ cC8(X187)
| cC10(X187) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
fof(c_0_37,plain,
! [X399] :
( ( cC2xcomp(X399)
| ~ cC60(X399) )
& ( cC58(X399)
| ~ cC60(X399) )
& ( ~ cC2xcomp(X399)
| ~ cC58(X399)
| cC60(X399) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])]) ).
cnf(c_0_38,negated_conjecture,
( xsd_string(esk81_0)
| cowlNothing(esk80_0)
| ~ xsd_integer(esk81_0)
| ~ cowlThing(esk80_0)
| ~ cC20(iV8467)
| ~ cC4(iV8467)
| ~ cC8(iV8467)
| ~ cC82(iV8467)
| ~ cC62(iV8467)
| ~ cC14(iV8467)
| ~ cC34(iV8467)
| ~ cC10(iV8467)
| ~ cowlThing(iV8467)
| ~ cC48(iV8467)
| ~ cowlThing(iV8471)
| ~ cC80(iV8471)
| ~ cC58(iV8472)
| ~ cC60(iV8472)
| ~ cowlThing(iV8472) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
fof(c_0_39,plain,
! [X383,X385,X386] :
( ( rR1(X383,esk48_1(X383))
| ~ cC58(X383) )
& ( cC2(esk48_1(X383))
| ~ cC58(X383) )
& ( ~ rR1(X385,X386)
| ~ cC2(X386)
| cC58(X385) ) ),
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_57])])])])])]) ).
cnf(c_0_40,negated_conjecture,
( cowlNothing(esk80_0)
| xsd_integer(esk81_0)
| ~ xsd_string(esk81_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_33,c_0_34]),c_0_34]),c_0_34]),c_0_34])]) ).
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_35]) ).
cnf(c_0_43,plain,
( cC4(X1)
| ~ cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_44,plain,
( cC8(X1)
| ~ cC10(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_45,plain,
( cC58(X1)
| ~ cC60(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_46,negated_conjecture,
( cowlNothing(esk80_0)
| xsd_string(esk81_0)
| ~ xsd_integer(esk81_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_38,c_0_34]),c_0_34]),c_0_34]),c_0_34])]) ).
fof(c_0_47,plain,
! [X463] :
( ( cC78xcomp(X463)
| ~ cC80(X463) )
& ( cC2xcomp(X463)
| ~ cC80(X463) )
& ( ~ cC78xcomp(X463)
| ~ cC2xcomp(X463)
| cC80(X463) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_80])])]) ).
cnf(c_0_48,plain,
( cC58(X1)
| ~ rR1(X1,X2)
| ~ cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_49,plain,
rR1(iV8472,iV8476),
inference(split_conjunct,[status(thm)],[axiom_124]) ).
cnf(c_0_50,plain,
cC2(iV8476),
inference(split_conjunct,[status(thm)],[axiom_132]) ).
fof(c_0_51,plain,
! [X459,X461,X462] :
( ( rR1(X459,esk66_1(X459))
| ~ cC8(X459) )
& ( cC6xcomp(esk66_1(X459))
| ~ cC8(X459) )
& ( ~ rR1(X461,X462)
| ~ cC6xcomp(X462)
| cC8(X461) ) ),
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_79])])])])])]) ).
fof(c_0_52,plain,
! [X307,X309,X310] :
( ( rR1(X307,esk30_1(X307))
| ~ cC4(X307) )
& ( cC2xcomp(esk30_1(X307))
| ~ cC4(X307) )
& ( ~ rR1(X309,X310)
| ~ cC2xcomp(X310)
| cC4(X309) ) ),
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_35])])])])])]) ).
cnf(c_0_53,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_54,negated_conjecture,
( xsd_integer(esk81_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]) ).
cnf(c_0_55,negated_conjecture,
( xsd_string(esk81_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_46,c_0_41]),c_0_42]),c_0_43]),c_0_44]),c_0_45]) ).
cnf(c_0_56,plain,
( cC80(X1)
| ~ cC78xcomp(X1)
| ~ cC2xcomp(X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_57,plain,
cC78xcomp(iV8471),
inference(split_conjunct,[status(thm)],[axiom_118]) ).
cnf(c_0_58,plain,
cC2xcomp(iV8471),
inference(split_conjunct,[status(thm)],[axiom_119]) ).
fof(c_0_59,plain,
! [X196,X198,X199] :
( ( rR1(X196,esk3_1(X196))
| ~ cC14(X196) )
& ( cTOP(esk3_1(X196))
| ~ cC14(X196) )
& ( ~ rR1(X198,X199)
| ~ cTOP(X199)
| cC14(X198) ) ),
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_5])])])])])]) ).
fof(c_0_60,plain,
! [X468,X470,X471] :
( ( rR1(X468,esk68_1(X468))
| ~ cC82(X468) )
& ( cC80(esk68_1(X468))
| ~ cC82(X468) )
& ( ~ rR1(X470,X471)
| ~ cC80(X471)
| cC82(X470) ) ),
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_82])])])])])]) ).
fof(c_0_61,plain,
! [X400,X402,X403] :
( ( rR1(X400,esk52_1(X400))
| ~ cC62(X400) )
& ( cC60(esk52_1(X400))
| ~ cC62(X400) )
& ( ~ rR1(X402,X403)
| ~ cC60(X403)
| cC62(X402) ) ),
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_62])])])])])]) ).
cnf(c_0_62,plain,
( cC60(X1)
| ~ cC2xcomp(X1)
| ~ cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_63,plain,
cC58(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).
cnf(c_0_64,plain,
cC2xcomp(iV8472),
inference(split_conjunct,[status(thm)],[axiom_122]) ).
fof(c_0_65,plain,
! [X337,X339,X340] :
( ( rR1(X337,esk37_1(X337))
| ~ cC48(X337) )
& ( cC2xcomp(esk37_1(X337))
| ~ cC48(X337) )
& ( ~ rR1(X339,X340)
| ~ cC2xcomp(X340)
| cC48(X339) ) ),
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_44])])])])])]) ).
fof(c_0_66,plain,
! [X283,X285,X286] :
( ( rR1(X283,esk24_1(X283))
| ~ cC34(X283) )
& ( cC32xcomp(esk24_1(X283))
| ~ cC34(X283) )
& ( ~ rR1(X285,X286)
| ~ cC32xcomp(X286)
| cC34(X285) ) ),
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_29])])])])])]) ).
fof(c_0_67,plain,
! [X225,X227,X228] :
( ( rR1(X225,esk10_1(X225))
| ~ cC20(X225) )
& ( cC2xcomp(esk10_1(X225))
| ~ cC20(X225) )
& ( ~ rR1(X227,X228)
| ~ cC2xcomp(X228)
| cC20(X227) ) ),
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_13])])])])])]) ).
cnf(c_0_68,plain,
( cC8(X1)
| ~ rR1(X1,X2)
| ~ cC6xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_69,plain,
rR1(iV8467,iV8469),
inference(split_conjunct,[status(thm)],[axiom_105]) ).
cnf(c_0_70,plain,
cC6xcomp(iV8469),
inference(split_conjunct,[status(thm)],[axiom_113]) ).
cnf(c_0_71,plain,
( cC4(X1)
| ~ rR1(X1,X2)
| ~ cC2xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_72,plain,
rR1(iV8467,iV8472),
inference(split_conjunct,[status(thm)],[axiom_110]) ).
cnf(c_0_73,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_53,c_0_54]),c_0_55]) ).
cnf(c_0_74,plain,
cC80(iV8471),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58])]) ).
cnf(c_0_75,plain,
( cC14(X1)
| ~ rR1(X1,X2)
| ~ cTOP(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_76,plain,
rR1(iV8467,iV8470),
inference(split_conjunct,[status(thm)],[axiom_104]) ).
cnf(c_0_77,plain,
cTOP(iV8470),
inference(split_conjunct,[status(thm)],[axiom_116]) ).
cnf(c_0_78,plain,
( cC82(X1)
| ~ rR1(X1,X2)
| ~ cC80(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_79,plain,
rR1(iV8467,iV8471),
inference(split_conjunct,[status(thm)],[axiom_103]) ).
cnf(c_0_80,plain,
( cC62(X1)
| ~ rR1(X1,X2)
| ~ cC60(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_81,plain,
cC60(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
cnf(c_0_82,plain,
( cC48(X1)
| ~ rR1(X1,X2)
| ~ cC2xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
cnf(c_0_83,plain,
( cC34(X1)
| ~ rR1(X1,X2)
| ~ cC32xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_84,plain,
rR1(iV8467,iV8474),
inference(split_conjunct,[status(thm)],[axiom_106]) ).
cnf(c_0_85,plain,
cC32xcomp(iV8474),
inference(split_conjunct,[status(thm)],[axiom_127]) ).
cnf(c_0_86,plain,
( cC20(X1)
| ~ rR1(X1,X2)
| ~ cC2xcomp(X2) ),
inference(split_conjunct,[status(thm)],[c_0_67]) ).
cnf(c_0_87,plain,
( cC10(X1)
| ~ cC4(X1)
| ~ cC8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_88,plain,
cC8(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_89,plain,
cC4(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_64])]) ).
cnf(c_0_90,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_73,c_0_74])]) ).
cnf(c_0_91,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_92,plain,
cC82(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_74])]) ).
cnf(c_0_93,plain,
cC62(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_72]),c_0_81])]) ).
cnf(c_0_94,plain,
cC48(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_72]),c_0_64])]) ).
cnf(c_0_95,plain,
cC34(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85])]) ).
cnf(c_0_96,plain,
cC20(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_72]),c_0_64])]) ).
cnf(c_0_97,plain,
cC10(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]) ).
cnf(c_0_98,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_90,c_0_91])]),c_0_92]),c_0_93]),c_0_81]),c_0_94]),c_0_95]),c_0_96]),c_0_97])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS155+1 : TPTP v9.2.1. Released v3.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33 % Computer : n001.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Mon May 4 20:39:18 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.33/1.74 % Version : CSE_E---1.7
% 1.33/1.74 % Problem : theBenchmark.p
% 1.33/1.74 % SZS status Theorem for theBenchmark.p
% 1.33/1.74 % SZS output start CNFRefutation
% See solution above
% 1.33/1.74 % Total time : 1.370s
%------------------------------------------------------------------------------