TSTP Solution File: KRS147+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS147+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 : Thu Aug 31 05:40:37 EDT 2023
% Result : Theorem 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 125
% Syntax : Number of formulae : 211 ( 45 unt; 97 typ; 0 def)
% Number of atoms : 440 ( 0 equ)
% Maximal formula atoms : 38 ( 3 avg)
% Number of connectives : 581 ( 255 ~; 221 |; 82 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 85 >; 1 *; 0 +; 0 <<)
% Number of predicates : 55 ( 54 usr; 1 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 12 con; 0-1 aty)
% Number of variables : 101 ( 2 sgn; 59 !; 14 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
cowlThing: $i > $o ).
tff(decl_23,type,
cowlNothing: $i > $o ).
tff(decl_24,type,
xsd_string: $i > $o ).
tff(decl_25,type,
xsd_integer: $i > $o ).
tff(decl_26,type,
cC10: $i > $o ).
tff(decl_27,type,
cC4: $i > $o ).
tff(decl_28,type,
cC8: $i > $o ).
tff(decl_29,type,
cC12: $i > $o ).
tff(decl_30,type,
rR1: ( $i * $i ) > $o ).
tff(decl_31,type,
cC14: $i > $o ).
tff(decl_32,type,
cTOP: $i > $o ).
tff(decl_33,type,
cC16: $i > $o ).
tff(decl_34,type,
cC18: $i > $o ).
tff(decl_35,type,
cC20: $i > $o ).
tff(decl_36,type,
cC2: $i > $o ).
tff(decl_37,type,
cC22: $i > $o ).
tff(decl_38,type,
cC24: $i > $o ).
tff(decl_39,type,
cC26: $i > $o ).
tff(decl_40,type,
cC28: $i > $o ).
tff(decl_41,type,
cC30: $i > $o ).
tff(decl_42,type,
cC32: $i > $o ).
tff(decl_43,type,
cC34: $i > $o ).
tff(decl_44,type,
cC36: $i > $o ).
tff(decl_45,type,
cC38: $i > $o ).
tff(decl_46,type,
cC40: $i > $o ).
tff(decl_47,type,
cC42: $i > $o ).
tff(decl_48,type,
cC44: $i > $o ).
tff(decl_49,type,
cC46: $i > $o ).
tff(decl_50,type,
cC48: $i > $o ).
tff(decl_51,type,
cC50: $i > $o ).
tff(decl_52,type,
cC52: $i > $o ).
tff(decl_53,type,
cC54: $i > $o ).
tff(decl_54,type,
cC56: $i > $o ).
tff(decl_55,type,
cC58: $i > $o ).
tff(decl_56,type,
cC6: $i > $o ).
tff(decl_57,type,
cC60: $i > $o ).
tff(decl_58,type,
cC62: $i > $o ).
tff(decl_59,type,
cC64: $i > $o ).
tff(decl_60,type,
cC66: $i > $o ).
tff(decl_61,type,
cC68: $i > $o ).
tff(decl_62,type,
cC70: $i > $o ).
tff(decl_63,type,
cC72: $i > $o ).
tff(decl_64,type,
cC74: $i > $o ).
tff(decl_65,type,
cC76: $i > $o ).
tff(decl_66,type,
cC78: $i > $o ).
tff(decl_67,type,
cC80: $i > $o ).
tff(decl_68,type,
cC82: $i > $o ).
tff(decl_69,type,
cC84: $i > $o ).
tff(decl_70,type,
cC86: $i > $o ).
tff(decl_71,type,
cC88: $i > $o ).
tff(decl_72,type,
cC90: $i > $o ).
tff(decl_73,type,
cC92: $i > $o ).
tff(decl_74,type,
cC94: $i > $o ).
tff(decl_75,type,
cTEST: $i > $o ).
tff(decl_76,type,
iV8467: $i ).
tff(decl_77,type,
iV8471: $i ).
tff(decl_78,type,
iV8473: $i ).
tff(decl_79,type,
iV8468: $i ).
tff(decl_80,type,
iV8469: $i ).
tff(decl_81,type,
iV8475: $i ).
tff(decl_82,type,
iV8472: $i ).
tff(decl_83,type,
iV8474: $i ).
tff(decl_84,type,
iV8470: $i ).
tff(decl_85,type,
iV8476: $i ).
tff(decl_86,type,
esk1_1: $i > $i ).
tff(decl_87,type,
esk2_1: $i > $i ).
tff(decl_88,type,
esk3_1: $i > $i ).
tff(decl_89,type,
esk4_1: $i > $i ).
tff(decl_90,type,
esk5_1: $i > $i ).
tff(decl_91,type,
esk6_1: $i > $i ).
tff(decl_92,type,
esk7_1: $i > $i ).
tff(decl_93,type,
esk8_1: $i > $i ).
tff(decl_94,type,
esk9_1: $i > $i ).
tff(decl_95,type,
esk10_1: $i > $i ).
tff(decl_96,type,
esk11_1: $i > $i ).
tff(decl_97,type,
esk12_1: $i > $i ).
tff(decl_98,type,
esk13_1: $i > $i ).
tff(decl_99,type,
esk14_1: $i > $i ).
tff(decl_100,type,
esk15_1: $i > $i ).
tff(decl_101,type,
esk16_1: $i > $i ).
tff(decl_102,type,
esk17_1: $i > $i ).
tff(decl_103,type,
esk18_1: $i > $i ).
tff(decl_104,type,
esk19_1: $i > $i ).
tff(decl_105,type,
esk20_1: $i > $i ).
tff(decl_106,type,
esk21_1: $i > $i ).
tff(decl_107,type,
esk22_1: $i > $i ).
tff(decl_108,type,
esk23_1: $i > $i ).
tff(decl_109,type,
esk24_1: $i > $i ).
tff(decl_110,type,
esk25_1: $i > $i ).
tff(decl_111,type,
esk26_1: $i > $i ).
tff(decl_112,type,
esk27_1: $i > $i ).
tff(decl_113,type,
esk28_1: $i > $i ).
tff(decl_114,type,
esk29_1: $i > $i ).
tff(decl_115,type,
esk30_1: $i > $i ).
tff(decl_116,type,
esk31_1: $i > $i ).
tff(decl_117,type,
esk32_0: $i ).
tff(decl_118,type,
esk33_0: $i ).
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_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_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_65,axiom,
~ cC6(iV8469),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(axiom_74,axiom,
~ cC2(iV8472),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_74) ).
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_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(axiom_27,axiom,
! [X1] :
( cC58(X1)
<=> ? [X2] :
( rR1(X1,X2)
& cC2(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
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(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,
! [X3] :
( cowlThing(X3)
& ~ cowlNothing(X3) ),
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,
! [X4] :
( ( ~ xsd_string(X4)
| ~ xsd_integer(X4) )
& ( xsd_integer(X4)
| xsd_string(X4) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])]) ).
fof(c_0_37,plain,
! [X5] :
( ( cC4(X5)
| ~ cC10(X5) )
& ( cC8(X5)
| ~ cC10(X5) )
& ( ~ cC4(X5)
| ~ cC8(X5)
| cC10(X5) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])]) ).
fof(c_0_38,plain,
! [X89] :
( ( cC58(X89)
| ~ cC60(X89) )
& ( ~ cC2(X89)
| ~ cC60(X89) )
& ( ~ cC58(X89)
| cC2(X89)
| cC60(X89) ) ),
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,
! [X121] :
( ( ~ cC2(X121)
| ~ cC80(X121) )
& ( ~ cC78(X121)
| ~ cC80(X121) )
& ( cC2(X121)
| cC78(X121)
| cC80(X121) ) ),
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]) ).
fof(c_0_52,plain,
! [X1] :
( cC8(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC6(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_39]) ).
fof(c_0_53,plain,
! [X1] :
( cC4(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC2(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_17]) ).
cnf(c_0_54,plain,
( ~ xsd_string(X1)
| ~ xsd_integer(X1) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_55,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_56,plain,
~ cC78(iV8471),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_57,plain,
( cC2(X1)
| cC78(X1)
| cC80(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
cnf(c_0_58,plain,
~ cC2(iV8471),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
fof(c_0_59,plain,
! [X122,X124,X125] :
( ( rR1(X122,esk27_1(X122))
| ~ cC82(X122) )
& ( cC80(esk27_1(X122))
| ~ cC82(X122) )
& ( ~ rR1(X124,X125)
| ~ cC80(X125)
| cC82(X124) ) ),
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_60,plain,
! [X10,X12,X13] :
( ( rR1(X10,esk2_1(X10))
| ~ cC14(X10) )
& ( cTOP(esk2_1(X10))
| ~ cC14(X10) )
& ( ~ rR1(X12,X13)
| ~ cTOP(X13)
| cC14(X12) ) ),
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_61,plain,
! [X90,X92,X93] :
( ( rR1(X90,esk20_1(X90))
| ~ cC62(X90) )
& ( cC60(esk20_1(X90))
| ~ cC62(X90) )
& ( ~ rR1(X92,X93)
| ~ cC60(X93)
| cC62(X92) ) ),
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_62,plain,
! [X117,X119,X120] :
( ( rR1(X117,esk26_1(X117))
| ~ cC8(X117) )
& ( ~ cC6(esk26_1(X117))
| ~ cC8(X117) )
& ( ~ rR1(X119,X120)
| cC6(X120)
| cC8(X119) ) ),
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_52])])])])])]) ).
fof(c_0_63,plain,
~ cC6(iV8469),
inference(fof_simplification,[status(thm)],[axiom_65]) ).
fof(c_0_64,plain,
! [X53,X55,X56] :
( ( rR1(X53,esk12_1(X53))
| ~ cC4(X53) )
& ( ~ cC2(esk12_1(X53))
| ~ cC4(X53) )
& ( ~ rR1(X55,X56)
| cC2(X56)
| cC4(X55) ) ),
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_53])])])])])]) ).
fof(c_0_65,plain,
~ cC2(iV8472),
inference(fof_simplification,[status(thm)],[axiom_74]) ).
cnf(c_0_66,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_54,c_0_55]),c_0_48]) ).
cnf(c_0_67,plain,
cC80(iV8471),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_57]),c_0_58]) ).
cnf(c_0_68,plain,
( cC82(X1)
| ~ rR1(X1,X2)
| ~ cC80(X2) ),
inference(split_conjunct,[status(thm)],[c_0_59]) ).
cnf(c_0_69,plain,
rR1(iV8467,iV8471),
inference(split_conjunct,[status(thm)],[axiom_55]) ).
cnf(c_0_70,plain,
( cC14(X1)
| ~ rR1(X1,X2)
| ~ cTOP(X2) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_71,plain,
rR1(iV8467,iV8470),
inference(split_conjunct,[status(thm)],[axiom_62]) ).
cnf(c_0_72,plain,
cTOP(iV8470),
inference(split_conjunct,[status(thm)],[axiom_68]) ).
cnf(c_0_73,plain,
( cC62(X1)
| ~ rR1(X1,X2)
| ~ cC60(X2) ),
inference(split_conjunct,[status(thm)],[c_0_61]) ).
cnf(c_0_74,plain,
rR1(iV8467,iV8472),
inference(split_conjunct,[status(thm)],[axiom_60]) ).
cnf(c_0_75,plain,
( cC6(X2)
| cC8(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_62]) ).
cnf(c_0_76,plain,
rR1(iV8467,iV8469),
inference(split_conjunct,[status(thm)],[axiom_58]) ).
cnf(c_0_77,plain,
~ cC6(iV8469),
inference(split_conjunct,[status(thm)],[c_0_63]) ).
cnf(c_0_78,plain,
( cC2(X2)
| cC4(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_79,plain,
~ cC2(iV8472),
inference(split_conjunct,[status(thm)],[c_0_65]) ).
fof(c_0_80,plain,
! [X1] :
( cC20(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC2(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_7]) ).
fof(c_0_81,plain,
! [X1] :
( cC48(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC2(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_22]) ).
cnf(c_0_82,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_66,c_0_67])]) ).
cnf(c_0_83,plain,
cC82(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_67])]) ).
cnf(c_0_84,plain,
cC14(iV8467),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_72])]) ).
cnf(c_0_85,plain,
( cC62(iV8467)
| ~ cC60(iV8472) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_86,plain,
( cC10(X1)
| ~ cC4(X1)
| ~ cC8(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_87,plain,
cC8(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).
cnf(c_0_88,plain,
cC4(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_74]),c_0_79]) ).
fof(c_0_89,plain,
! [X19,X21,X22] :
( ( rR1(X19,esk4_1(X19))
| ~ cC20(X19) )
& ( ~ cC2(esk4_1(X19))
| ~ cC20(X19) )
& ( ~ rR1(X21,X22)
| cC2(X22)
| cC20(X21) ) ),
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_80])])])])])]) ).
fof(c_0_90,plain,
! [X67,X69,X70] :
( ( rR1(X67,esk15_1(X67))
| ~ cC48(X67) )
& ( ~ cC2(esk15_1(X67))
| ~ cC48(X67) )
& ( ~ rR1(X69,X70)
| cC2(X70)
| cC48(X69) ) ),
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_81])])])])])]) ).
fof(c_0_91,plain,
! [X1] :
( cC34(X1)
<=> ? [X2] :
( rR1(X1,X2)
& ~ cC32(X2) ) ),
inference(fof_simplification,[status(thm)],[axiom_14]) ).
cnf(c_0_92,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_82,c_0_83])]),c_0_84])]),c_0_85]) ).
cnf(c_0_93,plain,
cC10(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_94,plain,
( cC2(X2)
| cC20(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_89]) ).
cnf(c_0_95,plain,
( cC2(X2)
| cC48(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_90]) ).
fof(c_0_96,plain,
! [X41,X43,X44] :
( ( rR1(X41,esk9_1(X41))
| ~ cC34(X41) )
& ( ~ cC32(esk9_1(X41))
| ~ cC34(X41) )
& ( ~ rR1(X43,X44)
| cC32(X44)
| cC34(X43) ) ),
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_91])])])])])]) ).
fof(c_0_97,plain,
~ cC32(iV8474),
inference(fof_simplification,[status(thm)],[axiom_80]) ).
cnf(c_0_98,negated_conjecture,
( ~ cC60(iV8472)
| ~ cC48(iV8467)
| ~ cC34(iV8467)
| ~ cC20(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]) ).
cnf(c_0_99,plain,
cC20(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_74]),c_0_79]) ).
cnf(c_0_100,plain,
cC48(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_74]),c_0_79]) ).
cnf(c_0_101,plain,
( cC32(X2)
| cC34(X1)
| ~ rR1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_96]) ).
cnf(c_0_102,plain,
rR1(iV8467,iV8474),
inference(split_conjunct,[status(thm)],[axiom_61]) ).
cnf(c_0_103,plain,
~ cC32(iV8474),
inference(split_conjunct,[status(thm)],[c_0_97]) ).
fof(c_0_104,plain,
! [X81,X83,X84] :
( ( rR1(X81,esk18_1(X81))
| ~ cC58(X81) )
& ( cC2(esk18_1(X81))
| ~ cC58(X81) )
& ( ~ rR1(X83,X84)
| ~ cC2(X84)
| cC58(X83) ) ),
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])])])])])]) ).
cnf(c_0_105,negated_conjecture,
( ~ cC60(iV8472)
| ~ cC34(iV8467) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_99])]),c_0_100])]) ).
cnf(c_0_106,plain,
cC34(iV8467),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_103]) ).
cnf(c_0_107,plain,
( cC58(X1)
| ~ rR1(X1,X2)
| ~ cC2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_104]) ).
cnf(c_0_108,plain,
rR1(iV8472,iV8476),
inference(split_conjunct,[status(thm)],[axiom_76]) ).
cnf(c_0_109,plain,
cC2(iV8476),
inference(split_conjunct,[status(thm)],[axiom_84]) ).
cnf(c_0_110,negated_conjecture,
~ cC60(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]) ).
cnf(c_0_111,plain,
( cC2(X1)
| cC60(X1)
| ~ cC58(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_112,plain,
cC58(iV8472),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109])]) ).
cnf(c_0_113,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_111]),c_0_112])]),c_0_79]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS147+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 01:27:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.63 % Version : CSE_E---1.5
% 0.20/0.63 % Problem : theBenchmark.p
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark.p
% 0.20/0.63 % SZS output start Proof
% See solution above
% 0.20/0.64 % Total time : 0.048000 s
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time : 0.052000 s
%------------------------------------------------------------------------------