TSTP Solution File: KRS217+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n019.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 05:40:52 EDT 2023
% Result : Theorem 30.03s 30.08s
% Output : CNFRefutation 30.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 111
% Syntax : Number of formulae : 205 ( 30 unt; 97 typ; 0 def)
% Number of atoms : 282 ( 0 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 287 ( 113 ~; 111 |; 44 &)
% ( 11 <=>; 7 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 119 ( 60 >; 59 *; 0 +; 0 <<)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 90 ( 90 usr; 37 con; 0-2 aty)
% Number of variables : 239 ( 29 sgn; 85 !; 34 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
model: ( $i * $i ) > $o ).
tff(decl_23,type,
unp: $i ).
tff(decl_24,type,
status: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
sap: $i ).
tff(decl_26,type,
esa: $i ).
tff(decl_27,type,
sat: $i ).
tff(decl_28,type,
thm: $i ).
tff(decl_29,type,
eqv: $i ).
tff(decl_30,type,
tac: $i ).
tff(decl_31,type,
wec: $i ).
tff(decl_32,type,
eth: $i ).
tff(decl_33,type,
tau: $i ).
tff(decl_34,type,
wtc: $i ).
tff(decl_35,type,
wth: $i ).
tff(decl_36,type,
cax: $i ).
tff(decl_37,type,
sca: $i ).
tff(decl_38,type,
tca: $i ).
tff(decl_39,type,
wca: $i ).
tff(decl_40,type,
not: $i > $i ).
tff(decl_41,type,
csa: $i ).
tff(decl_42,type,
uns: $i ).
tff(decl_43,type,
noc: $i ).
tff(decl_44,type,
mighta: ( $i * $i ) > $o ).
tff(decl_45,type,
isa: ( $i * $i ) > $o ).
tff(decl_46,type,
nota: ( $i * $i ) > $o ).
tff(decl_47,type,
nevera: ( $i * $i ) > $o ).
tff(decl_48,type,
xora: ( $i * $i ) > $o ).
tff(decl_49,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_50,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_51,type,
esk3_2: ( $i * $i ) > $i ).
tff(decl_52,type,
esk4_2: ( $i * $i ) > $i ).
tff(decl_53,type,
esk5_2: ( $i * $i ) > $i ).
tff(decl_54,type,
esk6_2: ( $i * $i ) > $i ).
tff(decl_55,type,
esk7_2: ( $i * $i ) > $i ).
tff(decl_56,type,
esk8_2: ( $i * $i ) > $i ).
tff(decl_57,type,
esk9_2: ( $i * $i ) > $i ).
tff(decl_58,type,
esk10_2: ( $i * $i ) > $i ).
tff(decl_59,type,
esk11_2: ( $i * $i ) > $i ).
tff(decl_60,type,
esk12_2: ( $i * $i ) > $i ).
tff(decl_61,type,
esk13_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk14_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk15_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk16_2: ( $i * $i ) > $i ).
tff(decl_65,type,
esk17_2: ( $i * $i ) > $i ).
tff(decl_66,type,
esk18_2: ( $i * $i ) > $i ).
tff(decl_67,type,
esk19_2: ( $i * $i ) > $i ).
tff(decl_68,type,
esk20_2: ( $i * $i ) > $i ).
tff(decl_69,type,
esk21_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk22_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk23_2: ( $i * $i ) > $i ).
tff(decl_72,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_73,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_74,type,
esk26_2: ( $i * $i ) > $i ).
tff(decl_75,type,
esk27_2: ( $i * $i ) > $i ).
tff(decl_76,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_77,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_78,type,
esk30_1: $i > $i ).
tff(decl_79,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_80,type,
esk32_2: ( $i * $i ) > $i ).
tff(decl_81,type,
esk33_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk34_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk35_2: ( $i * $i ) > $i ).
tff(decl_84,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_85,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_86,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_87,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_88,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_89,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_90,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_91,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_92,type,
esk44_2: ( $i * $i ) > $i ).
tff(decl_93,type,
esk45_2: ( $i * $i ) > $i ).
tff(decl_94,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_95,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_96,type,
esk48_2: ( $i * $i ) > $i ).
tff(decl_97,type,
esk49_2: ( $i * $i ) > $i ).
tff(decl_98,type,
esk50_2: ( $i * $i ) > $i ).
tff(decl_99,type,
esk51_2: ( $i * $i ) > $i ).
tff(decl_100,type,
esk52_2: ( $i * $i ) > $i ).
tff(decl_101,type,
esk53_0: $i ).
tff(decl_102,type,
esk54_0: $i ).
tff(decl_103,type,
esk55_0: $i ).
tff(decl_104,type,
esk56_0: $i ).
tff(decl_105,type,
esk57_0: $i ).
tff(decl_106,type,
esk58_0: $i ).
tff(decl_107,type,
esk59_0: $i ).
tff(decl_108,type,
esk60_0: $i ).
tff(decl_109,type,
esk61_0: $i ).
tff(decl_110,type,
esk62_0: $i ).
tff(decl_111,type,
esk63_0: $i ).
tff(decl_112,type,
esk64_0: $i ).
tff(decl_113,type,
esk65_0: $i ).
tff(decl_114,type,
esk66_0: $i ).
tff(decl_115,type,
esk67_0: $i ).
tff(decl_116,type,
esk68_0: $i ).
tff(decl_117,type,
esk69_0: $i ).
tff(decl_118,type,
esk70_0: $i ).
fof(nevera,axiom,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> ~ status(X1,X2,X8) )
<=> nevera(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nevera) ).
fof(completeness,axiom,
! [X9,X10] :
( model(X9,X10)
<~> model(X9,not(X10)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',completeness) ).
fof(csa,axiom,
! [X1,X2] :
( ? [X3] :
( model(X3,X1)
& model(X3,not(X2)) )
<=> status(X1,X2,csa) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',csa) ).
fof(thm,axiom,
! [X1,X2] :
( ! [X3] :
( model(X3,X1)
=> model(X3,X2) )
<=> status(X1,X2,thm) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).
fof(nota,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& ~ status(X1,X2,X8) )
<=> nota(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',nota) ).
fof(noc,axiom,
! [X1,X2] :
( ( ? [X3] :
( model(X3,X1)
& model(X3,X2) )
& ? [X4] :
( model(X4,X1)
& model(X4,not(X2)) ) )
<=> status(X1,X2,noc) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',noc) ).
fof(contradiction,axiom,
? [X10] :
! [X9] : ~ model(X9,X10),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',contradiction) ).
fof(mixed_pair,axiom,
? [X1,X2] :
( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( ~ model(X5,X1)
& model(X5,X2) )
& ? [X6] : ~ model(X6,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).
fof(non_thm_spt,axiom,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).
fof(unp,axiom,
! [X1,X2] :
( ( ~ ? [X3] : model(X3,X1)
=> ~ ? [X4] : model(X4,X2) )
<=> status(X1,X2,unp) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',unp) ).
fof(sca,axiom,
! [X1,X2] :
( ( ~ ? [X3] : model(X3,X1)
& ? [X4] : model(X4,X2) )
<=> status(X1,X2,sca) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sca) ).
fof(sap,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
=> ? [X4] : model(X4,X2) )
<=> status(X1,X2,sap) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sap) ).
fof(nota_noc_thm,conjecture,
nota(noc,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_noc_thm) ).
fof(tautology,axiom,
? [X10] :
! [X9] : model(X9,X10),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(c_0_14,plain,
! [X7,X8] :
( ! [X1,X2] :
( status(X1,X2,X7)
=> ~ status(X1,X2,X8) )
<=> nevera(X7,X8) ),
inference(fof_simplification,[status(thm)],[nevera]) ).
fof(c_0_15,plain,
! [X9,X10] :
~ ( model(X9,X10)
<=> model(X9,not(X10)) ),
inference(fof_simplification,[status(thm)],[completeness]) ).
fof(c_0_16,plain,
! [X151,X152,X153,X154,X155] :
( ( ~ model(X153,X151)
| ~ model(X153,not(X152))
| status(X151,X152,csa) )
& ( model(esk38_2(X154,X155),X154)
| ~ status(X154,X155,csa) )
& ( model(esk38_2(X154,X155),not(X155))
| ~ status(X154,X155,csa) ) ),
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)],[csa])])])])])]) ).
fof(c_0_17,plain,
! [X197,X198,X201,X202,X203,X204] :
( ( status(esk49_2(X197,X198),esk50_2(X197,X198),X197)
| nevera(X197,X198) )
& ( status(esk49_2(X197,X198),esk50_2(X197,X198),X198)
| nevera(X197,X198) )
& ( ~ nevera(X201,X202)
| ~ status(X203,X204,X201)
| ~ status(X203,X204,X202) ) ),
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_14])])])])])]) ).
fof(c_0_18,plain,
! [X45,X46,X48,X49,X50] :
( ( model(esk10_2(X45,X46),X45)
| status(X45,X46,thm) )
& ( ~ model(esk10_2(X45,X46),X46)
| status(X45,X46,thm) )
& ( ~ status(X48,X49,thm)
| ~ model(X50,X48)
| model(X50,X49) ) ),
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)],[thm])])])])])]) ).
fof(c_0_19,plain,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& ~ status(X1,X2,X8) )
<=> nota(X7,X8) ),
inference(fof_simplification,[status(thm)],[nota]) ).
fof(c_0_20,plain,
! [X215,X216] :
( ( ~ model(X215,X216)
| ~ model(X215,not(X216)) )
& ( model(X215,X216)
| model(X215,not(X216)) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
cnf(c_0_21,plain,
( model(esk38_2(X1,X2),not(X2))
| ~ status(X1,X2,csa) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( status(esk49_2(X1,X2),esk50_2(X1,X2),X1)
| nevera(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( model(X3,X2)
| ~ status(X1,X2,thm)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,plain,
( status(esk49_2(X1,X2),esk50_2(X1,X2),X2)
| nevera(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( model(esk38_2(X1,X2),X1)
| ~ status(X1,X2,csa) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_26,plain,
! [X189,X190,X191,X192,X193,X194] :
( ( ~ status(X191,X192,X189)
| status(X191,X192,X190)
| nota(X189,X190) )
& ( status(esk47_2(X193,X194),esk48_2(X193,X194),X193)
| ~ nota(X193,X194) )
& ( ~ status(esk47_2(X193,X194),esk48_2(X193,X194),X194)
| ~ nota(X193,X194) ) ),
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_19])])])])])]) ).
fof(c_0_27,plain,
! [X165,X166,X167,X168,X169,X170] :
( ( ~ model(X167,X165)
| ~ model(X167,X166)
| ~ model(X168,X165)
| ~ model(X168,not(X166))
| status(X165,X166,noc) )
& ( model(esk41_2(X169,X170),X169)
| ~ status(X169,X170,noc) )
& ( model(esk41_2(X169,X170),X170)
| ~ status(X169,X170,noc) )
& ( model(esk42_2(X169,X170),X169)
| ~ status(X169,X170,noc) )
& ( model(esk42_2(X169,X170),not(X170))
| ~ status(X169,X170,noc) ) ),
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)],[noc])])])])])]) ).
cnf(c_0_28,plain,
( status(X1,X2,thm)
| ~ model(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( model(esk10_2(X1,X2),X1)
| status(X1,X2,thm) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( ~ model(X1,X2)
| ~ model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,plain,
( nevera(csa,X1)
| model(esk38_2(esk49_2(csa,X1),esk50_2(csa,X1)),not(esk50_2(csa,X1))) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_32,plain,
( nevera(X1,thm)
| model(X2,esk50_2(X1,thm))
| ~ model(X2,esk49_2(X1,thm)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_33,plain,
( nevera(csa,X1)
| model(esk38_2(esk49_2(csa,X1),esk50_2(csa,X1)),esk49_2(csa,X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
fof(c_0_34,plain,
? [X10] :
! [X9] : ~ model(X9,X10),
inference(fof_simplification,[status(thm)],[contradiction]) ).
fof(c_0_35,plain,
? [X1,X2] :
( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
=> model(X4,X2) )
& ? [X5] :
( ~ model(X5,X1)
& model(X5,X2) )
& ? [X6] : ~ model(X6,X2) ),
inference(fof_simplification,[status(thm)],[mixed_pair]) ).
cnf(c_0_36,plain,
( status(X1,X2,X4)
| nota(X3,X4)
| ~ status(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_37,plain,
( model(esk42_2(X1,X2),not(X2))
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_38,plain,
( model(esk42_2(X1,X2),X1)
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_39,plain,
( ~ nevera(X1,X2)
| ~ status(X3,X4,X1)
| ~ status(X3,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_40,plain,
status(X1,X1,thm),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_41,plain,
( nevera(csa,X1)
| ~ model(esk38_2(esk49_2(csa,X1),esk50_2(csa,X1)),esk50_2(csa,X1)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_42,plain,
( nevera(csa,thm)
| model(esk38_2(esk49_2(csa,thm),esk50_2(csa,thm)),esk50_2(csa,thm)) ),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
fof(c_0_43,plain,
! [X225] : ~ model(X225,esk57_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_34])]) ).
cnf(c_0_44,plain,
( model(X1,X2)
| model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_45,plain,
? [X3,X1,X2] :
( model(X3,X1)
& ~ model(X3,X2)
& ? [X4] : model(X4,X2) ),
inference(fof_simplification,[status(thm)],[non_thm_spt]) ).
fof(c_0_46,plain,
! [X11,X12,X13,X15,X16,X18] :
( ( ~ model(X13,X11)
| status(X11,X12,unp) )
& ( model(esk1_2(X11,X12),X12)
| status(X11,X12,unp) )
& ( ~ status(X15,X16,unp)
| model(esk2_2(X15,X16),X15)
| ~ model(X18,X16) ) ),
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)],[unp])])])])])]) ).
fof(c_0_47,plain,
! [X233] :
( model(esk64_0,esk62_0)
& ( ~ model(X233,esk62_0)
| model(X233,esk63_0) )
& ~ model(esk65_0,esk62_0)
& model(esk65_0,esk63_0)
& ~ model(esk66_0,esk63_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).
fof(c_0_48,plain,
! [X125,X126,X128,X129,X130,X131] :
( ( model(esk31_2(X125,X126),X125)
| ~ model(X128,X126)
| status(X125,X126,sca) )
& ( ~ model(X131,X129)
| ~ status(X129,X130,sca) )
& ( model(esk32_2(X129,X130),X130)
| ~ status(X129,X130,sca) ) ),
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)],[sca])])])])])]) ).
cnf(c_0_49,plain,
( model(esk41_2(X1,X2),X1)
| ~ status(X1,X2,noc) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_50,plain,
( nevera(X1,X2)
| nota(X2,X3)
| status(esk49_2(X1,X2),esk50_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_36,c_0_24]) ).
cnf(c_0_51,plain,
( status(X2,X3,csa)
| ~ model(X1,X2)
| ~ model(X1,not(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_52,plain,
( nevera(noc,X1)
| model(esk42_2(esk49_2(noc,X1),esk50_2(noc,X1)),not(esk50_2(noc,X1))) ),
inference(spm,[status(thm)],[c_0_37,c_0_22]) ).
cnf(c_0_53,plain,
( nevera(noc,X1)
| model(esk42_2(esk49_2(noc,X1),esk50_2(noc,X1)),esk49_2(noc,X1)) ),
inference(spm,[status(thm)],[c_0_38,c_0_22]) ).
cnf(c_0_54,plain,
( ~ nevera(X1,thm)
| ~ status(X2,X2,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_55,plain,
nevera(csa,thm),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_56,plain,
~ model(X1,esk57_0),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_57,plain,
( status(X1,not(X2),thm)
| model(esk10_2(X1,not(X2)),X2) ),
inference(spm,[status(thm)],[c_0_28,c_0_44]) ).
fof(c_0_58,plain,
( model(esk67_0,esk68_0)
& ~ model(esk67_0,esk69_0)
& model(esk70_0,esk69_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_45])]) ).
cnf(c_0_59,plain,
( status(X2,X3,unp)
| ~ model(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_60,plain,
model(esk64_0,esk62_0),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_61,plain,
( model(esk2_2(X1,X2),X1)
| ~ status(X1,X2,unp)
| ~ model(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_62,plain,
( model(esk32_2(X1,X2),X2)
| ~ status(X1,X2,sca) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_63,plain,
( ~ model(X1,X2)
| ~ status(X2,X3,sca) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
fof(c_0_64,plain,
! [X19,X20,X22,X23,X24,X25] :
( ( model(esk3_2(X19,X20),X19)
| status(X19,X20,sap) )
& ( ~ model(X22,X20)
| status(X19,X20,sap) )
& ( ~ status(X23,X24,sap)
| ~ model(X25,X23)
| model(esk4_2(X23,X24),X24) ) ),
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)],[sap])])])])])]) ).
cnf(c_0_65,plain,
( nevera(noc,X1)
| model(esk41_2(esk49_2(noc,X1),esk50_2(noc,X1)),esk49_2(noc,X1)) ),
inference(spm,[status(thm)],[c_0_49,c_0_22]) ).
cnf(c_0_66,plain,
( nevera(X1,X2)
| nota(X2,X3)
| ~ nevera(X4,X3)
| ~ status(esk49_2(X1,X2),esk50_2(X1,X2),X4) ),
inference(spm,[status(thm)],[c_0_39,c_0_50]) ).
cnf(c_0_67,plain,
( nevera(noc,X1)
| status(X2,esk50_2(noc,X1),csa)
| ~ model(esk42_2(esk49_2(noc,X1),esk50_2(noc,X1)),X2) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_68,plain,
( nevera(noc,thm)
| model(esk42_2(esk49_2(noc,thm),esk50_2(noc,thm)),esk50_2(noc,thm)) ),
inference(spm,[status(thm)],[c_0_32,c_0_53]) ).
cnf(c_0_69,plain,
~ status(X1,X1,csa),
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
fof(c_0_70,negated_conjecture,
~ nota(noc,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[nota_noc_thm])]) ).
cnf(c_0_71,plain,
status(X1,not(esk57_0),thm),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
fof(c_0_72,plain,
! [X220] : model(X220,esk53_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).
cnf(c_0_73,plain,
( model(esk31_2(X1,X2),X1)
| status(X1,X2,sca)
| ~ model(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_74,plain,
model(esk70_0,esk69_0),
inference(split_conjunct,[status(thm)],[c_0_58]) ).
cnf(c_0_75,plain,
status(esk62_0,X1,unp),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_76,plain,
( nevera(X1,unp)
| model(esk2_2(esk49_2(X1,unp),esk50_2(X1,unp)),esk49_2(X1,unp))
| ~ model(X2,esk50_2(X1,unp)) ),
inference(spm,[status(thm)],[c_0_61,c_0_24]) ).
cnf(c_0_77,plain,
( nevera(sca,X1)
| model(esk32_2(esk49_2(sca,X1),esk50_2(sca,X1)),esk50_2(sca,X1)) ),
inference(spm,[status(thm)],[c_0_62,c_0_22]) ).
cnf(c_0_78,plain,
( nevera(sca,X1)
| ~ model(X2,esk49_2(sca,X1)) ),
inference(spm,[status(thm)],[c_0_63,c_0_22]) ).
cnf(c_0_79,plain,
( status(X3,X2,sap)
| ~ model(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_64]) ).
cnf(c_0_80,plain,
model(esk65_0,esk63_0),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_81,plain,
( nevera(X1,X2)
| ~ nevera(X3,X1)
| ~ status(esk49_2(X1,X2),esk50_2(X1,X2),X3) ),
inference(spm,[status(thm)],[c_0_39,c_0_22]) ).
cnf(c_0_82,plain,
( nevera(noc,X1)
| status(esk49_2(noc,X1),X2,unp) ),
inference(spm,[status(thm)],[c_0_59,c_0_65]) ).
cnf(c_0_83,plain,
( nevera(X1,X2)
| nota(X2,X3)
| ~ nevera(X2,X3) ),
inference(spm,[status(thm)],[c_0_66,c_0_24]) ).
cnf(c_0_84,plain,
nevera(noc,thm),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).
cnf(c_0_85,negated_conjecture,
~ nota(noc,thm),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_86,plain,
( status(X2,X3,noc)
| ~ model(X1,X2)
| ~ model(X1,X3)
| ~ model(X4,X2)
| ~ model(X4,not(X3)) ),
inference(split_conjunct,[status(thm)],[c_0_27]) ).
cnf(c_0_87,plain,
( model(X1,not(esk57_0))
| ~ model(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_71]) ).
cnf(c_0_88,plain,
model(X1,esk53_0),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_89,plain,
( model(X1,esk63_0)
| ~ model(X1,esk62_0) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_90,plain,
( status(X1,esk69_0,sca)
| model(esk31_2(X1,esk69_0),X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_91,plain,
( ~ nevera(X1,unp)
| ~ status(esk62_0,X2,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_75]) ).
cnf(c_0_92,plain,
nevera(sca,unp),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_93,plain,
status(X1,esk63_0,sap),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_94,plain,
( nevera(noc,X1)
| ~ nevera(unp,noc) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_95,plain,
nevera(X1,noc),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_96,plain,
( status(X1,X2,noc)
| model(X3,X2)
| ~ model(X3,X1)
| ~ model(X4,X2)
| ~ model(X4,X1) ),
inference(spm,[status(thm)],[c_0_86,c_0_44]) ).
cnf(c_0_97,plain,
model(X1,not(esk57_0)),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_98,plain,
( status(esk62_0,esk69_0,sca)
| model(esk31_2(esk62_0,esk69_0),esk63_0) ),
inference(spm,[status(thm)],[c_0_89,c_0_90]) ).
cnf(c_0_99,plain,
~ status(esk62_0,X1,sca),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_100,plain,
( ~ nevera(X1,sap)
| ~ status(X2,esk63_0,X1) ),
inference(spm,[status(thm)],[c_0_39,c_0_93]) ).
cnf(c_0_101,plain,
nevera(noc,X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_94,c_0_95])]) ).
cnf(c_0_102,plain,
( status(not(esk57_0),X1,noc)
| model(X2,X1)
| ~ model(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_97])]) ).
cnf(c_0_103,plain,
model(esk31_2(esk62_0,esk69_0),esk63_0),
inference(sr,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_104,plain,
~ status(X1,esk63_0,noc),
inference(spm,[status(thm)],[c_0_100,c_0_101]) ).
cnf(c_0_105,plain,
~ model(esk66_0,esk63_0),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_106,plain,
model(X1,esk63_0),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_104]) ).
cnf(c_0_107,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS217+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 01:36:28 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof: theBenchmark
% 30.03/30.08 % Version : CSE_E---1.5
% 30.03/30.08 % Problem : theBenchmark.p
% 30.03/30.08 % Proof found
% 30.03/30.08 % SZS status Theorem for theBenchmark.p
% 30.03/30.08 % SZS output start Proof
% See solution above
% 30.03/30.10 % Total time : 29.489000 s
% 30.03/30.10 % SZS output end Proof
% 30.03/30.10 % Total time : 29.495000 s
%------------------------------------------------------------------------------