TSTP Solution File: KRS258+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : KRS258+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 : n015.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 05:40:58 EDT 2023
% Result : Theorem 0.93s 1.03s
% Output : CNFRefutation 0.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 104
% Syntax : Number of formulae : 130 ( 15 unt; 97 typ; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 90 ( 37 ~; 35 |; 11 &)
% ( 5 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 15 ( 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 : 70 ( 9 sgn; 37 !; 6 ?; 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(completeness,axiom,
! [X9,X10] :
( model(X9,X10)
<~> model(X9,not(X10)) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',completeness) ).
fof(contradiction,axiom,
? [X10] :
! [X9] : ~ model(X9,X10),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',contradiction) ).
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(tautology,axiom,
? [X10] :
! [X9] : model(X9,X10),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).
fof(eqv,axiom,
! [X1,X2] :
( ( ? [X3] : model(X3,X1)
& ! [X4] :
( model(X4,X1)
<=> model(X4,X2) ) )
<=> status(X1,X2,eqv) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',eqv) ).
fof(mighta,axiom,
! [X7,X8] :
( ? [X1,X2] :
( status(X1,X2,X7)
& status(X1,X2,X8) )
<=> mighta(X7,X8) ),
file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mighta) ).
fof(mighta_eqv_thm,conjecture,
mighta(eqv,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_eqv_thm) ).
fof(c_0_7,plain,
! [X9,X10] :
~ ( model(X9,X10)
<=> model(X9,not(X10)) ),
inference(fof_simplification,[status(thm)],[completeness]) ).
fof(c_0_8,plain,
? [X10] :
! [X9] : ~ model(X9,X10),
inference(fof_simplification,[status(thm)],[contradiction]) ).
fof(c_0_9,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_10,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_7])]) ).
fof(c_0_11,plain,
! [X225] : ~ model(X225,esk57_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_8])]) ).
cnf(c_0_12,plain,
( status(X1,X2,thm)
| ~ model(esk10_2(X1,X2),X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( model(X1,X2)
| model(X1,not(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
~ model(X1,esk57_0),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,plain,
( status(X1,not(X2),thm)
| model(esk10_2(X1,not(X2)),X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
fof(c_0_16,plain,
! [X220] : model(X220,esk53_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).
fof(c_0_17,plain,
! [X51,X52,X53,X55,X56,X58,X59] :
( ( ~ model(esk11_2(X51,X52),X51)
| ~ model(esk11_2(X51,X52),X52)
| ~ model(X53,X51)
| status(X51,X52,eqv) )
& ( model(esk11_2(X51,X52),X51)
| model(esk11_2(X51,X52),X52)
| ~ model(X53,X51)
| status(X51,X52,eqv) )
& ( model(esk12_2(X55,X56),X55)
| ~ status(X55,X56,eqv) )
& ( ~ model(X58,X55)
| model(X58,X56)
| ~ status(X55,X56,eqv) )
& ( ~ model(X59,X56)
| model(X59,X55)
| ~ status(X55,X56,eqv) ) ),
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)],[eqv])])])])])]) ).
cnf(c_0_18,plain,
( model(X3,X2)
| ~ status(X1,X2,thm)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,plain,
status(X1,not(esk57_0),thm),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
fof(c_0_20,plain,
! [X173,X174,X175,X176,X177,X178] :
( ( ~ status(X175,X176,X173)
| ~ status(X175,X176,X174)
| mighta(X173,X174) )
& ( status(esk43_2(X177,X178),esk44_2(X177,X178),X177)
| ~ mighta(X177,X178) )
& ( status(esk43_2(X177,X178),esk44_2(X177,X178),X178)
| ~ mighta(X177,X178) ) ),
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)],[mighta])])])])])]) ).
cnf(c_0_21,plain,
model(X1,esk53_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_22,plain,
( status(X1,X2,eqv)
| ~ model(esk11_2(X1,X2),X1)
| ~ model(esk11_2(X1,X2),X2)
| ~ model(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,plain,
( model(X1,not(esk57_0))
| ~ model(X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
( mighta(X3,X4)
| ~ status(X1,X2,X3)
| ~ status(X1,X2,X4) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_25,plain,
status(X1,esk53_0,thm),
inference(spm,[status(thm)],[c_0_12,c_0_21]) ).
cnf(c_0_26,plain,
( status(X1,esk53_0,eqv)
| ~ model(esk11_2(X1,esk53_0),X1)
| ~ model(X2,X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_27,plain,
model(X1,not(esk57_0)),
inference(spm,[status(thm)],[c_0_23,c_0_21]) ).
fof(c_0_28,negated_conjecture,
~ mighta(eqv,thm),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[mighta_eqv_thm])]) ).
cnf(c_0_29,plain,
( mighta(X1,thm)
| ~ status(X2,esk53_0,X1) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
status(not(esk57_0),esk53_0,eqv),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_27])]) ).
cnf(c_0_31,negated_conjecture,
~ mighta(eqv,thm),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_32,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : KRS258+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 01:27:39 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof: theBenchmark
% 0.93/1.03 % Version : CSE_E---1.5
% 0.93/1.03 % Problem : theBenchmark.p
% 0.93/1.03 % Proof found
% 0.93/1.03 % SZS status Theorem for theBenchmark.p
% 0.93/1.03 % SZS output start Proof
% See solution above
% 0.93/1.03 % Total time : 0.426000 s
% 0.93/1.03 % SZS output end Proof
% 0.93/1.03 % Total time : 0.429000 s
%------------------------------------------------------------------------------