TSTP Solution File: NLP143+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NLP143+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n002.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 09:35:21 EDT 2023
% Result : Theorem 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 82
% Syntax : Number of formulae : 126 ( 16 unt; 70 typ; 0 def)
% Number of atoms : 203 ( 15 equ)
% Maximal formula atoms : 31 ( 3 avg)
% Number of connectives : 200 ( 53 ~; 49 |; 81 &)
% ( 1 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 134 ( 64 >; 70 *; 0 +; 0 <<)
% Number of predicates : 61 ( 59 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 107 ( 2 sgn; 62 !; 18 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
furniture: ( $i * $i ) > $o ).
tff(decl_23,type,
instrumentality: ( $i * $i ) > $o ).
tff(decl_24,type,
seat: ( $i * $i ) > $o ).
tff(decl_25,type,
frontseat: ( $i * $i ) > $o ).
tff(decl_26,type,
location: ( $i * $i ) > $o ).
tff(decl_27,type,
object: ( $i * $i ) > $o ).
tff(decl_28,type,
city: ( $i * $i ) > $o ).
tff(decl_29,type,
hollywood_placename: ( $i * $i ) > $o ).
tff(decl_30,type,
placename: ( $i * $i ) > $o ).
tff(decl_31,type,
abstraction: ( $i * $i ) > $o ).
tff(decl_32,type,
unisex: ( $i * $i ) > $o ).
tff(decl_33,type,
general: ( $i * $i ) > $o ).
tff(decl_34,type,
nonhuman: ( $i * $i ) > $o ).
tff(decl_35,type,
thing: ( $i * $i ) > $o ).
tff(decl_36,type,
relation: ( $i * $i ) > $o ).
tff(decl_37,type,
relname: ( $i * $i ) > $o ).
tff(decl_38,type,
way: ( $i * $i ) > $o ).
tff(decl_39,type,
artifact: ( $i * $i ) > $o ).
tff(decl_40,type,
street: ( $i * $i ) > $o ).
tff(decl_41,type,
impartial: ( $i * $i ) > $o ).
tff(decl_42,type,
nonliving: ( $i * $i ) > $o ).
tff(decl_43,type,
entity: ( $i * $i ) > $o ).
tff(decl_44,type,
transport: ( $i * $i ) > $o ).
tff(decl_45,type,
vehicle: ( $i * $i ) > $o ).
tff(decl_46,type,
car: ( $i * $i ) > $o ).
tff(decl_47,type,
chevy: ( $i * $i ) > $o ).
tff(decl_48,type,
barrel: ( $i * $i ) > $o ).
tff(decl_49,type,
event: ( $i * $i ) > $o ).
tff(decl_50,type,
eventuality: ( $i * $i ) > $o ).
tff(decl_51,type,
state: ( $i * $i ) > $o ).
tff(decl_52,type,
nonexistent: ( $i * $i ) > $o ).
tff(decl_53,type,
specific: ( $i * $i ) > $o ).
tff(decl_54,type,
two: ( $i * $i ) > $o ).
tff(decl_55,type,
group: ( $i * $i ) > $o ).
tff(decl_56,type,
set: ( $i * $i ) > $o ).
tff(decl_57,type,
multiple: ( $i * $i ) > $o ).
tff(decl_58,type,
man: ( $i * $i ) > $o ).
tff(decl_59,type,
male: ( $i * $i ) > $o ).
tff(decl_60,type,
human_person: ( $i * $i ) > $o ).
tff(decl_61,type,
animate: ( $i * $i ) > $o ).
tff(decl_62,type,
human: ( $i * $i ) > $o ).
tff(decl_63,type,
organism: ( $i * $i ) > $o ).
tff(decl_64,type,
living: ( $i * $i ) > $o ).
tff(decl_65,type,
existent: ( $i * $i ) > $o ).
tff(decl_66,type,
singleton: ( $i * $i ) > $o ).
tff(decl_67,type,
fellow: ( $i * $i ) > $o ).
tff(decl_68,type,
young: ( $i * $i ) > $o ).
tff(decl_69,type,
old: ( $i * $i ) > $o ).
tff(decl_70,type,
of: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
be: ( $i * $i * $i * $i ) > $o ).
tff(decl_72,type,
member: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
actual_world: $i > $o ).
tff(decl_74,type,
white: ( $i * $i ) > $o ).
tff(decl_75,type,
dirty: ( $i * $i ) > $o ).
tff(decl_76,type,
lonely: ( $i * $i ) > $o ).
tff(decl_77,type,
agent: ( $i * $i * $i ) > $o ).
tff(decl_78,type,
present: ( $i * $i ) > $o ).
tff(decl_79,type,
down: ( $i * $i * $i ) > $o ).
tff(decl_80,type,
in: ( $i * $i * $i ) > $o ).
tff(decl_81,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_82,type,
esk2_2: ( $i * $i ) > $i ).
tff(decl_83,type,
esk3_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_84,type,
esk4_0: $i ).
tff(decl_85,type,
esk5_0: $i ).
tff(decl_86,type,
esk6_0: $i ).
tff(decl_87,type,
esk7_0: $i ).
tff(decl_88,type,
esk8_0: $i ).
tff(decl_89,type,
esk9_0: $i ).
tff(decl_90,type,
esk10_1: $i > $i ).
tff(decl_91,type,
esk11_1: $i > $i ).
fof(co1,conjecture,
~ ? [X1] :
( actual_world(X1)
& ? [X2,X3,X4,X5,X6] :
( of(X1,X2,X3)
& city(X1,X3)
& hollywood_placename(X1,X2)
& placename(X1,X2)
& chevy(X1,X3)
& white(X1,X3)
& dirty(X1,X3)
& old(X1,X3)
& street(X1,X4)
& lonely(X1,X4)
& event(X1,X5)
& agent(X1,X5,X3)
& present(X1,X5)
& barrel(X1,X5)
& down(X1,X5,X4)
& in(X1,X5,X3)
& ! [X7] :
( member(X1,X7,X6)
=> ? [X8,X9] :
( frontseat(X1,X9)
& state(X1,X8)
& be(X1,X8,X7,X9)
& in(X1,X9,X9) ) )
& two(X1,X6)
& group(X1,X6)
& ! [X10] :
( member(X1,X10,X6)
=> ( fellow(X1,X10)
& young(X1,X10) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax60,axiom,
! [X1,X2] :
( two(X1,X2)
<=> ? [X3] :
( member(X1,X3,X2)
& ? [X4] :
( member(X1,X4,X2)
& X4 != X3
& ! [X5] :
( member(X1,X5,X2)
=> ( X5 = X4
| X5 = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(ax59,axiom,
! [X1,X2,X3,X4] :
( be(X1,X2,X3,X4)
=> X3 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(ax3,axiom,
! [X1,X2] :
( frontseat(X1,X2)
=> seat(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(ax2,axiom,
! [X1,X2] :
( seat(X1,X2)
=> furniture(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
! [X1,X2] :
( furniture(X1,X2)
=> instrumentality(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax49,axiom,
! [X1,X2] :
( fellow(X1,X2)
=> man(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(ax21,axiom,
! [X1,X2] :
( instrumentality(X1,X2)
=> artifact(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(ax56,axiom,
! [X1,X2] :
( unisex(X1,X2)
=> ~ male(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(ax37,axiom,
! [X1,X2] :
( man(X1,X2)
=> male(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(ax20,axiom,
! [X1,X2] :
( artifact(X1,X2)
=> object(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(ax16,axiom,
! [X1,X2] :
( object(X1,X2)
=> unisex(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(c_0_12,negated_conjecture,
~ ~ ? [X1] :
( actual_world(X1)
& ? [X2,X3,X4,X5,X6] :
( of(X1,X2,X3)
& city(X1,X3)
& hollywood_placename(X1,X2)
& placename(X1,X2)
& chevy(X1,X3)
& white(X1,X3)
& dirty(X1,X3)
& old(X1,X3)
& street(X1,X4)
& lonely(X1,X4)
& event(X1,X5)
& agent(X1,X5,X3)
& present(X1,X5)
& barrel(X1,X5)
& down(X1,X5,X4)
& in(X1,X5,X3)
& ! [X7] :
( member(X1,X7,X6)
=> ? [X8,X9] :
( frontseat(X1,X9)
& state(X1,X8)
& be(X1,X8,X7,X9)
& in(X1,X9,X9) ) )
& two(X1,X6)
& group(X1,X6)
& ! [X10] :
( member(X1,X10,X6)
=> ( fellow(X1,X10)
& young(X1,X10) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_13,plain,
! [X133,X134,X137,X138,X139,X140,X141] :
( ( member(X133,esk1_2(X133,X134),X134)
| ~ two(X133,X134) )
& ( member(X133,esk2_2(X133,X134),X134)
| ~ two(X133,X134) )
& ( esk2_2(X133,X134) != esk1_2(X133,X134)
| ~ two(X133,X134) )
& ( ~ member(X133,X137,X134)
| X137 = esk2_2(X133,X134)
| X137 = esk1_2(X133,X134)
| ~ two(X133,X134) )
& ( member(X138,esk3_4(X138,X139,X140,X141),X139)
| ~ member(X138,X141,X139)
| X141 = X140
| ~ member(X138,X140,X139)
| two(X138,X139) )
& ( esk3_4(X138,X139,X140,X141) != X141
| ~ member(X138,X141,X139)
| X141 = X140
| ~ member(X138,X140,X139)
| two(X138,X139) )
& ( esk3_4(X138,X139,X140,X141) != X140
| ~ member(X138,X141,X139)
| X141 = X140
| ~ member(X138,X140,X139)
| two(X138,X139) ) ),
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)],[ax60])])])])])]) ).
fof(c_0_14,negated_conjecture,
! [X151,X154] :
( actual_world(esk4_0)
& of(esk4_0,esk5_0,esk6_0)
& city(esk4_0,esk6_0)
& hollywood_placename(esk4_0,esk5_0)
& placename(esk4_0,esk5_0)
& chevy(esk4_0,esk6_0)
& white(esk4_0,esk6_0)
& dirty(esk4_0,esk6_0)
& old(esk4_0,esk6_0)
& street(esk4_0,esk7_0)
& lonely(esk4_0,esk7_0)
& event(esk4_0,esk8_0)
& agent(esk4_0,esk8_0,esk6_0)
& present(esk4_0,esk8_0)
& barrel(esk4_0,esk8_0)
& down(esk4_0,esk8_0,esk7_0)
& in(esk4_0,esk8_0,esk6_0)
& ( frontseat(esk4_0,esk11_1(X151))
| ~ member(esk4_0,X151,esk9_0) )
& ( state(esk4_0,esk10_1(X151))
| ~ member(esk4_0,X151,esk9_0) )
& ( be(esk4_0,esk10_1(X151),X151,esk11_1(X151))
| ~ member(esk4_0,X151,esk9_0) )
& ( in(esk4_0,esk11_1(X151),esk11_1(X151))
| ~ member(esk4_0,X151,esk9_0) )
& two(esk4_0,esk9_0)
& group(esk4_0,esk9_0)
& ( fellow(esk4_0,X154)
| ~ member(esk4_0,X154,esk9_0) )
& ( young(esk4_0,X154)
| ~ member(esk4_0,X154,esk9_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
cnf(c_0_15,plain,
( member(X1,esk1_2(X1,X2),X2)
| ~ two(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_16,negated_conjecture,
two(esk4_0,esk9_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X129,X130,X131,X132] :
( ~ be(X129,X130,X131,X132)
| X131 = X132 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
cnf(c_0_18,negated_conjecture,
( be(esk4_0,esk10_1(X1),X1,esk11_1(X1))
| ~ member(esk4_0,X1,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
member(esk4_0,esk1_2(esk4_0,esk9_0),esk9_0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( frontseat(esk4_0,esk11_1(X1))
| ~ member(esk4_0,X1,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_21,plain,
( X3 = X4
| ~ be(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_22,negated_conjecture,
be(esk4_0,esk10_1(esk1_2(esk4_0,esk9_0)),esk1_2(esk4_0,esk9_0),esk11_1(esk1_2(esk4_0,esk9_0))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_23,plain,
! [X15,X16] :
( ~ frontseat(X15,X16)
| seat(X15,X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])]) ).
cnf(c_0_24,negated_conjecture,
frontseat(esk4_0,esk11_1(esk1_2(esk4_0,esk9_0))),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
esk11_1(esk1_2(esk4_0,esk9_0)) = esk1_2(esk4_0,esk9_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_26,plain,
! [X13,X14] :
( ~ seat(X13,X14)
| furniture(X13,X14) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2])]) ).
cnf(c_0_27,plain,
( seat(X1,X2)
| ~ frontseat(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,negated_conjecture,
frontseat(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_29,plain,
! [X11,X12] :
( ~ furniture(X11,X12)
| instrumentality(X11,X12) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])]) ).
cnf(c_0_30,plain,
( furniture(X1,X2)
| ~ seat(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_31,negated_conjecture,
seat(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_32,plain,
! [X107,X108] :
( ~ fellow(X107,X108)
| man(X107,X108) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
cnf(c_0_33,negated_conjecture,
( fellow(esk4_0,X1)
| ~ member(esk4_0,X1,esk9_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_34,plain,
! [X51,X52] :
( ~ instrumentality(X51,X52)
| artifact(X51,X52) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax21])]) ).
cnf(c_0_35,plain,
( instrumentality(X1,X2)
| ~ furniture(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
furniture(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_37,plain,
! [X1,X2] :
( unisex(X1,X2)
=> ~ male(X1,X2) ),
inference(fof_simplification,[status(thm)],[ax56]) ).
fof(c_0_38,plain,
! [X83,X84] :
( ~ man(X83,X84)
| male(X83,X84) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax37])]) ).
cnf(c_0_39,plain,
( man(X1,X2)
| ~ fellow(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_32]) ).
cnf(c_0_40,negated_conjecture,
fellow(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(spm,[status(thm)],[c_0_33,c_0_19]) ).
fof(c_0_41,plain,
! [X49,X50] :
( ~ artifact(X49,X50)
| object(X49,X50) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax20])]) ).
cnf(c_0_42,plain,
( artifact(X1,X2)
| ~ instrumentality(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
instrumentality(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_44,plain,
! [X121,X122] :
( ~ unisex(X121,X122)
| ~ male(X121,X122) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
cnf(c_0_45,plain,
( male(X1,X2)
| ~ man(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
man(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_47,plain,
! [X41,X42] :
( ~ object(X41,X42)
| unisex(X41,X42) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax16])]) ).
cnf(c_0_48,plain,
( object(X1,X2)
| ~ artifact(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_49,negated_conjecture,
artifact(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_50,plain,
( ~ unisex(X1,X2)
| ~ male(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_51,negated_conjecture,
male(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_52,plain,
( unisex(X1,X2)
| ~ object(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_53,negated_conjecture,
object(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
~ unisex(esk4_0,esk1_2(esk4_0,esk9_0)),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NLP143+1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 11:22:31 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.016000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.020000 s
%------------------------------------------------------------------------------