%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NLP145+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n026.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 04:51:19 PM UTC 2026
% Result : Theorem 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 56 ( 16 unt; 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 : 35 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 1 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 7 con; 0-4 aty)
% Number of variables : 109 ( 2 sgn 62 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ? [X1] :
( actual_world(X1)
& ? [X2,X3,X4,X5,X6,X7] :
( of(X1,X3,X2)
& city(X1,X2)
& hollywood_placename(X1,X3)
& placename(X1,X3)
& chevy(X1,X4)
& white(X1,X4)
& dirty(X1,X4)
& old(X1,X4)
& street(X1,X5)
& lonely(X1,X5)
& event(X1,X6)
& agent(X1,X6,X4)
& present(X1,X6)
& barrel(X1,X6)
& down(X1,X6,X5)
& in(X1,X6,X2)
& ! [X8] :
( member(X1,X8,X7)
=> ? [X9,X10] :
( frontseat(X1,X10)
& state(X1,X9)
& be(X1,X9,X8,X10)
& in(X1,X10,X10) ) )
& two(X1,X7)
& group(X1,X7)
& ! [X11] :
( member(X1,X11,X7)
=> ( fellow(X1,X11)
& young(X1,X11) ) ) ) ),
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,X7] :
( of(X1,X3,X2)
& city(X1,X2)
& hollywood_placename(X1,X3)
& placename(X1,X3)
& chevy(X1,X4)
& white(X1,X4)
& dirty(X1,X4)
& old(X1,X4)
& street(X1,X5)
& lonely(X1,X5)
& event(X1,X6)
& agent(X1,X6,X4)
& present(X1,X6)
& barrel(X1,X6)
& down(X1,X6,X5)
& in(X1,X6,X2)
& ! [X8] :
( member(X1,X8,X7)
=> ? [X9,X10] :
( frontseat(X1,X10)
& state(X1,X9)
& be(X1,X9,X8,X10)
& in(X1,X10,X10) ) )
& two(X1,X7)
& group(X1,X7)
& ! [X11] :
( member(X1,X11,X7)
=> ( fellow(X1,X11)
& young(X1,X11) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_13,plain,
! [X274,X275,X278,X279,X280,X281,X282] :
( ( member(X274,esk1_2(X274,X275),X275)
| ~ two(X274,X275) )
& ( member(X274,esk2_2(X274,X275),X275)
| ~ two(X274,X275) )
& ( esk2_2(X274,X275) != esk1_2(X274,X275)
| ~ two(X274,X275) )
& ( ~ member(X274,X278,X275)
| X278 = esk2_2(X274,X275)
| X278 = esk1_2(X274,X275)
| ~ two(X274,X275) )
& ( member(X279,esk3_4(X279,X280,X281,X282),X280)
| ~ member(X279,X282,X280)
| X282 = X281
| ~ member(X279,X281,X280)
| two(X279,X280) )
& ( esk3_4(X279,X280,X281,X282) != X282
| ~ member(X279,X282,X280)
| X282 = X281
| ~ member(X279,X281,X280)
| two(X279,X280) )
& ( esk3_4(X279,X280,X281,X282) != X281
| ~ member(X279,X282,X280)
| X282 = X281
| ~ member(X279,X281,X280)
| two(X279,X280) ) ),
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,
! [X293,X296] :
( actual_world(esk4_0)
& of(esk4_0,esk6_0,esk5_0)
& city(esk4_0,esk5_0)
& hollywood_placename(esk4_0,esk6_0)
& placename(esk4_0,esk6_0)
& chevy(esk4_0,esk7_0)
& white(esk4_0,esk7_0)
& dirty(esk4_0,esk7_0)
& old(esk4_0,esk7_0)
& street(esk4_0,esk8_0)
& lonely(esk4_0,esk8_0)
& event(esk4_0,esk9_0)
& agent(esk4_0,esk9_0,esk7_0)
& present(esk4_0,esk9_0)
& barrel(esk4_0,esk9_0)
& down(esk4_0,esk9_0,esk8_0)
& in(esk4_0,esk9_0,esk5_0)
& ( frontseat(esk4_0,esk12_1(X293))
| ~ member(esk4_0,X293,esk10_0) )
& ( state(esk4_0,esk11_1(X293))
| ~ member(esk4_0,X293,esk10_0) )
& ( be(esk4_0,esk11_1(X293),X293,esk12_1(X293))
| ~ member(esk4_0,X293,esk10_0) )
& ( in(esk4_0,esk12_1(X293),esk12_1(X293))
| ~ member(esk4_0,X293,esk10_0) )
& two(esk4_0,esk10_0)
& group(esk4_0,esk10_0)
& ( fellow(esk4_0,X296)
| ~ member(esk4_0,X296,esk10_0) )
& ( young(esk4_0,X296)
| ~ member(esk4_0,X296,esk10_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,esk10_0),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_17,plain,
! [X270,X271,X272,X273] :
( ~ be(X270,X271,X272,X273)
| X272 = X273 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax59])]) ).
cnf(c_0_18,negated_conjecture,
( be(esk4_0,esk11_1(X1),X1,esk12_1(X1))
| ~ member(esk4_0,X1,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_19,negated_conjecture,
member(esk4_0,esk1_2(esk4_0,esk10_0),esk10_0),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( frontseat(esk4_0,esk12_1(X1))
| ~ member(esk4_0,X1,esk10_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,esk11_1(esk1_2(esk4_0,esk10_0)),esk1_2(esk4_0,esk10_0),esk12_1(esk1_2(esk4_0,esk10_0))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
fof(c_0_23,plain,
! [X156,X157] :
( ~ frontseat(X156,X157)
| seat(X156,X157) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3])]) ).
cnf(c_0_24,negated_conjecture,
frontseat(esk4_0,esk12_1(esk1_2(esk4_0,esk10_0))),
inference(spm,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_25,negated_conjecture,
esk12_1(esk1_2(esk4_0,esk10_0)) = esk1_2(esk4_0,esk10_0),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_26,plain,
! [X154,X155] :
( ~ seat(X154,X155)
| furniture(X154,X155) ),
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,esk10_0)),
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
fof(c_0_29,plain,
! [X152,X153] :
( ~ furniture(X152,X153)
| instrumentality(X152,X153) ),
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,esk10_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_32,plain,
! [X248,X249] :
( ~ fellow(X248,X249)
| man(X248,X249) ),
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,esk10_0) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_34,plain,
! [X192,X193] :
( ~ instrumentality(X192,X193)
| artifact(X192,X193) ),
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,esk10_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,
! [X224,X225] :
( ~ man(X224,X225)
| male(X224,X225) ),
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,esk10_0)),
inference(spm,[status(thm)],[c_0_33,c_0_19]) ).
fof(c_0_41,plain,
! [X190,X191] :
( ~ artifact(X190,X191)
| object(X190,X191) ),
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,esk10_0)),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
fof(c_0_44,plain,
! [X262,X263] :
( ~ unisex(X262,X263)
| ~ male(X262,X263) ),
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,esk10_0)),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
fof(c_0_47,plain,
! [X182,X183] :
( ~ object(X182,X183)
| unisex(X182,X183) ),
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,esk10_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,esk10_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,esk10_0)),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_54,negated_conjecture,
~ unisex(esk4_0,esk1_2(esk4_0,esk10_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
% 0.00/0.12 % Problem : NLP145+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.32 % Computer : n026.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Mon May 4 23:53:38 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Theorem for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------