%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NLP258+1 : TPTP v9.2.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n031.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 04:52:07 PM UTC 2026
% Result : Theorem 1.36s 1.78s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 17 unt; 0 def)
% Number of atoms : 721 ( 0 equ)
% Maximal formula atoms : 104 ( 13 avg)
% Number of connectives : 1193 ( 527 ~; 509 |; 149 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 80 ( 13 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-12 aty)
% Number of variables : 254 ( 0 sgn 37 !; 46 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ? [X1] :
( actual_world(X1)
& ? [X2,X3,X4,X5,X6,X7,X8] :
( of(X1,X3,X2)
& man(X1,X2)
& vincent_forename(X1,X3)
& forename(X1,X3)
& proposition(X1,X5)
& agent(X1,X4,X2)
& theme(X1,X4,X5)
& event(X1,X4)
& present(X1,X4)
& think_believe_consider(X1,X4)
& accessible_world(X1,X5)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( event(X5,X10)
& agent(X5,X10,X9)
& present(X5,X10)
& smoke(X5,X10) ) )
& of(X1,X6,X7)
& man(X1,X7)
& jules_forename(X1,X6)
& forename(X1,X6)
& man(X1,X7)
& state(X1,X8)
& be(X1,X8,X7,X7) ) )
& ~ ? [X11] :
( actual_world(X11)
& ? [X12,X13,X2,X3,X4,X5,X6,X7,X8,X14,X15] :
( of(X11,X12,X7)
& jules_forename(X11,X12)
& forename(X11,X12)
& of(X11,X13,X2)
& vincent_forename(X11,X13)
& forename(X11,X13)
& of(X11,X3,X2)
& man(X11,X2)
& vincent_forename(X11,X3)
& forename(X11,X3)
& proposition(X11,X5)
& agent(X11,X4,X2)
& theme(X11,X4,X5)
& event(X11,X4)
& present(X11,X4)
& think_believe_consider(X11,X4)
& accessible_world(X11,X5)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( event(X5,X10)
& agent(X5,X10,X9)
& present(X5,X10)
& smoke(X5,X10) ) )
& of(X11,X6,X7)
& man(X11,X7)
& jules_forename(X11,X6)
& forename(X11,X6)
& man(X11,X7)
& state(X11,X8)
& be(X11,X8,X7,X7)
& proposition(X11,X15)
& agent(X11,X14,X2)
& theme(X11,X14,X15)
& event(X11,X14)
& present(X11,X14)
& think_believe_consider(X11,X14)
& accessible_world(X11,X15)
& ? [X16] :
( event(X15,X16)
& agent(X15,X16,X7)
& present(X15,X16)
& smoke(X15,X16) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax1,axiom,
! [X1,X2] :
( jules_forename(X1,X2)
=> forename(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(ax2,axiom,
! [X1,X2] :
( vincent_forename(X1,X2)
=> forename(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax30,axiom,
! [X1,X2] :
( smoke(X1,X2)
=> event(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(ax49,axiom,
! [X1,X2,X3] :
( ( accessible_world(X2,X3)
& man(X2,X1) )
=> man(X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
fof(c_0_5,negated_conjecture,
~ ~ ( ? [X1] :
( actual_world(X1)
& ? [X2,X3,X4,X5,X6,X7,X8] :
( of(X1,X3,X2)
& man(X1,X2)
& vincent_forename(X1,X3)
& forename(X1,X3)
& proposition(X1,X5)
& agent(X1,X4,X2)
& theme(X1,X4,X5)
& event(X1,X4)
& present(X1,X4)
& think_believe_consider(X1,X4)
& accessible_world(X1,X5)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( event(X5,X10)
& agent(X5,X10,X9)
& present(X5,X10)
& smoke(X5,X10) ) )
& of(X1,X6,X7)
& man(X1,X7)
& jules_forename(X1,X6)
& forename(X1,X6)
& man(X1,X7)
& state(X1,X8)
& be(X1,X8,X7,X7) ) )
& ~ ? [X11] :
( actual_world(X11)
& ? [X12,X13,X2,X3,X4,X5,X6,X7,X8,X14,X15] :
( of(X11,X12,X7)
& jules_forename(X11,X12)
& forename(X11,X12)
& of(X11,X13,X2)
& vincent_forename(X11,X13)
& forename(X11,X13)
& of(X11,X3,X2)
& man(X11,X2)
& vincent_forename(X11,X3)
& forename(X11,X3)
& proposition(X11,X5)
& agent(X11,X4,X2)
& theme(X11,X4,X5)
& event(X11,X4)
& present(X11,X4)
& think_believe_consider(X11,X4)
& accessible_world(X11,X5)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( event(X5,X10)
& agent(X5,X10,X9)
& present(X5,X10)
& smoke(X5,X10) ) )
& of(X11,X6,X7)
& man(X11,X7)
& jules_forename(X11,X6)
& forename(X11,X6)
& man(X11,X7)
& state(X11,X8)
& be(X11,X8,X7,X7)
& proposition(X11,X15)
& agent(X11,X14,X2)
& theme(X11,X14,X15)
& event(X11,X14)
& present(X11,X14)
& think_believe_consider(X11,X14)
& accessible_world(X11,X15)
& ? [X16] :
( event(X15,X16)
& agent(X15,X16,X7)
& present(X15,X16)
& smoke(X15,X16) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_6,negated_conjecture,
! [X428,X430,X431,X432,X433,X434,X435,X436,X437,X438,X439,X440,X441,X443,X444] :
( actual_world(esk1_0)
& of(esk1_0,esk3_0,esk2_0)
& man(esk1_0,esk2_0)
& vincent_forename(esk1_0,esk3_0)
& forename(esk1_0,esk3_0)
& proposition(esk1_0,esk5_0)
& agent(esk1_0,esk4_0,esk2_0)
& theme(esk1_0,esk4_0,esk5_0)
& event(esk1_0,esk4_0)
& present(esk1_0,esk4_0)
& think_believe_consider(esk1_0,esk4_0)
& accessible_world(esk1_0,esk5_0)
& ( event(esk5_0,esk9_1(X428))
| ~ man(esk5_0,X428) )
& ( agent(esk5_0,esk9_1(X428),X428)
| ~ man(esk5_0,X428) )
& ( present(esk5_0,esk9_1(X428))
| ~ man(esk5_0,X428) )
& ( smoke(esk5_0,esk9_1(X428))
| ~ man(esk5_0,X428) )
& of(esk1_0,esk6_0,esk7_0)
& man(esk1_0,esk7_0)
& jules_forename(esk1_0,esk6_0)
& forename(esk1_0,esk6_0)
& man(esk1_0,esk7_0)
& state(esk1_0,esk8_0)
& be(esk1_0,esk8_0,esk7_0,esk7_0)
& ( man(X436,esk10_12(X430,X431,X432,X433,X434,X435,X436,X437,X438,X439,X440,X441))
| ~ of(X430,X431,X438)
| ~ jules_forename(X430,X431)
| ~ forename(X430,X431)
| ~ of(X430,X432,X433)
| ~ vincent_forename(X430,X432)
| ~ forename(X430,X432)
| ~ of(X430,X434,X433)
| ~ man(X430,X433)
| ~ vincent_forename(X430,X434)
| ~ forename(X430,X434)
| ~ proposition(X430,X436)
| ~ agent(X430,X435,X433)
| ~ theme(X430,X435,X436)
| ~ event(X430,X435)
| ~ present(X430,X435)
| ~ think_believe_consider(X430,X435)
| ~ accessible_world(X430,X436)
| ~ of(X430,X437,X438)
| ~ man(X430,X438)
| ~ jules_forename(X430,X437)
| ~ forename(X430,X437)
| ~ man(X430,X438)
| ~ state(X430,X439)
| ~ be(X430,X439,X438,X438)
| ~ proposition(X430,X441)
| ~ agent(X430,X440,X433)
| ~ theme(X430,X440,X441)
| ~ event(X430,X440)
| ~ present(X430,X440)
| ~ think_believe_consider(X430,X440)
| ~ accessible_world(X430,X441)
| ~ event(X441,X444)
| ~ agent(X441,X444,X438)
| ~ present(X441,X444)
| ~ smoke(X441,X444)
| ~ actual_world(X430) )
& ( ~ event(X436,X443)
| ~ agent(X436,X443,esk10_12(X430,X431,X432,X433,X434,X435,X436,X437,X438,X439,X440,X441))
| ~ present(X436,X443)
| ~ smoke(X436,X443)
| ~ of(X430,X431,X438)
| ~ jules_forename(X430,X431)
| ~ forename(X430,X431)
| ~ of(X430,X432,X433)
| ~ vincent_forename(X430,X432)
| ~ forename(X430,X432)
| ~ of(X430,X434,X433)
| ~ man(X430,X433)
| ~ vincent_forename(X430,X434)
| ~ forename(X430,X434)
| ~ proposition(X430,X436)
| ~ agent(X430,X435,X433)
| ~ theme(X430,X435,X436)
| ~ event(X430,X435)
| ~ present(X430,X435)
| ~ think_believe_consider(X430,X435)
| ~ accessible_world(X430,X436)
| ~ of(X430,X437,X438)
| ~ man(X430,X438)
| ~ jules_forename(X430,X437)
| ~ forename(X430,X437)
| ~ man(X430,X438)
| ~ state(X430,X439)
| ~ be(X430,X439,X438,X438)
| ~ proposition(X430,X441)
| ~ agent(X430,X440,X433)
| ~ theme(X430,X440,X441)
| ~ event(X430,X440)
| ~ present(X430,X440)
| ~ think_believe_consider(X430,X440)
| ~ accessible_world(X430,X441)
| ~ event(X441,X444)
| ~ agent(X441,X444,X438)
| ~ present(X441,X444)
| ~ smoke(X441,X444)
| ~ actual_world(X430) ) ),
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_5])])])])]) ).
cnf(c_0_7,negated_conjecture,
( man(X1,esk10_12(X2,X3,X4,X5,X6,X7,X1,X8,X9,X10,X11,X12))
| ~ of(X2,X3,X9)
| ~ jules_forename(X2,X3)
| ~ forename(X2,X3)
| ~ of(X2,X4,X5)
| ~ vincent_forename(X2,X4)
| ~ forename(X2,X4)
| ~ of(X2,X6,X5)
| ~ man(X2,X5)
| ~ vincent_forename(X2,X6)
| ~ forename(X2,X6)
| ~ proposition(X2,X1)
| ~ agent(X2,X7,X5)
| ~ theme(X2,X7,X1)
| ~ event(X2,X7)
| ~ present(X2,X7)
| ~ think_believe_consider(X2,X7)
| ~ accessible_world(X2,X1)
| ~ of(X2,X8,X9)
| ~ man(X2,X9)
| ~ jules_forename(X2,X8)
| ~ forename(X2,X8)
| ~ man(X2,X9)
| ~ state(X2,X10)
| ~ be(X2,X10,X9,X9)
| ~ proposition(X2,X12)
| ~ agent(X2,X11,X5)
| ~ theme(X2,X11,X12)
| ~ event(X2,X11)
| ~ present(X2,X11)
| ~ think_believe_consider(X2,X11)
| ~ accessible_world(X2,X12)
| ~ event(X12,X13)
| ~ agent(X12,X13,X9)
| ~ present(X12,X13)
| ~ smoke(X12,X13)
| ~ actual_world(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X231,X232] :
( ~ jules_forename(X231,X232)
| forename(X231,X232) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])]) ).
fof(c_0_9,plain,
! [X233,X234] :
( ~ vincent_forename(X233,X234)
| forename(X233,X234) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2])]) ).
fof(c_0_10,plain,
! [X289,X290] :
( ~ smoke(X289,X290)
| event(X289,X290) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).
cnf(c_0_11,negated_conjecture,
( man(X1,esk10_12(X2,X3,X4,X5,X6,X7,X1,X8,X9,X10,X11,X12))
| ~ actual_world(X2)
| ~ jules_forename(X2,X8)
| ~ jules_forename(X2,X3)
| ~ forename(X2,X8)
| ~ forename(X2,X6)
| ~ forename(X2,X4)
| ~ forename(X2,X3)
| ~ vincent_forename(X2,X6)
| ~ vincent_forename(X2,X4)
| ~ man(X2,X9)
| ~ man(X2,X5)
| ~ state(X2,X10)
| ~ event(X12,X13)
| ~ event(X2,X11)
| ~ event(X2,X7)
| ~ proposition(X2,X12)
| ~ proposition(X2,X1)
| ~ smoke(X12,X13)
| ~ accessible_world(X2,X12)
| ~ accessible_world(X2,X1)
| ~ think_believe_consider(X2,X11)
| ~ think_believe_consider(X2,X7)
| ~ present(X12,X13)
| ~ present(X2,X11)
| ~ present(X2,X7)
| ~ of(X2,X8,X9)
| ~ of(X2,X6,X5)
| ~ of(X2,X4,X5)
| ~ of(X2,X3,X9)
| ~ theme(X2,X11,X12)
| ~ theme(X2,X7,X1)
| ~ agent(X12,X13,X9)
| ~ agent(X2,X11,X5)
| ~ agent(X2,X7,X5)
| ~ be(X2,X10,X9,X9) ),
inference(cn,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( forename(X1,X2)
| ~ jules_forename(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( forename(X1,X2)
| ~ vincent_forename(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( event(X1,X2)
| ~ smoke(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( man(X1,esk10_12(X2,X3,X4,X5,X6,X7,X1,X8,X9,X10,X11,X12))
| ~ actual_world(X2)
| ~ present(X12,X13)
| ~ present(X2,X11)
| ~ present(X2,X7)
| ~ agent(X12,X13,X9)
| ~ agent(X2,X11,X5)
| ~ agent(X2,X7,X5)
| ~ think_believe_consider(X2,X11)
| ~ think_believe_consider(X2,X7)
| ~ theme(X2,X11,X12)
| ~ theme(X2,X7,X1)
| ~ be(X2,X10,X9,X9)
| ~ of(X2,X8,X9)
| ~ of(X2,X6,X5)
| ~ of(X2,X4,X5)
| ~ of(X2,X3,X9)
| ~ accessible_world(X2,X12)
| ~ accessible_world(X2,X1)
| ~ smoke(X12,X13)
| ~ proposition(X2,X12)
| ~ proposition(X2,X1)
| ~ event(X2,X11)
| ~ event(X2,X7)
| ~ state(X2,X10)
| ~ man(X2,X9)
| ~ man(X2,X5)
| ~ vincent_forename(X2,X6)
| ~ vincent_forename(X2,X4)
| ~ jules_forename(X2,X8)
| ~ jules_forename(X2,X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_13]),c_0_12]),c_0_14]) ).
cnf(c_0_16,negated_conjecture,
be(esk1_0,esk8_0,esk7_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_17,negated_conjecture,
actual_world(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_18,negated_conjecture,
state(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
man(esk1_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_20,negated_conjecture,
( ~ event(X1,X2)
| ~ agent(X1,X2,esk10_12(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13))
| ~ present(X1,X2)
| ~ smoke(X1,X2)
| ~ of(X3,X4,X10)
| ~ jules_forename(X3,X4)
| ~ forename(X3,X4)
| ~ of(X3,X5,X6)
| ~ vincent_forename(X3,X5)
| ~ forename(X3,X5)
| ~ of(X3,X7,X6)
| ~ man(X3,X6)
| ~ vincent_forename(X3,X7)
| ~ forename(X3,X7)
| ~ proposition(X3,X1)
| ~ agent(X3,X8,X6)
| ~ theme(X3,X8,X1)
| ~ event(X3,X8)
| ~ present(X3,X8)
| ~ think_believe_consider(X3,X8)
| ~ accessible_world(X3,X1)
| ~ of(X3,X9,X10)
| ~ man(X3,X10)
| ~ jules_forename(X3,X9)
| ~ forename(X3,X9)
| ~ man(X3,X10)
| ~ state(X3,X11)
| ~ be(X3,X11,X10,X10)
| ~ proposition(X3,X13)
| ~ agent(X3,X12,X6)
| ~ theme(X3,X12,X13)
| ~ event(X3,X12)
| ~ present(X3,X12)
| ~ think_believe_consider(X3,X12)
| ~ accessible_world(X3,X13)
| ~ event(X13,X14)
| ~ agent(X13,X14,X10)
| ~ present(X13,X14)
| ~ smoke(X13,X14)
| ~ actual_world(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_21,negated_conjecture,
( man(X1,esk10_12(esk1_0,X2,X3,X4,X5,X6,X1,X7,esk7_0,esk8_0,X8,X9))
| ~ present(esk1_0,X8)
| ~ present(esk1_0,X6)
| ~ present(X9,X10)
| ~ agent(X9,X10,esk7_0)
| ~ agent(esk1_0,X8,X4)
| ~ agent(esk1_0,X6,X4)
| ~ think_believe_consider(esk1_0,X8)
| ~ think_believe_consider(esk1_0,X6)
| ~ theme(esk1_0,X8,X9)
| ~ theme(esk1_0,X6,X1)
| ~ of(esk1_0,X7,esk7_0)
| ~ of(esk1_0,X2,esk7_0)
| ~ of(esk1_0,X5,X4)
| ~ of(esk1_0,X3,X4)
| ~ accessible_world(esk1_0,X9)
| ~ accessible_world(esk1_0,X1)
| ~ smoke(X9,X10)
| ~ proposition(esk1_0,X9)
| ~ proposition(esk1_0,X1)
| ~ event(esk1_0,X8)
| ~ event(esk1_0,X6)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X5)
| ~ vincent_forename(esk1_0,X3)
| ~ jules_forename(esk1_0,X7)
| ~ jules_forename(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_22,negated_conjecture,
of(esk1_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_23,negated_conjecture,
jules_forename(esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( ~ actual_world(X3)
| ~ jules_forename(X3,X9)
| ~ jules_forename(X3,X4)
| ~ forename(X3,X9)
| ~ forename(X3,X7)
| ~ forename(X3,X5)
| ~ forename(X3,X4)
| ~ vincent_forename(X3,X7)
| ~ vincent_forename(X3,X5)
| ~ man(X3,X10)
| ~ man(X3,X6)
| ~ state(X3,X11)
| ~ event(X13,X14)
| ~ event(X3,X12)
| ~ event(X3,X8)
| ~ event(X1,X2)
| ~ proposition(X3,X13)
| ~ proposition(X3,X1)
| ~ smoke(X13,X14)
| ~ smoke(X1,X2)
| ~ accessible_world(X3,X13)
| ~ accessible_world(X3,X1)
| ~ think_believe_consider(X3,X12)
| ~ think_believe_consider(X3,X8)
| ~ present(X13,X14)
| ~ present(X3,X12)
| ~ present(X3,X8)
| ~ present(X1,X2)
| ~ of(X3,X9,X10)
| ~ of(X3,X7,X6)
| ~ of(X3,X5,X6)
| ~ of(X3,X4,X10)
| ~ theme(X3,X12,X13)
| ~ theme(X3,X8,X1)
| ~ agent(X13,X14,X10)
| ~ agent(X3,X12,X6)
| ~ agent(X3,X8,X6)
| ~ be(X3,X11,X10,X10)
| ~ agent(X1,X2,esk10_12(X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13)) ),
inference(cn,[status(thm)],[c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( man(X1,esk10_12(esk1_0,X2,X3,X4,X5,X6,X1,esk6_0,esk7_0,esk8_0,X7,X8))
| ~ present(esk1_0,X7)
| ~ present(esk1_0,X6)
| ~ present(X8,X9)
| ~ agent(X8,X9,esk7_0)
| ~ agent(esk1_0,X7,X4)
| ~ agent(esk1_0,X6,X4)
| ~ think_believe_consider(esk1_0,X7)
| ~ think_believe_consider(esk1_0,X6)
| ~ theme(esk1_0,X7,X8)
| ~ theme(esk1_0,X6,X1)
| ~ of(esk1_0,X2,esk7_0)
| ~ of(esk1_0,X5,X4)
| ~ of(esk1_0,X3,X4)
| ~ accessible_world(esk1_0,X8)
| ~ accessible_world(esk1_0,X1)
| ~ smoke(X8,X9)
| ~ proposition(esk1_0,X8)
| ~ proposition(esk1_0,X1)
| ~ event(esk1_0,X7)
| ~ event(esk1_0,X6)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X5)
| ~ vincent_forename(esk1_0,X3)
| ~ jules_forename(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).
cnf(c_0_26,negated_conjecture,
( ~ actual_world(X1)
| ~ present(X2,X3)
| ~ present(X1,X4)
| ~ present(X1,X5)
| ~ present(X6,X7)
| ~ agent(X6,X7,esk10_12(X1,X8,X9,X10,X11,X5,X6,X12,X13,X14,X4,X2))
| ~ agent(X2,X3,X13)
| ~ agent(X1,X4,X10)
| ~ agent(X1,X5,X10)
| ~ think_believe_consider(X1,X4)
| ~ think_believe_consider(X1,X5)
| ~ theme(X1,X4,X2)
| ~ theme(X1,X5,X6)
| ~ be(X1,X14,X13,X13)
| ~ of(X1,X12,X13)
| ~ of(X1,X11,X10)
| ~ of(X1,X9,X10)
| ~ of(X1,X8,X13)
| ~ accessible_world(X1,X2)
| ~ accessible_world(X1,X6)
| ~ smoke(X2,X3)
| ~ smoke(X6,X7)
| ~ proposition(X1,X2)
| ~ proposition(X1,X6)
| ~ event(X1,X4)
| ~ event(X1,X5)
| ~ state(X1,X14)
| ~ man(X1,X13)
| ~ man(X1,X10)
| ~ vincent_forename(X1,X11)
| ~ vincent_forename(X1,X9)
| ~ jules_forename(X1,X12)
| ~ jules_forename(X1,X8) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_24,c_0_12]),c_0_13]),c_0_13]),c_0_12]),c_0_14]),c_0_14]) ).
cnf(c_0_27,negated_conjecture,
( agent(esk5_0,esk9_1(X1),X1)
| ~ man(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
( smoke(esk5_0,esk9_1(X1))
| ~ man(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,negated_conjecture,
( present(esk5_0,esk9_1(X1))
| ~ man(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,negated_conjecture,
( man(X1,esk10_12(esk1_0,esk6_0,X2,X3,X4,X5,X1,esk6_0,esk7_0,esk8_0,X6,X7))
| ~ present(esk1_0,X6)
| ~ present(esk1_0,X5)
| ~ present(X7,X8)
| ~ agent(X7,X8,esk7_0)
| ~ agent(esk1_0,X6,X3)
| ~ agent(esk1_0,X5,X3)
| ~ think_believe_consider(esk1_0,X6)
| ~ think_believe_consider(esk1_0,X5)
| ~ theme(esk1_0,X6,X7)
| ~ theme(esk1_0,X5,X1)
| ~ of(esk1_0,X4,X3)
| ~ of(esk1_0,X2,X3)
| ~ accessible_world(esk1_0,X7)
| ~ accessible_world(esk1_0,X1)
| ~ smoke(X7,X8)
| ~ proposition(esk1_0,X7)
| ~ proposition(esk1_0,X1)
| ~ event(esk1_0,X6)
| ~ event(esk1_0,X5)
| ~ man(esk1_0,X3)
| ~ vincent_forename(esk1_0,X4)
| ~ vincent_forename(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_22]),c_0_23])]) ).
cnf(c_0_31,negated_conjecture,
accessible_world(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
proposition(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_33,plain,
! [X342,X343,X344] :
( ~ accessible_world(X343,X344)
| ~ man(X343,X342)
| man(X344,X342) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
cnf(c_0_34,negated_conjecture,
( ~ actual_world(X1)
| ~ present(X2,X3)
| ~ present(X1,X4)
| ~ present(X1,X5)
| ~ agent(X2,X3,X6)
| ~ agent(X1,X4,X7)
| ~ agent(X1,X5,X7)
| ~ think_believe_consider(X1,X4)
| ~ think_believe_consider(X1,X5)
| ~ theme(X1,X5,esk5_0)
| ~ theme(X1,X4,X2)
| ~ be(X1,X8,X6,X6)
| ~ of(X1,X9,X6)
| ~ of(X1,X10,X7)
| ~ of(X1,X11,X7)
| ~ of(X1,X12,X6)
| ~ accessible_world(X1,esk5_0)
| ~ accessible_world(X1,X2)
| ~ smoke(X2,X3)
| ~ proposition(X1,esk5_0)
| ~ proposition(X1,X2)
| ~ event(X1,X4)
| ~ event(X1,X5)
| ~ state(X1,X8)
| ~ man(esk5_0,esk10_12(X1,X12,X11,X7,X10,X5,esk5_0,X9,X6,X8,X4,X2))
| ~ man(X1,X6)
| ~ man(X1,X7)
| ~ vincent_forename(X1,X10)
| ~ vincent_forename(X1,X11)
| ~ jules_forename(X1,X9)
| ~ jules_forename(X1,X12) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_35,negated_conjecture,
( man(X1,esk10_12(esk1_0,esk6_0,X2,X3,X4,X5,X1,esk6_0,esk7_0,esk8_0,X6,esk5_0))
| ~ present(esk1_0,X6)
| ~ present(esk1_0,X5)
| ~ agent(esk1_0,X6,X3)
| ~ agent(esk1_0,X5,X3)
| ~ think_believe_consider(esk1_0,X6)
| ~ think_believe_consider(esk1_0,X5)
| ~ theme(esk1_0,X6,esk5_0)
| ~ theme(esk1_0,X5,X1)
| ~ of(esk1_0,X4,X3)
| ~ of(esk1_0,X2,X3)
| ~ accessible_world(esk1_0,X1)
| ~ proposition(esk1_0,X1)
| ~ event(esk1_0,X6)
| ~ event(esk1_0,X5)
| ~ man(esk5_0,esk7_0)
| ~ man(esk1_0,X3)
| ~ vincent_forename(esk1_0,X4)
| ~ vincent_forename(esk1_0,X2) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_27]),c_0_31]),c_0_32])]),c_0_28]),c_0_29]) ).
cnf(c_0_36,plain,
( man(X2,X3)
| ~ accessible_world(X1,X2)
| ~ man(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( ~ present(esk5_0,X1)
| ~ present(esk1_0,X2)
| ~ present(esk1_0,X3)
| ~ agent(esk5_0,X1,esk7_0)
| ~ agent(esk1_0,X2,X4)
| ~ agent(esk1_0,X3,X4)
| ~ think_believe_consider(esk1_0,X2)
| ~ think_believe_consider(esk1_0,X3)
| ~ theme(esk1_0,X3,esk5_0)
| ~ theme(esk1_0,X2,esk5_0)
| ~ of(esk1_0,X5,X4)
| ~ of(esk1_0,X6,X4)
| ~ smoke(esk5_0,X1)
| ~ event(esk1_0,X2)
| ~ event(esk1_0,X3)
| ~ man(esk5_0,esk7_0)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X5)
| ~ vincent_forename(esk1_0,X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_17]),c_0_16]),c_0_22]),c_0_31]),c_0_32]),c_0_18]),c_0_19]),c_0_23])]) ).
cnf(c_0_38,negated_conjecture,
( man(esk5_0,X1)
| ~ man(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
( ~ present(esk5_0,X1)
| ~ present(esk1_0,X2)
| ~ present(esk1_0,X3)
| ~ agent(esk5_0,X1,esk7_0)
| ~ agent(esk1_0,X2,X4)
| ~ agent(esk1_0,X3,X4)
| ~ think_believe_consider(esk1_0,X2)
| ~ think_believe_consider(esk1_0,X3)
| ~ theme(esk1_0,X3,esk5_0)
| ~ theme(esk1_0,X2,esk5_0)
| ~ of(esk1_0,X5,X4)
| ~ of(esk1_0,X6,X4)
| ~ smoke(esk5_0,X1)
| ~ event(esk1_0,X2)
| ~ event(esk1_0,X3)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X5)
| ~ vincent_forename(esk1_0,X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_19])]) ).
cnf(c_0_40,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(esk1_0,X2)
| ~ agent(esk1_0,X1,X3)
| ~ agent(esk1_0,X2,X3)
| ~ think_believe_consider(esk1_0,X1)
| ~ think_believe_consider(esk1_0,X2)
| ~ theme(esk1_0,X2,esk5_0)
| ~ theme(esk1_0,X1,esk5_0)
| ~ of(esk1_0,X4,X3)
| ~ of(esk1_0,X5,X3)
| ~ event(esk1_0,X1)
| ~ event(esk1_0,X2)
| ~ man(esk5_0,esk7_0)
| ~ man(esk1_0,X3)
| ~ vincent_forename(esk1_0,X4)
| ~ vincent_forename(esk1_0,X5) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_27]),c_0_28]),c_0_29]) ).
cnf(c_0_41,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(esk1_0,X2)
| ~ agent(esk1_0,X1,X3)
| ~ agent(esk1_0,X2,X3)
| ~ think_believe_consider(esk1_0,X1)
| ~ think_believe_consider(esk1_0,X2)
| ~ theme(esk1_0,X2,esk5_0)
| ~ theme(esk1_0,X1,esk5_0)
| ~ of(esk1_0,X4,X3)
| ~ of(esk1_0,X5,X3)
| ~ event(esk1_0,X1)
| ~ event(esk1_0,X2)
| ~ man(esk1_0,X3)
| ~ vincent_forename(esk1_0,X4)
| ~ vincent_forename(esk1_0,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_38]),c_0_19])]) ).
cnf(c_0_42,negated_conjecture,
theme(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_43,negated_conjecture,
present(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,negated_conjecture,
think_believe_consider(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_45,negated_conjecture,
event(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_46,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ agent(esk1_0,esk4_0,X2)
| ~ agent(esk1_0,X1,X2)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,esk5_0)
| ~ of(esk1_0,X3,X2)
| ~ of(esk1_0,X4,X2)
| ~ event(esk1_0,X1)
| ~ man(esk1_0,X2)
| ~ vincent_forename(esk1_0,X3)
| ~ vincent_forename(esk1_0,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]),c_0_45])]) ).
cnf(c_0_47,negated_conjecture,
agent(esk1_0,esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_48,negated_conjecture,
man(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_49,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ agent(esk1_0,X1,esk2_0)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,esk5_0)
| ~ of(esk1_0,X2,esk2_0)
| ~ of(esk1_0,X3,esk2_0)
| ~ event(esk1_0,X1)
| ~ vincent_forename(esk1_0,X2)
| ~ vincent_forename(esk1_0,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]) ).
cnf(c_0_50,negated_conjecture,
( ~ of(esk1_0,X1,esk2_0)
| ~ of(esk1_0,X2,esk2_0)
| ~ vincent_forename(esk1_0,X1)
| ~ vincent_forename(esk1_0,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_47]),c_0_43]),c_0_44]),c_0_42]),c_0_45])]) ).
cnf(c_0_51,negated_conjecture,
of(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_52,negated_conjecture,
vincent_forename(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_53,negated_conjecture,
( ~ of(esk1_0,X1,esk2_0)
| ~ vincent_forename(esk1_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_51]),c_0_52])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_52]),c_0_51])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.15 % Problem : NLP258+1 : TPTP v9.2.1. Released v2.4.0.
% 0.10/0.15 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.37 % Computer : n031.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Tue May 5 00:05:53 EDT 2026
% 0.15/0.38 % CPUTime :
% 0.15/0.39 % start to proof: theBenchmark
% 1.36/1.78 % Version : CSE_E---1.7
% 1.36/1.78 % Problem : theBenchmark.p
% 1.36/1.78 % SZS status Theorem for theBenchmark.p
% 1.36/1.78 % SZS output start CNFRefutation
% See solution above
% 1.36/1.78 % Total time : 1.371s
%------------------------------------------------------------------------------