%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : NLP251+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 : 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 : Tue May 5 04:52:05 PM UTC 2026
% Result : Theorem 1.34s 1.72s
% Output : CNFRefutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 56 ( 17 unt; 0 def)
% Number of atoms : 760 ( 0 equ)
% Maximal formula atoms : 108 ( 13 avg)
% Number of connectives : 1270 ( 566 ~; 543 |; 153 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 84 ( 14 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-14 aty)
% Number of variables : 302 ( 0 sgn 39 !; 50 ?)
% 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,X14,X15,X2,X3,X4,X5,X6,X7,X8,X16,X17] :
( of(X11,X13,X12)
& man(X11,X12)
& vincent_forename(X11,X13)
& forename(X11,X13)
& of(X11,X15,X14)
& man(X11,X14)
& jules_forename(X11,X15)
& forename(X11,X15)
& 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,X17)
& agent(X11,X16,X12)
& theme(X11,X16,X17)
& event(X11,X16)
& present(X11,X16)
& think_believe_consider(X11,X16)
& accessible_world(X11,X17)
& ? [X18] :
( event(X17,X18)
& agent(X17,X18,X14)
& present(X17,X18)
& smoke(X17,X18) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(ax2,axiom,
! [X1,X2] :
( vincent_forename(X1,X2)
=> forename(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(ax1,axiom,
! [X1,X2] :
( jules_forename(X1,X2)
=> forename(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
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,X14,X15,X2,X3,X4,X5,X6,X7,X8,X16,X17] :
( of(X11,X13,X12)
& man(X11,X12)
& vincent_forename(X11,X13)
& forename(X11,X13)
& of(X11,X15,X14)
& man(X11,X14)
& jules_forename(X11,X15)
& forename(X11,X15)
& 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,X17)
& agent(X11,X16,X12)
& theme(X11,X16,X17)
& event(X11,X16)
& present(X11,X16)
& think_believe_consider(X11,X16)
& accessible_world(X11,X17)
& ? [X18] :
( event(X17,X18)
& agent(X17,X18,X14)
& present(X17,X18)
& smoke(X17,X18) ) ) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_6,negated_conjecture,
! [X432,X434,X435,X436,X437,X438,X439,X440,X441,X442,X443,X444,X445,X446,X447,X449,X450] :
( 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(X432))
| ~ man(esk5_0,X432) )
& ( agent(esk5_0,esk9_1(X432),X432)
| ~ man(esk5_0,X432) )
& ( present(esk5_0,esk9_1(X432))
| ~ man(esk5_0,X432) )
& ( smoke(esk5_0,esk9_1(X432))
| ~ man(esk5_0,X432) )
& 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(X442,esk10_14(X434,X435,X436,X437,X438,X439,X440,X441,X442,X443,X444,X445,X446,X447))
| ~ of(X434,X436,X435)
| ~ man(X434,X435)
| ~ vincent_forename(X434,X436)
| ~ forename(X434,X436)
| ~ of(X434,X438,X437)
| ~ man(X434,X437)
| ~ jules_forename(X434,X438)
| ~ forename(X434,X438)
| ~ of(X434,X440,X439)
| ~ man(X434,X439)
| ~ vincent_forename(X434,X440)
| ~ forename(X434,X440)
| ~ proposition(X434,X442)
| ~ agent(X434,X441,X439)
| ~ theme(X434,X441,X442)
| ~ event(X434,X441)
| ~ present(X434,X441)
| ~ think_believe_consider(X434,X441)
| ~ accessible_world(X434,X442)
| ~ of(X434,X443,X444)
| ~ man(X434,X444)
| ~ jules_forename(X434,X443)
| ~ forename(X434,X443)
| ~ man(X434,X444)
| ~ state(X434,X445)
| ~ be(X434,X445,X444,X444)
| ~ proposition(X434,X447)
| ~ agent(X434,X446,X435)
| ~ theme(X434,X446,X447)
| ~ event(X434,X446)
| ~ present(X434,X446)
| ~ think_believe_consider(X434,X446)
| ~ accessible_world(X434,X447)
| ~ event(X447,X450)
| ~ agent(X447,X450,X437)
| ~ present(X447,X450)
| ~ smoke(X447,X450)
| ~ actual_world(X434) )
& ( ~ event(X442,X449)
| ~ agent(X442,X449,esk10_14(X434,X435,X436,X437,X438,X439,X440,X441,X442,X443,X444,X445,X446,X447))
| ~ present(X442,X449)
| ~ smoke(X442,X449)
| ~ of(X434,X436,X435)
| ~ man(X434,X435)
| ~ vincent_forename(X434,X436)
| ~ forename(X434,X436)
| ~ of(X434,X438,X437)
| ~ man(X434,X437)
| ~ jules_forename(X434,X438)
| ~ forename(X434,X438)
| ~ of(X434,X440,X439)
| ~ man(X434,X439)
| ~ vincent_forename(X434,X440)
| ~ forename(X434,X440)
| ~ proposition(X434,X442)
| ~ agent(X434,X441,X439)
| ~ theme(X434,X441,X442)
| ~ event(X434,X441)
| ~ present(X434,X441)
| ~ think_believe_consider(X434,X441)
| ~ accessible_world(X434,X442)
| ~ of(X434,X443,X444)
| ~ man(X434,X444)
| ~ jules_forename(X434,X443)
| ~ forename(X434,X443)
| ~ man(X434,X444)
| ~ state(X434,X445)
| ~ be(X434,X445,X444,X444)
| ~ proposition(X434,X447)
| ~ agent(X434,X446,X435)
| ~ theme(X434,X446,X447)
| ~ event(X434,X446)
| ~ present(X434,X446)
| ~ think_believe_consider(X434,X446)
| ~ accessible_world(X434,X447)
| ~ event(X447,X450)
| ~ agent(X447,X450,X437)
| ~ present(X447,X450)
| ~ smoke(X447,X450)
| ~ actual_world(X434) ) ),
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,
( ~ event(X1,X2)
| ~ agent(X1,X2,esk10_14(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11,X12,X13,X14,X15))
| ~ present(X1,X2)
| ~ smoke(X1,X2)
| ~ of(X3,X5,X4)
| ~ man(X3,X4)
| ~ vincent_forename(X3,X5)
| ~ forename(X3,X5)
| ~ of(X3,X7,X6)
| ~ man(X3,X6)
| ~ jules_forename(X3,X7)
| ~ forename(X3,X7)
| ~ of(X3,X9,X8)
| ~ man(X3,X8)
| ~ vincent_forename(X3,X9)
| ~ forename(X3,X9)
| ~ proposition(X3,X1)
| ~ agent(X3,X10,X8)
| ~ theme(X3,X10,X1)
| ~ event(X3,X10)
| ~ present(X3,X10)
| ~ think_believe_consider(X3,X10)
| ~ accessible_world(X3,X1)
| ~ of(X3,X11,X12)
| ~ man(X3,X12)
| ~ jules_forename(X3,X11)
| ~ forename(X3,X11)
| ~ man(X3,X12)
| ~ state(X3,X13)
| ~ be(X3,X13,X12,X12)
| ~ proposition(X3,X15)
| ~ agent(X3,X14,X4)
| ~ theme(X3,X14,X15)
| ~ event(X3,X14)
| ~ present(X3,X14)
| ~ think_believe_consider(X3,X14)
| ~ accessible_world(X3,X15)
| ~ event(X15,X16)
| ~ agent(X15,X16,X6)
| ~ present(X15,X16)
| ~ smoke(X15,X16)
| ~ actual_world(X3) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X237,X238] :
( ~ vincent_forename(X237,X238)
| forename(X237,X238) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2])]) ).
fof(c_0_9,plain,
! [X235,X236] :
( ~ jules_forename(X235,X236)
| forename(X235,X236) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])]) ).
fof(c_0_10,plain,
! [X293,X294] :
( ~ smoke(X293,X294)
| event(X293,X294) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])]) ).
cnf(c_0_11,negated_conjecture,
( man(X1,esk10_14(X2,X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14))
| ~ of(X2,X4,X3)
| ~ man(X2,X3)
| ~ vincent_forename(X2,X4)
| ~ forename(X2,X4)
| ~ of(X2,X6,X5)
| ~ man(X2,X5)
| ~ jules_forename(X2,X6)
| ~ forename(X2,X6)
| ~ of(X2,X8,X7)
| ~ man(X2,X7)
| ~ vincent_forename(X2,X8)
| ~ forename(X2,X8)
| ~ proposition(X2,X1)
| ~ agent(X2,X9,X7)
| ~ theme(X2,X9,X1)
| ~ event(X2,X9)
| ~ present(X2,X9)
| ~ think_believe_consider(X2,X9)
| ~ accessible_world(X2,X1)
| ~ of(X2,X10,X11)
| ~ man(X2,X11)
| ~ jules_forename(X2,X10)
| ~ forename(X2,X10)
| ~ man(X2,X11)
| ~ state(X2,X12)
| ~ be(X2,X12,X11,X11)
| ~ proposition(X2,X14)
| ~ agent(X2,X13,X3)
| ~ theme(X2,X13,X14)
| ~ event(X2,X13)
| ~ present(X2,X13)
| ~ think_believe_consider(X2,X13)
| ~ accessible_world(X2,X14)
| ~ event(X14,X15)
| ~ agent(X14,X15,X5)
| ~ present(X14,X15)
| ~ smoke(X14,X15)
| ~ actual_world(X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ actual_world(X3)
| ~ jules_forename(X3,X11)
| ~ jules_forename(X3,X7)
| ~ forename(X3,X11)
| ~ forename(X3,X9)
| ~ forename(X3,X7)
| ~ forename(X3,X5)
| ~ vincent_forename(X3,X9)
| ~ vincent_forename(X3,X5)
| ~ man(X3,X12)
| ~ man(X3,X8)
| ~ man(X3,X6)
| ~ man(X3,X4)
| ~ state(X3,X13)
| ~ event(X15,X16)
| ~ event(X3,X14)
| ~ event(X3,X10)
| ~ event(X1,X2)
| ~ proposition(X3,X15)
| ~ proposition(X3,X1)
| ~ smoke(X15,X16)
| ~ smoke(X1,X2)
| ~ accessible_world(X3,X15)
| ~ accessible_world(X3,X1)
| ~ think_believe_consider(X3,X14)
| ~ think_believe_consider(X3,X10)
| ~ present(X15,X16)
| ~ present(X3,X14)
| ~ present(X3,X10)
| ~ present(X1,X2)
| ~ of(X3,X11,X12)
| ~ of(X3,X9,X8)
| ~ of(X3,X7,X6)
| ~ of(X3,X5,X4)
| ~ theme(X3,X14,X15)
| ~ theme(X3,X10,X1)
| ~ agent(X15,X16,X6)
| ~ agent(X3,X14,X4)
| ~ agent(X3,X10,X8)
| ~ be(X3,X13,X12,X12)
| ~ agent(X1,X2,esk10_14(X3,X4,X5,X6,X7,X8,X9,X10,X1,X11,X12,X13,X14,X15)) ),
inference(cn,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( forename(X1,X2)
| ~ vincent_forename(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( forename(X1,X2)
| ~ jules_forename(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( event(X1,X2)
| ~ smoke(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( man(X1,esk10_14(X2,X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14))
| ~ actual_world(X2)
| ~ jules_forename(X2,X10)
| ~ jules_forename(X2,X6)
| ~ forename(X2,X10)
| ~ forename(X2,X8)
| ~ forename(X2,X6)
| ~ forename(X2,X4)
| ~ vincent_forename(X2,X8)
| ~ vincent_forename(X2,X4)
| ~ man(X2,X11)
| ~ man(X2,X7)
| ~ man(X2,X5)
| ~ man(X2,X3)
| ~ state(X2,X12)
| ~ event(X14,X15)
| ~ event(X2,X13)
| ~ event(X2,X9)
| ~ proposition(X2,X14)
| ~ proposition(X2,X1)
| ~ smoke(X14,X15)
| ~ accessible_world(X2,X14)
| ~ accessible_world(X2,X1)
| ~ think_believe_consider(X2,X13)
| ~ think_believe_consider(X2,X9)
| ~ present(X14,X15)
| ~ present(X2,X13)
| ~ present(X2,X9)
| ~ of(X2,X10,X11)
| ~ of(X2,X8,X7)
| ~ of(X2,X6,X5)
| ~ of(X2,X4,X3)
| ~ theme(X2,X13,X14)
| ~ theme(X2,X9,X1)
| ~ agent(X14,X15,X5)
| ~ agent(X2,X13,X3)
| ~ agent(X2,X9,X7)
| ~ be(X2,X12,X11,X11) ),
inference(cn,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( ~ actual_world(X1)
| ~ present(X2,X3)
| ~ present(X1,X4)
| ~ present(X1,X5)
| ~ present(X6,X7)
| ~ agent(X6,X7,esk10_14(X1,X8,X9,X10,X11,X12,X13,X5,X6,X14,X15,X16,X4,X2))
| ~ agent(X2,X3,X10)
| ~ agent(X1,X4,X8)
| ~ agent(X1,X5,X12)
| ~ think_believe_consider(X1,X4)
| ~ think_believe_consider(X1,X5)
| ~ theme(X1,X4,X2)
| ~ theme(X1,X5,X6)
| ~ be(X1,X16,X15,X15)
| ~ of(X1,X14,X15)
| ~ of(X1,X13,X12)
| ~ of(X1,X11,X10)
| ~ of(X1,X9,X8)
| ~ 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,X16)
| ~ man(X1,X15)
| ~ man(X1,X12)
| ~ man(X1,X10)
| ~ man(X1,X8)
| ~ vincent_forename(X1,X13)
| ~ vincent_forename(X1,X9)
| ~ jules_forename(X1,X14)
| ~ jules_forename(X1,X11) ),
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_12,c_0_13]),c_0_14]),c_0_13]),c_0_14]),c_0_15]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( agent(esk5_0,esk9_1(X1),X1)
| ~ man(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( man(X1,esk10_14(X2,X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14))
| ~ actual_world(X2)
| ~ present(X14,X15)
| ~ present(X2,X13)
| ~ present(X2,X9)
| ~ agent(X14,X15,X5)
| ~ agent(X2,X13,X3)
| ~ agent(X2,X9,X7)
| ~ think_believe_consider(X2,X13)
| ~ think_believe_consider(X2,X9)
| ~ theme(X2,X13,X14)
| ~ theme(X2,X9,X1)
| ~ be(X2,X12,X11,X11)
| ~ of(X2,X10,X11)
| ~ of(X2,X8,X7)
| ~ of(X2,X6,X5)
| ~ of(X2,X4,X3)
| ~ accessible_world(X2,X14)
| ~ accessible_world(X2,X1)
| ~ smoke(X14,X15)
| ~ proposition(X2,X14)
| ~ proposition(X2,X1)
| ~ event(X2,X13)
| ~ event(X2,X9)
| ~ state(X2,X12)
| ~ man(X2,X11)
| ~ man(X2,X7)
| ~ man(X2,X5)
| ~ man(X2,X3)
| ~ vincent_forename(X2,X8)
| ~ vincent_forename(X2,X4)
| ~ jules_forename(X2,X10)
| ~ jules_forename(X2,X6) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_16,c_0_13]),c_0_14]),c_0_13]),c_0_14]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ actual_world(X1)
| ~ present(esk5_0,esk9_1(esk10_14(X1,X2,X3,X4,X5,X6,X7,X8,esk5_0,X9,X10,X11,X12,X13)))
| ~ present(X13,X14)
| ~ present(X1,X12)
| ~ present(X1,X8)
| ~ agent(X13,X14,X4)
| ~ agent(X1,X12,X2)
| ~ agent(X1,X8,X6)
| ~ think_believe_consider(X1,X12)
| ~ think_believe_consider(X1,X8)
| ~ theme(X1,X8,esk5_0)
| ~ theme(X1,X12,X13)
| ~ be(X1,X11,X10,X10)
| ~ of(X1,X9,X10)
| ~ of(X1,X7,X6)
| ~ of(X1,X5,X4)
| ~ of(X1,X3,X2)
| ~ accessible_world(X1,esk5_0)
| ~ accessible_world(X1,X13)
| ~ smoke(esk5_0,esk9_1(esk10_14(X1,X2,X3,X4,X5,X6,X7,X8,esk5_0,X9,X10,X11,X12,X13)))
| ~ smoke(X13,X14)
| ~ proposition(X1,esk5_0)
| ~ proposition(X1,X13)
| ~ event(X1,X12)
| ~ event(X1,X8)
| ~ state(X1,X11)
| ~ man(X1,X10)
| ~ man(X1,X6)
| ~ man(X1,X4)
| ~ man(X1,X2)
| ~ vincent_forename(X1,X7)
| ~ vincent_forename(X1,X3)
| ~ jules_forename(X1,X9)
| ~ jules_forename(X1,X5) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( present(esk5_0,esk9_1(X1))
| ~ man(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,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,X8)
| ~ think_believe_consider(X1,X4)
| ~ think_believe_consider(X1,X5)
| ~ theme(X1,X5,esk5_0)
| ~ theme(X1,X4,X2)
| ~ be(X1,X9,X10,X10)
| ~ of(X1,X11,X10)
| ~ of(X1,X12,X8)
| ~ of(X1,X13,X6)
| ~ of(X1,X14,X7)
| ~ accessible_world(X1,esk5_0)
| ~ accessible_world(X1,X2)
| ~ smoke(esk5_0,esk9_1(esk10_14(X1,X7,X14,X6,X13,X8,X12,X5,esk5_0,X11,X10,X9,X4,X2)))
| ~ smoke(X2,X3)
| ~ proposition(X1,esk5_0)
| ~ proposition(X1,X2)
| ~ event(X1,X4)
| ~ event(X1,X5)
| ~ state(X1,X9)
| ~ man(X1,X10)
| ~ man(X1,X8)
| ~ man(X1,X6)
| ~ man(X1,X7)
| ~ vincent_forename(X1,X12)
| ~ vincent_forename(X1,X14)
| ~ jules_forename(X1,X11)
| ~ jules_forename(X1,X13) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( smoke(esk5_0,esk9_1(X1))
| ~ man(esk5_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,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,X8)
| ~ think_believe_consider(X1,X4)
| ~ think_believe_consider(X1,X5)
| ~ theme(X1,X5,esk5_0)
| ~ theme(X1,X4,X2)
| ~ be(X1,X9,X10,X10)
| ~ of(X1,X11,X10)
| ~ of(X1,X12,X8)
| ~ of(X1,X13,X6)
| ~ of(X1,X14,X7)
| ~ 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,X9)
| ~ man(X1,X10)
| ~ man(X1,X8)
| ~ man(X1,X6)
| ~ man(X1,X7)
| ~ vincent_forename(X1,X12)
| ~ vincent_forename(X1,X14)
| ~ jules_forename(X1,X11)
| ~ jules_forename(X1,X13) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_19]) ).
cnf(c_0_25,negated_conjecture,
theme(esk1_0,esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_26,negated_conjecture,
actual_world(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_27,negated_conjecture,
present(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_28,negated_conjecture,
think_believe_consider(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_29,negated_conjecture,
accessible_world(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_30,negated_conjecture,
proposition(esk1_0,esk5_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_31,negated_conjecture,
event(esk1_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_32,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,esk4_0,X4)
| ~ agent(esk1_0,X1,X5)
| ~ agent(X2,X3,X6)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ be(esk1_0,X7,X8,X8)
| ~ of(esk1_0,X9,X8)
| ~ of(esk1_0,X10,X4)
| ~ of(esk1_0,X11,X6)
| ~ of(esk1_0,X12,X5)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ state(esk1_0,X7)
| ~ man(esk1_0,X8)
| ~ man(esk1_0,X4)
| ~ man(esk1_0,X6)
| ~ man(esk1_0,X5)
| ~ vincent_forename(esk1_0,X10)
| ~ vincent_forename(esk1_0,X12)
| ~ jules_forename(esk1_0,X9)
| ~ jules_forename(esk1_0,X11) ),
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(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_33,negated_conjecture,
agent(esk1_0,esk4_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_34,negated_conjecture,
man(esk1_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_35,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,X1,X4)
| ~ agent(X2,X3,X5)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ be(esk1_0,X6,X7,X7)
| ~ of(esk1_0,X8,esk2_0)
| ~ of(esk1_0,X9,X7)
| ~ of(esk1_0,X10,X5)
| ~ of(esk1_0,X11,X4)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ state(esk1_0,X6)
| ~ man(esk1_0,X7)
| ~ man(esk1_0,X5)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X8)
| ~ vincent_forename(esk1_0,X11)
| ~ jules_forename(esk1_0,X9)
| ~ jules_forename(esk1_0,X10) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_36,negated_conjecture,
be(esk1_0,esk8_0,esk7_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_37,negated_conjecture,
state(esk1_0,esk8_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_38,negated_conjecture,
man(esk1_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_39,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,X1,X4)
| ~ agent(X2,X3,X5)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ of(esk1_0,X6,esk2_0)
| ~ of(esk1_0,X7,esk7_0)
| ~ of(esk1_0,X8,X5)
| ~ of(esk1_0,X9,X4)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ man(esk1_0,X5)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X6)
| ~ vincent_forename(esk1_0,X9)
| ~ jules_forename(esk1_0,X7)
| ~ jules_forename(esk1_0,X8) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),c_0_38])]) ).
cnf(c_0_40,negated_conjecture,
of(esk1_0,esk3_0,esk2_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_41,negated_conjecture,
vincent_forename(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_42,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,X1,X4)
| ~ agent(X2,X3,X5)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ of(esk1_0,X6,esk7_0)
| ~ of(esk1_0,X7,X5)
| ~ of(esk1_0,X8,X4)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ man(esk1_0,X5)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X8)
| ~ jules_forename(esk1_0,X6)
| ~ jules_forename(esk1_0,X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41])]) ).
cnf(c_0_43,negated_conjecture,
of(esk1_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_44,negated_conjecture,
jules_forename(esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_45,negated_conjecture,
( ~ present(esk1_0,X1)
| ~ present(X2,X3)
| ~ agent(esk1_0,X1,X4)
| ~ agent(X2,X3,X5)
| ~ think_believe_consider(esk1_0,X1)
| ~ theme(esk1_0,X1,X2)
| ~ of(esk1_0,X6,X5)
| ~ of(esk1_0,X7,X4)
| ~ accessible_world(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ proposition(esk1_0,X2)
| ~ event(esk1_0,X1)
| ~ man(esk1_0,X5)
| ~ man(esk1_0,X4)
| ~ vincent_forename(esk1_0,X7)
| ~ jules_forename(esk1_0,X6) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_46,negated_conjecture,
( ~ present(X1,X2)
| ~ agent(X1,X2,X3)
| ~ theme(esk1_0,esk4_0,X1)
| ~ of(esk1_0,X4,esk2_0)
| ~ of(esk1_0,X5,X3)
| ~ accessible_world(esk1_0,X1)
| ~ smoke(X1,X2)
| ~ proposition(esk1_0,X1)
| ~ man(esk1_0,X3)
| ~ vincent_forename(esk1_0,X4)
| ~ jules_forename(esk1_0,X5) ),
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_45,c_0_33]),c_0_27]),c_0_28]),c_0_31]),c_0_34])]) ).
fof(c_0_47,plain,
! [X346,X347,X348] :
( ~ accessible_world(X347,X348)
| ~ man(X347,X346)
| man(X348,X346) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])]) ).
cnf(c_0_48,negated_conjecture,
( ~ present(esk5_0,X1)
| ~ agent(esk5_0,X1,X2)
| ~ of(esk1_0,X3,esk2_0)
| ~ of(esk1_0,X4,X2)
| ~ smoke(esk5_0,X1)
| ~ man(esk1_0,X2)
| ~ vincent_forename(esk1_0,X3)
| ~ jules_forename(esk1_0,X4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_25]),c_0_29]),c_0_30])]) ).
cnf(c_0_49,plain,
( man(X2,X3)
| ~ accessible_world(X1,X2)
| ~ man(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_50,negated_conjecture,
( ~ present(esk5_0,X1)
| ~ agent(esk5_0,X1,X2)
| ~ of(esk1_0,X3,X2)
| ~ smoke(esk5_0,X1)
| ~ man(esk1_0,X2)
| ~ jules_forename(esk1_0,X3) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_40]),c_0_41])]) ).
cnf(c_0_51,negated_conjecture,
( man(esk5_0,X1)
| ~ man(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_49,c_0_29]) ).
cnf(c_0_52,negated_conjecture,
( ~ present(esk5_0,esk9_1(X1))
| ~ of(esk1_0,X2,X1)
| ~ smoke(esk5_0,esk9_1(X1))
| ~ man(esk1_0,X1)
| ~ jules_forename(esk1_0,X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_18]),c_0_51]) ).
cnf(c_0_53,negated_conjecture,
( ~ of(esk1_0,X1,X2)
| ~ smoke(esk5_0,esk9_1(X2))
| ~ man(esk1_0,X2)
| ~ jules_forename(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_21]),c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( ~ of(esk1_0,X1,X2)
| ~ man(esk1_0,X2)
| ~ jules_forename(esk1_0,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_23]),c_0_51]) ).
cnf(c_0_55,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_43]),c_0_38]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NLP251+1 : TPTP v9.2.1. Released v2.4.0.
% 0.00/0.12 % 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
% 0.14/0.32 % Computer : n015.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
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Tue May 5 00:03:32 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 1.34/1.72 % Version : CSE_E---1.7
% 1.34/1.72 % Problem : theBenchmark.p
% 1.34/1.72 % SZS status Theorem for theBenchmark.p
% 1.34/1.72 % SZS output start CNFRefutation
% See solution above
% 1.34/1.73 % Total time : 1.370s
%------------------------------------------------------------------------------