%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : NLP257+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:35:58 PM UTC 2026
% Result : Theorem 0.27s 0.70s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 55 ( 17 unt; 0 def)
% Number of atoms : 727 ( 0 equ)
% Maximal formula atoms : 106 ( 13 avg)
% Number of connectives : 1207 ( 535 ~; 513 |; 151 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 82 ( 13 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; 0-13 aty)
% Number of variables : 281 ( 0 sgn 38 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ~ ? [X11] :
( ? [X12,X13,X14,X2,X3,X4,X5,X6,X7,X8,X15,X16] :
( ? [X17] :
( smoke(X16,X17)
& present(X16,X17)
& agent(X16,X17,X12)
& event(X16,X17) )
& accessible_world(X11,X16)
& think_believe_consider(X11,X15)
& present(X11,X15)
& event(X11,X15)
& theme(X11,X15,X16)
& agent(X11,X15,X2)
& proposition(X11,X16)
& be(X11,X8,X7,X7)
& state(X11,X8)
& man(X11,X7)
& forename(X11,X6)
& jules_forename(X11,X6)
& man(X11,X7)
& of(X11,X6,X7)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( smoke(X5,X10)
& present(X5,X10)
& agent(X5,X10,X9)
& event(X5,X10) ) )
& accessible_world(X11,X5)
& think_believe_consider(X11,X4)
& present(X11,X4)
& event(X11,X4)
& theme(X11,X4,X5)
& agent(X11,X4,X2)
& proposition(X11,X5)
& forename(X11,X3)
& vincent_forename(X11,X3)
& man(X11,X2)
& of(X11,X3,X2)
& forename(X11,X14)
& vincent_forename(X11,X14)
& of(X11,X14,X2)
& forename(X11,X13)
& jules_forename(X11,X13)
& man(X11,X12)
& of(X11,X13,X12) )
& actual_world(X11) )
& ? [X1] :
( ? [X2,X3,X4,X5,X6,X7,X8] :
( be(X1,X8,X7,X7)
& state(X1,X8)
& man(X1,X7)
& forename(X1,X6)
& jules_forename(X1,X6)
& man(X1,X7)
& of(X1,X6,X7)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( smoke(X5,X10)
& present(X5,X10)
& agent(X5,X10,X9)
& event(X5,X10) ) )
& accessible_world(X1,X5)
& think_believe_consider(X1,X4)
& present(X1,X4)
& event(X1,X4)
& theme(X1,X4,X5)
& agent(X1,X4,X2)
& proposition(X1,X5)
& forename(X1,X3)
& vincent_forename(X1,X3)
& man(X1,X2)
& of(X1,X3,X2) )
& actual_world(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(ax1,axiom,
! [X1,X2] :
( jules_forename(X1,X2)
=> forename(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(ax2,axiom,
! [X1,X2] :
( vincent_forename(X1,X2)
=> forename(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(ax30,axiom,
! [X1,X2] :
( smoke(X1,X2)
=> event(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(ax49,axiom,
! [X1,X2,X3] :
( ( man(X2,X1)
& accessible_world(X2,X3) )
=> man(X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(c_0_5,negated_conjecture,
~ ~ ( ~ ? [X11] :
( ? [X12,X13,X14,X2,X3,X4,X5,X6,X7,X8,X15,X16] :
( ? [X17] :
( smoke(X16,X17)
& present(X16,X17)
& agent(X16,X17,X12)
& event(X16,X17) )
& accessible_world(X11,X16)
& think_believe_consider(X11,X15)
& present(X11,X15)
& event(X11,X15)
& theme(X11,X15,X16)
& agent(X11,X15,X2)
& proposition(X11,X16)
& be(X11,X8,X7,X7)
& state(X11,X8)
& man(X11,X7)
& forename(X11,X6)
& jules_forename(X11,X6)
& man(X11,X7)
& of(X11,X6,X7)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( smoke(X5,X10)
& present(X5,X10)
& agent(X5,X10,X9)
& event(X5,X10) ) )
& accessible_world(X11,X5)
& think_believe_consider(X11,X4)
& present(X11,X4)
& event(X11,X4)
& theme(X11,X4,X5)
& agent(X11,X4,X2)
& proposition(X11,X5)
& forename(X11,X3)
& vincent_forename(X11,X3)
& man(X11,X2)
& of(X11,X3,X2)
& forename(X11,X14)
& vincent_forename(X11,X14)
& of(X11,X14,X2)
& forename(X11,X13)
& jules_forename(X11,X13)
& man(X11,X12)
& of(X11,X13,X12) )
& actual_world(X11) )
& ? [X1] :
( ? [X2,X3,X4,X5,X6,X7,X8] :
( be(X1,X8,X7,X7)
& state(X1,X8)
& man(X1,X7)
& forename(X1,X6)
& jules_forename(X1,X6)
& man(X1,X7)
& of(X1,X6,X7)
& ! [X9] :
( man(X5,X9)
=> ? [X10] :
( smoke(X5,X10)
& present(X5,X10)
& agent(X5,X10,X9)
& event(X5,X10) ) )
& accessible_world(X1,X5)
& think_believe_consider(X1,X4)
& present(X1,X4)
& event(X1,X4)
& theme(X1,X4,X5)
& agent(X1,X4,X2)
& proposition(X1,X5)
& forename(X1,X3)
& vincent_forename(X1,X3)
& man(X1,X2)
& of(X1,X3,X2) )
& actual_world(X1) ) ),
inference(assume_negation,[status(cth)],[co1]) ).
fof(c_0_6,negated_conjecture,
! [X26,X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X42,X43] :
( ( ~ actual_world(X28)
| ~ smoke(X40,X43)
| ~ present(X40,X43)
| ~ agent(X40,X43,X29)
| ~ event(X40,X43)
| ~ accessible_world(X28,X40)
| ~ think_believe_consider(X28,X39)
| ~ present(X28,X39)
| ~ event(X28,X39)
| ~ theme(X28,X39,X40)
| ~ agent(X28,X39,X32)
| ~ proposition(X28,X40)
| ~ be(X28,X38,X37,X37)
| ~ state(X28,X38)
| ~ man(X28,X37)
| ~ forename(X28,X36)
| ~ jules_forename(X28,X36)
| ~ man(X28,X37)
| ~ of(X28,X36,X37)
| ~ accessible_world(X28,X35)
| ~ think_believe_consider(X28,X34)
| ~ present(X28,X34)
| ~ event(X28,X34)
| ~ theme(X28,X34,X35)
| ~ agent(X28,X34,X32)
| ~ proposition(X28,X35)
| ~ forename(X28,X33)
| ~ vincent_forename(X28,X33)
| ~ man(X28,X32)
| ~ of(X28,X33,X32)
| ~ forename(X28,X31)
| ~ vincent_forename(X28,X31)
| ~ of(X28,X31,X32)
| ~ forename(X28,X30)
| ~ jules_forename(X28,X30)
| ~ man(X28,X29)
| ~ of(X28,X30,X29)
| ~ smoke(X35,X42)
| ~ present(X35,X42)
| ~ agent(X35,X42,esk10_13(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40))
| ~ event(X35,X42) )
& ( ~ actual_world(X28)
| ~ smoke(X40,X43)
| ~ present(X40,X43)
| ~ agent(X40,X43,X29)
| ~ event(X40,X43)
| ~ accessible_world(X28,X40)
| ~ think_believe_consider(X28,X39)
| ~ present(X28,X39)
| ~ event(X28,X39)
| ~ theme(X28,X39,X40)
| ~ agent(X28,X39,X32)
| ~ proposition(X28,X40)
| ~ be(X28,X38,X37,X37)
| ~ state(X28,X38)
| ~ man(X28,X37)
| ~ forename(X28,X36)
| ~ jules_forename(X28,X36)
| ~ man(X28,X37)
| ~ of(X28,X36,X37)
| ~ accessible_world(X28,X35)
| ~ think_believe_consider(X28,X34)
| ~ present(X28,X34)
| ~ event(X28,X34)
| ~ theme(X28,X34,X35)
| ~ agent(X28,X34,X32)
| ~ proposition(X28,X35)
| ~ forename(X28,X33)
| ~ vincent_forename(X28,X33)
| ~ man(X28,X32)
| ~ of(X28,X33,X32)
| ~ forename(X28,X31)
| ~ vincent_forename(X28,X31)
| ~ of(X28,X31,X32)
| ~ forename(X28,X30)
| ~ jules_forename(X28,X30)
| ~ man(X28,X29)
| ~ of(X28,X30,X29)
| man(X35,esk10_13(X28,X29,X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40)) )
& be(esk1_0,esk8_0,esk7_0,esk7_0)
& state(esk1_0,esk8_0)
& man(esk1_0,esk7_0)
& forename(esk1_0,esk6_0)
& jules_forename(esk1_0,esk6_0)
& man(esk1_0,esk7_0)
& of(esk1_0,esk6_0,esk7_0)
& ( ~ man(esk5_0,X26)
| smoke(esk5_0,esk9_1(X26)) )
& ( ~ man(esk5_0,X26)
| present(esk5_0,esk9_1(X26)) )
& ( ~ man(esk5_0,X26)
| agent(esk5_0,esk9_1(X26),X26) )
& ( ~ man(esk5_0,X26)
| event(esk5_0,esk9_1(X26)) )
& accessible_world(esk1_0,esk5_0)
& think_believe_consider(esk1_0,esk4_0)
& present(esk1_0,esk4_0)
& event(esk1_0,esk4_0)
& theme(esk1_0,esk4_0,esk5_0)
& agent(esk1_0,esk4_0,esk2_0)
& proposition(esk1_0,esk5_0)
& forename(esk1_0,esk3_0)
& vincent_forename(esk1_0,esk3_0)
& man(esk1_0,esk2_0)
& of(esk1_0,esk3_0,esk2_0)
& actual_world(esk1_0) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[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,
( ~ actual_world(X3)
| ~ smoke(X14,X15)
| ~ present(X14,X15)
| ~ agent(X14,X15,X4)
| ~ event(X14,X15)
| ~ accessible_world(X3,X14)
| ~ think_believe_consider(X3,X13)
| ~ present(X3,X13)
| ~ event(X3,X13)
| ~ theme(X3,X13,X14)
| ~ agent(X3,X13,X7)
| ~ proposition(X3,X14)
| ~ be(X3,X12,X11,X11)
| ~ state(X3,X12)
| ~ man(X3,X11)
| ~ forename(X3,X10)
| ~ jules_forename(X3,X10)
| ~ man(X3,X11)
| ~ of(X3,X10,X11)
| ~ accessible_world(X3,X1)
| ~ think_believe_consider(X3,X9)
| ~ present(X3,X9)
| ~ event(X3,X9)
| ~ theme(X3,X9,X1)
| ~ agent(X3,X9,X7)
| ~ proposition(X3,X1)
| ~ forename(X3,X8)
| ~ vincent_forename(X3,X8)
| ~ man(X3,X7)
| ~ of(X3,X8,X7)
| ~ forename(X3,X6)
| ~ vincent_forename(X3,X6)
| ~ of(X3,X6,X7)
| ~ forename(X3,X5)
| ~ jules_forename(X3,X5)
| ~ man(X3,X4)
| ~ of(X3,X5,X4)
| ~ smoke(X1,X2)
| ~ present(X1,X2)
| ~ agent(X1,X2,esk10_13(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14))
| ~ event(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X105,X106] :
( forename(X105,X106)
| ~ jules_forename(X105,X106) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1])])]) ).
fof(c_0_9,plain,
! [X118,X119] :
( forename(X118,X119)
| ~ vincent_forename(X118,X119) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2])])]) ).
fof(c_0_10,plain,
! [X44,X45] :
( event(X44,X45)
| ~ smoke(X44,X45) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax30])])]) ).
cnf(c_0_11,negated_conjecture,
( ~ actual_world(X2)
| ~ smoke(X13,X14)
| ~ present(X13,X14)
| ~ agent(X13,X14,X3)
| ~ event(X13,X14)
| ~ accessible_world(X2,X13)
| ~ think_believe_consider(X2,X12)
| ~ present(X2,X12)
| ~ event(X2,X12)
| ~ theme(X2,X12,X13)
| ~ agent(X2,X12,X6)
| ~ proposition(X2,X13)
| ~ be(X2,X11,X10,X10)
| ~ state(X2,X11)
| ~ man(X2,X10)
| ~ forename(X2,X9)
| ~ jules_forename(X2,X9)
| ~ man(X2,X10)
| ~ of(X2,X9,X10)
| ~ accessible_world(X2,X1)
| ~ think_believe_consider(X2,X8)
| ~ present(X2,X8)
| ~ event(X2,X8)
| ~ theme(X2,X8,X1)
| ~ agent(X2,X8,X6)
| ~ proposition(X2,X1)
| ~ forename(X2,X7)
| ~ vincent_forename(X2,X7)
| ~ man(X2,X6)
| ~ of(X2,X7,X6)
| ~ forename(X2,X5)
| ~ vincent_forename(X2,X5)
| ~ of(X2,X5,X6)
| ~ forename(X2,X4)
| ~ jules_forename(X2,X4)
| ~ man(X2,X3)
| ~ of(X2,X4,X3)
| man(X1,esk10_13(X2,X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
( ~ agent(X1,X2,esk10_13(X3,X4,X5,X6,X7,X8,X9,X1,X10,X11,X12,X13,X14))
| ~ be(X3,X12,X11,X11)
| ~ agent(X3,X9,X7)
| ~ agent(X3,X13,X7)
| ~ agent(X14,X15,X4)
| ~ theme(X3,X9,X1)
| ~ theme(X3,X13,X14)
| ~ of(X3,X5,X4)
| ~ of(X3,X6,X7)
| ~ of(X3,X8,X7)
| ~ of(X3,X10,X11)
| ~ present(X1,X2)
| ~ present(X3,X9)
| ~ present(X3,X13)
| ~ present(X14,X15)
| ~ think_believe_consider(X3,X9)
| ~ think_believe_consider(X3,X13)
| ~ accessible_world(X3,X1)
| ~ accessible_world(X3,X14)
| ~ smoke(X1,X2)
| ~ smoke(X14,X15)
| ~ proposition(X3,X1)
| ~ proposition(X3,X14)
| ~ event(X1,X2)
| ~ event(X3,X9)
| ~ event(X3,X13)
| ~ event(X14,X15)
| ~ state(X3,X12)
| ~ man(X3,X4)
| ~ man(X3,X7)
| ~ man(X3,X11)
| ~ vincent_forename(X3,X6)
| ~ vincent_forename(X3,X8)
| ~ forename(X3,X5)
| ~ forename(X3,X6)
| ~ forename(X3,X8)
| ~ forename(X3,X10)
| ~ jules_forename(X3,X5)
| ~ jules_forename(X3,X10)
| ~ actual_world(X3) ),
inference(cn,[status(thm)],[c_0_7]) ).
cnf(c_0_13,plain,
( ~ jules_forename(X1,X2)
| forename(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( ~ vincent_forename(X1,X2)
| forename(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( ~ smoke(X1,X2)
| event(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( ~ be(X2,X11,X10,X10)
| ~ agent(X2,X8,X6)
| ~ agent(X2,X12,X6)
| ~ agent(X13,X14,X3)
| ~ theme(X2,X8,X1)
| ~ theme(X2,X12,X13)
| ~ of(X2,X4,X3)
| ~ of(X2,X5,X6)
| ~ of(X2,X7,X6)
| ~ of(X2,X9,X10)
| ~ present(X2,X8)
| ~ present(X2,X12)
| ~ present(X13,X14)
| ~ think_believe_consider(X2,X8)
| ~ think_believe_consider(X2,X12)
| ~ accessible_world(X2,X1)
| ~ accessible_world(X2,X13)
| ~ smoke(X13,X14)
| ~ proposition(X2,X1)
| ~ proposition(X2,X13)
| ~ event(X2,X8)
| ~ event(X2,X12)
| ~ event(X13,X14)
| ~ state(X2,X11)
| ~ man(X2,X3)
| ~ man(X2,X6)
| ~ man(X2,X10)
| ~ vincent_forename(X2,X5)
| ~ vincent_forename(X2,X7)
| ~ forename(X2,X4)
| ~ forename(X2,X5)
| ~ forename(X2,X7)
| ~ forename(X2,X9)
| ~ jules_forename(X2,X4)
| ~ jules_forename(X2,X9)
| ~ actual_world(X2)
| man(X1,esk10_13(X2,X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13)) ),
inference(cn,[status(thm)],[c_0_11]) ).
cnf(c_0_17,negated_conjecture,
( ~ jules_forename(X1,X9)
| ~ jules_forename(X1,X13)
| ~ vincent_forename(X1,X10)
| ~ vincent_forename(X1,X12)
| ~ man(X1,X8)
| ~ man(X1,X11)
| ~ man(X1,X14)
| ~ state(X1,X15)
| ~ event(X1,X5)
| ~ event(X1,X4)
| ~ proposition(X1,X6)
| ~ proposition(X1,X2)
| ~ smoke(X6,X7)
| ~ smoke(X2,X3)
| ~ accessible_world(X1,X6)
| ~ accessible_world(X1,X2)
| ~ of(X1,X9,X8)
| ~ of(X1,X10,X11)
| ~ of(X1,X12,X11)
| ~ of(X1,X13,X14)
| ~ be(X1,X15,X14,X14)
| ~ theme(X1,X5,X6)
| ~ theme(X1,X4,X2)
| ~ think_believe_consider(X1,X5)
| ~ think_believe_consider(X1,X4)
| ~ agent(X1,X5,X11)
| ~ agent(X1,X4,X11)
| ~ agent(X2,X3,X8)
| ~ agent(X6,X7,esk10_13(X1,X8,X9,X10,X11,X12,X5,X6,X13,X14,X15,X4,X2))
| ~ present(X6,X7)
| ~ present(X1,X5)
| ~ present(X1,X4)
| ~ present(X2,X3)
| ~ actual_world(X1) ),
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_14]),c_0_13]),c_0_15]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( ~ man(esk5_0,X1)
| agent(esk5_0,esk9_1(X1),X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( ~ jules_forename(X2,X4)
| ~ jules_forename(X2,X9)
| ~ vincent_forename(X2,X5)
| ~ vincent_forename(X2,X7)
| ~ man(X2,X3)
| ~ man(X2,X6)
| ~ man(X2,X10)
| ~ state(X2,X11)
| ~ event(X2,X8)
| ~ event(X2,X12)
| ~ proposition(X2,X1)
| ~ proposition(X2,X13)
| ~ smoke(X13,X14)
| ~ accessible_world(X2,X1)
| ~ accessible_world(X2,X13)
| ~ of(X2,X4,X3)
| ~ of(X2,X5,X6)
| ~ of(X2,X7,X6)
| ~ of(X2,X9,X10)
| ~ be(X2,X11,X10,X10)
| ~ theme(X2,X8,X1)
| ~ theme(X2,X12,X13)
| ~ think_believe_consider(X2,X8)
| ~ think_believe_consider(X2,X12)
| ~ agent(X2,X8,X6)
| ~ agent(X2,X12,X6)
| ~ agent(X13,X14,X3)
| ~ present(X2,X8)
| ~ present(X2,X12)
| ~ present(X13,X14)
| ~ actual_world(X2)
| man(X1,esk10_13(X2,X3,X4,X5,X6,X7,X8,X1,X9,X10,X11,X12,X13)) ),
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_14]),c_0_13]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( ~ jules_forename(X1,X3)
| ~ jules_forename(X1,X8)
| ~ vincent_forename(X1,X4)
| ~ vincent_forename(X1,X6)
| ~ man(X1,X2)
| ~ man(X1,X5)
| ~ man(X1,X9)
| ~ state(X1,X10)
| ~ event(X1,X7)
| ~ event(X1,X11)
| ~ proposition(X1,X12)
| ~ proposition(X1,esk5_0)
| ~ smoke(X12,X13)
| ~ smoke(esk5_0,esk9_1(esk10_13(X1,X2,X3,X4,X5,X6,X7,esk5_0,X8,X9,X10,X11,X12)))
| ~ accessible_world(X1,X12)
| ~ accessible_world(X1,esk5_0)
| ~ of(X1,X3,X2)
| ~ of(X1,X4,X5)
| ~ of(X1,X6,X5)
| ~ of(X1,X8,X9)
| ~ be(X1,X10,X9,X9)
| ~ theme(X1,X11,X12)
| ~ theme(X1,X7,esk5_0)
| ~ think_believe_consider(X1,X7)
| ~ think_believe_consider(X1,X11)
| ~ agent(X1,X7,X5)
| ~ agent(X1,X11,X5)
| ~ agent(X12,X13,X2)
| ~ present(X1,X7)
| ~ present(X1,X11)
| ~ present(X12,X13)
| ~ present(esk5_0,esk9_1(esk10_13(X1,X2,X3,X4,X5,X6,X7,esk5_0,X8,X9,X10,X11,X12)))
| ~ actual_world(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_21,negated_conjecture,
( ~ man(esk5_0,X1)
| smoke(esk5_0,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_22,negated_conjecture,
( ~ jules_forename(X1,X3)
| ~ jules_forename(X1,X8)
| ~ vincent_forename(X1,X4)
| ~ vincent_forename(X1,X6)
| ~ man(X1,X2)
| ~ man(X1,X5)
| ~ man(X1,X9)
| ~ state(X1,X10)
| ~ event(X1,X7)
| ~ event(X1,X11)
| ~ proposition(X1,X12)
| ~ proposition(X1,esk5_0)
| ~ smoke(X12,X13)
| ~ accessible_world(X1,X12)
| ~ accessible_world(X1,esk5_0)
| ~ of(X1,X3,X2)
| ~ of(X1,X4,X5)
| ~ of(X1,X6,X5)
| ~ of(X1,X8,X9)
| ~ be(X1,X10,X9,X9)
| ~ theme(X1,X11,X12)
| ~ theme(X1,X7,esk5_0)
| ~ think_believe_consider(X1,X7)
| ~ think_believe_consider(X1,X11)
| ~ agent(X1,X7,X5)
| ~ agent(X1,X11,X5)
| ~ agent(X12,X13,X2)
| ~ present(X1,X7)
| ~ present(X1,X11)
| ~ present(X12,X13)
| ~ present(esk5_0,esk9_1(esk10_13(X1,X2,X3,X4,X5,X6,X7,esk5_0,X8,X9,X10,X11,X12)))
| ~ actual_world(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
( ~ man(esk5_0,X1)
| present(esk5_0,esk9_1(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_24,negated_conjecture,
( ~ jules_forename(X1,X13)
| ~ jules_forename(X1,X10)
| ~ vincent_forename(X1,X12)
| ~ vincent_forename(X1,X11)
| ~ man(X1,X6)
| ~ man(X1,X7)
| ~ man(X1,X9)
| ~ state(X1,X8)
| ~ event(X1,X5)
| ~ event(X1,X4)
| ~ proposition(X1,X2)
| ~ proposition(X1,esk5_0)
| ~ smoke(X2,X3)
| ~ accessible_world(X1,X2)
| ~ accessible_world(X1,esk5_0)
| ~ of(X1,X13,X6)
| ~ of(X1,X12,X7)
| ~ of(X1,X11,X7)
| ~ of(X1,X10,X9)
| ~ be(X1,X8,X9,X9)
| ~ theme(X1,X4,X2)
| ~ theme(X1,X5,esk5_0)
| ~ think_believe_consider(X1,X5)
| ~ think_believe_consider(X1,X4)
| ~ agent(X1,X5,X7)
| ~ agent(X1,X4,X7)
| ~ agent(X2,X3,X6)
| ~ present(X1,X5)
| ~ present(X1,X4)
| ~ present(X2,X3)
| ~ actual_world(X1) ),
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,
( ~ jules_forename(esk1_0,X11)
| ~ jules_forename(esk1_0,X8)
| ~ vincent_forename(esk1_0,X10)
| ~ vincent_forename(esk1_0,X9)
| ~ man(esk1_0,X5)
| ~ man(esk1_0,X4)
| ~ man(esk1_0,X7)
| ~ state(esk1_0,X6)
| ~ event(esk1_0,X1)
| ~ proposition(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ accessible_world(esk1_0,X2)
| ~ of(esk1_0,X11,X5)
| ~ of(esk1_0,X10,X4)
| ~ of(esk1_0,X9,X4)
| ~ of(esk1_0,X8,X7)
| ~ be(esk1_0,X6,X7,X7)
| ~ theme(esk1_0,X1,X2)
| ~ think_believe_consider(esk1_0,X1)
| ~ agent(X2,X3,X5)
| ~ agent(esk1_0,X1,X4)
| ~ agent(esk1_0,esk4_0,X4)
| ~ present(X2,X3)
| ~ present(esk1_0,X1) ),
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,
( ~ jules_forename(esk1_0,X10)
| ~ jules_forename(esk1_0,X9)
| ~ vincent_forename(esk1_0,X8)
| ~ vincent_forename(esk1_0,X7)
| ~ man(esk1_0,X4)
| ~ man(esk1_0,X6)
| ~ state(esk1_0,X5)
| ~ event(esk1_0,X1)
| ~ proposition(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ accessible_world(esk1_0,X2)
| ~ of(esk1_0,X10,X4)
| ~ of(esk1_0,X9,X6)
| ~ of(esk1_0,X8,esk2_0)
| ~ of(esk1_0,X7,esk2_0)
| ~ be(esk1_0,X5,X6,X6)
| ~ theme(esk1_0,X1,X2)
| ~ think_believe_consider(esk1_0,X1)
| ~ agent(X2,X3,X4)
| ~ agent(esk1_0,X1,esk2_0)
| ~ present(X2,X3)
| ~ present(esk1_0,X1) ),
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]) ).
fof(c_0_39,plain,
! [X99,X100,X101] :
( man(X101,X99)
| ~ man(X100,X99)
| ~ accessible_world(X100,X101) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax49])])]) ).
cnf(c_0_40,negated_conjecture,
( ~ jules_forename(esk1_0,X8)
| ~ jules_forename(esk1_0,X7)
| ~ vincent_forename(esk1_0,X6)
| ~ vincent_forename(esk1_0,X5)
| ~ man(esk1_0,X4)
| ~ event(esk1_0,X1)
| ~ proposition(esk1_0,X2)
| ~ smoke(X2,X3)
| ~ accessible_world(esk1_0,X2)
| ~ of(esk1_0,X8,X4)
| ~ of(esk1_0,X7,esk7_0)
| ~ of(esk1_0,X6,esk2_0)
| ~ of(esk1_0,X5,esk2_0)
| ~ theme(esk1_0,X1,X2)
| ~ think_believe_consider(esk1_0,X1)
| ~ agent(X2,X3,X4)
| ~ agent(esk1_0,X1,esk2_0)
| ~ present(X2,X3)
| ~ present(esk1_0,X1) ),
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_41,plain,
( ~ man(X1,X3)
| ~ accessible_world(X1,X2)
| man(X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_42,negated_conjecture,
( ~ jules_forename(esk1_0,X6)
| ~ jules_forename(esk1_0,X5)
| ~ vincent_forename(esk1_0,X4)
| ~ vincent_forename(esk1_0,X3)
| ~ man(esk1_0,X2)
| ~ smoke(esk5_0,X1)
| ~ of(esk1_0,X6,X2)
| ~ of(esk1_0,X5,esk7_0)
| ~ of(esk1_0,X4,esk2_0)
| ~ of(esk1_0,X3,esk2_0)
| ~ agent(esk5_0,X1,X2)
| ~ present(esk5_0,X1) ),
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_40,c_0_25]),c_0_27]),c_0_33]),c_0_28]),c_0_29]),c_0_30]),c_0_31])]) ).
cnf(c_0_43,negated_conjecture,
( ~ man(esk1_0,X1)
| man(esk5_0,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_29]) ).
cnf(c_0_44,negated_conjecture,
( ~ jules_forename(esk1_0,X5)
| ~ jules_forename(esk1_0,X4)
| ~ vincent_forename(esk1_0,X3)
| ~ vincent_forename(esk1_0,X2)
| ~ man(esk1_0,X1)
| ~ smoke(esk5_0,esk9_1(X1))
| ~ of(esk1_0,X5,X1)
| ~ of(esk1_0,X4,esk7_0)
| ~ of(esk1_0,X3,esk2_0)
| ~ of(esk1_0,X2,esk2_0)
| ~ present(esk5_0,esk9_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_18]),c_0_43]) ).
cnf(c_0_45,negated_conjecture,
( ~ jules_forename(esk1_0,X5)
| ~ jules_forename(esk1_0,X4)
| ~ vincent_forename(esk1_0,X3)
| ~ vincent_forename(esk1_0,X2)
| ~ man(esk1_0,X1)
| ~ of(esk1_0,X5,X1)
| ~ of(esk1_0,X4,esk7_0)
| ~ of(esk1_0,X3,esk2_0)
| ~ of(esk1_0,X2,esk2_0)
| ~ present(esk5_0,esk9_1(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_21]),c_0_43]) ).
cnf(c_0_46,negated_conjecture,
( ~ jules_forename(esk1_0,X4)
| ~ jules_forename(esk1_0,X3)
| ~ vincent_forename(esk1_0,X2)
| ~ vincent_forename(esk1_0,X1)
| ~ man(esk1_0,X5)
| ~ of(esk1_0,X4,X5)
| ~ of(esk1_0,X3,esk7_0)
| ~ of(esk1_0,X2,esk2_0)
| ~ of(esk1_0,X1,esk2_0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_23]),c_0_43]) ).
cnf(c_0_47,negated_conjecture,
of(esk1_0,esk6_0,esk7_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_48,negated_conjecture,
jules_forename(esk1_0,esk6_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_49,negated_conjecture,
( ~ jules_forename(esk1_0,X3)
| ~ vincent_forename(esk1_0,X2)
| ~ vincent_forename(esk1_0,X1)
| ~ of(esk1_0,X3,esk7_0)
| ~ of(esk1_0,X2,esk2_0)
| ~ of(esk1_0,X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_38]),c_0_48])]) ).
cnf(c_0_50,negated_conjecture,
vincent_forename(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
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,
( ~ jules_forename(esk1_0,X2)
| ~ vincent_forename(esk1_0,X1)
| ~ of(esk1_0,X2,esk7_0)
| ~ of(esk1_0,X1,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_53,negated_conjecture,
( ~ jules_forename(esk1_0,X1)
| ~ of(esk1_0,X1,esk7_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_50]),c_0_51])]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_48]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP257+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 01:58:22 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.53 Running first-order theorem proving
% 0.26/0.53 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.27/0.70 % Version: 3.5.1
% 0.27/0.70 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.70 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.70 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.70 % Starting new_bool_1 with 300s (1) cores
% 0.27/0.70 % Starting sh5l with 300s (1) cores
% 0.27/0.70 % new_bool_3 with pid 1126334 completed with status 0
% 0.27/0.70 % Result found by new_bool_3
% 0.27/0.70 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.70 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.70 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.70 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.70 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.70 % Search class: FHHSF-FFMM33-SFFFFFNN
% 0.27/0.70 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.70 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.70 % SubtermCWHack with pid 1126342 completed with status 0
% 0.27/0.70 % Result found by SubtermCWHack
% 0.27/0.70 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.27/0.70 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.27/0.70 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.27/0.70 % Starting new_bool_3 with 300s (1) cores
% 0.27/0.70 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.27/0.70 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.27/0.70 % Search class: FHHSF-FFMM33-SFFFFFNN
% 0.27/0.70 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.27/0.70 % Starting SubtermCWHack with 31s (1) cores
% 0.27/0.70 % Preprocessing time : 0.003 s
% 0.27/0.70
% 0.27/0.70 % Proof found!
% 0.27/0.70 % SZS status Theorem
% 0.27/0.70 % SZS output start CNFRefutation
% See solution above
% 0.27/0.70 % Parsed axioms : 72
% 0.27/0.70 % Removed by relevancy pruning/SinE : 20
% 0.27/0.70 % Initial clauses : 76
% 0.27/0.70 % Removed in clause preprocessing : 0
% 0.27/0.70 % Initial clauses in saturation : 76
% 0.27/0.70 % Processed clauses : 266
% 0.27/0.70 % ...of these trivial : 1
% 0.27/0.70 % ...subsumed : 41
% 0.27/0.70 % ...remaining for further processing : 224
% 0.27/0.70 % Other redundant clauses eliminated : 0
% 0.27/0.70 % Clauses deleted for lack of memory : 0
% 0.27/0.70 % Backward-subsumed : 18
% 0.27/0.70 % Backward-rewritten : 0
% 0.27/0.70 % Generated clauses : 215
% 0.27/0.70 % ...of the previous two non-redundant : 212
% 0.27/0.70 % ...aggressively subsumed : 0
% 0.27/0.70 % Contextual simplify-reflections : 24
% 0.27/0.70 % Paramodulations : 215
% 0.27/0.70 % Factorizations : 0
% 0.27/0.70 % NegExts : 0
% 0.27/0.70 % Equation resolutions : 0
% 0.27/0.70 % Disequality decompositions : 0
% 0.27/0.70 % Total rewrite steps : 81
% 0.27/0.70 % ...of those cached : 66
% 0.27/0.70 % Propositional unsat checks : 0
% 0.27/0.70 % Propositional check models : 0
% 0.27/0.70 % Propositional check unsatisfiable : 0
% 0.27/0.70 % Propositional clauses : 0
% 0.27/0.70 % Propositional clauses after purity: 0
% 0.27/0.70 % Propositional unsat core size : 0
% 0.27/0.70 % Propositional preprocessing time : 0.000
% 0.27/0.70 % Propositional encoding time : 0.000
% 0.27/0.70 % Propositional solver time : 0.000
% 0.27/0.70 % Success case prop preproc time : 0.000
% 0.27/0.70 % Success case prop encoding time : 0.000
% 0.27/0.70 % Success case prop solver time : 0.000
% 0.27/0.70 % Current number of processed clauses : 206
% 0.27/0.70 % Positive orientable unit clauses : 22
% 0.27/0.70 % Positive unorientable unit clauses: 0
% 0.27/0.70 % Negative unit clauses : 10
% 0.27/0.70 % Non-unit-clauses : 174
% 0.27/0.70 % Current number of unprocessed clauses: 20
% 0.27/0.70 % ...number of literals in the above : 367
% 0.27/0.70 % Current number of archived formulas : 0
% 0.27/0.70 % Current number of archived clauses : 18
% 0.27/0.70 % Clause-clause subsumption calls (NU) : 116474
% 0.27/0.70 % Rec. Clause-clause subsumption calls : 8241
% 0.27/0.70 % Non-unit clause-clause subsumptions : 70
% 0.27/0.70 % Unit Clause-clause subsumption calls : 237
% 0.27/0.70 % Rewrite failures with RHS unbound : 0
% 0.27/0.70 % BW rewrite match attempts : 0
% 0.27/0.70 % BW rewrite match successes : 0
% 0.27/0.70 % Condensation attempts : 0
% 0.27/0.70 % Condensation successes : 0
% 0.27/0.70 % Termbank termtop insertions : 17012
% 0.27/0.70 % Search garbage collected termcells : 1706
% 0.27/0.70
% 0.27/0.70 % -------------------------------------------------
% 0.27/0.70 % User time : 0.071 s
% 0.27/0.70 % System time : 0.006 s
% 0.27/0.70 % Total time : 0.078 s
% 0.27/0.70 % Maximum resident set size: 4000 pages
% 0.27/0.70
% 0.27/0.70 % -------------------------------------------------
% 0.27/0.70 % User time : 0.075 s
% 0.27/0.70 % System time : 0.014 s
% 0.27/0.70 % Total time : 0.089 s
% 0.27/0.70 % Maximum resident set size: 4608 pages
% 0.27/0.70 % E exiting
%------------------------------------------------------------------------------