%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : NLP122-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 : Sun Sep 27 08:07:40 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.76s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 36
% Syntax : Number of formulae : 139 ( 7 unt; 0 def)
% Number of atoms : 1055 ( 0 equ)
% Maximal formula atoms : 18 ( 7 avg)
% Number of connectives : 1579 ( 663 ~; 916 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 2 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 72 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause35,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ssSkC0
| ~ actual_world(VAR_0)
| ~ placename(VAR_0,VAR_4)
| ~ hollywood_placename(VAR_0,VAR_4)
| ~ of(VAR_0,VAR_4,VAR_3)
| ~ city(VAR_0,VAR_3)
| ~ chevy(VAR_0,VAR_3)
| ~ white(VAR_0,VAR_3)
| ~ dirty(VAR_0,VAR_3)
| ~ old(VAR_0,VAR_3)
| ~ agent(VAR_0,VAR_1,VAR_3)
| ~ in(VAR_0,VAR_1,VAR_3)
| ~ street(VAR_0,VAR_2)
| ~ lonely(VAR_0,VAR_2)
| ~ down(VAR_0,VAR_1,VAR_2)
| ~ barrel(VAR_0,VAR_1)
| ~ present(VAR_0,VAR_1)
| ~ event(VAR_0,VAR_1) ),
file('theBenchmark.p',clause35) ).
cnf(c_1,plain,
( ssSkC0
| ~ actual_world(A)
| ~ placename(A,E)
| ~ hollywood_placename(A,E)
| ~ of(A,E,D)
| ~ city(A,D)
| ~ chevy(A,D)
| ~ white(A,D)
| ~ dirty(A,D)
| ~ old(A,D)
| ~ agent(A,B,D)
| ~ in(A,B,D)
| ~ street(A,C)
| ~ lonely(A,C)
| ~ down(A,B,C)
| ~ barrel(A,B)
| ~ present(A,B)
| ~ event(A,B) ),
inference(clausify,[status(thm)],[clause35]) ).
fof(clause2,axiom,
actual_world(skc10),
file('theBenchmark.p',clause2) ).
cnf(c_2,plain,
actual_world(skc10),
inference(clausify,[status(thm)],[clause2]) ).
fof(clause1,axiom,
actual_world(skc15),
file('theBenchmark.p',clause1) ).
cnf(c_3,plain,
actual_world(skc15),
inference(clausify,[status(thm)],[clause1]) ).
fof(clause36,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ ssSkC0
| ~ actual_world(VAR_0)
| ~ street(VAR_0,VAR_4)
| ~ lonely(VAR_0,VAR_4)
| ~ down(VAR_0,VAR_2,VAR_4)
| ~ barrel(VAR_0,VAR_2)
| ~ present(VAR_0,VAR_2)
| ~ event(VAR_0,VAR_2)
| ~ of(VAR_0,VAR_3,VAR_1)
| ~ hollywood_placename(VAR_0,VAR_3)
| ~ placename(VAR_0,VAR_3)
| ~ in(VAR_0,VAR_2,VAR_1)
| ~ agent(VAR_0,VAR_2,VAR_1)
| ~ old(VAR_0,VAR_1)
| ~ dirty(VAR_0,VAR_1)
| ~ white(VAR_0,VAR_1)
| ~ chevy(VAR_0,VAR_1)
| ~ city(VAR_0,VAR_1) ),
file('theBenchmark.p',clause36) ).
cnf(c_4,plain,
( ~ ssSkC0
| ~ actual_world(A)
| ~ street(A,E)
| ~ lonely(A,E)
| ~ down(A,C,E)
| ~ barrel(A,C)
| ~ present(A,C)
| ~ event(A,C)
| ~ of(A,D,B)
| ~ hollywood_placename(A,D)
| ~ placename(A,D)
| ~ in(A,C,B)
| ~ agent(A,C,B)
| ~ old(A,B)
| ~ dirty(A,B)
| ~ white(A,B)
| ~ chevy(A,B)
| ~ city(A,B) ),
inference(clausify,[status(thm)],[clause36]) ).
fof(clause24,axiom,
( city(skc10,skc12)
| ~ ssSkC0 ),
file('theBenchmark.p',clause24) ).
cnf(c_5,plain,
( city(skc10,skc12)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause24]) ).
cnf(c_7,plain,
( ssSkC0
| ~ placename(skc15,D)
| ~ hollywood_placename(skc15,D)
| ~ of(skc15,D,C)
| ~ city(skc15,C)
| ~ chevy(skc15,C)
| ~ white(skc15,C)
| ~ dirty(skc15,C)
| ~ old(skc15,C)
| ~ agent(skc15,A,C)
| ~ in(skc15,A,C)
| ~ street(skc15,B)
| ~ lonely(skc15,B)
| ~ down(skc15,A,B)
| ~ barrel(skc15,A)
| ~ present(skc15,A)
| ~ event(skc15,A) ),
inference(resolve,[status(thm)],[c_1,c_3]) ).
cnf(c_8,plain,
( ~ ssSkC0
| ~ street(skc10,D)
| ~ lonely(skc10,D)
| ~ down(skc10,B,D)
| ~ barrel(skc10,B)
| ~ present(skc10,B)
| ~ event(skc10,B)
| ~ of(skc10,C,A)
| ~ hollywood_placename(skc10,C)
| ~ placename(skc10,C)
| ~ in(skc10,B,A)
| ~ agent(skc10,B,A)
| ~ old(skc10,A)
| ~ dirty(skc10,A)
| ~ white(skc10,A)
| ~ chevy(skc10,A)
| ~ city(skc10,A) ),
inference(resolve,[status(thm)],[c_4,c_2]) ).
fof(clause3,axiom,
( city(skc15,skc18)
| ssSkC0 ),
file('theBenchmark.p',clause3) ).
cnf(c_10,plain,
( city(skc15,skc18)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause3]) ).
fof(clause4,axiom,
( chevy(skc15,skc18)
| ssSkC0 ),
file('theBenchmark.p',clause4) ).
cnf(c_11,plain,
( chevy(skc15,skc18)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause4]) ).
cnf(c_12,plain,
( ~ ssSkC0
| ~ street(skc10,C)
| ~ lonely(skc10,C)
| ~ down(skc10,A,C)
| ~ barrel(skc10,A)
| ~ present(skc10,A)
| ~ event(skc10,A)
| ~ of(skc10,B,skc12)
| ~ hollywood_placename(skc10,B)
| ~ placename(skc10,B)
| ~ in(skc10,A,skc12)
| ~ agent(skc10,A,skc12)
| ~ old(skc10,skc12)
| ~ dirty(skc10,skc12)
| ~ white(skc10,skc12)
| ~ chevy(skc10,skc12)
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_5,c_8]) ).
cnf(c_13,plain,
( ssSkC0
| ~ placename(skc15,C)
| ~ hollywood_placename(skc15,C)
| ~ of(skc15,C,skc18)
| ~ chevy(skc15,skc18)
| ~ white(skc15,skc18)
| ~ dirty(skc15,skc18)
| ~ old(skc15,skc18)
| ~ agent(skc15,A,skc18)
| ~ in(skc15,A,skc18)
| ~ street(skc15,B)
| ~ lonely(skc15,B)
| ~ down(skc15,A,B)
| ~ barrel(skc15,A)
| ~ present(skc15,A)
| ~ event(skc15,A)
| ssSkC0 ),
inference(resolve,[status(thm)],[c_10,c_7]) ).
fof(clause23,axiom,
( chevy(skc10,skc12)
| ~ ssSkC0 ),
file('theBenchmark.p',clause23) ).
cnf(c_14,plain,
( chevy(skc10,skc12)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause23]) ).
fof(clause22,axiom,
( white(skc10,skc12)
| ~ ssSkC0 ),
file('theBenchmark.p',clause22) ).
cnf(c_15,plain,
( white(skc10,skc12)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause22]) ).
cnf(c_16,plain,
( ssSkC0
| ~ placename(skc15,C)
| ~ hollywood_placename(skc15,C)
| ~ of(skc15,C,skc18)
| ~ white(skc15,skc18)
| ~ dirty(skc15,skc18)
| ~ old(skc15,skc18)
| ~ agent(skc15,A,skc18)
| ~ in(skc15,A,skc18)
| ~ street(skc15,B)
| ~ lonely(skc15,B)
| ~ down(skc15,A,B)
| ~ barrel(skc15,A)
| ~ present(skc15,A)
| ~ event(skc15,A)
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_11,c_13]) ).
cnf(c_17,plain,
( ~ ssSkC0
| ~ street(skc10,C)
| ~ lonely(skc10,C)
| ~ down(skc10,A,C)
| ~ barrel(skc10,A)
| ~ present(skc10,A)
| ~ event(skc10,A)
| ~ of(skc10,B,skc12)
| ~ hollywood_placename(skc10,B)
| ~ placename(skc10,B)
| ~ in(skc10,A,skc12)
| ~ agent(skc10,A,skc12)
| ~ old(skc10,skc12)
| ~ dirty(skc10,skc12)
| ~ white(skc10,skc12)
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_14,c_12]) ).
fof(clause5,axiom,
( white(skc15,skc18)
| ssSkC0 ),
file('theBenchmark.p',clause5) ).
cnf(c_18,plain,
( white(skc15,skc18)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause5]) ).
fof(clause6,axiom,
( dirty(skc15,skc18)
| ssSkC0 ),
file('theBenchmark.p',clause6) ).
cnf(c_19,plain,
( dirty(skc15,skc18)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause6]) ).
cnf(c_20,plain,
( ~ ssSkC0
| ~ street(skc10,C)
| ~ lonely(skc10,C)
| ~ down(skc10,A,C)
| ~ barrel(skc10,A)
| ~ present(skc10,A)
| ~ event(skc10,A)
| ~ of(skc10,B,skc12)
| ~ hollywood_placename(skc10,B)
| ~ placename(skc10,B)
| ~ in(skc10,A,skc12)
| ~ agent(skc10,A,skc12)
| ~ old(skc10,skc12)
| ~ dirty(skc10,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_15,c_17]) ).
cnf(c_21,plain,
( ssSkC0
| ~ placename(skc15,C)
| ~ hollywood_placename(skc15,C)
| ~ of(skc15,C,skc18)
| ~ dirty(skc15,skc18)
| ~ old(skc15,skc18)
| ~ agent(skc15,A,skc18)
| ~ in(skc15,A,skc18)
| ~ street(skc15,B)
| ~ lonely(skc15,B)
| ~ down(skc15,A,B)
| ~ barrel(skc15,A)
| ~ present(skc15,A)
| ~ event(skc15,A)
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_18,c_16]) ).
fof(clause21,axiom,
( dirty(skc10,skc12)
| ~ ssSkC0 ),
file('theBenchmark.p',clause21) ).
cnf(c_22,plain,
( dirty(skc10,skc12)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause21]) ).
fof(clause20,axiom,
( old(skc10,skc12)
| ~ ssSkC0 ),
file('theBenchmark.p',clause20) ).
cnf(c_23,plain,
( old(skc10,skc12)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause20]) ).
cnf(c_24,plain,
( ssSkC0
| ~ placename(skc15,C)
| ~ hollywood_placename(skc15,C)
| ~ of(skc15,C,skc18)
| ~ old(skc15,skc18)
| ~ agent(skc15,A,skc18)
| ~ in(skc15,A,skc18)
| ~ street(skc15,B)
| ~ lonely(skc15,B)
| ~ down(skc15,A,B)
| ~ barrel(skc15,A)
| ~ present(skc15,A)
| ~ event(skc15,A)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_19,c_21]) ).
cnf(c_25,plain,
( ~ ssSkC0
| ~ street(skc10,C)
| ~ lonely(skc10,C)
| ~ down(skc10,A,C)
| ~ barrel(skc10,A)
| ~ present(skc10,A)
| ~ event(skc10,A)
| ~ of(skc10,B,skc12)
| ~ hollywood_placename(skc10,B)
| ~ placename(skc10,B)
| ~ in(skc10,A,skc12)
| ~ agent(skc10,A,skc12)
| ~ old(skc10,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_22,c_20]) ).
fof(clause7,axiom,
( old(skc15,skc18)
| ssSkC0 ),
file('theBenchmark.p',clause7) ).
cnf(c_26,plain,
( old(skc15,skc18)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause7]) ).
fof(clause8,axiom,
( placename(skc15,skc19)
| ssSkC0 ),
file('theBenchmark.p',clause8) ).
cnf(c_27,plain,
( placename(skc15,skc19)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause8]) ).
cnf(c_28,plain,
( ~ ssSkC0
| ~ street(skc10,C)
| ~ lonely(skc10,C)
| ~ down(skc10,A,C)
| ~ barrel(skc10,A)
| ~ present(skc10,A)
| ~ event(skc10,A)
| ~ of(skc10,B,skc12)
| ~ hollywood_placename(skc10,B)
| ~ placename(skc10,B)
| ~ in(skc10,A,skc12)
| ~ agent(skc10,A,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_23,c_25]) ).
cnf(c_29,plain,
( ssSkC0
| ~ placename(skc15,C)
| ~ hollywood_placename(skc15,C)
| ~ of(skc15,C,skc18)
| ~ agent(skc15,A,skc18)
| ~ in(skc15,A,skc18)
| ~ street(skc15,B)
| ~ lonely(skc15,B)
| ~ down(skc15,A,B)
| ~ barrel(skc15,A)
| ~ present(skc15,A)
| ~ event(skc15,A)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_26,c_24]) ).
fof(clause26,axiom,
( placename(skc10,skc13)
| ~ ssSkC0 ),
file('theBenchmark.p',clause26) ).
cnf(c_30,plain,
( placename(skc10,skc13)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause26]) ).
fof(clause25,axiom,
( hollywood_placename(skc10,skc13)
| ~ ssSkC0 ),
file('theBenchmark.p',clause25) ).
cnf(c_31,plain,
( hollywood_placename(skc10,skc13)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause25]) ).
cnf(c_32,plain,
( ssSkC0
| ~ hollywood_placename(skc15,skc19)
| ~ of(skc15,skc19,skc18)
| ~ agent(skc15,A,skc18)
| ~ in(skc15,A,skc18)
| ~ street(skc15,B)
| ~ lonely(skc15,B)
| ~ down(skc15,A,B)
| ~ barrel(skc15,A)
| ~ present(skc15,A)
| ~ event(skc15,A)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_27,c_29]) ).
cnf(c_33,plain,
( ~ ssSkC0
| ~ street(skc10,B)
| ~ lonely(skc10,B)
| ~ down(skc10,A,B)
| ~ barrel(skc10,A)
| ~ present(skc10,A)
| ~ event(skc10,A)
| ~ of(skc10,skc13,skc12)
| ~ hollywood_placename(skc10,skc13)
| ~ in(skc10,A,skc12)
| ~ agent(skc10,A,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_30,c_28]) ).
fof(clause9,axiom,
( hollywood_placename(skc15,skc19)
| ssSkC0 ),
file('theBenchmark.p',clause9) ).
cnf(c_34,plain,
( hollywood_placename(skc15,skc19)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause9]) ).
fof(clause10,axiom,
( event(skc15,skc16)
| ssSkC0 ),
file('theBenchmark.p',clause10) ).
cnf(c_35,plain,
( event(skc15,skc16)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause10]) ).
cnf(c_36,plain,
( ~ ssSkC0
| ~ street(skc10,B)
| ~ lonely(skc10,B)
| ~ down(skc10,A,B)
| ~ barrel(skc10,A)
| ~ present(skc10,A)
| ~ event(skc10,A)
| ~ of(skc10,skc13,skc12)
| ~ in(skc10,A,skc12)
| ~ agent(skc10,A,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_31,c_33]) ).
cnf(c_37,plain,
( ssSkC0
| ~ of(skc15,skc19,skc18)
| ~ agent(skc15,A,skc18)
| ~ in(skc15,A,skc18)
| ~ street(skc15,B)
| ~ lonely(skc15,B)
| ~ down(skc15,A,B)
| ~ barrel(skc15,A)
| ~ present(skc15,A)
| ~ event(skc15,A)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_34,c_32]) ).
fof(clause15,axiom,
( event(skc10,skc11)
| ~ ssSkC0 ),
file('theBenchmark.p',clause15) ).
cnf(c_38,plain,
( event(skc10,skc11)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause15]) ).
fof(clause16,axiom,
( present(skc10,skc11)
| ~ ssSkC0 ),
file('theBenchmark.p',clause16) ).
cnf(c_39,plain,
( present(skc10,skc11)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause16]) ).
cnf(c_40,plain,
( ssSkC0
| ~ of(skc15,skc19,skc18)
| ~ agent(skc15,skc16,skc18)
| ~ in(skc15,skc16,skc18)
| ~ street(skc15,A)
| ~ lonely(skc15,A)
| ~ down(skc15,skc16,A)
| ~ barrel(skc15,skc16)
| ~ present(skc15,skc16)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_35,c_37]) ).
cnf(c_41,plain,
( ~ ssSkC0
| ~ street(skc10,A)
| ~ lonely(skc10,A)
| ~ down(skc10,skc11,A)
| ~ barrel(skc10,skc11)
| ~ present(skc10,skc11)
| ~ of(skc10,skc13,skc12)
| ~ in(skc10,skc11,skc12)
| ~ agent(skc10,skc11,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_38,c_36]) ).
fof(clause11,axiom,
( present(skc15,skc16)
| ssSkC0 ),
file('theBenchmark.p',clause11) ).
cnf(c_42,plain,
( present(skc15,skc16)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause11]) ).
fof(clause12,axiom,
( barrel(skc15,skc16)
| ssSkC0 ),
file('theBenchmark.p',clause12) ).
cnf(c_43,plain,
( barrel(skc15,skc16)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause12]) ).
cnf(c_44,plain,
( ~ ssSkC0
| ~ street(skc10,A)
| ~ lonely(skc10,A)
| ~ down(skc10,skc11,A)
| ~ barrel(skc10,skc11)
| ~ of(skc10,skc13,skc12)
| ~ in(skc10,skc11,skc12)
| ~ agent(skc10,skc11,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_39,c_41]) ).
cnf(c_45,plain,
( ssSkC0
| ~ of(skc15,skc19,skc18)
| ~ agent(skc15,skc16,skc18)
| ~ in(skc15,skc16,skc18)
| ~ street(skc15,A)
| ~ lonely(skc15,A)
| ~ down(skc15,skc16,A)
| ~ barrel(skc15,skc16)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_42,c_40]) ).
fof(clause17,axiom,
( barrel(skc10,skc11)
| ~ ssSkC0 ),
file('theBenchmark.p',clause17) ).
cnf(c_46,plain,
( barrel(skc10,skc11)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause17]) ).
fof(clause18,axiom,
( lonely(skc10,skc14)
| ~ ssSkC0 ),
file('theBenchmark.p',clause18) ).
cnf(c_47,plain,
( lonely(skc10,skc14)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause18]) ).
cnf(c_48,plain,
( ssSkC0
| ~ of(skc15,skc19,skc18)
| ~ agent(skc15,skc16,skc18)
| ~ in(skc15,skc16,skc18)
| ~ street(skc15,A)
| ~ lonely(skc15,A)
| ~ down(skc15,skc16,A)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_43,c_45]) ).
cnf(c_49,plain,
( ~ ssSkC0
| ~ street(skc10,A)
| ~ lonely(skc10,A)
| ~ down(skc10,skc11,A)
| ~ of(skc10,skc13,skc12)
| ~ in(skc10,skc11,skc12)
| ~ agent(skc10,skc11,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_46,c_44]) ).
fof(clause13,axiom,
( lonely(skc15,skc17)
| ssSkC0 ),
file('theBenchmark.p',clause13) ).
cnf(c_50,plain,
( lonely(skc15,skc17)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause13]) ).
fof(clause14,axiom,
( street(skc15,skc17)
| ssSkC0 ),
file('theBenchmark.p',clause14) ).
cnf(c_51,plain,
( street(skc15,skc17)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause14]) ).
cnf(c_52,plain,
( ~ ssSkC0
| ~ street(skc10,skc14)
| ~ down(skc10,skc11,skc14)
| ~ of(skc10,skc13,skc12)
| ~ in(skc10,skc11,skc12)
| ~ agent(skc10,skc11,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_47,c_49]) ).
cnf(c_53,plain,
( ssSkC0
| ~ of(skc15,skc19,skc18)
| ~ agent(skc15,skc16,skc18)
| ~ in(skc15,skc16,skc18)
| ~ street(skc15,skc17)
| ~ down(skc15,skc16,skc17)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_50,c_48]) ).
fof(clause19,axiom,
( street(skc10,skc14)
| ~ ssSkC0 ),
file('theBenchmark.p',clause19) ).
cnf(c_54,plain,
( street(skc10,skc14)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause19]) ).
fof(clause33,axiom,
( agent(skc10,skc11,skc12)
| ~ ssSkC0 ),
file('theBenchmark.p',clause33) ).
cnf(c_55,plain,
( agent(skc10,skc11,skc12)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause33]) ).
cnf(c_56,plain,
( ssSkC0
| ~ of(skc15,skc19,skc18)
| ~ agent(skc15,skc16,skc18)
| ~ in(skc15,skc16,skc18)
| ~ down(skc15,skc16,skc17)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_51,c_53]) ).
cnf(c_57,plain,
( ~ ssSkC0
| ~ down(skc10,skc11,skc14)
| ~ of(skc10,skc13,skc12)
| ~ in(skc10,skc11,skc12)
| ~ agent(skc10,skc11,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_54,c_52]) ).
fof(clause27,axiom,
( agent(skc15,skc16,skc18)
| ssSkC0 ),
file('theBenchmark.p',clause27) ).
cnf(c_58,plain,
( agent(skc15,skc16,skc18)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause27]) ).
fof(clause28,axiom,
( in(skc15,skc16,skc18)
| ssSkC0 ),
file('theBenchmark.p',clause28) ).
cnf(c_59,plain,
( in(skc15,skc16,skc18)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause28]) ).
cnf(c_60,plain,
( ~ ssSkC0
| ~ down(skc10,skc11,skc14)
| ~ of(skc10,skc13,skc12)
| ~ in(skc10,skc11,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_55,c_57]) ).
cnf(c_61,plain,
( ssSkC0
| ~ of(skc15,skc19,skc18)
| ~ in(skc15,skc16,skc18)
| ~ down(skc15,skc16,skc17)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_58,c_56]) ).
fof(clause32,axiom,
( in(skc10,skc11,skc12)
| ~ ssSkC0 ),
file('theBenchmark.p',clause32) ).
cnf(c_62,plain,
( in(skc10,skc11,skc12)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause32]) ).
fof(clause34,axiom,
( of(skc10,skc13,skc12)
| ~ ssSkC0 ),
file('theBenchmark.p',clause34) ).
cnf(c_63,plain,
( of(skc10,skc13,skc12)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause34]) ).
cnf(c_64,plain,
( ssSkC0
| ~ of(skc15,skc19,skc18)
| ~ down(skc15,skc16,skc17)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_59,c_61]) ).
cnf(c_65,plain,
( ~ ssSkC0
| ~ down(skc10,skc11,skc14)
| ~ of(skc10,skc13,skc12)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_62,c_60]) ).
fof(clause29,axiom,
( of(skc15,skc19,skc18)
| ssSkC0 ),
file('theBenchmark.p',clause29) ).
cnf(c_66,plain,
( of(skc15,skc19,skc18)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause29]) ).
fof(clause30,axiom,
( down(skc15,skc16,skc17)
| ssSkC0 ),
file('theBenchmark.p',clause30) ).
cnf(c_67,plain,
( down(skc15,skc16,skc17)
| ssSkC0 ),
inference(clausify,[status(thm)],[clause30]) ).
cnf(c_68,plain,
( ~ ssSkC0
| ~ down(skc10,skc11,skc14)
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_63,c_65]) ).
cnf(c_69,plain,
( ssSkC0
| ~ down(skc15,skc16,skc17)
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_66,c_64]) ).
fof(clause31,axiom,
( down(skc10,skc11,skc14)
| ~ ssSkC0 ),
file('theBenchmark.p',clause31) ).
cnf(c_70,plain,
( down(skc10,skc11,skc14)
| ~ ssSkC0 ),
inference(clausify,[status(thm)],[clause31]) ).
cnf(c_71,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(resolve,[status(thm)],[c_70,c_68]) ).
cnf(c_75,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_71]) ).
cnf(c_76,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_75]) ).
cnf(c_77,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_76]) ).
cnf(c_78,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_77]) ).
cnf(c_79,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_78]) ).
cnf(c_80,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_79]) ).
cnf(c_81,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_80]) ).
cnf(c_82,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_81]) ).
cnf(c_83,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_82]) ).
cnf(c_84,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_83]) ).
cnf(c_85,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_84]) ).
cnf(c_86,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_85]) ).
cnf(c_87,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_86]) ).
cnf(c_88,plain,
( ~ ssSkC0
| ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_87]) ).
cnf(c_89,plain,
( ~ ssSkC0
| ~ ssSkC0 ),
inference(copy,[status(thm)],[c_88]) ).
cnf(c_72,plain,
~ ssSkC0,
inference(copy,[status(thm)],[c_89]) ).
cnf(c_73,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(resolve,[status(thm)],[c_67,c_69]) ).
cnf(c_90,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_73]) ).
cnf(c_91,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_90]) ).
cnf(c_92,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_91]) ).
cnf(c_93,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_92]) ).
cnf(c_94,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_93]) ).
cnf(c_95,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_94]) ).
cnf(c_96,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_95]) ).
cnf(c_97,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_96]) ).
cnf(c_98,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_97]) ).
cnf(c_99,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_98]) ).
cnf(c_100,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_99]) ).
cnf(c_101,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_100]) ).
cnf(c_102,plain,
( ssSkC0
| ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_101]) ).
cnf(c_103,plain,
( ssSkC0
| ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_102]) ).
cnf(c_104,plain,
( ssSkC0
| ssSkC0 ),
inference(copy,[status(thm)],[c_103]) ).
cnf(c_105,plain,
ssSkC0,
inference(copy,[status(thm)],[c_104]) ).
cnf(c_74,plain,
$false,
inference(resolve,[status(thm)],[c_72,c_105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NLP122-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.74 % Computer : n004.cluster.edu
% 0.09/0.74 % Model : x86_64 x86_64
% 0.09/0.74 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.74 % Memory : 8046.5625MB
% 0.09/0.74 % OS : Linux 6.8.0-71-generic
% 0.09/0.74 % CPULimit : 300
% 0.09/0.74 % WCLimit : 300
% 0.09/0.74 % DateTime : Sat Sep 26 00:56:53 UTC 2026
% 0.09/0.74 % CPUTime :
% 0.09/0.74 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.74 % Process 398475 was started by sandbox on n004,
% 0.09/0.74 % Sat Sep 26 00:56:53 2026
% 0.09/0.74 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.75
% 0.09/0.75 % From the command line: assign(max_seconds, 300).
% 0.09/0.76
% 0.09/0.76 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.76
% 0.09/0.76 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.09/0.76 % Length of proof is 72.
% 0.09/0.76 % Level of proof is 19.
% 0.09/0.76 % Maximum clause weight is 1.000.
% 0.09/0.76 % Given clauses 0.
% 0.09/0.76
% 0.09/0.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------