%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ132+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n020.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 : Fri Sep 25 02:33:01 PM UTC 2026
% Result : Theorem 0.52s 1.29s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 54 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 16 |; 2 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 14 ( 0 sgn 14 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( capital(X0)
=> city(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',capital_city_type) ).
fof(f5,axiom,
capital(washington),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',washington_type) ).
fof(f6,axiom,
country(usa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',usa_type) ).
fof(f8,axiom,
! [X0] :
( city(X0)
=> has_crime(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',crime_axiom) ).
fof(f9,axiom,
capital_city(usa) = washington,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',usa_capital_axiom) ).
fof(f10,axiom,
! [X0] :
( country(X0)
=> beautiful(capital_city(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',beautiful_capital_axiom) ).
fof(f11,conjecture,
( has_crime(washington)
& beautiful(washington) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',washington_conjecture) ).
fof(f12,negated_conjecture,
~ ( has_crime(washington)
& beautiful(washington) ),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
! [X0] :
( ~ capital(X0)
| city(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0] :
( ~ city(X0)
| has_crime(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f16,plain,
! [X0] :
( ~ country(X0)
| beautiful(capital_city(X0)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f17,plain,
( ~ has_crime(washington)
| ~ beautiful(washington) ),
inference(ennf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0] :
( ~ capital(X0)
| city(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
capital(washington),
inference(cnf_transformation,[],[f5]) ).
fof(f26,plain,
country(usa),
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] :
( ~ city(X0)
| has_crime(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
washington = capital_city(usa),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0] :
( ~ country(X0)
| beautiful(capital_city(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
( ~ has_crime(washington)
| ~ beautiful(washington) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_51,plain,
! [X0: $i] :
( city(X0)
| ~ capital(X0) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_53,plain,
capital(washington),
inference(cnf_transformation,[],[f25]) ).
tcf(c_54,plain,
country(usa),
inference(cnf_transformation,[],[f26]) ).
tcf(c_56,plain,
! [X0: $i] :
( has_crime(X0)
| ~ city(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_57,plain,
capital_city(usa) = washington,
inference(cnf_transformation,[],[f29]) ).
tcf(c_58,plain,
! [X0: $i] :
( beautiful(capital_city(X0))
| ~ country(X0) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_59,negated_conjecture,
( ~ beautiful(washington)
| ~ has_crime(washington) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_60,plain,
( has_crime(washington)
| ~ city(washington) ),
inference(instantiation,[status(thm)],[c_56]) ).
tcf(c_61,plain,
( city(washington)
| ~ capital(washington) ),
inference(instantiation,[status(thm)],[c_51]) ).
tcf(c_64,negated_conjecture,
~ beautiful(washington),
inference(global_subsumption_just,[status(thm)],[c_59,c_53,c_60,c_61,c_59]) ).
tcf(c_118,plain,
! [X0: $i] :
( ~ country(X0)
| ( capital_city(X0) != washington ) ),
inference(resolution_lifted,[status(thm)],[c_58,c_64]) ).
tcf(c_133,plain,
! [X0: $i] :
( ( X0 != usa )
| ( capital_city(X0) != washington ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_118]) ).
tcf(c_134,plain,
capital_city(usa) != washington,
inference(unflattening,[status(thm)],[c_133]) ).
tcf(c_135,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_134,c_57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ132+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n020.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Thu Sep 24 07:00:33 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43
% 0.10/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.43
% 0.10/0.43 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 0.52/1.29 % SZS status Started for theBenchmark.p
% 0.52/1.29 % SZS status Theorem for theBenchmark.p
% 0.52/1.29
% 0.52/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.52/1.29
% 0.52/1.29 % ------ iProver source info
% 0.52/1.29
% 0.52/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.52/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.52/1.29 % git: non_committed_changes: false
% 0.52/1.29
% 0.52/1.29 % ------ Parsing...
% 0.52/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.52/1.29
% 0.52/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 9 0s sf_e pe_s pe:1:0s%
% 0.52/1.29
% 0.52/1.29 % SZS status Theorem for theBenchmark.p
% 0.52/1.29
% 0.52/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.52/1.29
% 0.52/1.29
%------------------------------------------------------------------------------