%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NLP265_17 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n001.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 02:16:53 PM UTC 2026
% Result : Theorem 0.45s 1.29s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP265_17 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 02:42:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 0.45/1.29 % SZS status Started for theBenchmark.p
% 0.45/1.29 % SZS status Theorem for theBenchmark.p
% 0.45/1.29
% 0.45/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.45/1.29
% 0.45/1.29 % ------ iProver source info
% 0.45/1.29
% 0.45/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 0.45/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.45/1.29 % git: non_committed_changes: false
% 0.45/1.29
% 0.45/1.29 % ------ Parsing...
% 0.45/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.45/1.29 %
% 0.45/1.29
% 0.45/1.29 % ------ Preprocessing...%
% 0.45/1.29
% 0.45/1.29 % SZS status Theorem for theBenchmark.p
% 0.45/1.29
% 0.45/1.29 % SZS output start CNFRefutation for theBenchmark.p
% 0.45/1.29
% 0.45/1.29 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 0.45/1.29 tff(pred_def_1, type, '$ki_accessible': ('$ki_index' * '$ki_world' * '$ki_world') > $o).
% 0.45/1.29 tff(pred_def_2, type, bigcity: ('$ki_world' * $i) > $o).
% 0.45/1.29 tff(func_def_3, type, '#idx(i_bob)': '$ki_index').
% 0.45/1.29 tff(func_def_4, type, '#idx(i_alice)': '$ki_index').
% 0.45/1.29 tff(type_def_5, type, '$ki_world': $tType).
% 0.45/1.29 tff(func_def_6, type, sK0: '$ki_world' > '$ki_world').
% 0.45/1.29 tff(func_def_7, type, sK1: '$ki_world' > '$ki_world').
% 0.45/1.29 tff(func_def_8, type, sK2: '$ki_world' > '$ki_world').
% 0.45/1.29 tff(func_def_9, type, sK3: '$ki_world' > '$ki_world').
% 0.45/1.29 tff(func_def_10, type, sK4: '$ki_world').
% 0.45/1.29 tff(func_def_11, type, sK5: '$ki_world').
% 0.45/1.29 tff(f1,axiom,(
% 0.45/1.29 ! [X0 : '$ki_world',X1 : '$ki_world'] : '$ki_accessible'('#idx(b_alice)',X0,X1)),
% 0.45/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_universal_#idx(b_alice)')).
% 0.45/1.29
% 0.45/1.29 tff(f2,axiom,(
% 0.45/1.29 ! [X0 : '$ki_world',X1 : '$ki_world'] : '$ki_accessible'('#idx(b_bob)',X0,X1)),
% 0.45/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_universal_#idx(b_bob)')).
% 0.45/1.29
% 0.45/1.29 tff(f7,axiom,(
% 0.45/1.29 ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(b_alice)','$ki_local_world',X0) => bigcity(X0,portland))),
% 0.45/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2)).
% 0.45/1.29
% 0.45/1.29 tff(f8,axiom,(
% 0.45/1.29 ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(b_alice)','$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('#idx(b_bob)',X0,X1) => ~bigcity(X1,portland)))),
% 0.45/1.29 file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3)).
% 0.45/1.29
% 0.45/1.29 tff(f17,plain,(
% 0.45/1.29 ! [X0 : '$ki_world'] : (bigcity(X0,portland) | ~'$ki_accessible'('#idx(b_alice)','$ki_local_world',X0))),
% 0.45/1.29 inference(ennf_transformation,[],[f7])).
% 0.45/1.29
% 0.45/1.29 tff(f18,plain,(
% 0.45/1.29 ! [X0 : '$ki_world'] : (! [X1 : '$ki_world'] : (~bigcity(X1,portland) | ~'$ki_accessible'('#idx(b_bob)',X0,X1)) | ~'$ki_accessible'('#idx(b_alice)','$ki_local_world',X0))),
% 0.45/1.29 inference(ennf_transformation,[],[f8])).
% 0.45/1.29
% 0.45/1.29 tff(f25,plain,(
% 0.45/1.29 ( ! [X0 : '$ki_world',X1 : '$ki_world'] : ('$ki_accessible'('#idx(b_alice)',X0,X1)) )),
% 0.45/1.29 inference(cnf_transformation,[],[f1])).
% 0.45/1.29
% 0.45/1.29 tff(f26,plain,(
% 0.45/1.29 ( ! [X0 : '$ki_world',X1 : '$ki_world'] : ('$ki_accessible'('#idx(b_bob)',X0,X1)) )),
% 0.45/1.29 inference(cnf_transformation,[],[f2])).
% 0.45/1.29
% 0.45/1.29 tff(f35,plain,(
% 0.45/1.29 ( ! [X0 : '$ki_world'] : (bigcity(X0,portland) | ~'$ki_accessible'('#idx(b_alice)','$ki_local_world',X0)) )),
% 0.45/1.29 inference(cnf_transformation,[],[f17])).
% 0.45/1.29
% 0.45/1.29 tff(f36,plain,(
% 0.45/1.29 ( ! [X0 : '$ki_world',X1 : '$ki_world'] : (~bigcity(X1,portland) | ~'$ki_accessible'('#idx(b_bob)',X0,X1) | ~'$ki_accessible'('#idx(b_alice)','$ki_local_world',X0)) )),
% 0.45/1.29 inference(cnf_transformation,[],[f18])).
% 0.45/1.29
% 0.45/1.29 tcf(c_49,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 0.45/1.29 ('$ki_accessible'('#idx(b_alice)',X0_'ki_world',X1_'ki_world')),
% 0.45/1.29 inference(cnf_transformation,[],[f25])).
% 0.45/1.29
% 0.45/1.29 tcf(c_50,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 0.45/1.29 ('$ki_accessible'('#idx(b_bob)',X0_'ki_world',X1_'ki_world')),
% 0.45/1.29 inference(cnf_transformation,[],[f26])).
% 0.45/1.29
% 0.45/1.29 tcf(c_59,plain,![X0_'ki_world':'$ki_world']:
% 0.45/1.29 (~'$ki_accessible'('#idx(b_alice)','$ki_local_world',X0_'ki_world')|
% 0.45/1.29 bigcity(X0_'ki_world',portland)),
% 0.45/1.29 inference(cnf_transformation,[],[f35])).
% 0.45/1.29
% 0.45/1.29 tcf(c_60,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 0.45/1.29 (~'$ki_accessible'('#idx(b_bob)',X0_'ki_world',X1_'ki_world')|~'$ki_accessible'('#idx(b_alice)','$ki_local_world',X0_'ki_world')|
% 0.45/1.29 ~bigcity(X1_'ki_world',portland)),
% 0.45/1.29 inference(cnf_transformation,[],[f36])).
% 0.45/1.29
% 0.45/1.29 tcf(c_66,plain,
% 0.45/1.29 ('$ki_accessible'('#idx(b_bob)','$ki_local_world','$ki_local_world')),
% 0.45/1.29 inference(instantiation,[status(thm)],[c_50])).
% 0.45/1.29
% 0.45/1.29 tcf(c_67,plain,
% 0.45/1.29 ('$ki_accessible'('#idx(b_alice)','$ki_local_world','$ki_local_world')),
% 0.45/1.29 inference(instantiation,[status(thm)],[c_49])).
% 0.45/1.29
% 0.45/1.29 tcf(c_68,plain,
% 0.45/1.29 (~'$ki_accessible'('#idx(b_alice)','$ki_local_world','$ki_local_world')|
% 0.45/1.29 bigcity('$ki_local_world',portland)),
% 0.45/1.29 inference(instantiation,[status(thm)],[c_59])).
% 0.45/1.29
% 0.45/1.29 tcf(c_69,plain,
% 0.45/1.29 (~'$ki_accessible'('#idx(b_alice)','$ki_local_world','$ki_local_world')|
% 0.45/1.29 ~'$ki_accessible'('#idx(b_bob)','$ki_local_world','$ki_local_world')|
% 0.45/1.29 ~bigcity('$ki_local_world',portland)),
% 0.45/1.29 inference(instantiation,[status(thm)],[c_60])).
% 0.45/1.29
% 0.45/1.29 tcf(c_70,plain,
% 0.45/1.29 ($false),
% 0.45/1.29 inference(prop_impl_just,[status(thm)],[c_69,c_68,c_67,c_66])).
% 0.45/1.29
% 0.45/1.29
% 0.45/1.29 % SZS output end CNFRefutation for theBenchmark.p
% 0.45/1.29
% 0.45/1.29
%------------------------------------------------------------------------------