%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NLP267_17 : TPTP v9.3.1. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 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 : Fri Sep 25 02:16:54 PM UTC 2026
% Result : Theorem 1.25s 1.31s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP267_17 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.05 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.38 % Computer : n004.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 02:36:52 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/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
% 0.10/0.45 % Proving...
% 1.25/1.31 % SZS status Started for theBenchmark.p
% 1.25/1.31 % SZS status Theorem for theBenchmark.p
% 1.25/1.31
% 1.25/1.31 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.25/1.31
% 1.25/1.31 % ------ iProver source info
% 1.25/1.31
% 1.25/1.31 % git: date: 2026-07-19 20:42:38 +0200
% 1.25/1.31 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.25/1.31 % git: non_committed_changes: false
% 1.25/1.31
% 1.25/1.31 % ------ Parsing...
% 1.25/1.31 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.25/1.31 %
% 1.25/1.31
% 1.25/1.31 % ------ Preprocessing...%
% 1.25/1.31
% 1.25/1.31 % SZS status Theorem for theBenchmark.p
% 1.25/1.31
% 1.25/1.31 % SZS output start CNFRefutation for theBenchmark.p
% 1.25/1.31
% 1.25/1.31 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.25/1.31 tff(pred_def_1, type, '$ki_accessible': ('$ki_index' * '$ki_world' * '$ki_world') > $o).
% 1.25/1.31 tff(pred_def_2, type, price: ('$ki_world' * $i) > $o).
% 1.25/1.31 tff(pred_def_3, type, dest: ('$ki_world' * $i) > $o).
% 1.25/1.31 tff(pred_def_4, type, class: ('$ki_world' * $i) > $o).
% 1.25/1.31 tff(type_def_5, type, '$ki_world': $tType).
% 1.25/1.31 tff(type_def_6, type, '$ki_index': $tType).
% 1.25/1.31 tff(func_def_8, type, sK0: '$ki_world').
% 1.25/1.31 tff(f1,axiom,(
% 1.25/1.31 ! [X0 : '$ki_world',X1 : '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1)),
% 1.25/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_universal_#idx(b_s)')).
% 1.25/1.31
% 1.25/1.31 tff(f4,axiom,(
% 1.25/1.31 ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(b_s)','$ki_local_world',X0) => ((dest(X0,paris) & class(X0,second)) => price(X0,seventy)))),
% 1.25/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2)).
% 1.25/1.31
% 1.25/1.31 tff(f9,axiom,(
% 1.25/1.31 ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(b_s)','$ki_local_world',X0) => (dest(X0,paris) & class(X0,second)))),
% 1.25/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5)).
% 1.25/1.31
% 1.25/1.31 tff(f10,conjecture,(
% 1.25/1.31 ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(b_s)','$ki_local_world',X0) => price(X0,seventy))),
% 1.25/1.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.25/1.31
% 1.25/1.31 tff(f11,negated_conjecture,(
% 1.25/1.31 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(b_s)','$ki_local_world',X0) => price(X0,seventy))),
% 1.25/1.31 inference(negated_conjecture,[status(cth)],[f10])).
% 1.25/1.31
% 1.25/1.31 tff(f14,plain,(
% 1.25/1.31 ! [X0 : '$ki_world'] : ((price(X0,seventy) | (~dest(X0,paris) | ~class(X0,second))) | ~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0))),
% 1.25/1.31 inference(ennf_transformation,[],[f4])).
% 1.25/1.31
% 1.25/1.31 tff(f15,plain,(
% 1.25/1.31 ! [X0 : '$ki_world'] : (price(X0,seventy) | ~dest(X0,paris) | ~class(X0,second) | ~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0))),
% 1.25/1.31 inference(flattening,[],[f14])).
% 1.25/1.31
% 1.25/1.31 tff(f24,plain,(
% 1.25/1.31 ! [X0 : '$ki_world'] : ((dest(X0,paris) & class(X0,second)) | ~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0))),
% 1.25/1.31 inference(ennf_transformation,[],[f9])).
% 1.25/1.31
% 1.25/1.31 tff(f25,plain,(
% 1.25/1.31 ? [X0 : '$ki_world'] : (~price(X0,seventy) & '$ki_accessible'('#idx(b_s)','$ki_local_world',X0))),
% 1.25/1.31 inference(ennf_transformation,[],[f11])).
% 1.25/1.31
% 1.25/1.31 tff(f26,plain,(
% 1.25/1.31 ~price(sK0,seventy) & '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0)),
% 1.25/1.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f25])).
% 1.25/1.31
% 1.25/1.31 tff(f27,plain,(
% 1.25/1.31 ( ! [X0 : '$ki_world',X1 : '$ki_world'] : ('$ki_accessible'('#idx(b_s)',X0,X1)) )),
% 1.25/1.31 inference(cnf_transformation,[],[f1])).
% 1.25/1.31
% 1.25/1.31 tff(f30,plain,(
% 1.25/1.31 ( ! [X0 : '$ki_world'] : (price(X0,seventy) | ~dest(X0,paris) | ~class(X0,second) | ~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0)) )),
% 1.25/1.31 inference(cnf_transformation,[],[f15])).
% 1.25/1.31
% 1.25/1.31 tff(f35,plain,(
% 1.25/1.31 ( ! [X0 : '$ki_world'] : (class(X0,second) | ~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0)) )),
% 1.25/1.31 inference(cnf_transformation,[],[f24])).
% 1.25/1.31
% 1.25/1.31 tff(f36,plain,(
% 1.25/1.31 ( ! [X0 : '$ki_world'] : (dest(X0,paris) | ~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0)) )),
% 1.25/1.31 inference(cnf_transformation,[],[f24])).
% 1.25/1.31
% 1.25/1.31 tff(f38,plain,(
% 1.25/1.31 ~price(sK0,seventy)),
% 1.25/1.31 inference(cnf_transformation,[],[f26])).
% 1.25/1.31
% 1.25/1.31 tcf(c_49,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.25/1.31 ('$ki_accessible'('#idx(b_s)',X0_'ki_world',X1_'ki_world')),
% 1.25/1.31 inference(cnf_transformation,[],[f27])).
% 1.25/1.31
% 1.25/1.31 tcf(c_52,plain,![X0_'ki_world':'$ki_world']:
% 1.25/1.31 (~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0_'ki_world')|~dest(X0_'ki_world',paris)|
% 1.25/1.31 ~class(X0_'ki_world',second)|price(X0_'ki_world',seventy)),
% 1.25/1.31 inference(cnf_transformation,[],[f30])).
% 1.25/1.31
% 1.25/1.31 tcf(c_57,plain,![X0_'ki_world':'$ki_world']:
% 1.25/1.31 (~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0_'ki_world')|dest(X0_'ki_world',paris)),
% 1.25/1.31 inference(cnf_transformation,[],[f36])).
% 1.25/1.31
% 1.25/1.31 tcf(c_58,plain,![X0_'ki_world':'$ki_world']:
% 1.25/1.31 (~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0_'ki_world')|class(X0_'ki_world',second)),
% 1.25/1.31 inference(cnf_transformation,[],[f35])).
% 1.25/1.31
% 1.25/1.31 tcf(c_59,negated_conjecture,
% 1.25/1.31 (~price(sK0,seventy)),
% 1.25/1.31 inference(cnf_transformation,[],[f38])).
% 1.25/1.31
% 1.25/1.31 tcf(c_77,plain,![X0_'ki_world':'$ki_world']:
% 1.25/1.31 (~'$ki_accessible'('#idx(b_s)','$ki_local_world',X0_'ki_world')|price(X0_'ki_world',seventy)),
% 1.25/1.31 inference(global_subsumption_just,[status(thm)],[c_52,c_58,c_57,c_52])).
% 1.25/1.31
% 1.25/1.31 tcf(c_85,plain,![X0_'ki_world':'$ki_world']:
% 1.25/1.31 (price(X0_'ki_world',seventy)),
% 1.25/1.31 inference(backward_subsumption_resolution,[status(thm)],[c_77,c_49])).
% 1.25/1.31
% 1.25/1.31 tcf(c_97,plain,
% 1.25/1.31 ($false),
% 1.25/1.31 inference(backward_subsumption_resolution,[status(thm)],[c_59,c_85])).
% 1.25/1.31
% 1.25/1.31
% 1.25/1.31 % SZS output end CNFRefutation for theBenchmark.p
% 1.25/1.31
% 1.25/1.31
%------------------------------------------------------------------------------