%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NLP267_3 : 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 : 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 : Fri Sep 25 02:16:54 PM UTC 2026
% Result : Theorem 1.16s 1.45s
% Output : CNFRefutation 1.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP267_3 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.54 % Computer : n026.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Thu Sep 24 02:40:11 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.54 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.58 Running first-order theorem proving
% 0.14/0.58 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
% 0.14/0.59
% 0.14/0.59 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.59
% 0.14/0.59 % Detected problem language: tptp
% 0.14/0.60 % Proving...
% 1.16/1.45 % SZS status Started for theBenchmark.p
% 1.16/1.45 % SZS status Theorem for theBenchmark.p
% 1.16/1.45
% 1.16/1.45 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.16/1.45
% 1.16/1.45 % ------ iProver source info
% 1.16/1.45
% 1.16/1.45 % git: date: 2026-07-19 20:42:38 +0200
% 1.16/1.45 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.16/1.45 % git: non_committed_changes: false
% 1.16/1.45
% 1.16/1.45 % ------ Parsing...
% 1.16/1.45 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.16/1.45 %
% 1.16/1.45
% 1.16/1.45 % ------ Preprocessing... pe_s pe:1:0s pe:2:0s%
% 1.16/1.45
% 1.16/1.45 % SZS status Theorem for theBenchmark.p
% 1.16/1.45
% 1.16/1.45 % SZS output start CNFRefutation for theBenchmark.p
% 1.16/1.45
% 1.16/1.45 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.16/1.45 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.16/1.45 tff(pred_def_2, type, price: ('$ki_world' * $i) > $o).
% 1.16/1.45 tff(pred_def_3, type, dest: ('$ki_world' * $i) > $o).
% 1.16/1.45 tff(pred_def_4, type, class: ('$ki_world' * $i) > $o).
% 1.16/1.45 tff(type_def_5, type, '$ki_world': $tType).
% 1.16/1.45 tff(func_def_6, type, sK0: '$ki_world' > '$ki_world').
% 1.16/1.45 tff(func_def_7, type, sK1: '$ki_world').
% 1.16/1.45 tff(f3,axiom,(
% 1.16/1.45 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ((dest(X0,paris) & class(X0,second)) => price(X0,seventy)))),
% 1.16/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',law2)).
% 1.16/1.45
% 1.16/1.45 tff(f6,axiom,(
% 1.16/1.45 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => dest(X0,paris))),
% 1.16/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief1)).
% 1.16/1.45
% 1.16/1.45 tff(f7,axiom,(
% 1.16/1.45 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => class(X0,second))),
% 1.16/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief2)).
% 1.16/1.45
% 1.16/1.45 tff(f8,conjecture,(
% 1.16/1.45 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => price(X0,seventy))),
% 1.16/1.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify)).
% 1.16/1.45
% 1.16/1.45 tff(f9,negated_conjecture,(
% 1.16/1.45 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => price(X0,seventy))),
% 1.16/1.45 inference(negated_conjecture,[status(cth)],[f8])).
% 1.16/1.45
% 1.16/1.45 tff(f12,plain,(
% 1.16/1.45 ! [X0 : '$ki_world'] : ((price(X0,seventy) | (~dest(X0,paris) | ~class(X0,second))) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.16/1.45 inference(ennf_transformation,[],[f3])).
% 1.16/1.45
% 1.16/1.45 tff(f13,plain,(
% 1.16/1.45 ! [X0 : '$ki_world'] : (price(X0,seventy) | ~dest(X0,paris) | ~class(X0,second) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.16/1.45 inference(flattening,[],[f12])).
% 1.16/1.45
% 1.16/1.45 tff(f18,plain,(
% 1.16/1.45 ! [X0 : '$ki_world'] : (dest(X0,paris) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.16/1.45 inference(ennf_transformation,[],[f6])).
% 1.16/1.45
% 1.16/1.45 tff(f19,plain,(
% 1.16/1.45 ! [X0 : '$ki_world'] : (class(X0,second) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.16/1.45 inference(ennf_transformation,[],[f7])).
% 1.16/1.45
% 1.16/1.45 tff(f20,plain,(
% 1.16/1.45 ? [X0 : '$ki_world'] : (~price(X0,seventy) & '$ki_accessible'('$ki_local_world',X0))),
% 1.16/1.45 inference(ennf_transformation,[],[f9])).
% 1.16/1.45
% 1.16/1.45 tff(f22,plain,(
% 1.16/1.45 ~price(sK1,seventy) & '$ki_accessible'('$ki_local_world',sK1)),
% 1.16/1.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f20])).
% 1.16/1.45
% 1.16/1.45 tff(f25,plain,(
% 1.16/1.45 ( ! [X0 : '$ki_world'] : (price(X0,seventy) | ~dest(X0,paris) | ~class(X0,second) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.16/1.45 inference(cnf_transformation,[],[f13])).
% 1.16/1.45
% 1.16/1.45 tff(f28,plain,(
% 1.16/1.45 ( ! [X0 : '$ki_world'] : (dest(X0,paris) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.16/1.45 inference(cnf_transformation,[],[f18])).
% 1.16/1.45
% 1.16/1.45 tff(f29,plain,(
% 1.16/1.45 ( ! [X0 : '$ki_world'] : (class(X0,second) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.16/1.45 inference(cnf_transformation,[],[f19])).
% 1.16/1.45
% 1.16/1.45 tff(f30,plain,(
% 1.16/1.45 '$ki_accessible'('$ki_local_world',sK1)),
% 1.16/1.45 inference(cnf_transformation,[],[f22])).
% 1.16/1.45
% 1.16/1.45 tff(f31,plain,(
% 1.16/1.45 ~price(sK1,seventy)),
% 1.16/1.45 inference(cnf_transformation,[],[f22])).
% 1.16/1.45
% 1.16/1.45 tcf(c_51,plain,![X0_'ki_world':'$ki_world']:
% 1.16/1.45 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~dest(X0_'ki_world',paris)|
% 1.16/1.45 ~class(X0_'ki_world',second)|price(X0_'ki_world',seventy)),
% 1.16/1.45 inference(cnf_transformation,[],[f25])).
% 1.16/1.45
% 1.16/1.45 tcf(c_54,plain,![X0_'ki_world':'$ki_world']:
% 1.16/1.45 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|dest(X0_'ki_world',paris)),
% 1.16/1.45 inference(cnf_transformation,[],[f28])).
% 1.16/1.45
% 1.16/1.45 tcf(c_55,plain,![X0_'ki_world':'$ki_world']:
% 1.16/1.45 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|class(X0_'ki_world',second)),
% 1.16/1.45 inference(cnf_transformation,[],[f29])).
% 1.16/1.45
% 1.16/1.45 tcf(c_56,negated_conjecture,
% 1.16/1.45 (~price(sK1,seventy)),
% 1.16/1.45 inference(cnf_transformation,[],[f31])).
% 1.16/1.45
% 1.16/1.45 tcf(c_57,negated_conjecture,
% 1.16/1.45 ('$ki_accessible'('$ki_local_world',sK1)),
% 1.16/1.45 inference(cnf_transformation,[],[f30])).
% 1.16/1.45
% 1.16/1.45 tcf(c_71,plain,![X0_'ki_world':'$ki_world']:
% 1.16/1.45 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|price(X0_'ki_world',seventy)),
% 1.16/1.45 inference(global_subsumption_just,[status(thm)],[c_51,c_55,c_54,c_51])).
% 1.16/1.45
% 1.16/1.45 tcf(c_102,plain,
% 1.16/1.45 (~'$ki_accessible'('$ki_local_world',sK1)),
% 1.16/1.45 inference(resolution,[status(thm)],[c_71,c_56])).
% 1.16/1.45
% 1.16/1.45 tcf(c_103,plain,
% 1.16/1.45 ($false),
% 1.16/1.45 inference(prop_impl_just,[status(thm)],[c_102,c_57])).
% 1.16/1.45
% 1.16/1.45
% 1.16/1.45 % SZS output end CNFRefutation for theBenchmark.p
% 1.16/1.45
% 1.16/1.45
%------------------------------------------------------------------------------