%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PUZ149_13 : 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 : n014.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 02:33:03 PM UTC 2026
% Result : Theorem 1.72s 1.28s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ149_13 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Thu Sep 24 07:01:33 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 1.72/1.28 % SZS status Started for theBenchmark.p
% 1.72/1.28 % SZS status Theorem for theBenchmark.p
% 1.72/1.28
% 1.72/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.72/1.28
% 1.72/1.28 % ------ iProver source info
% 1.72/1.28
% 1.72/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.72/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.72/1.28 % git: non_committed_changes: false
% 1.72/1.28
% 1.72/1.28 % ------ Parsing...
% 1.72/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.72/1.28 %
% 1.72/1.28
% 1.72/1.28 % ------ Preprocessing... pe_s pe_e %
% 1.72/1.28
% 1.72/1.28 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.72/1.28 gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.72/1.28 % ------ Proving...
% 1.72/1.28 % ------ Problem Properties
% 1.72/1.28
% 1.72/1.28 %
% 1.72/1.28 % clauses 18
% 1.72/1.28 % conjectures 0
% 1.72/1.28 % EPR 18
% 1.72/1.28 % Horn 13
% 1.72/1.28 % unary 2
% 1.72/1.28 % binary 3
% 1.72/1.28 % lits 48
% 1.72/1.28 % lits eq 0
% 1.72/1.28 % fd_pure 0
% 1.72/1.28 % fd_pseudo 0
% 1.72/1.28 % fd_cond 0
% 1.72/1.28 % fd_pseudo_cond 0
% 1.72/1.28 % AC symbols 0
% 1.72/1.28
% 1.72/1.28 % ------ Schedule EPR non Horn non eq is on
% 1.72/1.28
% 1.72/1.28 % ------ no conjectures: strip conj schedule
% 1.72/1.28
% 1.72/1.28 % ------ no equalities: superposition off
% 1.72/1.28
% 1.72/1.28 % ------ Input Options "--resolution_flag false" stripped conjectures Time Limit: 70.
% 1.72/1.28
% 1.72/1.28
% 1.72/1.28 % ------
% 1.72/1.28 % Current options:
% 1.72/1.28 % ------
% 1.72/1.28
% 1.72/1.28
% 1.72/1.28 %
% 1.72/1.28
% 1.72/1.28 % ------ Proving...
% 1.72/1.28 %
% 1.72/1.28
% 1.72/1.28 % SZS status Theorem for theBenchmark.p
% 1.72/1.28
% 1.72/1.28 % SZS output start CNFRefutation for theBenchmark.p
% 1.72/1.28
% 1.72/1.28 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.72/1.28 tff(pred_def_1, type, '$ki_accessible': ('$ki_index' * '$ki_world' * '$ki_world') > $o).
% 1.72/1.28 tff(pred_def_2, type, acid: '$ki_world' > $o).
% 1.72/1.28 tff(func_def_3, type, '#idx(pour_a)': '$ki_index').
% 1.72/1.28 tff(func_def_4, type, sK0: '$ki_world').
% 1.72/1.28 tff(func_def_5, type, sK1: '$ki_world').
% 1.72/1.28 tff(func_def_6, type, sK2: '$ki_world').
% 1.72/1.28 tff(func_def_7, type, sK3: '$ki_world').
% 1.72/1.28 tff(func_def_8, type, sK4: '$ki_world').
% 1.72/1.28 tff(func_def_9, type, sK5: '$ki_world').
% 1.72/1.28 tff(func_def_10, type, sK6: '$ki_world').
% 1.72/1.28 tff(func_def_11, type, sK7: '$ki_world').
% 1.72/1.28 tff(func_def_12, type, sK8: '$ki_world').
% 1.72/1.28 tff(f2,axiom,(
% 1.72/1.28 ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('#idx(pour_b)',X0,X1) => ~acid(X1))) => ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(make_c)','$ki_local_world',X0) => ~acid(X0))),
% 1.72/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_ab_make_axiom_2)).
% 1.72/1.28
% 1.72/1.28 tff(f5,axiom,(
% 1.72/1.28 ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) => ~acid(X0))),
% 1.72/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pour_a_acid)).
% 1.72/1.28
% 1.72/1.28 tff(f6,axiom,(
% 1.72/1.28 ? [X0 : '$ki_world'] : ('$ki_accessible'('#idx(make_c)','$ki_local_world',X0) & acid(X0))),
% 1.72/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_c_acid)).
% 1.72/1.28
% 1.72/1.28 tff(f7,conjecture,(
% 1.72/1.28 ? [X0 : '$ki_world'] : ('$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) & ~acid(X0)) & ? [X0 : '$ki_world'] : ('$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) & ? [X1 : '$ki_world'] : ('$ki_accessible'('#idx(pour_b)',X0,X1) & acid(X1)))),
% 1.72/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.72/1.28
% 1.72/1.28 tff(f8,negated_conjecture,(
% 1.72/1.28 ~(? [X0 : '$ki_world'] : ('$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) & ~acid(X0)) & ? [X0 : '$ki_world'] : ('$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) & ? [X1 : '$ki_world'] : ('$ki_accessible'('#idx(pour_b)',X0,X1) & acid(X1))))),
% 1.72/1.28 inference(negated_conjecture,[status(cth)],[f7])).
% 1.72/1.28
% 1.72/1.28 tff(f10,plain,(
% 1.72/1.28 ! [X0 : '$ki_world'] : ('$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('#idx(pour_b)',X0,X1) => ~acid(X1))) => ! [X2 : '$ki_world'] : ('$ki_accessible'('#idx(make_c)','$ki_local_world',X2) => ~acid(X2))),
% 1.72/1.28 inference(rectify,[],[f2])).
% 1.72/1.28
% 1.72/1.28 tff(f13,plain,(
% 1.72/1.28 ~(? [X0 : '$ki_world'] : ('$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) & ~acid(X0)) & ? [X1 : '$ki_world'] : ('$ki_accessible'('#idx(pour_a)','$ki_local_world',X1) & ? [X2 : '$ki_world'] : ('$ki_accessible'('#idx(pour_b)',X1,X2) & acid(X2))))),
% 1.72/1.28 inference(rectify,[],[f8])).
% 1.72/1.28
% 1.72/1.28 tff(f15,plain,(
% 1.72/1.28 ! [X2 : '$ki_world'] : (~acid(X2) | ~'$ki_accessible'('#idx(make_c)','$ki_local_world',X2)) | ? [X0 : '$ki_world'] : (? [X1 : '$ki_world'] : (acid(X1) & '$ki_accessible'('#idx(pour_b)',X0,X1)) & '$ki_accessible'('#idx(pour_a)','$ki_local_world',X0))),
% 1.72/1.28 inference(ennf_transformation,[],[f10])).
% 1.72/1.28
% 1.72/1.28 tff(f18,plain,(
% 1.72/1.28 ! [X0 : '$ki_world'] : (~acid(X0) | ~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0))),
% 1.72/1.28 inference(ennf_transformation,[],[f5])).
% 1.72/1.28
% 1.72/1.28 tff(f19,plain,(
% 1.72/1.28 ! [X0 : '$ki_world'] : (~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) | acid(X0)) | ! [X1 : '$ki_world'] : (~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X1) | ! [X2 : '$ki_world'] : (~'$ki_accessible'('#idx(pour_b)',X1,X2) | ~acid(X2)))),
% 1.72/1.28 inference(ennf_transformation,[],[f13])).
% 1.72/1.28
% 1.72/1.28 tff(f22,plain,(
% 1.72/1.28 ! [X0 : '$ki_world'] : (~acid(X0) | ~'$ki_accessible'('#idx(make_c)','$ki_local_world',X0)) | ? [X1 : '$ki_world'] : (? [X2 : '$ki_world'] : (acid(X2) & '$ki_accessible'('#idx(pour_b)',X1,X2)) & '$ki_accessible'('#idx(pour_a)','$ki_local_world',X1))),
% 1.72/1.28 inference(rectify,[],[f15])).
% 1.72/1.28
% 1.72/1.28 tff(f23,plain,(
% 1.72/1.28 ! [X0 : '$ki_world'] : (~acid(X0) | ~'$ki_accessible'('#idx(make_c)','$ki_local_world',X0)) | ((acid(sK3) & '$ki_accessible'('#idx(pour_b)',sK2,sK3)) & '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2))),
% 1.72/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X1,sK2),skolemize(X2,sK3)],[f22])).
% 1.72/1.28
% 1.72/1.28 tff(f28,plain,(
% 1.72/1.28 '$ki_accessible'('#idx(make_c)','$ki_local_world',sK8) & acid(sK8)),
% 1.72/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X0,sK8)],[f6])).
% 1.72/1.28
% 1.72/1.28 tff(f32,plain,(
% 1.72/1.28 ( ! [X0 : '$ki_world'] : (~acid(X0) | ~'$ki_accessible'('#idx(make_c)','$ki_local_world',X0) | '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2)) )),
% 1.72/1.28 inference(cnf_transformation,[],[f23])).
% 1.72/1.28
% 1.72/1.28 tff(f33,plain,(
% 1.72/1.28 ( ! [X0 : '$ki_world'] : (~acid(X0) | ~'$ki_accessible'('#idx(make_c)','$ki_local_world',X0) | '$ki_accessible'('#idx(pour_b)',sK2,sK3)) )),
% 1.72/1.28 inference(cnf_transformation,[],[f23])).
% 1.72/1.28
% 1.72/1.28 tff(f34,plain,(
% 1.72/1.28 ( ! [X0 : '$ki_world'] : (~acid(X0) | ~'$ki_accessible'('#idx(make_c)','$ki_local_world',X0) | acid(sK3)) )),
% 1.72/1.28 inference(cnf_transformation,[],[f23])).
% 1.72/1.28
% 1.72/1.28 tff(f41,plain,(
% 1.72/1.28 ( ! [X0 : '$ki_world'] : (~acid(X0) | ~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0)) )),
% 1.72/1.28 inference(cnf_transformation,[],[f18])).
% 1.72/1.28
% 1.72/1.28 tff(f42,plain,(
% 1.72/1.28 acid(sK8)),
% 1.72/1.28 inference(cnf_transformation,[],[f28])).
% 1.72/1.28
% 1.72/1.28 tff(f43,plain,(
% 1.72/1.28 '$ki_accessible'('#idx(make_c)','$ki_local_world',sK8)),
% 1.72/1.28 inference(cnf_transformation,[],[f28])).
% 1.72/1.28
% 1.72/1.28 tff(f44,plain,(
% 1.72/1.28 ( ! [X2 : '$ki_world',X0 : '$ki_world',X1 : '$ki_world'] : (~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0) | acid(X0) | ~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X1) | ~'$ki_accessible'('#idx(pour_b)',X1,X2) | ~acid(X2)) )),
% 1.72/1.28 inference(cnf_transformation,[],[f19])).
% 1.72/1.28
% 1.72/1.28 tcf(c_52,plain,![X0_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(make_c)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~acid(X0_'ki_world')|acid(sK3)),
% 1.72/1.28 inference(cnf_transformation,[],[f34])).
% 1.72/1.28
% 1.72/1.28 tcf(c_53,plain,![X0_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(make_c)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~acid(X0_'ki_world')|'$ki_accessible'('#idx(pour_b)',sK2,sK3)),
% 1.72/1.28 inference(cnf_transformation,[],[f33])).
% 1.72/1.28
% 1.72/1.28 tcf(c_54,plain,![X0_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(make_c)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~acid(X0_'ki_world')|'$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2)),
% 1.72/1.28 inference(cnf_transformation,[],[f32])).
% 1.72/1.28
% 1.72/1.28 tcf(c_61,plain,![X0_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~acid(X0_'ki_world')),
% 1.72/1.28 inference(cnf_transformation,[],[f41])).
% 1.72/1.28
% 1.72/1.28 tcf(c_62,plain,
% 1.72/1.28 ('$ki_accessible'('#idx(make_c)','$ki_local_world',sK8)),
% 1.72/1.28 inference(cnf_transformation,[],[f43])).
% 1.72/1.28
% 1.72/1.28 tcf(c_63,plain, (acid(sK8)),inference(cnf_transformation,[],[f42])).
% 1.72/1.28
% 1.72/1.28 tcf(c_64,negated_conjecture,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_b)',X0_'ki_world',X1_'ki_world')|~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X2_'ki_world')|
% 1.72/1.28 ~acid(X1_'ki_world')|acid(X2_'ki_world')),
% 1.72/1.28 inference(cnf_transformation,[],[f44])).
% 1.72/1.28
% 1.72/1.28 tcf(c_86,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_b)',X0_'ki_world',X1_'ki_world')|~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X2_'ki_world')|
% 1.72/1.28 ~acid(X1_'ki_world')),
% 1.72/1.28 inference(backward_subsumption_resolution,[status(thm)],[c_64,c_61])).
% 1.72/1.28
% 1.72/1.28 tcf(c_167,plain,![X0_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~iPr_def_10),
% 1.72/1.28 inference(splitting,
% 1.72/1.28 [splitting(split),new_symbols(definition,[iPr_def_10])],
% 1.72/1.28 [c_86])).
% 1.72/1.28
% 1.72/1.28 tcf(c_168,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~'$ki_accessible'('#idx(pour_b)',X0_'ki_world',X1_'ki_world')|~acid(X1_'ki_world')|
% 1.72/1.28 ~iPr_def_11),
% 1.72/1.28 inference(splitting,
% 1.72/1.28 [splitting(split),new_symbols(definition,[iPr_def_11])],
% 1.72/1.28 [c_86])).
% 1.72/1.28
% 1.72/1.28 tcf(c_169,plain,
% 1.72/1.28 (iPr_def_10|iPr_def_11),
% 1.72/1.28 inference(splitting,[splitting(split),new_symbols(definition,[])],[c_86])).
% 1.72/1.28
% 1.72/1.28 tcf(c_170,plain,
% 1.72/1.28 (iPr_def_10|iPr_def_11),
% 1.72/1.28 inference(demodulation,[status(thm)],[c_169])).
% 1.72/1.28
% 1.72/1.28 tcf(c_171,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_b)',X0_'ki_world',X1_'ki_world')|~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~acid(X1_'ki_world')|~iPr_def_11),
% 1.72/1.28 inference(demodulation,[status(thm)],[c_168])).
% 1.72/1.28
% 1.72/1.28 tcf(c_172,plain,![X0_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_a)','$ki_local_world',X0_'ki_world')|
% 1.72/1.28 ~iPr_def_10),
% 1.72/1.28 inference(demodulation,[status(thm)],[c_167])).
% 1.72/1.28
% 1.72/1.28 tcf(c_176,plain,
% 1.72/1.28 (~'$ki_accessible'('#idx(make_c)','$ki_local_world',sK8)|~acid(sK8)|
% 1.72/1.28 acid(sK3)),
% 1.72/1.28 inference(instantiation,[status(thm)],[c_52])).
% 1.72/1.28
% 1.72/1.28 tcf(c_177,plain,
% 1.72/1.28 (~'$ki_accessible'('#idx(make_c)','$ki_local_world',sK8)|~acid(sK8)|
% 1.72/1.28 '$ki_accessible'('#idx(pour_b)',sK2,sK3)),
% 1.72/1.28 inference(instantiation,[status(thm)],[c_53])).
% 1.72/1.28
% 1.72/1.28 tcf(c_178,plain,
% 1.72/1.28 (~'$ki_accessible'('#idx(make_c)','$ki_local_world',sK8)|~acid(sK8)|
% 1.72/1.28 '$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2)),
% 1.72/1.28 inference(instantiation,[status(thm)],[c_54])).
% 1.72/1.28
% 1.72/1.28 tcf(c_191,plain,
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2)|~iPr_def_10),
% 1.72/1.28 inference(instantiation,[status(thm)],[c_172])).
% 1.72/1.28
% 1.72/1.28 tcf(c_198,plain,![X0_'ki_world':'$ki_world']:
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_b)',sK2,X0_'ki_world')|~'$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2)|
% 1.72/1.28 ~acid(X0_'ki_world')|~iPr_def_11),
% 1.72/1.28 inference(instantiation,[status(thm)],[c_171])).
% 1.72/1.28
% 1.72/1.28 tcf(c_200,plain,
% 1.72/1.28 (~'$ki_accessible'('#idx(pour_b)',sK2,sK3)|~'$ki_accessible'('#idx(pour_a)','$ki_local_world',sK2)|
% 1.72/1.28 ~acid(sK3)|~iPr_def_11),
% 1.72/1.28 inference(instantiation,[status(thm)],[c_198])).
% 1.72/1.28
% 1.72/1.28 tcf(c_201,plain,
% 1.72/1.28 ($false),
% 1.72/1.28 inference(prop_impl_just,
% 1.72/1.28 [status(thm)],
% 1.72/1.28 [c_200,c_191,c_178,c_177,c_176,c_170,c_62,c_63])).
% 1.72/1.28
% 1.72/1.28
% 1.72/1.28 % SZS output end CNFRefutation for theBenchmark.p
% 1.72/1.28
% 1.72/1.28
%------------------------------------------------------------------------------