%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO894_8 : 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 03:52:17 PM UTC 2026
% Result : Theorem 1.61s 1.28s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO894_8 : 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 : n004.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 : Fri Sep 25 03:58:21 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...
% 1.61/1.28 % SZS status Started for theBenchmark.p
% 1.61/1.28 % SZS status Theorem for theBenchmark.p
% 1.61/1.28
% 1.61/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.61/1.28
% 1.61/1.28 % ------ iProver source info
% 1.61/1.28
% 1.61/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.61/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.61/1.28 % git: non_committed_changes: false
% 1.61/1.28
% 1.61/1.28 % ------ Parsing...
% 1.61/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.61/1.28 %
% 1.61/1.28
% 1.61/1.28 % ------ Preprocessing... pe_s pe_e pe_s pe_e %
% 1.61/1.28
% 1.61/1.28 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.61/1.28 gs_s sp: 2 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.61/1.28 % ------ Proving...
% 1.61/1.28 % ------ Problem Properties
% 1.61/1.28
% 1.61/1.28 %
% 1.61/1.28 % clauses 7
% 1.61/1.28 % conjectures 6
% 1.61/1.28 % EPR 7
% 1.61/1.28 % Horn 3
% 1.61/1.28 % unary 2
% 1.61/1.28 % binary 4
% 1.61/1.28 % lits 13
% 1.61/1.28 % lits eq 0
% 1.61/1.28 % fd_pure 0
% 1.61/1.28 % fd_pseudo 0
% 1.61/1.28 % fd_cond 0
% 1.61/1.28 % fd_pseudo_cond 0
% 1.61/1.28 % AC symbols 0
% 1.61/1.28
% 1.61/1.28 % ------ Schedule EPR non Horn non eq is on
% 1.61/1.28
% 1.61/1.28 % ------ no equalities: superposition off
% 1.61/1.28
% 1.61/1.28 % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.61/1.28
% 1.61/1.28
% 1.61/1.28 % ------
% 1.61/1.28 % Current options:
% 1.61/1.28 % ------
% 1.61/1.28
% 1.61/1.28
% 1.61/1.28 %
% 1.61/1.28
% 1.61/1.28 % ------ Proving...
% 1.61/1.28 %
% 1.61/1.28
% 1.61/1.28 % SZS status Theorem for theBenchmark.p
% 1.61/1.28
% 1.61/1.28 % SZS output start CNFRefutation for theBenchmark.p
% 1.61/1.28
% 1.61/1.28 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.61/1.28 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.61/1.28 tff(pred_def_2, type, p: '$ki_world' > $o).
% 1.61/1.28 tff(type_def_5, type, '$ki_world': $tType).
% 1.61/1.28 tff(f2,conjecture,(
% 1.61/1.28 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (p(X0) => ~p(X0))) <=> ~ ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & p(X0))),
% 1.61/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.61/1.28
% 1.61/1.28 tff(f3,negated_conjecture,(
% 1.61/1.28 ~(! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (p(X0) => ~p(X0))) <=> ~ ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & p(X0)))),
% 1.61/1.28 inference(negated_conjecture,[status(cth)],[f2])).
% 1.61/1.28
% 1.61/1.28 tff(f4,plain,(
% 1.61/1.28 ~(! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => (p(X0) => ~p(X0))) <=> ~ ? [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) & p(X1)))),
% 1.61/1.28 inference(rectify,[],[f3])).
% 1.61/1.28
% 1.61/1.28 tff(f5,plain,(
% 1.61/1.28 ! [X0 : '$ki_world'] : ((~p(X0) | ~p(X0)) | ~'$ki_accessible'('$ki_local_world',X0)) <~> ! [X1 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X1) | ~p(X1))),
% 1.61/1.28 inference(ennf_transformation,[],[f4])).
% 1.61/1.28
% 1.61/1.28 tff(f6,plain,(
% 1.61/1.28 ! [X0 : '$ki_world'] : (~p(X0) | ~p(X0) | ~'$ki_accessible'('$ki_local_world',X0)) <~> ! [X1 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X1) | ~p(X1))),
% 1.61/1.28 inference(flattening,[],[f5])).
% 1.61/1.28
% 1.61/1.28 tff(f7,plain,(
% 1.61/1.28 (? [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) & p(X1)) | ? [X0 : '$ki_world'] : (p(X0) & p(X0) & '$ki_accessible'('$ki_local_world',X0))) & (! [X1 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X1) | ~p(X1)) | ! [X0 : '$ki_world'] : (~p(X0) | ~p(X0) | ~'$ki_accessible'('$ki_local_world',X0)))),
% 1.61/1.28 inference(nnf_transformation,[],[f6])).
% 1.61/1.28
% 1.61/1.28 tff(f8,plain,(
% 1.61/1.28 (? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & p(X0)) | ? [X1 : '$ki_world'] : (p(X1) & p(X1) & '$ki_accessible'('$ki_local_world',X1))) & (! [X2 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X2) | ~p(X2)) | ! [X3 : '$ki_world'] : (~p(X3) | ~p(X3) | ~'$ki_accessible'('$ki_local_world',X3)))),
% 1.61/1.28 inference(rectify,[],[f7])).
% 1.61/1.28
% 1.61/1.28 tff(f9,plain,(
% 1.61/1.28 (('$ki_accessible'('$ki_local_world',sK0) & p(sK0)) | (p(sK1) & p(sK1) & '$ki_accessible'('$ki_local_world',sK1))) & (! [X2 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X2) | ~p(X2)) | ! [X3 : '$ki_world'] : (~p(X3) | ~p(X3) | ~'$ki_accessible'('$ki_local_world',X3)))),
% 1.61/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f8])).
% 1.61/1.28
% 1.61/1.28 tff(f12,plain,(
% 1.61/1.28 p(sK0) | '$ki_accessible'('$ki_local_world',sK1)),
% 1.61/1.28 inference(cnf_transformation,[],[f9])).
% 1.61/1.28
% 1.61/1.28 tff(f13,plain,(
% 1.61/1.28 p(sK0) | p(sK1)),
% 1.61/1.28 inference(cnf_transformation,[],[f9])).
% 1.61/1.28
% 1.61/1.28 tff(f15,plain,(
% 1.61/1.28 '$ki_accessible'('$ki_local_world',sK0) | '$ki_accessible'('$ki_local_world',sK1)),
% 1.61/1.28 inference(cnf_transformation,[],[f9])).
% 1.61/1.28
% 1.61/1.28 tff(f16,plain,(
% 1.61/1.28 '$ki_accessible'('$ki_local_world',sK0) | p(sK1)),
% 1.61/1.28 inference(cnf_transformation,[],[f9])).
% 1.61/1.28
% 1.61/1.28 tcf(c_51,negated_conjecture,
% 1.61/1.28 ('$ki_accessible'('$ki_local_world',sK0)|p(sK1)),
% 1.61/1.28 inference(cnf_transformation,[],[f16])).
% 1.61/1.28
% 1.61/1.28 tcf(c_52,negated_conjecture,
% 1.61/1.28 ('$ki_accessible'('$ki_local_world',sK0)|'$ki_accessible'('$ki_local_world',sK1)),
% 1.61/1.28 inference(cnf_transformation,[],[f15])).
% 1.61/1.28
% 1.61/1.28 tcf(c_54,negated_conjecture,
% 1.61/1.28 (p(sK0)|p(sK1)),
% 1.61/1.28 inference(cnf_transformation,[],[f13])).
% 1.61/1.28
% 1.61/1.28 tcf(c_55,negated_conjecture,
% 1.61/1.28 ('$ki_accessible'('$ki_local_world',sK1)|p(sK0)),
% 1.61/1.28 inference(cnf_transformation,[],[f12])).
% 1.61/1.28
% 1.61/1.28 tcf(c_56,negated_conjecture,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.61/1.28 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~'$ki_accessible'('$ki_local_world',X1_'ki_world')|
% 1.61/1.28 ~p(X0_'ki_world')|~p(X1_'ki_world')),
% 1.61/1.28 inference(cnf_transformation,[],[f25])).
% 1.61/1.28
% 1.61/1.28 tcf(c_111,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.61/1.28 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~p(X0_'ki_world')|
% 1.61/1.28 ~iPr_def_10),
% 1.61/1.28 inference(splitting,
% 1.61/1.28 [splitting(split),new_symbols(definition,[iPr_def_10])],
% 1.61/1.28 [c_56])).
% 1.61/1.28
% 1.61/1.28 tcf(c_112,negated_conjecture,
% 1.61/1.28 (iPr_def_10),
% 1.61/1.28 inference(splitting,[splitting(split),new_symbols(definition,[])],[c_56])).
% 1.61/1.28
% 1.61/1.28 tcf(c_113,negated_conjecture,
% 1.61/1.28 (iPr_def_10),
% 1.61/1.28 inference(demodulation,[status(thm)],[c_112])).
% 1.61/1.28
% 1.61/1.28 tcf(c_115,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.61/1.28 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~p(X0_'ki_world')|
% 1.61/1.28 ~iPr_def_10),
% 1.61/1.28 inference(demodulation,[status(thm)],[c_111])).
% 1.61/1.28
% 1.61/1.28 tcf(c_120,plain,
% 1.61/1.28 (~'$ki_accessible'('$ki_local_world',sK1)|~p(sK1)|~iPr_def_10),
% 1.61/1.28 inference(instantiation,[status(thm)],[c_115])).
% 1.61/1.28
% 1.61/1.28 tcf(c_121,plain,
% 1.61/1.28 (~'$ki_accessible'('$ki_local_world',sK0)|~p(sK0)|~iPr_def_10),
% 1.61/1.28 inference(instantiation,[status(thm)],[c_115])).
% 1.61/1.28
% 1.61/1.28 tcf(c_122,plain,
% 1.61/1.28 ($false),
% 1.61/1.28 inference(prop_impl_just,
% 1.61/1.28 [status(thm)],
% 1.61/1.28 [c_121,c_120,c_113,c_52,c_51,c_55,c_54])).
% 1.61/1.28
% 1.61/1.28
% 1.61/1.28 % SZS output end CNFRefutation for theBenchmark.p
% 1.61/1.28
% 1.61/1.28
%------------------------------------------------------------------------------