%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO887_22 : 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 : n007.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 03:52:15 PM UTC 2026
% Result : Theorem 1.17s 1.27s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO887_22 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 03:55:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 0.10/0.41
% 0.10/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.41
% 0.10/0.41 % Detected problem language: tptp
% 0.10/0.42 % Proving...
% 1.17/1.27 % SZS status Started for theBenchmark.p
% 1.17/1.27 % SZS status Theorem for theBenchmark.p
% 1.17/1.27
% 1.17/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.27
% 1.17/1.27 % ------ iProver source info
% 1.17/1.27
% 1.17/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.27 % git: non_committed_changes: false
% 1.17/1.27
% 1.17/1.27 % ------ Parsing...
% 1.17/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.17/1.27 %
% 1.17/1.27
% 1.17/1.27 % ------ Preprocessing... pe_s %
% 1.17/1.27
% 1.17/1.27 % SZS status Theorem for theBenchmark.p
% 1.17/1.27
% 1.17/1.27 % SZS output start CNFRefutation for theBenchmark.p
% 1.17/1.27
% 1.17/1.27 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.17/1.27 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.17/1.27 tff(pred_def_2, type, f: ('$ki_world' * $i) > $o).
% 1.17/1.27 tff(pred_def_3, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.17/1.27 tff(type_def_5, type, '$ki_world': $tType).
% 1.17/1.27 tff(f1,axiom,(
% 1.17/1.27 ! [X0 : '$ki_world'] : '$ki_accessible'(X0,X0)),
% 1.17/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive)).
% 1.17/1.27
% 1.17/1.27 tff(f5,conjecture,(
% 1.17/1.27 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & f(X0,X1))) => ? [X1 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X1) & ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & f(X0,X1)))),
% 1.17/1.27 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.17/1.27
% 1.17/1.27 tff(f6,negated_conjecture,(
% 1.17/1.27 ~(! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & f(X0,X1))) => ? [X1 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X1) & ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & f(X0,X1))))),
% 1.17/1.27 inference(negated_conjecture,[status(cth)],[f5])).
% 1.17/1.27
% 1.17/1.27 tff(f7,plain,(
% 1.17/1.27 ~(! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & f(X0,X1))) => ? [X2 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X2) & ? [X3 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X3) & f(X3,X2))))),
% 1.17/1.27 inference(rectify,[],[f6])).
% 1.17/1.27
% 1.17/1.27 tff(f12,plain,(
% 1.17/1.27 ! [X2 : $i] : (~'$ki_exists_in_world_$i'('$ki_local_world',X2) | ! [X3 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X3) | ~f(X3,X2))) & ! [X0 : '$ki_world'] : (? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & f(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.17/1.27 inference(ennf_transformation,[],[f7])).
% 1.17/1.27
% 1.17/1.27 tff(f14,plain,(
% 1.17/1.27 ! [X0 : $i] : (~'$ki_exists_in_world_$i'('$ki_local_world',X0) | ! [X1 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X1) | ~f(X1,X0))) & ! [X2 : '$ki_world'] : (? [X3 : $i] : ('$ki_exists_in_world_$i'(X2,X3) & f(X2,X3)) | ~'$ki_accessible'('$ki_local_world',X2))),
% 1.17/1.27 inference(rectify,[],[f12])).
% 1.17/1.27
% 1.17/1.27 tff(f15,plain,(
% 1.17/1.27 ! [X0 : $i] : (~'$ki_exists_in_world_$i'('$ki_local_world',X0) | ! [X1 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X1) | ~f(X1,X0))) & ! [X2 : '$ki_world'] : (('$ki_exists_in_world_$i'(X2,sK1(X2)) & f(X2,sK1(X2))) | ~'$ki_accessible'('$ki_local_world',X2))),
% 1.17/1.27 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X2))],[f14])).
% 1.17/1.27
% 1.17/1.27 tff(f16,plain,(
% 1.17/1.27 ( ! [X0 : '$ki_world'] : ('$ki_accessible'(X0,X0)) )),
% 1.17/1.27 inference(cnf_transformation,[],[f1])).
% 1.17/1.27
% 1.17/1.27 tff(f20,plain,(
% 1.17/1.27 ( ! [X2 : '$ki_world'] : (f(X2,sK1(X2)) | ~'$ki_accessible'('$ki_local_world',X2)) )),
% 1.17/1.27 inference(cnf_transformation,[],[f15])).
% 1.17/1.27
% 1.17/1.27 tff(f21,plain,(
% 1.17/1.27 ( ! [X2 : '$ki_world'] : ('$ki_exists_in_world_$i'(X2,sK1(X2)) | ~'$ki_accessible'('$ki_local_world',X2)) )),
% 1.17/1.27 inference(cnf_transformation,[],[f15])).
% 1.17/1.27
% 1.17/1.27 tff(f22,plain,(
% 1.17/1.27 ( ! [X0 : $i,X1 : '$ki_world'] : (~'$ki_exists_in_world_$i'('$ki_local_world',X0) | ~'$ki_accessible'('$ki_local_world',X1) | ~f(X1,X0)) )),
% 1.17/1.27 inference(cnf_transformation,[],[f15])).
% 1.17/1.27
% 1.17/1.27 tcf(c_49,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.27 ('$ki_accessible'(X0_'ki_world',X0_'ki_world')),
% 1.17/1.27 inference(cnf_transformation,[],[f16])).
% 1.17/1.27
% 1.17/1.27 tcf(c_53,negated_conjecture,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.17/1.27 (~f(X0_'ki_world',X0)|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.17/1.27 ~'$ki_exists_in_world('$ki_local_world',X0)),
% 1.17/1.27 inference(cnf_transformation,[],[f22])).
% 1.17/1.27
% 1.17/1.27 tcf(c_54,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.17/1.27 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|'$ki_exists_in_world(X0_'ki_world',sK1(X0_'ki_world'))),
% 1.17/1.27 inference(cnf_transformation,[],[f21])).
% 1.17/1.27
% 1.17/1.27 tcf(c_55,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.17/1.27 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|f(X0_'ki_world',sK1(X0_'ki_world'))),
% 1.17/1.27 inference(cnf_transformation,[],[f20])).
% 1.17/1.27
% 1.17/1.27 tcf(c_56,plain,
% 1.17/1.27 ('$ki_accessible'('$ki_local_world','$ki_local_world')),
% 1.17/1.27 inference(instantiation,[status(thm)],[c_49])).
% 1.17/1.27
% 1.17/1.27 tcf(c_59,plain,
% 1.17/1.27 (~'$ki_accessible'('$ki_local_world','$ki_local_world')|'$ki_exists_in_world('$ki_local_world',sK1('$ki_local_world'))),
% 1.17/1.27 inference(instantiation,[status(thm)],[c_54])).
% 1.17/1.27
% 1.17/1.27 tcf(c_91,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.27 (~'$ki_exists_in_world('$ki_local_world',sK1(X0_'ki_world'))|~'$ki_accessible'('$ki_local_world',X0_'ki_world')),
% 1.17/1.27 inference(resolution,[status(thm)],[c_53,c_55])).
% 1.17/1.27
% 1.17/1.27 tcf(c_92,plain,
% 1.17/1.27 (~'$ki_exists_in_world('$ki_local_world',sK1('$ki_local_world'))|
% 1.17/1.27 ~'$ki_accessible'('$ki_local_world','$ki_local_world')),
% 1.17/1.27 inference(instantiation,[status(thm)],[c_91])).
% 1.17/1.27
% 1.17/1.27 tcf(c_93,plain,
% 1.17/1.27 ($false),
% 1.17/1.27 inference(prop_impl_just,[status(thm)],[c_92,c_59,c_56])).
% 1.17/1.27
% 1.17/1.27
% 1.17/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 1.17/1.27
% 1.17/1.27
%------------------------------------------------------------------------------