%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO902_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 : n019.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 03:52:18 PM UTC 2026
% Result : Theorem 1.14s 1.28s
% Output : CNFRefutation 1.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO902_8 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n019.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 03:59:04 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 1.14/1.28 % SZS status Started for theBenchmark.p
% 1.14/1.28 % SZS status Theorem for theBenchmark.p
% 1.14/1.28
% 1.14/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.14/1.28
% 1.14/1.28 % ------ iProver source info
% 1.14/1.28
% 1.14/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.14/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.14/1.28 % git: non_committed_changes: false
% 1.14/1.28
% 1.14/1.28 % ------ Parsing...
% 1.14/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.14/1.28 %
% 1.14/1.28
% 1.14/1.28 % ------ Preprocessing... pe_s %
% 1.14/1.28
% 1.14/1.28 % SZS status Theorem for theBenchmark.p
% 1.14/1.28
% 1.14/1.28 % SZS output start CNFRefutation for theBenchmark.p
% 1.14/1.28
% 1.14/1.28 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.14/1.28 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.14/1.28 tff(pred_def_2, type, p: '$ki_world' > $o).
% 1.14/1.28 tff(type_def_5, type, '$ki_world': $tType).
% 1.14/1.28 tff(f1,axiom,(
% 1.14/1.28 ! [X0 : '$ki_world'] : '$ki_accessible'(X0,X0)),
% 1.14/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive)).
% 1.14/1.28
% 1.14/1.28 tff(f2,conjecture,(
% 1.14/1.28 ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => ? [X2 : '$ki_world'] : ('$ki_accessible'(X1,X2) & p(X2)))) => ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & ? [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) & p(X1)))),
% 1.14/1.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.14/1.28
% 1.14/1.28 tff(f3,negated_conjecture,(
% 1.14/1.28 ~(? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => ? [X2 : '$ki_world'] : ('$ki_accessible'(X1,X2) & p(X2)))) => ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & ? [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) & p(X1))))),
% 1.14/1.28 inference(negated_conjecture,[status(cth)],[f2])).
% 1.14/1.28
% 1.14/1.28 tff(f4,plain,(
% 1.14/1.28 ~(? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) => ? [X2 : '$ki_world'] : ('$ki_accessible'(X1,X2) & p(X2)))) => ? [X3 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X3) & ? [X4 : '$ki_world'] : ('$ki_accessible'(X3,X4) & p(X4))))),
% 1.14/1.28 inference(rectify,[],[f3])).
% 1.14/1.28
% 1.14/1.28 tff(f5,plain,(
% 1.14/1.28 ! [X3 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X3) | ! [X4 : '$ki_world'] : (~'$ki_accessible'(X3,X4) | ~p(X4))) & ? [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : (? [X2 : '$ki_world'] : ('$ki_accessible'(X1,X2) & p(X2)) | ~'$ki_accessible'(X0,X1)))),
% 1.14/1.28 inference(ennf_transformation,[],[f4])).
% 1.14/1.28
% 1.14/1.28 tff(f6,plain,(
% 1.14/1.28 ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ! [X1 : '$ki_world'] : (~'$ki_accessible'(X0,X1) | ~p(X1))) & ? [X2 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X2) & ! [X3 : '$ki_world'] : (? [X4 : '$ki_world'] : ('$ki_accessible'(X3,X4) & p(X4)) | ~'$ki_accessible'(X2,X3)))),
% 1.14/1.28 inference(rectify,[],[f5])).
% 1.14/1.28
% 1.14/1.28 tff(f7,plain,(
% 1.14/1.28 ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ! [X1 : '$ki_world'] : (~'$ki_accessible'(X0,X1) | ~p(X1))) & ('$ki_accessible'('$ki_local_world',sK0) & ! [X3 : '$ki_world'] : (('$ki_accessible'(X3,sK1(X3)) & p(sK1(X3))) | ~'$ki_accessible'(sK0,X3)))),
% 1.14/1.28 inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0),skolemize(X4,sK1(X3))],[f6])).
% 1.14/1.28
% 1.14/1.28 tff(f8,plain,(
% 1.14/1.28 ( ! [X0 : '$ki_world'] : ('$ki_accessible'(X0,X0)) )),
% 1.14/1.28 inference(cnf_transformation,[],[f1])).
% 1.14/1.28
% 1.14/1.28 tff(f9,plain,(
% 1.14/1.28 ( ! [X3 : '$ki_world'] : (p(sK1(X3)) | ~'$ki_accessible'(sK0,X3)) )),
% 1.14/1.28 inference(cnf_transformation,[],[f7])).
% 1.14/1.28
% 1.14/1.28 tff(f10,plain,(
% 1.14/1.28 ( ! [X3 : '$ki_world'] : ('$ki_accessible'(X3,sK1(X3)) | ~'$ki_accessible'(sK0,X3)) )),
% 1.14/1.28 inference(cnf_transformation,[],[f7])).
% 1.14/1.28
% 1.14/1.28 tff(f11,plain,(
% 1.14/1.28 '$ki_accessible'('$ki_local_world',sK0)),
% 1.14/1.28 inference(cnf_transformation,[],[f7])).
% 1.14/1.28
% 1.14/1.28 tff(f12,plain,(
% 1.14/1.28 ( ! [X0 : '$ki_world',X1 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ~'$ki_accessible'(X0,X1) | ~p(X1)) )),
% 1.14/1.28 inference(cnf_transformation,[],[f7])).
% 1.14/1.28
% 1.14/1.28 tcf(c_49,plain,![X0_'ki_world':'$ki_world']:
% 1.14/1.28 ('$ki_accessible'(X0_'ki_world',X0_'ki_world')),
% 1.14/1.28 inference(cnf_transformation,[],[f8])).
% 1.14/1.28
% 1.14/1.28 tcf(c_50,negated_conjecture,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.14/1.28 (~'$ki_accessible'(X0_'ki_world',X1_'ki_world')|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.14/1.28 ~p(X1_'ki_world')),
% 1.14/1.28 inference(cnf_transformation,[],[f12])).
% 1.14/1.28
% 1.14/1.28 tcf(c_51,negated_conjecture,
% 1.14/1.28 ('$ki_accessible'('$ki_local_world',sK0)),
% 1.14/1.28 inference(cnf_transformation,[],[f11])).
% 1.14/1.28
% 1.14/1.28 tcf(c_52,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.14/1.28 (~'$ki_accessible'(sK0,X0_'ki_world')|'$ki_accessible'(X0_'ki_world',sK1(X0_'ki_world'))),
% 1.14/1.28 inference(cnf_transformation,[],[f10])).
% 1.14/1.28
% 1.14/1.28 tcf(c_53,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.14/1.28 (~'$ki_accessible'(sK0,X0_'ki_world')|p(sK1(X0_'ki_world'))),
% 1.14/1.28 inference(cnf_transformation,[],[f9])).
% 1.14/1.28
% 1.14/1.28 tcf(c_54,plain,
% 1.14/1.28 ('$ki_accessible'(sK0,sK0)),
% 1.14/1.28 inference(instantiation,[status(thm)],[c_49])).
% 1.14/1.28
% 1.14/1.28 tcf(c_56,plain,
% 1.14/1.28 (~'$ki_accessible'(sK0,sK0)|'$ki_accessible'(sK0,sK1(sK0))),
% 1.14/1.28 inference(instantiation,[status(thm)],[c_52])).
% 1.14/1.28
% 1.14/1.28 tcf(c_76,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.14/1.28 (~'$ki_accessible'(X0_'ki_world',sK1(X1_'ki_world'))|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.14/1.28 ~'$ki_accessible'(sK0,X1_'ki_world')),
% 1.14/1.28 inference(resolution,[status(thm)],[c_50,c_53])).
% 1.14/1.28
% 1.14/1.28 tcf(c_77,plain,
% 1.14/1.28 (~'$ki_accessible'(sK0,sK1(sK0))|~'$ki_accessible'('$ki_local_world',sK0)|
% 1.14/1.28 ~'$ki_accessible'(sK0,sK0)),
% 1.14/1.28 inference(instantiation,[status(thm)],[c_76])).
% 1.14/1.28
% 1.14/1.28 tcf(c_78,plain,
% 1.14/1.28 ($false),
% 1.14/1.28 inference(prop_impl_just,[status(thm)],[c_77,c_56,c_54,c_51])).
% 1.14/1.28
% 1.14/1.28
% 1.14/1.28 % SZS output end CNFRefutation for theBenchmark.p
% 1.14/1.28
% 1.14/1.28
%------------------------------------------------------------------------------