%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO893_11 : 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 : n009.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 1.17s 1.25s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO893_11 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 03:58:44 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.40 % Detected problem language: tptp
% 0.12/0.41 % Proving...
% 1.17/1.25 % SZS status Started for theBenchmark.p
% 1.17/1.25 % SZS status Theorem for theBenchmark.p
% 1.17/1.25
% 1.17/1.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.25
% 1.17/1.25 % ------ iProver source info
% 1.17/1.25
% 1.17/1.25 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.25 % git: non_committed_changes: false
% 1.17/1.25
% 1.17/1.25 % ------ Parsing...
% 1.17/1.25 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.17/1.25 %
% 1.17/1.25
% 1.17/1.25 % ------ Preprocessing...%
% 1.17/1.25
% 1.17/1.25 % SZS status Theorem for theBenchmark.p
% 1.17/1.25
% 1.17/1.25 % SZS output start CNFRefutation for theBenchmark.p
% 1.17/1.25
% 1.17/1.25 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.17/1.25 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.17/1.25 tff(pred_def_2, type, p: '$ki_world' > $o).
% 1.17/1.25 tff(func_def_3, type, sK3: '$ki_world' > '$ki_world').
% 1.17/1.25 tff(func_def_4, type, sK4: '$ki_world' > '$ki_world').
% 1.17/1.25 tff(func_def_5, type, sK5: '$ki_world').
% 1.17/1.25 tff(func_def_6, type, sK6: '$ki_world' > '$ki_world').
% 1.17/1.25 tff(f1,axiom,(
% 1.17/1.25 ! [X0 : '$ki_world',X1 : '$ki_world'] : '$ki_accessible'(X0,X1)),
% 1.17/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal)).
% 1.17/1.25
% 1.17/1.25 tff(f2,conjecture,(
% 1.17/1.25 ~ ! [X0 : '$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'] : ('$ki_accessible'(X0,X1) => ? [X2 : '$ki_world'] : ('$ki_accessible'(X1,X2) & ~p(X2))))),
% 1.17/1.25 file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify)).
% 1.17/1.25
% 1.17/1.25 tff(f3,negated_conjecture,(
% 1.17/1.25 ~(~ ! [X0 : '$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'] : ('$ki_accessible'(X0,X1) => ? [X2 : '$ki_world'] : ('$ki_accessible'(X1,X2) & ~p(X2)))))),
% 1.17/1.25 inference(negated_conjecture,[status(cth)],[f2])).
% 1.17/1.25
% 1.17/1.25 tff(f4,plain,(
% 1.17/1.25 ~(~ ! [X0 : '$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'] : ('$ki_accessible'(X3,X4) => ? [X5 : '$ki_world'] : ('$ki_accessible'(X4,X5) & ~p(X5)))))),
% 1.17/1.25 inference(rectify,[],[f3])).
% 1.17/1.25
% 1.17/1.25 tff(f5,plain,(
% 1.17/1.25 ? [X0 : '$ki_world'] : (! [X1 : '$ki_world'] : (~'$ki_accessible'(X0,X1) | ? [X2 : '$ki_world'] : (~p(X2) & '$ki_accessible'(X1,X2))) & '$ki_accessible'('$ki_local_world',X0)) <~> ? [X3 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X3) & ! [X4 : '$ki_world'] : (? [X5 : '$ki_world'] : ('$ki_accessible'(X4,X5) & ~p(X5)) | ~'$ki_accessible'(X3,X4)))),
% 1.17/1.25 inference(ennf_transformation,[],[f4])).
% 1.17/1.25
% 1.17/1.25 tff(f11,plain,(
% 1.17/1.25 (~sP0 | ! [X0 : '$ki_world'] : (? [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) & ! [X2 : '$ki_world'] : (p(X2) | ~'$ki_accessible'(X1,X2))) | ~'$ki_accessible'('$ki_local_world',X0))) & (sP0 | ? [X0 : '$ki_world'] : (! [X1 : '$ki_world'] : (~'$ki_accessible'(X0,X1) | ? [X2 : '$ki_world'] : (~p(X2) & '$ki_accessible'(X1,X2))) & '$ki_accessible'('$ki_local_world',X0)))),
% 1.17/1.25 inference(nnf_transformation,[],[f7])).
% 1.17/1.25
% 1.17/1.25 tff(f12,plain,(
% 1.17/1.25 (~sP0 | ! [X0 : '$ki_world'] : (? [X1 : '$ki_world'] : ('$ki_accessible'(X0,X1) & ! [X2 : '$ki_world'] : (p(X2) | ~'$ki_accessible'(X1,X2))) | ~'$ki_accessible'('$ki_local_world',X0))) & (sP0 | ? [X3 : '$ki_world'] : (! [X4 : '$ki_world'] : (~'$ki_accessible'(X3,X4) | ? [X5 : '$ki_world'] : (~p(X5) & '$ki_accessible'(X4,X5))) & '$ki_accessible'('$ki_local_world',X3)))),
% 1.17/1.25 inference(rectify,[],[f11])).
% 1.17/1.25
% 1.17/1.25 tff(f13,plain,(
% 1.17/1.25 (~sP0 | ! [X0 : '$ki_world'] : (('$ki_accessible'(X0,sK4(X0)) & ! [X2 : '$ki_world'] : (p(X2) | ~'$ki_accessible'(sK4(X0),X2))) | ~'$ki_accessible'('$ki_local_world',X0))) & (sP0 | (! [X4 : '$ki_world'] : (~'$ki_accessible'(sK5,X4) | (~p(sK6(X4)) & '$ki_accessible'(X4,sK6(X4)))) & '$ki_accessible'('$ki_local_world',sK5)))),
% 1.17/1.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X1,sK4(X0)),skolemize(X3,sK5),skolemize(X5,sK6(X4))],[f12])).
% 1.17/1.25
% 1.17/1.25 tff(f14,plain,(
% 1.17/1.25 ( ! [X0 : '$ki_world',X1 : '$ki_world'] : ('$ki_accessible'(X0,X1)) )),
% 1.17/1.25 inference(cnf_transformation,[],[f1])).
% 1.17/1.25
% 1.17/1.25 tff(f22,plain,(
% 1.17/1.25 ( ! [X4 : '$ki_world'] : (sP0 | ~'$ki_accessible'(sK5,X4) | ~p(sK6(X4))) )),
% 1.17/1.25 inference(cnf_transformation,[],[f13])).
% 1.17/1.25
% 1.17/1.25 tff(f23,plain,(
% 1.17/1.25 ( ! [X2 : '$ki_world',X0 : '$ki_world'] : (~sP0 | p(X2) | ~'$ki_accessible'(sK4(X0),X2) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.17/1.25 inference(cnf_transformation,[],[f13])).
% 1.17/1.25
% 1.17/1.25 tcf(c_49,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.17/1.25 ('$ki_accessible'(X0_'ki_world',X1_'ki_world')),
% 1.17/1.25 inference(cnf_transformation,[],[f14])).
% 1.17/1.25
% 1.17/1.25 tcf(c_56,negated_conjecture,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.17/1.25 (~'$ki_accessible'(sK4(X0_'ki_world'),X1_'ki_world')|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.17/1.25 ~sP0|p(X1_'ki_world')),
% 1.17/1.25 inference(cnf_transformation,[],[f23])).
% 1.17/1.25
% 1.17/1.25 tcf(c_57,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.17/1.25 (~'$ki_accessible'(sK5,X0_'ki_world')|~p(sK6(X0_'ki_world'))|sP0),
% 1.17/1.25 inference(cnf_transformation,[],[f22])).
% 1.17/1.25
% 1.17/1.25 tcf(c_72,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.17/1.25 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~sP0|p(X1_'ki_world')),
% 1.17/1.25 inference(backward_subsumption_resolution,[status(thm)],[c_56,c_49])).
% 1.17/1.25
% 1.17/1.25 tcf(c_74,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.25 (~p(sK6(X0_'ki_world'))|sP0),
% 1.17/1.25 inference(backward_subsumption_resolution,[status(thm)],[c_57,c_49])).
% 1.17/1.25
% 1.17/1.25 tff(f6,definition,(
% 1.17/1.25 sP0 <=> ? [X3 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X3) & ! [X4 : '$ki_world'] : (? [X5 : '$ki_world'] : ('$ki_accessible'(X4,X5) & ~p(X5)) | ~'$ki_accessible'(X3,X4)))),
% 1.17/1.25 introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction])).
% 1.17/1.25 tff(f7,plain,(
% 1.17/1.25 ? [X0 : '$ki_world'] : (! [X1 : '$ki_world'] : (~'$ki_accessible'(X0,X1) | ? [X2 : '$ki_world'] : (~p(X2) & '$ki_accessible'(X1,X2))) & '$ki_accessible'('$ki_local_world',X0)) <~> sP0),
% 1.17/1.25 inference(definition_folding,[],[f5,f6])).
% 1.17/1.25
% 1.17/1.25 tff(f8,plain,(
% 1.17/1.25 (sP0 | ! [X3 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X3) | ? [X4 : '$ki_world'] : (! [X5 : '$ki_world'] : (~'$ki_accessible'(X4,X5) | p(X5)) & '$ki_accessible'(X3,X4)))) & (? [X3 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X3) & ! [X4 : '$ki_world'] : (? [X5 : '$ki_world'] : ('$ki_accessible'(X4,X5) & ~p(X5)) | ~'$ki_accessible'(X3,X4))) | ~sP0)),
% 1.17/1.25 inference(nnf_transformation,[],[f6])).
% 1.17/1.25
% 1.17/1.25 tff(f9,plain,(
% 1.17/1.25 (sP0 | ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | ? [X1 : '$ki_world'] : (! [X2 : '$ki_world'] : (~'$ki_accessible'(X1,X2) | p(X2)) & '$ki_accessible'(X0,X1)))) & (? [X3 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X3) & ! [X4 : '$ki_world'] : (? [X5 : '$ki_world'] : ('$ki_accessible'(X4,X5) & ~p(X5)) | ~'$ki_accessible'(X3,X4))) | ~sP0)),
% 1.17/1.25 inference(rectify,[],[f8])).
% 1.17/1.25
% 1.17/1.25 tff(f10,plain,(
% 1.17/1.25 (sP0 | ! [X0 : '$ki_world'] : (~'$ki_accessible'('$ki_local_world',X0) | (! [X2 : '$ki_world'] : (~'$ki_accessible'(sK1(X0),X2) | p(X2)) & '$ki_accessible'(X0,sK1(X0))))) & (('$ki_accessible'('$ki_local_world',sK2) & ! [X4 : '$ki_world'] : (('$ki_accessible'(X4,sK3(X4)) & ~p(sK3(X4))) | ~'$ki_accessible'(sK2,X4))) | ~sP0)),
% 1.17/1.25 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X1,sK1(X0)),skolemize(X3,sK2),skolemize(X5,sK3(X4))],[f9])).
% 1.17/1.25
% 1.17/1.25 tff(f15,plain,(
% 1.17/1.25 ( ! [X4 : '$ki_world'] : (~p(sK3(X4)) | ~'$ki_accessible'(sK2,X4) | ~sP0) )),
% 1.17/1.25 inference(cnf_transformation,[],[f10])).
% 1.17/1.25
% 1.17/1.25 tff(f19,plain,(
% 1.17/1.25 ( ! [X2 : '$ki_world',X0 : '$ki_world'] : (sP0 | ~'$ki_accessible'('$ki_local_world',X0) | ~'$ki_accessible'(sK1(X0),X2) | p(X2)) )),
% 1.17/1.25 inference(cnf_transformation,[],[f10])).
% 1.17/1.25
% 1.17/1.25 tcf(c_50,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.17/1.25 (~'$ki_accessible'(sK1(X0_'ki_world'),X1_'ki_world')|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.17/1.25 p(X1_'ki_world')|sP0),
% 1.17/1.25 inference(cnf_transformation,[],[f19])).
% 1.17/1.25
% 1.17/1.25 tcf(c_54,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.25 (~'$ki_accessible'(sK2,X0_'ki_world')|~p(sK3(X0_'ki_world'))|~sP0),
% 1.17/1.25 inference(cnf_transformation,[],[f15])).
% 1.17/1.25
% 1.17/1.25 tcf(c_71,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.17/1.25 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|p(X1_'ki_world')|sP0),
% 1.17/1.25 inference(backward_subsumption_resolution,[status(thm)],[c_50,c_49])).
% 1.17/1.25
% 1.17/1.25 tcf(c_73,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.25 (~p(sK3(X0_'ki_world'))|~sP0),
% 1.17/1.25 inference(backward_subsumption_resolution,[status(thm)],[c_54,c_49])).
% 1.17/1.25
% 1.17/1.25 tcf(c_79,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.17/1.25 (p(X1_'ki_world')|~'$ki_accessible'('$ki_local_world',X0_'ki_world')),
% 1.17/1.25 inference(global_subsumption_just,[status(thm)],[c_71,c_72,c_71])).
% 1.17/1.25
% 1.17/1.25 tcf(c_80,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.17/1.25 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|p(X1_'ki_world')),
% 1.17/1.25 inference(renaming,[status(thm)],[c_79])).
% 1.17/1.25
% 1.17/1.25 tcf(c_92,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.25 (p(X0_'ki_world')),
% 1.17/1.25 inference(forward_subsumption_resolution,[status(thm)],[c_80,c_49])).
% 1.17/1.25
% 1.17/1.25 tcf(c_97,plain,
% 1.17/1.25 (~sP0),
% 1.17/1.25 inference(backward_subsumption_resolution,[status(thm)],[c_73,c_92])).
% 1.17/1.25
% 1.17/1.25 tcf(c_98,plain,
% 1.17/1.25 (sP0),
% 1.17/1.25 inference(backward_subsumption_resolution,[status(thm)],[c_74,c_92])).
% 1.17/1.25
% 1.17/1.25 tcf(c_99,plain,
% 1.17/1.25 ($false),
% 1.17/1.25 inference(prop_impl_just,[status(thm)],[c_97,c_98])).
% 1.17/1.25
% 1.17/1.25
% 1.17/1.25 % SZS output end CNFRefutation for theBenchmark.p
% 1.17/1.25
% 1.17/1.25
%------------------------------------------------------------------------------