%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PLA053_2 : 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 02:31:07 PM UTC 2026
% Result : Theorem 1.17s 1.47s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA053_2 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.56 % Computer : n009.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Thu Sep 24 06:21:59 UTC 2026
% 0.10/0.56 % CPUTime :
% 0.10/0.57 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.60 Running first-order theorem proving
% 0.10/0.60 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
% 0.10/0.61
% 0.10/0.61 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.61
% 0.10/0.62 % Detected problem language: tptp
% 0.14/0.63 % Proving...
% 1.17/1.47 % SZS status Started for theBenchmark.p
% 1.17/1.47 % SZS status Theorem for theBenchmark.p
% 1.17/1.47
% 1.17/1.47 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.47
% 1.17/1.47 % ------ iProver source info
% 1.17/1.47
% 1.17/1.47 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.47 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.47 % git: non_committed_changes: false
% 1.17/1.47
% 1.17/1.47 % ------ Parsing...
% 1.17/1.47 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.17/1.47 %
% 1.17/1.47
% 1.17/1.47 % ------ Preprocessing... pe_s pe:1:0s%
% 1.17/1.47
% 1.17/1.47 % SZS status Theorem for theBenchmark.p
% 1.17/1.47
% 1.17/1.47 % SZS output start CNFRefutation for theBenchmark.p
% 1.17/1.47
% 1.17/1.47 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.17/1.47 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.17/1.47 tff(pred_def_2, type, h: ('$ki_world' * $i) > $o).
% 1.17/1.47 tff(pred_def_3, type, bomb: ('$ki_world' * $i) > $o).
% 1.17/1.47 tff(pred_def_4, type, defused: ('$ki_world' * $i) > $o).
% 1.17/1.47 tff(pred_def_5, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.17/1.47 tff(f1,axiom,(
% 1.17/1.47 ! [X0 : '$ki_world'] : '$ki_accessible'(X0,X0)),
% 1.17/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)).
% 1.17/1.47
% 1.17/1.47 tff(f2,axiom,(
% 1.17/1.47 ! [X0 : '$ki_world',X1 : $i] : '$ki_exists_in_world_$i'(X0,X1)),
% 1.17/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const')).
% 1.17/1.47
% 1.17/1.47 tff(f6,axiom,(
% 1.17/1.47 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ! [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) => ? [X2 : $i] : ('$ki_exists_in_world_$i'(X0,X2) & ! [X3 : '$ki_world'] : ('$ki_accessible'(X0,X3) => ((bomb(X3,X1) & h(X3,X2)) => defused(X3,X1))))))),
% 1.17/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)).
% 1.17/1.47
% 1.17/1.47 tff(f7,conjecture,(
% 1.17/1.47 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ! [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) => ? [X2 : $i] : ('$ki_exists_in_world_$i'(X0,X2) & ((bomb(X0,X1) & h(X0,X2)) => defused(X0,X1)))))),
% 1.17/1.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify)).
% 1.17/1.47
% 1.17/1.47 tff(f8,negated_conjecture,(
% 1.17/1.47 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ! [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) => ? [X2 : $i] : ('$ki_exists_in_world_$i'(X0,X2) & ((bomb(X0,X1) & h(X0,X2)) => defused(X0,X1)))))),
% 1.17/1.47 inference(negated_conjecture,[status(cth)],[f7])).
% 1.17/1.47
% 1.17/1.47 tff(f12,plain,(
% 1.17/1.47 ! [X0 : '$ki_world'] : (! [X1 : $i] : (? [X2 : $i] : ('$ki_exists_in_world_$i'(X0,X2) & ! [X3 : '$ki_world'] : ((defused(X3,X1) | (~bomb(X3,X1) | ~h(X3,X2))) | ~'$ki_accessible'(X0,X3))) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.17/1.47 inference(ennf_transformation,[],[f6])).
% 1.17/1.47
% 1.17/1.47 tff(f13,plain,(
% 1.17/1.47 ! [X0 : '$ki_world'] : (! [X1 : $i] : (? [X2 : $i] : ('$ki_exists_in_world_$i'(X0,X2) & ! [X3 : '$ki_world'] : (defused(X3,X1) | ~bomb(X3,X1) | ~h(X3,X2) | ~'$ki_accessible'(X0,X3))) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.17/1.47 inference(flattening,[],[f12])).
% 1.17/1.47
% 1.17/1.47 tff(f14,plain,(
% 1.17/1.47 ? [X0 : '$ki_world'] : (? [X1 : $i] : (! [X2 : $i] : (~'$ki_exists_in_world_$i'(X0,X2) | (~defused(X0,X1) & (bomb(X0,X1) & h(X0,X2)))) & '$ki_exists_in_world_$i'(X0,X1)) & '$ki_accessible'('$ki_local_world',X0))),
% 1.17/1.47 inference(ennf_transformation,[],[f8])).
% 1.17/1.47
% 1.17/1.47 tff(f15,plain,(
% 1.17/1.47 ? [X0 : '$ki_world'] : (? [X1 : $i] : (! [X2 : $i] : (~'$ki_exists_in_world_$i'(X0,X2) | (~defused(X0,X1) & bomb(X0,X1) & h(X0,X2))) & '$ki_exists_in_world_$i'(X0,X1)) & '$ki_accessible'('$ki_local_world',X0))),
% 1.17/1.47 inference(flattening,[],[f14])).
% 1.17/1.47
% 1.17/1.47 tff(f19,plain,(
% 1.17/1.47 ! [X0 : '$ki_world'] : (! [X1 : $i] : (('$ki_exists_in_world_$i'(X0,sK3(X0,X1)) & ! [X3 : '$ki_world'] : (defused(X3,X1) | ~bomb(X3,X1) | ~h(X3,sK3(X0,X1)) | ~'$ki_accessible'(X0,X3))) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.17/1.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f13])).
% 1.17/1.47
% 1.17/1.47 tff(f20,plain,(
% 1.17/1.47 (! [X2 : $i] : (~'$ki_exists_in_world_$i'(sK4,X2) | (~defused(sK4,sK5) & bomb(sK4,sK5) & h(sK4,X2))) & '$ki_exists_in_world_$i'(sK4,sK5)) & '$ki_accessible'('$ki_local_world',sK4)),
% 1.17/1.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f15])).
% 1.17/1.47
% 1.17/1.47 tff(f21,plain,(
% 1.17/1.47 ( ! [X0 : '$ki_world'] : ('$ki_accessible'(X0,X0)) )),
% 1.17/1.47 inference(cnf_transformation,[],[f1])).
% 1.17/1.47
% 1.17/1.47 tff(f22,plain,(
% 1.17/1.47 ( ! [X0 : '$ki_world',X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1)) )),
% 1.17/1.47 inference(cnf_transformation,[],[f2])).
% 1.17/1.47
% 1.17/1.47 tff(f28,plain,(
% 1.17/1.47 ( ! [X3 : '$ki_world',X0 : '$ki_world',X1 : $i] : (defused(X3,X1) | ~bomb(X3,X1) | ~h(X3,sK3(X0,X1)) | ~'$ki_accessible'(X0,X3) | ~'$ki_exists_in_world_$i'(X0,X1) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.17/1.47 inference(cnf_transformation,[],[f19])).
% 1.17/1.47
% 1.17/1.47 tff(f30,plain,(
% 1.17/1.47 '$ki_accessible'('$ki_local_world',sK4)),
% 1.17/1.47 inference(cnf_transformation,[],[f20])).
% 1.17/1.47
% 1.17/1.47 tff(f31,plain,(
% 1.17/1.47 '$ki_exists_in_world_$i'(sK4,sK5)),
% 1.17/1.47 inference(cnf_transformation,[],[f20])).
% 1.17/1.47
% 1.17/1.47 tff(f32,plain,(
% 1.17/1.47 ( ! [X2 : $i] : (~'$ki_exists_in_world_$i'(sK4,X2) | h(sK4,X2)) )),
% 1.17/1.47 inference(cnf_transformation,[],[f20])).
% 1.17/1.47
% 1.17/1.47 tff(f33,plain,(
% 1.17/1.47 ( ! [X2 : $i] : (~'$ki_exists_in_world_$i'(sK4,X2) | bomb(sK4,sK5)) )),
% 1.17/1.47 inference(cnf_transformation,[],[f20])).
% 1.17/1.47
% 1.17/1.47 tff(f34,plain,(
% 1.17/1.47 ( ! [X2 : $i] : (~'$ki_exists_in_world_$i'(sK4,X2) | ~defused(sK4,sK5)) )),
% 1.17/1.47 inference(cnf_transformation,[],[f20])).
% 1.17/1.47
% 1.17/1.47 tcf(c_49,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.47 ('$ki_accessible'(X0_'ki_world',X0_'ki_world')),
% 1.17/1.47 inference(cnf_transformation,[],[f21])).
% 1.17/1.47
% 1.17/1.47 tcf(c_50,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.17/1.47 ('$ki_exists_in_world(X0_'ki_world',X0)),
% 1.17/1.47 inference(cnf_transformation,[],[f22])).
% 1.17/1.47
% 1.17/1.47 tcf(c_57,plain,![X0:$i,X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.17/1.47 (~h(X0_'ki_world',sK3(X1_'ki_world',X0))|~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|
% 1.17/1.47 ~bomb(X0_'ki_world',X0)|~'$ki_exists_in_world(X1_'ki_world',X0)|~'$ki_accessible'('$ki_local_world',X1_'ki_world')|
% 1.17/1.47 defused(X0_'ki_world',X0)),
% 1.17/1.47 inference(cnf_transformation,[],[f28])).
% 1.17/1.47
% 1.17/1.47 tcf(c_58,negated_conjecture,![X0:$i]:
% 1.17/1.47 (~'$ki_exists_in_world(sK4,X0)|~defused(sK4,sK5)),
% 1.17/1.47 inference(cnf_transformation,[],[f34])).
% 1.17/1.47
% 1.17/1.47 tcf(c_59,negated_conjecture,![X0:$i]:
% 1.17/1.47 (~'$ki_exists_in_world(sK4,X0)|bomb(sK4,sK5)),
% 1.17/1.47 inference(cnf_transformation,[],[f33])).
% 1.17/1.47
% 1.17/1.47 tcf(c_60,negated_conjecture,![X0:$i]:
% 1.17/1.47 (~'$ki_exists_in_world(sK4,X0)|h(sK4,X0)),
% 1.17/1.47 inference(cnf_transformation,[],[f32])).
% 1.17/1.47
% 1.17/1.47 tcf(c_61,negated_conjecture,
% 1.17/1.47 ('$ki_exists_in_world(sK4,sK5)),
% 1.17/1.47 inference(cnf_transformation,[],[f31])).
% 1.17/1.47
% 1.17/1.47 tcf(c_62,negated_conjecture,
% 1.17/1.47 ('$ki_accessible'('$ki_local_world',sK4)),
% 1.17/1.47 inference(cnf_transformation,[],[f30])).
% 1.17/1.47
% 1.17/1.47 tcf(c_63,plain,
% 1.17/1.47 ('$ki_accessible'(sK4,sK4)),
% 1.17/1.47 inference(instantiation,[status(thm)],[c_49])).
% 1.17/1.47
% 1.17/1.47 tcf(c_66,plain,
% 1.17/1.47 (~'$ki_exists_in_world(sK4,sK5)|bomb(sK4,sK5)),
% 1.17/1.47 inference(instantiation,[status(thm)],[c_59])).
% 1.17/1.47
% 1.17/1.47 tcf(c_67,plain,
% 1.17/1.47 (~defused(sK4,sK5)|~'$ki_exists_in_world(sK4,sK5)),
% 1.17/1.47 inference(instantiation,[status(thm)],[c_58])).
% 1.17/1.47
% 1.17/1.47 tcf(c_74,negated_conjecture,
% 1.17/1.47 (~defused(sK4,sK5)),
% 1.17/1.47 inference(global_subsumption_just,[status(thm)],[c_58,c_61,c_67])).
% 1.17/1.47
% 1.17/1.47 tcf(c_85,plain,![X0:$i]:
% 1.17/1.47 (h(sK4,X0)),
% 1.17/1.47 inference(backward_subsumption_resolution,[status(thm)],[c_60,c_50])).
% 1.17/1.47
% 1.17/1.47 tcf(c_86,plain,![X0:$i,X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.17/1.47 (~h(X0_'ki_world',sK3(X1_'ki_world',X0))|~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|
% 1.17/1.47 ~bomb(X0_'ki_world',X0)|~'$ki_accessible'('$ki_local_world',X1_'ki_world')|
% 1.17/1.47 defused(X0_'ki_world',X0)),
% 1.17/1.47 inference(backward_subsumption_resolution,[status(thm)],[c_57,c_50])).
% 1.17/1.47
% 1.17/1.47 tcf(c_121,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.47 (~h(sK4,sK3(X0_'ki_world',sK5))|~'$ki_accessible'(X0_'ki_world',sK4)|
% 1.17/1.47 ~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~bomb(sK4,sK5)),
% 1.17/1.47 inference(resolution,[status(thm)],[c_86,c_74])).
% 1.17/1.47
% 1.17/1.47 tcf(c_123,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.47 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~'$ki_accessible'(X0_'ki_world',sK4)|
% 1.17/1.47 ~h(sK4,sK3(X0_'ki_world',sK5))),
% 1.17/1.47 inference(global_subsumption_just,[status(thm)],[c_121,c_61,c_66,c_121])).
% 1.17/1.47
% 1.17/1.47 tcf(c_124,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.47 (~h(sK4,sK3(X0_'ki_world',sK5))|~'$ki_accessible'(X0_'ki_world',sK4)|
% 1.17/1.47 ~'$ki_accessible'('$ki_local_world',X0_'ki_world')),
% 1.17/1.47 inference(renaming,[status(thm)],[c_123])).
% 1.17/1.47
% 1.17/1.47 tcf(c_132,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.47 (~'$ki_accessible'(X0_'ki_world',sK4)|~'$ki_accessible'('$ki_local_world',X0_'ki_world')),
% 1.17/1.47 inference(forward_subsumption_resolution,[status(thm)],[c_124,c_85])).
% 1.17/1.47
% 1.17/1.47 tcf(c_135,plain,
% 1.17/1.47 (~'$ki_accessible'('$ki_local_world',sK4)|~'$ki_accessible'(sK4,sK4)),
% 1.17/1.47 inference(instantiation,[status(thm)],[c_132])).
% 1.17/1.47
% 1.17/1.47 tcf(c_136,plain,
% 1.17/1.47 ($false),
% 1.17/1.47 inference(prop_impl_just,[status(thm)],[c_135,c_63,c_62])).
% 1.17/1.47
% 1.17/1.47
% 1.17/1.47 % SZS output end CNFRefutation for theBenchmark.p
% 1.17/1.47
% 1.17/1.47
%------------------------------------------------------------------------------