%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYO888_10 : 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 : n002.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 03:52:16 PM UTC 2026
% Result : Theorem 1.17s 1.30s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO888_10 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.39 % Computer : n002.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Fri Sep 25 04:00:35 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.43 Running first-order theorem proving
% 0.10/0.43 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
% 0.10/0.44
% 0.10/0.44 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.44
% 0.10/0.45 % Detected problem language: tptp
% 0.15/0.46 % Proving...
% 1.17/1.30 % SZS status Started for theBenchmark.p
% 1.17/1.30 % SZS status Theorem for theBenchmark.p
% 1.17/1.30
% 1.17/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.17/1.30
% 1.17/1.30 % ------ iProver source info
% 1.17/1.30
% 1.17/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 1.17/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.17/1.30 % git: non_committed_changes: false
% 1.17/1.30
% 1.17/1.30 % ------ Parsing...
% 1.17/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.17/1.30 %
% 1.17/1.30
% 1.17/1.30 % ------ Preprocessing... pe_s pe:1:0s%
% 1.17/1.30
% 1.17/1.30 % SZS status Theorem for theBenchmark.p
% 1.17/1.30
% 1.17/1.30 % SZS output start CNFRefutation for theBenchmark.p
% 1.17/1.30
% 1.17/1.30 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.17/1.30 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.17/1.30 tff(pred_def_2, type, f: ('$ki_world' * $i) > $o).
% 1.17/1.30 tff(pred_def_3, type, g: ('$ki_world' * $i) > $o).
% 1.17/1.30 tff(pred_def_4, type, h: ('$ki_world' * $i) > $o).
% 1.17/1.30 tff(pred_def_5, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.17/1.30 tff(f1,axiom,(
% 1.17/1.30 ! [X0 : '$ki_world'] : '$ki_accessible'(X0,X0)),
% 1.17/1.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_reflexive)).
% 1.17/1.30
% 1.17/1.30 tff(f4,conjecture,(
% 1.17/1.30 (! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => (f('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => g(X1,X0)))) & ! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => (g('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => h(X1,X0))))) => ! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => (f('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => h(X1,X0))))),
% 1.17/1.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.17/1.30
% 1.17/1.30 tff(f5,negated_conjecture,(
% 1.17/1.30 ~((! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => (f('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => g(X1,X0)))) & ! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => (g('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => h(X1,X0))))) => ! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => (f('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => h(X1,X0)))))),
% 1.17/1.30 inference(negated_conjecture,[status(cth)],[f4])).
% 1.17/1.30
% 1.17/1.30 tff(f6,plain,(
% 1.17/1.30 ~((! [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) => (f('$ki_local_world',X0) => ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => g(X1,X0)))) & ! [X2 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X2) => (g('$ki_local_world',X2) => ! [X3 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X3) => h(X3,X2))))) => ! [X4 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X4) => (f('$ki_local_world',X4) => ! [X5 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X5) => h(X5,X4)))))),
% 1.17/1.30 inference(rectify,[],[f5])).
% 1.17/1.30
% 1.17/1.30 tff(f9,plain,(
% 1.17/1.30 ? [X4 : $i] : ((? [X5 : '$ki_world'] : (~h(X5,X4) & '$ki_accessible'('$ki_local_world',X5)) & f('$ki_local_world',X4)) & '$ki_exists_in_world_$i'('$ki_local_world',X4)) & (! [X0 : $i] : ((! [X1 : '$ki_world'] : (g(X1,X0) | ~'$ki_accessible'('$ki_local_world',X1)) | ~f('$ki_local_world',X0)) | ~'$ki_exists_in_world_$i'('$ki_local_world',X0)) & ! [X2 : $i] : ((! [X3 : '$ki_world'] : (h(X3,X2) | ~'$ki_accessible'('$ki_local_world',X3)) | ~g('$ki_local_world',X2)) | ~'$ki_exists_in_world_$i'('$ki_local_world',X2)))),
% 1.17/1.30 inference(ennf_transformation,[],[f6])).
% 1.17/1.30
% 1.17/1.30 tff(f10,plain,(
% 1.17/1.30 ? [X4 : $i] : (? [X5 : '$ki_world'] : (~h(X5,X4) & '$ki_accessible'('$ki_local_world',X5)) & f('$ki_local_world',X4) & '$ki_exists_in_world_$i'('$ki_local_world',X4)) & ! [X0 : $i] : (! [X1 : '$ki_world'] : (g(X1,X0) | ~'$ki_accessible'('$ki_local_world',X1)) | ~f('$ki_local_world',X0) | ~'$ki_exists_in_world_$i'('$ki_local_world',X0)) & ! [X2 : $i] : (! [X3 : '$ki_world'] : (h(X3,X2) | ~'$ki_accessible'('$ki_local_world',X3)) | ~g('$ki_local_world',X2) | ~'$ki_exists_in_world_$i'('$ki_local_world',X2))),
% 1.17/1.30 inference(flattening,[],[f9])).
% 1.17/1.30
% 1.17/1.30 tff(f12,plain,(
% 1.17/1.30 ? [X0 : $i] : (? [X1 : '$ki_world'] : (~h(X1,X0) & '$ki_accessible'('$ki_local_world',X1)) & f('$ki_local_world',X0) & '$ki_exists_in_world_$i'('$ki_local_world',X0)) & ! [X2 : $i] : (! [X3 : '$ki_world'] : (g(X3,X2) | ~'$ki_accessible'('$ki_local_world',X3)) | ~f('$ki_local_world',X2) | ~'$ki_exists_in_world_$i'('$ki_local_world',X2)) & ! [X4 : $i] : (! [X5 : '$ki_world'] : (h(X5,X4) | ~'$ki_accessible'('$ki_local_world',X5)) | ~g('$ki_local_world',X4) | ~'$ki_exists_in_world_$i'('$ki_local_world',X4))),
% 1.17/1.30 inference(rectify,[],[f10])).
% 1.17/1.30
% 1.17/1.30 tff(f13,plain,(
% 1.17/1.30 ((~h(sK2,sK1) & '$ki_accessible'('$ki_local_world',sK2)) & f('$ki_local_world',sK1) & '$ki_exists_in_world_$i'('$ki_local_world',sK1)) & ! [X2 : $i] : (! [X3 : '$ki_world'] : (g(X3,X2) | ~'$ki_accessible'('$ki_local_world',X3)) | ~f('$ki_local_world',X2) | ~'$ki_exists_in_world_$i'('$ki_local_world',X2)) & ! [X4 : $i] : (! [X5 : '$ki_world'] : (h(X5,X4) | ~'$ki_accessible'('$ki_local_world',X5)) | ~g('$ki_local_world',X4) | ~'$ki_exists_in_world_$i'('$ki_local_world',X4))),
% 1.17/1.30 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f12])).
% 1.17/1.30
% 1.17/1.30 tff(f14,plain,(
% 1.17/1.30 ( ! [X0 : '$ki_world'] : ('$ki_accessible'(X0,X0)) )),
% 1.17/1.30 inference(cnf_transformation,[],[f1])).
% 1.17/1.30
% 1.17/1.30 tff(f17,plain,(
% 1.17/1.30 ( ! [X4 : $i,X5 : '$ki_world'] : (h(X5,X4) | ~'$ki_accessible'('$ki_local_world',X5) | ~g('$ki_local_world',X4) | ~'$ki_exists_in_world_$i'('$ki_local_world',X4)) )),
% 1.17/1.30 inference(cnf_transformation,[],[f13])).
% 1.17/1.30
% 1.17/1.30 tff(f18,plain,(
% 1.17/1.30 ( ! [X2 : $i,X3 : '$ki_world'] : (g(X3,X2) | ~'$ki_accessible'('$ki_local_world',X3) | ~f('$ki_local_world',X2) | ~'$ki_exists_in_world_$i'('$ki_local_world',X2)) )),
% 1.17/1.30 inference(cnf_transformation,[],[f13])).
% 1.17/1.30
% 1.17/1.30 tff(f19,plain,(
% 1.17/1.30 '$ki_exists_in_world_$i'('$ki_local_world',sK1)),
% 1.17/1.30 inference(cnf_transformation,[],[f13])).
% 1.17/1.30
% 1.17/1.30 tff(f20,plain,(
% 1.17/1.30 f('$ki_local_world',sK1)),
% 1.17/1.30 inference(cnf_transformation,[],[f13])).
% 1.17/1.30
% 1.17/1.30 tff(f21,plain,(
% 1.17/1.30 '$ki_accessible'('$ki_local_world',sK2)),
% 1.17/1.30 inference(cnf_transformation,[],[f13])).
% 1.17/1.30
% 1.17/1.30 tff(f22,plain,(
% 1.17/1.30 ~h(sK2,sK1)),
% 1.17/1.30 inference(cnf_transformation,[],[f13])).
% 1.17/1.30
% 1.17/1.30 tcf(c_49,plain,![X0_'ki_world':'$ki_world']:
% 1.17/1.30 ('$ki_accessible'(X0_'ki_world',X0_'ki_world')),
% 1.17/1.30 inference(cnf_transformation,[],[f14])).
% 1.17/1.30
% 1.17/1.30 tcf(c_52,negated_conjecture,
% 1.17/1.30 (~h(sK2,sK1)),
% 1.17/1.30 inference(cnf_transformation,[],[f22])).
% 1.17/1.30
% 1.17/1.30 tcf(c_53,negated_conjecture,
% 1.17/1.30 ('$ki_accessible'('$ki_local_world',sK2)),
% 1.17/1.30 inference(cnf_transformation,[],[f21])).
% 1.17/1.30
% 1.17/1.30 tcf(c_54,negated_conjecture,
% 1.17/1.30 (f('$ki_local_world',sK1)),
% 1.17/1.30 inference(cnf_transformation,[],[f20])).
% 1.17/1.30
% 1.17/1.30 tcf(c_55,negated_conjecture,
% 1.17/1.30 ('$ki_exists_in_world('$ki_local_world',sK1)),
% 1.17/1.30 inference(cnf_transformation,[],[f19])).
% 1.17/1.30
% 1.17/1.30 tcf(c_56,negated_conjecture,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.17/1.30 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~f('$ki_local_world',X0)|
% 1.17/1.30 ~'$ki_exists_in_world('$ki_local_world',X0)|g(X0_'ki_world',X0)),
% 1.17/1.30 inference(cnf_transformation,[],[f18])).
% 1.17/1.30
% 1.17/1.30 tcf(c_57,negated_conjecture,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.17/1.30 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|~g('$ki_local_world',X0)|
% 1.17/1.30 ~'$ki_exists_in_world('$ki_local_world',X0)|h(X0_'ki_world',X0)),
% 1.17/1.30 inference(cnf_transformation,[],[f17])).
% 1.17/1.30
% 1.17/1.30 tcf(c_58,plain,
% 1.17/1.30 ('$ki_accessible'('$ki_local_world','$ki_local_world')),
% 1.17/1.30 inference(instantiation,[status(thm)],[c_49])).
% 1.17/1.30
% 1.17/1.30 tcf(c_61,plain,
% 1.17/1.30 (~'$ki_accessible'('$ki_local_world','$ki_local_world')|~f('$ki_local_world',sK1)|
% 1.17/1.30 ~'$ki_exists_in_world('$ki_local_world',sK1)|g('$ki_local_world',sK1)),
% 1.17/1.30 inference(instantiation,[status(thm)],[c_56])).
% 1.17/1.30
% 1.17/1.30 tcf(c_109,plain,
% 1.17/1.30 (~'$ki_accessible'('$ki_local_world',sK2)|~g('$ki_local_world',sK1)|
% 1.17/1.30 ~'$ki_exists_in_world('$ki_local_world',sK1)),
% 1.17/1.30 inference(resolution,[status(thm)],[c_52,c_57])).
% 1.17/1.30
% 1.17/1.30 tcf(c_110,plain,
% 1.17/1.30 ($false),
% 1.17/1.30 inference(prop_impl_just,[status(thm)],[c_109,c_61,c_58,c_53,c_54,c_55])).
% 1.17/1.30
% 1.17/1.30
% 1.17/1.30 % SZS output end CNFRefutation for theBenchmark.p
% 1.17/1.30
% 1.17/1.30
%------------------------------------------------------------------------------