%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : PLA054_4 : 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 1.26s 1.26s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA054_4 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.35 % Computer : n009.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Thu Sep 24 06:22:13 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 0.14/0.40
% 0.14/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.40
% 0.14/0.40 % Detected problem language: tptp
% 0.14/0.41 % Proving...
% 1.26/1.26 % SZS status Started for theBenchmark.p
% 1.26/1.26 % SZS status Theorem for theBenchmark.p
% 1.26/1.26
% 1.26/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.26/1.26
% 1.26/1.26 % ------ iProver source info
% 1.26/1.26
% 1.26/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.26/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.26/1.26 % git: non_committed_changes: false
% 1.26/1.26
% 1.26/1.26 % ------ Parsing...
% 1.26/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.26/1.26 %
% 1.26/1.26
% 1.26/1.26 % ------ Preprocessing... pe_s pe:1:0s%
% 1.26/1.26
% 1.26/1.26 % SZS status Theorem for theBenchmark.p
% 1.26/1.26
% 1.26/1.26 % SZS output start CNFRefutation for theBenchmark.p
% 1.26/1.26
% 1.26/1.26 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.26/1.26 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.26/1.26 tff(pred_def_2, type, h: ('$ki_world' * $i) > $o).
% 1.26/1.26 tff(pred_def_3, type, closed: ('$ki_world' * $i) > $o).
% 1.26/1.26 tff(pred_def_4, type, combo: ('$ki_world' * $i * $i) > $o).
% 1.26/1.26 tff(pred_def_5, type, open: ('$ki_world' * $i) > $o).
% 1.26/1.26 tff(pred_def_6, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.26/1.26 tff(func_def_7, type, sK3: '$ki_world').
% 1.26/1.26 tff(func_def_8, type, sK4: '$ki_world').
% 1.26/1.26 tff(f1,axiom,(
% 1.26/1.26 ! [X0 : '$ki_world'] : '$ki_accessible'(X0,X0)),
% 1.26/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)).
% 1.26/1.26
% 1.26/1.26 tff(f3,axiom,(
% 1.26/1.26 ! [X0 : '$ki_world',X1 : $i] : '$ki_exists_in_world_$i'(X0,X1)),
% 1.26/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const')).
% 1.26/1.26
% 1.26/1.26 tff(f5,axiom,(
% 1.26/1.26 ! [X0 : '$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 : $i] : ('$ki_exists_in_world_$i'(X0,X3) & ! [X4 : '$ki_world'] : ('$ki_accessible'(X0,X4) => ((closed(X4,X1) & combo(X4,X1,X2) & h(X4,X3)) => ! [X5 : '$ki_world'] : ('$ki_accessible'(X4,X5) => open(X5,X1)))) & ! [X4 : '$ki_world'] : ('$ki_accessible'(X0,X4) => ((closed(X4,X1) & ~combo(X4,X1,X2) & h(X4,o)) => ! [X5 : '$ki_world'] : ('$ki_accessible'(X4,X5) => closed(X5,X1))))))))),
% 1.26/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 1.26/1.26
% 1.26/1.26 tff(f6,axiom,(
% 1.26/1.26 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => closed(X0,d))),
% 1.26/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
% 1.26/1.26
% 1.26/1.26 tff(f8,axiom,(
% 1.26/1.26 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ! [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) => ~(open(X0,X1) & closed(X0,X1))))),
% 1.26/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)).
% 1.26/1.26
% 1.26/1.26 tff(f10,conjecture,(
% 1.26/1.26 ! [X0 : '$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'] : ('$ki_accessible'(X0,X3) => (combo(X3,d,X1) & h(X3,X2))) => ! [X3 : '$ki_world'] : ('$ki_accessible'(X0,X3) => open(X3,d))))))),
% 1.26/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify)).
% 1.26/1.26
% 1.26/1.26 tff(f11,negated_conjecture,(
% 1.26/1.26 ~ ! [X0 : '$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'] : ('$ki_accessible'(X0,X3) => (combo(X3,d,X1) & h(X3,X2))) => ! [X3 : '$ki_world'] : ('$ki_accessible'(X0,X3) => open(X3,d))))))),
% 1.26/1.26 inference(negated_conjecture,[status(cth)],[f10])).
% 1.26/1.26
% 1.26/1.26 tff(f12,plain,(
% 1.26/1.26 ! [X0 : '$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 : $i] : ('$ki_exists_in_world_$i'(X0,X3) & ! [X4 : '$ki_world'] : ('$ki_accessible'(X0,X4) => ((closed(X4,X1) & combo(X4,X1,X2) & h(X4,X3)) => ! [X5 : '$ki_world'] : ('$ki_accessible'(X4,X5) => open(X5,X1)))) & ! [X6 : '$ki_world'] : ('$ki_accessible'(X0,X6) => ((closed(X6,X1) & ~combo(X6,X1,X2) & h(X6,o)) => ! [X7 : '$ki_world'] : ('$ki_accessible'(X6,X7) => closed(X7,X1))))))))),
% 1.26/1.26 inference(rectify,[],[f5])).
% 1.26/1.26
% 1.26/1.26 tff(f13,plain,(
% 1.26/1.26 ~ ! [X0 : '$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'] : ('$ki_accessible'(X0,X3) => (combo(X3,d,X1) & h(X3,X2))) => ! [X4 : '$ki_world'] : ('$ki_accessible'(X0,X4) => open(X4,d))))))),
% 1.26/1.26 inference(rectify,[],[f11])).
% 1.26/1.26
% 1.26/1.26 tff(f16,plain,(
% 1.26/1.26 ! [X0 : '$ki_world'] : (! [X1 : $i] : (! [X2 : $i] : (? [X3 : $i] : ('$ki_exists_in_world_$i'(X0,X3) & ! [X4 : '$ki_world'] : ((! [X5 : '$ki_world'] : (open(X5,X1) | ~'$ki_accessible'(X4,X5)) | (~closed(X4,X1) | ~combo(X4,X1,X2) | ~h(X4,X3))) | ~'$ki_accessible'(X0,X4)) & ! [X6 : '$ki_world'] : ((! [X7 : '$ki_world'] : (closed(X7,X1) | ~'$ki_accessible'(X6,X7)) | (~closed(X6,X1) | combo(X6,X1,X2) | ~h(X6,o))) | ~'$ki_accessible'(X0,X6))) | ~'$ki_exists_in_world_$i'(X0,X2)) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.26/1.26 inference(ennf_transformation,[],[f12])).
% 1.26/1.26
% 1.26/1.26 tff(f17,plain,(
% 1.26/1.26 ! [X0 : '$ki_world'] : (! [X1 : $i] : (! [X2 : $i] : (? [X3 : $i] : ('$ki_exists_in_world_$i'(X0,X3) & ! [X4 : '$ki_world'] : (! [X5 : '$ki_world'] : (open(X5,X1) | ~'$ki_accessible'(X4,X5)) | ~closed(X4,X1) | ~combo(X4,X1,X2) | ~h(X4,X3) | ~'$ki_accessible'(X0,X4)) & ! [X6 : '$ki_world'] : (! [X7 : '$ki_world'] : (closed(X7,X1) | ~'$ki_accessible'(X6,X7)) | ~closed(X6,X1) | combo(X6,X1,X2) | ~h(X6,o) | ~'$ki_accessible'(X0,X6))) | ~'$ki_exists_in_world_$i'(X0,X2)) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.26/1.26 inference(flattening,[],[f16])).
% 1.26/1.26
% 1.26/1.26 tff(f18,plain,(
% 1.26/1.26 ! [X0 : '$ki_world'] : (closed(X0,d) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.26/1.26 inference(ennf_transformation,[],[f6])).
% 1.26/1.26
% 1.26/1.26 tff(f21,plain,(
% 1.26/1.26 ! [X0 : '$ki_world'] : (! [X1 : $i] : ((~open(X0,X1) | ~closed(X0,X1)) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.26/1.26 inference(ennf_transformation,[],[f8])).
% 1.26/1.26
% 1.26/1.26 tff(f22,plain,(
% 1.26/1.26 ! [X0 : '$ki_world'] : (! [X1 : $i] : (~open(X0,X1) | ~closed(X0,X1) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.26/1.26 inference(flattening,[],[f21])).
% 1.26/1.26
% 1.26/1.26 tff(f24,plain,(
% 1.26/1.26 ? [X0 : '$ki_world'] : (! [X1 : $i] : (~'$ki_exists_in_world_$i'(X0,X1) | ! [X2 : $i] : (~'$ki_exists_in_world_$i'(X0,X2) | (? [X4 : '$ki_world'] : (~open(X4,d) & '$ki_accessible'(X0,X4)) & ! [X3 : '$ki_world'] : ((combo(X3,d,X1) & h(X3,X2)) | ~'$ki_accessible'(X0,X3))))) & '$ki_accessible'('$ki_local_world',X0))),
% 1.26/1.26 inference(ennf_transformation,[],[f13])).
% 1.26/1.26
% 1.26/1.26 tff(f26,plain,(
% 1.26/1.26 ! [X0 : '$ki_world'] : (! [X1 : $i] : (! [X2 : $i] : (('$ki_exists_in_world_$i'(X0,sK1(X0,X1,X2)) & ! [X4 : '$ki_world'] : (! [X5 : '$ki_world'] : (open(X5,X1) | ~'$ki_accessible'(X4,X5)) | ~closed(X4,X1) | ~combo(X4,X1,X2) | ~h(X4,sK1(X0,X1,X2)) | ~'$ki_accessible'(X0,X4)) & ! [X6 : '$ki_world'] : (! [X7 : '$ki_world'] : (closed(X7,X1) | ~'$ki_accessible'(X6,X7)) | ~closed(X6,X1) | combo(X6,X1,X2) | ~h(X6,o) | ~'$ki_accessible'(X0,X6))) | ~'$ki_exists_in_world_$i'(X0,X2)) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.26/1.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1,X2))],[f17])).
% 1.26/1.26
% 1.26/1.26 tff(f28,plain,(
% 1.26/1.26 ? [X0 : '$ki_world'] : (! [X1 : $i] : (~'$ki_exists_in_world_$i'(X0,X1) | ! [X2 : $i] : (~'$ki_exists_in_world_$i'(X0,X2) | (? [X3 : '$ki_world'] : (~open(X3,d) & '$ki_accessible'(X0,X3)) & ! [X4 : '$ki_world'] : ((combo(X4,d,X1) & h(X4,X2)) | ~'$ki_accessible'(X0,X4))))) & '$ki_accessible'('$ki_local_world',X0))),
% 1.26/1.26 inference(rectify,[],[f24])).
% 1.26/1.26
% 1.26/1.26 tff(f29,plain,(
% 1.26/1.26 ! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK3,X1) | ! [X2 : $i] : (~'$ki_exists_in_world_$i'(sK3,X2) | ((~open(sK4,d) & '$ki_accessible'(sK3,sK4)) & ! [X4 : '$ki_world'] : ((combo(X4,d,X1) & h(X4,X2)) | ~'$ki_accessible'(sK3,X4))))) & '$ki_accessible'('$ki_local_world',sK3)),
% 1.26/1.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X3,sK4)],[f28])).
% 1.26/1.26
% 1.26/1.26 tff(f30,plain,(
% 1.26/1.26 ( ! [X0 : '$ki_world'] : ('$ki_accessible'(X0,X0)) )),
% 1.26/1.26 inference(cnf_transformation,[],[f1])).
% 1.26/1.26
% 1.26/1.26 tff(f32,plain,(
% 1.26/1.26 ( ! [X0 : '$ki_world',X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1)) )),
% 1.26/1.26 inference(cnf_transformation,[],[f3])).
% 1.26/1.26
% 1.26/1.26 tff(f35,plain,(
% 1.26/1.26 ( ! [X2 : $i,X0 : '$ki_world',X1 : $i,X4 : '$ki_world',X5 : '$ki_world'] : (open(X5,X1) | ~'$ki_accessible'(X4,X5) | ~closed(X4,X1) | ~combo(X4,X1,X2) | ~h(X4,sK1(X0,X1,X2)) | ~'$ki_accessible'(X0,X4) | ~'$ki_exists_in_world_$i'(X0,X2) | ~'$ki_exists_in_world_$i'(X0,X1) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.26/1.26 inference(cnf_transformation,[],[f26])).
% 1.26/1.26
% 1.26/1.26 tff(f37,plain,(
% 1.26/1.26 ( ! [X0 : '$ki_world'] : (closed(X0,d) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.26/1.26 inference(cnf_transformation,[],[f18])).
% 1.26/1.26
% 1.26/1.26 tff(f39,plain,(
% 1.26/1.26 ( ! [X0 : '$ki_world',X1 : $i] : (~open(X0,X1) | ~closed(X0,X1) | ~'$ki_exists_in_world_$i'(X0,X1) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.26/1.26 inference(cnf_transformation,[],[f22])).
% 1.26/1.26
% 1.26/1.26 tff(f42,plain,(
% 1.26/1.26 '$ki_accessible'('$ki_local_world',sK3)),
% 1.26/1.26 inference(cnf_transformation,[],[f29])).
% 1.26/1.26
% 1.26/1.26 tff(f43,plain,(
% 1.26/1.26 ( ! [X2 : $i,X1 : $i,X4 : '$ki_world'] : (~'$ki_exists_in_world_$i'(sK3,X1) | ~'$ki_exists_in_world_$i'(sK3,X2) | h(X4,X2) | ~'$ki_accessible'(sK3,X4)) )),
% 1.26/1.26 inference(cnf_transformation,[],[f29])).
% 1.26/1.26
% 1.26/1.26 tff(f44,plain,(
% 1.26/1.26 ( ! [X2 : $i,X1 : $i,X4 : '$ki_world'] : (~'$ki_exists_in_world_$i'(sK3,X1) | ~'$ki_exists_in_world_$i'(sK3,X2) | combo(X4,d,X1) | ~'$ki_accessible'(sK3,X4)) )),
% 1.26/1.26 inference(cnf_transformation,[],[f29])).
% 1.26/1.26
% 1.26/1.26 tcf(c_49,plain,![X0_'ki_world':'$ki_world']:
% 1.26/1.26 ('$ki_accessible'(X0_'ki_world',X0_'ki_world')),
% 1.26/1.26 inference(cnf_transformation,[],[f30])).
% 1.26/1.26
% 1.26/1.26 tcf(c_51,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.26/1.26 ('$ki_exists_in_world(X0_'ki_world',X0)),
% 1.26/1.26 inference(cnf_transformation,[],[f32])).
% 1.26/1.26
% 1.26/1.26 tcf(c_54,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.26/1.26 (~h(X0_'ki_world',sK1(X1_'ki_world',X0,X1))|~combo(X0_'ki_world',X0,X1)|
% 1.26/1.26 ~'$ki_accessible'(X0_'ki_world',X2_'ki_world')|~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|
% 1.26/1.26 ~closed(X0_'ki_world',X0)|~'$ki_exists_in_world(X1_'ki_world',X0)|
% 1.26/1.26 ~'$ki_exists_in_world(X1_'ki_world',X1)|~'$ki_accessible'('$ki_local_world',X1_'ki_world')|
% 1.26/1.26 open(X2_'ki_world',X0)),
% 1.26/1.26 inference(cnf_transformation,[],[f35])).
% 1.26/1.26
% 1.26/1.26 tcf(c_56,plain,![X0_'ki_world':'$ki_world']:
% 1.26/1.26 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|closed(X0_'ki_world',d)),
% 1.26/1.26 inference(cnf_transformation,[],[f37])).
% 1.26/1.26
% 1.26/1.26 tcf(c_57,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.26/1.26 (~closed(X0_'ki_world',X0)|~open(X0_'ki_world',X0)|~'$ki_exists_in_world(X0_'ki_world',X0)|
% 1.26/1.26 ~'$ki_accessible'('$ki_local_world',X0_'ki_world')),
% 1.26/1.26 inference(cnf_transformation,[],[f39])).
% 1.26/1.26
% 1.26/1.26 tcf(c_62,negated_conjecture,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.26/1.26 (~'$ki_accessible'(sK3,X0_'ki_world')|~'$ki_exists_in_world(sK3,X0)|
% 1.26/1.26 ~'$ki_exists_in_world(sK3,X1)|combo(X0_'ki_world',d,X0)),
% 1.26/1.26 inference(cnf_transformation,[],[f44])).
% 1.26/1.26
% 1.26/1.26 tcf(c_63,negated_conjecture,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.26/1.26 (~'$ki_accessible'(sK3,X0_'ki_world')|~'$ki_exists_in_world(sK3,X0)|
% 1.26/1.26 ~'$ki_exists_in_world(sK3,X1)|h(X0_'ki_world',X1)),
% 1.26/1.26 inference(cnf_transformation,[],[f43])).
% 1.26/1.26
% 1.26/1.26 tcf(c_64,negated_conjecture,
% 1.26/1.26 ('$ki_accessible'('$ki_local_world',sK3)),
% 1.26/1.26 inference(cnf_transformation,[],[f42])).
% 1.26/1.26
% 1.26/1.26 tcf(c_65,plain,
% 1.26/1.26 ('$ki_exists_in_world(sK3,d)),
% 1.26/1.26 inference(instantiation,[status(thm)],[c_51])).
% 1.26/1.26
% 1.26/1.26 tcf(c_66,plain,
% 1.26/1.26 ('$ki_accessible'(sK3,sK3)),
% 1.26/1.26 inference(instantiation,[status(thm)],[c_49])).
% 1.26/1.26
% 1.26/1.26 tcf(c_68,plain,
% 1.26/1.26 (~'$ki_accessible'('$ki_local_world',sK3)|closed(sK3,d)),
% 1.26/1.26 inference(instantiation,[status(thm)],[c_56])).
% 1.26/1.26
% 1.26/1.26 tcf(c_73,plain,
% 1.26/1.26 (~'$ki_accessible'(sK3,sK3)|~'$ki_exists_in_world(sK3,d)|combo(sK3,d,d)),
% 1.26/1.26 inference(instantiation,[status(thm)],[c_62])).
% 1.26/1.26
% 1.26/1.26 tcf(c_74,plain,
% 1.26/1.26 (~'$ki_accessible'('$ki_local_world',sK3)|~closed(sK3,d)|~open(sK3,d)|
% 1.26/1.26 ~'$ki_exists_in_world(sK3,d)),
% 1.26/1.26 inference(instantiation,[status(thm)],[c_57])).
% 1.26/1.26
% 1.26/1.26 tcf(c_97,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.26/1.26 (~h(X0_'ki_world',sK1(X1_'ki_world',X0,X1))|~combo(X0_'ki_world',X0,X1)|
% 1.26/1.26 ~'$ki_accessible'(X0_'ki_world',X2_'ki_world')|~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|
% 1.26/1.26 ~closed(X0_'ki_world',X0)|~'$ki_exists_in_world(X1_'ki_world',X1)|
% 1.26/1.26 ~'$ki_accessible'('$ki_local_world',X1_'ki_world')|open(X2_'ki_world',X0)),
% 1.26/1.26 inference(backward_subsumption_resolution,[status(thm)],[c_54,c_51])).
% 1.26/1.26
% 1.26/1.26 tcf(c_98,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.26/1.26 (~'$ki_accessible'(sK3,X0_'ki_world')|~'$ki_exists_in_world(sK3,X0)|
% 1.26/1.26 h(X0_'ki_world',X0)),
% 1.26/1.26 inference(backward_subsumption_resolution,[status(thm)],[c_63,c_51])).
% 1.26/1.26
% 1.26/1.26 tcf(c_122,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.26/1.26 (~'$ki_accessible'(sK3,X0_'ki_world')|h(X0_'ki_world',X0)),
% 1.26/1.26 inference(forward_subsumption_resolution,[status(thm)],[c_98,c_51])).
% 1.26/1.26
% 1.26/1.26 tcf(c_169,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.26/1.26 (~h(X0_'ki_world',sK1(X1_'ki_world',X0,X1))|~combo(X0_'ki_world',X0,X1)|
% 1.26/1.26 ~'$ki_accessible'(X0_'ki_world',X2_'ki_world')|~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|
% 1.26/1.26 ~closed(X0_'ki_world',X0)|~'$ki_accessible'('$ki_local_world',X1_'ki_world')|
% 1.26/1.26 open(X2_'ki_world',X0)),
% 1.26/1.26 inference(forward_subsumption_resolution,[status(thm)],[c_97,c_51])).
% 1.26/1.26
% 1.26/1.26 tcf(c_192,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.26/1.26 (~combo(X0_'ki_world',X0,X1)|~'$ki_accessible'(X0_'ki_world',X1_'ki_world')|
% 1.26/1.26 ~'$ki_accessible'(X2_'ki_world',X0_'ki_world')|~closed(X0_'ki_world',X0)|
% 1.26/1.26 ~'$ki_accessible'('$ki_local_world',X2_'ki_world')|~'$ki_accessible'(sK3,X0_'ki_world')|
% 1.26/1.26 open(X1_'ki_world',X0)),
% 1.26/1.26 inference(resolution,[status(thm)],[c_169,c_122])).
% 1.26/1.26
% 1.26/1.26 tcf(c_193,plain,
% 1.26/1.26 (~combo(sK3,d,d)|~'$ki_accessible'('$ki_local_world',sK3)|~'$ki_accessible'(sK3,sK3)|
% 1.26/1.26 ~closed(sK3,d)|open(sK3,d)),
% 1.26/1.26 inference(instantiation,[status(thm)],[c_192])).
% 1.26/1.26
% 1.26/1.26 tcf(c_194,plain,
% 1.26/1.26 ($false),
% 1.26/1.26 inference(prop_impl_just,
% 1.26/1.26 [status(thm)],
% 1.26/1.26 [c_193,c_74,c_73,c_68,c_66,c_65,c_64])).
% 1.26/1.26
% 1.26/1.26
% 1.26/1.26 % SZS output end CNFRefutation for theBenchmark.p
% 1.26/1.26
% 1.26/1.26
%------------------------------------------------------------------------------