%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : LCL950_17 : 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 : n008.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 02:08:43 PM UTC 2026
% Result : Theorem 1.63s 1.17s
% Output : CNFRefutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL950_17 : 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 : n008.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 : Thu Sep 24 00:43:24 UTC 2026
% 0.14/0.37 % CPUTime :
% 0.14/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 0.14/0.42
% 0.14/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.14/0.42
% 0.14/0.42 % Detected problem language: tptp
% 0.14/0.43 % Proving...
% 1.63/1.17 % SZS status Started for theBenchmark.p
% 1.63/1.17 % SZS status Theorem for theBenchmark.p
% 1.63/1.17
% 1.63/1.17 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.63/1.17
% 1.63/1.17 % ------ iProver source info
% 1.63/1.17
% 1.63/1.17 % git: date: 2026-07-19 20:42:38 +0200
% 1.63/1.17 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.63/1.17 % git: non_committed_changes: false
% 1.63/1.17
% 1.63/1.17 % ------ Parsing...
% 1.63/1.17 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.63/1.17 %
% 1.63/1.17
% 1.63/1.17 % ------ Preprocessing... pe_s pe:1:0s pe:2:0s pe_e pe_s pe_e %
% 1.63/1.17
% 1.63/1.17 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.63/1.17 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.63/1.17 % ------ Proving...
% 1.63/1.17 % ------ Problem Properties
% 1.63/1.17
% 1.63/1.17 %
% 1.63/1.17 % clauses 7
% 1.63/1.17 % conjectures 1
% 1.63/1.17 % EPR 3
% 1.63/1.17 % Horn 7
% 1.63/1.17 % unary 3
% 1.63/1.17 % binary 3
% 1.63/1.17 % lits 12
% 1.63/1.17 % lits eq 0
% 1.63/1.17 % fd_pure 0
% 1.63/1.17 % fd_pseudo 0
% 1.63/1.17 % fd_cond 0
% 1.63/1.17 % fd_pseudo_cond 0
% 1.63/1.17 % AC symbols 0
% 1.63/1.17
% 1.63/1.17 % ------ Schedule dynamic 5 is on
% 1.63/1.17
% 1.63/1.17 % ------ no equalities: superposition off
% 1.63/1.17
% 1.63/1.17 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.63/1.17
% 1.63/1.17
% 1.63/1.17 % ------
% 1.63/1.17 % Current options:
% 1.63/1.17 % ------
% 1.63/1.17
% 1.63/1.17
% 1.63/1.17 %
% 1.63/1.17
% 1.63/1.17 % ------ Proving...
% 1.63/1.17 %
% 1.63/1.17
% 1.63/1.17 % SZS status Theorem for theBenchmark.p
% 1.63/1.17
% 1.63/1.17 % SZS output start CNFRefutation for theBenchmark.p
% 1.63/1.17
% 1.63/1.17 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.63/1.17 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.63/1.17 tff(pred_def_2, type, intersect: ('$ki_world' * $i * $i) > $o).
% 1.63/1.17 tff(pred_def_3, type, member: ('$ki_world' * $i * $i) > $o).
% 1.63/1.17 tff(pred_def_4, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.63/1.17 tff(pred_def_5, type, sP0: ($i * $i * '$ki_world') > $o).
% 1.63/1.17 tff(func_def_6, type, sK6: ($i * $i * '$ki_world') > '$ki_world').
% 1.63/1.17 tff(func_def_7, type, sK7: '$ki_world').
% 1.63/1.17 tff(func_def_9, type, sK9: '$ki_world').
% 1.63/1.17 tff(func_def_11, type, sK11: '$ki_world').
% 1.63/1.17 tff(func_def_13, type, sK13: '$ki_world').
% 1.63/1.17 tff(func_def_14, type, sK14: '$ki_world').
% 1.63/1.17 tff(f1,axiom,(
% 1.63/1.17 ! [X0 : '$ki_world',X1 : '$ki_world'] : '$ki_accessible'(X0,X1)),
% 1.63/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal)).
% 1.63/1.17
% 1.63/1.17 tff(f2,axiom,(
% 1.63/1.17 ! [X0 : '$ki_world',X1 : $i] : '$ki_exists_in_world_$i'(X0,X1)),
% 1.63/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const')).
% 1.63/1.17
% 1.63/1.17 tff(f6,conjecture,(
% 1.63/1.17 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ! [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) => ! [X2 : '$ki_world'] : ('$ki_accessible'(X0,X2) => ! [X3 : $i] : ('$ki_exists_in_world_$i'(X2,X3) => ! [X4 : '$ki_world'] : ('$ki_accessible'(X2,X4) => ! [X5 : $i] : ('$ki_exists_in_world_$i'(X4,X5) => ! [X6 : '$ki_world'] : ('$ki_accessible'(X4,X6) => ((! [X7 : '$ki_world'] : ('$ki_accessible'(X6,X7) => member(X7,X1,X3)) & ! [X7 : '$ki_world'] : ('$ki_accessible'(X6,X7) => member(X7,X1,X5))) => ! [X7 : '$ki_world'] : ('$ki_accessible'(X6,X7) => intersect(X7,X3,X5))))))))))),
% 1.63/1.17 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify)).
% 1.63/1.17
% 1.63/1.17 tff(f7,negated_conjecture,(
% 1.63/1.17 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ! [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) => ! [X2 : '$ki_world'] : ('$ki_accessible'(X0,X2) => ! [X3 : $i] : ('$ki_exists_in_world_$i'(X2,X3) => ! [X4 : '$ki_world'] : ('$ki_accessible'(X2,X4) => ! [X5 : $i] : ('$ki_exists_in_world_$i'(X4,X5) => ! [X6 : '$ki_world'] : ('$ki_accessible'(X4,X6) => ((! [X7 : '$ki_world'] : ('$ki_accessible'(X6,X7) => member(X7,X1,X3)) & ! [X7 : '$ki_world'] : ('$ki_accessible'(X6,X7) => member(X7,X1,X5))) => ! [X7 : '$ki_world'] : ('$ki_accessible'(X6,X7) => intersect(X7,X3,X5))))))))))),
% 1.63/1.17 inference(negated_conjecture,[status(cth)],[f6])).
% 1.63/1.17
% 1.63/1.17 tff(f10,plain,(
% 1.63/1.17 ~ ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ! [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) => ! [X2 : '$ki_world'] : ('$ki_accessible'(X0,X2) => ! [X3 : $i] : ('$ki_exists_in_world_$i'(X2,X3) => ! [X4 : '$ki_world'] : ('$ki_accessible'(X2,X4) => ! [X5 : $i] : ('$ki_exists_in_world_$i'(X4,X5) => ! [X6 : '$ki_world'] : ('$ki_accessible'(X4,X6) => ((! [X7 : '$ki_world'] : ('$ki_accessible'(X6,X7) => member(X7,X1,X3)) & ! [X8 : '$ki_world'] : ('$ki_accessible'(X6,X8) => member(X8,X1,X5))) => ! [X9 : '$ki_world'] : ('$ki_accessible'(X6,X9) => intersect(X9,X3,X5))))))))))),
% 1.63/1.17 inference(rectify,[],[f7])).
% 1.63/1.17
% 1.63/1.17 tff(f15,plain,(
% 1.63/1.17 ? [X0 : '$ki_world'] : (? [X1 : $i] : (? [X2 : '$ki_world'] : (? [X3 : $i] : (? [X4 : '$ki_world'] : (? [X5 : $i] : (? [X6 : '$ki_world'] : ((? [X9 : '$ki_world'] : (~intersect(X9,X3,X5) & '$ki_accessible'(X6,X9)) & (! [X7 : '$ki_world'] : (member(X7,X1,X3) | ~'$ki_accessible'(X6,X7)) & ! [X8 : '$ki_world'] : (member(X8,X1,X5) | ~'$ki_accessible'(X6,X8)))) & '$ki_accessible'(X4,X6)) & '$ki_exists_in_world_$i'(X4,X5)) & '$ki_accessible'(X2,X4)) & '$ki_exists_in_world_$i'(X2,X3)) & '$ki_accessible'(X0,X2)) & '$ki_exists_in_world_$i'(X0,X1)) & '$ki_accessible'('$ki_local_world',X0))),
% 1.63/1.17 inference(ennf_transformation,[],[f10])).
% 1.63/1.17
% 1.63/1.17 tff(f16,plain,(
% 1.63/1.17 ? [X0 : '$ki_world'] : (? [X1 : $i] : (? [X2 : '$ki_world'] : (? [X3 : $i] : (? [X4 : '$ki_world'] : (? [X5 : $i] : (? [X6 : '$ki_world'] : (? [X9 : '$ki_world'] : (~intersect(X9,X3,X5) & '$ki_accessible'(X6,X9)) & ! [X7 : '$ki_world'] : (member(X7,X1,X3) | ~'$ki_accessible'(X6,X7)) & ! [X8 : '$ki_world'] : (member(X8,X1,X5) | ~'$ki_accessible'(X6,X8)) & '$ki_accessible'(X4,X6)) & '$ki_exists_in_world_$i'(X4,X5)) & '$ki_accessible'(X2,X4)) & '$ki_exists_in_world_$i'(X2,X3)) & '$ki_accessible'(X0,X2)) & '$ki_exists_in_world_$i'(X0,X1)) & '$ki_accessible'('$ki_local_world',X0))),
% 1.63/1.17 inference(flattening,[],[f15])).
% 1.63/1.17
% 1.63/1.17 tff(f23,plain,(
% 1.63/1.17 ! [X0 : '$ki_world'] : (! [X1 : $i] : (! [X2 : '$ki_world'] : (! [X3 : $i] : ((sP0(X1,X3,X2) & ! [X4 : '$ki_world'] : (! [X5 : '$ki_world'] : (intersect(X5,X1,X3) | ~'$ki_accessible'(X4,X5)) | ! [X6 : $i] : (~'$ki_exists_in_world_$i'(X4,X6) | ? [X7 : '$ki_world'] : (~member(X7,X6,X1) & '$ki_accessible'(X4,X7)) | ? [X8 : '$ki_world'] : (~member(X8,X6,X3) & '$ki_accessible'(X4,X8))) | ~'$ki_accessible'(X2,X4))) | ~'$ki_exists_in_world_$i'(X2,X3)) | ~'$ki_accessible'(X0,X2)) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.63/1.17 inference(rectify,[],[f18])).
% 1.63/1.17
% 1.63/1.17 tff(f24,plain,(
% 1.63/1.17 ! [X0 : '$ki_world'] : (! [X1 : $i] : (! [X2 : '$ki_world'] : (! [X3 : $i] : ((sP0(X1,X3,X2) & ! [X4 : '$ki_world'] : (! [X5 : '$ki_world'] : (intersect(X5,X1,X3) | ~'$ki_accessible'(X4,X5)) | ! [X6 : $i] : (~'$ki_exists_in_world_$i'(X4,X6) | (~member(sK4(X1,X4,X6),X6,X1) & '$ki_accessible'(X4,sK4(X1,X4,X6))) | (~member(sK5(X3,X4,X6),X6,X3) & '$ki_accessible'(X4,sK5(X3,X4,X6)))) | ~'$ki_accessible'(X2,X4))) | ~'$ki_exists_in_world_$i'(X2,X3)) | ~'$ki_accessible'(X0,X2)) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.63/1.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X7,sK4(X1,X4,X6)),skolemize(X8,sK5(X3,X4,X6))],[f23])).
% 1.63/1.17
% 1.63/1.17 tff(f27,plain,(
% 1.63/1.17 ? [X0 : '$ki_world'] : (? [X1 : $i] : (? [X2 : '$ki_world'] : (? [X3 : $i] : (? [X4 : '$ki_world'] : (? [X5 : $i] : (? [X6 : '$ki_world'] : (? [X7 : '$ki_world'] : (~intersect(X7,X3,X5) & '$ki_accessible'(X6,X7)) & ! [X8 : '$ki_world'] : (member(X8,X1,X3) | ~'$ki_accessible'(X6,X8)) & ! [X9 : '$ki_world'] : (member(X9,X1,X5) | ~'$ki_accessible'(X6,X9)) & '$ki_accessible'(X4,X6)) & '$ki_exists_in_world_$i'(X4,X5)) & '$ki_accessible'(X2,X4)) & '$ki_exists_in_world_$i'(X2,X3)) & '$ki_accessible'(X0,X2)) & '$ki_exists_in_world_$i'(X0,X1)) & '$ki_accessible'('$ki_local_world',X0))),
% 1.63/1.17 inference(rectify,[],[f16])).
% 1.63/1.17
% 1.63/1.17 tff(f28,plain,(
% 1.63/1.17 (((((((~intersect(sK14,sK10,sK12) & '$ki_accessible'(sK13,sK14)) & ! [X8 : '$ki_world'] : (member(X8,sK8,sK10) | ~'$ki_accessible'(sK13,X8)) & ! [X9 : '$ki_world'] : (member(X9,sK8,sK12) | ~'$ki_accessible'(sK13,X9)) & '$ki_accessible'(sK11,sK13)) & '$ki_exists_in_world_$i'(sK11,sK12)) & '$ki_accessible'(sK9,sK11)) & '$ki_exists_in_world_$i'(sK9,sK10)) & '$ki_accessible'(sK7,sK9)) & '$ki_exists_in_world_$i'(sK7,sK8)) & '$ki_accessible'('$ki_local_world',sK7)),
% 1.63/1.17 inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9),skolemize(X3,sK10),skolemize(X4,sK11),skolemize(X5,sK12),skolemize(X6,sK13),skolemize(X7,sK14)],[f27])).
% 1.63/1.17
% 1.63/1.17 tff(f29,plain,(
% 1.63/1.17 ( ! [X0 : '$ki_world',X1 : '$ki_world'] : ('$ki_accessible'(X0,X1)) )),
% 1.63/1.17 inference(cnf_transformation,[],[f1])).
% 1.63/1.17
% 1.63/1.17 tff(f30,plain,(
% 1.63/1.17 ( ! [X0 : '$ki_world',X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1)) )),
% 1.63/1.17 inference(cnf_transformation,[],[f2])).
% 1.63/1.17
% 1.63/1.17 tff(f41,plain,(
% 1.63/1.17 ( ! [X2 : '$ki_world',X3 : $i,X0 : '$ki_world',X1 : $i,X6 : $i,X4 : '$ki_world',X5 : '$ki_world'] : (intersect(X5,X1,X3) | ~'$ki_accessible'(X4,X5) | ~'$ki_exists_in_world_$i'(X4,X6) | ~member(sK4(X1,X4,X6),X6,X1) | ~member(sK5(X3,X4,X6),X6,X3) | ~'$ki_accessible'(X2,X4) | ~'$ki_exists_in_world_$i'(X2,X3) | ~'$ki_accessible'(X0,X2) | ~'$ki_exists_in_world_$i'(X0,X1) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.63/1.17 inference(cnf_transformation,[],[f24])).
% 1.63/1.17
% 1.63/1.17 tff(f52,plain,(
% 1.63/1.17 ( ! [X9 : '$ki_world'] : (member(X9,sK8,sK12) | ~'$ki_accessible'(sK13,X9)) )),
% 1.63/1.17 inference(cnf_transformation,[],[f28])).
% 1.63/1.17
% 1.63/1.17 tff(f53,plain,(
% 1.63/1.17 ( ! [X8 : '$ki_world'] : (member(X8,sK8,sK10) | ~'$ki_accessible'(sK13,X8)) )),
% 1.63/1.17 inference(cnf_transformation,[],[f28])).
% 1.63/1.17
% 1.63/1.17 tff(f55,plain,(
% 1.63/1.17 ~intersect(sK14,sK10,sK12)),
% 1.63/1.17 inference(cnf_transformation,[],[f28])).
% 1.63/1.17
% 1.63/1.17 tcf(c_49,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.63/1.17 ('$ki_accessible'(X0_'ki_world',X1_'ki_world')),
% 1.63/1.17 inference(cnf_transformation,[],[f29])).
% 1.63/1.17
% 1.63/1.17 tcf(c_50,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.63/1.17 ('$ki_exists_in_world(X0_'ki_world',X0)),
% 1.63/1.17 inference(cnf_transformation,[],[f30])).
% 1.63/1.17
% 1.63/1.17 tcf(c_59,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X2_'ki_world':'$ki_world',X3_'ki_world':'$ki_world']:
% 1.63/1.17 (~member(sK4(X0,X0_'ki_world',X1),X1,X0)|~member(sK5(X2,X0_'ki_world',X1),X1,X2)|
% 1.63/1.17 ~'$ki_accessible'(X0_'ki_world',X2_'ki_world')|~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|
% 1.63/1.17 ~'$ki_accessible'(X3_'ki_world',X1_'ki_world')|~'$ki_exists_in_world(X0_'ki_world',X1)|
% 1.63/1.17 ~'$ki_exists_in_world(X1_'ki_world',X2)|~'$ki_exists_in_world(X3_'ki_world',X0)|
% 1.63/1.17 ~'$ki_accessible'('$ki_local_world',X3_'ki_world')|intersect(X2_'ki_world',X0,X2)),
% 1.63/1.17 inference(cnf_transformation,[],[f41])).
% 1.63/1.17
% 1.63/1.17 tcf(c_65,negated_conjecture,
% 1.63/1.17 (~intersect(sK14,sK10,sK12)),
% 1.63/1.17 inference(cnf_transformation,[],[f55])).
% 1.63/1.17
% 1.63/1.17 tcf(c_67,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.63/1.17 (~'$ki_accessible'(sK13,X0_'ki_world')|member(X0_'ki_world',sK8,sK10)),
% 1.63/1.17 inference(cnf_transformation,[],[f53])).
% 1.63/1.17
% 1.63/1.17 tcf(c_68,negated_conjecture,![X0_'ki_world':'$ki_world']:
% 1.63/1.17 (~'$ki_accessible'(sK13,X0_'ki_world')|member(X0_'ki_world',sK8,sK12)),
% 1.63/1.17 inference(cnf_transformation,[],[f52])).
% 1.63/1.17
% 1.63/1.17 tcf(c_121,plain,![X0_'ki_world':'$ki_world']:
% 1.63/1.17 (member(X0_'ki_world',sK8,sK12)),
% 1.63/1.17 inference(backward_subsumption_resolution,[status(thm)],[c_68,c_49])).
% 1.63/1.17
% 1.63/1.17 tcf(c_122,plain,![X0_'ki_world':'$ki_world']:
% 1.63/1.17 (member(X0_'ki_world',sK8,sK10)),
% 1.63/1.17 inference(backward_subsumption_resolution,[status(thm)],[c_67,c_49])).
% 1.63/1.17
% 1.63/1.17 tcf(c_127,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X2_'ki_world':'$ki_world',X3_'ki_world':'$ki_world']:
% 1.63/1.17 (~member(sK4(X0,X0_'ki_world',X1),X1,X0)|~member(sK5(X2,X0_'ki_world',X1),X1,X2)|
% 1.63/1.17 ~'$ki_accessible'(X0_'ki_world',X1_'ki_world')|~'$ki_accessible'(X2_'ki_world',X0_'ki_world')|
% 1.63/1.17 ~'$ki_accessible'(X3_'ki_world',X2_'ki_world')|~'$ki_exists_in_world(X0_'ki_world',X1)|
% 1.63/1.17 ~'$ki_exists_in_world(X2_'ki_world',X2)|~'$ki_exists_in_world(X3_'ki_world',X0)|
% 1.63/1.17 intersect(X1_'ki_world',X0,X2)),
% 1.63/1.17 inference(backward_subsumption_resolution,[status(thm)],[c_59,c_49])).
% 1.63/1.17
% 1.63/1.17 tcf(c_128,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X2_'ki_world':'$ki_world',X3_'ki_world':'$ki_world']:
% 1.63/1.17 (~member(sK5(X2,X0_'ki_world',X1),X1,X2)|~member(sK4(X0,X0_'ki_world',X1),X1,X0)|
% 1.63/1.17 ~'$ki_accessible'(X2_'ki_world',X0_'ki_world')|~'$ki_accessible'(X3_'ki_world',X2_'ki_world')|
% 1.63/1.17 ~'$ki_exists_in_world(X0_'ki_world',X1)|~'$ki_exists_in_world(X2_'ki_world',X2)|
% 1.63/1.17 ~'$ki_exists_in_world(X3_'ki_world',X0)|intersect(X1_'ki_world',X0,X2)),
% 1.63/1.17 inference(global_subsumption_just,[status(thm)],[c_127,c_49,c_127])).
% 1.63/1.17
% 1.63/1.17 tcf(c_129,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X2_'ki_world':'$ki_world',X3_'ki_world':'$ki_world']:
% 1.63/1.17 (~member(sK4(X0,X0_'ki_world',X1),X1,X0)|~member(sK5(X2,X0_'ki_world',X1),X1,X2)|
% 1.63/1.17 ~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|~'$ki_accessible'(X2_'ki_world',X1_'ki_world')|
% 1.63/1.17 ~'$ki_exists_in_world(X0_'ki_world',X1)|~'$ki_exists_in_world(X1_'ki_world',X2)|
% 1.63/1.17 ~'$ki_exists_in_world(X2_'ki_world',X0)|intersect(X3_'ki_world',X0,X2)),
% 1.63/1.17 inference(renaming,[status(thm)],[c_128])).
% 1.63/1.17
% 1.63/1.17 tcf(c_138,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X2_'ki_world':'$ki_world',X3_'ki_world':'$ki_world']:
% 1.63/1.17 (~member(sK4(X0,X0_'ki_world',X1),X1,X0)|~member(sK5(X2,X0_'ki_world',X1),X1,X2)|
% 1.63/1.17 ~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|~'$ki_accessible'(X2_'ki_world',X1_'ki_world')|
% 1.63/1.17 ~'$ki_exists_in_world(X1_'ki_world',X2)|~'$ki_exists_in_world(X2_'ki_world',X0)|
% 1.63/1.17 intersect(X3_'ki_world',X0,X2)),
% 1.63/1.17 inference(backward_subsumption_resolution,[status(thm)],[c_129,c_50])).
% 1.63/1.17
% 1.63/1.17 tcf(c_192,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i]:
% 1.63/1.17 (~member(sK4(X0,X0_'ki_world',X1),X1,X0)|~member(sK5(X2,X0_'ki_world',X1),X1,X2)|
% 1.63/1.17 intersect(X1_'ki_world',X0,X2)),
% 1.63/1.17 inference(forward_subsumption_resolution,
% 1.63/1.17 [status(thm)],
% 1.63/1.17 [c_138,c_50,c_50,c_49,c_49])).
% 1.63/1.17
% 1.63/1.17 tcf(c_227,plain,![X0_'ki_world':'$ki_world']:
% 1.63/1.17 (member(X0_'ki_world',sK8,sK10)),
% 1.63/1.17 inference(demodulation,[status(thm)],[c_122])).
% 1.63/1.17
% 1.63/1.17 tcf(c_228,plain,![X0_'ki_world':'$ki_world']:
% 1.63/1.17 (member(X0_'ki_world',sK8,sK12)),
% 1.63/1.17 inference(demodulation,[status(thm)],[c_121])).
% 1.63/1.17
% 1.63/1.17 tcf(c_237,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.63/1.17 (~member(sK4(sK10,X0_'ki_world',X0),X0,sK10)|~member(sK5(sK12,X0_'ki_world',X0),X0,sK12)|
% 1.63/1.17 intersect(sK14,sK10,sK12)),
% 1.63/1.17 inference(instantiation,[status(thm)],[c_192])).
% 1.63/1.17
% 1.63/1.17 tcf(c_243,plain,![X0_'ki_world':'$ki_world']:
% 1.63/1.17 (~member(sK4(sK10,X0_'ki_world',sK8),sK8,sK10)|~member(sK5(sK12,X0_'ki_world',sK8),sK8,sK12)|
% 1.63/1.17 intersect(sK14,sK10,sK12)),
% 1.63/1.17 inference(instantiation,[status(thm)],[c_237])).
% 1.63/1.17
% 1.63/1.17 tcf(c_244,plain,![X0_'ki_world':'$ki_world']:
% 1.63/1.17 (member(sK4(sK10,X0_'ki_world',sK8),sK8,sK10)),
% 1.63/1.17 inference(instantiation,[status(thm)],[c_227])).
% 1.63/1.17
% 1.63/1.17 tcf(c_261,plain,![X0_'ki_world':'$ki_world']:
% 1.63/1.17 (member(sK5(sK12,X0_'ki_world',sK8),sK8,sK12)),
% 1.63/1.17 inference(instantiation,[status(thm)],[c_228])).
% 1.63/1.17
% 1.63/1.17 tcf(c_262,plain,
% 1.63/1.17 ($false),
% 1.63/1.17 inference(prop_impl_just,[status(thm)],[c_261,c_244,c_243,c_65])).
% 1.63/1.17
% 1.63/1.17
% 1.63/1.17 % SZS output end CNFRefutation for theBenchmark.p
% 1.63/1.17
% 1.63/1.17
%------------------------------------------------------------------------------