%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NLP266_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 : n014.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 02:16:53 PM UTC 2026
% Result : Theorem 1.99s 1.26s
% Output : CNFRefutation 1.99s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NLP266_4 : TPTP v9.3.1. Released v8.2.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.34 % Computer : n014.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 02:36:48 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 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
% 0.12/0.42 % Proving...
% 1.99/1.26 % SZS status Started for theBenchmark.p
% 1.99/1.26 % SZS status Theorem for theBenchmark.p
% 1.99/1.26
% 1.99/1.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.99/1.26
% 1.99/1.26 % ------ iProver source info
% 1.99/1.26
% 1.99/1.26 % git: date: 2026-07-19 20:42:38 +0200
% 1.99/1.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.99/1.26 % git: non_committed_changes: false
% 1.99/1.26
% 1.99/1.26 % ------ Parsing...
% 1.99/1.26 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.99/1.26 %
% 1.99/1.26
% 1.99/1.26 % ------ Preprocessing... pe_s pe:1:0s pe:2:0s pe:4:0s pe_e pe_s pe_e %
% 1.99/1.26
% 1.99/1.26 % ------ Preprocessing...% ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 1.99/1.26 gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.99/1.26 % ------ Proving...
% 1.99/1.26 % ------ Problem Properties
% 1.99/1.26
% 1.99/1.26 %
% 1.99/1.26 % clauses 10
% 1.99/1.26 % conjectures 1
% 1.99/1.26 % EPR 3
% 1.99/1.26 % Horn 8
% 1.99/1.26 % unary 2
% 1.99/1.26 % binary 3
% 1.99/1.26 % lits 25
% 1.99/1.26 % lits eq 0
% 1.99/1.26 % fd_pure 0
% 1.99/1.26 % fd_pseudo 0
% 1.99/1.26 % fd_cond 0
% 1.99/1.26 % fd_pseudo_cond 0
% 1.99/1.26 % AC symbols 0
% 1.99/1.26
% 1.99/1.26 % ------ Schedule dynamic 5 is on
% 1.99/1.26
% 1.99/1.26 % ------ no equalities: superposition off
% 1.99/1.26
% 1.99/1.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.99/1.26
% 1.99/1.26
% 1.99/1.26 % ------
% 1.99/1.26 % Current options:
% 1.99/1.26 % ------
% 1.99/1.26
% 1.99/1.26
% 1.99/1.26 %
% 1.99/1.26
% 1.99/1.26 % ------ Proving...
% 1.99/1.26 %
% 1.99/1.26
% 1.99/1.26 % SZS status Theorem for theBenchmark.p
% 1.99/1.26
% 1.99/1.26 % SZS output start CNFRefutation for theBenchmark.p
% 1.99/1.26
% 1.99/1.26 tff(func_def_0, type, '$ki_local_world': '$ki_world').
% 1.99/1.26 tff(pred_def_1, type, '$ki_accessible': ('$ki_world' * '$ki_world') > $o).
% 1.99/1.26 tff(pred_def_2, type, number: ('$ki_world' * $i * $i) > $o).
% 1.99/1.26 tff(pred_def_3, type, string: ('$ki_world' * $i) > $o).
% 1.99/1.26 tff(pred_def_4, type, in: ('$ki_world' * $i * $i * $i) > $o).
% 1.99/1.26 tff(pred_def_5, type, do: ('$ki_world' * $i * $i * $i) > $o).
% 1.99/1.26 tff(pred_def_6, type, entry_box: ('$ki_world' * $i) > $o).
% 1.99/1.26 tff(pred_def_7, type, userid: ('$ki_world' * $i * $i) > $o).
% 1.99/1.26 tff(pred_def_8, type, '$ki_exists_in_world_$i': ('$ki_world' * $i) > $o).
% 1.99/1.26 tff(func_def_9, type, sK6: ($i * $i * $i * $i) > '$ki_world').
% 1.99/1.26 tff(f1,axiom,(
% 1.99/1.26 ! [X0 : '$ki_world'] : '$ki_accessible'(X0,X0)),
% 1.99/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive)).
% 1.99/1.26
% 1.99/1.26 tff(f2,axiom,(
% 1.99/1.26 ! [X0 : '$ki_world',X1 : '$ki_world',X2 : '$ki_world'] : (('$ki_accessible'(X0,X1) & '$ki_accessible'(X1,X2)) => '$ki_accessible'(X0,X2))),
% 1.99/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_transitive)).
% 1.99/1.26
% 1.99/1.26 tff(f3,axiom,(
% 1.99/1.26 ! [X0 : '$ki_world',X1 : $i] : '$ki_exists_in_world_$i'(X0,X1)),
% 1.99/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p','$ki_exists_in_world_$i_const')).
% 1.99/1.26
% 1.99/1.26 tff(f5,axiom,(
% 1.99/1.26 ! [X0 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X0) => ? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & ! [X2 : '$ki_world'] : ('$ki_accessible'(X0,X2) => (userid(X2,u,X1) & string(X2,X1)))))),
% 1.99/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1)).
% 1.99/1.26
% 1.99/1.26 tff(f6,axiom,(
% 1.99/1.26 ? [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ('$ki_accessible'('$ki_local_world',X1) => (entry_box(X1,X0) & number(X1,X0,one))))),
% 1.99/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)).
% 1.99/1.26
% 1.99/1.26 tff(f7,axiom,(
% 1.99/1.26 ! [X0 : '$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) => ((string(X0,X2) & entry_box(X0,X3)) => ? [X4 : $i] : ('$ki_exists_in_world_$i'(X0,X4) & ! [X5 : '$ki_world'] : ('$ki_accessible'(X0,X5) => ! [X6 : $i] : ('$ki_exists_in_world_$i'(X5,X6) => (do(X5,X1,X4,X6) => in(X5,X2,X3,X6))))))))))),
% 1.99/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3)).
% 1.99/1.26
% 1.99/1.26 tff(f8,conjecture,(
% 1.99/1.26 ! [X0 : '$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 : $i] : ('$ki_exists_in_world_$i'(X0,X4) & ! [X5 : '$ki_world'] : ('$ki_accessible'(X0,X5) => (userid(X5,u,X1) & entry_box(X5,X2) & number(X5,X2,one))) & ! [X5 : '$ki_world'] : ('$ki_accessible'(X0,X5) => ! [X6 : $i] : ('$ki_exists_in_world_$i'(X5,X6) => (do(X5,X4,X3,X6) => in(X5,X1,X2,X6)))))))))),
% 1.99/1.26 file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify)).
% 1.99/1.26
% 1.99/1.26 tff(f9,negated_conjecture,(
% 1.99/1.26 ~ ! [X0 : '$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 : $i] : ('$ki_exists_in_world_$i'(X0,X4) & ! [X5 : '$ki_world'] : ('$ki_accessible'(X0,X5) => (userid(X5,u,X1) & entry_box(X5,X2) & number(X5,X2,one))) & ! [X5 : '$ki_world'] : ('$ki_accessible'(X0,X5) => ! [X6 : $i] : ('$ki_exists_in_world_$i'(X5,X6) => (do(X5,X4,X3,X6) => in(X5,X1,X2,X6)))))))))),
% 1.99/1.26 inference(negated_conjecture,[status(cth)],[f8])).
% 1.99/1.26
% 1.99/1.26 tff(f10,plain,(
% 1.99/1.26 ~ ! [X0 : '$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 : $i] : ('$ki_exists_in_world_$i'(X0,X4) & ! [X5 : '$ki_world'] : ('$ki_accessible'(X0,X5) => (userid(X5,u,X1) & entry_box(X5,X2) & number(X5,X2,one))) & ! [X6 : '$ki_world'] : ('$ki_accessible'(X0,X6) => ! [X7 : $i] : ('$ki_exists_in_world_$i'(X6,X7) => (do(X6,X4,X3,X7) => in(X6,X1,X2,X7)))))))))),
% 1.99/1.26 inference(rectify,[],[f9])).
% 1.99/1.26
% 1.99/1.26 tff(f11,plain,(
% 1.99/1.26 ! [X0 : '$ki_world',X1 : '$ki_world',X2 : '$ki_world'] : ('$ki_accessible'(X0,X2) | (~'$ki_accessible'(X0,X1) | ~'$ki_accessible'(X1,X2)))),
% 1.99/1.26 inference(ennf_transformation,[],[f2])).
% 1.99/1.26
% 1.99/1.26 tff(f12,plain,(
% 1.99/1.26 ! [X0 : '$ki_world',X1 : '$ki_world',X2 : '$ki_world'] : ('$ki_accessible'(X0,X2) | ~'$ki_accessible'(X0,X1) | ~'$ki_accessible'(X1,X2))),
% 1.99/1.26 inference(flattening,[],[f11])).
% 1.99/1.26
% 1.99/1.26 tff(f13,plain,(
% 1.99/1.26 ! [X0 : '$ki_world'] : (? [X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1) & ! [X2 : '$ki_world'] : ((userid(X2,u,X1) & string(X2,X1)) | ~'$ki_accessible'(X0,X2))) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.99/1.26 inference(ennf_transformation,[],[f5])).
% 1.99/1.26
% 1.99/1.26 tff(f14,plain,(
% 1.99/1.26 ? [X0 : $i] : ('$ki_exists_in_world_$i'('$ki_local_world',X0) & ! [X1 : '$ki_world'] : ((entry_box(X1,X0) & number(X1,X0,one)) | ~'$ki_accessible'('$ki_local_world',X1)))),
% 1.99/1.26 inference(ennf_transformation,[],[f6])).
% 1.99/1.26
% 1.99/1.26 tff(f15,plain,(
% 1.99/1.26 ! [X0 : '$ki_world'] : (! [X1 : $i] : (! [X2 : $i] : (! [X3 : $i] : ((? [X4 : $i] : ('$ki_exists_in_world_$i'(X0,X4) & ! [X5 : '$ki_world'] : (! [X6 : $i] : ((in(X5,X2,X3,X6) | ~do(X5,X1,X4,X6)) | ~'$ki_exists_in_world_$i'(X5,X6)) | ~'$ki_accessible'(X0,X5))) | (~string(X0,X2) | ~entry_box(X0,X3))) | ~'$ki_exists_in_world_$i'(X0,X3)) | ~'$ki_exists_in_world_$i'(X0,X2)) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.99/1.26 inference(ennf_transformation,[],[f7])).
% 1.99/1.26
% 1.99/1.26 tff(f16,plain,(
% 1.99/1.26 ! [X0 : '$ki_world'] : (! [X1 : $i] : (! [X2 : $i] : (! [X3 : $i] : (? [X4 : $i] : ('$ki_exists_in_world_$i'(X0,X4) & ! [X5 : '$ki_world'] : (! [X6 : $i] : (in(X5,X2,X3,X6) | ~do(X5,X1,X4,X6) | ~'$ki_exists_in_world_$i'(X5,X6)) | ~'$ki_accessible'(X0,X5))) | ~string(X0,X2) | ~entry_box(X0,X3) | ~'$ki_exists_in_world_$i'(X0,X3)) | ~'$ki_exists_in_world_$i'(X0,X2)) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.99/1.26 inference(flattening,[],[f15])).
% 1.99/1.26
% 1.99/1.26 tff(f17,plain,(
% 1.99/1.26 ? [X0 : '$ki_world'] : (! [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 : $i] : (~'$ki_exists_in_world_$i'(X0,X4) | ? [X5 : '$ki_world'] : ((~userid(X5,u,X1) | ~entry_box(X5,X2) | ~number(X5,X2,one)) & '$ki_accessible'(X0,X5)) | ? [X6 : '$ki_world'] : (? [X7 : $i] : ((~in(X6,X1,X2,X7) & do(X6,X4,X3,X7)) & '$ki_exists_in_world_$i'(X6,X7)) & '$ki_accessible'(X0,X6)))))) & '$ki_accessible'('$ki_local_world',X0))),
% 1.99/1.26 inference(ennf_transformation,[],[f10])).
% 1.99/1.26
% 1.99/1.26 tff(f18,plain,(
% 1.99/1.26 ? [X0 : '$ki_world'] : (! [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 : $i] : (~'$ki_exists_in_world_$i'(X0,X4) | ? [X5 : '$ki_world'] : ((~userid(X5,u,X1) | ~entry_box(X5,X2) | ~number(X5,X2,one)) & '$ki_accessible'(X0,X5)) | ? [X6 : '$ki_world'] : (? [X7 : $i] : (~in(X6,X1,X2,X7) & do(X6,X4,X3,X7) & '$ki_exists_in_world_$i'(X6,X7)) & '$ki_accessible'(X0,X6)))))) & '$ki_accessible'('$ki_local_world',X0))),
% 1.99/1.26 inference(flattening,[],[f17])).
% 1.99/1.26
% 1.99/1.26 tff(f20,plain,(
% 1.99/1.26 ! [X0 : '$ki_world'] : (('$ki_exists_in_world_$i'(X0,sK1(X0)) & ! [X2 : '$ki_world'] : ((userid(X2,u,sK1(X0)) & string(X2,sK1(X0))) | ~'$ki_accessible'(X0,X2))) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.99/1.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f13])).
% 1.99/1.26
% 1.99/1.26 tff(f21,plain,(
% 1.99/1.26 '$ki_exists_in_world_$i'('$ki_local_world',sK2) & ! [X1 : '$ki_world'] : ((entry_box(X1,sK2) & number(X1,sK2,one)) | ~'$ki_accessible'('$ki_local_world',X1))),
% 1.99/1.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X0,sK2)],[f14])).
% 1.99/1.26
% 1.99/1.26 tff(f22,plain,(
% 1.99/1.26 ! [X0 : '$ki_world'] : (! [X1 : $i] : (! [X2 : $i] : (! [X3 : $i] : (('$ki_exists_in_world_$i'(X0,sK3(X0,X1,X2,X3)) & ! [X5 : '$ki_world'] : (! [X6 : $i] : (in(X5,X2,X3,X6) | ~do(X5,X1,sK3(X0,X1,X2,X3),X6) | ~'$ki_exists_in_world_$i'(X5,X6)) | ~'$ki_accessible'(X0,X5))) | ~string(X0,X2) | ~entry_box(X0,X3) | ~'$ki_exists_in_world_$i'(X0,X3)) | ~'$ki_exists_in_world_$i'(X0,X2)) | ~'$ki_exists_in_world_$i'(X0,X1)) | ~'$ki_accessible'('$ki_local_world',X0))),
% 1.99/1.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X4,sK3(X0,X1,X2,X3))],[f16])).
% 1.99/1.26
% 1.99/1.26 tff(f23,plain,(
% 1.99/1.26 ! [X1 : $i] : (~'$ki_exists_in_world_$i'(sK4,X1) | ! [X2 : $i] : (~'$ki_exists_in_world_$i'(sK4,X2) | ! [X3 : $i] : (~'$ki_exists_in_world_$i'(sK4,X3) | ! [X4 : $i] : (~'$ki_exists_in_world_$i'(sK4,X4) | ((~userid(sK5(X1,X2),u,X1) | ~entry_box(sK5(X1,X2),X2) | ~number(sK5(X1,X2),X2,one)) & '$ki_accessible'(sK4,sK5(X1,X2))) | ((~in(sK6(X1,X2,X3,X4),X1,X2,sK7(X1,X2,X3,X4)) & do(sK6(X1,X2,X3,X4),X4,X3,sK7(X1,X2,X3,X4)) & '$ki_exists_in_world_$i'(sK6(X1,X2,X3,X4),sK7(X1,X2,X3,X4))) & '$ki_accessible'(sK4,sK6(X1,X2,X3,X4))))))) & '$ki_accessible'('$ki_local_world',sK4)),
% 1.99/1.26 inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X5,sK5(X1,X2)),skolemize(X6,sK6(X1,X2,X3,X4)),skolemize(X7,sK7(X1,X2,X3,X4))],[f18])).
% 1.99/1.26
% 1.99/1.26 tff(f24,plain,(
% 1.99/1.26 ( ! [X0 : '$ki_world'] : ('$ki_accessible'(X0,X0)) )),
% 1.99/1.26 inference(cnf_transformation,[],[f1])).
% 1.99/1.26
% 1.99/1.26 tff(f25,plain,(
% 1.99/1.26 ( ! [X2 : '$ki_world',X0 : '$ki_world',X1 : '$ki_world'] : ('$ki_accessible'(X0,X2) | ~'$ki_accessible'(X0,X1) | ~'$ki_accessible'(X1,X2)) )),
% 1.99/1.26 inference(cnf_transformation,[],[f12])).
% 1.99/1.26
% 1.99/1.26 tff(f26,plain,(
% 1.99/1.26 ( ! [X0 : '$ki_world',X1 : $i] : ('$ki_exists_in_world_$i'(X0,X1)) )),
% 1.99/1.26 inference(cnf_transformation,[],[f3])).
% 1.99/1.26
% 1.99/1.26 tff(f28,plain,(
% 1.99/1.26 ( ! [X2 : '$ki_world',X0 : '$ki_world'] : (string(X2,sK1(X0)) | ~'$ki_accessible'(X0,X2) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.99/1.26 inference(cnf_transformation,[],[f20])).
% 1.99/1.26
% 1.99/1.26 tff(f29,plain,(
% 1.99/1.26 ( ! [X2 : '$ki_world',X0 : '$ki_world'] : (userid(X2,u,sK1(X0)) | ~'$ki_accessible'(X0,X2) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.99/1.26 inference(cnf_transformation,[],[f20])).
% 1.99/1.26
% 1.99/1.26 tff(f31,plain,(
% 1.99/1.26 ( ! [X1 : '$ki_world'] : (number(X1,sK2,one) | ~'$ki_accessible'('$ki_local_world',X1)) )),
% 1.99/1.26 inference(cnf_transformation,[],[f21])).
% 1.99/1.26
% 1.99/1.26 tff(f32,plain,(
% 1.99/1.26 ( ! [X1 : '$ki_world'] : (entry_box(X1,sK2) | ~'$ki_accessible'('$ki_local_world',X1)) )),
% 1.99/1.26 inference(cnf_transformation,[],[f21])).
% 1.99/1.26
% 1.99/1.26 tff(f34,plain,(
% 1.99/1.26 ( ! [X2 : $i,X3 : $i,X0 : '$ki_world',X1 : $i,X6 : $i,X5 : '$ki_world'] : (in(X5,X2,X3,X6) | ~do(X5,X1,sK3(X0,X1,X2,X3),X6) | ~'$ki_exists_in_world_$i'(X5,X6) | ~'$ki_accessible'(X0,X5) | ~string(X0,X2) | ~entry_box(X0,X3) | ~'$ki_exists_in_world_$i'(X0,X3) | ~'$ki_exists_in_world_$i'(X0,X2) | ~'$ki_exists_in_world_$i'(X0,X1) | ~'$ki_accessible'('$ki_local_world',X0)) )),
% 1.99/1.26 inference(cnf_transformation,[],[f22])).
% 1.99/1.26
% 1.99/1.26 tff(f36,plain,(
% 1.99/1.26 '$ki_accessible'('$ki_local_world',sK4)),
% 1.99/1.26 inference(cnf_transformation,[],[f23])).
% 1.99/1.26
% 1.99/1.26 tff(f37,plain,(
% 1.99/1.26 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (~'$ki_exists_in_world_$i'(sK4,X1) | ~'$ki_exists_in_world_$i'(sK4,X2) | ~'$ki_exists_in_world_$i'(sK4,X3) | ~'$ki_exists_in_world_$i'(sK4,X4) | '$ki_accessible'(sK4,sK5(X1,X2)) | '$ki_accessible'(sK4,sK6(X1,X2,X3,X4))) )),
% 1.99/1.26 inference(cnf_transformation,[],[f23])).
% 1.99/1.26
% 1.99/1.26 tff(f39,plain,(
% 1.99/1.26 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (~'$ki_exists_in_world_$i'(sK4,X1) | ~'$ki_exists_in_world_$i'(sK4,X2) | ~'$ki_exists_in_world_$i'(sK4,X3) | ~'$ki_exists_in_world_$i'(sK4,X4) | '$ki_accessible'(sK4,sK5(X1,X2)) | do(sK6(X1,X2,X3,X4),X4,X3,sK7(X1,X2,X3,X4))) )),
% 1.99/1.26 inference(cnf_transformation,[],[f23])).
% 1.99/1.26
% 1.99/1.26 tff(f40,plain,(
% 1.99/1.26 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (~'$ki_exists_in_world_$i'(sK4,X1) | ~'$ki_exists_in_world_$i'(sK4,X2) | ~'$ki_exists_in_world_$i'(sK4,X3) | ~'$ki_exists_in_world_$i'(sK4,X4) | '$ki_accessible'(sK4,sK5(X1,X2)) | ~in(sK6(X1,X2,X3,X4),X1,X2,sK7(X1,X2,X3,X4))) )),
% 1.99/1.26 inference(cnf_transformation,[],[f23])).
% 1.99/1.26
% 1.99/1.26 tff(f41,plain,(
% 1.99/1.26 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (~'$ki_exists_in_world_$i'(sK4,X1) | ~'$ki_exists_in_world_$i'(sK4,X2) | ~'$ki_exists_in_world_$i'(sK4,X3) | ~'$ki_exists_in_world_$i'(sK4,X4) | ~userid(sK5(X1,X2),u,X1) | ~entry_box(sK5(X1,X2),X2) | ~number(sK5(X1,X2),X2,one) | '$ki_accessible'(sK4,sK6(X1,X2,X3,X4))) )),
% 1.99/1.26 inference(cnf_transformation,[],[f23])).
% 1.99/1.26
% 1.99/1.26 tff(f43,plain,(
% 1.99/1.26 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (~'$ki_exists_in_world_$i'(sK4,X1) | ~'$ki_exists_in_world_$i'(sK4,X2) | ~'$ki_exists_in_world_$i'(sK4,X3) | ~'$ki_exists_in_world_$i'(sK4,X4) | ~userid(sK5(X1,X2),u,X1) | ~entry_box(sK5(X1,X2),X2) | ~number(sK5(X1,X2),X2,one) | do(sK6(X1,X2,X3,X4),X4,X3,sK7(X1,X2,X3,X4))) )),
% 1.99/1.26 inference(cnf_transformation,[],[f23])).
% 1.99/1.26
% 1.99/1.26 tff(f44,plain,(
% 1.99/1.26 ( ! [X2 : $i,X3 : $i,X1 : $i,X4 : $i] : (~'$ki_exists_in_world_$i'(sK4,X1) | ~'$ki_exists_in_world_$i'(sK4,X2) | ~'$ki_exists_in_world_$i'(sK4,X3) | ~'$ki_exists_in_world_$i'(sK4,X4) | ~userid(sK5(X1,X2),u,X1) | ~entry_box(sK5(X1,X2),X2) | ~number(sK5(X1,X2),X2,one) | ~in(sK6(X1,X2,X3,X4),X1,X2,sK7(X1,X2,X3,X4))) )),
% 1.99/1.26 inference(cnf_transformation,[],[f23])).
% 1.99/1.26
% 1.99/1.26 tcf(c_49,plain,![X0_'ki_world':'$ki_world']:
% 1.99/1.26 ('$ki_accessible'(X0_'ki_world',X0_'ki_world')),
% 1.99/1.26 inference(cnf_transformation,[],[f24])).
% 1.99/1.26
% 1.99/1.26 tcf(c_50,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.99/1.26 (~'$ki_accessible'(X0_'ki_world',X1_'ki_world')|~'$ki_accessible'(X1_'ki_world',X2_'ki_world')|
% 1.99/1.26 '$ki_accessible'(X0_'ki_world',X2_'ki_world')),
% 1.99/1.26 inference(cnf_transformation,[],[f25])).
% 1.99/1.26
% 1.99/1.26 tcf(c_51,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.99/1.26 ('$ki_exists_in_world(X0_'ki_world',X0)),
% 1.99/1.26 inference(cnf_transformation,[],[f26])).
% 1.99/1.26
% 1.99/1.26 tcf(c_54,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.99/1.26 (~'$ki_accessible'(X0_'ki_world',X1_'ki_world')|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.99/1.26 userid(X1_'ki_world',u,sK1(X0_'ki_world'))),
% 1.99/1.26 inference(cnf_transformation,[],[f29])).
% 1.99/1.26
% 1.99/1.26 tcf(c_55,plain,![X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.99/1.26 (~'$ki_accessible'(X0_'ki_world',X1_'ki_world')|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.99/1.26 string(X1_'ki_world',sK1(X0_'ki_world'))),
% 1.99/1.26 inference(cnf_transformation,[],[f28])).
% 1.99/1.26
% 1.99/1.26 tcf(c_57,plain,![X0_'ki_world':'$ki_world']:
% 1.99/1.26 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|entry_box(X0_'ki_world',sK2)),
% 1.99/1.26 inference(cnf_transformation,[],[f32])).
% 1.99/1.26
% 1.99/1.26 tcf(c_58,plain,![X0_'ki_world':'$ki_world']:
% 1.99/1.26 (~'$ki_accessible'('$ki_local_world',X0_'ki_world')|number(X0_'ki_world',sK2,one)),
% 1.99/1.26 inference(cnf_transformation,[],[f31])).
% 1.99/1.26
% 1.99/1.26 tcf(c_60,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X3:$i]:
% 1.99/1.26 (~do(X0_'ki_world',X0,sK3(X1_'ki_world',X0,X1,X2),X3)|~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|
% 1.99/1.26 ~string(X1_'ki_world',X1)|~entry_box(X1_'ki_world',X2)|~'$ki_exists_in_world(X0_'ki_world',X3)|
% 1.99/1.26 ~'$ki_exists_in_world(X1_'ki_world',X0)|~'$ki_exists_in_world(X1_'ki_world',X1)|
% 1.99/1.26 ~'$ki_exists_in_world(X1_'ki_world',X2)|~'$ki_accessible'('$ki_local_world',X1_'ki_world')|
% 1.99/1.26 in(X0_'ki_world',X1,X2,X3)),
% 1.99/1.26 inference(cnf_transformation,[],[f34])).
% 1.99/1.26
% 1.99/1.26 tcf(c_61,negated_conjecture,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~in(sK6(X0,X1,X2,X3),X0,X1,sK7(X0,X1,X2,X3))|~number(sK5(X0,X1),X1,one)|
% 1.99/1.26 ~userid(sK5(X0,X1),u,X0)|~entry_box(sK5(X0,X1),X1)|~'$ki_exists_in_world(sK4,X0)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|~'$ki_exists_in_world(sK4,X3)),
% 1.99/1.26 inference(cnf_transformation,[],[f44])).
% 1.99/1.26
% 1.99/1.26 tcf(c_62,negated_conjecture,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~number(sK5(X0,X1),X1,one)|~userid(sK5(X0,X1),u,X0)|~entry_box(sK5(X0,X1),X1)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X0)|~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X3)|do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3))),
% 1.99/1.26 inference(cnf_transformation,[],[f43])).
% 1.99/1.26
% 1.99/1.26 tcf(c_64,negated_conjecture,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~number(sK5(X0,X1),X1,one)|~userid(sK5(X0,X1),u,X0)|~entry_box(sK5(X0,X1),X1)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X0)|~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X3)|'$ki_accessible'(sK4,sK6(X0,X1,X2,X3))),
% 1.99/1.26 inference(cnf_transformation,[],[f41])).
% 1.99/1.26
% 1.99/1.26 tcf(c_65,negated_conjecture,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~in(sK6(X0,X1,X2,X3),X0,X1,sK7(X0,X1,X2,X3))|~'$ki_exists_in_world(sK4,X0)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|~'$ki_exists_in_world(sK4,X3)|
% 1.99/1.26 '$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.26 inference(cnf_transformation,[],[f40])).
% 1.99/1.26
% 1.99/1.26 tcf(c_66,negated_conjecture,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~'$ki_exists_in_world(sK4,X0)|~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X3)|do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3))|
% 1.99/1.26 '$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.26 inference(cnf_transformation,[],[f39])).
% 1.99/1.26
% 1.99/1.26 tcf(c_68,negated_conjecture,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~'$ki_exists_in_world(sK4,X0)|~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X3)|'$ki_accessible'(sK4,sK6(X0,X1,X2,X3))|
% 1.99/1.26 '$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.26 inference(cnf_transformation,[],[f37])).
% 1.99/1.26
% 1.99/1.26 tcf(c_69,negated_conjecture,
% 1.99/1.26 ('$ki_accessible'('$ki_local_world',sK4)),
% 1.99/1.26 inference(cnf_transformation,[],[f36])).
% 1.99/1.26
% 1.99/1.26 tcf(c_71,plain,
% 1.99/1.26 ('$ki_accessible'(sK4,sK4)),
% 1.99/1.26 inference(instantiation,[status(thm)],[c_49])).
% 1.99/1.26
% 1.99/1.26 tcf(c_94,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~'$ki_exists_in_world(sK4,X0)|~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|
% 1.99/1.26 '$ki_accessible'(sK4,sK6(X3,X0,X1,X2))|'$ki_accessible'(sK4,sK5(X3,X0))),
% 1.99/1.26 inference(backward_subsumption_resolution,[status(thm)],[c_68,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_95,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~in(sK6(X0,X1,X2,X3),X0,X1,sK7(X0,X1,X2,X3))|~'$ki_exists_in_world(sK4,X1)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X2)|~'$ki_exists_in_world(sK4,X3)|'$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.26 inference(backward_subsumption_resolution,[status(thm)],[c_65,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_96,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~number(sK5(X0,X1),X1,one)|~userid(sK5(X0,X1),u,X0)|~entry_box(sK5(X0,X1),X1)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|~'$ki_exists_in_world(sK4,X3)|
% 1.99/1.26 '$ki_accessible'(sK4,sK6(X0,X1,X2,X3))),
% 1.99/1.26 inference(backward_subsumption_resolution,[status(thm)],[c_64,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_97,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~in(sK6(X0,X1,X2,X3),X0,X1,sK7(X0,X1,X2,X3))|~number(sK5(X0,X1),X1,one)|
% 1.99/1.26 ~userid(sK5(X0,X1),u,X0)|~entry_box(sK5(X0,X1),X1)|~'$ki_exists_in_world(sK4,X1)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X2)|~'$ki_exists_in_world(sK4,X3)),
% 1.99/1.26 inference(backward_subsumption_resolution,[status(thm)],[c_61,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_98,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X3:$i]:
% 1.99/1.26 (~do(X0_'ki_world',X0,sK3(X1_'ki_world',X0,X1,X2),X3)|~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|
% 1.99/1.26 ~string(X1_'ki_world',X1)|~entry_box(X1_'ki_world',X2)|~'$ki_exists_in_world(X1_'ki_world',X0)|
% 1.99/1.26 ~'$ki_exists_in_world(X1_'ki_world',X1)|~'$ki_exists_in_world(X1_'ki_world',X2)|
% 1.99/1.26 ~'$ki_accessible'('$ki_local_world',X1_'ki_world')|in(X0_'ki_world',X1,X2,X3)),
% 1.99/1.26 inference(backward_subsumption_resolution,[status(thm)],[c_60,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_99,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~'$ki_exists_in_world(sK4,X0)|~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|
% 1.99/1.26 do(sK6(X3,X0,X1,X2),X2,X1,sK7(X3,X0,X1,X2))|'$ki_accessible'(sK4,sK5(X3,X0))),
% 1.99/1.26 inference(backward_subsumption_resolution,[status(thm)],[c_66,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_100,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~number(sK5(X0,X1),X1,one)|~userid(sK5(X0,X1),u,X0)|~entry_box(sK5(X0,X1),X1)|
% 1.99/1.26 ~'$ki_exists_in_world(sK4,X1)|~'$ki_exists_in_world(sK4,X2)|~'$ki_exists_in_world(sK4,X3)|
% 1.99/1.26 do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3))),
% 1.99/1.26 inference(backward_subsumption_resolution,[status(thm)],[c_62,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_134,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 ('$ki_accessible'(sK4,sK6(X0,X1,X2,X3))|'$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.26 inference(forward_subsumption_resolution,
% 1.99/1.26 [status(thm)],
% 1.99/1.26 [c_94,c_51,c_51,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_147,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3))|'$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.26 inference(forward_subsumption_resolution,
% 1.99/1.26 [status(thm)],
% 1.99/1.26 [c_99,c_51,c_51,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_160,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~in(sK6(X0,X1,X2,X3),X0,X1,sK7(X0,X1,X2,X3))|'$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.26 inference(forward_subsumption_resolution,
% 1.99/1.26 [status(thm)],
% 1.99/1.26 [c_95,c_51,c_51,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_175,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~number(sK5(X0,X1),X1,one)|~userid(sK5(X0,X1),u,X0)|~entry_box(sK5(X0,X1),X1)|
% 1.99/1.26 '$ki_accessible'(sK4,sK6(X0,X1,X2,X3))),
% 1.99/1.26 inference(forward_subsumption_resolution,
% 1.99/1.26 [status(thm)],
% 1.99/1.26 [c_96,c_51,c_51,c_51])).
% 1.99/1.26
% 1.99/1.26 tcf(c_196,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.26 (~number(sK5(X0,X1),X1,one)|~userid(sK5(X0,X1),u,X0)|~entry_box(sK5(X0,X1),X1)|
% 1.99/1.27 do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3))),
% 1.99/1.27 inference(forward_subsumption_resolution,
% 1.99/1.27 [status(thm)],
% 1.99/1.27 [c_100,c_51,c_51,c_51])).
% 1.99/1.27
% 1.99/1.27 tcf(c_217,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.27 (~in(sK6(X0,X1,X2,X3),X0,X1,sK7(X0,X1,X2,X3))|~number(sK5(X0,X1),X1,one)|
% 1.99/1.27 ~userid(sK5(X0,X1),u,X0)|~entry_box(sK5(X0,X1),X1)),
% 1.99/1.27 inference(forward_subsumption_resolution,
% 1.99/1.27 [status(thm)],
% 1.99/1.27 [c_97,c_51,c_51,c_51])).
% 1.99/1.27
% 1.99/1.27 tcf(c_240,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X3:$i]:
% 1.99/1.27 (~do(X0_'ki_world',X0,sK3(X1_'ki_world',X0,X1,X2),X3)|~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|
% 1.99/1.27 ~string(X1_'ki_world',X1)|~entry_box(X1_'ki_world',X2)|~'$ki_accessible'('$ki_local_world',X1_'ki_world')|
% 1.99/1.27 in(X0_'ki_world',X1,X2,X3)),
% 1.99/1.27 inference(forward_subsumption_resolution,
% 1.99/1.27 [status(thm)],
% 1.99/1.27 [c_98,c_51,c_51,c_51])).
% 1.99/1.27
% 1.99/1.27 tcf(c_260,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X2_'ki_world':'$ki_world']:
% 1.99/1.27 (~do(X0_'ki_world',X0,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),X1),X2)|
% 1.99/1.27 ~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|~'$ki_accessible'(X2_'ki_world',X1_'ki_world')|
% 1.99/1.27 ~entry_box(X1_'ki_world',X1)|~'$ki_accessible'('$ki_local_world',X1_'ki_world')|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',X2_'ki_world')|in(X0_'ki_world',sK1(X2_'ki_world'),X1,X2)),
% 1.99/1.27 inference(resolution,[status(thm)],[c_55,c_240])).
% 1.99/1.27
% 1.99/1.27 tcf(c_276,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2:$i,X2_'ki_world':'$ki_world']:
% 1.99/1.27 (~do(X0_'ki_world',X0,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),X1),X2)|
% 1.99/1.27 ~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|~'$ki_accessible'(X2_'ki_world',X1_'ki_world')|
% 1.99/1.27 ~entry_box(X1_'ki_world',X1)|~'$ki_accessible'('$ki_local_world',X2_'ki_world')|
% 1.99/1.27 in(X0_'ki_world',sK1(X2_'ki_world'),X1,X2)),
% 1.99/1.27 inference(forward_subsumption_resolution,[status(thm)],[c_260,c_50])).
% 1.99/1.27
% 1.99/1.27 tcf(c_289,plain,![X0:$i,X1:$i,X2:$i]:
% 1.99/1.27 (~in(sK6(X0,sK2,X1,X2),X0,sK2,sK7(X0,sK2,X1,X2))|~userid(sK5(X0,sK2),u,X0)|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',sK5(X0,sK2))|~entry_box(sK5(X0,sK2),sK2)),
% 1.99/1.27 inference(resolution,[status(thm)],[c_58,c_217])).
% 1.99/1.27
% 1.99/1.27 tcf(c_299,plain,![X0:$i,X1:$i,X2:$i]:
% 1.99/1.27 (~in(sK6(X0,sK2,X1,X2),X0,sK2,sK7(X0,sK2,X1,X2))|~userid(sK5(X0,sK2),u,X0)|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',sK5(X0,sK2))),
% 1.99/1.27 inference(forward_subsumption_resolution,[status(thm)],[c_289,c_57])).
% 1.99/1.27
% 1.99/1.27 tcf(c_304,plain,![X0:$i,X1:$i,X2:$i]:
% 1.99/1.27 (~userid(sK5(X0,sK2),u,X0)|~'$ki_accessible'('$ki_local_world',sK5(X0,sK2))|
% 1.99/1.27 ~entry_box(sK5(X0,sK2),sK2)|do(sK6(X0,sK2,X1,X2),X2,X1,sK7(X0,sK2,X1,X2))),
% 1.99/1.27 inference(resolution,[status(thm)],[c_58,c_196])).
% 1.99/1.27
% 1.99/1.27 tcf(c_314,plain,![X0:$i,X1:$i,X2:$i]:
% 1.99/1.27 (~userid(sK5(X0,sK2),u,X0)|~'$ki_accessible'('$ki_local_world',sK5(X0,sK2))|
% 1.99/1.27 do(sK6(X0,sK2,X1,X2),X2,X1,sK7(X0,sK2,X1,X2))),
% 1.99/1.27 inference(forward_subsumption_resolution,[status(thm)],[c_304,c_57])).
% 1.99/1.27
% 1.99/1.27 tcf(c_319,plain,![X0:$i,X1:$i,X2:$i]:
% 1.99/1.27 (~userid(sK5(X0,sK2),u,X0)|~'$ki_accessible'('$ki_local_world',sK5(X0,sK2))|
% 1.99/1.27 ~entry_box(sK5(X0,sK2),sK2)|'$ki_accessible'(sK4,sK6(X0,sK2,X1,X2))),
% 1.99/1.27 inference(resolution,[status(thm)],[c_58,c_175])).
% 1.99/1.27
% 1.99/1.27 tcf(c_329,plain,![X0:$i,X1:$i,X2:$i]:
% 1.99/1.27 (~userid(sK5(X0,sK2),u,X0)|~'$ki_accessible'('$ki_local_world',sK5(X0,sK2))|
% 1.99/1.27 '$ki_accessible'(sK4,sK6(X0,sK2,X1,X2))),
% 1.99/1.27 inference(forward_subsumption_resolution,[status(thm)],[c_319,c_57])).
% 1.99/1.27
% 1.99/1.27 tcf(c_343,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.99/1.27 (~do(X0_'ki_world',X0,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),sK2),X1)|
% 1.99/1.27 ~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|~'$ki_accessible'(X2_'ki_world',X1_'ki_world')|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',X1_'ki_world')|~'$ki_accessible'('$ki_local_world',X2_'ki_world')|
% 1.99/1.27 in(X0_'ki_world',sK1(X2_'ki_world'),sK2,X1)),
% 1.99/1.27 inference(resolution,[status(thm)],[c_57,c_276])).
% 1.99/1.27
% 1.99/1.27 tcf(c_357,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i,X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.99/1.27 (~do(X0_'ki_world',X0,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),sK2),X1)|
% 1.99/1.27 ~'$ki_accessible'(X1_'ki_world',X0_'ki_world')|~'$ki_accessible'(X2_'ki_world',X1_'ki_world')|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',X2_'ki_world')|in(X0_'ki_world',sK1(X2_'ki_world'),sK2,X1)),
% 1.99/1.27 inference(forward_subsumption_resolution,[status(thm)],[c_343,c_50])).
% 1.99/1.27
% 1.99/1.27 tcf(c_464,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (~'$ki_accessible'(X0_'ki_world',sK5(sK1(X0_'ki_world'),sK2))|~'$ki_accessible'('$ki_local_world',sK5(sK1(X0_'ki_world'),sK2))|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',X0_'ki_world')|'$ki_accessible'(sK4,sK6(sK1(X0_'ki_world'),sK2,X0,X1))),
% 1.99/1.27 inference(resolution,[status(thm)],[c_54,c_329])).
% 1.99/1.27
% 1.99/1.27 tcf(c_474,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (~'$ki_accessible'(X0_'ki_world',sK5(sK1(X0_'ki_world'),sK2))|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.99/1.27 '$ki_accessible'(sK4,sK6(sK1(X0_'ki_world'),sK2,X0,X1))),
% 1.99/1.27 inference(forward_subsumption_resolution,[status(thm)],[c_464,c_50])).
% 1.99/1.27
% 1.99/1.27 tcf(c_479,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (~'$ki_accessible'(X0_'ki_world',sK5(sK1(X0_'ki_world'),sK2))|~'$ki_accessible'('$ki_local_world',sK5(sK1(X0_'ki_world'),sK2))|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',X0_'ki_world')|do(sK6(sK1(X0_'ki_world'),sK2,X0,X1),X1,X0,sK7(sK1(X0_'ki_world'),sK2,X0,X1))),
% 1.99/1.27 inference(resolution,[status(thm)],[c_54,c_314])).
% 1.99/1.27
% 1.99/1.27 tcf(c_489,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (~'$ki_accessible'(X0_'ki_world',sK5(sK1(X0_'ki_world'),sK2))|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.99/1.27 do(sK6(sK1(X0_'ki_world'),sK2,X0,X1),X1,X0,sK7(sK1(X0_'ki_world'),sK2,X0,X1))),
% 1.99/1.27 inference(forward_subsumption_resolution,[status(thm)],[c_479,c_50])).
% 1.99/1.27
% 1.99/1.27 tcf(c_494,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (~in(sK6(sK1(X0_'ki_world'),sK2,X0,X1),sK1(X0_'ki_world'),sK2,sK7(sK1(X0_'ki_world'),sK2,X0,X1))|
% 1.99/1.27 ~'$ki_accessible'(X0_'ki_world',sK5(sK1(X0_'ki_world'),sK2))|~'$ki_accessible'('$ki_local_world',sK5(sK1(X0_'ki_world'),sK2))|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',X0_'ki_world')),
% 1.99/1.27 inference(resolution,[status(thm)],[c_54,c_299])).
% 1.99/1.27
% 1.99/1.27 tcf(c_504,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (~in(sK6(sK1(X0_'ki_world'),sK2,X0,X1),sK1(X0_'ki_world'),sK2,sK7(sK1(X0_'ki_world'),sK2,X0,X1))|
% 1.99/1.27 ~'$ki_accessible'(X0_'ki_world',sK5(sK1(X0_'ki_world'),sK2))|~'$ki_accessible'('$ki_local_world',X0_'ki_world')),
% 1.99/1.27 inference(forward_subsumption_resolution,[status(thm)],[c_494,c_50])).
% 1.99/1.27
% 1.99/1.27 tcf(c_577,plain,![X0:$i,X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.99/1.27 (~'$ki_accessible'(X0_'ki_world',sK6(sK1(X1_'ki_world'),sK2,sK3(X0_'ki_world',X0,sK1(X2_'ki_world'),sK2),X0))|
% 1.99/1.27 ~'$ki_accessible'(X1_'ki_world',sK5(sK1(X1_'ki_world'),sK2))|~'$ki_accessible'(X2_'ki_world',X0_'ki_world')|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',X1_'ki_world')|~'$ki_accessible'('$ki_local_world',X2_'ki_world')|
% 1.99/1.27 in(sK6(sK1(X1_'ki_world'),sK2,sK3(X0_'ki_world',X0,sK1(X2_'ki_world'),sK2),X0),sK1(X2_'ki_world'),sK2,sK7(sK1(X1_'ki_world'),sK2,sK3(X0_'ki_world',X0,sK1(X2_'ki_world'),sK2),X0))),
% 1.99/1.27 inference(resolution,[status(thm)],[c_357,c_489])).
% 1.99/1.27
% 1.99/1.27 tcf(c_578,plain,
% 1.99/1.27 (~'$ki_accessible'(sK4,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))|
% 1.99/1.27 ~'$ki_accessible'(sK4,sK5(sK1(sK4),sK2))|~'$ki_accessible'('$ki_local_world',sK4)|
% 1.99/1.27 ~'$ki_accessible'(sK4,sK4)|in(sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK7(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_577])).
% 1.99/1.27
% 1.99/1.27 tcf(c_746,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (~in(sK6(sK1(X0_'ki_world'),sK2,X0,X1),sK1(X0_'ki_world'),sK2,sK7(sK1(X0_'ki_world'),sK2,X0,X1))|
% 1.99/1.27 ~'$ki_accessible'(X0_'ki_world',sK5(sK1(X0_'ki_world'),sK2))|~'$ki_accessible'('$ki_local_world',X0_'ki_world')),
% 1.99/1.27 inference(demodulation,[status(thm)],[c_504])).
% 1.99/1.27
% 1.99/1.27 tcf(c_748,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (~'$ki_accessible'(X0_'ki_world',sK5(sK1(X0_'ki_world'),sK2))|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.99/1.27 '$ki_accessible'(sK4,sK6(sK1(X0_'ki_world'),sK2,X0,X1))),
% 1.99/1.27 inference(demodulation,[status(thm)],[c_474])).
% 1.99/1.27
% 1.99/1.27 tcf(c_749,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.27 (~in(sK6(X0,X1,X2,X3),X0,X1,sK7(X0,X1,X2,X3))|'$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.27 inference(demodulation,[status(thm)],[c_160])).
% 1.99/1.27
% 1.99/1.27 tcf(c_750,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.27 (do(sK6(X0,X1,X2,X3),X3,X2,sK7(X0,X1,X2,X3))|'$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.27 inference(demodulation,[status(thm)],[c_147])).
% 1.99/1.27
% 1.99/1.27 tcf(c_751,plain,![X0:$i,X1:$i,X2:$i,X3:$i]:
% 1.99/1.27 ('$ki_accessible'(sK4,sK6(X0,X1,X2,X3))|'$ki_accessible'(sK4,sK5(X0,X1))),
% 1.99/1.27 inference(demodulation,[status(thm)],[c_134])).
% 1.99/1.27
% 1.99/1.27 tcf(c_756,plain,![X0:$i,X1:$i]:
% 1.99/1.27 ('$ki_accessible'(sK4,sK6(sK1(sK4),sK2,X0,X1))|'$ki_accessible'(sK4,sK5(sK1(sK4),sK2))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_751])).
% 1.99/1.27
% 1.99/1.27 tcf(c_774,plain,![X0:$i,X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world',X2_'ki_world':'$ki_world']:
% 1.99/1.27 (~do(sK6(sK1(X0_'ki_world'),sK2,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),sK2),X0),X0,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),sK2),sK7(sK1(X0_'ki_world'),sK2,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),sK2),X0))|
% 1.99/1.27 ~'$ki_accessible'(X1_'ki_world',sK6(sK1(X0_'ki_world'),sK2,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),sK2),X0))|
% 1.99/1.27 ~'$ki_accessible'(X2_'ki_world',X1_'ki_world')|~'$ki_accessible'('$ki_local_world',X2_'ki_world')|
% 1.99/1.27 in(sK6(sK1(X0_'ki_world'),sK2,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),sK2),X0),sK1(X2_'ki_world'),sK2,sK7(sK1(X0_'ki_world'),sK2,sK3(X1_'ki_world',X0,sK1(X2_'ki_world'),sK2),X0))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_357])).
% 1.99/1.27
% 1.99/1.27 tcf(c_776,plain,
% 1.99/1.27 (~do(sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),one,sK3(sK4,one,sK1(sK4),sK2),sK7(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))|
% 1.99/1.27 ~'$ki_accessible'(sK4,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))|
% 1.99/1.27 ~'$ki_accessible'('$ki_local_world',sK4)|~'$ki_accessible'(sK4,sK4)|
% 1.99/1.27 in(sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK7(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_774])).
% 1.99/1.27
% 1.99/1.27 tcf(c_780,plain,![X0:$i,X0_'ki_world':'$ki_world',X1_'ki_world':'$ki_world']:
% 1.99/1.27 (~'$ki_accessible'(X0_'ki_world',sK5(sK1(X0_'ki_world'),sK2))|~'$ki_accessible'('$ki_local_world',X0_'ki_world')|
% 1.99/1.27 '$ki_accessible'(sK4,sK6(sK1(X0_'ki_world'),sK2,sK3(sK4,X0,sK1(X1_'ki_world'),sK2),X0))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_748])).
% 1.99/1.27
% 1.99/1.27 tcf(c_781,plain,
% 1.99/1.27 (~'$ki_accessible'(sK4,sK5(sK1(sK4),sK2))|~'$ki_accessible'('$ki_local_world',sK4)|
% 1.99/1.27 '$ki_accessible'(sK4,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_780])).
% 1.99/1.27
% 1.99/1.27 tcf(c_795,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (do(sK6(sK1(X0_'ki_world'),sK2,X0,X1),X1,X0,sK7(sK1(X0_'ki_world'),sK2,X0,X1))|
% 1.99/1.27 '$ki_accessible'(sK4,sK5(sK1(X0_'ki_world'),sK2))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_750])).
% 1.99/1.27
% 1.99/1.27 tcf(c_796,plain,![X0:$i,X0_'ki_world':'$ki_world',X1:$i]:
% 1.99/1.27 (~in(sK6(sK1(X0_'ki_world'),sK2,X0,X1),sK1(X0_'ki_world'),sK2,sK7(sK1(X0_'ki_world'),sK2,X0,X1))|
% 1.99/1.27 '$ki_accessible'(sK4,sK5(sK1(X0_'ki_world'),sK2))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_749])).
% 1.99/1.27
% 1.99/1.27 tcf(c_806,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.99/1.27 ('$ki_accessible'(sK4,sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(X0_'ki_world'),sK2),X0))|
% 1.99/1.27 '$ki_accessible'(sK4,sK5(sK1(sK4),sK2))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_756])).
% 1.99/1.27
% 1.99/1.27 tcf(c_808,plain,
% 1.99/1.27 ('$ki_accessible'(sK4,sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))|
% 1.99/1.27 '$ki_accessible'(sK4,sK5(sK1(sK4),sK2))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_806])).
% 1.99/1.27
% 1.99/1.27 tcf(c_820,plain,![X0:$i,X0_'ki_world':'$ki_world']:
% 1.99/1.27 (do(sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(X0_'ki_world'),sK2),X0),X0,sK3(sK4,X0,sK1(X0_'ki_world'),sK2),sK7(sK1(sK4),sK2,sK3(sK4,X0,sK1(X0_'ki_world'),sK2),X0))|
% 1.99/1.27 '$ki_accessible'(sK4,sK5(sK1(sK4),sK2))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_795])).
% 1.99/1.27
% 1.99/1.27 tcf(c_822,plain,
% 1.99/1.27 (do(sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),one,sK3(sK4,one,sK1(sK4),sK2),sK7(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))|
% 1.99/1.27 '$ki_accessible'(sK4,sK5(sK1(sK4),sK2))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_820])).
% 1.99/1.27
% 1.99/1.27 tcf(c_847,plain,![X0:$i]:
% 1.99/1.27 (~in(sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0),sK1(sK4),sK2,sK7(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0))|
% 1.99/1.27 '$ki_accessible'(sK4,sK5(sK1(sK4),sK2))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_796])).
% 1.99/1.27
% 1.99/1.27 tcf(c_848,plain,![X0:$i]:
% 1.99/1.27 (~in(sK6(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0),sK1(sK4),sK2,sK7(sK1(sK4),sK2,sK3(sK4,X0,sK1(sK4),sK2),X0))|
% 1.99/1.27 ~'$ki_accessible'(sK4,sK5(sK1(sK4),sK2))|~'$ki_accessible'('$ki_local_world',sK4)),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_746])).
% 1.99/1.27
% 1.99/1.27 tcf(c_849,plain,
% 1.99/1.27 (~in(sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK7(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))|
% 1.99/1.27 ~'$ki_accessible'(sK4,sK5(sK1(sK4),sK2))|~'$ki_accessible'('$ki_local_world',sK4)),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_848])).
% 1.99/1.27
% 1.99/1.27 tcf(c_850,plain,
% 1.99/1.27 (~in(sK6(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one),sK1(sK4),sK2,sK7(sK1(sK4),sK2,sK3(sK4,one,sK1(sK4),sK2),one))|
% 1.99/1.27 '$ki_accessible'(sK4,sK5(sK1(sK4),sK2))),
% 1.99/1.27 inference(instantiation,[status(thm)],[c_847])).
% 1.99/1.27
% 1.99/1.27 tcf(c_864,plain,
% 1.99/1.27 ($false),
% 1.99/1.27 inference(prop_impl_just,
% 1.99/1.27 [status(thm)],
% 1.99/1.27 [c_850,c_849,c_822,c_808,c_781,c_776,c_578,c_71,c_69])).
% 1.99/1.27
% 1.99/1.27
% 1.99/1.27 % SZS output end CNFRefutation for theBenchmark.p
% 1.99/1.27
% 1.99/1.27
%------------------------------------------------------------------------------