%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PLA053_2 : TPTP v9.0.0. Released v8.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:22:58 AM UTC 2025
% Result : Theorem 0.11s 0.37s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PLA053_2 : TPTP v9.0.0. Released v8.2.0.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n010.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 02:29:41 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.37 % SZS status Theorem
% 0.11/0.37 % SZS output start Proof
% 0.11/0.37 tff(tptp_fun___ki_accessible__type, type, (
% 0.11/0.37 tptp_fun___ki_accessible_: ( |'$ki_world'| * |'$ki_world'| ) > $o)).
% 0.11/0.37 tff(tptp_fun_W_4_type, type, (
% 0.11/0.37 tptp_fun_W_4: |'$ki_world'|)).
% 0.11/0.37 tff(h_type, type, (
% 0.11/0.37 h: ( |'$ki_world'| * $i ) > $o)).
% 0.11/0.37 tff(tptp_fun_D_3_type, type, (
% 0.11/0.37 tptp_fun_D_3: ( $i * |'$ki_world'| ) > $i)).
% 0.11/0.37 tff(tptp_fun_X_5_type, type, (
% 0.11/0.37 tptp_fun_X_5: $i)).
% 0.11/0.37 tff(bomb_type, type, (
% 0.11/0.37 bomb: ( |'$ki_world'| * $i ) > $o)).
% 0.11/0.37 tff(defused_type, type, (
% 0.11/0.37 defused: ( |'$ki_world'| * $i ) > $o)).
% 0.11/0.37 tff(tptp_fun___ki_exists_in_world__i__type, type, (
% 0.11/0.37 tptp_fun___ki_exists_in_world__i_: ( |'$ki_world'| * $i ) > $o)).
% 0.11/0.37 tff(tptp_fun___ki_local_world__type, type, (
% 0.11/0.37 tptp_fun___ki_local_world_: |'$ki_world'|)).
% 0.11/0.37 tff(1,plain,
% 0.11/0.37 ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4) & (tptp_fun___ki_exists_in_world__i_(W!4, X!5) & ![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)))))) <=> (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4) & tptp_fun___ki_exists_in_world__i_(W!4, X!5) & ![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(2,plain,
% 0.11/0.37 ((tptp_fun___ki_exists_in_world__i_(W!4, X!5) & ![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5))))) <=> (tptp_fun___ki_exists_in_world__i_(W!4, X!5) & ![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(3,plain,
% 0.11/0.37 ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4) & (tptp_fun___ki_exists_in_world__i_(W!4, X!5) & ![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)))))) <=> (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4) & (tptp_fun___ki_exists_in_world__i_(W!4, X!5) & ![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5))))))),
% 0.11/0.37 inference(monotonicity,[status(thm)],[2])).
% 0.11/0.37 tff(4,plain,
% 0.11/0.37 ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4) & (tptp_fun___ki_exists_in_world__i_(W!4, X!5) & ![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)))))) <=> (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4) & tptp_fun___ki_exists_in_world__i_(W!4, X!5) & ![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)))))),
% 0.11/0.37 inference(transitivity,[status(thm)],[3, 1])).
% 0.11/0.37 tff(5,plain,
% 0.11/0.37 ((~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ((~(bomb(W, X) & h(W, D))) | defused(W, X)))))) <=> (~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ((~(bomb(W, X) & h(W, D))) | defused(W, X))))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(6,plain,
% 0.11/0.37 ((~![W: |'$ki_world'|] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![X: $i] : (tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ((bomb(W, X) & h(W, D)) => defused(W, X)))))) <=> (~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ((~(bomb(W, X) & h(W, D))) | defused(W, X))))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(7,axiom,(~![W: |'$ki_world'|] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![X: $i] : (tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ((bomb(W, X) & h(W, D)) => defused(W, X)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','verify')).
% 0.11/0.37 tff(8,plain,
% 0.11/0.37 (~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ((~(bomb(W, X) & h(W, D))) | defused(W, X)))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.11/0.37 tff(9,plain,
% 0.11/0.37 (~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ((~(bomb(W, X) & h(W, D))) | defused(W, X)))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.11/0.37 tff(10,plain,
% 0.11/0.37 (~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ((~(bomb(W, X) & h(W, D))) | defused(W, X)))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.11/0.37 tff(11,plain,
% 0.11/0.37 (~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ((~(bomb(W, X) & h(W, D))) | defused(W, X)))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[10, 5])).
% 0.11/0.37 tff(12,plain,
% 0.11/0.37 (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4) & tptp_fun___ki_exists_in_world__i_(W!4, X!5) & ![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[11, 4])).
% 0.11/0.37 tff(13,plain,
% 0.11/0.37 (tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)),
% 0.11/0.37 inference(and_elim,[status(thm)],[12])).
% 0.11/0.37 tff(14,plain,
% 0.11/0.37 (^[W: |'$ki_world'|] : refl(((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W))))))))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W))))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(15,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W))))))))) <=> ![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[14])).
% 0.11/0.37 tff(16,plain,
% 0.11/0.37 (^[W: |'$ki_world'|] : rewrite(((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W))))))))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W))))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(17,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W))))))))) <=> ![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[16])).
% 0.11/0.37 tff(18,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W))))))))) <=> ![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))),
% 0.11/0.37 inference(transitivity,[status(thm)],[17, 15])).
% 0.11/0.37 tff(19,plain,
% 0.11/0.37 (^[W: |'$ki_world'|] : rewrite(((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W)) & ![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~(bomb(W0, X) & h(W0, tptp_fun_D_3(X, W)))))))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W))))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(20,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W)) & ![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~(bomb(W0, X) & h(W0, tptp_fun_D_3(X, W)))))))) <=> ![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[19])).
% 0.11/0.37 tff(21,plain,
% 0.11/0.37 (^[W: |'$ki_world'|] : rewrite(((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W)) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, tptp_fun_D_3(X, W)))) | (~tptp_fun___ki_accessible_(W, W0)))))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W)) & ![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~(bomb(W0, X) & h(W0, tptp_fun_D_3(X, W)))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(22,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W)) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, tptp_fun_D_3(X, W)))) | (~tptp_fun___ki_accessible_(W, W0)))))) <=> ![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W)) & ![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~(bomb(W0, X) & h(W0, tptp_fun_D_3(X, W))))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[21])).
% 0.11/0.37 tff(23,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0)))))) <=> ![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0))))))),
% 0.11/0.37 inference(rewrite,[status(thm)],[])).
% 0.11/0.37 tff(24,plain,
% 0.11/0.37 (^[W: |'$ki_world'|] : trans(monotonicity(quant_intro(proof_bind(^[X: $i] : trans(monotonicity(quant_intro(proof_bind(^[D: $i] : rewrite((tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (tptp_fun___ki_accessible_(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X)))) <=> (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0)))))), (?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (tptp_fun___ki_accessible_(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X)))) <=> ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0)))))), ((tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (tptp_fun___ki_accessible_(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X))))) <=> (tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0))))))), rewrite((tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0))))) <=> ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0)))))), ((tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (tptp_fun___ki_accessible_(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X))))) <=> ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0)))))))), (![X: $i] : (tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (tptp_fun___ki_accessible_(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X))))) <=> ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0))))))), ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![X: $i] : (tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (tptp_fun___ki_accessible_(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X)))))) <=> (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0)))))))), rewrite((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0)))))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0))))))), ((tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![X: $i] : (tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (tptp_fun___ki_accessible_(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X)))))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0))))))))),
% 0.11/0.37 inference(bind,[status(th)],[])).
% 0.11/0.37 tff(25,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![X: $i] : (tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (tptp_fun___ki_accessible_(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X)))))) <=> ![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0))))))),
% 0.11/0.37 inference(quant_intro,[status(thm)],[24])).
% 0.11/0.37 tff(26,axiom,(![W: |'$ki_world'|] : (tptp_fun___ki_accessible_(|'$ki_local_world'|, W) => ![X: $i] : (tptp_fun___ki_exists_in_world__i_(W, X) => ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (tptp_fun___ki_accessible_(W, W0) => ((bomb(W0, X) & h(W0, D)) => defused(W0, X))))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ax3')).
% 0.11/0.37 tff(27,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0))))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.11/0.37 tff(28,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | ?[D: $i] : (tptp_fun___ki_exists_in_world__i_(W, D) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, D))) | (~tptp_fun___ki_accessible_(W, W0))))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[27, 23])).
% 0.11/0.37 tff(29,plain,(
% 0.11/0.37 ![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W)) & ![W0: |'$ki_world'|] : (defused(W0, X) | (~(bomb(W0, X) & h(W0, tptp_fun_D_3(X, W)))) | (~tptp_fun___ki_accessible_(W, W0))))))),
% 0.11/0.37 inference(skolemize,[status(sab)],[28])).
% 0.11/0.37 tff(30,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W)) & ![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~(bomb(W0, X) & h(W0, tptp_fun_D_3(X, W))))))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[29, 22])).
% 0.11/0.37 tff(31,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[30, 20])).
% 0.11/0.37 tff(32,plain,
% 0.11/0.37 (![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))),
% 0.11/0.37 inference(modus_ponens,[status(thm)],[31, 18])).
% 0.11/0.38 tff(33,plain,
% 0.11/0.38 (((~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))) | ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4)))))))))) <=> ((~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4)))))))))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(34,plain,
% 0.11/0.38 (((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))) <=> ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4)))))))))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(35,plain,
% 0.11/0.38 (((~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))) | ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W!4)))))))))) <=> ((~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))) | ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[34])).
% 0.11/0.38 tff(36,plain,
% 0.11/0.38 (((~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))) | ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W!4)))))))))) <=> ((~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4)))))))))),
% 0.11/0.38 inference(transitivity,[status(thm)],[35, 33])).
% 0.11/0.38 tff(37,plain,
% 0.11/0.38 ((~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))) | ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W!4)))))))))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(38,plain,
% 0.11/0.38 ((~![W: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(|'$ki_local_world'|, W)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W, tptp_fun_D_3(X, W))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W, W0)) | defused(W0, X) | (~bomb(W0, X)) | (~h(W0, tptp_fun_D_3(X, W)))))))))) | (~tptp_fun___ki_accessible_(|'$ki_local_world'|, W!4)) | ![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.11/0.38 tff(39,plain,
% 0.11/0.38 (![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[38, 32, 13])).
% 0.11/0.38 tff(40,plain,
% 0.11/0.38 (tptp_fun___ki_exists_in_world__i_(W!4, X!5)),
% 0.11/0.38 inference(and_elim,[status(thm)],[12])).
% 0.11/0.38 tff(41,plain,
% 0.11/0.38 (((~![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))) | ((~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))))))) <=> ((~![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))) | (~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))))))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(42,plain,
% 0.11/0.38 (((~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X!5) | (~bomb(W0, X!5)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X!5, W!4)))))))) <=> ((~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))))))),
% 0.11/0.38 inference(rewrite,[status(thm)],[])).
% 0.11/0.38 tff(43,plain,
% 0.11/0.38 (((~![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))) | ((~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X!5) | (~bomb(W0, X!5)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))))))) <=> ((~![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))) | ((~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4)))))))))),
% 0.11/0.38 inference(monotonicity,[status(thm)],[42])).
% 0.11/0.38 tff(44,plain,
% 0.11/0.38 (((~![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))) | ((~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X!5) | (~bomb(W0, X!5)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))))))) <=> ((~![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))) | (~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))))))),
% 0.11/0.38 inference(transitivity,[status(thm)],[43, 41])).
% 0.11/0.38 tff(45,plain,
% 0.11/0.38 ((~![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))) | ((~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X!5) | (~bomb(W0, X!5)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))))))),
% 0.11/0.38 inference(quant_inst,[status(thm)],[])).
% 0.11/0.38 tff(46,plain,
% 0.11/0.38 ((~![X: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, X)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X, W!4))) | (~![W0: |'$ki_world'|] : (defused(W0, X) | (~bomb(W0, X)) | (~tptp_fun___ki_accessible_(W!4, W0)) | (~h(W0, tptp_fun_D_3(X, W!4))))))))) | (~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4)))))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.11/0.38 tff(47,plain,
% 0.11/0.38 (~((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[46, 40, 39])).
% 0.11/0.38 tff(48,plain,
% 0.11/0.38 (((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4)))))) | tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))),
% 0.11/0.38 inference(tautology,[status(thm)],[])).
% 0.11/0.38 tff(49,plain,
% 0.11/0.38 (tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))),
% 0.11/0.38 inference(unit_resolution,[status(thm)],[48, 47])).
% 0.11/0.38 tff(50,plain,
% 0.11/0.38 (^[D: $i] : refl(((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D))))) <=> ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(51,plain,
% 0.11/0.38 (![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D))))) <=> ![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[50])).
% 0.11/0.38 tff(52,plain,
% 0.11/0.38 (^[D: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((bomb(W!4, X!5) & h(W!4, D)) <=> (~((~bomb(W!4, X!5)) | (~h(W!4, D))))), ((~(bomb(W!4, X!5) & h(W!4, D))) <=> (~(~((~bomb(W!4, X!5)) | (~h(W!4, D))))))), rewrite((~(~((~bomb(W!4, X!5)) | (~h(W!4, D))))) <=> ((~bomb(W!4, X!5)) | (~h(W!4, D)))), ((~(bomb(W!4, X!5) & h(W!4, D))) <=> ((~bomb(W!4, X!5)) | (~h(W!4, D))))), (((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)) <=> (((~bomb(W!4, X!5)) | (~h(W!4, D))) | defused(W!4, X!5)))), rewrite((((~bomb(W!4, X!5)) | (~h(W!4, D))) | defused(W!4, X!5)) <=> (defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))), (((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)) <=> (defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D))))), ((tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5))) <=> (tptp_fun___ki_exists_in_world__i_(W!4, D) & (defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))), rewrite((tptp_fun___ki_exists_in_world__i_(W!4, D) & (defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))) <=> (~((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D))))))), ((tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5))) <=> (~((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))))), ((~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)))) <=> (~(~((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D))))))))), rewrite((~(~((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D))))))) <=> ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))), ((~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)))) <=> ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))))),
% 0.11/0.38 inference(bind,[status(th)],[])).
% 0.11/0.38 tff(53,plain,
% 0.11/0.38 (![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5)))) <=> ![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))),
% 0.11/0.38 inference(quant_intro,[status(thm)],[52])).
% 0.11/0.38 tff(54,plain,
% 0.11/0.38 (![D: $i] : (~(tptp_fun___ki_exists_in_world__i_(W!4, D) & ((~(bomb(W!4, X!5) & h(W!4, D))) | defused(W!4, X!5))))),
% 0.11/0.38 inference(and_elim,[status(thm)],[12])).
% 0.11/0.38 tff(55,plain,
% 0.11/0.38 (![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))),
% 0.11/0.38 inference(modus_ponens,[status(thm)],[54, 53])).
% 0.11/0.38 tff(56,plain,
% 0.11/0.38 (![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[55, 51])).
% 0.11/0.39 tff(57,plain,
% 0.11/0.39 (((~![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))) | ((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))))))) <=> ((~![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))) | (~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))))))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(58,plain,
% 0.11/0.39 ((~![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))) | ((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))))))),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(59,plain,
% 0.11/0.39 ((~![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))) | (~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4)))))),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.11/0.39 tff(60,plain,
% 0.11/0.39 (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[59, 56, 49])).
% 0.11/0.39 tff(61,plain,
% 0.11/0.39 ((defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4)))) | h(W!4, tptp_fun_D_3(X!5, W!4))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(62,plain,
% 0.11/0.39 (h(W!4, tptp_fun_D_3(X!5, W!4))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[61, 60])).
% 0.11/0.39 tff(63,plain,
% 0.11/0.39 (((~tptp_fun___ki_exists_in_world__i_(W!4, tptp_fun_D_3(X!5, W!4))) | (~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4)))))) | ![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(64,plain,
% 0.11/0.39 (![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[63, 47])).
% 0.11/0.39 tff(65,plain,
% 0.11/0.39 (((~![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))) | ((~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, X!5)))))) <=> ((~![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))) | (~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, X!5)))))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(66,plain,
% 0.11/0.39 ((~![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))) | ((~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, X!5)))))),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(67,plain,
% 0.11/0.39 ((~![D: $i] : ((~tptp_fun___ki_exists_in_world__i_(W!4, D)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, D)))))) | (~tptp_fun___ki_exists_in_world__i_(W!4, X!5)) | (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, X!5))))),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.11/0.39 tff(68,plain,
% 0.11/0.39 (~(defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, X!5)))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[67, 40, 56])).
% 0.11/0.39 tff(69,plain,
% 0.11/0.39 ((defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, X!5))) | bomb(W!4, X!5)),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(70,plain,
% 0.11/0.39 (bomb(W!4, X!5)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[69, 68])).
% 0.11/0.39 tff(71,plain,
% 0.11/0.39 ((defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, X!5))) | (~defused(W!4, X!5))),
% 0.11/0.39 inference(tautology,[status(thm)],[])).
% 0.11/0.39 tff(72,plain,
% 0.11/0.39 (~defused(W!4, X!5)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[71, 68])).
% 0.11/0.39 tff(73,plain,
% 0.11/0.39 (((~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))) | (defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))) | (~tptp_fun___ki_accessible_(W!4, W!4)))) <=> ((~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))) | defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))) | (~tptp_fun___ki_accessible_(W!4, W!4)))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(74,plain,
% 0.11/0.39 (((~tptp_fun___ki_accessible_(W!4, W!4)) | defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4)))) <=> (defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))) | (~tptp_fun___ki_accessible_(W!4, W!4)))),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(75,plain,
% 0.11/0.39 (((~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))) | ((~tptp_fun___ki_accessible_(W!4, W!4)) | defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))))) <=> ((~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))) | (defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))) | (~tptp_fun___ki_accessible_(W!4, W!4))))),
% 0.11/0.39 inference(monotonicity,[status(thm)],[74])).
% 0.11/0.39 tff(76,plain,
% 0.11/0.39 (((~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))) | ((~tptp_fun___ki_accessible_(W!4, W!4)) | defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))))) <=> ((~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))) | defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))) | (~tptp_fun___ki_accessible_(W!4, W!4)))),
% 0.11/0.39 inference(transitivity,[status(thm)],[75, 73])).
% 0.11/0.39 tff(77,plain,
% 0.11/0.39 ((~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))) | ((~tptp_fun___ki_accessible_(W!4, W!4)) | defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))))),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(78,plain,
% 0.11/0.39 ((~![W0: |'$ki_world'|] : ((~tptp_fun___ki_accessible_(W!4, W0)) | defused(W0, X!5) | (~bomb(W0, X!5)) | (~h(W0, tptp_fun_D_3(X!5, W!4))))) | defused(W!4, X!5) | (~bomb(W!4, X!5)) | (~h(W!4, tptp_fun_D_3(X!5, W!4))) | (~tptp_fun___ki_accessible_(W!4, W!4))),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.11/0.39 tff(79,plain,
% 0.11/0.39 ((~h(W!4, tptp_fun_D_3(X!5, W!4))) | (~tptp_fun___ki_accessible_(W!4, W!4))),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[78, 72, 70, 64])).
% 0.11/0.39 tff(80,plain,
% 0.11/0.39 (~tptp_fun___ki_accessible_(W!4, W!4)),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[79, 62])).
% 0.11/0.39 tff(81,plain,
% 0.11/0.39 (^[W: |'$ki_world'|] : refl(tptp_fun___ki_accessible_(W, W) <=> tptp_fun___ki_accessible_(W, W))),
% 0.11/0.39 inference(bind,[status(th)],[])).
% 0.11/0.39 tff(82,plain,
% 0.11/0.39 (![W: |'$ki_world'|] : tptp_fun___ki_accessible_(W, W) <=> ![W: |'$ki_world'|] : tptp_fun___ki_accessible_(W, W)),
% 0.11/0.39 inference(quant_intro,[status(thm)],[81])).
% 0.11/0.39 tff(83,plain,
% 0.11/0.39 (![W: |'$ki_world'|] : tptp_fun___ki_accessible_(W, W) <=> ![W: |'$ki_world'|] : tptp_fun___ki_accessible_(W, W)),
% 0.11/0.39 inference(rewrite,[status(thm)],[])).
% 0.11/0.39 tff(84,axiom,(![W: |'$ki_world'|] : tptp_fun___ki_accessible_(W, W)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_reflexive')).
% 0.11/0.39 tff(85,plain,
% 0.11/0.39 (![W: |'$ki_world'|] : tptp_fun___ki_accessible_(W, W)),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.11/0.39 tff(86,plain,(
% 0.11/0.39 ![W: |'$ki_world'|] : tptp_fun___ki_accessible_(W, W)),
% 0.11/0.39 inference(skolemize,[status(sab)],[85])).
% 0.11/0.39 tff(87,plain,
% 0.11/0.39 (![W: |'$ki_world'|] : tptp_fun___ki_accessible_(W, W)),
% 0.11/0.39 inference(modus_ponens,[status(thm)],[86, 82])).
% 0.11/0.39 tff(88,plain,
% 0.11/0.39 ((~![W: |'$ki_world'|] : tptp_fun___ki_accessible_(W, W)) | tptp_fun___ki_accessible_(W!4, W!4)),
% 0.11/0.39 inference(quant_inst,[status(thm)],[])).
% 0.11/0.39 tff(89,plain,
% 0.11/0.39 ($false),
% 0.11/0.39 inference(unit_resolution,[status(thm)],[88, 87, 80])).
% 0.11/0.39 % SZS output end Proof
% 0.11/0.39 % E exiting
%------------------------------------------------------------------------------