TSTP Solution File: SYO893_11 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYO893_11 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n032.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 : Wed May 29 18:34:12 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SYO893_11 : TPTP v8.2.0. Released v8.2.0.
% 0.02/0.09 % Command : do_cvc5 %s %d
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Tue May 28 06:44:53 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.13/0.36 %----Proving TF0_NAR, FOF, or CNF
% 0.13/0.37 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.13/0.37 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.A8oEcQK9cn/cvc5---1.0.5_27391.smt2
% 0.13/0.37 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.A8oEcQK9cn/cvc5---1.0.5_27391.smt2
% 0.13/0.37 (assume a0 (forall ((W |tptp.'$ki_world'|) (V |tptp.'$ki_world'|)) (|tptp.'$ki_accessible'| W V)))
% 0.13/0.37 (assume a1 (not (= (not (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1)))))))) (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))))))))))
% 0.13/0.37 (assume a2 true)
% 0.13/0.37 (step t1 (cl (not (= (not (= (not (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1)))))))) (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))))))))) (not (= (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))))) (not (not (= (not (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1)))))))) (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1))))))))))) (not (= (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))))) :rule equiv_pos2)
% 0.13/0.37 (anchor :step t2 :args ((W |tptp.'$ki_world'|) (:= W W)))
% 0.13/0.37 (step t2.t1 (cl (= W W)) :rule refl)
% 0.13/0.37 (step t2.t2 (cl (= (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W))) :rule refl)
% 0.13/0.37 (anchor :step t2.t3 :args ((W0 |tptp.'$ki_world'|) (:= W0 W0)))
% 0.13/0.37 (step t2.t3.t1 (cl (= W0 W0)) :rule refl)
% 0.13/0.37 (step t2.t3.t2 (cl (= (|tptp.'$ki_accessible'| W W0) (|tptp.'$ki_accessible'| W W0))) :rule refl)
% 0.13/0.37 (step t2.t3.t3 (cl (= (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1))) (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))) :rule all_simplify)
% 0.13/0.37 (step t2.t3.t4 (cl (= (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1)))) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))) :rule cong :premises (t2.t3.t2 t2.t3.t3))
% 0.13/0.37 (step t2.t3 (cl (= (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1))))) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))) :rule bind)
% 0.13/0.37 (step t2.t4 (cl (= (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))) (not (forall ((W0 |tptp.'$ki_world'|)) (not (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) :rule all_simplify)
% 0.13/0.37 (step t2.t5 (cl (= (forall ((W0 |tptp.'$ki_world'|)) (not (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))) :rule all_simplify)
% 0.13/0.37 (step t2.t6 (cl (= (not (forall ((W0 |tptp.'$ki_world'|)) (not (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) :rule cong :premises (t2.t5))
% 0.13/0.37 (step t2.t7 (cl (= (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) :rule trans :premises (t2.t4 t2.t6))
% 0.13/0.37 (step t2.t8 (cl (= (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1))))) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) :rule trans :premises (t2.t3 t2.t7))
% 0.13/0.37 (step t2.t9 (cl (= (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1)))))) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) :rule cong :premises (t2.t2 t2.t8))
% 0.13/0.37 (step t2 (cl (= (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1))))))) (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule bind)
% 0.13/0.37 (step t3 (cl (= (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule all_simplify)
% 0.13/0.37 (step t4 (cl (= (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule trans :premises (t2 t3))
% 0.13/0.37 (step t5 (cl (= (not (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1)))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule cong :premises (t4))
% 0.13/0.37 (anchor :step t6 :args ((W |tptp.'$ki_world'|) (:= W W)))
% 0.13/0.37 (step t6.t1 (cl (= W W)) :rule refl)
% 0.13/0.37 (step t6.t2 (cl (= (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W))) :rule refl)
% 0.13/0.37 (anchor :step t6.t3 :args ((W0 |tptp.'$ki_world'|) (:= W0 W0)))
% 0.13/0.37 (step t6.t3.t1 (cl (= W0 W0)) :rule refl)
% 0.13/0.37 (step t6.t3.t2 (cl (= (|tptp.'$ki_accessible'| W W0) (|tptp.'$ki_accessible'| W W0))) :rule refl)
% 0.13/0.37 (step t6.t3.t3 (cl (= (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))) (not (forall ((W1 |tptp.'$ki_world'|)) (not (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))))))) :rule all_simplify)
% 0.13/0.37 (step t6.t3.t4 (cl (= (forall ((W1 |tptp.'$ki_world'|)) (not (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1))))) (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))) :rule all_simplify)
% 0.13/0.37 (step t6.t3.t5 (cl (= (not (forall ((W1 |tptp.'$ki_world'|)) (not (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))))) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))) :rule cong :premises (t6.t3.t4))
% 0.13/0.37 (step t6.t3.t6 (cl (= (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))) :rule trans :premises (t6.t3.t3 t6.t3.t5))
% 0.13/0.37 (step t6.t3.t7 (cl (= (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1))))) (=> (|tptp.'$ki_accessible'| W W0) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))) :rule cong :premises (t6.t3.t2 t6.t3.t6))
% 0.13/0.37 (step t6.t3 (cl (= (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))))) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))) :rule bind)
% 0.13/0.37 (step t6.t4 (cl (= (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))) :rule all_simplify)
% 0.13/0.37 (step t6.t5 (cl (= (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))))) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))) :rule trans :premises (t6.t3 t6.t4))
% 0.13/0.37 (step t6.t6 (cl (= (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1))))))) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) :rule cong :premises (t6.t2 t6.t5))
% 0.13/0.37 (step t6 (cl (= (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))))))) (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) :rule bind)
% 0.13/0.37 (step t7 (cl (= (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))) (not (forall ((W |tptp.'$ki_world'|)) (not (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule all_simplify)
% 0.13/0.37 (step t8 (cl (= (forall ((W |tptp.'$ki_world'|)) (not (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule all_simplify)
% 0.13/0.37 (step t9 (cl (= (not (forall ((W |tptp.'$ki_world'|)) (not (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule cong :premises (t8))
% 0.13/0.37 (step t10 (cl (= (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule trans :premises (t7 t9))
% 0.13/0.37 (step t11 (cl (= (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule trans :premises (t6 t10))
% 0.13/0.37 (step t12 (cl (= (= (not (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1)))))))) (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1))))))))) (= (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))))) :rule cong :premises (t5 t11))
% 0.13/0.37 (step t13 (cl (= (not (= (not (forall ((W |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (exists ((W0 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W W0) (forall ((W1 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W0 W1) (tptp.p W1)))))))) (exists ((W |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W) (forall ((W0 |tptp.'$ki_world'|)) (=> (|tptp.'$ki_accessible'| W W0) (exists ((W1 |tptp.'$ki_world'|)) (and (|tptp.'$ki_accessible'| W0 W1) (not (tptp.p W1)))))))))) (not (= (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))))) :rule cong :premises (t12))
% 0.13/0.37 (step t14 (cl (not (= (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))))) :rule resolution :premises (t1 t13 a1))
% 0.13/0.37 (step t15 (cl (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule not_equiv1 :premises (t14))
% 0.13/0.37 (step t16 (cl (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule hole :args ((forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (= W0 W0) (= W1 W1) (= W W)))
% 0.13/0.37 (step t17 (cl (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) :rule equiv1 :premises (t16))
% 0.13/0.37 (step t18 (cl (not (= (or (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) (or (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) (not (or (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))))) (or (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule equiv_pos2)
% 0.13/0.37 (step t19 (cl (= (= (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) true) (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule equiv_simplify)
% 0.13/0.37 (step t20 (cl (not (= (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) true)) (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule equiv1 :premises (t19))
% 0.13/0.37 (step t21 (cl (= (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))))) :rule all_simplify)
% 0.13/0.37 (step t22 (cl (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule refl)
% 0.13/0.37 (step t23 (cl (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule all_simplify)
% 0.13/0.37 (step t24 (cl (= (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule cong :premises (t22 t23))
% 0.13/0.37 (step t25 (cl (= (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) true)) :rule all_simplify)
% 0.13/0.37 (step t26 (cl (= (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) true)) :rule trans :premises (t24 t25))
% 0.13/0.37 (step t27 (cl (= (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) true)) :rule trans :premises (t21 t26))
% 0.13/0.37 (step t28 (cl (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule resolution :premises (t20 t27))
% 0.13/0.37 (step t29 (cl (= (= (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) true) (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule equiv_simplify)
% 0.13/0.37 (step t30 (cl (not (= (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) true)) (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule equiv1 :premises (t29))
% 0.13/0.37 (step t31 (cl (= (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))))) :rule all_simplify)
% 0.13/0.37 (step t32 (cl (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule refl)
% 0.13/0.37 (step t33 (cl (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule all_simplify)
% 0.13/0.37 (step t34 (cl (= (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule cong :premises (t32 t33))
% 0.13/0.37 (step t35 (cl (= (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) true)) :rule all_simplify)
% 0.13/0.37 (step t36 (cl (= (= (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) true)) :rule trans :premises (t34 t35))
% 0.13/0.37 (step t37 (cl (= (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) true)) :rule trans :premises (t31 t36))
% 0.13/0.37 (step t38 (cl (= (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule resolution :premises (t30 t37))
% 0.13/0.37 (step t39 (cl (= (or (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) (or (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule cong :premises (t28 t38))
% 0.13/0.37 (step t40 (cl (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) :rule not_equiv2 :premises (t14))
% 0.13/0.37 (step t41 (cl (or (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) (not (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))))) :rule or_neg)
% 0.13/0.37 (step t42 (cl (or (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) (not (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))))) :rule or_neg)
% 0.13/0.37 (step t43 (cl (or (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))))) (or (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))))) :rule resolution :premises (t40 t41 t42))
% 0.13/0.38 (step t44 (cl (or (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) (not (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))))) :rule contraction :premises (t43))
% 0.13/0.38 (step t45 (cl (or (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule resolution :premises (t18 t39 t44))
% 0.13/0.38 (step t46 (cl (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) :rule or :premises (t45))
% 0.13/0.38 (step t47 (cl (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (not (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))))) :rule equiv2 :premises (t16))
% 0.13/0.38 (step t48 (cl (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1))))))))) (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) :rule resolution :premises (t46 t47))
% 0.13/0.38 (step t49 (cl (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) :rule contraction :premises (t48))
% 0.13/0.38 (step t50 (cl (forall ((W |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| W)) (not (forall ((W0 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W W0)) (not (forall ((W1 |tptp.'$ki_world'|)) (or (not (|tptp.'$ki_accessible'| W0 W1)) (tptp.p W1)))))))))) :rule resolution :premises (t17 t49))
% 0.13/0.38 (step t51 (cl) :rule resolution :premises (t15 t50 t49))
% 0.13/0.38
% 0.13/0.38 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.A8oEcQK9cn/cvc5---1.0.5_27391.smt2
% 0.13/0.38 % cvc5---1.0.5 exiting
% 0.13/0.38 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------