%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL944_8 : TPTP v9.3.1. Released v8.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n005.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:13 AM UTC 2026 % Result : Theorem 126.61s 128.50s % Output : Proof 126.61s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL944_8 : TPTP v9.3.1. Released v8.2.0. % 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n005.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 20:08:05 UTC 2026 % 0.10/0.37 % CPUTime : % 0.20/0.53 %----Proving TF0_NAR, FOF, or CNF % 126.61/128.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 126.61/128.50 --- Run --no-e-matching --full-saturate-quant at 6... % 126.61/128.50 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 126.61/128.50 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 126.61/128.50 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 126.61/128.50 --- Run --trigger-sel=max --full-saturate-quant at 15... % 126.61/128.50 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 33... % 126.61/128.50 --- Run --multi-trigger-cache --full-saturate-quant at 15... % 126.61/128.50 --- Run --prenex-quant=none --full-saturate-quant at 30... % 126.61/128.50 % SZS status Theorem % 126.61/128.50 % SZS output start Proof % 126.61/128.50 ( % 126.61/128.50 (declare-sort |tptp.'$ki_world'| 0) % 126.61/128.50 (declare-sort $$unsorted 0) % 126.61/128.50 (declare-const tptp.op_equiv (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.op_implies_or (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.op_implies_and (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.op_and (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.op_or (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.r5 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.r4 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.r3 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.r2 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.r1 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.cn3 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.cn2 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.modus_tollens (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.substitution_of_equivalents (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.is_a_theorem (-> |tptp.'$ki_world'| $$unsorted Bool)) % 126.61/128.50 (declare-const tptp.equivalence_2 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.or (-> $$unsorted $$unsorted $$unsorted)) % 126.61/128.50 (declare-const tptp.kn1 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.implies (-> $$unsorted $$unsorted $$unsorted)) % 126.61/128.50 (declare-const tptp.equivalence_3 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.and (-> $$unsorted $$unsorted $$unsorted)) % 126.61/128.50 (declare-const tptp.kn3 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.equiv (-> $$unsorted $$unsorted $$unsorted)) % 126.61/128.50 (declare-const tptp.cn1 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const |tptp.'$ki_local_world'| |tptp.'$ki_world'|) % 126.61/128.50 (declare-const tptp.or_3 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.qmltpeq (-> |tptp.'$ki_world'| $$unsorted $$unsorted Bool)) % 126.61/128.50 (declare-const tptp.modus_ponens (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const |tptp.'$ki_accessible'| (-> |tptp.'$ki_world'| |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const |tptp.'$ki_exists_in_world_$i'| (-> |tptp.'$ki_world'| $$unsorted Bool)) % 126.61/128.50 (declare-const tptp.not (-> $$unsorted $$unsorted)) % 126.61/128.50 (declare-const tptp.kn2 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.implies_1 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.implies_2 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.implies_3 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.and_1 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.and_2 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.and_3 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.or_1 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.or_2 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (declare-const tptp.equivalence_1 (-> |tptp.'$ki_world'| Bool)) % 126.61/128.50 (define @t1 () (@var "W" |tptp.'$ki_world'|)) % 126.61/128.50 (define @t2 () (@list @t1)) % 126.61/128.50 (define @t3 () (@var "X" $$unsorted)) % 126.61/128.50 (define @t4 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t3)) % 126.61/128.50 (define @t5 () (@list @t3)) % 126.61/128.50 (define @t6 () (@var "W0" |tptp.'$ki_world'|)) % 126.61/128.50 (define @t7 () (|tptp.'$ki_accessible'| @t1 @t6)) % 126.61/128.50 (define @t8 () (@list @t6)) % 126.61/128.50 (define @t9 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t1)) % 126.61/128.50 (define @t10 () (@var "Y" $$unsorted)) % 126.61/128.50 (define @t11 () (@var "W2" |tptp.'$ki_world'|)) % 126.61/128.50 (define @t12 () (@var "W1" |tptp.'$ki_world'|)) % 126.61/128.50 (define @t13 () (|tptp.'$ki_accessible'| @t12 @t11)) % 126.61/128.50 (define @t14 () (@list @t11)) % 126.61/128.50 (define @t15 () (|tptp.'$ki_accessible'| @t6 @t12)) % 126.61/128.50 (define @t16 () (@list @t12)) % 126.61/128.50 (define @t17 () (|tptp.'$ki_exists_in_world_$i'| @t6 @t10)) % 126.61/128.50 (define @t18 () (@list @t10)) % 126.61/128.50 (define @t19 () (@var "Z" $$unsorted)) % 126.61/128.50 (define @t20 () (@var "W3" |tptp.'$ki_world'|)) % 126.61/128.50 (define @t21 () (|tptp.'$ki_accessible'| @t11 @t20)) % 126.61/128.50 (define @t22 () (@list @t20)) % 126.61/128.50 (define @t23 () (forall @t22 (=> @t21 (tptp.qmltpeq @t20 @t3 @t10)))) % 126.61/128.50 (define @t24 () (@list @t19)) % 126.61/128.50 (define @t25 () (@var "C" $$unsorted)) % 126.61/128.50 (define @t26 () (@var "B" $$unsorted)) % 126.61/128.50 (define @t27 () (@var "A" $$unsorted)) % 126.61/128.50 (define @t28 () (forall @t22 (=> @t21 (tptp.qmltpeq @t20 @t27 @t26)))) % 126.61/128.50 (define @t29 () (|tptp.'$ki_exists_in_world_$i'| @t12 @t25)) % 126.61/128.50 (define @t30 () (@list @t25)) % 126.61/128.50 (define @t31 () (|tptp.'$ki_exists_in_world_$i'| @t6 @t26)) % 126.61/128.50 (define @t32 () (@list @t26)) % 126.61/128.50 (define @t33 () (|tptp.'$ki_exists_in_world_$i'| @t1 @t27)) % 126.61/128.50 (define @t34 () (@list @t27)) % 126.61/128.50 (define @t35 () (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t27 @t26)))) % 126.61/128.50 (define @t36 () (forall @t8 (=> @t7 (tptp.modus_ponens @t6)))) % 126.61/128.50 (define @t37 () (tptp.implies @t3 @t10)) % 126.61/128.50 (define @t38 () (|tptp.'$ki_exists_in_world_$i'| @t12 @t10)) % 126.61/128.50 (define @t39 () (|tptp.'$ki_exists_in_world_$i'| @t6 @t3)) % 126.61/128.50 (define @t40 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (=> (and (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 @t3))) (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 @t37)))) (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 @t10))))))))))))))) % 126.61/128.50 (define @t41 () (forall @t8 (=> @t7 (tptp.substitution_of_equivalents @t6)))) % 126.61/128.50 (define @t42 () (tptp.equiv @t3 @t10)) % 126.61/128.50 (define @t43 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (=> (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 @t42))) @t23)))))))))))) % 126.61/128.50 (define @t44 () (forall @t8 (=> @t7 (tptp.modus_tollens @t6)))) % 126.61/128.50 (define @t45 () (tptp.not @t3)) % 126.61/128.50 (define @t46 () (tptp.not @t10)) % 126.61/128.50 (define @t47 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies (tptp.implies @t46 @t45) @t37))))))))))))) % 126.61/128.50 (define @t48 () (forall @t8 (=> @t7 (tptp.implies_1 @t6)))) % 126.61/128.50 (define @t49 () (tptp.implies @t10 @t3)) % 126.61/128.50 (define @t50 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t3 @t49))))))))))))) % 126.61/128.50 (define @t51 () (forall @t8 (=> @t7 (tptp.implies_2 @t6)))) % 126.61/128.50 (define @t52 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies (tptp.implies @t3 @t37) @t37))))))))))))) % 126.61/128.50 (define @t53 () (forall @t8 (=> @t7 (tptp.implies_3 @t6)))) % 126.61/128.50 (define @t54 () (tptp.implies @t3 @t19)) % 126.61/128.50 (define @t55 () (tptp.implies @t10 @t19)) % 126.61/128.50 (define @t56 () (|tptp.'$ki_exists_in_world_$i'| @t11 @t19)) % 126.61/128.50 (define @t57 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (forall @t24 (=> @t56 (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 (tptp.implies @t37 (tptp.implies @t55 @t54)))))))))))))))))) % 126.61/128.50 (define @t58 () (forall @t8 (=> @t7 (tptp.and_1 @t6)))) % 126.61/128.50 (define @t59 () (tptp.and @t3 @t10)) % 126.61/128.50 (define @t60 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t59 @t3))))))))))))) % 126.61/128.50 (define @t61 () (forall @t8 (=> @t7 (tptp.and_2 @t6)))) % 126.61/128.50 (define @t62 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t59 @t10))))))))))))) % 126.61/128.50 (define @t63 () (forall @t8 (=> @t7 (tptp.and_3 @t6)))) % 126.61/128.50 (define @t64 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t3 (tptp.implies @t10 @t59)))))))))))))) % 126.61/128.50 (define @t65 () (forall @t8 (=> @t7 (tptp.or_1 @t6)))) % 126.61/128.50 (define @t66 () (tptp.or @t3 @t10)) % 126.61/128.50 (define @t67 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t3 @t66))))))))))))) % 126.61/128.50 (define @t68 () (tptp.or_2 @t6)) % 126.61/128.50 (define @t69 () (forall @t8 (=> @t7 @t68))) % 126.61/128.50 (define @t70 () (tptp.is_a_theorem @t11 (tptp.implies @t10 @t66))) % 126.61/128.50 (define @t71 () (forall @t14 (=> @t13 @t70))) % 126.61/128.50 (define @t72 () (=> @t38 @t71)) % 126.61/128.50 (define @t73 () (forall @t18 @t72)) % 126.61/128.50 (define @t74 () (=> @t15 @t73)) % 126.61/128.50 (define @t75 () (forall @t16 @t74)) % 126.61/128.50 (define @t76 () (=> @t39 @t75)) % 126.61/128.50 (define @t77 () (forall @t5 @t76)) % 126.61/128.50 (define @t78 () (=> @t7 @t77)) % 126.61/128.50 (define @t79 () (forall @t8 @t78)) % 126.61/128.50 (define @t80 () (=> @t69 @t79)) % 126.61/128.50 (define @t81 () (=> @t9 @t80)) % 126.61/128.50 (define @t82 () (forall @t2 @t81)) % 126.61/128.50 (define @t83 () (forall @t8 (=> @t7 (tptp.or_3 @t6)))) % 126.61/128.50 (define @t84 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (forall @t24 (=> @t56 (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 (tptp.implies @t54 (tptp.implies @t55 (tptp.implies @t66 @t19))))))))))))))))))) % 126.61/128.50 (define @t85 () (forall @t8 (=> @t7 (tptp.equivalence_1 @t6)))) % 126.61/128.50 (define @t86 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t42 @t37))))))))))))) % 126.61/128.50 (define @t87 () (forall @t8 (=> @t7 (tptp.equivalence_2 @t6)))) % 126.61/128.50 (define @t88 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t42 @t49))))))))))))) % 126.61/128.50 (define @t89 () (forall @t8 (=> @t7 (tptp.equivalence_3 @t6)))) % 126.61/128.50 (define @t90 () (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t37 (tptp.implies @t49 @t42)))))))))))))) % 126.61/128.50 (define @t91 () (forall @t8 (=> @t7 (tptp.kn1 @t6)))) % 126.61/128.50 (define @t92 () (@var "P" $$unsorted)) % 126.61/128.50 (define @t93 () (|tptp.'$ki_exists_in_world_$i'| @t6 @t92)) % 126.61/128.50 (define @t94 () (@list @t92)) % 126.61/128.50 (define @t95 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (tptp.is_a_theorem @t12 (tptp.implies @t92 (tptp.and @t92 @t92)))))))))) % 126.61/128.50 (define @t96 () (forall @t8 (=> @t7 (tptp.kn2 @t6)))) % 126.61/128.50 (define @t97 () (@var "Q" $$unsorted)) % 126.61/128.50 (define @t98 () (|tptp.'$ki_exists_in_world_$i'| @t12 @t97)) % 126.61/128.50 (define @t99 () (@list @t97)) % 126.61/128.50 (define @t100 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (forall @t99 (=> @t98 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies (tptp.and @t92 @t97) @t92))))))))))))) % 126.61/128.50 (define @t101 () (forall @t8 (=> @t7 (tptp.kn3 @t6)))) % 126.61/128.50 (define @t102 () (@var "R" $$unsorted)) % 126.61/128.50 (define @t103 () (tptp.implies @t92 @t97)) % 126.61/128.50 (define @t104 () (|tptp.'$ki_exists_in_world_$i'| @t11 @t102)) % 126.61/128.50 (define @t105 () (@list @t102)) % 126.61/128.50 (define @t106 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (forall @t99 (=> @t98 (forall @t14 (=> @t13 (forall @t105 (=> @t104 (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 (tptp.implies @t103 (tptp.implies (tptp.not (tptp.and @t97 @t102)) (tptp.not (tptp.and @t102 @t92)))))))))))))))))))) % 126.61/128.50 (define @t107 () (forall @t8 (=> @t7 (tptp.cn1 @t6)))) % 126.61/128.50 (define @t108 () (tptp.implies @t97 @t102)) % 126.61/128.50 (define @t109 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (forall @t99 (=> @t98 (forall @t14 (=> @t13 (forall @t105 (=> @t104 (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 (tptp.implies @t103 (tptp.implies @t108 (tptp.implies @t92 @t102))))))))))))))))))) % 126.61/128.50 (define @t110 () (forall @t8 (=> @t7 (tptp.cn2 @t6)))) % 126.61/128.50 (define @t111 () (tptp.not @t92)) % 126.61/128.50 (define @t112 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (forall @t99 (=> @t98 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t92 (tptp.implies @t111 @t97)))))))))))))) % 126.61/128.50 (define @t113 () (forall @t8 (=> @t7 (tptp.cn3 @t6)))) % 126.61/128.50 (define @t114 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (tptp.is_a_theorem @t12 (tptp.implies (tptp.implies @t111 @t92) @t92))))))))) % 126.61/128.50 (define @t115 () (forall @t8 (=> @t7 (tptp.r1 @t6)))) % 126.61/128.50 (define @t116 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (tptp.is_a_theorem @t12 (tptp.implies (tptp.or @t92 @t92) @t92))))))))) % 126.61/128.50 (define @t117 () (tptp.r2 @t6)) % 126.61/128.50 (define @t118 () (forall @t8 (=> @t7 @t117))) % 126.61/128.50 (define @t119 () (tptp.or @t92 @t97)) % 126.61/128.50 (define @t120 () (tptp.is_a_theorem @t11 (tptp.implies @t97 @t119))) % 126.61/128.50 (define @t121 () (forall @t14 (=> @t13 @t120))) % 126.61/128.50 (define @t122 () (=> @t98 @t121)) % 126.61/128.50 (define @t123 () (forall @t99 @t122)) % 126.61/128.50 (define @t124 () (=> @t15 @t123)) % 126.61/128.50 (define @t125 () (forall @t16 @t124)) % 126.61/128.50 (define @t126 () (=> @t93 @t125)) % 126.61/128.50 (define @t127 () (forall @t94 @t126)) % 126.61/128.50 (define @t128 () (=> @t7 @t127)) % 126.61/128.50 (define @t129 () (forall @t8 @t128)) % 126.61/128.50 (define @t130 () (=> @t129 @t118)) % 126.61/128.50 (define @t131 () (=> @t9 @t130)) % 126.61/128.50 (define @t132 () (forall @t2 @t131)) % 126.61/128.50 (define @t133 () (forall @t8 (=> @t7 (tptp.r3 @t6)))) % 126.61/128.50 (define @t134 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (forall @t99 (=> @t98 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 (tptp.implies @t119 (tptp.or @t97 @t92)))))))))))))) % 126.61/128.50 (define @t135 () (forall @t8 (=> @t7 (tptp.r4 @t6)))) % 126.61/128.50 (define @t136 () (tptp.or @t92 @t102)) % 126.61/128.50 (define @t137 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (forall @t99 (=> @t98 (forall @t14 (=> @t13 (forall @t105 (=> @t104 (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 (tptp.implies (tptp.or @t92 (tptp.or @t97 @t102)) (tptp.or @t97 @t136)))))))))))))))))) % 126.61/128.50 (define @t138 () (forall @t8 (=> @t7 (tptp.r5 @t6)))) % 126.61/128.50 (define @t139 () (forall @t8 (=> @t7 (forall @t94 (=> @t93 (forall @t16 (=> @t15 (forall @t99 (=> @t98 (forall @t14 (=> @t13 (forall @t105 (=> @t104 (forall @t22 (=> @t21 (tptp.is_a_theorem @t20 (tptp.implies @t108 (tptp.implies @t119 @t136)))))))))))))))))) % 126.61/128.50 (define @t140 () (tptp.or_2 @t1)) % 126.61/128.50 (define @t141 () (forall @t2 (=> @t9 @t140))) % 126.61/128.50 (define @t142 () (tptp.r2 @t1)) % 126.61/128.50 (define @t143 () (forall @t2 (=> @t9 @t142))) % 126.61/128.50 (define @t144 () (not @t143)) % 126.61/128.50 (define @t145 () (not @t13)) % 126.61/128.50 (define @t146 () (forall @t14 (or @t145 @t70))) % 126.61/128.50 (define @t147 () (forall @t18 (or (not @t38) @t146))) % 126.61/128.50 (define @t148 () (not @t15)) % 126.61/128.50 (define @t149 () (forall @t16 (or @t148 @t147))) % 126.61/128.50 (define @t150 () (forall @t5 (or (not @t39) @t149))) % 126.61/128.50 (define @t151 () (not @t7)) % 126.61/128.50 (define @t152 () (forall @t8 (or @t151 @t150))) % 126.61/128.50 (define @t153 () (forall @t8 (or @t151 @t68))) % 126.61/128.50 (define @t154 () (not @t153)) % 126.61/128.50 (define @t155 () (not @t9)) % 126.61/128.50 (define @t156 () (=> @t153 @t152)) % 126.61/128.50 (define @t157 () (@list |tptp.'$ki_local_world'|)) % 126.61/128.50 (define @t158 () (forall @t2 (or @t155 @t140))) % 126.61/128.50 (define @t159 () (@list @t1)) % 126.61/128.50 (define @t160 () (@list @t6)) % 126.61/128.50 (define @t161 () (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t6))) % 126.61/128.50 (define @t162 () (forall @t8 (or @t161 @t68))) % 126.61/128.50 (define @t163 () (forall @t8 (or @t161 @t150))) % 126.61/128.50 (define @t164 () (not @t162)) % 126.61/128.50 (define @t165 () (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| |tptp.'$ki_local_world'|)) % 126.61/128.50 (define @t166 () (not @t165)) % 126.61/128.50 (define @t167 () (or @t166 @t164 @t163)) % 126.61/128.50 (define @t168 () (forall @t8 (or @t151 @t117))) % 126.61/128.50 (define @t169 () (forall @t14 (or @t145 @t120))) % 126.61/128.50 (define @t170 () (forall @t99 (or (not @t98) @t169))) % 126.61/128.50 (define @t171 () (forall @t16 (or @t148 @t170))) % 126.61/128.50 (define @t172 () (forall @t94 (or (not @t93) @t171))) % 126.61/128.50 (define @t173 () (forall @t8 (or @t151 @t172))) % 126.61/128.50 (define @t174 () (not @t173)) % 126.61/128.50 (define @t175 () (=> @t173 @t168)) % 126.61/128.50 (define @t176 () (forall @t2 (or @t155 @t142))) % 126.61/128.50 (define @t177 () (forall @t8 (or @t161 @t117))) % 126.61/128.50 (define @t178 () (forall @t8 (or @t161 @t172))) % 126.61/128.50 (define @t179 () (not @t178)) % 126.61/128.50 (define @t180 () (or @t166 @t179 @t177)) % 126.61/128.50 (define @t181 () (@var "BOUND_VARIABLE_24633" $$unsorted)) % 126.61/128.50 (define @t182 () (@var "BOUND_VARIABLE_24631" $$unsorted)) % 126.61/128.50 (define @t183 () (@var "BOUND_VARIABLE_24632" |tptp.'$ki_world'|)) % 126.61/128.50 (define @t184 () (@var "BOUND_VARIABLE_24630" |tptp.'$ki_world'|)) % 126.61/128.50 (define @t185 () (@var "BOUND_VARIABLE_24634" |tptp.'$ki_world'|)) % 126.61/128.50 (define @t186 () (@list @t184 @t182 @t183 @t181 @t185)) % 126.61/128.50 (assume @p1 (forall @t2 (|tptp.'$ki_accessible'| @t1 @t1))) % 126.61/128.50 (assume @p2 (forall @t2 (exists @t5 @t4))) % 126.61/128.50 (assume @p3 (forall @t2 (=> @t9 (forall @t5 (=> @t4 (forall @t8 (=> @t7 (tptp.qmltpeq @t6 @t3 @t3)))))))) % 126.61/128.50 (assume @p4 (forall @t2 (=> @t9 (forall @t5 (=> @t4 (forall @t8 (=> @t7 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (=> (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t3 @t10))) (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t10 @t3))))))))))))))) % 126.61/128.50 (assume @p5 (forall @t2 (=> @t9 (forall @t5 (=> @t4 (forall @t8 (=> @t7 (forall @t18 (=> @t17 (forall @t16 (=> @t15 (forall @t24 (=> (|tptp.'$ki_exists_in_world_$i'| @t12 @t19) (forall @t14 (=> @t13 (=> (and @t23 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 @t10 @t19)))) (forall @t22 (=> @t21 (tptp.qmltpeq @t20 @t3 @t19))))))))))))))))))) % 126.61/128.50 (assume @p6 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (forall @t30 (=> @t29 (forall @t14 (=> @t13 (=> @t28 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.and @t27 @t25) (tptp.and @t26 @t25)))))))))))))))))))) % 126.61/128.50 (assume @p7 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (forall @t30 (=> @t29 (forall @t14 (=> @t13 (=> @t28 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.and @t25 @t27) (tptp.and @t25 @t26)))))))))))))))))))) % 126.61/128.50 (assume @p8 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (forall @t30 (=> @t29 (forall @t14 (=> @t13 (=> @t28 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.equiv @t27 @t25) (tptp.equiv @t26 @t25)))))))))))))))))))) % 126.61/128.50 (assume @p9 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (forall @t30 (=> @t29 (forall @t14 (=> @t13 (=> @t28 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.equiv @t25 @t27) (tptp.equiv @t25 @t26)))))))))))))))))))) % 126.61/128.50 (assume @p10 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (forall @t30 (=> @t29 (forall @t14 (=> @t13 (=> @t28 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.implies @t27 @t25) (tptp.implies @t26 @t25)))))))))))))))))))) % 126.61/128.50 (assume @p11 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (forall @t30 (=> @t29 (forall @t14 (=> @t13 (=> @t28 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.implies @t25 @t27) (tptp.implies @t25 @t26)))))))))))))))))))) % 126.61/128.50 (assume @p12 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (=> @t35 (forall @t14 (=> @t13 (tptp.qmltpeq @t11 (tptp.not @t27) (tptp.not @t26)))))))))))))))) % 126.61/128.50 (assume @p13 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (forall @t30 (=> @t29 (forall @t14 (=> @t13 (=> @t28 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.or @t27 @t25) (tptp.or @t26 @t25)))))))))))))))))))) % 126.61/128.50 (assume @p14 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (forall @t30 (=> @t29 (forall @t14 (=> @t13 (=> @t28 (forall @t22 (=> @t21 (tptp.qmltpeq @t20 (tptp.or @t25 @t27) (tptp.or @t25 @t26)))))))))))))))))))) % 126.61/128.50 (assume @p15 (forall @t2 (=> @t9 (forall @t34 (=> @t33 (forall @t8 (=> @t7 (forall @t32 (=> @t31 (forall @t16 (=> @t15 (=> (and @t35 (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 @t27)))) (forall @t14 (=> @t13 (tptp.is_a_theorem @t11 @t26))))))))))))))) % 126.61/128.50 (assume @p16 (and (forall @t2 (=> @t9 (=> @t36 @t40))) (forall @t2 (=> @t9 (=> @t40 @t36))))) % 126.61/128.50 (assume @p17 (and (forall @t2 (=> @t9 (=> @t41 @t43))) (forall @t2 (=> @t9 (=> @t43 @t41))))) % 126.61/128.50 (assume @p18 (and (forall @t2 (=> @t9 (=> @t44 @t47))) (forall @t2 (=> @t9 (=> @t47 @t44))))) % 126.61/128.50 (assume @p19 (and (forall @t2 (=> @t9 (=> @t48 @t50))) (forall @t2 (=> @t9 (=> @t50 @t48))))) % 126.61/128.50 (assume @p20 (and (forall @t2 (=> @t9 (=> @t51 @t52))) (forall @t2 (=> @t9 (=> @t52 @t51))))) % 126.61/128.50 (assume @p21 (and (forall @t2 (=> @t9 (=> @t53 @t57))) (forall @t2 (=> @t9 (=> @t57 @t53))))) % 126.61/128.50 (assume @p22 (and (forall @t2 (=> @t9 (=> @t58 @t60))) (forall @t2 (=> @t9 (=> @t60 @t58))))) % 126.61/128.50 (assume @p23 (and (forall @t2 (=> @t9 (=> @t61 @t62))) (forall @t2 (=> @t9 (=> @t62 @t61))))) % 126.61/128.50 (assume @p24 (and (forall @t2 (=> @t9 (=> @t63 @t64))) (forall @t2 (=> @t9 (=> @t64 @t63))))) % 126.61/128.50 (assume @p25 (and (forall @t2 (=> @t9 (=> @t65 @t67))) (forall @t2 (=> @t9 (=> @t67 @t65))))) % 126.61/128.50 (assume @p26 (and @t82 (forall @t2 (=> @t9 (=> @t79 @t69))))) % 126.61/128.50 (assume @p27 (and (forall @t2 (=> @t9 (=> @t83 @t84))) (forall @t2 (=> @t9 (=> @t84 @t83))))) % 126.61/128.50 (assume @p28 (and (forall @t2 (=> @t9 (=> @t85 @t86))) (forall @t2 (=> @t9 (=> @t86 @t85))))) % 126.61/128.50 (assume @p29 (and (forall @t2 (=> @t9 (=> @t87 @t88))) (forall @t2 (=> @t9 (=> @t88 @t87))))) % 126.61/128.50 (assume @p30 (and (forall @t2 (=> @t9 (=> @t89 @t90))) (forall @t2 (=> @t9 (=> @t90 @t89))))) % 126.61/128.50 (assume @p31 (and (forall @t2 (=> @t9 (=> @t91 @t95))) (forall @t2 (=> @t9 (=> @t95 @t91))))) % 126.61/128.50 (assume @p32 (and (forall @t2 (=> @t9 (=> @t96 @t100))) (forall @t2 (=> @t9 (=> @t100 @t96))))) % 126.61/128.50 (assume @p33 (and (forall @t2 (=> @t9 (=> @t101 @t106))) (forall @t2 (=> @t9 (=> @t106 @t101))))) % 126.61/128.50 (assume @p34 (and (forall @t2 (=> @t9 (=> @t107 @t109))) (forall @t2 (=> @t9 (=> @t109 @t107))))) % 126.61/128.50 (assume @p35 (and (forall @t2 (=> @t9 (=> @t110 @t112))) (forall @t2 (=> @t9 (=> @t112 @t110))))) % 126.61/128.50 (assume @p36 (and (forall @t2 (=> @t9 (=> @t113 @t114))) (forall @t2 (=> @t9 (=> @t114 @t113))))) % 126.61/128.50 (assume @p37 (and (forall @t2 (=> @t9 (=> @t115 @t116))) (forall @t2 (=> @t9 (=> @t116 @t115))))) % 126.61/128.50 (assume @p38 (and (forall @t2 (=> @t9 (=> @t118 @t129))) @t132)) % 126.61/128.50 (assume @p39 (and (forall @t2 (=> @t9 (=> @t133 @t134))) (forall @t2 (=> @t9 (=> @t134 @t133))))) % 126.61/128.50 (assume @p40 (and (forall @t2 (=> @t9 (=> @t135 @t137))) (forall @t2 (=> @t9 (=> @t137 @t135))))) % 126.61/128.50 (assume @p41 (and (forall @t2 (=> @t9 (=> @t138 @t139))) (forall @t2 (=> @t9 (=> @t139 @t138))))) % 126.61/128.50 (assume @p42 (forall @t2 (=> @t9 (=> (forall @t8 (=> @t7 (tptp.op_or @t6))) (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t66 (tptp.not (tptp.and @t45 @t46))))))))))))))))) % 126.61/128.50 (assume @p43 (forall @t2 (=> @t9 (=> (forall @t8 (=> @t7 (tptp.op_and @t6))) (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t59 (tptp.not (tptp.or @t45 @t46))))))))))))))))) % 126.61/128.50 (assume @p44 (forall @t2 (=> @t9 (=> (forall @t8 (=> @t7 (tptp.op_implies_and @t6))) (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t37 (tptp.not (tptp.and @t3 @t46))))))))))))))))) % 126.61/128.50 (assume @p45 (forall @t2 (=> @t9 (=> (forall @t8 (=> @t7 (tptp.op_implies_or @t6))) (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t37 (tptp.or @t45 @t10)))))))))))))))) % 126.61/128.50 (assume @p46 (forall @t2 (=> @t9 (=> (forall @t8 (=> @t7 (tptp.op_equiv @t6))) (forall @t8 (=> @t7 (forall @t5 (=> @t39 (forall @t16 (=> @t15 (forall @t18 (=> @t38 (forall @t14 (=> @t13 (tptp.qmltpeq @t11 @t42 (tptp.and @t37 @t49)))))))))))))))) % 126.61/128.50 (assume @p47 (forall @t2 (=> @t9 (tptp.op_or @t1)))) % 126.61/128.50 (assume @p48 (forall @t2 (=> @t9 (tptp.op_implies_and @t1)))) % 126.61/128.50 (assume @p49 (forall @t2 (=> @t9 (tptp.op_equiv @t1)))) % 126.61/128.50 (assume @p50 (forall @t2 (=> @t9 (tptp.modus_ponens @t1)))) % 126.61/128.50 (assume @p51 (forall @t2 (=> @t9 (tptp.modus_tollens @t1)))) % 126.61/128.50 (assume @p52 (forall @t2 (=> @t9 (tptp.implies_1 @t1)))) % 126.61/128.50 (assume @p53 (forall @t2 (=> @t9 (tptp.implies_2 @t1)))) % 126.61/128.50 (assume @p54 (forall @t2 (=> @t9 (tptp.implies_3 @t1)))) % 126.61/128.50 (assume @p55 (forall @t2 (=> @t9 (tptp.and_1 @t1)))) % 126.61/128.50 (assume @p56 (forall @t2 (=> @t9 (tptp.and_2 @t1)))) % 126.61/128.50 (assume @p57 (forall @t2 (=> @t9 (tptp.and_3 @t1)))) % 126.61/128.50 (assume @p58 (forall @t2 (=> @t9 (tptp.or_1 @t1)))) % 126.61/128.50 (assume @p59 @t141) % 126.61/128.50 (assume @p60 (forall @t2 (=> @t9 (tptp.or_3 @t1)))) % 126.61/128.50 (assume @p61 (forall @t2 (=> @t9 (tptp.equivalence_1 @t1)))) % 126.61/128.50 (assume @p62 (forall @t2 (=> @t9 (tptp.equivalence_2 @t1)))) % 126.61/128.50 (assume @p63 (forall @t2 (=> @t9 (tptp.equivalence_3 @t1)))) % 126.61/128.50 (assume @p64 (forall @t2 (=> @t9 (tptp.substitution_of_equivalents @t1)))) % 126.61/128.50 (assume @p65 (forall @t2 (=> @t9 (tptp.op_implies_or @t1)))) % 126.61/128.50 (assume @p66 (forall @t2 (=> @t9 (tptp.op_and @t1)))) % 126.61/128.50 (assume @p67 @t144) % 126.61/128.50 (assume @p68 true) % 126.61/128.50 (step @p69 :rule aci_norm :args ((= (or @t155 (or @t154 @t152)) (or @t155 @t154 @t152)))) % 126.61/128.50 (step @p70 :rule bool-impl-elim :args (@t153 @t152)) % 126.61/128.50 (step @p71 :rule refl :args (@t155)) % 126.61/128.50 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t155 @t156))) % 126.61/128.50 (step @p73 :rule trans :premises (@p72 @p69)) % 126.61/128.50 (step @p74 :rule bool-impl-elim :args (@t9 @t156)) % 126.61/128.50 (step @p75 :rule trans :premises (@p74 @p73)) % 126.61/128.50 (step @p76 :rule cong :premises (@p75) :args ((forall @t2 (=> @t9 @t156)))) % 126.61/128.50 (step @p77 :rule bool-impl-elim :args (@t7 @t150)) % 126.61/128.50 (step @p78 :rule cong :premises (@p77) :args ((forall @t8 (=> @t7 @t150)))) % 126.61/128.50 (step @p79 :rule bool-impl-elim :args (@t39 @t149)) % 126.61/128.50 (step @p80 :rule cong :premises (@p79) :args ((forall @t5 (=> @t39 @t149)))) % 126.61/128.50 (step @p81 :rule bool-impl-elim :args (@t15 @t147)) % 126.61/128.50 (step @p82 :rule cong :premises (@p81) :args ((forall @t16 (=> @t15 @t147)))) % 126.61/128.50 (step @p83 :rule bool-impl-elim :args (@t38 @t146)) % 126.61/128.50 (step @p84 :rule cong :premises (@p83) :args ((forall @t18 (=> @t38 @t146)))) % 126.61/128.50 (step @p85 :rule bool-impl-elim :args (@t13 @t70)) % 126.61/128.50 (step @p86 :rule cong :premises (@p85) :args (@t71)) % 126.61/128.50 (step @p87 :rule refl :args (@t38)) % 126.61/128.50 (step @p88 :rule cong :premises (@p87 @p86) :args (@t72)) % 126.61/128.50 (step @p89 :rule cong :premises (@p88) :args (@t73)) % 126.61/128.50 (step @p90 :rule trans :premises (@p89 @p84)) % 126.61/128.50 (step @p91 :rule refl :args (@t15)) % 126.61/128.50 (step @p92 :rule cong :premises (@p91 @p90) :args (@t74)) % 126.61/128.50 (step @p93 :rule cong :premises (@p92) :args (@t75)) % 126.61/128.50 (step @p94 :rule trans :premises (@p93 @p82)) % 126.61/128.50 (step @p95 :rule refl :args (@t39)) % 126.61/128.50 (step @p96 :rule cong :premises (@p95 @p94) :args (@t76)) % 126.61/128.50 (step @p97 :rule cong :premises (@p96) :args (@t77)) % 126.61/128.50 (step @p98 :rule trans :premises (@p97 @p80)) % 126.61/128.50 (step @p99 :rule refl :args (@t7)) % 126.61/128.50 (step @p100 :rule cong :premises (@p99 @p98) :args (@t78)) % 126.61/128.50 (step @p101 :rule cong :premises (@p100) :args (@t79)) % 126.61/128.50 (step @p102 :rule trans :premises (@p101 @p78)) % 126.61/128.50 (step @p103 :rule bool-impl-elim :args (@t7 @t68)) % 126.61/128.50 (step @p104 :rule cong :premises (@p103) :args (@t69)) % 126.61/128.50 (step @p105 :rule cong :premises (@p104 @p102) :args (@t80)) % 126.61/128.50 (step @p106 :rule refl :args (@t9)) % 126.61/128.50 (step @p107 :rule cong :premises (@p106 @p105) :args (@t81)) % 126.61/128.50 (step @p108 :rule cong :premises (@p107) :args (@t82)) % 126.61/128.50 (step @p109 :rule trans :premises (@p108 @p76)) % 126.61/128.50 (step @p110 :rule and_elim :premises (@p26) :args (0)) % 126.61/128.50 (step @p111 :rule eq_resolve :premises (@p110 @p109)) % 126.61/128.50 (step @p112 :rule instantiate :premises (@p111) :args (@t157)) % 126.61/128.50 (step @p113 :rule bool-impl-elim :args (@t9 @t140)) % 126.61/128.50 (step @p114 :rule cong :premises (@p113) :args (@t141)) % 126.61/128.50 (step @p115 :rule eq_resolve :premises (@p59 @p114)) % 126.61/128.50 (step @p116 :rule alpha_equiv :args (@t158 @t159 @t160)) % 126.61/128.50 (step @p117 :rule equiv_elim1 :premises (@p116)) % 126.61/128.50 (step @p118 :rule chain_m_resolution :premises (@p117 @p115) :args (@t162 (@list false) (@list @t158))) % 126.61/128.50 (step @p119 :rule instantiate :premises (@p1) :args (@t157)) % 126.61/128.50 (step @p120 :rule cnf_or_pos :args (@t167)) % 126.61/128.50 (step @p121 :rule reordering :premises (@p120) :args ((or @t166 @t164 @t163 (not @t167)))) % 126.61/128.50 (step @p122 :rule chain_m_resolution :premises (@p121 @p119 @p118 @p112) :args (@t163 (@list false false false) (@list @t165 @t162 @t167))) % 126.61/128.50 (step @p123 :rule aci_norm :args ((= (or @t155 (or @t174 @t168)) (or @t155 @t174 @t168)))) % 126.61/128.50 (step @p124 :rule bool-impl-elim :args (@t173 @t168)) % 126.61/128.50 (step @p125 :rule nary_cong :premises (@p71 @p124) :args ((or @t155 @t175))) % 126.61/128.50 (step @p126 :rule trans :premises (@p125 @p123)) % 126.61/128.50 (step @p127 :rule bool-impl-elim :args (@t9 @t175)) % 126.61/128.50 (step @p128 :rule trans :premises (@p127 @p126)) % 126.61/128.50 (step @p129 :rule cong :premises (@p128) :args ((forall @t2 (=> @t9 @t175)))) % 126.61/128.50 (step @p130 :rule bool-impl-elim :args (@t7 @t117)) % 126.61/128.50 (step @p131 :rule cong :premises (@p130) :args (@t118)) % 126.61/128.50 (step @p132 :rule bool-impl-elim :args (@t7 @t172)) % 126.61/128.50 (step @p133 :rule cong :premises (@p132) :args ((forall @t8 (=> @t7 @t172)))) % 126.61/128.50 (step @p134 :rule bool-impl-elim :args (@t93 @t171)) % 126.61/128.50 (step @p135 :rule cong :premises (@p134) :args ((forall @t94 (=> @t93 @t171)))) % 126.61/128.50 (step @p136 :rule bool-impl-elim :args (@t15 @t170)) % 126.61/128.50 (step @p137 :rule cong :premises (@p136) :args ((forall @t16 (=> @t15 @t170)))) % 126.61/128.50 (step @p138 :rule bool-impl-elim :args (@t98 @t169)) % 126.61/128.50 (step @p139 :rule cong :premises (@p138) :args ((forall @t99 (=> @t98 @t169)))) % 126.61/128.50 (step @p140 :rule bool-impl-elim :args (@t13 @t120)) % 126.61/128.50 (step @p141 :rule cong :premises (@p140) :args (@t121)) % 126.61/128.50 (step @p142 :rule refl :args (@t98)) % 126.61/128.50 (step @p143 :rule cong :premises (@p142 @p141) :args (@t122)) % 126.61/128.50 (step @p144 :rule cong :premises (@p143) :args (@t123)) % 126.61/128.50 (step @p145 :rule trans :premises (@p144 @p139)) % 126.61/128.50 (step @p146 :rule cong :premises (@p91 @p145) :args (@t124)) % 126.61/128.50 (step @p147 :rule cong :premises (@p146) :args (@t125)) % 126.61/128.51 (step @p148 :rule trans :premises (@p147 @p137)) % 126.61/128.51 (step @p149 :rule refl :args (@t93)) % 126.61/128.51 (step @p150 :rule cong :premises (@p149 @p148) :args (@t126)) % 126.61/128.51 (step @p151 :rule cong :premises (@p150) :args (@t127)) % 126.61/128.51 (step @p152 :rule trans :premises (@p151 @p135)) % 126.61/128.51 (step @p153 :rule cong :premises (@p99 @p152) :args (@t128)) % 126.61/128.51 (step @p154 :rule cong :premises (@p153) :args (@t129)) % 126.61/128.51 (step @p155 :rule trans :premises (@p154 @p133)) % 126.61/128.51 (step @p156 :rule cong :premises (@p155 @p131) :args (@t130)) % 126.61/128.51 (step @p157 :rule cong :premises (@p106 @p156) :args (@t131)) % 126.61/128.51 (step @p158 :rule cong :premises (@p157) :args (@t132)) % 126.61/128.51 (step @p159 :rule trans :premises (@p158 @p129)) % 126.61/128.51 (step @p160 :rule and_elim :premises (@p38) :args (1)) % 126.61/128.51 (step @p161 :rule eq_resolve :premises (@p160 @p159)) % 126.61/128.51 (step @p162 :rule instantiate :premises (@p161) :args (@t157)) % 126.61/128.51 (step @p163 :rule bool-impl-elim :args (@t9 @t142)) % 126.61/128.51 (step @p164 :rule cong :premises (@p163) :args (@t143)) % 126.61/128.51 (step @p165 :rule cong :premises (@p164) :args (@t144)) % 126.61/128.51 (step @p166 :rule eq_resolve :premises (@p67 @p165)) % 126.61/128.51 (step @p167 :rule alpha_equiv :args (@t176 @t159 @t160)) % 126.61/128.51 (step @p168 :rule equiv_elim2 :premises (@p167)) % 126.61/128.51 (step @p169 :rule chain_m_resolution :premises (@p168 @p166) :args ((not @t177) (@list true) (@list @t176))) % 126.61/128.51 (step @p170 :rule cnf_or_pos :args (@t180)) % 126.61/128.51 (step @p171 :rule reordering :premises (@p170) :args ((or @t166 @t177 @t179 (not @t180)))) % 126.61/128.51 (step @p172 :rule chain_m_resolution :premises (@p171 @p119 @p169 @p162) :args (@t179 (@list false true false) (@list @t165 @t177 @t180))) % 126.61/128.51 (step @p173 :rule alpha_equiv :args ((forall (@list @t185) (or (not (|tptp.'$ki_accessible'| |tptp.'$ki_local_world'| @t185)) (forall (@list @t182) (or (not (|tptp.'$ki_exists_in_world_$i'| @t185 @t182)) (forall (@list @t184) (or (not (|tptp.'$ki_accessible'| @t185 @t184)) (forall (@list @t181) (or (not (|tptp.'$ki_exists_in_world_$i'| @t184 @t181)) (forall (@list @t183) (or (not (|tptp.'$ki_accessible'| @t184 @t183)) (tptp.is_a_theorem @t183 (tptp.implies @t181 (tptp.or @t182 @t181))))))))))))) @t186 (@list @t12 @t92 @t11 @t97 @t6))) % 126.61/128.51 (step @p174 :rule alpha_equiv :args (@t163 (@list @t12 @t3 @t11 @t10 @t6) @t186)) % 126.61/128.51 (step @p175 :rule trans :premises (@p174 @p173)) % 126.61/128.51 (step @p176 :rule equiv_elim1 :premises (@p175)) % 126.61/128.51 (step @p177 false :rule chain_m_resolution :premises (@p176 @p172 @p122) :args (false (@list true false) (@list @t178 @t163))) % 126.61/128.51 ) % 126.61/128.51 % SZS output end Proof % 126.61/128.51 % cvc5 exiting %------------------------------------------------------------------------------