%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NLP266^23 : TPTP v9.2.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n006.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 Jun 3 08:37:17 AM UTC 2026 % Result : Theorem 207.31s 207.68s % Output : Proof 207.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NLP266^23 : TPTP v9.2.1. Released v8.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 10:17:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TH0 % 207.31/207.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 207.31/207.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 207.31/207.68 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 207.31/207.68 --- Run --ho-elim --full-saturate-quant at 18s... % 207.31/207.68 --- Run --ho-elim --no-e-matching --full-saturate-quant at 12s... % 207.31/207.68 --- Run --ho-elim --no-e-matching --enum-inst-sum --full-saturate-quant at 12s... % 207.31/207.68 --- Run --ho-elim --finite-model-find --uf-ss=no-minimal at 9s... % 207.31/207.68 --- Run --no-ho-matching --finite-model-find --uf-ss=no-minimal at 6s... % 207.31/207.68 % SZS status Theorem % 207.31/207.68 % SZS output start Proof % 207.31/207.68 ( % 207.31/207.68 (declare-sort $$unsorted 0) % 207.31/207.68 (declare-sort tptp.mworld 0) % 207.31/207.68 (declare-const tptp.mactual tptp.mworld) % 207.31/207.68 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 207.31/207.68 (declare-const tptp.eiw_di (-> $$unsorted tptp.mworld Bool)) % 207.31/207.68 (declare-const tptp.string (-> $$unsorted tptp.mworld Bool)) % 207.31/207.68 (declare-const tptp.u $$unsorted) % 207.31/207.68 (declare-const tptp.userid (-> $$unsorted $$unsorted tptp.mworld Bool)) % 207.31/207.68 (declare-const tptp.number (-> $$unsorted $$unsorted tptp.mworld Bool)) % 207.31/207.68 (declare-const tptp.entry_box (-> $$unsorted tptp.mworld Bool)) % 207.31/207.68 (declare-const tptp.one $$unsorted) % 207.31/207.68 (declare-const tptp.in (-> $$unsorted $$unsorted $$unsorted tptp.mworld Bool)) % 207.31/207.68 (declare-const tptp.do (-> $$unsorted $$unsorted $$unsorted tptp.mworld Bool)) % 207.31/207.68 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 207.31/207.68 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 207.31/207.68 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 207.31/207.68 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 207.31/207.68 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 207.31/207.68 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 207.31/207.68 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 207.31/207.68 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 207.31/207.68 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (=> (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 207.31/207.68 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.eiw_di _let_2) _let_1) (_ (_ _let_3 _let_2) _let_1)))))))) % 207.31/207.68 (define @t1 () (@var "W" tptp.mworld)) % 207.31/207.68 (define @t2 () (_ tptp.mrel @t1)) % 207.31/207.68 (define @t3 () (_ @t2 @t1)) % 207.31/207.68 (define @t4 () (@list @t1)) % 207.31/207.68 (define @t5 () (forall @t4 @t3)) % 207.31/207.68 (define @t6 () (@var "V" tptp.mworld)) % 207.31/207.68 (define @t7 () (@var "U" tptp.mworld)) % 207.31/207.68 (define @t8 () (_ (_ tptp.mrel @t7) @t6)) % 207.31/207.68 (define @t9 () (_ @t2 @t6)) % 207.31/207.68 (define @t10 () (_ @t2 @t7)) % 207.31/207.68 (define @t11 () (and @t10 @t9)) % 207.31/207.68 (define @t12 () (@list @t1 @t6 @t7)) % 207.31/207.68 (define @t13 () (forall @t12 (=> @t11 @t8))) % 207.31/207.68 (define @t14 () (@var "X" $$unsorted)) % 207.31/207.68 (define @t15 () (_ tptp.eiw_di @t14)) % 207.31/207.68 (define @t16 () (_ @t15 @t1)) % 207.31/207.68 (define @t17 () (@list @t14)) % 207.31/207.68 (define @t18 () (_ @t15 @t6)) % 207.31/207.68 (define @t19 () (_ (_ tptp.mrel @t6) @t1)) % 207.31/207.68 (define @t20 () (and @t16 @t19)) % 207.31/207.68 (define @t21 () (@list @t1 @t6 @t14)) % 207.31/207.68 (define @t22 () (forall @t21 (=> @t20 @t18))) % 207.31/207.68 (define @t23 () (@var "__flatten_var_0" tptp.mworld)) % 207.31/207.68 (define @t24 () (@var "I" $$unsorted)) % 207.31/207.68 (define @t25 () (_ tptp.string @t24)) % 207.31/207.68 (define @t26 () (_ (_ tptp.userid tptp.u) @t24)) % 207.31/207.68 (define @t27 () (_ tptp.mand @t26)) % 207.31/207.68 (define @t28 () (@list @t24 @t23)) % 207.31/207.68 (define @t29 () (lambda @t28 (_ (_ tptp.mbox (_ @t27 @t25)) @t23))) % 207.31/207.68 (define @t30 () (@var "B" $$unsorted)) % 207.31/207.68 (define @t31 () (_ (_ tptp.number @t30) tptp.one)) % 207.31/207.68 (define @t32 () (_ tptp.entry_box @t30)) % 207.31/207.68 (define @t33 () (_ (_ tptp.mand @t32) @t31)) % 207.31/207.68 (define @t34 () (@list @t30 @t23)) % 207.31/207.68 (define @t35 () (lambda @t34 (_ (_ tptp.mbox @t33) @t23))) % 207.31/207.68 (define @t36 () (@var "S2" $$unsorted)) % 207.31/207.68 (define @t37 () (_ (_ tptp.in @t24) @t30)) % 207.31/207.68 (define @t38 () (_ @t37 @t36)) % 207.31/207.68 (define @t39 () (@var "A" $$unsorted)) % 207.31/207.68 (define @t40 () (@var "S" $$unsorted)) % 207.31/207.68 (define @t41 () (_ (_ tptp.do @t40) @t39)) % 207.31/207.68 (define @t42 () (_ @t41 @t36)) % 207.31/207.68 (define @t43 () (@list @t36 @t23)) % 207.31/207.68 (define @t44 () (lambda @t43 (_ (_ (_ tptp.mimplies @t42) @t38) @t23))) % 207.31/207.68 (define @t45 () (_ tptp.mbox (_ tptp.mforall_di @t44))) % 207.31/207.68 (define @t46 () (@list @t39 @t23)) % 207.31/207.68 (define @t47 () (lambda @t46 (_ @t45 @t23))) % 207.31/207.68 (define @t48 () (lambda @t34 (_ (_ (_ tptp.mimplies (_ (_ tptp.mand @t25) @t32)) (_ tptp.mexists_di @t47)) @t23))) % 207.31/207.68 (define @t49 () (lambda @t28 (_ (_ tptp.mforall_di @t48) @t23))) % 207.31/207.68 (define @t50 () (@list @t40 @t23)) % 207.31/207.68 (define @t51 () (lambda @t50 (_ (_ tptp.mforall_di @t49) @t23))) % 207.31/207.68 (define @t52 () (lambda @t50 (_ (_ (_ tptp.mand (_ tptp.mbox (_ @t27 @t33))) @t45) @t23))) % 207.31/207.68 (define @t53 () (lambda @t46 (_ (_ tptp.mexists_di @t52) @t23))) % 207.31/207.68 (define @t54 () (lambda @t34 (_ (_ tptp.mexists_di @t53) @t23))) % 207.31/207.68 (define @t55 () (lambda @t28 (_ (_ tptp.mexists_di @t54) @t23))) % 207.31/207.68 (define @t56 () (not (_ tptp.mlocal (_ tptp.mbox (_ tptp.mexists_di @t55))))) % 207.31/207.68 (define @t57 () (@var "Phi" (-> tptp.mworld Bool))) % 207.31/207.68 (define @t58 () (lambda (@list @t57) (_ @t57 tptp.mactual))) % 207.31/207.68 (define @t59 () (@var "A" (-> tptp.mworld Bool))) % 207.31/207.68 (define @t60 () (_ @t59 @t1)) % 207.31/207.68 (define @t61 () (lambda (@list @t59 @t1) (not @t60))) % 207.31/207.68 (define @t62 () (@var "B" (-> tptp.mworld Bool))) % 207.31/207.68 (define @t63 () (_ @t62 @t1)) % 207.31/207.68 (define @t64 () (@list @t59 @t62 @t1)) % 207.31/207.68 (define @t65 () (lambda @t64 (and @t60 @t63))) % 207.31/207.68 (define @t66 () (lambda @t64 (or @t60 @t63))) % 207.31/207.68 (define @t67 () (lambda @t64 (=> @t60 @t63))) % 207.31/207.68 (define @t68 () (lambda @t64 (= @t60 @t63))) % 207.31/207.68 (define @t69 () (_ @t57 @t6)) % 207.31/207.68 (define @t70 () (@list @t6)) % 207.31/207.68 (define @t71 () (forall @t70 (=> @t9 @t69))) % 207.31/207.68 (define @t72 () (@list @t57 @t1)) % 207.31/207.68 (define @t73 () (lambda @t72 @t71)) % 207.31/207.68 (define @t74 () (lambda @t72 (exists @t70 (and @t9 @t69)))) % 207.31/207.68 (define @t75 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 207.31/207.68 (define @t76 () (_ (_ @t75 @t14) @t1)) % 207.31/207.68 (define @t77 () (forall @t17 (=> @t16 @t76))) % 207.31/207.68 (define @t78 () (@list @t75 @t1)) % 207.31/207.68 (define @t79 () (lambda @t78 @t77)) % 207.31/207.68 (define @t80 () (and @t16 @t76)) % 207.31/207.68 (define @t81 () (exists @t17 @t80)) % 207.31/207.68 (define @t82 () (lambda @t78 @t81)) % 207.31/207.68 (define @t83 () (tptp.mrel @t7 @t6)) % 207.31/207.68 (define @t84 () (tptp.mrel @t1 @t6)) % 207.31/207.68 (define @t85 () (not @t9)) % 207.31/207.68 (define @t86 () (tptp.mrel @t1 @t7)) % 207.31/207.68 (define @t87 () (not @t10)) % 207.31/207.68 (define @t88 () (or @t87 @t85 @t8)) % 207.31/207.68 (define @t89 () (@var "BOUND_VARIABLE_8251" tptp.mworld)) % 207.31/207.68 (define @t90 () (@var "BOUND_VARIABLE_7974" $$unsorted)) % 207.31/207.68 (define @t91 () (@var "BOUND_VARIABLE_8297" $$unsorted)) % 207.31/207.68 (define @t92 () (@var "BOUND_VARIABLE_8295" $$unsorted)) % 207.31/207.68 (define @t93 () (@var "BOUND_VARIABLE_8035" $$unsorted)) % 207.31/207.68 (define @t94 () (@var "BOUND_VARIABLE_8293" $$unsorted)) % 207.31/207.68 (define @t95 () (not (tptp.eiw_di @t90 @t89))) % 207.31/207.68 (define @t96 () (not (tptp.mrel @t6 @t89))) % 207.31/207.68 (define @t97 () (@list @t89 @t90)) % 207.31/207.68 (define @t98 () (not (tptp.eiw_di @t93 @t6))) % 207.31/207.68 (define @t99 () (@list @t93)) % 207.31/207.68 (define @t100 () (not (forall @t99 (or @t98 (not (forall @t97 (or @t96 @t95 (not (tptp.do @t94 @t93 @t90 @t89)) (tptp.in @t92 @t91 @t90 @t89)))))))) % 207.31/207.68 (define @t101 () (not (tptp.entry_box @t91 @t6))) % 207.31/207.68 (define @t102 () (not (tptp.eiw_di @t91 @t6))) % 207.31/207.68 (define @t103 () (not (tptp.string @t92 @t6))) % 207.31/207.68 (define @t104 () (not (tptp.eiw_di @t92 @t6))) % 207.31/207.68 (define @t105 () (not (tptp.eiw_di @t94 @t6))) % 207.31/207.68 (define @t106 () (not (tptp.mrel tptp.mactual @t6))) % 207.31/207.68 (define @t107 () (@list @t6 @t94 @t92 @t91)) % 207.31/207.68 (define @t108 () (not @t84)) % 207.31/207.68 (define @t109 () (or @t108 @t105 @t104 @t103 @t102 @t101 @t100)) % 207.31/207.68 (define @t110 () (lambda @t4 (forall @t107 @t109))) % 207.31/207.68 (define @t111 () (_ @t110 tptp.mactual)) % 207.31/207.68 (define @t112 () (or @t105 @t104 @t103 @t102 @t101 @t100)) % 207.31/207.68 (define @t113 () (or @t108 @t112)) % 207.31/207.68 (define @t114 () (forall @t107 @t113)) % 207.31/207.68 (define @t115 () (@list @t94 @t92 @t91)) % 207.31/207.68 (define @t116 () (forall @t115 @t113)) % 207.31/207.68 (define @t117 () (forall @t115 @t112)) % 207.31/207.68 (define @t118 () (@var "BOUND_VARIABLE_8222" $$unsorted)) % 207.31/207.68 (define @t119 () (@var "BOUND_VARIABLE_8220" $$unsorted)) % 207.31/207.68 (define @t120 () (or @t108 @t117)) % 207.31/207.68 (define @t121 () (tptp.in @t119 @t118 @t90 @t89)) % 207.31/207.68 (define @t122 () (not (tptp.do @t14 @t93 @t90 @t89))) % 207.31/207.68 (define @t123 () (tptp.eiw_di @t14 @t6)) % 207.31/207.68 (define @t124 () (not @t123)) % 207.31/207.68 (define @t125 () (@list @t14 @t119 @t118)) % 207.31/207.68 (define @t126 () (forall @t125 (or @t124 (not (tptp.eiw_di @t119 @t6)) (not (tptp.string @t119 @t6)) (not (tptp.eiw_di @t118 @t6)) (not (tptp.entry_box @t118 @t6)) (not (forall @t99 (or @t98 (not (forall @t97 (or @t96 @t95 @t122 @t121))))))))) % 207.31/207.68 (define @t127 () (not (tptp.eiw_di @t93 @t1))) % 207.31/207.68 (define @t128 () (not (tptp.entry_box @t118 @t1))) % 207.31/207.68 (define @t129 () (not (tptp.eiw_di @t118 @t1))) % 207.31/207.68 (define @t130 () (not (tptp.string @t119 @t1))) % 207.31/207.68 (define @t131 () (not (tptp.eiw_di @t119 @t1))) % 207.31/207.68 (define @t132 () (tptp.eiw_di @t14 @t1)) % 207.31/207.68 (define @t133 () (not @t132)) % 207.31/207.68 (define @t134 () (not (tptp.do @t14 @t93 @t90 @t6))) % 207.31/207.68 (define @t135 () (not (tptp.eiw_di @t90 @t6))) % 207.31/207.68 (define @t136 () (@list @t6 @t90)) % 207.31/207.68 (define @t137 () (forall @t136 (or @t108 @t135 @t134 (tptp.in @t119 @t118 @t90 @t6)))) % 207.31/207.68 (define @t138 () (@list @t6)) % 207.31/207.68 (define @t139 () (not @t137)) % 207.31/207.68 (define @t140 () (or @t127 @t139)) % 207.31/207.68 (define @t141 () (forall @t99 @t140)) % 207.31/207.68 (define @t142 () (not @t141)) % 207.31/207.68 (define @t143 () (or @t133 @t131 @t130 @t129 @t128 @t142)) % 207.31/207.68 (define @t144 () (forall @t125 @t143)) % 207.31/207.68 (define @t145 () (lambda @t4 @t144)) % 207.31/207.68 (define @t146 () (or @t108 (_ @t145 @t6))) % 207.31/207.68 (define @t147 () (forall @t70 @t146)) % 207.31/207.68 (define @t148 () (lambda @t4 @t147)) % 207.31/207.68 (define @t149 () (_ @t57 @t6)) % 207.31/207.68 (define @t150 () (lambda @t72 (forall @t70 (or @t108 @t149)))) % 207.31/207.68 (define @t151 () (or @t131 @t130 @t129 @t128 @t142)) % 207.31/207.68 (define @t152 () (or @t133 @t151)) % 207.31/207.68 (define @t153 () (forall @t125 @t152)) % 207.31/207.68 (define @t154 () (@list @t119 @t118)) % 207.31/207.68 (define @t155 () (forall @t154 @t152)) % 207.31/207.68 (define @t156 () (forall @t154 @t151)) % 207.31/207.68 (define @t157 () (@var "BOUND_VARIABLE_8144" $$unsorted)) % 207.31/207.68 (define @t158 () (@var "BOUND_VARIABLE_8186" $$unsorted)) % 207.31/207.68 (define @t159 () (or @t133 @t156)) % 207.31/207.68 (define @t160 () (tptp.in @t158 @t157 @t90 @t6)) % 207.31/207.68 (define @t161 () (not (tptp.entry_box @t157 @t1))) % 207.31/207.68 (define @t162 () (not (tptp.eiw_di @t157 @t1))) % 207.31/207.68 (define @t163 () (@list @t158 @t157)) % 207.31/207.68 (define @t164 () (forall @t163 (or (not (tptp.eiw_di @t158 @t1)) (not (tptp.string @t158 @t1)) @t162 @t161 (not (forall @t99 (or @t127 (not (forall @t136 (or @t108 @t135 @t134 @t160))))))))) % 207.31/207.68 (define @t165 () (not (tptp.do @t40 @t93 @t90 @t6))) % 207.31/207.68 (define @t166 () (not (tptp.mrel @t23 @t6))) % 207.31/207.68 (define @t167 () (not (tptp.eiw_di @t93 @t23))) % 207.31/207.68 (define @t168 () (not (tptp.entry_box @t157 @t23))) % 207.31/207.68 (define @t169 () (not (tptp.eiw_di @t157 @t23))) % 207.31/207.68 (define @t170 () (tptp.in @t14 @t157 @t90 @t6)) % 207.31/207.68 (define @t171 () (not (tptp.eiw_di @t14 @t23))) % 207.31/207.68 (define @t172 () (@list @t14 @t157)) % 207.31/207.68 (define @t173 () (forall @t172 (or @t171 (not (tptp.string @t14 @t23)) @t169 @t168 (not (forall @t99 (or @t167 (not (forall @t136 (or @t166 @t135 @t165 @t170))))))))) % 207.31/207.68 (define @t174 () (@list @t14)) % 207.31/207.68 (define @t175 () (lambda @t50 @t173)) % 207.31/207.68 (define @t176 () (or @t133 (_ @t175 @t14 @t1))) % 207.31/207.68 (define @t177 () (forall @t17 @t176)) % 207.31/207.68 (define @t178 () (lambda @t4 @t177)) % 207.31/207.68 (define @t179 () (_ @t75 @t14 @t1)) % 207.31/207.68 (define @t180 () (lambda @t78 (forall @t17 (or @t133 @t179)))) % 207.31/207.68 (define @t181 () (not (forall @t99 (or @t127 (not (forall @t136 (or @t108 @t135 @t165 @t170))))))) % 207.31/207.68 (define @t182 () (tptp.string @t14 @t1)) % 207.31/207.68 (define @t183 () (not @t182)) % 207.31/207.68 (define @t184 () (or @t133 @t183 @t162 @t161 @t181)) % 207.31/207.68 (define @t185 () (or @t162 @t161 @t181)) % 207.31/207.68 (define @t186 () (or @t133 @t183 @t185)) % 207.31/207.68 (define @t187 () (forall @t172 @t186)) % 207.31/207.68 (define @t188 () (@list @t157)) % 207.31/207.68 (define @t189 () (forall @t188 @t186)) % 207.31/207.68 (define @t190 () (forall @t188 @t185)) % 207.31/207.68 (define @t191 () (@var "BOUND_VARIABLE_8101" $$unsorted)) % 207.31/207.68 (define @t192 () (@list @t191)) % 207.31/207.68 (define @t193 () (or @t133 @t183 @t190)) % 207.31/207.68 (define @t194 () (@list @t191)) % 207.31/207.68 (define @t195 () (forall @t194 (or (not (tptp.eiw_di @t191 @t1)) (not (tptp.entry_box @t191 @t1)) (not (forall @t99 (or @t127 (not (forall @t136 (or @t108 @t135 @t165 (tptp.in @t14 @t191 @t90 @t6)))))))))) % 207.31/207.68 (define @t196 () (_ (_ tptp.string @t14) @t1)) % 207.31/207.68 (define @t197 () (not @t196)) % 207.31/207.68 (define @t198 () (or @t133 @t197 @t195)) % 207.31/207.68 (define @t199 () (or @t197 @t195)) % 207.31/207.68 (define @t200 () (_ @t25 @t23)) % 207.31/207.68 (define @t201 () (not @t200)) % 207.31/207.68 (define @t202 () (tptp.in @t24 @t14 @t90 @t6)) % 207.31/207.68 (define @t203 () (forall @t17 (or @t171 (not (tptp.entry_box @t14 @t23)) (not (forall @t99 (or @t167 (not (forall @t136 (or @t166 @t135 @t165 @t202))))))))) % 207.31/207.68 (define @t204 () (or @t201 @t203)) % 207.31/207.68 (define @t205 () (lambda @t28 @t204)) % 207.31/207.68 (define @t206 () (or @t133 (_ @t205 @t14 @t1))) % 207.31/207.68 (define @t207 () (forall @t17 @t206)) % 207.31/207.68 (define @t208 () (lambda @t4 @t207)) % 207.31/207.68 (define @t209 () (not (forall @t99 (or @t127 (not (forall @t136 (or @t108 @t135 @t165 @t202))))))) % 207.31/207.68 (define @t210 () (tptp.entry_box @t14 @t1)) % 207.31/207.68 (define @t211 () (_ @t25 @t1)) % 207.31/207.68 (define @t212 () (not @t211)) % 207.31/207.68 (define @t213 () (_ (_ tptp.entry_box @t14) @t1)) % 207.31/207.68 (define @t214 () (not @t213)) % 207.31/207.68 (define @t215 () (or @t133 @t214 @t209)) % 207.31/207.68 (define @t216 () (forall @t17 @t215)) % 207.31/207.68 (define @t217 () (or @t212 @t216)) % 207.31/207.68 (define @t218 () (or @t212 @t215)) % 207.31/207.68 (define @t219 () (or @t133 @t212 @t214 @t209)) % 207.31/207.68 (define @t220 () (or @t212 @t214 @t209)) % 207.31/207.68 (define @t221 () (and @t211 @t213)) % 207.31/207.68 (define @t222 () (=> @t221 @t209)) % 207.31/207.68 (define @t223 () (or @t133 @t222)) % 207.31/207.68 (define @t224 () (tptp.in @t24 @t30 @t90 @t6)) % 207.31/207.68 (define @t225 () (and @t200 (_ @t32 @t23))) % 207.31/207.68 (define @t226 () (not (tptp.do @t40 @t14 @t90 @t6))) % 207.31/207.68 (define @t227 () (forall @t17 (or @t171 (not (forall @t136 (or @t166 @t135 @t226 @t224)))))) % 207.31/207.68 (define @t228 () (not @t227)) % 207.31/207.68 (define @t229 () (=> @t225 @t228)) % 207.31/207.68 (define @t230 () (lambda @t34 @t229)) % 207.31/207.68 (define @t231 () (or @t133 (_ @t230 @t14 @t1))) % 207.31/207.68 (define @t232 () (forall @t17 @t231)) % 207.31/207.68 (define @t233 () (lambda @t4 @t232)) % 207.31/207.68 (define @t234 () (forall @t136 (or @t108 @t135 @t226 @t224))) % 207.31/207.68 (define @t235 () (not (forall @t17 (or @t133 (not @t234))))) % 207.31/207.68 (define @t236 () (_ @t32 @t1)) % 207.31/207.68 (define @t237 () (and @t211 @t236)) % 207.31/207.68 (define @t238 () (lambda @t4 @t235)) % 207.31/207.68 (define @t239 () (_ @t238 @t1)) % 207.31/207.68 (define @t240 () (=> @t237 @t239)) % 207.31/207.68 (define @t241 () (lambda @t4 @t240)) % 207.31/207.68 (define @t242 () (@list @t62 @t1)) % 207.31/207.68 (define @t243 () (not (tptp.do @t40 @t39 @t90 @t6))) % 207.31/207.68 (define @t244 () (forall @t136 (or @t166 @t135 @t243 @t224))) % 207.31/207.68 (define @t245 () (lambda @t46 @t244)) % 207.31/207.68 (define @t246 () (_ @t245 @t14 @t1)) % 207.31/207.68 (define @t247 () (not @t246)) % 207.31/207.68 (define @t248 () (or @t133 @t247)) % 207.31/207.68 (define @t249 () (forall @t17 @t248)) % 207.31/207.68 (define @t250 () (not @t249)) % 207.31/207.68 (define @t251 () (lambda @t4 @t250)) % 207.31/207.68 (define @t252 () (lambda @t78 (not (forall @t17 (or @t133 (not @t179)))))) % 207.31/207.68 (define @t253 () (or @t108 @t135 @t243 @t224)) % 207.31/207.68 (define @t254 () (forall @t136 @t253)) % 207.31/207.68 (define @t255 () (lambda @t4 @t254)) % 207.31/207.68 (define @t256 () (or @t135 @t243 @t224)) % 207.31/207.68 (define @t257 () (or @t108 @t256)) % 207.31/207.68 (define @t258 () (forall @t136 @t257)) % 207.31/207.68 (define @t259 () (@list @t90)) % 207.31/207.68 (define @t260 () (forall @t259 @t257)) % 207.31/207.68 (define @t261 () (forall @t259 @t256)) % 207.31/207.68 (define @t262 () (or @t108 @t261)) % 207.31/207.68 (define @t263 () (forall @t17 (or @t124 (not (tptp.do @t40 @t39 @t14 @t6)) (tptp.in @t24 @t30 @t14 @t6)))) % 207.31/207.68 (define @t264 () (tptp.in @t24 @t30 @t14 @t1)) % 207.31/207.68 (define @t265 () (tptp.do @t40 @t39 @t14 @t1)) % 207.31/207.68 (define @t266 () (lambda @t4 (forall @t17 (or @t133 (not @t265) @t264)))) % 207.31/207.68 (define @t267 () (_ @t266 @t6)) % 207.31/207.68 (define @t268 () (or @t108 @t267)) % 207.31/207.68 (define @t269 () (forall @t70 @t268)) % 207.31/207.68 (define @t270 () (lambda @t4 @t269)) % 207.31/207.68 (define @t271 () (_ (_ @t37 @t14) @t1)) % 207.31/207.68 (define @t272 () (_ (_ @t41 @t14) @t1)) % 207.31/207.68 (define @t273 () (not @t272)) % 207.31/207.68 (define @t274 () (or @t133 @t273 @t271)) % 207.31/207.68 (define @t275 () (=> @t272 @t271)) % 207.31/207.68 (define @t276 () (or @t133 @t275)) % 207.31/207.68 (define @t277 () (=> (_ @t42 @t23) (_ @t38 @t23))) % 207.31/207.68 (define @t278 () (lambda @t43 @t277)) % 207.31/207.68 (define @t279 () (_ @t278 @t14 @t1)) % 207.31/207.68 (define @t280 () (or @t133 @t279)) % 207.31/207.68 (define @t281 () (forall @t17 @t280)) % 207.31/207.68 (define @t282 () (lambda @t4 @t281)) % 207.31/207.68 (define @t283 () (_ @t42 @t1)) % 207.31/207.68 (define @t284 () (lambda @t4 (=> @t283 (_ @t38 @t1)))) % 207.31/207.68 (define @t285 () (lambda @t242 (=> @t283 @t63))) % 207.31/207.68 (define @t286 () (_ @t67 @t42)) % 207.31/207.68 (define @t287 () (lambda @t43 (_ (_ @t286 @t38) @t23))) % 207.31/207.68 (define @t288 () (_ @t150 (_ @t180 @t287))) % 207.31/207.68 (define @t289 () (lambda @t46 (_ @t288 @t23))) % 207.31/207.68 (define @t290 () (lambda @t4 @t237)) % 207.31/207.68 (define @t291 () (_ @t290 @t1)) % 207.31/207.68 (define @t292 () (=> @t291 @t63)) % 207.31/207.68 (define @t293 () (lambda @t242 @t292)) % 207.31/207.68 (define @t294 () (lambda @t242 (and @t211 @t63))) % 207.31/207.68 (define @t295 () (_ @t65 @t25)) % 207.31/207.68 (define @t296 () (lambda @t34 (_ (_ (_ @t67 (_ @t295 @t32)) (_ @t252 @t289)) @t23))) % 207.31/207.68 (define @t297 () (lambda @t28 (_ (_ @t180 @t296) @t23))) % 207.31/207.68 (define @t298 () (not @t16)) % 207.31/207.68 (define @t299 () (or @t298 @t76)) % 207.31/207.68 (define @t300 () (or @t85 @t69)) % 207.31/207.68 (define @t301 () (not @t76)) % 207.31/207.68 (define @t302 () (or @t298 @t301)) % 207.31/207.68 (define @t303 () (forall @t17 (not @t80))) % 207.31/207.68 (define @t304 () (not @t303)) % 207.31/207.68 (define @t305 () (tptp.number @t14 tptp.one @t6)) % 207.31/207.68 (define @t306 () (tptp.entry_box @t14 @t6)) % 207.31/207.68 (define @t307 () (and @t306 @t305)) % 207.31/207.68 (define @t308 () (not (tptp.eiw_di @t14 tptp.mactual))) % 207.31/207.68 (define @t309 () (forall @t17 (or @t308 (not (forall @t70 (or @t106 @t307)))))) % 207.31/207.68 (define @t310 () (@quantifiers_skolemize @t309 0)) % 207.31/207.68 (define @t311 () (@var "BOUND_VARIABLE_7788" tptp.mworld)) % 207.31/207.68 (define @t312 () (and (tptp.userid tptp.u @t14 @t311) (tptp.string @t14 @t311))) % 207.31/207.68 (define @t313 () (not (tptp.mrel tptp.mactual @t311))) % 207.31/207.68 (define @t314 () (@list @t311)) % 207.31/207.68 (define @t315 () (forall @t17 (or @t308 (not (forall @t314 (or @t313 @t312)))))) % 207.31/207.68 (define @t316 () (@quantifiers_skolemize @t315 0)) % 207.31/207.68 (define @t317 () (not (forall @t17 (or @t124 (not (forall @t314 (or (not (tptp.mrel @t6 @t311)) @t312))))))) % 207.31/207.68 (define @t318 () (lambda @t4 (forall @t70 (or @t108 @t317)))) % 207.31/207.68 (define @t319 () (_ @t318 tptp.mactual)) % 207.31/207.68 (define @t320 () (tptp.userid tptp.u @t14 @t6)) % 207.31/207.68 (define @t321 () (forall @t70 (or @t108 (and @t320 (tptp.string @t14 @t6))))) % 207.31/207.68 (define @t322 () (not @t321)) % 207.31/207.68 (define @t323 () (or @t133 @t322)) % 207.31/207.68 (define @t324 () (forall @t17 @t323)) % 207.31/207.68 (define @t325 () (not @t324)) % 207.31/207.68 (define @t326 () (lambda @t4 @t325)) % 207.31/207.68 (define @t327 () (or @t108 (_ @t326 @t6))) % 207.31/207.68 (define @t328 () (forall @t70 @t327)) % 207.31/207.68 (define @t329 () (lambda @t4 @t328)) % 207.31/207.68 (define @t330 () (tptp.string @t24 @t6)) % 207.31/207.68 (define @t331 () (tptp.userid tptp.u @t24 @t6)) % 207.31/207.68 (define @t332 () (and @t331 @t330)) % 207.31/207.68 (define @t333 () (forall @t70 (or @t166 @t332))) % 207.31/207.68 (define @t334 () (lambda @t28 @t333)) % 207.31/207.68 (define @t335 () (_ @t334 @t14 @t1)) % 207.31/207.68 (define @t336 () (not @t335)) % 207.31/207.68 (define @t337 () (or @t133 @t336)) % 207.31/207.68 (define @t338 () (forall @t17 @t337)) % 207.31/207.68 (define @t339 () (not @t338)) % 207.31/207.68 (define @t340 () (lambda @t4 @t339)) % 207.31/207.68 (define @t341 () (_ @t25 @t6)) % 207.31/207.68 (define @t342 () (_ @t26 @t6)) % 207.31/207.68 (define @t343 () (and @t342 @t341)) % 207.31/207.68 (define @t344 () (or @t108 @t343)) % 207.31/207.68 (define @t345 () (_ @t26 @t1)) % 207.31/207.68 (define @t346 () (lambda @t4 (and @t345 @t211))) % 207.31/207.68 (define @t347 () (_ @t346 @t6)) % 207.31/207.68 (define @t348 () (or @t108 @t347)) % 207.31/207.68 (define @t349 () (forall @t70 @t348)) % 207.31/207.68 (define @t350 () (lambda @t4 @t349)) % 207.31/207.68 (define @t351 () (lambda @t242 (and @t345 @t63))) % 207.31/207.68 (define @t352 () (_ @t65 @t26)) % 207.31/207.68 (define @t353 () (@list tptp.mactual)) % 207.31/207.68 (define @t354 () (tptp.mrel @t1 @t1)) % 207.31/207.68 (define @t355 () (not @t315)) % 207.31/207.68 (define @t356 () (tptp.mrel tptp.mactual tptp.mactual)) % 207.31/207.68 (define @t357 () (not @t356)) % 207.31/207.68 (define @t358 () (or @t357 @t355)) % 207.31/207.68 (define @t359 () (@list false false)) % 207.31/207.68 (define @t360 () (forall @t314 (or @t313 (and (tptp.userid tptp.u @t316 @t311) (tptp.string @t316 @t311))))) % 207.31/207.68 (define @t361 () (not @t360)) % 207.31/207.68 (define @t362 () (tptp.eiw_di @t316 tptp.mactual)) % 207.31/207.68 (define @t363 () (not @t362)) % 207.31/207.68 (define @t364 () (or @t363 @t361)) % 207.31/207.68 (define @t365 () (@list true)) % 207.31/207.68 (define @t366 () (@list @t364)) % 207.31/207.68 (define @t367 () (tptp.string @t316 tptp.mactual)) % 207.31/207.68 (define @t368 () (and (tptp.userid tptp.u @t316 tptp.mactual) @t367)) % 207.31/207.68 (define @t369 () (or @t357 @t368)) % 207.31/207.68 (define @t370 () (@list false)) % 207.31/207.68 (define @t371 () (forall @t70 (or @t108 @t307))) % 207.31/207.68 (define @t372 () (lambda @t4 (not (forall @t17 (or @t133 (not @t371)))))) % 207.31/207.68 (define @t373 () (_ @t372 tptp.mactual)) % 207.31/207.68 (define @t374 () (tptp.number @t30 tptp.one @t6)) % 207.31/207.68 (define @t375 () (tptp.entry_box @t30 @t6)) % 207.31/207.68 (define @t376 () (and @t375 @t374)) % 207.31/207.68 (define @t377 () (forall @t70 (or @t166 @t376))) % 207.31/207.68 (define @t378 () (lambda @t34 @t377)) % 207.31/207.68 (define @t379 () (_ @t378 @t14 @t1)) % 207.31/207.68 (define @t380 () (not @t379)) % 207.31/207.68 (define @t381 () (or @t133 @t380)) % 207.31/207.68 (define @t382 () (forall @t17 @t381)) % 207.31/207.68 (define @t383 () (not @t382)) % 207.31/207.68 (define @t384 () (lambda @t4 @t383)) % 207.31/207.68 (define @t385 () (_ @t31 @t6)) % 207.31/207.68 (define @t386 () (_ @t32 @t6)) % 207.31/207.68 (define @t387 () (and @t386 @t385)) % 207.31/207.68 (define @t388 () (or @t108 @t387)) % 207.31/207.68 (define @t389 () (_ @t31 @t1)) % 207.31/207.68 (define @t390 () (and @t236 @t389)) % 207.31/207.68 (define @t391 () (lambda @t4 @t390)) % 207.31/207.68 (define @t392 () (_ @t391 @t6)) % 207.31/207.68 (define @t393 () (or @t108 @t392)) % 207.31/207.68 (define @t394 () (forall @t70 @t393)) % 207.31/207.68 (define @t395 () (lambda @t4 @t394)) % 207.31/207.68 (define @t396 () (lambda @t242 (and @t236 @t63))) % 207.31/207.68 (define @t397 () (_ @t65 @t32)) % 207.31/207.68 (define @t398 () (_ @t397 @t31)) % 207.31/207.68 (define @t399 () (forall @t70 (or @t106 (and (tptp.entry_box @t310 @t6) (tptp.number @t310 tptp.one @t6))))) % 207.31/207.68 (define @t400 () (not @t399)) % 207.31/207.68 (define @t401 () (tptp.eiw_di @t310 tptp.mactual)) % 207.31/207.68 (define @t402 () (not @t401)) % 207.31/207.68 (define @t403 () (or @t402 @t400)) % 207.31/207.68 (define @t404 () (@list @t403)) % 207.31/207.68 (define @t405 () (tptp.entry_box @t310 tptp.mactual)) % 207.31/207.68 (define @t406 () (and @t405 (tptp.number @t310 tptp.one tptp.mactual))) % 207.31/207.68 (define @t407 () (or @t357 @t406)) % 207.31/207.68 (define @t408 () (tptp.in @t316 @t310 @t90 @t89)) % 207.31/207.68 (define @t409 () (not (tptp.mrel tptp.mactual @t89))) % 207.31/207.68 (define @t410 () (forall @t99 (or (not (tptp.eiw_di @t93 tptp.mactual)) (not (forall @t97 (or @t409 @t95 (not (tptp.do @t310 @t93 @t90 @t89)) @t408)))))) % 207.31/207.68 (define @t411 () (not @t410)) % 207.31/207.68 (define @t412 () (not @t405)) % 207.31/207.68 (define @t413 () (not @t367)) % 207.31/207.68 (define @t414 () (or @t357 @t402 @t363 @t413 @t402 @t412 @t411)) % 207.31/207.68 (define @t415 () (@quantifiers_skolemize @t410 0)) % 207.31/207.68 (define @t416 () (forall @t97 (or @t409 @t95 (not (tptp.do @t310 @t415 @t90 @t89)) @t408))) % 207.31/207.68 (define @t417 () (not @t416)) % 207.31/207.68 (define @t418 () (tptp.eiw_di @t415 tptp.mactual)) % 207.31/207.68 (define @t419 () (not @t418)) % 207.31/207.68 (define @t420 () (or @t419 @t417)) % 207.31/207.68 (define @t421 () (@list @t420)) % 207.31/207.68 (define @t422 () (@var "BOUND_VARIABLE_8647" tptp.mworld)) % 207.31/207.68 (define @t423 () (not (tptp.eiw_di @t90 @t422))) % 207.31/207.68 (define @t424 () (@var "BOUND_VARIABLE_8610" $$unsorted)) % 207.31/207.68 (define @t425 () (tptp.in @t14 @t424 @t90 @t422)) % 207.31/207.68 (define @t426 () (@var "BOUND_VARIABLE_8612" $$unsorted)) % 207.31/207.68 (define @t427 () (@var "BOUND_VARIABLE_8614" $$unsorted)) % 207.31/207.68 (define @t428 () (not (tptp.do @t427 @t426 @t90 @t422))) % 207.31/207.68 (define @t429 () (@list @t422 @t90)) % 207.31/207.68 (define @t430 () (@var "BOUND_VARIABLE_8660" tptp.mworld)) % 207.31/207.68 (define @t431 () (and (tptp.userid tptp.u @t14 @t430) (tptp.entry_box @t424 @t430) (tptp.number @t424 tptp.one @t430))) % 207.31/207.68 (define @t432 () (@list @t430)) % 207.31/207.68 (define @t433 () (@list @t14 @t424 @t426 @t427)) % 207.31/207.68 (define @t434 () (not (forall @t433 (or @t124 (not (tptp.eiw_di @t424 @t6)) (not (forall @t432 (or (not (tptp.mrel @t6 @t430)) @t431))) (not (tptp.eiw_di @t426 @t6)) (not (tptp.eiw_di @t427 @t6)) (not (forall @t429 (or (not (tptp.mrel @t6 @t422)) @t423 @t428 @t425))))))) % 207.31/207.68 (define @t435 () (forall @t70 (or @t106 @t434))) % 207.31/207.68 (define @t436 () (@quantifiers_skolemize @t435 0)) % 207.31/207.68 (define @t437 () (not (tptp.mrel @t436 @t422))) % 207.31/207.68 (define @t438 () (forall @t429 (or @t437 @t423 (not (tptp.do @t310 @t415 @t90 @t422)) (tptp.in @t316 @t310 @t90 @t422)))) % 207.31/207.68 (define @t439 () (@quantifiers_skolemize @t438 1)) % 207.31/207.68 (define @t440 () (@quantifiers_skolemize @t438 0)) % 207.31/207.68 (define @t441 () (lambda @t4 (forall @t70 (or @t108 @t434)))) % 207.31/207.68 (define @t442 () (_ @t441 tptp.mactual)) % 207.31/207.68 (define @t443 () (not (tptp.eiw_di @t427 @t1))) % 207.31/207.68 (define @t444 () (not (tptp.eiw_di @t426 @t1))) % 207.31/207.68 (define @t445 () (not (tptp.eiw_di @t424 @t1))) % 207.31/207.68 (define @t446 () (forall @t136 (or @t108 @t135 (not (tptp.do @t427 @t426 @t90 @t6)) (tptp.in @t14 @t424 @t90 @t6)))) % 207.31/207.68 (define @t447 () (not @t446)) % 207.31/207.68 (define @t448 () (forall @t70 (or @t108 (and @t320 (tptp.entry_box @t424 @t6) (tptp.number @t424 tptp.one @t6))))) % 207.31/207.68 (define @t449 () (not @t448)) % 207.31/207.68 (define @t450 () (or @t133 @t445 @t449 @t444 @t443 @t447)) % 207.31/207.68 (define @t451 () (forall @t433 @t450)) % 207.31/207.68 (define @t452 () (not @t451)) % 207.31/207.68 (define @t453 () (lambda @t4 @t452)) % 207.31/207.68 (define @t454 () (or @t108 (_ @t453 @t6))) % 207.31/207.68 (define @t455 () (forall @t70 @t454)) % 207.31/207.68 (define @t456 () (lambda @t4 @t455)) % 207.31/207.68 (define @t457 () (or @t445 @t449 @t444 @t443 @t447)) % 207.31/207.68 (define @t458 () (or @t133 @t457)) % 207.31/207.68 (define @t459 () (forall @t433 @t458)) % 207.31/207.68 (define @t460 () (@list @t424 @t426 @t427)) % 207.31/207.68 (define @t461 () (forall @t460 @t458)) % 207.31/207.68 (define @t462 () (forall @t460 @t457)) % 207.31/207.68 (define @t463 () (@var "BOUND_VARIABLE_8533" $$unsorted)) % 207.31/207.68 (define @t464 () (@var "BOUND_VARIABLE_8531" $$unsorted)) % 207.31/207.68 (define @t465 () (@var "BOUND_VARIABLE_8574" $$unsorted)) % 207.31/207.68 (define @t466 () (or @t133 @t462)) % 207.31/207.68 (define @t467 () (not (tptp.do @t463 @t464 @t90 @t6))) % 207.31/207.68 (define @t468 () (not (tptp.eiw_di @t463 @t1))) % 207.31/207.68 (define @t469 () (not (tptp.eiw_di @t464 @t1))) % 207.31/207.68 (define @t470 () (tptp.number @t465 tptp.one @t6)) % 207.31/207.68 (define @t471 () (tptp.entry_box @t465 @t6)) % 207.31/207.68 (define @t472 () (@list @t465 @t464 @t463)) % 207.31/207.68 (define @t473 () (forall @t472 (or (not (tptp.eiw_di @t465 @t1)) (not (forall @t70 (or @t108 (and @t320 @t471 @t470)))) @t469 @t468 (not (forall @t136 (or @t108 @t135 @t467 (tptp.in @t14 @t465 @t90 @t6))))))) % 207.31/207.68 (define @t474 () (not (tptp.eiw_di @t463 @t23))) % 207.31/207.68 (define @t475 () (not (tptp.eiw_di @t464 @t23))) % 207.31/207.68 (define @t476 () (and @t331 @t306 @t305)) % 207.31/207.68 (define @t477 () (@list @t14 @t464 @t463)) % 207.31/207.68 (define @t478 () (forall @t477 (or @t171 (not (forall @t70 (or @t166 @t476))) @t475 @t474 (not (forall @t136 (or @t166 @t135 @t467 @t202)))))) % 207.31/207.68 (define @t479 () (not @t478)) % 207.31/207.68 (define @t480 () (lambda @t28 @t479)) % 207.31/207.68 (define @t481 () (not (_ @t480 @t14 @t1))) % 207.31/207.68 (define @t482 () (or @t133 @t481)) % 207.31/207.68 (define @t483 () (forall @t17 @t482)) % 207.31/207.68 (define @t484 () (not @t483)) % 207.31/207.68 (define @t485 () (lambda @t4 @t484)) % 207.31/207.68 (define @t486 () (not (forall @t136 (or @t108 @t135 @t467 @t202)))) % 207.31/207.68 (define @t487 () (not (forall @t70 (or @t108 @t476)))) % 207.31/207.68 (define @t488 () (or @t133 @t487 @t469 @t468 @t486)) % 207.31/207.68 (define @t489 () (or @t469 @t468 @t486)) % 207.31/207.68 (define @t490 () (or @t133 @t487 @t489)) % 207.31/207.68 (define @t491 () (forall @t477 @t490)) % 207.31/207.68 (define @t492 () (@list @t464 @t463)) % 207.31/207.68 (define @t493 () (forall @t492 @t490)) % 207.31/207.68 (define @t494 () (forall @t492 @t489)) % 207.31/207.68 (define @t495 () (@var "BOUND_VARIABLE_8462" $$unsorted)) % 207.31/207.68 (define @t496 () (@var "BOUND_VARIABLE_8498" $$unsorted)) % 207.31/207.68 (define @t497 () (or @t133 @t487 @t494)) % 207.31/207.68 (define @t498 () (not (tptp.do @t495 @t496 @t90 @t6))) % 207.31/207.68 (define @t499 () (not (tptp.eiw_di @t495 @t1))) % 207.31/207.68 (define @t500 () (@list @t496 @t495)) % 207.31/207.68 (define @t501 () (forall @t500 (or (not (tptp.eiw_di @t496 @t1)) @t499 (not (forall @t136 (or @t108 @t135 @t498 @t202)))))) % 207.31/207.68 (define @t502 () (or @t133 @t487 @t501)) % 207.31/207.68 (define @t503 () (or @t487 @t501)) % 207.31/207.68 (define @t504 () (not (tptp.eiw_di @t495 @t23))) % 207.31/207.68 (define @t505 () (and @t331 @t375 @t374)) % 207.31/207.68 (define @t506 () (forall @t70 (or @t166 @t505))) % 207.31/207.68 (define @t507 () (not @t506)) % 207.31/207.68 (define @t508 () (not (tptp.do @t495 @t14 @t90 @t6))) % 207.31/207.68 (define @t509 () (@list @t14 @t495)) % 207.31/207.68 (define @t510 () (forall @t509 (or @t171 @t504 (not (forall @t136 (or @t166 @t135 @t508 @t224)))))) % 207.31/207.68 (define @t511 () (or @t507 @t510)) % 207.31/207.68 (define @t512 () (not @t511)) % 207.31/207.68 (define @t513 () (lambda @t34 @t512)) % 207.31/207.68 (define @t514 () (not (_ @t513 @t14 @t1))) % 207.31/207.68 (define @t515 () (or @t133 @t514)) % 207.31/207.68 (define @t516 () (forall @t17 @t515)) % 207.31/207.68 (define @t517 () (not @t516)) % 207.31/207.68 (define @t518 () (lambda @t4 @t517)) % 207.31/207.68 (define @t519 () (not (forall @t136 (or @t108 @t135 @t508 @t224)))) % 207.31/207.68 (define @t520 () (or @t133 @t499 @t519)) % 207.31/207.68 (define @t521 () (forall @t70 (or @t108 @t505))) % 207.31/207.68 (define @t522 () (not @t521)) % 207.31/207.68 (define @t523 () (or @t499 @t519)) % 207.31/207.68 (define @t524 () (or @t133 @t523)) % 207.31/207.68 (define @t525 () (forall @t509 @t524)) % 207.31/207.68 (define @t526 () (@list @t495)) % 207.31/207.68 (define @t527 () (forall @t526 @t524)) % 207.31/207.68 (define @t528 () (forall @t526 @t523)) % 207.31/207.68 (define @t529 () (@var "BOUND_VARIABLE_8428" $$unsorted)) % 207.31/207.68 (define @t530 () (@list @t529)) % 207.31/207.68 (define @t531 () (or @t133 @t528)) % 207.31/207.68 (define @t532 () (@list @t529)) % 207.31/207.68 (define @t533 () (forall @t532 (or (not (tptp.eiw_di @t529 @t1)) (not (forall @t136 (or @t108 @t135 (not (tptp.do @t529 @t14 @t90 @t6)) @t224)))))) % 207.31/207.68 (define @t534 () (or @t133 @t533)) % 207.31/207.68 (define @t535 () (forall @t17 @t534)) % 207.31/207.68 (define @t536 () (or @t522 @t535)) % 207.31/207.68 (define @t537 () (or @t522 @t534)) % 207.31/207.68 (define @t538 () (or @t133 @t522 @t533)) % 207.31/207.68 (define @t539 () (or @t522 @t533)) % 207.31/207.68 (define @t540 () (not (tptp.do @t14 @t39 @t90 @t6))) % 207.31/207.68 (define @t541 () (forall @t17 (or @t171 (not (forall @t136 (or @t166 @t135 @t540 @t224)))))) % 207.31/207.68 (define @t542 () (or @t507 @t541)) % 207.31/207.68 (define @t543 () (not @t542)) % 207.31/207.68 (define @t544 () (lambda @t46 @t543)) % 207.31/207.68 (define @t545 () (not (_ @t544 @t14 @t1))) % 207.31/207.68 (define @t546 () (or @t133 @t545)) % 207.31/207.68 (define @t547 () (forall @t17 @t546)) % 207.31/207.68 (define @t548 () (not @t547)) % 207.31/207.68 (define @t549 () (lambda @t4 @t548)) % 207.31/207.68 (define @t550 () (forall @t136 (or @t108 @t135 @t540 @t224))) % 207.31/207.68 (define @t551 () (not @t550)) % 207.31/207.68 (define @t552 () (or @t133 @t551)) % 207.31/207.68 (define @t553 () (or @t522 (forall @t17 @t552))) % 207.31/207.68 (define @t554 () (or @t522 @t552)) % 207.31/207.68 (define @t555 () (or @t133 @t522 @t551)) % 207.31/207.68 (define @t556 () (and @t521 @t550)) % 207.31/207.68 (define @t557 () (or @t133 (not @t556))) % 207.31/207.68 (define @t558 () (and @t506 @t244)) % 207.31/207.68 (define @t559 () (lambda @t50 @t558)) % 207.31/207.68 (define @t560 () (_ @t559 @t14 @t1)) % 207.31/207.68 (define @t561 () (not @t560)) % 207.31/207.68 (define @t562 () (or @t133 @t561)) % 207.31/207.68 (define @t563 () (forall @t17 @t562)) % 207.31/207.68 (define @t564 () (not @t563)) % 207.31/207.68 (define @t565 () (lambda @t4 @t564)) % 207.31/207.68 (define @t566 () (_ @t255 @t1)) % 207.31/207.68 (define @t567 () (and @t521 @t566)) % 207.31/207.68 (define @t568 () (lambda @t4 @t567)) % 207.31/207.68 (define @t569 () (lambda @t4 @t521)) % 207.31/207.68 (define @t570 () (_ @t569 @t1)) % 207.31/207.68 (define @t571 () (and @t570 @t63)) % 207.31/207.68 (define @t572 () (lambda @t242 @t571)) % 207.31/207.68 (define @t573 () (and @t342 @t386 @t385)) % 207.31/207.68 (define @t574 () (or @t108 @t573)) % 207.31/207.68 (define @t575 () (and @t345 @t236 @t389)) % 207.31/207.68 (define @t576 () (lambda @t4 @t575)) % 207.31/207.68 (define @t577 () (_ @t576 @t6)) % 207.31/207.68 (define @t578 () (or @t108 @t577)) % 207.31/207.68 (define @t579 () (forall @t70 @t578)) % 207.31/207.68 (define @t580 () (lambda @t4 @t579)) % 207.31/207.68 (define @t581 () (_ @t391 @t1)) % 207.31/207.68 (define @t582 () (and @t345 @t581)) % 207.31/207.68 (define @t583 () (lambda @t4 @t582)) % 207.31/207.68 (define @t584 () (lambda @t50 (_ (_ (_ @t65 (_ @t150 (_ @t352 @t398))) @t288) @t23))) % 207.31/207.68 (define @t585 () (lambda @t46 (_ (_ @t252 @t584) @t23))) % 207.31/207.68 (define @t586 () (lambda @t34 (_ (_ @t252 @t585) @t23))) % 207.31/207.68 (define @t587 () (lambda @t28 (_ (_ @t252 @t586) @t23))) % 207.31/207.68 (define @t588 () (not (tptp.mrel @t436 @t430))) % 207.31/207.68 (define @t589 () (forall @t433 (or (not (tptp.eiw_di @t14 @t436)) (not (tptp.eiw_di @t424 @t436)) (not (forall @t432 (or @t588 @t431))) (not (tptp.eiw_di @t426 @t436)) (not (tptp.eiw_di @t427 @t436)) (not (forall @t429 (or @t437 @t423 @t428 @t425)))))) % 207.31/207.68 (define @t590 () (not @t589)) % 207.31/207.68 (define @t591 () (tptp.mrel tptp.mactual @t436)) % 207.31/207.68 (define @t592 () (not @t591)) % 207.31/207.68 (define @t593 () (or @t592 @t590)) % 207.31/207.68 (define @t594 () (@list @t593)) % 207.31/207.68 (define @t595 () (tptp.mrel @t6 @t1)) % 207.31/207.68 (define @t596 () (not @t19)) % 207.31/207.68 (define @t597 () (or @t298 @t596 @t18)) % 207.31/207.68 (define @t598 () (tptp.mrel @t436 tptp.mactual)) % 207.31/207.68 (define @t599 () (or @t592 @t357 @t598)) % 207.31/207.68 (define @t600 () (@list false false false)) % 207.31/207.68 (define @t601 () (tptp.eiw_di @t415 @t436)) % 207.31/207.68 (define @t602 () (not @t598)) % 207.31/207.68 (define @t603 () (or @t419 @t602 @t601)) % 207.31/207.68 (define @t604 () (forall @t432 (or @t588 (and (tptp.userid tptp.u @t316 @t430) (tptp.entry_box @t310 @t430) (tptp.number @t310 tptp.one @t430))))) % 207.31/207.68 (define @t605 () (@quantifiers_skolemize @t604 0)) % 207.31/207.68 (define @t606 () (tptp.mrel @t436 @t605)) % 207.31/207.68 (define @t607 () (tptp.number @t310 tptp.one @t605)) % 207.31/207.68 (define @t608 () (tptp.entry_box @t310 @t605)) % 207.31/207.68 (define @t609 () (tptp.userid tptp.u @t316 @t605)) % 207.31/207.68 (define @t610 () (and @t609 @t608 @t607)) % 207.31/207.68 (define @t611 () (not @t606)) % 207.31/207.68 (define @t612 () (or @t611 @t610)) % 207.31/207.68 (define @t613 () (tptp.mrel tptp.mactual @t605)) % 207.31/207.68 (define @t614 () (or @t602 @t611 @t613)) % 207.31/207.68 (define @t615 () (@list @t605)) % 207.31/207.68 (define @t616 () (and @t608 @t607)) % 207.31/207.68 (define @t617 () (not @t613)) % 207.31/207.68 (define @t618 () (or @t617 @t616)) % 207.31/207.68 (define @t619 () (and @t609 (tptp.string @t316 @t605))) % 207.31/207.68 (define @t620 () (or @t617 @t619)) % 207.31/207.68 (define @t621 () (not @t616)) % 207.31/207.68 (define @t622 () (not @t612)) % 207.31/207.68 (define @t623 () (not @t604)) % 207.31/207.68 (define @t624 () (tptp.eiw_di @t316 @t436)) % 207.31/207.68 (define @t625 () (or @t363 @t602 @t624)) % 207.31/207.68 (define @t626 () (tptp.eiw_di @t310 @t436)) % 207.31/207.68 (define @t627 () (or @t402 @t602 @t626)) % 207.31/207.68 (define @t628 () (not @t438)) % 207.31/207.68 (define @t629 () (not @t626)) % 207.31/207.68 (define @t630 () (not @t601)) % 207.31/207.68 (define @t631 () (not @t624)) % 207.31/207.68 (define @t632 () (or @t631 @t629 @t623 @t630 @t629 @t628)) % 207.31/207.68 (define @t633 () (tptp.in @t316 @t310 @t439 @t440)) % 207.31/207.68 (define @t634 () (tptp.do @t310 @t415 @t439 @t440)) % 207.31/207.68 (define @t635 () (not @t634)) % 207.31/207.68 (define @t636 () (tptp.eiw_di @t439 @t440)) % 207.31/207.68 (define @t637 () (not @t636)) % 207.31/207.68 (define @t638 () (tptp.mrel @t436 @t440)) % 207.31/207.68 (define @t639 () (not @t638)) % 207.31/207.68 (define @t640 () (or @t639 @t637 @t635 @t633)) % 207.31/207.68 (define @t641 () (not @t640)) % 207.31/207.68 (define @t642 () (@list @t640)) % 207.31/207.68 (define @t643 () (tptp.mrel tptp.mactual @t440)) % 207.31/207.68 (define @t644 () (not @t643)) % 207.31/207.68 (define @t645 () (or @t644 @t637 @t635 @t633)) % 207.31/207.68 (define @t646 () (or @t602 @t639 @t643)) % 207.31/207.68 (define @t647 () (not @t646)) % 207.31/207.68 (define @t648 () (forall @t12 (or (not @t86) @t108 @t83))) % 207.31/207.68 (assume @p1 @t5) % 207.31/207.68 (assume @p2 @t13) % 207.31/207.68 (assume @p3 (forall @t4 (exists @t17 @t16))) % 207.31/207.68 (assume @p4 @t22) % 207.31/207.68 (assume @p5 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mexists_di @t29)))) % 207.31/207.68 (assume @p6 (_ tptp.mlocal (_ tptp.mexists_di @t35))) % 207.31/207.68 (assume @p7 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t51)))) % 207.31/207.68 (assume @p8 @t56) % 207.31/207.68 (assume @p9 true) % 207.31/207.68 (step @p10 (= tptp.mlocal @t58) :rule refl :args (@t58)) % 207.31/207.68 (step @p11 (= tptp.mnot @t61) :rule refl :args (@t61)) % 207.31/207.68 (step @p12 (= tptp.mand @t65) :rule refl :args (@t65)) % 207.31/207.68 (step @p13 (= tptp.mor @t66) :rule refl :args (@t66)) % 207.31/207.68 (step @p14 (= tptp.mimplies @t67) :rule refl :args (@t67)) % 207.31/207.68 (step @p15 (= tptp.mequiv @t68) :rule refl :args (@t68)) % 207.31/207.68 (step @p16 (= tptp.mbox @t73) :rule refl :args (@t73)) % 207.31/207.68 (step @p17 (= tptp.mdia @t74) :rule refl :args (@t74)) % 207.31/207.68 (step @p18 (= tptp.mforall_di @t79) :rule refl :args (@t79)) % 207.31/207.68 (step @p19 (= tptp.mexists_di @t82) :rule refl :args (@t82)) % 207.31/207.68 (step @p20 :rule refl :args (@t83)) % 207.31/207.68 (step @p21 :rule refl :args (@t8)) % 207.31/207.68 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t8 @t83))) % 207.31/207.68 (step @p23 :rule symm :premises (@p22)) % 207.31/207.68 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 207.31/207.68 (step @p25 :rule refl :args (@t84)) % 207.31/207.68 (step @p26 :rule refl :args (@t9)) % 207.31/207.68 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t9 @t84))) % 207.31/207.68 (step @p28 :rule symm :premises (@p27)) % 207.31/207.68 (step @p29 :rule eq_resolve :premises (@p26 @p28)) % 207.31/207.68 (step @p30 :rule cong :premises (@p29) :args (@t85)) % 207.31/207.68 (step @p31 :rule refl :args (@t86)) % 207.31/207.68 (step @p32 :rule refl :args (@t10)) % 207.31/207.68 (step @p33 :rule cong :premises (@p32 @p31) :args ((= @t10 @t86))) % 207.31/207.68 (step @p34 :rule symm :premises (@p33)) % 207.31/207.68 (step @p35 :rule eq_resolve :premises (@p32 @p34)) % 207.31/207.68 (step @p36 :rule cong :premises (@p35) :args (@t87)) % 207.31/207.68 (step @p37 :rule nary_cong :premises (@p36 @p30 @p24) :args (@t88)) % 207.31/207.68 (step @p38 :rule cong :premises (@p37) :args ((forall @t12 @t88))) % 207.31/207.68 (step @p39 :rule aci_norm :args ((= (or (or @t87 @t85) @t8) @t88))) % 207.31/207.68 (step @p40 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 207.31/207.68 (step @p41 :rule nary_cong :premises (@p40 @p21) :args ((or (not @t11) @t8))) % 207.31/207.68 (step @p42 :rule trans :premises (@p41 @p39)) % 207.31/207.68 (step @p43 :rule bool-impl-elim :args (@t11 @t8)) % 207.31/207.68 (step @p44 :rule trans :premises (@p43 @p42)) % 207.31/207.68 (step @p45 :rule cong :premises (@p44) :args (@t13)) % 207.31/207.68 (step @p46 :rule trans :premises (@p45 @p38)) % 207.31/207.68 (step @p47 :rule eq_resolve :premises (@p2 @p46)) % 207.31/207.68 (step @p48 :rule beta-reduce :args ((= @t111 (forall @t107 (or @t106 @t105 @t104 @t103 @t102 @t101 @t100))))) % 207.31/207.68 (step @p49 :rule beta-reduce :args ((= (_ @t58 @t110) @t111))) % 207.31/207.68 (step @p50 :rule trans :premises (@p49 @p48)) % 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@t550 true)) % 207.31/207.69 (step @p702 :rule nary_cong :premises (@p75 @p701) :args (@t557)) % 207.31/207.69 (step @p703 :rule trans :premises (@p702 @p700)) % 207.31/207.69 (step @p704 :rule cong :premises (@p703) :args ((forall @t17 @t557))) % 207.31/207.69 (step @p705 :rule trans :premises (@p704 @p699)) % 207.31/207.69 (step @p706 :rule beta-reduce :args ((= @t560 @t556))) % 207.31/207.69 (step @p707 :rule cong :premises (@p706) :args (@t561)) % 207.31/207.69 (step @p708 :rule nary_cong :premises (@p106 @p707) :args (@t562)) % 207.31/207.69 (step @p709 :rule cong :premises (@p708) :args (@t563)) % 207.31/207.69 (step @p710 :rule trans :premises (@p709 @p705)) % 207.31/207.69 (step @p711 :rule cong :premises (@p710) :args (@t564)) % 207.31/207.69 (step @p712 :rule cong :premises (@p711) :args (@t565)) % 207.31/207.69 (step @p713 :rule beta-reduce :args ((= (_ @t252 @t559) @t565))) % 207.31/207.69 (step @p714 :rule trans :premises (@p713 @p712)) % 207.31/207.69 (step @p715 :rule beta-reduce :args ((= (_ (lambda @t4 (and @t521 @t254)) @t23) @t558))) % 207.31/207.69 (step @p716 :rule beta-reduce :args ((= @t566 @t254))) % 207.31/207.69 (step @p717 :rule refl :args (@t521)) % 207.31/207.69 (step @p718 :rule nary_cong :premises (@p717 @p716) :args (@t567)) % 207.31/207.69 (step @p719 :rule cong :premises (@p718) :args (@t568)) % 207.31/207.69 (step @p720 :rule beta-reduce :args ((= (_ (lambda @t242 (and @t521 @t63)) @t255) @t568))) % 207.31/207.69 (step @p721 :rule trans :premises (@p720 @p719)) % 207.31/207.69 (step @p722 :rule beta-reduce :args ((= @t570 @t521))) % 207.31/207.69 (step @p723 :rule nary_cong :premises (@p722 @p275) :args (@t571)) % 207.31/207.69 (step @p724 :rule cong :premises (@p723) :args (@t572)) % 207.31/207.69 (step @p725 :rule beta-reduce :args ((= (_ @t65 @t569) @t572))) % 207.31/207.69 (step @p726 :rule trans :premises (@p725 @p724)) % 207.31/207.69 (step @p727 :rule nary_cong :premises (@p416 @p507 @p502) :args (@t573)) % 207.31/207.69 (step @p728 :rule nary_cong :premises (@p55 @p727) :args (@t574)) % 207.31/207.69 (step @p729 :rule cong :premises (@p728) :args ((forall @t70 @t574))) % 207.31/207.69 (step @p730 :rule beta-reduce :args ((= @t577 @t573))) % 207.31/207.69 (step @p731 :rule nary_cong :premises (@p81 @p730) :args (@t578)) % 207.31/207.69 (step @p732 :rule cong :premises (@p731) :args (@t579)) % 207.31/207.69 (step @p733 :rule trans :premises (@p732 @p729)) % 207.31/207.69 (step @p734 :rule cong :premises (@p733) :args (@t580)) % 207.31/207.69 (step @p735 :rule beta-reduce :args ((= (_ @t150 @t576) @t580))) % 207.31/207.69 (step @p736 :rule trans :premises (@p735 @p734)) % 207.31/207.69 (step @p737 :rule aci_norm :args ((= (and @t345 @t390) @t575))) % 207.31/207.69 (step @p738 :rule beta-reduce :args ((= @t581 @t390))) % 207.31/207.69 (step @p739 :rule refl :args (@t345)) % 207.31/207.69 (step @p740 :rule nary_cong :premises (@p739 @p738) :args (@t582)) % 207.31/207.69 (step @p741 :rule trans :premises (@p740 @p737)) % 207.31/207.69 (step @p742 :rule cong :premises (@p741) :args (@t583)) % 207.31/207.69 (step @p743 :rule beta-reduce :args ((= (_ @t351 @t391) @t583))) % 207.31/207.69 (step @p744 :rule trans :premises (@p743 @p742)) % 207.31/207.69 (step @p745 :rule ho_cong :premises (@p428 @p522)) % 207.31/207.69 (step @p746 :rule trans :premises (@p745 @p744)) % 207.31/207.69 (step @p747 :rule ho_cong :premises (@p266 @p746)) % 207.31/207.69 (step @p748 :rule trans :premises (@p747 @p736)) % 207.31/207.69 (step @p749 :rule refl :args (@t65)) % 207.31/207.69 (step @p750 :rule ho_cong :premises (@p749 @p748)) % 207.31/207.69 (step @p751 :rule trans :premises (@p750 @p726)) % 207.31/207.69 (step @p752 :rule ho_cong :premises (@p751 @p268)) % 207.31/207.69 (step @p753 :rule trans :premises (@p752 @p721)) % 207.31/207.69 (step @p754 :rule ho_cong :premises (@p753 @p114)) % 207.31/207.69 (step @p755 :rule trans :premises (@p754 @p715)) % 207.31/207.69 (step @p756 :rule cong :premises (@p755) :args (@t584)) % 207.31/207.69 (step @p757 :rule ho_cong :premises (@p272 @p756)) % 207.31/207.69 (step @p758 :rule trans :premises (@p757 @p714)) % 207.31/207.69 (step @p759 :rule ho_cong :premises (@p758 @p114)) % 207.31/207.69 (step @p760 :rule trans :premises (@p759 @p695)) % 207.31/207.69 (step @p761 :rule cong :premises (@p760) :args (@t585)) % 207.31/207.69 (step @p762 :rule ho_cong :premises (@p272 @p761)) % 207.31/207.69 (step @p763 :rule trans :premises (@p762 @p694)) % 207.31/207.69 (step @p764 :rule ho_cong :premises (@p763 @p114)) % 207.31/207.69 (step @p765 :rule trans :premises (@p764 @p657)) % 207.31/207.69 (step @p766 :rule cong :premises (@p765) :args (@t586)) % 207.31/207.69 (step @p767 :rule ho_cong :premises (@p272 @p766)) % 207.31/207.69 (step @p768 :rule trans :premises (@p767 @p656)) % 207.31/207.69 (step @p769 :rule ho_cong :premises (@p768 @p114)) % 207.31/207.69 (step @p770 :rule trans :premises (@p769 @p624)) % 207.31/207.69 (step @p771 :rule cong :premises (@p770) :args (@t587)) % 207.31/207.69 (step @p772 :rule ho_cong :premises (@p272 @p771)) % 207.31/207.69 (step @p773 :rule trans :premises (@p772 @p623)) % 207.31/207.69 (step @p774 :rule ho_cong :premises (@p266 @p773)) % 207.31/207.69 (step @p775 :rule trans :premises (@p774 @p596)) % 207.31/207.69 (step @p776 :rule ho_cong :premises (@p308 @p775)) % 207.31/207.69 (step @p777 :rule trans :premises (@p776 @p577)) % 207.31/207.69 (step @p778 :rule cong :premises (@p777) :args ((not (_ @t58 (_ @t150 (_ @t252 @t587)))))) % 207.31/207.69 (step @p779 :rule ho_cong :premises (@p443 @p533)) % 207.31/207.69 (step @p780 :rule ho_cong :premises (@p346 @p779)) % 207.31/207.69 (step @p781 :rule ho_cong :premises (@p12 @p780)) % 207.31/207.69 (step @p782 :rule ho_cong :premises (@p781 @p347)) % 207.31/207.69 (step @p783 :rule ho_cong :premises (@p782 @p114)) % 207.31/207.69 (step @p784 :rule cong :premises (@p783) :args (@t52)) % 207.31/207.69 (step @p785 :rule ho_cong :premises (@p360 @p784)) % 207.31/207.69 (step @p786 :rule ho_cong :premises (@p785 @p114)) % 207.31/207.69 (step @p787 :rule cong :premises (@p786) :args (@t53)) % 207.31/207.69 (step @p788 :rule ho_cong :premises (@p360 @p787)) % 207.31/207.69 (step @p789 :rule ho_cong :premises (@p788 @p114)) % 207.31/207.69 (step @p790 :rule cong :premises (@p789) :args (@t54)) % 207.31/207.69 (step @p791 :rule ho_cong :premises (@p360 @p790)) % 207.31/207.69 (step @p792 :rule ho_cong :premises (@p791 @p114)) % 207.31/207.69 (step @p793 :rule cong :premises (@p792) :args (@t55)) % 207.31/207.69 (step @p794 :rule ho_cong :premises (@p360 @p793)) % 207.31/207.69 (step @p795 :rule ho_cong :premises (@p346 @p794)) % 207.31/207.69 (step @p796 :rule ho_cong :premises (@p10 @p795)) % 207.31/207.69 (step @p797 :rule cong :premises (@p796) :args (@t56)) % 207.31/207.69 (step @p798 :rule trans :premises (@p797 @p778)) % 207.31/207.69 (step @p799 :rule eq_resolve :premises (@p8 @p798)) % 207.31/207.69 (step @p800 :rule skolemize :premises (@p799)) % 207.31/207.69 (step @p801 :rule bool-double-not-elim :args (@t589)) % 207.31/207.69 (step @p802 :rule refl :args (@t593)) % 207.31/207.69 (step @p803 :rule nary_cong :premises (@p802 @p801) :args ((or @t593 (not @t590)))) % 207.31/207.69 (step @p804 :rule cnf_or_neg :args (@t593 1)) % 207.31/207.69 (step @p805 :rule eq_resolve :premises (@p804 @p803)) % 207.31/207.69 (step @p806 :rule reordering :premises (@p805) :args ((or @t589 @t593))) % 207.31/207.69 (step @p807 :rule chain_m_resolution :premises (@p806 @p800) :args (@t589 @t365 @t594)) % 207.31/207.69 (step @p808 :rule instantiate :premises (@p807) :args ((@list @t316 @t310 @t415 @t310))) % 207.31/207.69 (step @p809 :rule refl :args (@t123)) % 207.31/207.69 (step @p810 :rule refl :args (@t18)) % 207.31/207.69 (step @p811 :rule cong :premises (@p810 @p809) :args ((= @t18 @t123))) % 207.31/207.69 (step @p812 :rule symm :premises (@p811)) % 207.31/207.69 (step @p813 :rule eq_resolve :premises (@p810 @p812)) % 207.31/207.69 (step @p814 :rule refl :args (@t595)) % 207.31/207.69 (step @p815 :rule refl :args (@t19)) % 207.31/207.69 (step @p816 :rule cong :premises (@p815 @p814) :args ((= @t19 @t595))) % 207.31/207.69 (step @p817 :rule symm :premises (@p816)) % 207.31/207.69 (step @p818 :rule eq_resolve :premises (@p815 @p817)) % 207.31/207.69 (step @p819 :rule cong :premises (@p818) :args (@t596)) % 207.31/207.69 (step @p820 :rule nary_cong :premises (@p326 @p819 @p813) :args (@t597)) % 207.31/207.69 (step @p821 :rule cong :premises (@p820) :args ((forall @t21 @t597))) % 207.31/207.69 (step @p822 :rule aci_norm :args ((= (or (or @t298 @t596) @t18) @t597))) % 207.31/207.69 (step @p823 :rule bool-and-de-morgan :args (@t16 @t19 true)) % 207.31/207.69 (step @p824 :rule nary_cong :premises (@p823 @p810) :args ((or (not @t20) @t18))) % 207.31/207.69 (step @p825 :rule trans :premises (@p824 @p822)) % 207.31/207.69 (step @p826 :rule bool-impl-elim :args (@t20 @t18)) % 207.31/207.69 (step @p827 :rule trans :premises (@p826 @p825)) % 207.31/207.69 (step @p828 :rule cong :premises (@p827) :args (@t22)) % 207.31/207.69 (step @p829 :rule trans :premises (@p828 @p821)) % 207.31/207.69 (step @p830 :rule eq_resolve :premises (@p4 @p829)) % 207.31/207.69 (step @p831 :rule instantiate :premises (@p830) :args ((@list tptp.mactual @t436 @t415))) % 207.31/207.69 (step @p832 :rule bool-double-not-elim :args (@t418)) % 207.31/207.69 (step @p833 :rule nary_cong :premises (@p568 @p832) :args ((or @t420 (not @t419)))) % 207.31/207.69 (step @p834 :rule cnf_or_neg :args (@t420 0)) % 207.31/207.69 (step @p835 :rule eq_resolve :premises (@p834 @p833)) % 207.31/207.69 (step @p836 :rule reordering :premises (@p835) :args ((or @t418 @t420))) % 207.31/207.69 (step @p837 :rule chain_m_resolution :premises (@p836 @p566) :args (@t418 @t365 @t421)) % 207.31/207.69 (step @p838 :rule instantiate :premises (@p47) :args ((@list tptp.mactual tptp.mactual @t436))) % 207.31/207.69 (step @p839 :rule bool-double-not-elim :args (@t591)) % 207.31/207.69 (step @p840 :rule nary_cong :premises (@p802 @p839) :args ((or @t593 (not @t592)))) % 207.31/207.69 (step @p841 :rule cnf_or_neg :args (@t593 0)) % 207.31/207.69 (step @p842 :rule eq_resolve :premises (@p841 @p840)) % 207.31/207.69 (step @p843 :rule reordering :premises (@p842) :args ((or @t591 @t593))) % 207.31/207.69 (step @p844 :rule chain_m_resolution :premises (@p843 @p800) :args (@t591 @t365 @t594)) % 207.31/207.69 (step @p845 :rule cnf_or_pos :args (@t599)) % 207.31/207.69 (step @p846 :rule reordering :premises (@p845) :args ((or @t592 @t357 @t598 (not @t599)))) % 207.31/207.69 (step @p847 :rule chain_m_resolution :premises (@p846 @p844 @p461 @p838) :args (@t598 @t600 (@list @t591 @t356 @t599))) % 207.31/207.69 (step @p848 :rule cnf_or_pos :args (@t603)) % 207.31/207.69 (step @p849 :rule reordering :premises (@p848) :args ((or @t602 @t419 @t601 (not @t603)))) % 207.31/207.69 (step @p850 :rule chain_m_resolution :premises (@p849 @p847 @p837 @p831) :args (@t601 @t600 (@list @t598 @t418 @t603))) % 207.31/207.69 (step @p851 :rule bool-double-not-elim :args (@t606)) % 207.31/207.69 (step @p852 :rule refl :args (@t612)) % 207.31/207.69 (step @p853 :rule nary_cong :premises (@p852 @p851) :args ((or @t612 (not @t611)))) % 207.31/207.69 (step @p854 :rule cnf_or_neg :args (@t612 0)) % 207.31/207.69 (step @p855 :rule eq_resolve :premises (@p854 @p853)) % 207.31/207.69 (step @p856 :rule reordering :premises (@p855) :args ((or @t606 @t612))) % 207.31/207.69 (step @p857 :rule cnf_or_neg :args (@t612 1)) % 207.31/207.69 (step @p858 :rule instantiate :premises (@p47) :args ((@list @t436 @t605 tptp.mactual))) % 207.31/207.69 (step @p859 :rule cnf_or_pos :args (@t614)) % 207.31/207.69 (step @p860 :rule reordering :premises (@p859) :args ((or @t602 @t611 @t613 (not @t614)))) % 207.31/207.69 (step @p861 :rule instantiate :premises (@p548) :args (@t615)) % 207.31/207.69 (step @p862 :rule cnf_or_pos :args (@t618)) % 207.31/207.69 (step @p863 :rule reordering :premises (@p862) :args ((or @t617 @t616 (not @t618)))) % 207.31/207.69 (step @p864 :rule instantiate :premises (@p472) :args (@t615)) % 207.31/207.69 (step @p865 :rule cnf_or_pos :args (@t620)) % 207.31/207.69 (step @p866 :rule reordering :premises (@p865) :args ((or @t617 @t619 (not @t620)))) % 207.31/207.69 (step @p867 :rule cnf_and_pos :args (@t616 0)) % 207.31/207.69 (step @p868 :rule reordering :premises (@p867) :args ((or @t608 @t621))) % 207.31/207.69 (step @p869 :rule cnf_and_pos :args (@t616 1)) % 207.31/207.69 (step @p870 :rule reordering :premises (@p869) :args ((or @t607 @t621))) % 207.31/207.69 (step @p871 :rule cnf_and_pos :args (@t619 0)) % 207.31/207.69 (step @p872 :rule reordering :premises (@p871) :args ((or @t609 (not @t619)))) % 207.31/207.69 (step @p873 :rule cnf_and_neg :args (@t610)) % 207.31/207.69 (step @p874 :rule chain_m_resolution :premises (@p873 @p872 @p870 @p868 @p866 @p864 @p863 @p861 @p860 @p858 @p847 @p857 @p856) :args (@t612 (@list false false false false false false false false false false true false) (@list @t609 @t607 @t608 @t619 @t620 @t616 @t618 @t613 @t614 @t598 @t610 @t606))) % 207.31/207.69 (step @p875 :rule refl :args (@t622)) % 207.31/207.69 (step @p876 :rule bool-double-not-elim :args (@t604)) % 207.31/207.69 (step @p877 :rule nary_cong :premises (@p876 @p875) :args ((or (not @t623) @t622))) % 207.31/207.69 (assume-push @p940 @t623) % 207.31/207.69 (step @p879 :rule skolemize :premises (@p940)) % 207.31/207.69 (step-pop @p941 :rule scope :premises (@p879)) % 207.31/207.69 (step @p880 :rule process_scope :premises (@p941) :args (@t622)) % 207.31/207.69 (step @p882 :rule implies_elim :premises (@p880)) % 207.31/207.69 (step @p883 :rule eq_resolve :premises (@p882 @p877)) % 207.31/207.69 (step @p884 :rule chain_m_resolution :premises (@p883 @p874) :args (@t604 @t370 (@list @t612))) % 207.31/207.69 (step @p885 :rule instantiate :premises (@p830) :args ((@list tptp.mactual @t436 @t316))) % 207.31/207.69 (step @p886 :rule cnf_or_pos :args (@t625)) % 207.31/207.69 (step @p887 :rule reordering :premises (@p886) :args ((or @t363 @t624 @t602 (not @t625)))) % 207.31/207.69 (step @p888 :rule chain_m_resolution :premises (@p887 @p485 @p847 @p885) :args (@t624 @t600 (@list @t362 @t598 @t625))) % 207.31/207.69 (step @p889 :rule instantiate :premises (@p830) :args ((@list tptp.mactual @t436 @t310))) % 207.31/207.69 (step @p890 :rule cnf_or_pos :args (@t627)) % 207.31/207.69 (step @p891 :rule reordering :premises (@p890) :args ((or @t402 @t626 @t602 (not @t627)))) % 207.31/207.69 (step @p892 :rule chain_m_resolution :premises (@p891 @p561 @p847 @p889) :args (@t626 @t600 (@list @t401 @t598 @t627))) % 207.31/207.69 (step @p893 :rule cnf_or_pos :args (@t632)) % 207.31/207.69 (step @p894 :rule factoring :premises (@p893)) % 207.31/207.69 (step @p895 :rule reordering :premises (@p894) :args ((or @t629 @t631 @t623 @t630 @t628 (not @t632)))) % 207.31/207.69 (step @p896 :rule chain_m_resolution :premises (@p895 @p892 @p888 @p884 @p850 @p808) :args (@t628 (@list false false false false false) (@list @t626 @t624 @t604 @t601 @t632))) % 207.31/207.69 (step @p897 :rule refl :args (@t641)) % 207.31/207.69 (step @p898 :rule bool-double-not-elim :args (@t438)) % 207.31/207.69 (step @p899 :rule nary_cong :premises (@p898 @p897) :args ((or (not @t628) @t641))) % 207.31/207.69 (assume-push @p942 @t628) % 207.31/207.69 (step @p901 :rule skolemize :premises (@p942)) % 207.31/207.69 (step-pop @p943 :rule scope :premises (@p901)) % 207.31/207.69 (step @p902 :rule process_scope :premises (@p943) :args (@t641)) % 207.31/207.69 (step @p904 :rule implies_elim :premises (@p902)) % 207.31/207.69 (step @p905 :rule eq_resolve :premises (@p904 @p899)) % 207.31/207.69 (step @p906 :rule chain_m_resolution :premises (@p905 @p896) :args (@t641 @t365 (@list @t438))) % 207.31/207.69 (step @p907 :rule cnf_or_neg :args (@t640 3)) % 207.31/207.69 (step @p908 :rule chain_m_resolution :premises (@p907 @p906) :args ((not @t633) @t365 @t642)) % 207.31/207.69 (step @p909 :rule bool-double-not-elim :args (@t634)) % 207.31/207.69 (step @p910 :rule refl :args (@t640)) % 207.31/207.69 (step @p911 :rule nary_cong :premises (@p910 @p909) :args ((or @t640 (not @t635)))) % 207.31/207.69 (step @p912 :rule cnf_or_neg :args (@t640 2)) % 207.31/207.69 (step @p913 :rule eq_resolve :premises (@p912 @p911)) % 207.31/207.69 (step @p914 :rule reordering :premises (@p913) :args ((or @t634 @t640))) % 207.31/207.69 (step @p915 :rule chain_m_resolution :premises (@p914 @p906) :args (@t634 @t365 @t642)) % 207.31/207.69 (step @p916 :rule bool-double-not-elim :args (@t636)) % 207.31/207.69 (step @p917 :rule nary_cong :premises (@p910 @p916) :args ((or @t640 (not @t637)))) % 207.31/207.69 (step @p918 :rule cnf_or_neg :args (@t640 1)) % 207.31/207.69 (step @p919 :rule eq_resolve :premises (@p918 @p917)) % 207.31/207.69 (step @p920 :rule reordering :premises (@p919) :args ((or @t636 @t640))) % 207.31/207.69 (step @p921 :rule chain_m_resolution :premises (@p920 @p906) :args (@t636 @t365 @t642)) % 207.31/207.69 (step @p922 :rule cnf_or_pos :args (@t645)) % 207.31/207.69 (step @p923 :rule reordering :premises (@p922) :args ((or @t637 @t635 @t633 @t644 (not @t645)))) % 207.31/207.69 (step @p924 :rule chain_m_resolution :premises (@p923 @p921 @p915 @p908 @p574) :args (@t644 (@list false false true false) (@list @t636 @t634 @t633 @t645))) % 207.31/207.69 (step @p925 :rule bool-double-not-elim :args (@t638)) % 207.31/207.69 (step @p926 :rule nary_cong :premises (@p910 @p925) :args ((or @t640 (not @t639)))) % 207.31/207.69 (step @p927 :rule cnf_or_neg :args (@t640 0)) % 207.31/207.69 (step @p928 :rule eq_resolve :premises (@p927 @p926)) % 207.31/207.69 (step @p929 :rule reordering :premises (@p928) :args ((or @t638 @t640))) % 207.31/207.69 (step @p930 :rule chain_m_resolution :premises (@p929 @p906) :args (@t638 @t365 @t642)) % 207.31/207.69 (step @p931 :rule cnf_or_pos :args (@t646)) % 207.31/207.69 (step @p932 :rule reordering :premises (@p931) :args ((or @t602 @t639 @t643 @t647))) % 207.31/207.69 (step @p933 :rule chain_m_resolution :premises (@p932 @p847 @p930 @p924) :args (@t647 (@list false false true) (@list @t598 @t638 @t643))) % 207.31/207.69 (assume-push @p944 @t648) % 207.31/207.69 (step @p935 :rule instantiate :premises (@p47) :args ((@list @t436 @t440 tptp.mactual))) % 207.31/207.69 (step-pop @p945 :rule scope :premises (@p935)) % 207.31/207.69 (step @p936 :rule process_scope :premises (@p945) :args (@t646)) % 207.31/207.69 (step @p938 :rule implies_elim :premises (@p936)) % 207.31/207.69 (step @p939 false :rule chain_m_resolution :premises (@p938 @p933 @p47) :args (false (@list true false) (@list @t646 @t648))) % 207.31/207.69 ) % 207.31/207.69 % SZS output end Proof % 207.31/207.69 % cvc5 exiting %------------------------------------------------------------------------------