%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV211+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n007.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 09:00:44 AM UTC 2026 % Result : Theorem 0.40s 0.67s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWV211+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n007.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:58:41 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.40/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.67 % SZS status Theorem % 0.40/0.67 % SZS output start Proof % 0.40/0.67 ( % 0.40/0.67 (declare-sort $$unsorted 0) % 0.40/0.67 (declare-const tptp.times (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.n400 $$unsorted) % 0.40/0.67 (declare-const tptp.def $$unsorted) % 0.40/0.67 (declare-const tptp.use $$unsorted) % 0.40/0.67 (declare-const tptp.true Bool) % 0.40/0.67 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.40/0.67 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.sigma $$unsorted) % 0.40/0.67 (declare-const tptp.n3 $$unsorted) % 0.40/0.67 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.40/0.67 (declare-const tptp.n0 $$unsorted) % 0.40/0.67 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.n1 $$unsorted) % 0.40/0.67 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.n5 $$unsorted) % 0.40/0.67 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.40/0.67 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.40/0.67 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.40/0.67 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.67 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.40/0.67 (declare-const tptp.n4 $$unsorted) % 0.40/0.67 (declare-const tptp.n2 $$unsorted) % 0.40/0.67 (define @t1 () (@var "Y" $$unsorted)) % 0.40/0.67 (define @t2 () (@var "X" $$unsorted)) % 0.40/0.67 (define @t3 () (= @t2 @t1)) % 0.40/0.67 (define @t4 () (tptp.gt @t1 @t2)) % 0.40/0.67 (define @t5 () (tptp.gt @t2 @t1)) % 0.40/0.67 (define @t6 () (@list @t2 @t1)) % 0.40/0.67 (define @t7 () (@var "Z" $$unsorted)) % 0.40/0.67 (define @t8 () (@list @t2 @t1 @t7)) % 0.40/0.67 (define @t9 () (@list @t2)) % 0.40/0.67 (define @t10 () (tptp.leq @t2 @t1)) % 0.40/0.67 (define @t11 () (tptp.succ @t2)) % 0.40/0.67 (define @t12 () (tptp.succ @t1)) % 0.40/0.67 (define @t13 () (@var "C" $$unsorted)) % 0.40/0.67 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.40/0.67 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.40/0.67 (define @t16 () (@list @t2 @t13)) % 0.40/0.67 (define @t17 () (@var "Val" $$unsorted)) % 0.40/0.67 (define @t18 () (@var "I" $$unsorted)) % 0.40/0.67 (define @t19 () (@var "U" $$unsorted)) % 0.40/0.67 (define @t20 () (@var "L" $$unsorted)) % 0.40/0.67 (define @t21 () (tptp.leq @t18 @t19)) % 0.40/0.67 (define @t22 () (@var "J" $$unsorted)) % 0.40/0.67 (define @t23 () (@var "U2" $$unsorted)) % 0.40/0.67 (define @t24 () (@var "L2" $$unsorted)) % 0.40/0.67 (define @t25 () (@var "U1" $$unsorted)) % 0.40/0.67 (define @t26 () (@var "L1" $$unsorted)) % 0.40/0.67 (define @t27 () (@var "A" $$unsorted)) % 0.40/0.67 (define @t28 () (tptp.trans @t27)) % 0.40/0.67 (define @t29 () (@var "N" $$unsorted)) % 0.40/0.67 (define @t30 () (tptp.leq @t22 @t29)) % 0.40/0.67 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.40/0.67 (define @t32 () (tptp.leq @t18 @t29)) % 0.40/0.67 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.40/0.67 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.40/0.67 (define @t35 () (@list @t18 @t22)) % 0.40/0.67 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.40/0.67 (define @t37 () (@list @t27 @t29)) % 0.40/0.67 (define @t38 () (tptp.inv @t27)) % 0.40/0.67 (define @t39 () (@var "VAL" $$unsorted)) % 0.40/0.67 (define @t40 () (@var "K" $$unsorted)) % 0.40/0.67 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.40/0.67 (define @t42 () (@var "B" $$unsorted)) % 0.40/0.67 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.40/0.67 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.40/0.67 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.40/0.67 (define @t46 () (and @t36 @t45)) % 0.40/0.67 (define @t47 () (@list @t27 @t42 @t29)) % 0.40/0.67 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.40/0.67 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.40/0.67 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.40/0.67 (define @t51 () (@var "M" $$unsorted)) % 0.40/0.67 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.40/0.67 (define @t53 () (@var "E" $$unsorted)) % 0.40/0.67 (define @t54 () (@var "F" $$unsorted)) % 0.40/0.67 (define @t55 () (@var "D" $$unsorted)) % 0.40/0.67 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.40/0.67 (define @t57 () (@var "Body" $$unsorted)) % 0.40/0.67 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.40/0.67 (define @t59 () (@list @t57)) % 0.40/0.67 (define @t60 () (tptp.succ @t11)) % 0.40/0.67 (define @t61 () (tptp.succ @t60)) % 0.40/0.67 (define @t62 () (tptp.succ @t61)) % 0.40/0.67 (define @t63 () (tptp.succ @t62)) % 0.40/0.67 (define @t64 () (tptp.pred @t2)) % 0.40/0.67 (define @t65 () (@var "V" $$unsorted)) % 0.40/0.67 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.40/0.67 (define @t67 () (@var "VAL2" $$unsorted)) % 0.40/0.67 (define @t68 () (not (= @t18 @t19))) % 0.40/0.67 (define @t69 () (@var "J0" $$unsorted)) % 0.40/0.67 (define @t70 () (@var "I0" $$unsorted)) % 0.40/0.67 (define @t71 () (tptp.leq @t70 @t19)) % 0.40/0.67 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.40/0.67 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.40/0.67 (define @t74 () (= tptp.n0 (tptp.times (tptp.divide tptp.n1 tptp.n400) (tptp.a_select2 tptp.sigma tptp.n0)))) % 0.40/0.67 (define @t75 () (= tptp.n1 @t27)) % 0.40/0.67 (define @t76 () (= tptp.n0 @t42)) % 0.40/0.67 (define @t77 () (= tptp.n0 @t27)) % 0.40/0.67 (define @t78 () (= tptp.n5 @t42)) % 0.40/0.67 (define @t79 () (= tptp.n5 @t27)) % 0.40/0.67 (define @t80 () (and @t79 @t78)) % 0.40/0.67 (define @t81 () (not @t80)) % 0.40/0.67 (define @t82 () (= tptp.n4 @t42)) % 0.40/0.67 (define @t83 () (and @t82 @t79)) % 0.40/0.67 (define @t84 () (not @t83)) % 0.40/0.67 (define @t85 () (= tptp.n4 @t27)) % 0.40/0.67 (define @t86 () (and @t85 @t78)) % 0.40/0.67 (define @t87 () (not @t86)) % 0.40/0.67 (define @t88 () (and @t85 @t82)) % 0.40/0.67 (define @t89 () (not @t88)) % 0.40/0.67 (define @t90 () (= tptp.n3 @t42)) % 0.40/0.67 (define @t91 () (and @t90 @t79)) % 0.40/0.67 (define @t92 () (not @t91)) % 0.40/0.67 (define @t93 () (and @t90 @t85)) % 0.40/0.67 (define @t94 () (not @t93)) % 0.40/0.67 (define @t95 () (= tptp.n3 @t27)) % 0.40/0.67 (define @t96 () (and @t95 @t78)) % 0.40/0.67 (define @t97 () (not @t96)) % 0.40/0.67 (define @t98 () (and @t95 @t82)) % 0.40/0.67 (define @t99 () (not @t98)) % 0.40/0.67 (define @t100 () (and @t95 @t90)) % 0.40/0.67 (define @t101 () (not @t100)) % 0.40/0.67 (define @t102 () (= tptp.n2 @t42)) % 0.40/0.67 (define @t103 () (and @t102 @t79)) % 0.40/0.67 (define @t104 () (not @t103)) % 0.40/0.67 (define @t105 () (and @t102 @t85)) % 0.40/0.67 (define @t106 () (not @t105)) % 0.40/0.67 (define @t107 () (and @t102 @t95)) % 0.40/0.67 (define @t108 () (not @t107)) % 0.40/0.67 (define @t109 () (= tptp.n2 @t27)) % 0.40/0.67 (define @t110 () (and @t109 @t78)) % 0.40/0.67 (define @t111 () (not @t110)) % 0.40/0.67 (define @t112 () (and @t109 @t82)) % 0.40/0.67 (define @t113 () (not @t112)) % 0.40/0.67 (define @t114 () (and @t109 @t90)) % 0.40/0.67 (define @t115 () (not @t114)) % 0.40/0.67 (define @t116 () (and @t109 @t102)) % 0.40/0.67 (define @t117 () (not @t116)) % 0.40/0.67 (define @t118 () (= tptp.n1 @t42)) % 0.40/0.67 (define @t119 () (and @t118 @t79)) % 0.40/0.67 (define @t120 () (not @t119)) % 0.40/0.67 (define @t121 () (and @t118 @t85)) % 0.40/0.67 (define @t122 () (not @t121)) % 0.40/0.67 (define @t123 () (and @t118 @t95)) % 0.40/0.67 (define @t124 () (not @t123)) % 0.40/0.67 (define @t125 () (and @t118 @t109)) % 0.40/0.67 (define @t126 () (not @t125)) % 0.40/0.67 (define @t127 () (and @t75 @t78)) % 0.40/0.67 (define @t128 () (not @t127)) % 0.40/0.67 (define @t129 () (and @t75 @t82)) % 0.40/0.67 (define @t130 () (not @t129)) % 0.40/0.67 (define @t131 () (and @t75 @t90)) % 0.40/0.67 (define @t132 () (not @t131)) % 0.40/0.67 (define @t133 () (and @t75 @t102)) % 0.40/0.67 (define @t134 () (not @t133)) % 0.40/0.67 (define @t135 () (and @t75 @t118)) % 0.40/0.67 (define @t136 () (not @t135)) % 0.40/0.67 (define @t137 () (and @t76 @t79)) % 0.40/0.67 (define @t138 () (not @t137)) % 0.40/0.67 (define @t139 () (and @t76 @t85)) % 0.40/0.67 (define @t140 () (not @t139)) % 0.40/0.67 (define @t141 () (and @t76 @t95)) % 0.40/0.67 (define @t142 () (not @t141)) % 0.40/0.67 (define @t143 () (and @t76 @t109)) % 0.40/0.67 (define @t144 () (not @t143)) % 0.40/0.67 (define @t145 () (and @t76 @t75)) % 0.40/0.67 (define @t146 () (not @t145)) % 0.40/0.67 (define @t147 () (and @t77 @t78)) % 0.40/0.67 (define @t148 () (not @t147)) % 0.40/0.67 (define @t149 () (and @t77 @t82)) % 0.40/0.67 (define @t150 () (not @t149)) % 0.40/0.67 (define @t151 () (and @t77 @t90)) % 0.40/0.67 (define @t152 () (not @t151)) % 0.40/0.67 (define @t153 () (and @t77 @t102)) % 0.40/0.67 (define @t154 () (not @t153)) % 0.40/0.67 (define @t155 () (and @t77 @t118)) % 0.40/0.67 (define @t156 () (not @t155)) % 0.40/0.67 (define @t157 () (and @t156 @t154 @t152 @t150 @t148 @t146 @t144 @t142 @t140 @t138 @t136 @t134 @t132 @t130 @t128 @t126 @t124 @t122 @t120 @t117 @t115 @t113 @t111 @t108 @t106 @t104 @t101 @t99 @t97 @t94 @t92 @t89 @t87 @t84 @t81 @t77 @t76 @t75)) % 0.40/0.67 (define @t158 () (=> @t157 @t74)) % 0.40/0.67 (define @t159 () (tptp.leq @t42 tptp.n5)) % 0.40/0.67 (define @t160 () (tptp.leq @t27 tptp.n5)) % 0.40/0.67 (define @t161 () (tptp.leq tptp.n0 @t42)) % 0.40/0.67 (define @t162 () (tptp.leq tptp.n0 @t27)) % 0.40/0.67 (define @t163 () (and @t162 @t161 @t160 @t159)) % 0.40/0.67 (define @t164 () (=> @t163 @t158)) % 0.40/0.67 (define @t165 () (@list @t27 @t42)) % 0.40/0.67 (define @t166 () (forall @t165 @t164)) % 0.40/0.67 (define @t167 () (not @t166)) % 0.40/0.67 (define @t168 () (= @t2 tptp.n4)) % 0.40/0.67 (define @t169 () (= @t2 tptp.n3)) % 0.40/0.67 (define @t170 () (= @t2 tptp.n2)) % 0.40/0.67 (define @t171 () (= @t2 tptp.n1)) % 0.40/0.67 (define @t172 () (= @t2 tptp.n0)) % 0.40/0.67 (define @t173 () (tptp.succ tptp.n0)) % 0.40/0.67 (define @t174 () (tptp.succ @t173)) % 0.40/0.67 (define @t175 () (tptp.succ @t174)) % 0.40/0.67 (define @t176 () (tptp.succ @t175)) % 0.40/0.67 (define @t177 () (= tptp.n0 tptp.n5)) % 0.40/0.67 (define @t178 () (= tptp.n0 tptp.n4)) % 0.40/0.67 (define @t179 () (and @t178 @t177)) % 0.40/0.67 (define @t180 () (= tptp.n0 tptp.n3)) % 0.40/0.67 (define @t181 () (and @t180 @t177)) % 0.40/0.67 (define @t182 () (and @t180 @t178)) % 0.40/0.67 (define @t183 () (= tptp.n0 tptp.n2)) % 0.40/0.67 (define @t184 () (and @t183 @t177)) % 0.40/0.67 (define @t185 () (and @t183 @t178)) % 0.40/0.67 (define @t186 () (and @t183 @t180)) % 0.40/0.67 (define @t187 () (= tptp.n0 tptp.n1)) % 0.40/0.67 (define @t188 () (and @t187 @t177)) % 0.40/0.67 (define @t189 () (and @t187 @t178)) % 0.40/0.67 (define @t190 () (and @t187 @t180)) % 0.40/0.67 (define @t191 () (and @t187 @t183)) % 0.40/0.67 (define @t192 () (not @t187)) % 0.40/0.67 (define @t193 () (not (tptp.leq tptp.n0 tptp.n5))) % 0.40/0.67 (define @t194 () (not (tptp.leq tptp.n0 tptp.n0))) % 0.40/0.67 (define @t195 () (or @t194 @t193 @t192 @t187 @t183 @t180 @t178 @t177 @t191 @t190 @t189 @t188 @t186 @t185 @t184 @t182 @t181 @t179)) % 0.40/0.67 (define @t196 () (or @t194 @t193 @t187 @t183 @t180 @t178 @t177 @t191 @t190 @t189 @t188 @t186 @t185 @t184 @t182 @t181 @t179)) % 0.40/0.67 (define @t197 () (= tptp.n0 tptp.n0)) % 0.40/0.67 (define @t198 () (not @t197)) % 0.40/0.67 (define @t199 () (and @t177 @t177)) % 0.40/0.67 (define @t200 () (and @t178 @t178)) % 0.40/0.67 (define @t201 () (and @t180 @t180)) % 0.40/0.67 (define @t202 () (and @t183 @t183)) % 0.40/0.67 (define @t203 () (and @t187 @t187)) % 0.40/0.67 (define @t204 () (and @t197 @t177)) % 0.40/0.67 (define @t205 () (and @t197 @t178)) % 0.40/0.67 (define @t206 () (and @t197 @t180)) % 0.40/0.67 (define @t207 () (and @t197 @t183)) % 0.40/0.67 (define @t208 () (and @t197 @t187)) % 0.40/0.67 (define @t209 () (or @t194 @t193 @t187 @t183 @t180 @t178 @t177 @t208 @t207 @t206 @t205 @t204 @t203 @t191 @t190 @t189 @t188 @t191 @t190 @t189 @t188 @t202 @t186 @t185 @t184 @t186 @t185 @t184 @t201 @t182 @t181 @t182 @t181 @t200 @t179 @t179 @t199 @t198)) % 0.40/0.67 (define @t210 () (not @t76)) % 0.40/0.67 (define @t211 () (= @t42 tptp.n5)) % 0.40/0.67 (define @t212 () (and @t177 @t211)) % 0.40/0.67 (define @t213 () (= @t42 tptp.n4)) % 0.40/0.67 (define @t214 () (and @t213 @t177)) % 0.40/0.67 (define @t215 () (and @t178 @t211)) % 0.40/0.67 (define @t216 () (and @t178 @t213)) % 0.40/0.67 (define @t217 () (= @t42 tptp.n3)) % 0.40/0.67 (define @t218 () (and @t217 @t177)) % 0.40/0.67 (define @t219 () (and @t217 @t178)) % 0.40/0.67 (define @t220 () (and @t180 @t211)) % 0.40/0.67 (define @t221 () (and @t180 @t213)) % 0.40/0.67 (define @t222 () (and @t180 @t217)) % 0.40/0.67 (define @t223 () (= @t42 tptp.n2)) % 0.40/0.67 (define @t224 () (and @t223 @t177)) % 0.40/0.67 (define @t225 () (and @t223 @t178)) % 0.40/0.67 (define @t226 () (and @t223 @t180)) % 0.40/0.67 (define @t227 () (and @t183 @t211)) % 0.40/0.67 (define @t228 () (and @t183 @t213)) % 0.40/0.67 (define @t229 () (and @t183 @t217)) % 0.40/0.67 (define @t230 () (and @t183 @t223)) % 0.40/0.67 (define @t231 () (= @t42 tptp.n1)) % 0.40/0.67 (define @t232 () (and @t231 @t177)) % 0.40/0.67 (define @t233 () (and @t231 @t178)) % 0.40/0.67 (define @t234 () (and @t231 @t180)) % 0.40/0.67 (define @t235 () (and @t231 @t183)) % 0.40/0.67 (define @t236 () (and @t187 @t211)) % 0.40/0.67 (define @t237 () (and @t187 @t213)) % 0.40/0.67 (define @t238 () (and @t187 @t217)) % 0.40/0.67 (define @t239 () (and @t187 @t223)) % 0.40/0.67 (define @t240 () (and @t187 @t231)) % 0.40/0.67 (define @t241 () (and @t76 @t177)) % 0.40/0.67 (define @t242 () (and @t76 @t178)) % 0.40/0.67 (define @t243 () (and @t76 @t180)) % 0.40/0.67 (define @t244 () (and @t76 @t183)) % 0.40/0.67 (define @t245 () (and @t76 @t187)) % 0.40/0.67 (define @t246 () (not @t159)) % 0.40/0.67 (define @t247 () (not @t161)) % 0.40/0.67 (define @t248 () (@list @t42)) % 0.40/0.67 (define @t249 () (or @t210 @t247 @t246 @t231 @t223 @t217 @t213 @t211 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t222 @t221 @t220 @t219 @t218 @t216 @t215 @t214 @t212 @t210)) % 0.40/0.67 (define @t250 () (or @t247 @t246 @t231 @t223 @t217 @t213 @t211 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t222 @t221 @t220 @t219 @t218 @t216 @t215 @t214 @t212 @t210)) % 0.40/0.67 (define @t251 () (forall @t248 @t250)) % 0.40/0.67 (define @t252 () (or @t194 @t193 @t192 @t251)) % 0.40/0.67 (define @t253 () (or @t194 @t193 @t192 @t250)) % 0.40/0.67 (define @t254 () (or @t194 @t193 @t247 @t246 @t231 @t223 @t217 @t213 @t211 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t222 @t221 @t220 @t219 @t218 @t216 @t215 @t214 @t212 @t210 @t192)) % 0.40/0.67 (define @t255 () (and @t197 @t211)) % 0.40/0.67 (define @t256 () (and @t197 @t213)) % 0.40/0.67 (define @t257 () (and @t197 @t217)) % 0.40/0.67 (define @t258 () (and @t197 @t223)) % 0.40/0.67 (define @t259 () (and @t197 @t231)) % 0.40/0.67 (define @t260 () (or @t194 @t193 @t247 @t246 @t259 @t258 @t257 @t256 @t255 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t222 @t221 @t220 @t219 @t218 @t216 @t215 @t214 @t212 @t198 @t210 @t192)) % 0.40/0.67 (define @t261 () (= @t27 tptp.n1)) % 0.40/0.67 (define @t262 () (not @t261)) % 0.40/0.67 (define @t263 () (not @t77)) % 0.40/0.67 (define @t264 () (= @t27 tptp.n5)) % 0.40/0.67 (define @t265 () (and @t264 @t211)) % 0.40/0.67 (define @t266 () (and @t213 @t264)) % 0.40/0.67 (define @t267 () (= @t27 tptp.n4)) % 0.40/0.67 (define @t268 () (and @t267 @t211)) % 0.40/0.67 (define @t269 () (and @t267 @t213)) % 0.40/0.67 (define @t270 () (and @t217 @t264)) % 0.40/0.67 (define @t271 () (and @t217 @t267)) % 0.40/0.67 (define @t272 () (= @t27 tptp.n3)) % 0.40/0.67 (define @t273 () (and @t272 @t211)) % 0.40/0.67 (define @t274 () (and @t272 @t213)) % 0.40/0.67 (define @t275 () (and @t272 @t217)) % 0.40/0.67 (define @t276 () (and @t223 @t264)) % 0.40/0.67 (define @t277 () (and @t223 @t267)) % 0.40/0.67 (define @t278 () (and @t223 @t272)) % 0.40/0.67 (define @t279 () (= @t27 tptp.n2)) % 0.40/0.67 (define @t280 () (and @t279 @t211)) % 0.40/0.67 (define @t281 () (and @t279 @t213)) % 0.40/0.67 (define @t282 () (and @t279 @t217)) % 0.40/0.67 (define @t283 () (and @t279 @t223)) % 0.40/0.67 (define @t284 () (and @t231 @t264)) % 0.40/0.67 (define @t285 () (and @t231 @t267)) % 0.40/0.67 (define @t286 () (and @t231 @t272)) % 0.40/0.67 (define @t287 () (and @t231 @t279)) % 0.40/0.67 (define @t288 () (and @t261 @t211)) % 0.40/0.67 (define @t289 () (and @t261 @t213)) % 0.40/0.67 (define @t290 () (and @t261 @t217)) % 0.40/0.67 (define @t291 () (and @t261 @t223)) % 0.40/0.67 (define @t292 () (and @t261 @t231)) % 0.40/0.67 (define @t293 () (and @t76 @t264)) % 0.40/0.67 (define @t294 () (and @t76 @t267)) % 0.40/0.67 (define @t295 () (and @t76 @t272)) % 0.40/0.67 (define @t296 () (and @t76 @t279)) % 0.40/0.67 (define @t297 () (and @t76 @t261)) % 0.40/0.67 (define @t298 () (and @t77 @t211)) % 0.40/0.67 (define @t299 () (and @t77 @t213)) % 0.40/0.67 (define @t300 () (and @t77 @t217)) % 0.40/0.67 (define @t301 () (and @t77 @t223)) % 0.40/0.67 (define @t302 () (and @t77 @t231)) % 0.40/0.67 (define @t303 () (not @t160)) % 0.40/0.67 (define @t304 () (not @t162)) % 0.40/0.67 (define @t305 () (@list @t27)) % 0.40/0.67 (define @t306 () (or @t263 @t304 @t303 @t247 @t246 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t277 @t276 @t275 @t274 @t273 @t271 @t270 @t269 @t268 @t266 @t265 @t263 @t210 @t262)) % 0.40/0.67 (define @t307 () (or @t304 @t303 @t247 @t246 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t277 @t276 @t275 @t274 @t273 @t271 @t270 @t269 @t268 @t266 @t265 @t263 @t210 @t262)) % 0.40/0.67 (define @t308 () (forall @t305 @t307)) % 0.40/0.67 (define @t309 () (forall @t248 @t308)) % 0.40/0.67 (define @t310 () (forall (@list @t42 @t27) @t307)) % 0.40/0.67 (define @t311 () (forall @t165 @t307)) % 0.40/0.67 (define @t312 () (or @t74 @t311)) % 0.40/0.67 (define @t313 () (or @t74 @t307)) % 0.40/0.67 (define @t314 () (or @t304 @t247 @t303 @t246 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t277 @t276 @t275 @t274 @t273 @t271 @t270 @t269 @t268 @t266 @t265 @t263 @t210 @t262 @t74)) % 0.40/0.67 (define @t315 () (or @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t277 @t276 @t275 @t274 @t273 @t271 @t270 @t269 @t268 @t266 @t265 @t263 @t210 @t262 @t74)) % 0.40/0.67 (define @t316 () (or @t304 @t247 @t303 @t246)) % 0.40/0.67 (define @t317 () (not @t265)) % 0.40/0.67 (define @t318 () (not @t317)) % 0.40/0.67 (define @t319 () (not @t266)) % 0.40/0.67 (define @t320 () (not @t319)) % 0.40/0.67 (define @t321 () (not @t268)) % 0.40/0.67 (define @t322 () (not @t321)) % 0.40/0.67 (define @t323 () (not @t269)) % 0.40/0.67 (define @t324 () (not @t323)) % 0.40/0.67 (define @t325 () (not @t270)) % 0.40/0.67 (define @t326 () (not @t325)) % 0.40/0.67 (define @t327 () (not @t271)) % 0.40/0.67 (define @t328 () (not @t327)) % 0.40/0.67 (define @t329 () (not @t273)) % 0.40/0.67 (define @t330 () (not @t329)) % 0.40/0.67 (define @t331 () (not @t274)) % 0.40/0.67 (define @t332 () (not @t331)) % 0.40/0.67 (define @t333 () (not @t275)) % 0.40/0.67 (define @t334 () (not @t333)) % 0.40/0.67 (define @t335 () (not @t276)) % 0.40/0.67 (define @t336 () (not @t335)) % 0.40/0.67 (define @t337 () (not @t277)) % 0.40/0.67 (define @t338 () (not @t337)) % 0.40/0.67 (define @t339 () (not @t278)) % 0.40/0.67 (define @t340 () (not @t339)) % 0.40/0.67 (define @t341 () (not @t280)) % 0.40/0.67 (define @t342 () (not @t341)) % 0.40/0.67 (define @t343 () (not @t281)) % 0.40/0.67 (define @t344 () (not @t343)) % 0.40/0.67 (define @t345 () (not @t282)) % 0.40/0.67 (define @t346 () (not @t345)) % 0.40/0.67 (define @t347 () (not @t283)) % 0.40/0.67 (define @t348 () (not @t347)) % 0.40/0.67 (define @t349 () (not @t284)) % 0.40/0.67 (define @t350 () (not @t349)) % 0.40/0.67 (define @t351 () (not @t285)) % 0.40/0.67 (define @t352 () (not @t351)) % 0.40/0.67 (define @t353 () (not @t286)) % 0.40/0.67 (define @t354 () (not @t353)) % 0.40/0.67 (define @t355 () (not @t287)) % 0.40/0.67 (define @t356 () (not @t355)) % 0.40/0.67 (define @t357 () (not @t288)) % 0.40/0.67 (define @t358 () (not @t357)) % 0.40/0.67 (define @t359 () (not @t289)) % 0.40/0.67 (define @t360 () (not @t359)) % 0.40/0.67 (define @t361 () (not @t290)) % 0.40/0.67 (define @t362 () (not @t361)) % 0.40/0.67 (define @t363 () (not @t291)) % 0.40/0.67 (define @t364 () (not @t363)) % 0.40/0.67 (define @t365 () (not @t292)) % 0.40/0.67 (define @t366 () (not @t365)) % 0.40/0.67 (define @t367 () (not @t293)) % 0.40/0.67 (define @t368 () (not @t367)) % 0.40/0.67 (define @t369 () (not @t294)) % 0.40/0.67 (define @t370 () (not @t369)) % 0.40/0.67 (define @t371 () (not @t295)) % 0.40/0.67 (define @t372 () (not @t371)) % 0.40/0.67 (define @t373 () (not @t296)) % 0.40/0.67 (define @t374 () (not @t373)) % 0.40/0.67 (define @t375 () (not @t297)) % 0.40/0.67 (define @t376 () (not @t375)) % 0.40/0.67 (define @t377 () (not @t298)) % 0.40/0.67 (define @t378 () (not @t377)) % 0.40/0.67 (define @t379 () (not @t299)) % 0.40/0.67 (define @t380 () (not @t379)) % 0.40/0.67 (define @t381 () (not @t300)) % 0.40/0.67 (define @t382 () (not @t381)) % 0.40/0.67 (define @t383 () (not @t301)) % 0.40/0.67 (define @t384 () (not @t383)) % 0.40/0.67 (define @t385 () (not @t302)) % 0.40/0.67 (define @t386 () (not @t385)) % 0.40/0.67 (define @t387 () (or @t386 @t384 @t382 @t380 @t378 @t376 @t374 @t372 @t370 @t368 @t366 @t364 @t362 @t360 @t358 @t356 @t354 @t352 @t350 @t348 @t346 @t344 @t342 @t340 @t338 @t336 @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t263 @t210 @t262)) % 0.40/0.67 (define @t388 () (and @t385 @t383 @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261)) % 0.40/0.67 (define @t389 () (=> @t388 @t74)) % 0.40/0.67 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.40/0.67 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.40/0.67 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.40/0.67 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.40/0.67 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.40/0.67 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.40/0.67 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.40/0.67 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.40/0.67 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.40/0.67 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.40/0.67 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.40/0.67 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.40/0.67 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.40/0.67 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.40/0.67 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.40/0.67 (assume @p16 (forall (@list @t18 @t20 @t19 @t17) (=> (and (tptp.leq @t20 @t18) @t21) (= (tptp.a_select2 (tptp.tptp_const_array1 (tptp.dim @t20 @t19) @t17) @t18) @t17)))) % 0.40/0.67 (assume @p17 (forall (@list @t18 @t26 @t25 @t22 @t24 @t23 @t17) (=> (and (tptp.leq @t26 @t18) (tptp.leq @t18 @t25) (tptp.leq @t24 @t22) (tptp.leq @t22 @t23)) (= (tptp.a_select3 (tptp.tptp_const_array2 (tptp.dim @t26 @t25) (tptp.dim @t24 @t23) @t17) @t18 @t22) @t17)))) % 0.40/0.67 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.40/0.67 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.40/0.67 (assume @p20 (forall @t37 (=> @t36 (forall (@list @t18 @t22 @t40 @t39) (=> (and @t33 @t32 @t31 @t30 (tptp.leq tptp.n0 @t40) (tptp.leq @t40 @t29)) (= (tptp.a_select3 @t41 @t18 @t22) (tptp.a_select3 @t41 @t22 @t18))))))) % 0.40/0.67 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.40/0.67 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.40/0.67 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.40/0.67 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.40/0.67 (assume @p25 (forall (@list @t27 @t42 @t13 @t55 @t53 @t54 @t29 @t51) (=> (and (forall @t35 (=> @t52 (= (tptp.a_select3 @t55 @t18 @t22) (tptp.a_select3 @t55 @t22 @t18)))) @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t54 @t18 @t22) (tptp.a_select3 @t54 @t22 @t18))))) (forall @t35 (=> @t34 (= (tptp.a_select3 @t56 @t18 @t22) (tptp.a_select3 @t56 @t22 @t18))))))) % 0.40/0.67 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.40/0.67 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.40/0.67 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.40/0.67 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.40/0.67 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.40/0.67 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.40/0.67 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.40/0.67 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.40/0.67 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.40/0.67 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.40/0.67 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.40/0.67 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.40/0.67 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.40/0.67 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.40/0.67 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.40/0.67 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.40/0.67 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.40/0.67 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.40/0.67 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.40/0.67 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.40/0.67 (assume @p46 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39 @t67) (=> (and @t68 (= @t22 @t65) (= (tptp.a_select3 @t2 @t19 @t65) @t39)) (= (tptp.a_select3 (tptp.tptp_update3 @t2 @t18 @t22 @t67) @t19 @t65) @t39)))) % 0.40/0.67 (assume @p47 (forall (@list @t18 @t22 @t19 @t65 @t2 @t39) (=> (and (forall (@list @t70 @t69) (=> (and @t72 (tptp.leq tptp.n0 @t69) @t71 (tptp.leq @t69 @t65)) (= (tptp.a_select3 @t2 @t70 @t69) @t39))) @t33 @t21 @t31 (tptp.leq @t22 @t65)) (= (tptp.a_select3 @t66 @t18 @t22) @t39)))) % 0.40/0.67 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.40/0.67 (assume @p49 (forall (@list @t18 @t19 @t2 @t39 @t67) (=> (and @t68 (= (tptp.a_select2 @t2 @t19) @t39)) (= (tptp.a_select2 (tptp.tptp_update2 @t2 @t18 @t67) @t19) @t39)))) % 0.40/0.67 (assume @p50 (forall (@list @t18 @t19 @t2 @t39) (=> (and (forall (@list @t70) (=> (and @t72 @t71) (= (tptp.a_select2 @t2 @t70) @t39))) @t33 @t21) (= (tptp.a_select2 @t73 @t18) @t39)))) % 0.40/0.67 (assume @p51 tptp.true) % 0.40/0.67 (assume @p52 (not (= tptp.def tptp.use))) % 0.40/0.67 (assume @p53 @t167) % 0.40/0.67 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.40/0.67 (assume @p55 (tptp.gt tptp.n400 tptp.n4)) % 0.40/0.67 (assume @p56 (tptp.gt tptp.n400 tptp.n5)) % 0.40/0.67 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.40/0.67 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.40/0.67 (assume @p59 (tptp.gt tptp.n400 tptp.tptp_minus_1)) % 0.40/0.67 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.40/0.67 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.40/0.67 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.40/0.67 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.40/0.67 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.40/0.67 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.40/0.67 (assume @p66 (tptp.gt tptp.n400 tptp.n0)) % 0.40/0.67 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.40/0.67 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.40/0.67 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.40/0.67 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.40/0.67 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.40/0.67 (assume @p72 (tptp.gt tptp.n400 tptp.n1)) % 0.40/0.67 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.40/0.67 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.40/0.67 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.40/0.67 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.40/0.67 (assume @p77 (tptp.gt tptp.n400 tptp.n2)) % 0.40/0.67 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.40/0.67 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.40/0.67 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.40/0.67 (assume @p81 (tptp.gt tptp.n400 tptp.n3)) % 0.40/0.67 (assume @p82 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t172 @t171 @t170 @t169 @t168)))) % 0.40/0.67 (assume @p83 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t172 @t171 @t170 @t169 @t168 (= @t2 tptp.n5))))) % 0.40/0.67 (assume @p84 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t172))) % 0.40/0.67 (assume @p85 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t172 @t171)))) % 0.40/0.67 (assume @p86 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t172 @t171 @t170)))) % 0.40/0.67 (assume @p87 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t172 @t171 @t170 @t169)))) % 0.40/0.67 (assume @p88 (= @t176 tptp.n4)) % 0.40/0.67 (assume @p89 (= (tptp.succ @t176) tptp.n5)) % 0.40/0.67 (assume @p90 (= @t173 tptp.n1)) % 0.40/0.67 (assume @p91 (= @t174 tptp.n2)) % 0.40/0.67 (assume @p92 (= @t175 tptp.n3)) % 0.40/0.67 (assume @p93 true) % 0.40/0.67 (step @p94 :rule aci_norm :args ((= (or @t74 @t195) (or @t74 @t194 @t193 @t192 @t187 @t183 @t180 @t178 @t177 @t191 @t190 @t189 @t188 @t186 @t185 @t184 @t182 @t181 @t179)))) % 0.40/0.67 (step @p95 :rule aci_norm :args ((= (or @t194 @t193 @t192 @t196) @t195))) % 0.40/0.67 (step @p96 :rule aci_norm :args ((= (or @t194 @t193 @t187 @t183 @t180 @t178 @t177 @t187 @t183 @t180 @t178 @t177 @t187 @t191 @t190 @t189 @t188 @t191 @t190 @t189 @t188 @t183 @t186 @t185 @t184 @t186 @t185 @t184 @t180 @t182 @t181 @t182 @t181 @t178 @t179 @t179 @t177 false) @t196))) % 0.40/0.67 (step @p97 :rule evaluate :args ((not true))) % 0.40/0.67 (step @p98 :rule eq-refl :args (tptp.n0)) % 0.40/0.67 (step @p99 :rule cong :premises (@p98) :args (@t198)) % 0.40/0.67 (step @p100 :rule trans :premises (@p99 @p97)) % 0.40/0.67 (step @p101 :rule aci_norm :args ((= @t199 @t177))) % 0.40/0.67 (step @p102 :rule refl :args (@t179)) % 0.40/0.67 (step @p103 :rule aci_norm :args ((= @t200 @t178))) % 0.40/0.67 (step @p104 :rule refl :args (@t181)) % 0.40/0.67 (step @p105 :rule refl :args (@t182)) % 0.40/0.67 (step @p106 :rule aci_norm :args ((= @t201 @t180))) % 0.40/0.67 (step @p107 :rule refl :args (@t184)) % 0.40/0.67 (step @p108 :rule refl :args (@t185)) % 0.40/0.67 (step @p109 :rule refl :args (@t186)) % 0.40/0.67 (step @p110 :rule aci_norm :args ((= @t202 @t183))) % 0.40/0.67 (step @p111 :rule refl :args (@t188)) % 0.40/0.67 (step @p112 :rule refl :args (@t189)) % 0.40/0.67 (step @p113 :rule refl :args (@t190)) % 0.40/0.67 (step @p114 :rule refl :args (@t191)) % 0.40/0.67 (step @p115 :rule aci_norm :args ((= @t203 @t187))) % 0.40/0.67 (step @p116 :rule aci_norm :args ((= (and true @t177) @t177))) % 0.40/0.67 (step @p117 :rule refl :args (@t177)) % 0.40/0.67 (step @p118 :rule nary_cong :premises (@p98 @p117) :args (@t204)) % 0.40/0.67 (step @p119 :rule trans :premises (@p118 @p116)) % 0.40/0.67 (step @p120 :rule aci_norm :args ((= (and true @t178) @t178))) % 0.40/0.67 (step @p121 :rule refl :args (@t178)) % 0.40/0.67 (step @p122 :rule nary_cong :premises (@p98 @p121) :args (@t205)) % 0.40/0.67 (step @p123 :rule trans :premises (@p122 @p120)) % 0.40/0.67 (step @p124 :rule aci_norm :args ((= (and true @t180) @t180))) % 0.40/0.67 (step @p125 :rule refl :args (@t180)) % 0.40/0.67 (step @p126 :rule nary_cong :premises (@p98 @p125) :args (@t206)) % 0.40/0.67 (step @p127 :rule trans :premises (@p126 @p124)) % 0.40/0.67 (step @p128 :rule aci_norm :args ((= (and true @t183) @t183))) % 0.40/0.67 (step @p129 :rule refl :args (@t183)) % 0.40/0.67 (step @p130 :rule nary_cong :premises (@p98 @p129) :args (@t207)) % 0.40/0.67 (step @p131 :rule trans :premises (@p130 @p128)) % 0.40/0.67 (step @p132 :rule aci_norm :args ((= (and true @t187) @t187))) % 0.40/0.67 (step @p133 :rule refl :args (@t187)) % 0.40/0.67 (step @p134 :rule nary_cong :premises (@p98 @p133) :args (@t208)) % 0.40/0.67 (step @p135 :rule trans :premises (@p134 @p132)) % 0.40/0.67 (step @p136 :rule refl :args (@t193)) % 0.40/0.67 (step @p137 :rule refl :args (@t194)) % 0.40/0.67 (step @p138 :rule nary_cong :premises (@p137 @p136 @p133 @p129 @p125 @p121 @p117 @p135 @p131 @p127 @p123 @p119 @p115 @p114 @p113 @p112 @p111 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p109 @p108 @p107 @p106 @p105 @p104 @p105 @p104 @p103 @p102 @p102 @p101 @p100) :args (@t209)) % 0.40/0.67 (step @p139 :rule trans :premises (@p138 @p96)) % 0.40/0.67 (step @p140 :rule quant-var-elim-eq :args ((= (forall @t248 (or (not (= @t42 tptp.n0)) @t247 @t246 @t231 @t223 @t217 @t213 @t211 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t222 @t221 @t220 @t219 @t218 @t216 @t215 @t214 @t212 @t210)) @t209))) % 0.40/0.67 (step @p141 :rule refl :args (@t210)) % 0.40/0.67 (step @p142 :rule refl :args (@t212)) % 0.40/0.67 (step @p143 :rule refl :args (@t214)) % 0.40/0.67 (step @p144 :rule refl :args (@t215)) % 0.40/0.67 (step @p145 :rule refl :args (@t216)) % 0.40/0.67 (step @p146 :rule refl :args (@t218)) % 0.40/0.67 (step @p147 :rule refl :args (@t219)) % 0.40/0.67 (step @p148 :rule refl :args (@t220)) % 0.40/0.67 (step @p149 :rule refl :args (@t221)) % 0.40/0.67 (step @p150 :rule refl :args (@t222)) % 0.40/0.67 (step @p151 :rule refl :args (@t224)) % 0.40/0.67 (step @p152 :rule refl :args (@t225)) % 0.40/0.67 (step @p153 :rule refl :args (@t226)) % 0.40/0.67 (step @p154 :rule refl :args (@t227)) % 0.40/0.67 (step @p155 :rule refl :args (@t228)) % 0.40/0.67 (step @p156 :rule refl :args (@t229)) % 0.40/0.67 (step @p157 :rule refl :args (@t230)) % 0.40/0.67 (step @p158 :rule refl :args (@t232)) % 0.40/0.67 (step @p159 :rule refl :args (@t233)) % 0.40/0.67 (step @p160 :rule refl :args (@t234)) % 0.40/0.67 (step @p161 :rule refl :args (@t235)) % 0.40/0.67 (step @p162 :rule refl :args (@t236)) % 0.40/0.67 (step @p163 :rule refl :args (@t237)) % 0.40/0.67 (step @p164 :rule refl :args (@t238)) % 0.40/0.67 (step @p165 :rule refl :args (@t239)) % 0.40/0.67 (step @p166 :rule refl :args (@t240)) % 0.40/0.67 (step @p167 :rule refl :args (@t241)) % 0.40/0.67 (step @p168 :rule refl :args (@t242)) % 0.40/0.67 (step @p169 :rule refl :args (@t243)) % 0.40/0.67 (step @p170 :rule refl :args (@t244)) % 0.40/0.67 (step @p171 :rule refl :args (@t245)) % 0.40/0.67 (step @p172 :rule refl :args (@t211)) % 0.40/0.67 (step @p173 :rule refl :args (@t213)) % 0.40/0.67 (step @p174 :rule refl :args (@t217)) % 0.40/0.67 (step @p175 :rule refl :args (@t223)) % 0.40/0.67 (step @p176 :rule refl :args (@t231)) % 0.40/0.67 (step @p177 :rule refl :args (@t246)) % 0.40/0.67 (step @p178 :rule refl :args (@t247)) % 0.40/0.67 (step @p179 :rule eq-symm :args (tptp.n0 @t42)) % 0.40/0.67 (step @p180 :rule cong :premises (@p179) :args (@t210)) % 0.40/0.67 (step @p181 :rule nary_cong :premises (@p180 @p178 @p177 @p176 @p175 @p174 @p173 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p165 @p164 @p163 @p162 @p161 @p160 @p159 @p158 @p157 @p156 @p155 @p154 @p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p141) :args (@t249)) % 0.40/0.67 (step @p182 :rule aci_norm :args ((= @t250 @t249))) % 0.40/0.67 (step @p183 :rule trans :premises (@p182 @p181)) % 0.40/0.67 (step @p184 :rule cong :premises (@p183) :args (@t251)) % 0.40/0.67 (step @p185 :rule trans :premises (@p184 @p140)) % 0.40/0.67 (step @p186 :rule trans :premises (@p185 @p139)) % 0.40/0.67 (step @p187 :rule refl :args (@t192)) % 0.40/0.67 (step @p188 :rule nary_cong :premises (@p137 @p136 @p187 @p186) :args (@t252)) % 0.40/0.67 (step @p189 :rule trans :premises (@p188 @p95)) % 0.40/0.67 (step @p190 :rule quant-miniscope-or :args ((= (forall @t248 @t253) @t252))) % 0.40/0.67 (step @p191 :rule aci_norm :args ((= @t254 @t253))) % 0.40/0.67 (step @p192 :rule cong :premises (@p191) :args ((forall @t248 @t254))) % 0.40/0.67 (step @p193 :rule trans :premises (@p192 @p190)) % 0.40/0.67 (step @p194 :rule trans :premises (@p193 @p189)) % 0.40/0.67 (step @p195 :rule aci_norm :args ((= (or @t194 @t193 @t247 @t246 @t231 @t223 @t217 @t213 @t211 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t234 @t233 @t232 @t230 @t229 @t228 @t227 @t226 @t225 @t224 @t222 @t221 @t220 @t219 @t218 @t216 @t215 @t214 @t212 false @t210 @t192) @t254))) % 0.40/0.67 (step @p196 :rule refl :args (@t210)) % 0.40/0.67 (step @p197 :rule refl :args (@t212)) % 0.40/0.67 (step @p198 :rule refl :args (@t214)) % 0.40/0.67 (step @p199 :rule refl :args (@t215)) % 0.40/0.67 (step @p200 :rule refl :args (@t216)) % 0.40/0.67 (step @p201 :rule refl :args (@t218)) % 0.40/0.67 (step @p202 :rule refl :args (@t219)) % 0.40/0.67 (step @p203 :rule refl :args (@t220)) % 0.40/0.67 (step @p204 :rule refl :args (@t221)) % 0.40/0.67 (step @p205 :rule refl :args (@t222)) % 0.40/0.67 (step @p206 :rule refl :args (@t224)) % 0.40/0.67 (step @p207 :rule refl :args (@t225)) % 0.40/0.67 (step @p208 :rule refl :args (@t226)) % 0.40/0.67 (step @p209 :rule refl :args (@t227)) % 0.40/0.67 (step @p210 :rule refl :args (@t228)) % 0.40/0.67 (step @p211 :rule refl :args (@t229)) % 0.40/0.67 (step @p212 :rule refl :args (@t230)) % 0.40/0.67 (step @p213 :rule refl :args (@t232)) % 0.40/0.67 (step @p214 :rule refl :args (@t233)) % 0.40/0.67 (step @p215 :rule refl :args (@t234)) % 0.40/0.67 (step @p216 :rule refl :args (@t235)) % 0.40/0.67 (step @p217 :rule refl :args (@t236)) % 0.40/0.67 (step @p218 :rule refl :args (@t237)) % 0.40/0.67 (step @p219 :rule refl :args (@t238)) % 0.40/0.67 (step @p220 :rule refl :args (@t239)) % 0.40/0.67 (step @p221 :rule refl :args (@t240)) % 0.40/0.67 (step @p222 :rule refl :args (@t241)) % 0.40/0.67 (step @p223 :rule refl :args (@t242)) % 0.40/0.67 (step @p224 :rule refl :args (@t243)) % 0.40/0.67 (step @p225 :rule refl :args (@t244)) % 0.40/0.67 (step @p226 :rule refl :args (@t245)) % 0.40/0.67 (step @p227 :rule aci_norm :args ((= (and true @t211) @t211))) % 0.40/0.67 (step @p228 :rule refl :args (@t211)) % 0.40/0.67 (step @p229 :rule nary_cong :premises (@p98 @p228) :args (@t255)) % 0.40/0.67 (step @p230 :rule trans :premises (@p229 @p227)) % 0.40/0.67 (step @p231 :rule aci_norm :args ((= (and true @t213) @t213))) % 0.40/0.67 (step @p232 :rule refl :args (@t213)) % 0.40/0.67 (step @p233 :rule nary_cong :premises (@p98 @p232) :args (@t256)) % 0.40/0.67 (step @p234 :rule trans :premises (@p233 @p231)) % 0.40/0.67 (step @p235 :rule aci_norm :args ((= (and true @t217) @t217))) % 0.40/0.67 (step @p236 :rule refl :args (@t217)) % 0.40/0.67 (step @p237 :rule nary_cong :premises (@p98 @p236) :args (@t257)) % 0.40/0.67 (step @p238 :rule trans :premises (@p237 @p235)) % 0.40/0.67 (step @p239 :rule aci_norm :args ((= (and true @t223) @t223))) % 0.40/0.67 (step @p240 :rule refl :args (@t223)) % 0.40/0.67 (step @p241 :rule nary_cong :premises (@p98 @p240) :args (@t258)) % 0.40/0.67 (step @p242 :rule trans :premises (@p241 @p239)) % 0.40/0.67 (step @p243 :rule aci_norm :args ((= (and true @t231) @t231))) % 0.40/0.67 (step @p244 :rule refl :args (@t231)) % 0.40/0.67 (step @p245 :rule nary_cong :premises (@p98 @p244) :args (@t259)) % 0.40/0.67 (step @p246 :rule trans :premises (@p245 @p243)) % 0.40/0.67 (step @p247 :rule refl :args (@t246)) % 0.40/0.67 (step @p248 :rule refl :args (@t247)) % 0.40/0.67 (step @p249 :rule nary_cong :premises (@p137 @p136 @p248 @p247 @p246 @p242 @p238 @p234 @p230 @p226 @p225 @p224 @p223 @p222 @p221 @p220 @p219 @p218 @p217 @p216 @p215 @p214 @p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p100 @p196 @p187) :args (@t260)) % 0.40/0.67 (step @p250 :rule trans :premises (@p249 @p195)) % 0.40/0.67 (step @p251 :rule cong :premises (@p250) :args ((forall @t248 @t260))) % 0.40/0.67 (step @p252 :rule trans :premises (@p251 @p194)) % 0.40/0.67 (step @p253 :rule quant-var-elim-eq :args ((= (forall @t305 (or (not (= @t27 tptp.n0)) @t304 @t303 @t247 @t246 @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t277 @t276 @t275 @t274 @t273 @t271 @t270 @t269 @t268 @t266 @t265 @t263 @t210 @t262)) @t260))) % 0.40/0.68 (step @p254 :rule refl :args (@t262)) % 0.40/0.68 (step @p255 :rule refl :args (@t263)) % 0.40/0.68 (step @p256 :rule refl :args (@t265)) % 0.40/0.68 (step @p257 :rule refl :args (@t266)) % 0.40/0.68 (step @p258 :rule refl :args (@t268)) % 0.40/0.68 (step @p259 :rule refl :args (@t269)) % 0.40/0.68 (step @p260 :rule refl :args (@t270)) % 0.40/0.68 (step @p261 :rule refl :args (@t271)) % 0.40/0.68 (step @p262 :rule refl :args (@t273)) % 0.40/0.68 (step @p263 :rule refl :args (@t274)) % 0.40/0.68 (step @p264 :rule refl :args (@t275)) % 0.40/0.68 (step @p265 :rule refl :args (@t276)) % 0.40/0.68 (step @p266 :rule refl :args (@t277)) % 0.40/0.68 (step @p267 :rule refl :args (@t278)) % 0.40/0.68 (step @p268 :rule refl :args (@t280)) % 0.40/0.68 (step @p269 :rule refl :args (@t281)) % 0.40/0.68 (step @p270 :rule refl :args (@t282)) % 0.40/0.68 (step @p271 :rule refl :args (@t283)) % 0.40/0.68 (step @p272 :rule refl :args (@t284)) % 0.40/0.68 (step @p273 :rule refl :args (@t285)) % 0.40/0.68 (step @p274 :rule refl :args (@t286)) % 0.40/0.68 (step @p275 :rule refl :args (@t287)) % 0.40/0.68 (step @p276 :rule refl :args (@t288)) % 0.40/0.68 (step @p277 :rule refl :args (@t289)) % 0.40/0.68 (step @p278 :rule refl :args (@t290)) % 0.40/0.68 (step @p279 :rule refl :args (@t291)) % 0.40/0.68 (step @p280 :rule refl :args (@t292)) % 0.40/0.68 (step @p281 :rule refl :args (@t293)) % 0.40/0.68 (step @p282 :rule refl :args (@t294)) % 0.40/0.68 (step @p283 :rule refl :args (@t295)) % 0.40/0.68 (step @p284 :rule refl :args (@t296)) % 0.40/0.68 (step @p285 :rule refl :args (@t297)) % 0.40/0.68 (step @p286 :rule refl :args (@t298)) % 0.40/0.68 (step @p287 :rule refl :args (@t299)) % 0.40/0.68 (step @p288 :rule refl :args (@t300)) % 0.40/0.68 (step @p289 :rule refl :args (@t301)) % 0.40/0.68 (step @p290 :rule refl :args (@t302)) % 0.40/0.68 (step @p291 :rule refl :args (@t303)) % 0.40/0.68 (step @p292 :rule refl :args (@t304)) % 0.40/0.68 (step @p293 :rule eq-symm :args (tptp.n0 @t27)) % 0.40/0.68 (step @p294 :rule cong :premises (@p293) :args (@t263)) % 0.40/0.68 (step @p295 :rule nary_cong :premises (@p294 @p292 @p291 @p178 @p177 @p290 @p289 @p288 @p287 @p286 @p285 @p284 @p283 @p282 @p281 @p280 @p279 @p278 @p277 @p276 @p275 @p274 @p273 @p272 @p271 @p270 @p269 @p268 @p267 @p266 @p265 @p264 @p263 @p262 @p261 @p260 @p259 @p258 @p257 @p256 @p255 @p141 @p254) :args (@t306)) % 0.40/0.68 (step @p296 :rule aci_norm :args ((= @t307 @t306))) % 0.40/0.68 (step @p297 :rule trans :premises (@p296 @p295)) % 0.40/0.68 (step @p298 :rule cong :premises (@p297) :args (@t308)) % 0.40/0.68 (step @p299 :rule trans :premises (@p298 @p253)) % 0.40/0.68 (step @p300 :rule cong :premises (@p299) :args (@t309)) % 0.40/0.68 (step @p301 :rule quant-merge-prenex :args ((= @t309 @t310))) % 0.40/0.68 (step @p302 :rule symm :premises (@p301)) % 0.40/0.68 (step @p303 :rule quant_var_reordering :args ((= @t311 @t310))) % 0.40/0.68 (step @p304 :rule trans :premises (@p303 @p302 @p300)) % 0.40/0.68 (step @p305 :rule trans :premises (@p304 @p252)) % 0.40/0.68 (step @p306 :rule refl :args (@t74)) % 0.40/0.68 (step @p307 :rule nary_cong :premises (@p306 @p305) :args (@t312)) % 0.40/0.68 (step @p308 :rule trans :premises (@p307 @p94)) % 0.40/0.68 (step @p309 :rule quant-miniscope-or :args ((= (forall @t165 @t313) @t312))) % 0.40/0.68 (step @p310 :rule aci_norm :args ((= @t314 @t313))) % 0.40/0.68 (step @p311 :rule cong :premises (@p310) :args ((forall @t165 @t314))) % 0.40/0.68 (step @p312 :rule trans :premises (@p311 @p309)) % 0.40/0.68 (step @p313 :rule trans :premises (@p312 @p308)) % 0.40/0.68 (step @p314 :rule aci_norm :args ((= (or @t316 @t315) @t314))) % 0.40/0.68 (step @p315 :rule aci_norm :args ((= (or (or @t302 @t301 @t300 @t299 @t298 @t297 @t296 @t295 @t294 @t293 @t292 @t291 @t290 @t289 @t288 @t287 @t286 @t285 @t284 @t283 @t282 @t281 @t280 @t278 @t277 @t276 @t275 @t274 @t273 @t271 @t270 @t269 @t268 @t266 @t265 @t263 @t210 @t262) @t74) @t315))) % 0.40/0.68 (step @p316 :rule refl :args (@t74)) % 0.40/0.68 (step @p317 :rule bool-double-not-elim :args (@t265)) % 0.40/0.68 (step @p318 :rule bool-double-not-elim :args (@t266)) % 0.40/0.68 (step @p319 :rule bool-double-not-elim :args (@t268)) % 0.40/0.68 (step @p320 :rule bool-double-not-elim :args (@t269)) % 0.40/0.68 (step @p321 :rule bool-double-not-elim :args (@t270)) % 0.40/0.68 (step @p322 :rule bool-double-not-elim :args (@t271)) % 0.40/0.68 (step @p323 :rule bool-double-not-elim :args (@t273)) % 0.40/0.68 (step @p324 :rule bool-double-not-elim :args (@t274)) % 0.40/0.68 (step @p325 :rule bool-double-not-elim :args (@t275)) % 0.40/0.68 (step @p326 :rule bool-double-not-elim :args (@t276)) % 0.40/0.68 (step @p327 :rule bool-double-not-elim :args (@t277)) % 0.40/0.68 (step @p328 :rule bool-double-not-elim :args (@t278)) % 0.40/0.68 (step @p329 :rule bool-double-not-elim :args (@t280)) % 0.40/0.68 (step @p330 :rule bool-double-not-elim :args (@t281)) % 0.40/0.68 (step @p331 :rule bool-double-not-elim :args (@t282)) % 0.40/0.68 (step @p332 :rule bool-double-not-elim :args (@t283)) % 0.40/0.68 (step @p333 :rule bool-double-not-elim :args (@t284)) % 0.40/0.68 (step @p334 :rule bool-double-not-elim :args (@t285)) % 0.40/0.68 (step @p335 :rule bool-double-not-elim :args (@t286)) % 0.40/0.68 (step @p336 :rule bool-double-not-elim :args (@t287)) % 0.40/0.68 (step @p337 :rule bool-double-not-elim :args (@t288)) % 0.40/0.68 (step @p338 :rule bool-double-not-elim :args (@t289)) % 0.40/0.68 (step @p339 :rule bool-double-not-elim :args (@t290)) % 0.40/0.68 (step @p340 :rule bool-double-not-elim :args (@t291)) % 0.40/0.68 (step @p341 :rule bool-double-not-elim :args (@t292)) % 0.40/0.68 (step @p342 :rule bool-double-not-elim :args (@t293)) % 0.40/0.68 (step @p343 :rule bool-double-not-elim :args (@t294)) % 0.40/0.68 (step @p344 :rule bool-double-not-elim :args (@t295)) % 0.40/0.68 (step @p345 :rule bool-double-not-elim :args (@t296)) % 0.40/0.68 (step @p346 :rule bool-double-not-elim :args (@t297)) % 0.40/0.68 (step @p347 :rule bool-double-not-elim :args (@t298)) % 0.40/0.68 (step @p348 :rule bool-double-not-elim :args (@t299)) % 0.40/0.68 (step @p349 :rule bool-double-not-elim :args (@t300)) % 0.40/0.68 (step @p350 :rule bool-double-not-elim :args (@t301)) % 0.40/0.68 (step @p351 :rule bool-double-not-elim :args (@t302)) % 0.40/0.68 (step @p352 :rule nary_cong :premises (@p351 @p350 @p349 @p348 @p347 @p346 @p345 @p344 @p343 @p342 @p341 @p340 @p339 @p338 @p337 @p336 @p335 @p334 @p333 @p332 @p331 @p330 @p329 @p328 @p327 @p326 @p325 @p324 @p323 @p322 @p321 @p320 @p319 @p318 @p317 @p255 @p141 @p254) :args (@t387)) % 0.40/0.68 (step @p353 :rule aci_norm :args ((= (or @t386 (or @t384 (or @t382 (or @t380 (or @t378 (or @t376 (or @t374 (or @t372 (or @t370 (or @t368 (or @t366 (or @t364 (or @t362 (or @t360 (or @t358 (or @t356 (or @t354 (or @t352 (or @t350 (or @t348 (or @t346 (or @t344 (or @t342 (or @t340 (or @t338 (or @t336 (or @t334 (or @t332 (or @t330 (or @t328 (or @t326 (or @t324 (or @t322 (or @t320 (or @t318 (or @t263 (or @t210 @t262))))))))))))))))))))))))))))))))))))) @t387))) % 0.40/0.68 (step @p354 :rule trans :premises (@p353 @p352)) % 0.40/0.68 (step @p355 :rule bool-and-de-morgan :args (@t76 @t261 true)) % 0.40/0.68 (step @p356 :rule nary_cong :premises (@p255 @p355) :args ((or @t263 @t375))) % 0.40/0.68 (step @p357 :rule bool-and-de-morgan :args (@t77 @t76 (and @t261))) % 0.40/0.68 (step @p358 :rule trans :premises (@p357 @p356)) % 0.40/0.68 (step @p359 :rule refl :args (@t318)) % 0.40/0.68 (step @p360 :rule nary_cong :premises (@p359 @p358) :args ((or @t318 (not (and @t77 @t76 @t261))))) % 0.40/0.68 (step @p361 :rule bool-and-de-morgan :args (@t317 @t77 (and @t76 @t261))) % 0.40/0.68 (step @p362 :rule trans :premises (@p361 @p360)) % 0.40/0.68 (step @p363 :rule refl :args (@t320)) % 0.40/0.68 (step @p364 :rule nary_cong :premises (@p363 @p362) :args ((or @t320 (not (and @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p365 :rule bool-and-de-morgan :args (@t319 @t317 (and @t77 @t76 @t261))) % 0.40/0.68 (step @p366 :rule trans :premises (@p365 @p364)) % 0.40/0.68 (step @p367 :rule refl :args (@t322)) % 0.40/0.68 (step @p368 :rule nary_cong :premises (@p367 @p366) :args ((or @t322 (not (and @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p369 :rule bool-and-de-morgan :args (@t321 @t319 (and @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p370 :rule trans :premises (@p369 @p368)) % 0.40/0.68 (step @p371 :rule refl :args (@t324)) % 0.40/0.68 (step @p372 :rule nary_cong :premises (@p371 @p370) :args ((or @t324 (not (and @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p373 :rule bool-and-de-morgan :args (@t323 @t321 (and @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p374 :rule trans :premises (@p373 @p372)) % 0.40/0.68 (step @p375 :rule refl :args (@t326)) % 0.40/0.68 (step @p376 :rule nary_cong :premises (@p375 @p374) :args ((or @t326 (not (and @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p377 :rule bool-and-de-morgan :args (@t325 @t323 (and @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p378 :rule trans :premises (@p377 @p376)) % 0.40/0.68 (step @p379 :rule refl :args (@t328)) % 0.40/0.68 (step @p380 :rule nary_cong :premises (@p379 @p378) :args ((or @t328 (not (and @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p381 :rule bool-and-de-morgan :args (@t327 @t325 (and @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p382 :rule trans :premises (@p381 @p380)) % 0.40/0.68 (step @p383 :rule refl :args (@t330)) % 0.40/0.68 (step @p384 :rule nary_cong :premises (@p383 @p382) :args ((or @t330 (not (and @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p385 :rule bool-and-de-morgan :args (@t329 @t327 (and @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p386 :rule trans :premises (@p385 @p384)) % 0.40/0.68 (step @p387 :rule refl :args (@t332)) % 0.40/0.68 (step @p388 :rule nary_cong :premises (@p387 @p386) :args ((or @t332 (not (and @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p389 :rule bool-and-de-morgan :args (@t331 @t329 (and @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p390 :rule trans :premises (@p389 @p388)) % 0.40/0.68 (step @p391 :rule refl :args (@t334)) % 0.40/0.68 (step @p392 :rule nary_cong :premises (@p391 @p390) :args ((or @t334 (not (and @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p393 :rule bool-and-de-morgan :args (@t333 @t331 (and @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p394 :rule trans :premises (@p393 @p392)) % 0.40/0.68 (step @p395 :rule refl :args (@t336)) % 0.40/0.68 (step @p396 :rule nary_cong :premises (@p395 @p394) :args ((or @t336 (not (and @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p397 :rule bool-and-de-morgan :args (@t335 @t333 (and @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p398 :rule trans :premises (@p397 @p396)) % 0.40/0.68 (step @p399 :rule refl :args (@t338)) % 0.40/0.68 (step @p400 :rule nary_cong :premises (@p399 @p398) :args ((or @t338 (not (and @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p401 :rule bool-and-de-morgan :args (@t337 @t335 (and @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p402 :rule trans :premises (@p401 @p400)) % 0.40/0.68 (step @p403 :rule refl :args (@t340)) % 0.40/0.68 (step @p404 :rule nary_cong :premises (@p403 @p402) :args ((or @t340 (not (and @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p405 :rule bool-and-de-morgan :args (@t339 @t337 (and @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p406 :rule trans :premises (@p405 @p404)) % 0.40/0.68 (step @p407 :rule refl :args (@t342)) % 0.40/0.68 (step @p408 :rule nary_cong :premises (@p407 @p406) :args ((or @t342 (not (and @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p409 :rule bool-and-de-morgan :args (@t341 @t339 (and @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p410 :rule trans :premises (@p409 @p408)) % 0.40/0.68 (step @p411 :rule refl :args (@t344)) % 0.40/0.68 (step @p412 :rule nary_cong :premises (@p411 @p410) :args ((or @t344 (not (and @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p413 :rule bool-and-de-morgan :args (@t343 @t341 (and @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p414 :rule trans :premises (@p413 @p412)) % 0.40/0.68 (step @p415 :rule refl :args (@t346)) % 0.40/0.68 (step @p416 :rule nary_cong :premises (@p415 @p414) :args ((or @t346 (not (and @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p417 :rule bool-and-de-morgan :args (@t345 @t343 (and @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p418 :rule trans :premises (@p417 @p416)) % 0.40/0.68 (step @p419 :rule refl :args (@t348)) % 0.40/0.68 (step @p420 :rule nary_cong :premises (@p419 @p418) :args ((or @t348 (not (and @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p421 :rule bool-and-de-morgan :args (@t347 @t345 (and @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p422 :rule trans :premises (@p421 @p420)) % 0.40/0.68 (step @p423 :rule refl :args (@t350)) % 0.40/0.68 (step @p424 :rule nary_cong :premises (@p423 @p422) :args ((or @t350 (not (and @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p425 :rule bool-and-de-morgan :args (@t349 @t347 (and @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p426 :rule trans :premises (@p425 @p424)) % 0.40/0.68 (step @p427 :rule refl :args (@t352)) % 0.40/0.68 (step @p428 :rule nary_cong :premises (@p427 @p426) :args ((or @t352 (not (and @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p429 :rule bool-and-de-morgan :args (@t351 @t349 (and @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p430 :rule trans :premises (@p429 @p428)) % 0.40/0.68 (step @p431 :rule refl :args (@t354)) % 0.40/0.68 (step @p432 :rule nary_cong :premises (@p431 @p430) :args ((or @t354 (not (and @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p433 :rule bool-and-de-morgan :args (@t353 @t351 (and @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p434 :rule trans :premises (@p433 @p432)) % 0.40/0.68 (step @p435 :rule refl :args (@t356)) % 0.40/0.68 (step @p436 :rule nary_cong :premises (@p435 @p434) :args ((or @t356 (not (and @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p437 :rule bool-and-de-morgan :args (@t355 @t353 (and @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p438 :rule trans :premises (@p437 @p436)) % 0.40/0.68 (step @p439 :rule refl :args (@t358)) % 0.40/0.68 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or @t358 (not (and @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p441 :rule bool-and-de-morgan :args (@t357 @t355 (and @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p442 :rule trans :premises (@p441 @p440)) % 0.40/0.68 (step @p443 :rule refl :args (@t360)) % 0.40/0.68 (step @p444 :rule nary_cong :premises (@p443 @p442) :args ((or @t360 (not (and @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p445 :rule bool-and-de-morgan :args (@t359 @t357 (and @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p446 :rule trans :premises (@p445 @p444)) % 0.40/0.68 (step @p447 :rule refl :args (@t362)) % 0.40/0.68 (step @p448 :rule nary_cong :premises (@p447 @p446) :args ((or @t362 (not (and @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p449 :rule bool-and-de-morgan :args (@t361 @t359 (and @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p450 :rule trans :premises (@p449 @p448)) % 0.40/0.68 (step @p451 :rule refl :args (@t364)) % 0.40/0.68 (step @p452 :rule nary_cong :premises (@p451 @p450) :args ((or @t364 (not (and @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p453 :rule bool-and-de-morgan :args (@t363 @t361 (and @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p454 :rule trans :premises (@p453 @p452)) % 0.40/0.68 (step @p455 :rule refl :args (@t366)) % 0.40/0.68 (step @p456 :rule nary_cong :premises (@p455 @p454) :args ((or @t366 (not (and @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p457 :rule bool-and-de-morgan :args (@t365 @t363 (and @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p458 :rule trans :premises (@p457 @p456)) % 0.40/0.68 (step @p459 :rule refl :args (@t368)) % 0.40/0.68 (step @p460 :rule nary_cong :premises (@p459 @p458) :args ((or @t368 (not (and @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p461 :rule bool-and-de-morgan :args (@t367 @t365 (and @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p462 :rule trans :premises (@p461 @p460)) % 0.40/0.68 (step @p463 :rule refl :args (@t370)) % 0.40/0.68 (step @p464 :rule nary_cong :premises (@p463 @p462) :args ((or @t370 (not (and @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p465 :rule bool-and-de-morgan :args (@t369 @t367 (and @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p466 :rule trans :premises (@p465 @p464)) % 0.40/0.68 (step @p467 :rule refl :args (@t372)) % 0.40/0.68 (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or @t372 (not (and @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p469 :rule bool-and-de-morgan :args (@t371 @t369 (and @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p470 :rule trans :premises (@p469 @p468)) % 0.40/0.68 (step @p471 :rule refl :args (@t374)) % 0.40/0.68 (step @p472 :rule nary_cong :premises (@p471 @p470) :args ((or @t374 (not (and @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p473 :rule bool-and-de-morgan :args (@t373 @t371 (and @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p474 :rule trans :premises (@p473 @p472)) % 0.40/0.68 (step @p475 :rule refl :args (@t376)) % 0.40/0.68 (step @p476 :rule nary_cong :premises (@p475 @p474) :args ((or @t376 (not (and @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p477 :rule bool-and-de-morgan :args (@t375 @t373 (and @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p478 :rule trans :premises (@p477 @p476)) % 0.40/0.68 (step @p479 :rule refl :args (@t378)) % 0.40/0.68 (step @p480 :rule nary_cong :premises (@p479 @p478) :args ((or @t378 (not (and @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p481 :rule bool-and-de-morgan :args (@t377 @t375 (and @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p482 :rule trans :premises (@p481 @p480)) % 0.40/0.68 (step @p483 :rule refl :args (@t380)) % 0.40/0.68 (step @p484 :rule nary_cong :premises (@p483 @p482) :args ((or @t380 (not (and @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p485 :rule bool-and-de-morgan :args (@t379 @t377 (and @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p486 :rule trans :premises (@p485 @p484)) % 0.40/0.68 (step @p487 :rule refl :args (@t382)) % 0.40/0.68 (step @p488 :rule nary_cong :premises (@p487 @p486) :args ((or @t382 (not (and @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p489 :rule bool-and-de-morgan :args (@t381 @t379 (and @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p490 :rule trans :premises (@p489 @p488)) % 0.40/0.68 (step @p491 :rule refl :args (@t384)) % 0.40/0.68 (step @p492 :rule nary_cong :premises (@p491 @p490) :args ((or @t384 (not (and @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p493 :rule bool-and-de-morgan :args (@t383 @t381 (and @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p494 :rule trans :premises (@p493 @p492)) % 0.40/0.68 (step @p495 :rule refl :args (@t386)) % 0.40/0.68 (step @p496 :rule nary_cong :premises (@p495 @p494) :args ((or @t386 (not (and @t383 @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))))) % 0.40/0.68 (step @p497 :rule bool-and-de-morgan :args (@t385 @t383 (and @t381 @t379 @t377 @t375 @t373 @t371 @t369 @t367 @t365 @t363 @t361 @t359 @t357 @t355 @t353 @t351 @t349 @t347 @t345 @t343 @t341 @t339 @t337 @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t77 @t76 @t261))) % 0.40/0.68 (step @p498 :rule trans :premises (@p497 @p496)) % 0.40/0.68 (step @p499 :rule trans :premises (@p498 @p354)) % 0.40/0.68 (step @p500 :rule nary_cong :premises (@p499 @p316) :args ((or (not @t388) @t74))) % 0.40/0.68 (step @p501 :rule trans :premises (@p500 @p315)) % 0.40/0.68 (step @p502 :rule bool-impl-elim :args (@t388 @t74)) % 0.40/0.68 (step @p503 :rule trans :premises (@p502 @p501)) % 0.40/0.68 (step @p504 :rule aci_norm :args ((= (or @t304 (or @t247 (or @t303 @t246))) @t316))) % 0.40/0.68 (step @p505 :rule bool-and-de-morgan :args (@t160 @t159 true)) % 0.40/0.68 (step @p506 :rule nary_cong :premises (@p178 @p505) :args ((or @t247 (not (and @t160 @t159))))) % 0.40/0.68 (step @p507 :rule bool-and-de-morgan :args (@t161 @t160 (and @t159))) % 0.40/0.68 (step @p508 :rule trans :premises (@p507 @p506)) % 0.40/0.68 (step @p509 :rule nary_cong :premises (@p292 @p508) :args ((or @t304 (not (and @t161 @t160 @t159))))) % 0.40/0.68 (step @p510 :rule bool-and-de-morgan :args (@t162 @t161 (and @t160 @t159))) % 0.40/0.68 (step @p511 :rule trans :premises (@p510 @p509)) % 0.40/0.68 (step @p512 :rule trans :premises (@p511 @p504)) % 0.40/0.68 (step @p513 :rule nary_cong :premises (@p512 @p503) :args ((or (not @t163) @t389))) % 0.40/0.68 (step @p514 :rule trans :premises (@p513 @p314)) % 0.40/0.68 (step @p515 :rule bool-impl-elim :args (@t163 @t389)) % 0.40/0.68 (step @p516 :rule trans :premises (@p515 @p514)) % 0.40/0.68 (step @p517 :rule cong :premises (@p516) :args ((forall @t165 (=> @t163 @t389)))) % 0.40/0.68 (step @p518 :rule trans :premises (@p517 @p313)) % 0.40/0.68 (step @p519 :rule eq-symm :args (tptp.n1 @t27)) % 0.40/0.68 (step @p520 :rule refl :args (@t76)) % 0.40/0.68 (step @p521 :rule refl :args (@t77)) % 0.40/0.68 (step @p522 :rule eq-symm :args (tptp.n5 @t42)) % 0.40/0.68 (step @p523 :rule eq-symm :args (tptp.n5 @t27)) % 0.40/0.68 (step @p524 :rule nary_cong :premises (@p523 @p522) :args (@t80)) % 0.40/0.68 (step @p525 :rule cong :premises (@p524) :args (@t81)) % 0.40/0.68 (step @p526 :rule eq-symm :args (tptp.n4 @t42)) % 0.40/0.68 (step @p527 :rule nary_cong :premises (@p526 @p523) :args (@t83)) % 0.40/0.68 (step @p528 :rule cong :premises (@p527) :args (@t84)) % 0.40/0.68 (step @p529 :rule eq-symm :args (tptp.n4 @t27)) % 0.40/0.68 (step @p530 :rule nary_cong :premises (@p529 @p522) :args (@t86)) % 0.40/0.68 (step @p531 :rule cong :premises (@p530) :args (@t87)) % 0.40/0.68 (step @p532 :rule nary_cong :premises (@p529 @p526) :args (@t88)) % 0.40/0.68 (step @p533 :rule cong :premises (@p532) :args (@t89)) % 0.40/0.68 (step @p534 :rule eq-symm :args (tptp.n3 @t42)) % 0.40/0.68 (step @p535 :rule nary_cong :premises (@p534 @p523) :args (@t91)) % 0.40/0.68 (step @p536 :rule cong :premises (@p535) :args (@t92)) % 0.40/0.68 (step @p537 :rule nary_cong :premises (@p534 @p529) :args (@t93)) % 0.40/0.68 (step @p538 :rule cong :premises (@p537) :args (@t94)) % 0.40/0.68 (step @p539 :rule eq-symm :args (tptp.n3 @t27)) % 0.40/0.68 (step @p540 :rule nary_cong :premises (@p539 @p522) :args (@t96)) % 0.40/0.68 (step @p541 :rule cong :premises (@p540) :args (@t97)) % 0.40/0.68 (step @p542 :rule nary_cong :premises (@p539 @p526) :args (@t98)) % 0.40/0.68 (step @p543 :rule cong :premises (@p542) :args (@t99)) % 0.40/0.68 (step @p544 :rule nary_cong :premises (@p539 @p534) :args (@t100)) % 0.40/0.68 (step @p545 :rule cong :premises (@p544) :args (@t101)) % 0.40/0.68 (step @p546 :rule eq-symm :args (tptp.n2 @t42)) % 0.40/0.68 (step @p547 :rule nary_cong :premises (@p546 @p523) :args (@t103)) % 0.40/0.68 (step @p548 :rule cong :premises (@p547) :args (@t104)) % 0.40/0.68 (step @p549 :rule nary_cong :premises (@p546 @p529) :args (@t105)) % 0.40/0.68 (step @p550 :rule cong :premises (@p549) :args (@t106)) % 0.40/0.68 (step @p551 :rule nary_cong :premises (@p546 @p539) :args (@t107)) % 0.40/0.68 (step @p552 :rule cong :premises (@p551) :args (@t108)) % 0.40/0.68 (step @p553 :rule eq-symm :args (tptp.n2 @t27)) % 0.40/0.68 (step @p554 :rule nary_cong :premises (@p553 @p522) :args (@t110)) % 0.40/0.68 (step @p555 :rule cong :premises (@p554) :args (@t111)) % 0.40/0.68 (step @p556 :rule nary_cong :premises (@p553 @p526) :args (@t112)) % 0.40/0.68 (step @p557 :rule cong :premises (@p556) :args (@t113)) % 0.40/0.68 (step @p558 :rule nary_cong :premises (@p553 @p534) :args (@t114)) % 0.40/0.68 (step @p559 :rule cong :premises (@p558) :args (@t115)) % 0.40/0.68 (step @p560 :rule nary_cong :premises (@p553 @p546) :args (@t116)) % 0.40/0.68 (step @p561 :rule cong :premises (@p560) :args (@t117)) % 0.40/0.68 (step @p562 :rule eq-symm :args (tptp.n1 @t42)) % 0.40/0.68 (step @p563 :rule nary_cong :premises (@p562 @p523) :args (@t119)) % 0.40/0.68 (step @p564 :rule cong :premises (@p563) :args (@t120)) % 0.40/0.68 (step @p565 :rule nary_cong :premises (@p562 @p529) :args (@t121)) % 0.40/0.68 (step @p566 :rule cong :premises (@p565) :args (@t122)) % 0.40/0.68 (step @p567 :rule nary_cong :premises (@p562 @p539) :args (@t123)) % 0.40/0.68 (step @p568 :rule cong :premises (@p567) :args (@t124)) % 0.40/0.68 (step @p569 :rule nary_cong :premises (@p562 @p553) :args (@t125)) % 0.40/0.68 (step @p570 :rule cong :premises (@p569) :args (@t126)) % 0.40/0.68 (step @p571 :rule nary_cong :premises (@p519 @p522) :args (@t127)) % 0.40/0.68 (step @p572 :rule cong :premises (@p571) :args (@t128)) % 0.40/0.68 (step @p573 :rule nary_cong :premises (@p519 @p526) :args (@t129)) % 0.40/0.68 (step @p574 :rule cong :premises (@p573) :args (@t130)) % 0.40/0.68 (step @p575 :rule nary_cong :premises (@p519 @p534) :args (@t131)) % 0.40/0.68 (step @p576 :rule cong :premises (@p575) :args (@t132)) % 0.40/0.68 (step @p577 :rule nary_cong :premises (@p519 @p546) :args (@t133)) % 0.40/0.68 (step @p578 :rule cong :premises (@p577) :args (@t134)) % 0.40/0.68 (step @p579 :rule nary_cong :premises (@p519 @p562) :args (@t135)) % 0.40/0.68 (step @p580 :rule cong :premises (@p579) :args (@t136)) % 0.40/0.68 (step @p581 :rule nary_cong :premises (@p520 @p523) :args (@t137)) % 0.40/0.68 (step @p582 :rule cong :premises (@p581) :args (@t138)) % 0.40/0.68 (step @p583 :rule nary_cong :premises (@p520 @p529) :args (@t139)) % 0.40/0.68 (step @p584 :rule cong :premises (@p583) :args (@t140)) % 0.40/0.68 (step @p585 :rule nary_cong :premises (@p520 @p539) :args (@t141)) % 0.40/0.68 (step @p586 :rule cong :premises (@p585) :args (@t142)) % 0.40/0.68 (step @p587 :rule nary_cong :premises (@p520 @p553) :args (@t143)) % 0.40/0.68 (step @p588 :rule cong :premises (@p587) :args (@t144)) % 0.40/0.68 (step @p589 :rule nary_cong :premises (@p520 @p519) :args (@t145)) % 0.40/0.68 (step @p590 :rule cong :premises (@p589) :args (@t146)) % 0.40/0.68 (step @p591 :rule nary_cong :premises (@p521 @p522) :args (@t147)) % 0.40/0.68 (step @p592 :rule cong :premises (@p591) :args (@t148)) % 0.40/0.68 (step @p593 :rule nary_cong :premises (@p521 @p526) :args (@t149)) % 0.40/0.68 (step @p594 :rule cong :premises (@p593) :args (@t150)) % 0.40/0.68 (step @p595 :rule nary_cong :premises (@p521 @p534) :args (@t151)) % 0.40/0.68 (step @p596 :rule cong :premises (@p595) :args (@t152)) % 0.40/0.68 (step @p597 :rule nary_cong :premises (@p521 @p546) :args (@t153)) % 0.40/0.68 (step @p598 :rule cong :premises (@p597) :args (@t154)) % 0.40/0.68 (step @p599 :rule nary_cong :premises (@p521 @p562) :args (@t155)) % 0.40/0.68 (step @p600 :rule cong :premises (@p599) :args (@t156)) % 0.40/0.68 (step @p601 :rule nary_cong :premises (@p600 @p598 @p596 @p594 @p592 @p590 @p588 @p586 @p584 @p582 @p580 @p578 @p576 @p574 @p572 @p570 @p568 @p566 @p564 @p561 @p559 @p557 @p555 @p552 @p550 @p548 @p545 @p543 @p541 @p538 @p536 @p533 @p531 @p528 @p525 @p521 @p520 @p519) :args (@t157)) % 0.40/0.68 (step @p602 :rule cong :premises (@p601 @p306) :args (@t158)) % 0.40/0.68 (step @p603 :rule refl :args (@t163)) % 0.40/0.68 (step @p604 :rule cong :premises (@p603 @p602) :args (@t164)) % 0.40/0.68 (step @p605 :rule cong :premises (@p604) :args (@t166)) % 0.40/0.68 (step @p606 :rule trans :premises (@p605 @p518)) % 0.40/0.68 (step @p607 :rule cong :premises (@p606) :args (@t167)) % 0.40/0.68 (step @p608 :rule eq_resolve :premises (@p53 @p607)) % 0.40/0.68 (step @p609 :rule not_or_elim :premises (@p608) :args (3)) % 0.40/0.68 (step @p610 :rule not_not_elim :premises (@p609)) % 0.40/0.68 (step @p611 :rule not_or_elim :premises (@p608) :args (4)) % 0.40/0.68 (step @p612 false :rule chain_m_resolution :premises (@p611 @p610) :args (false (@list false) (@list @t187))) % 0.40/0.68 ) % 0.40/0.68 % SZS output end Proof % 0.40/0.68 % cvc5 exiting %------------------------------------------------------------------------------