%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV214+1 : TPTP v9.2.1. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n013.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 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV214+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:59:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.times (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.n400 $$unsorted) % 0.45/0.63 (declare-const tptp.def $$unsorted) % 0.45/0.63 (declare-const tptp.use $$unsorted) % 0.45/0.63 (declare-const tptp.true Bool) % 0.45/0.63 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sigma $$unsorted) % 0.45/0.63 (declare-const tptp.n3 $$unsorted) % 0.45/0.63 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.45/0.63 (declare-const tptp.n0 $$unsorted) % 0.45/0.63 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.n1 $$unsorted) % 0.45/0.63 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.n5 $$unsorted) % 0.45/0.63 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.45/0.63 (declare-const tptp.n4 $$unsorted) % 0.45/0.63 (declare-const tptp.n2 $$unsorted) % 0.45/0.63 (define @t1 () (@var "Y" $$unsorted)) % 0.45/0.63 (define @t2 () (@var "X" $$unsorted)) % 0.45/0.63 (define @t3 () (= @t2 @t1)) % 0.45/0.63 (define @t4 () (tptp.gt @t1 @t2)) % 0.45/0.63 (define @t5 () (tptp.gt @t2 @t1)) % 0.45/0.63 (define @t6 () (@list @t2 @t1)) % 0.45/0.63 (define @t7 () (@var "Z" $$unsorted)) % 0.45/0.63 (define @t8 () (@list @t2 @t1 @t7)) % 0.45/0.63 (define @t9 () (@list @t2)) % 0.45/0.63 (define @t10 () (tptp.leq @t2 @t1)) % 0.45/0.63 (define @t11 () (tptp.succ @t2)) % 0.45/0.63 (define @t12 () (tptp.succ @t1)) % 0.45/0.63 (define @t13 () (@var "C" $$unsorted)) % 0.45/0.63 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.45/0.63 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.45/0.63 (define @t16 () (@list @t2 @t13)) % 0.45/0.63 (define @t17 () (@var "Val" $$unsorted)) % 0.45/0.63 (define @t18 () (@var "I" $$unsorted)) % 0.45/0.63 (define @t19 () (@var "U" $$unsorted)) % 0.45/0.63 (define @t20 () (@var "L" $$unsorted)) % 0.45/0.63 (define @t21 () (tptp.leq @t18 @t19)) % 0.45/0.63 (define @t22 () (@var "J" $$unsorted)) % 0.45/0.63 (define @t23 () (@var "U2" $$unsorted)) % 0.45/0.63 (define @t24 () (@var "L2" $$unsorted)) % 0.45/0.63 (define @t25 () (@var "U1" $$unsorted)) % 0.45/0.63 (define @t26 () (@var "L1" $$unsorted)) % 0.45/0.63 (define @t27 () (@var "A" $$unsorted)) % 0.45/0.63 (define @t28 () (tptp.trans @t27)) % 0.45/0.63 (define @t29 () (@var "N" $$unsorted)) % 0.45/0.63 (define @t30 () (tptp.leq @t22 @t29)) % 0.45/0.63 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.45/0.63 (define @t32 () (tptp.leq @t18 @t29)) % 0.45/0.63 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.45/0.63 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.45/0.63 (define @t35 () (@list @t18 @t22)) % 0.45/0.63 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.45/0.63 (define @t37 () (@list @t27 @t29)) % 0.45/0.63 (define @t38 () (tptp.inv @t27)) % 0.45/0.63 (define @t39 () (@var "VAL" $$unsorted)) % 0.45/0.63 (define @t40 () (@var "K" $$unsorted)) % 0.45/0.63 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.45/0.63 (define @t42 () (@var "B" $$unsorted)) % 0.45/0.63 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.45/0.63 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.45/0.63 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.45/0.63 (define @t46 () (and @t36 @t45)) % 0.45/0.63 (define @t47 () (@list @t27 @t42 @t29)) % 0.45/0.63 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.45/0.63 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.45/0.63 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.45/0.63 (define @t51 () (@var "M" $$unsorted)) % 0.45/0.63 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.45/0.63 (define @t53 () (@var "E" $$unsorted)) % 0.45/0.63 (define @t54 () (@var "F" $$unsorted)) % 0.45/0.63 (define @t55 () (@var "D" $$unsorted)) % 0.45/0.63 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.45/0.63 (define @t57 () (@var "Body" $$unsorted)) % 0.45/0.63 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.45/0.63 (define @t59 () (@list @t57)) % 0.45/0.63 (define @t60 () (tptp.succ @t11)) % 0.45/0.63 (define @t61 () (tptp.succ @t60)) % 0.45/0.63 (define @t62 () (tptp.succ @t61)) % 0.45/0.63 (define @t63 () (tptp.succ @t62)) % 0.45/0.63 (define @t64 () (tptp.pred @t2)) % 0.45/0.63 (define @t65 () (@var "V" $$unsorted)) % 0.45/0.63 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.45/0.63 (define @t67 () (@var "VAL2" $$unsorted)) % 0.45/0.63 (define @t68 () (not (= @t18 @t19))) % 0.45/0.63 (define @t69 () (@var "J0" $$unsorted)) % 0.45/0.63 (define @t70 () (@var "I0" $$unsorted)) % 0.45/0.63 (define @t71 () (tptp.leq @t70 @t19)) % 0.45/0.63 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.45/0.63 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.45/0.63 (define @t74 () (= tptp.n0 (tptp.times (tptp.divide tptp.n1 tptp.n400) (tptp.a_select2 tptp.sigma tptp.n1)))) % 0.45/0.63 (define @t75 () (= tptp.n5 @t42)) % 0.45/0.63 (define @t76 () (= tptp.n2 @t27)) % 0.45/0.63 (define @t77 () (= tptp.n1 @t42)) % 0.45/0.63 (define @t78 () (= tptp.n1 @t27)) % 0.45/0.63 (define @t79 () (= tptp.n5 @t27)) % 0.45/0.63 (define @t80 () (and @t79 @t75)) % 0.45/0.63 (define @t81 () (not @t80)) % 0.45/0.63 (define @t82 () (= tptp.n4 @t42)) % 0.45/0.63 (define @t83 () (and @t82 @t79)) % 0.45/0.63 (define @t84 () (not @t83)) % 0.45/0.63 (define @t85 () (= tptp.n4 @t27)) % 0.45/0.63 (define @t86 () (and @t85 @t75)) % 0.45/0.63 (define @t87 () (not @t86)) % 0.45/0.63 (define @t88 () (and @t85 @t82)) % 0.45/0.63 (define @t89 () (not @t88)) % 0.45/0.63 (define @t90 () (= tptp.n3 @t42)) % 0.45/0.63 (define @t91 () (and @t90 @t79)) % 0.45/0.63 (define @t92 () (not @t91)) % 0.45/0.63 (define @t93 () (and @t90 @t85)) % 0.45/0.63 (define @t94 () (not @t93)) % 0.45/0.63 (define @t95 () (= tptp.n3 @t27)) % 0.45/0.63 (define @t96 () (and @t95 @t75)) % 0.45/0.63 (define @t97 () (not @t96)) % 0.45/0.63 (define @t98 () (and @t95 @t82)) % 0.45/0.63 (define @t99 () (not @t98)) % 0.45/0.63 (define @t100 () (and @t95 @t90)) % 0.45/0.63 (define @t101 () (not @t100)) % 0.45/0.63 (define @t102 () (= tptp.n2 @t42)) % 0.45/0.63 (define @t103 () (and @t102 @t79)) % 0.45/0.63 (define @t104 () (not @t103)) % 0.45/0.63 (define @t105 () (and @t102 @t85)) % 0.45/0.63 (define @t106 () (not @t105)) % 0.45/0.63 (define @t107 () (and @t102 @t95)) % 0.45/0.63 (define @t108 () (not @t107)) % 0.45/0.63 (define @t109 () (and @t76 @t75)) % 0.45/0.63 (define @t110 () (not @t109)) % 0.45/0.63 (define @t111 () (and @t76 @t82)) % 0.45/0.63 (define @t112 () (not @t111)) % 0.45/0.63 (define @t113 () (and @t76 @t90)) % 0.45/0.63 (define @t114 () (not @t113)) % 0.45/0.63 (define @t115 () (and @t76 @t102)) % 0.45/0.63 (define @t116 () (not @t115)) % 0.45/0.63 (define @t117 () (and @t77 @t79)) % 0.45/0.63 (define @t118 () (not @t117)) % 0.45/0.63 (define @t119 () (and @t77 @t85)) % 0.45/0.63 (define @t120 () (not @t119)) % 0.45/0.63 (define @t121 () (and @t77 @t95)) % 0.45/0.63 (define @t122 () (not @t121)) % 0.45/0.63 (define @t123 () (and @t77 @t76)) % 0.45/0.63 (define @t124 () (not @t123)) % 0.45/0.63 (define @t125 () (and @t78 @t75)) % 0.45/0.63 (define @t126 () (not @t125)) % 0.45/0.63 (define @t127 () (and @t78 @t82)) % 0.45/0.63 (define @t128 () (not @t127)) % 0.45/0.63 (define @t129 () (and @t78 @t90)) % 0.45/0.63 (define @t130 () (not @t129)) % 0.45/0.63 (define @t131 () (and @t78 @t102)) % 0.45/0.63 (define @t132 () (not @t131)) % 0.45/0.63 (define @t133 () (= tptp.n0 @t42)) % 0.45/0.63 (define @t134 () (and @t133 @t79)) % 0.45/0.63 (define @t135 () (not @t134)) % 0.45/0.63 (define @t136 () (and @t133 @t85)) % 0.45/0.63 (define @t137 () (not @t136)) % 0.45/0.63 (define @t138 () (and @t133 @t95)) % 0.45/0.63 (define @t139 () (not @t138)) % 0.45/0.63 (define @t140 () (= tptp.n0 @t27)) % 0.45/0.63 (define @t141 () (and @t140 @t75)) % 0.45/0.63 (define @t142 () (not @t141)) % 0.45/0.63 (define @t143 () (and @t140 @t82)) % 0.45/0.63 (define @t144 () (not @t143)) % 0.45/0.63 (define @t145 () (and @t140 @t90)) % 0.45/0.63 (define @t146 () (not @t145)) % 0.45/0.63 (define @t147 () (and @t140 @t102)) % 0.45/0.63 (define @t148 () (not @t147)) % 0.45/0.63 (define @t149 () (and @t148 @t146 @t144 @t142 @t139 @t137 @t135 @t132 @t130 @t128 @t126 @t124 @t122 @t120 @t118 @t116 @t114 @t112 @t110 @t108 @t106 @t104 @t101 @t99 @t97 @t94 @t92 @t89 @t87 @t84 @t81 @t78 @t77 @t76 @t75)) % 0.45/0.63 (define @t150 () (=> @t149 @t74)) % 0.45/0.63 (define @t151 () (tptp.leq @t42 tptp.n5)) % 0.45/0.63 (define @t152 () (tptp.leq @t27 tptp.n5)) % 0.45/0.63 (define @t153 () (tptp.leq tptp.n0 @t42)) % 0.45/0.63 (define @t154 () (tptp.leq tptp.n0 @t27)) % 0.45/0.63 (define @t155 () (and @t154 @t153 @t152 @t151)) % 0.45/0.63 (define @t156 () (=> @t155 @t150)) % 0.45/0.63 (define @t157 () (@list @t27 @t42)) % 0.45/0.63 (define @t158 () (forall @t157 @t156)) % 0.45/0.63 (define @t159 () (not @t158)) % 0.45/0.63 (define @t160 () (= @t2 tptp.n4)) % 0.45/0.63 (define @t161 () (= @t2 tptp.n3)) % 0.45/0.63 (define @t162 () (= @t2 tptp.n2)) % 0.45/0.63 (define @t163 () (= @t2 tptp.n1)) % 0.45/0.63 (define @t164 () (= @t2 tptp.n0)) % 0.45/0.63 (define @t165 () (tptp.succ tptp.n0)) % 0.45/0.63 (define @t166 () (tptp.succ @t165)) % 0.45/0.63 (define @t167 () (tptp.succ @t166)) % 0.45/0.63 (define @t168 () (tptp.succ @t167)) % 0.45/0.63 (define @t169 () (@list @t42)) % 0.45/0.63 (define @t170 () (= @t42 tptp.n4)) % 0.45/0.63 (define @t171 () (= @t42 tptp.n3)) % 0.45/0.63 (define @t172 () (= @t42 tptp.n2)) % 0.45/0.63 (define @t173 () (= tptp.n1 tptp.n5)) % 0.45/0.63 (define @t174 () (and @t133 @t173)) % 0.45/0.63 (define @t175 () (= tptp.n1 tptp.n4)) % 0.45/0.63 (define @t176 () (and @t133 @t175)) % 0.45/0.63 (define @t177 () (= tptp.n1 tptp.n3)) % 0.45/0.63 (define @t178 () (and @t133 @t177)) % 0.45/0.63 (define @t179 () (= @t42 tptp.n5)) % 0.45/0.63 (define @t180 () (= tptp.n0 tptp.n1)) % 0.45/0.63 (define @t181 () (and @t180 @t179)) % 0.45/0.63 (define @t182 () (and @t180 @t170)) % 0.45/0.63 (define @t183 () (and @t180 @t171)) % 0.45/0.63 (define @t184 () (and @t180 @t172)) % 0.45/0.63 (define @t185 () (not @t151)) % 0.45/0.63 (define @t186 () (not @t153)) % 0.45/0.63 (define @t187 () (not (tptp.leq tptp.n1 tptp.n5))) % 0.45/0.63 (define @t188 () (not (tptp.leq tptp.n0 tptp.n1))) % 0.45/0.63 (define @t189 () (= tptp.n1 tptp.n2)) % 0.45/0.63 (define @t190 () (not @t189)) % 0.45/0.63 (define @t191 () (= @t42 tptp.n1)) % 0.45/0.63 (define @t192 () (not @t191)) % 0.45/0.63 (define @t193 () (and @t173 @t179)) % 0.45/0.63 (define @t194 () (and @t170 @t173)) % 0.45/0.63 (define @t195 () (and @t175 @t179)) % 0.45/0.63 (define @t196 () (and @t175 @t170)) % 0.45/0.63 (define @t197 () (and @t171 @t173)) % 0.45/0.63 (define @t198 () (and @t171 @t175)) % 0.45/0.63 (define @t199 () (and @t177 @t179)) % 0.45/0.63 (define @t200 () (and @t177 @t170)) % 0.45/0.63 (define @t201 () (and @t177 @t171)) % 0.45/0.63 (define @t202 () (and @t172 @t173)) % 0.45/0.63 (define @t203 () (and @t172 @t175)) % 0.45/0.63 (define @t204 () (and @t172 @t177)) % 0.45/0.63 (define @t205 () (and @t189 @t179)) % 0.45/0.63 (define @t206 () (and @t189 @t170)) % 0.45/0.63 (define @t207 () (and @t189 @t171)) % 0.45/0.63 (define @t208 () (and @t189 @t172)) % 0.45/0.63 (define @t209 () (and @t191 @t173)) % 0.45/0.63 (define @t210 () (and @t191 @t175)) % 0.45/0.63 (define @t211 () (and @t191 @t177)) % 0.45/0.63 (define @t212 () (and @t191 @t189)) % 0.45/0.63 (define @t213 () (not @t179)) % 0.45/0.63 (define @t214 () (or @t188 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t178 @t176 @t174 @t172 @t171 @t170 @t179 @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t190 @t213)) % 0.45/0.63 (define @t215 () (= tptp.n1 tptp.n1)) % 0.45/0.63 (define @t216 () (not @t215)) % 0.45/0.63 (define @t217 () (and @t215 @t179)) % 0.45/0.63 (define @t218 () (and @t215 @t170)) % 0.45/0.63 (define @t219 () (and @t215 @t171)) % 0.45/0.63 (define @t220 () (and @t215 @t172)) % 0.45/0.63 (define @t221 () (or @t188 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t178 @t176 @t174 @t220 @t219 @t218 @t217 @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t216 @t192 @t190 @t213)) % 0.45/0.63 (define @t222 () (= @t27 tptp.n2)) % 0.45/0.63 (define @t223 () (not @t222)) % 0.45/0.63 (define @t224 () (= @t27 tptp.n1)) % 0.45/0.63 (define @t225 () (not @t224)) % 0.45/0.63 (define @t226 () (= @t27 tptp.n5)) % 0.45/0.63 (define @t227 () (and @t226 @t179)) % 0.45/0.63 (define @t228 () (and @t170 @t226)) % 0.45/0.63 (define @t229 () (= @t27 tptp.n4)) % 0.45/0.63 (define @t230 () (and @t229 @t179)) % 0.45/0.63 (define @t231 () (and @t229 @t170)) % 0.45/0.63 (define @t232 () (and @t171 @t226)) % 0.45/0.63 (define @t233 () (and @t171 @t229)) % 0.45/0.63 (define @t234 () (= @t27 tptp.n3)) % 0.45/0.63 (define @t235 () (and @t234 @t179)) % 0.45/0.63 (define @t236 () (and @t234 @t170)) % 0.45/0.63 (define @t237 () (and @t234 @t171)) % 0.45/0.63 (define @t238 () (and @t172 @t226)) % 0.45/0.63 (define @t239 () (and @t172 @t229)) % 0.45/0.63 (define @t240 () (and @t172 @t234)) % 0.45/0.63 (define @t241 () (and @t222 @t179)) % 0.45/0.63 (define @t242 () (and @t222 @t170)) % 0.45/0.63 (define @t243 () (and @t222 @t171)) % 0.45/0.63 (define @t244 () (and @t222 @t172)) % 0.45/0.63 (define @t245 () (and @t191 @t226)) % 0.45/0.63 (define @t246 () (and @t191 @t229)) % 0.45/0.63 (define @t247 () (and @t191 @t234)) % 0.45/0.63 (define @t248 () (and @t191 @t222)) % 0.45/0.63 (define @t249 () (and @t224 @t179)) % 0.45/0.63 (define @t250 () (and @t224 @t170)) % 0.45/0.63 (define @t251 () (and @t224 @t171)) % 0.45/0.63 (define @t252 () (and @t224 @t172)) % 0.45/0.63 (define @t253 () (and @t133 @t226)) % 0.45/0.63 (define @t254 () (and @t133 @t229)) % 0.45/0.63 (define @t255 () (and @t133 @t234)) % 0.45/0.63 (define @t256 () (and @t140 @t179)) % 0.45/0.63 (define @t257 () (and @t140 @t170)) % 0.45/0.63 (define @t258 () (and @t140 @t171)) % 0.45/0.63 (define @t259 () (and @t140 @t172)) % 0.45/0.63 (define @t260 () (not @t152)) % 0.45/0.63 (define @t261 () (not @t154)) % 0.45/0.63 (define @t262 () (or @t225 @t261 @t260 @t186 @t185 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t228 @t227 @t225 @t192 @t223 @t213)) % 0.45/0.63 (define @t263 () (@list @t27)) % 0.45/0.63 (define @t264 () (or @t261 @t260 @t186 @t185 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t228 @t227 @t225 @t192 @t223 @t213)) % 0.45/0.63 (define @t265 () (forall @t263 @t264)) % 0.45/0.63 (define @t266 () (forall @t169 @t265)) % 0.45/0.63 (define @t267 () (forall (@list @t42 @t27) @t264)) % 0.45/0.63 (define @t268 () (forall @t157 @t264)) % 0.45/0.63 (define @t269 () (or @t74 @t268)) % 0.45/0.63 (define @t270 () (or @t74 @t264)) % 0.45/0.63 (define @t271 () (or @t261 @t186 @t260 @t185 @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t228 @t227 @t225 @t192 @t223 @t213 @t74)) % 0.45/0.63 (define @t272 () (or @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t228 @t227 @t225 @t192 @t223 @t213 @t74)) % 0.45/0.63 (define @t273 () (or @t261 @t186 @t260 @t185)) % 0.45/0.63 (define @t274 () (not @t227)) % 0.45/0.63 (define @t275 () (not @t274)) % 0.45/0.63 (define @t276 () (not @t228)) % 0.45/0.63 (define @t277 () (not @t276)) % 0.45/0.63 (define @t278 () (not @t230)) % 0.45/0.63 (define @t279 () (not @t278)) % 0.45/0.63 (define @t280 () (not @t231)) % 0.45/0.63 (define @t281 () (not @t280)) % 0.45/0.63 (define @t282 () (not @t232)) % 0.45/0.63 (define @t283 () (not @t282)) % 0.45/0.63 (define @t284 () (not @t233)) % 0.45/0.63 (define @t285 () (not @t284)) % 0.45/0.63 (define @t286 () (not @t235)) % 0.45/0.63 (define @t287 () (not @t286)) % 0.45/0.63 (define @t288 () (not @t236)) % 0.45/0.63 (define @t289 () (not @t288)) % 0.45/0.63 (define @t290 () (not @t237)) % 0.45/0.63 (define @t291 () (not @t290)) % 0.45/0.63 (define @t292 () (not @t238)) % 0.45/0.63 (define @t293 () (not @t292)) % 0.45/0.63 (define @t294 () (not @t239)) % 0.45/0.63 (define @t295 () (not @t294)) % 0.45/0.63 (define @t296 () (not @t240)) % 0.45/0.63 (define @t297 () (not @t296)) % 0.45/0.63 (define @t298 () (not @t241)) % 0.45/0.63 (define @t299 () (not @t298)) % 0.45/0.63 (define @t300 () (not @t242)) % 0.45/0.63 (define @t301 () (not @t300)) % 0.45/0.63 (define @t302 () (not @t243)) % 0.45/0.63 (define @t303 () (not @t302)) % 0.45/0.63 (define @t304 () (not @t244)) % 0.45/0.63 (define @t305 () (not @t304)) % 0.45/0.63 (define @t306 () (not @t245)) % 0.45/0.63 (define @t307 () (not @t306)) % 0.45/0.63 (define @t308 () (not @t246)) % 0.45/0.63 (define @t309 () (not @t308)) % 0.45/0.63 (define @t310 () (not @t247)) % 0.45/0.63 (define @t311 () (not @t310)) % 0.45/0.63 (define @t312 () (not @t248)) % 0.45/0.63 (define @t313 () (not @t312)) % 0.45/0.63 (define @t314 () (not @t249)) % 0.45/0.63 (define @t315 () (not @t314)) % 0.45/0.63 (define @t316 () (not @t250)) % 0.45/0.63 (define @t317 () (not @t316)) % 0.45/0.63 (define @t318 () (not @t251)) % 0.45/0.63 (define @t319 () (not @t318)) % 0.45/0.63 (define @t320 () (not @t252)) % 0.45/0.63 (define @t321 () (not @t320)) % 0.45/0.63 (define @t322 () (not @t253)) % 0.45/0.63 (define @t323 () (not @t322)) % 0.45/0.63 (define @t324 () (not @t254)) % 0.45/0.63 (define @t325 () (not @t324)) % 0.45/0.63 (define @t326 () (not @t255)) % 0.45/0.63 (define @t327 () (not @t326)) % 0.45/0.63 (define @t328 () (not @t256)) % 0.45/0.63 (define @t329 () (not @t328)) % 0.45/0.63 (define @t330 () (not @t257)) % 0.45/0.63 (define @t331 () (not @t330)) % 0.45/0.63 (define @t332 () (not @t258)) % 0.45/0.63 (define @t333 () (not @t332)) % 0.45/0.63 (define @t334 () (not @t259)) % 0.45/0.63 (define @t335 () (not @t334)) % 0.45/0.63 (define @t336 () (or @t335 @t333 @t331 @t329 @t327 @t325 @t323 @t321 @t319 @t317 @t315 @t313 @t311 @t309 @t307 @t305 @t303 @t301 @t299 @t297 @t295 @t293 @t291 @t289 @t287 @t285 @t283 @t281 @t279 @t277 @t275 @t225 @t192 @t223 @t213)) % 0.45/0.63 (define @t337 () (and @t334 @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179)) % 0.45/0.63 (define @t338 () (=> @t337 @t74)) % 0.45/0.63 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.45/0.63 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.45/0.63 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.45/0.63 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.45/0.63 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.45/0.63 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.45/0.63 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.45/0.63 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.45/0.63 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.45/0.63 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.45/0.63 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.45/0.63 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.45/0.63 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.45/0.63 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.45/0.63 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.45/0.63 (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)))) % 0.45/0.63 (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)))) % 0.45/0.63 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.45/0.63 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.45/0.63 (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))))))) % 0.45/0.63 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.45/0.63 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.45/0.63 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.45/0.63 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.45/0.63 (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))))))) % 0.45/0.63 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.45/0.63 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.45/0.63 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.45/0.63 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.45/0.63 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.45/0.63 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.45/0.63 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.45/0.63 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.45/0.63 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.45/0.63 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.45/0.63 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.45/0.63 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.45/0.63 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.45/0.63 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.45/0.63 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.45/0.63 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.45/0.63 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.45/0.63 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.45/0.63 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.45/0.63 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.45/0.63 (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)))) % 0.45/0.63 (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)))) % 0.45/0.63 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.45/0.63 (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)))) % 0.45/0.63 (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)))) % 0.45/0.63 (assume @p51 tptp.true) % 0.45/0.63 (assume @p52 (not (= tptp.def tptp.use))) % 0.45/0.63 (assume @p53 @t159) % 0.45/0.63 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.45/0.63 (assume @p55 (tptp.gt tptp.n400 tptp.n4)) % 0.45/0.63 (assume @p56 (tptp.gt tptp.n400 tptp.n5)) % 0.45/0.63 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p59 (tptp.gt tptp.n400 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.45/0.63 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.45/0.63 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.45/0.63 (assume @p66 (tptp.gt tptp.n400 tptp.n0)) % 0.45/0.63 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.45/0.63 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.45/0.63 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.45/0.63 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.45/0.63 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.45/0.63 (assume @p72 (tptp.gt tptp.n400 tptp.n1)) % 0.45/0.63 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.45/0.63 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.45/0.63 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.45/0.63 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.45/0.63 (assume @p77 (tptp.gt tptp.n400 tptp.n2)) % 0.45/0.63 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.45/0.63 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.45/0.63 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.45/0.63 (assume @p81 (tptp.gt tptp.n400 tptp.n3)) % 0.45/0.63 (assume @p82 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t164 @t163 @t162 @t161 @t160)))) % 0.45/0.63 (assume @p83 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t164 @t163 @t162 @t161 @t160 (= @t2 tptp.n5))))) % 0.45/0.63 (assume @p84 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t164))) % 0.45/0.63 (assume @p85 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t164 @t163)))) % 0.45/0.63 (assume @p86 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t164 @t163 @t162)))) % 0.45/0.63 (assume @p87 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t164 @t163 @t162 @t161)))) % 0.45/0.63 (assume @p88 (= @t168 tptp.n4)) % 0.45/0.63 (assume @p89 (= (tptp.succ @t168) tptp.n5)) % 0.45/0.63 (assume @p90 (= @t165 tptp.n1)) % 0.45/0.63 (assume @p91 (= @t166 tptp.n2)) % 0.45/0.63 (assume @p92 (= @t167 tptp.n3)) % 0.45/0.63 (assume @p93 true) % 0.45/0.63 (step @p94 :rule evaluate :args ((not true))) % 0.45/0.63 (step @p95 :rule absorb :args ((= (or @t74 true) true))) % 0.45/0.63 (step @p96 :rule quant-unused-vars :args ((= (forall @t169 true) true))) % 0.45/0.63 (step @p97 :rule bool-or-taut :args ((or @t188 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t178 @t176 @t174 @t172 @t171 @t170) @t179 (or @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t193 @t192 @t190) false)) % 0.45/0.63 (step @p98 :rule cong :premises (@p97) :args ((forall @t169 @t214))) % 0.45/0.63 (step @p99 :rule trans :premises (@p98 @p96)) % 0.45/0.63 (step @p100 :rule aci_norm :args ((= (or @t188 @t187 @t186 @t185 @t184 @t183 @t182 @t181 @t178 @t176 @t174 @t172 @t171 @t170 @t179 @t212 @t211 @t210 @t209 @t208 @t207 @t206 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t193 false @t192 @t190 @t213) @t214))) % 0.45/0.63 (step @p101 :rule refl :args (@t213)) % 0.45/0.63 (step @p102 :rule refl :args (@t190)) % 0.45/0.63 (step @p103 :rule refl :args (@t192)) % 0.45/0.63 (step @p104 :rule eq-refl :args (tptp.n1)) % 0.45/0.63 (step @p105 :rule cong :premises (@p104) :args (@t216)) % 0.45/0.63 (step @p106 :rule trans :premises (@p105 @p94)) % 0.45/0.63 (step @p107 :rule refl :args (@t193)) % 0.45/0.63 (step @p108 :rule refl :args (@t194)) % 0.45/0.63 (step @p109 :rule refl :args (@t195)) % 0.45/0.63 (step @p110 :rule refl :args (@t196)) % 0.45/0.63 (step @p111 :rule refl :args (@t197)) % 0.45/0.63 (step @p112 :rule refl :args (@t198)) % 0.45/0.63 (step @p113 :rule refl :args (@t199)) % 0.45/0.63 (step @p114 :rule refl :args (@t200)) % 0.45/0.63 (step @p115 :rule refl :args (@t201)) % 0.45/0.63 (step @p116 :rule refl :args (@t202)) % 0.45/0.63 (step @p117 :rule refl :args (@t203)) % 0.45/0.63 (step @p118 :rule refl :args (@t204)) % 0.45/0.63 (step @p119 :rule refl :args (@t205)) % 0.45/0.63 (step @p120 :rule refl :args (@t206)) % 0.45/0.63 (step @p121 :rule refl :args (@t207)) % 0.45/0.63 (step @p122 :rule refl :args (@t208)) % 0.45/0.63 (step @p123 :rule refl :args (@t209)) % 0.45/0.63 (step @p124 :rule refl :args (@t210)) % 0.45/0.63 (step @p125 :rule refl :args (@t211)) % 0.45/0.63 (step @p126 :rule refl :args (@t212)) % 0.45/0.63 (step @p127 :rule aci_norm :args ((= (and true @t179) @t179))) % 0.45/0.63 (step @p128 :rule refl :args (@t179)) % 0.45/0.63 (step @p129 :rule nary_cong :premises (@p104 @p128) :args (@t217)) % 0.45/0.63 (step @p130 :rule trans :premises (@p129 @p127)) % 0.45/0.63 (step @p131 :rule aci_norm :args ((= (and true @t170) @t170))) % 0.45/0.63 (step @p132 :rule refl :args (@t170)) % 0.45/0.63 (step @p133 :rule nary_cong :premises (@p104 @p132) :args (@t218)) % 0.45/0.63 (step @p134 :rule trans :premises (@p133 @p131)) % 0.45/0.63 (step @p135 :rule aci_norm :args ((= (and true @t171) @t171))) % 0.45/0.63 (step @p136 :rule refl :args (@t171)) % 0.45/0.63 (step @p137 :rule nary_cong :premises (@p104 @p136) :args (@t219)) % 0.45/0.63 (step @p138 :rule trans :premises (@p137 @p135)) % 0.45/0.63 (step @p139 :rule aci_norm :args ((= (and true @t172) @t172))) % 0.45/0.63 (step @p140 :rule refl :args (@t172)) % 0.45/0.63 (step @p141 :rule nary_cong :premises (@p104 @p140) :args (@t220)) % 0.45/0.63 (step @p142 :rule trans :premises (@p141 @p139)) % 0.45/0.63 (step @p143 :rule refl :args (@t174)) % 0.45/0.63 (step @p144 :rule refl :args (@t176)) % 0.45/0.63 (step @p145 :rule refl :args (@t178)) % 0.45/0.63 (step @p146 :rule refl :args (@t181)) % 0.45/0.63 (step @p147 :rule refl :args (@t182)) % 0.45/0.63 (step @p148 :rule refl :args (@t183)) % 0.45/0.63 (step @p149 :rule refl :args (@t184)) % 0.45/0.63 (step @p150 :rule refl :args (@t185)) % 0.45/0.63 (step @p151 :rule refl :args (@t186)) % 0.45/0.63 (step @p152 :rule refl :args (@t187)) % 0.45/0.63 (step @p153 :rule refl :args (@t188)) % 0.45/0.63 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151 @p150 @p149 @p148 @p147 @p146 @p145 @p144 @p143 @p142 @p138 @p134 @p130 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p103 @p102 @p101) :args (@t221)) % 0.45/0.63 (step @p155 :rule trans :premises (@p154 @p100)) % 0.45/0.63 (step @p156 :rule cong :premises (@p155) :args ((forall @t169 @t221))) % 0.45/0.63 (step @p157 :rule trans :premises (@p156 @p99)) % 0.45/0.63 (step @p158 :rule quant-var-elim-eq :args ((= (forall @t263 @t262) @t221))) % 0.45/0.63 (step @p159 :rule aci_norm :args ((= @t264 @t262))) % 0.45/0.63 (step @p160 :rule cong :premises (@p159) :args (@t265)) % 0.45/0.63 (step @p161 :rule trans :premises (@p160 @p158)) % 0.45/0.63 (step @p162 :rule cong :premises (@p161) :args (@t266)) % 0.45/0.63 (step @p163 :rule quant-merge-prenex :args ((= @t266 @t267))) % 0.45/0.63 (step @p164 :rule symm :premises (@p163)) % 0.45/0.63 (step @p165 :rule quant_var_reordering :args ((= @t268 @t267))) % 0.45/0.63 (step @p166 :rule trans :premises (@p165 @p164 @p162)) % 0.45/0.63 (step @p167 :rule trans :premises (@p166 @p157)) % 0.45/0.63 (step @p168 :rule refl :args (@t74)) % 0.45/0.63 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t269)) % 0.45/0.63 (step @p170 :rule trans :premises (@p169 @p95)) % 0.45/0.63 (step @p171 :rule quant-miniscope-or :args ((= (forall @t157 @t270) @t269))) % 0.45/0.63 (step @p172 :rule aci_norm :args ((= @t271 @t270))) % 0.45/0.63 (step @p173 :rule cong :premises (@p172) :args ((forall @t157 @t271))) % 0.45/0.63 (step @p174 :rule trans :premises (@p173 @p171)) % 0.45/0.63 (step @p175 :rule trans :premises (@p174 @p170)) % 0.45/0.63 (step @p176 :rule aci_norm :args ((= (or @t273 @t272) @t271))) % 0.45/0.63 (step @p177 :rule aci_norm :args ((= (or (or @t259 @t258 @t257 @t256 @t255 @t254 @t253 @t252 @t251 @t250 @t249 @t248 @t247 @t246 @t245 @t244 @t243 @t242 @t241 @t240 @t239 @t238 @t237 @t236 @t235 @t233 @t232 @t231 @t230 @t228 @t227 @t225 @t192 @t223 @t213) @t74) @t272))) % 0.45/0.63 (step @p178 :rule refl :args (@t74)) % 0.45/0.63 (step @p179 :rule refl :args (@t213)) % 0.45/0.63 (step @p180 :rule refl :args (@t223)) % 0.45/0.63 (step @p181 :rule refl :args (@t192)) % 0.45/0.63 (step @p182 :rule refl :args (@t225)) % 0.45/0.63 (step @p183 :rule bool-double-not-elim :args (@t227)) % 0.45/0.63 (step @p184 :rule bool-double-not-elim :args (@t228)) % 0.45/0.63 (step @p185 :rule bool-double-not-elim :args (@t230)) % 0.45/0.63 (step @p186 :rule bool-double-not-elim :args (@t231)) % 0.45/0.63 (step @p187 :rule bool-double-not-elim :args (@t232)) % 0.45/0.63 (step @p188 :rule bool-double-not-elim :args (@t233)) % 0.45/0.63 (step @p189 :rule bool-double-not-elim :args (@t235)) % 0.45/0.63 (step @p190 :rule bool-double-not-elim :args (@t236)) % 0.45/0.63 (step @p191 :rule bool-double-not-elim :args (@t237)) % 0.45/0.63 (step @p192 :rule bool-double-not-elim :args (@t238)) % 0.45/0.63 (step @p193 :rule bool-double-not-elim :args (@t239)) % 0.45/0.63 (step @p194 :rule bool-double-not-elim :args (@t240)) % 0.45/0.63 (step @p195 :rule bool-double-not-elim :args (@t241)) % 0.45/0.63 (step @p196 :rule bool-double-not-elim :args (@t242)) % 0.45/0.63 (step @p197 :rule bool-double-not-elim :args (@t243)) % 0.45/0.63 (step @p198 :rule bool-double-not-elim :args (@t244)) % 0.45/0.63 (step @p199 :rule bool-double-not-elim :args (@t245)) % 0.45/0.63 (step @p200 :rule bool-double-not-elim :args (@t246)) % 0.45/0.63 (step @p201 :rule bool-double-not-elim :args (@t247)) % 0.45/0.63 (step @p202 :rule bool-double-not-elim :args (@t248)) % 0.45/0.63 (step @p203 :rule bool-double-not-elim :args (@t249)) % 0.45/0.63 (step @p204 :rule bool-double-not-elim :args (@t250)) % 0.45/0.63 (step @p205 :rule bool-double-not-elim :args (@t251)) % 0.45/0.63 (step @p206 :rule bool-double-not-elim :args (@t252)) % 0.45/0.63 (step @p207 :rule bool-double-not-elim :args (@t253)) % 0.45/0.63 (step @p208 :rule bool-double-not-elim :args (@t254)) % 0.45/0.63 (step @p209 :rule bool-double-not-elim :args (@t255)) % 0.45/0.63 (step @p210 :rule bool-double-not-elim :args (@t256)) % 0.45/0.63 (step @p211 :rule bool-double-not-elim :args (@t257)) % 0.45/0.63 (step @p212 :rule bool-double-not-elim :args (@t258)) % 0.45/0.63 (step @p213 :rule bool-double-not-elim :args (@t259)) % 0.45/0.63 (step @p214 :rule nary_cong :premises (@p213 @p212 @p211 @p210 @p209 @p208 @p207 @p206 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p193 @p192 @p191 @p190 @p189 @p188 @p187 @p186 @p185 @p184 @p183 @p182 @p181 @p180 @p179) :args (@t336)) % 0.45/0.63 (step @p215 :rule aci_norm :args ((= (or @t335 (or @t333 (or @t331 (or @t329 (or @t327 (or @t325 (or @t323 (or @t321 (or @t319 (or @t317 (or @t315 (or @t313 (or @t311 (or @t309 (or @t307 (or @t305 (or @t303 (or @t301 (or @t299 (or @t297 (or @t295 (or @t293 (or @t291 (or @t289 (or @t287 (or @t285 (or @t283 (or @t281 (or @t279 (or @t277 (or @t275 (or @t225 (or @t192 (or @t223 @t213)))))))))))))))))))))))))))))))))) @t336))) % 0.45/0.63 (step @p216 :rule trans :premises (@p215 @p214)) % 0.45/0.63 (step @p217 :rule bool-and-de-morgan :args (@t222 @t179 true)) % 0.45/0.63 (step @p218 :rule nary_cong :premises (@p181 @p217) :args ((or @t192 @t298))) % 0.45/0.63 (step @p219 :rule bool-and-de-morgan :args (@t191 @t222 (and @t179))) % 0.45/0.63 (step @p220 :rule trans :premises (@p219 @p218)) % 0.45/0.63 (step @p221 :rule nary_cong :premises (@p182 @p220) :args ((or @t225 (not (and @t191 @t222 @t179))))) % 0.45/0.63 (step @p222 :rule bool-and-de-morgan :args (@t224 @t191 (and @t222 @t179))) % 0.45/0.63 (step @p223 :rule trans :premises (@p222 @p221)) % 0.45/0.63 (step @p224 :rule refl :args (@t275)) % 0.45/0.63 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t275 (not (and @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p226 :rule bool-and-de-morgan :args (@t274 @t224 (and @t191 @t222 @t179))) % 0.45/0.63 (step @p227 :rule trans :premises (@p226 @p225)) % 0.45/0.63 (step @p228 :rule refl :args (@t277)) % 0.45/0.63 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t277 (not (and @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p230 :rule bool-and-de-morgan :args (@t276 @t274 (and @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p231 :rule trans :premises (@p230 @p229)) % 0.45/0.63 (step @p232 :rule refl :args (@t279)) % 0.45/0.63 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t279 (not (and @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p234 :rule bool-and-de-morgan :args (@t278 @t276 (and @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p235 :rule trans :premises (@p234 @p233)) % 0.45/0.63 (step @p236 :rule refl :args (@t281)) % 0.45/0.63 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t281 (not (and @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p238 :rule bool-and-de-morgan :args (@t280 @t278 (and @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p239 :rule trans :premises (@p238 @p237)) % 0.45/0.63 (step @p240 :rule refl :args (@t283)) % 0.45/0.63 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t283 (not (and @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p242 :rule bool-and-de-morgan :args (@t282 @t280 (and @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p243 :rule trans :premises (@p242 @p241)) % 0.45/0.63 (step @p244 :rule refl :args (@t285)) % 0.45/0.63 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or @t285 (not (and @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p246 :rule bool-and-de-morgan :args (@t284 @t282 (and @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p247 :rule trans :premises (@p246 @p245)) % 0.45/0.63 (step @p248 :rule refl :args (@t287)) % 0.45/0.63 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or @t287 (not (and @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p250 :rule bool-and-de-morgan :args (@t286 @t284 (and @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p251 :rule trans :premises (@p250 @p249)) % 0.45/0.63 (step @p252 :rule refl :args (@t289)) % 0.45/0.63 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or @t289 (not (and @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p254 :rule bool-and-de-morgan :args (@t288 @t286 (and @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p255 :rule trans :premises (@p254 @p253)) % 0.45/0.63 (step @p256 :rule refl :args (@t291)) % 0.45/0.63 (step @p257 :rule nary_cong :premises (@p256 @p255) :args ((or @t291 (not (and @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p258 :rule bool-and-de-morgan :args (@t290 @t288 (and @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p259 :rule trans :premises (@p258 @p257)) % 0.45/0.63 (step @p260 :rule refl :args (@t293)) % 0.45/0.63 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or @t293 (not (and @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p262 :rule bool-and-de-morgan :args (@t292 @t290 (and @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p263 :rule trans :premises (@p262 @p261)) % 0.45/0.63 (step @p264 :rule refl :args (@t295)) % 0.45/0.63 (step @p265 :rule nary_cong :premises (@p264 @p263) :args ((or @t295 (not (and @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p266 :rule bool-and-de-morgan :args (@t294 @t292 (and @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p267 :rule trans :premises (@p266 @p265)) % 0.45/0.63 (step @p268 :rule refl :args (@t297)) % 0.45/0.63 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or @t297 (not (and @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p270 :rule bool-and-de-morgan :args (@t296 @t294 (and @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p271 :rule trans :premises (@p270 @p269)) % 0.45/0.63 (step @p272 :rule refl :args (@t299)) % 0.45/0.63 (step @p273 :rule nary_cong :premises (@p272 @p271) :args ((or @t299 (not (and @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p274 :rule bool-and-de-morgan :args (@t298 @t296 (and @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p275 :rule trans :premises (@p274 @p273)) % 0.45/0.63 (step @p276 :rule refl :args (@t301)) % 0.45/0.63 (step @p277 :rule nary_cong :premises (@p276 @p275) :args ((or @t301 (not (and @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p278 :rule bool-and-de-morgan :args (@t300 @t298 (and @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p279 :rule trans :premises (@p278 @p277)) % 0.45/0.63 (step @p280 :rule refl :args (@t303)) % 0.45/0.63 (step @p281 :rule nary_cong :premises (@p280 @p279) :args ((or @t303 (not (and @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p282 :rule bool-and-de-morgan :args (@t302 @t300 (and @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p283 :rule trans :premises (@p282 @p281)) % 0.45/0.63 (step @p284 :rule refl :args (@t305)) % 0.45/0.63 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or @t305 (not (and @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p286 :rule bool-and-de-morgan :args (@t304 @t302 (and @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p287 :rule trans :premises (@p286 @p285)) % 0.45/0.63 (step @p288 :rule refl :args (@t307)) % 0.45/0.63 (step @p289 :rule nary_cong :premises (@p288 @p287) :args ((or @t307 (not (and @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p290 :rule bool-and-de-morgan :args (@t306 @t304 (and @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p291 :rule trans :premises (@p290 @p289)) % 0.45/0.63 (step @p292 :rule refl :args (@t309)) % 0.45/0.63 (step @p293 :rule nary_cong :premises (@p292 @p291) :args ((or @t309 (not (and @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p294 :rule bool-and-de-morgan :args (@t308 @t306 (and @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p295 :rule trans :premises (@p294 @p293)) % 0.45/0.63 (step @p296 :rule refl :args (@t311)) % 0.45/0.63 (step @p297 :rule nary_cong :premises (@p296 @p295) :args ((or @t311 (not (and @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p298 :rule bool-and-de-morgan :args (@t310 @t308 (and @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p299 :rule trans :premises (@p298 @p297)) % 0.45/0.63 (step @p300 :rule refl :args (@t313)) % 0.45/0.63 (step @p301 :rule nary_cong :premises (@p300 @p299) :args ((or @t313 (not (and @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p302 :rule bool-and-de-morgan :args (@t312 @t310 (and @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p303 :rule trans :premises (@p302 @p301)) % 0.45/0.63 (step @p304 :rule refl :args (@t315)) % 0.45/0.63 (step @p305 :rule nary_cong :premises (@p304 @p303) :args ((or @t315 (not (and @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p306 :rule bool-and-de-morgan :args (@t314 @t312 (and @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p307 :rule trans :premises (@p306 @p305)) % 0.45/0.63 (step @p308 :rule refl :args (@t317)) % 0.45/0.63 (step @p309 :rule nary_cong :premises (@p308 @p307) :args ((or @t317 (not (and @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p310 :rule bool-and-de-morgan :args (@t316 @t314 (and @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p311 :rule trans :premises (@p310 @p309)) % 0.45/0.63 (step @p312 :rule refl :args (@t319)) % 0.45/0.63 (step @p313 :rule nary_cong :premises (@p312 @p311) :args ((or @t319 (not (and @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p314 :rule bool-and-de-morgan :args (@t318 @t316 (and @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p315 :rule trans :premises (@p314 @p313)) % 0.45/0.63 (step @p316 :rule refl :args (@t321)) % 0.45/0.63 (step @p317 :rule nary_cong :premises (@p316 @p315) :args ((or @t321 (not (and @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p318 :rule bool-and-de-morgan :args (@t320 @t318 (and @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p319 :rule trans :premises (@p318 @p317)) % 0.45/0.63 (step @p320 :rule refl :args (@t323)) % 0.45/0.63 (step @p321 :rule nary_cong :premises (@p320 @p319) :args ((or @t323 (not (and @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p322 :rule bool-and-de-morgan :args (@t322 @t320 (and @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p323 :rule trans :premises (@p322 @p321)) % 0.45/0.63 (step @p324 :rule refl :args (@t325)) % 0.45/0.63 (step @p325 :rule nary_cong :premises (@p324 @p323) :args ((or @t325 (not (and @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p326 :rule bool-and-de-morgan :args (@t324 @t322 (and @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p327 :rule trans :premises (@p326 @p325)) % 0.45/0.63 (step @p328 :rule refl :args (@t327)) % 0.45/0.63 (step @p329 :rule nary_cong :premises (@p328 @p327) :args ((or @t327 (not (and @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p330 :rule bool-and-de-morgan :args (@t326 @t324 (and @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p331 :rule trans :premises (@p330 @p329)) % 0.45/0.63 (step @p332 :rule refl :args (@t329)) % 0.45/0.63 (step @p333 :rule nary_cong :premises (@p332 @p331) :args ((or @t329 (not (and @t326 @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p334 :rule bool-and-de-morgan :args (@t328 @t326 (and @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p335 :rule trans :premises (@p334 @p333)) % 0.45/0.63 (step @p336 :rule refl :args (@t331)) % 0.45/0.63 (step @p337 :rule nary_cong :premises (@p336 @p335) :args ((or @t331 (not (and @t328 @t326 @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p338 :rule bool-and-de-morgan :args (@t330 @t328 (and @t326 @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p339 :rule trans :premises (@p338 @p337)) % 0.45/0.63 (step @p340 :rule refl :args (@t333)) % 0.45/0.63 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t333 (not (and @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p342 :rule bool-and-de-morgan :args (@t332 @t330 (and @t328 @t326 @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p343 :rule trans :premises (@p342 @p341)) % 0.45/0.63 (step @p344 :rule refl :args (@t335)) % 0.45/0.63 (step @p345 :rule nary_cong :premises (@p344 @p343) :args ((or @t335 (not (and @t332 @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))))) % 0.45/0.63 (step @p346 :rule bool-and-de-morgan :args (@t334 @t332 (and @t330 @t328 @t326 @t324 @t322 @t320 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t280 @t278 @t276 @t274 @t224 @t191 @t222 @t179))) % 0.45/0.63 (step @p347 :rule trans :premises (@p346 @p345)) % 0.45/0.63 (step @p348 :rule trans :premises (@p347 @p216)) % 0.45/0.63 (step @p349 :rule nary_cong :premises (@p348 @p178) :args ((or (not @t337) @t74))) % 0.45/0.63 (step @p350 :rule trans :premises (@p349 @p177)) % 0.45/0.63 (step @p351 :rule bool-impl-elim :args (@t337 @t74)) % 0.45/0.63 (step @p352 :rule trans :premises (@p351 @p350)) % 0.45/0.63 (step @p353 :rule aci_norm :args ((= (or @t261 (or @t186 (or @t260 @t185))) @t273))) % 0.45/0.63 (step @p354 :rule bool-and-de-morgan :args (@t152 @t151 true)) % 0.45/0.63 (step @p355 :rule refl :args (@t186)) % 0.45/0.63 (step @p356 :rule nary_cong :premises (@p355 @p354) :args ((or @t186 (not (and @t152 @t151))))) % 0.45/0.63 (step @p357 :rule bool-and-de-morgan :args (@t153 @t152 (and @t151))) % 0.45/0.63 (step @p358 :rule trans :premises (@p357 @p356)) % 0.45/0.63 (step @p359 :rule refl :args (@t261)) % 0.45/0.63 (step @p360 :rule nary_cong :premises (@p359 @p358) :args ((or @t261 (not (and @t153 @t152 @t151))))) % 0.45/0.63 (step @p361 :rule bool-and-de-morgan :args (@t154 @t153 (and @t152 @t151))) % 0.45/0.63 (step @p362 :rule trans :premises (@p361 @p360)) % 0.45/0.63 (step @p363 :rule trans :premises (@p362 @p353)) % 0.45/0.63 (step @p364 :rule nary_cong :premises (@p363 @p352) :args ((or (not @t155) @t338))) % 0.45/0.63 (step @p365 :rule trans :premises (@p364 @p176)) % 0.45/0.63 (step @p366 :rule bool-impl-elim :args (@t155 @t338)) % 0.45/0.63 (step @p367 :rule trans :premises (@p366 @p365)) % 0.45/0.63 (step @p368 :rule cong :premises (@p367) :args ((forall @t157 (=> @t155 @t338)))) % 0.45/0.63 (step @p369 :rule trans :premises (@p368 @p175)) % 0.45/0.63 (step @p370 :rule eq-symm :args (tptp.n5 @t42)) % 0.45/0.63 (step @p371 :rule eq-symm :args (tptp.n2 @t27)) % 0.45/0.63 (step @p372 :rule eq-symm :args (tptp.n1 @t42)) % 0.45/0.63 (step @p373 :rule eq-symm :args (tptp.n1 @t27)) % 0.45/0.63 (step @p374 :rule eq-symm :args (tptp.n5 @t27)) % 0.45/0.63 (step @p375 :rule nary_cong :premises (@p374 @p370) :args (@t80)) % 0.45/0.63 (step @p376 :rule cong :premises (@p375) :args (@t81)) % 0.45/0.63 (step @p377 :rule eq-symm :args (tptp.n4 @t42)) % 0.45/0.63 (step @p378 :rule nary_cong :premises (@p377 @p374) :args (@t83)) % 0.45/0.63 (step @p379 :rule cong :premises (@p378) :args (@t84)) % 0.45/0.63 (step @p380 :rule eq-symm :args (tptp.n4 @t27)) % 0.45/0.63 (step @p381 :rule nary_cong :premises (@p380 @p370) :args (@t86)) % 0.45/0.63 (step @p382 :rule cong :premises (@p381) :args (@t87)) % 0.45/0.63 (step @p383 :rule nary_cong :premises (@p380 @p377) :args (@t88)) % 0.45/0.63 (step @p384 :rule cong :premises (@p383) :args (@t89)) % 0.45/0.63 (step @p385 :rule eq-symm :args (tptp.n3 @t42)) % 0.45/0.63 (step @p386 :rule nary_cong :premises (@p385 @p374) :args (@t91)) % 0.45/0.63 (step @p387 :rule cong :premises (@p386) :args (@t92)) % 0.45/0.63 (step @p388 :rule nary_cong :premises (@p385 @p380) :args (@t93)) % 0.45/0.63 (step @p389 :rule cong :premises (@p388) :args (@t94)) % 0.45/0.63 (step @p390 :rule eq-symm :args (tptp.n3 @t27)) % 0.45/0.63 (step @p391 :rule nary_cong :premises (@p390 @p370) :args (@t96)) % 0.45/0.63 (step @p392 :rule cong :premises (@p391) :args (@t97)) % 0.45/0.63 (step @p393 :rule nary_cong :premises (@p390 @p377) :args (@t98)) % 0.45/0.63 (step @p394 :rule cong :premises (@p393) :args (@t99)) % 0.45/0.63 (step @p395 :rule nary_cong :premises (@p390 @p385) :args (@t100)) % 0.45/0.63 (step @p396 :rule cong :premises (@p395) :args (@t101)) % 0.45/0.63 (step @p397 :rule eq-symm :args (tptp.n2 @t42)) % 0.45/0.63 (step @p398 :rule nary_cong :premises (@p397 @p374) :args (@t103)) % 0.45/0.63 (step @p399 :rule cong :premises (@p398) :args (@t104)) % 0.45/0.63 (step @p400 :rule nary_cong :premises (@p397 @p380) :args (@t105)) % 0.45/0.63 (step @p401 :rule cong :premises (@p400) :args (@t106)) % 0.45/0.63 (step @p402 :rule nary_cong :premises (@p397 @p390) :args (@t107)) % 0.45/0.63 (step @p403 :rule cong :premises (@p402) :args (@t108)) % 0.45/0.63 (step @p404 :rule nary_cong :premises (@p371 @p370) :args (@t109)) % 0.45/0.63 (step @p405 :rule cong :premises (@p404) :args (@t110)) % 0.45/0.63 (step @p406 :rule nary_cong :premises (@p371 @p377) :args (@t111)) % 0.45/0.63 (step @p407 :rule cong :premises (@p406) :args (@t112)) % 0.45/0.63 (step @p408 :rule nary_cong :premises (@p371 @p385) :args (@t113)) % 0.45/0.63 (step @p409 :rule cong :premises (@p408) :args (@t114)) % 0.45/0.63 (step @p410 :rule nary_cong :premises (@p371 @p397) :args (@t115)) % 0.45/0.63 (step @p411 :rule cong :premises (@p410) :args (@t116)) % 0.45/0.64 (step @p412 :rule nary_cong :premises (@p372 @p374) :args (@t117)) % 0.45/0.64 (step @p413 :rule cong :premises (@p412) :args (@t118)) % 0.45/0.64 (step @p414 :rule nary_cong :premises (@p372 @p380) :args (@t119)) % 0.45/0.64 (step @p415 :rule cong :premises (@p414) :args (@t120)) % 0.45/0.64 (step @p416 :rule nary_cong :premises (@p372 @p390) :args (@t121)) % 0.45/0.64 (step @p417 :rule cong :premises (@p416) :args (@t122)) % 0.45/0.64 (step @p418 :rule nary_cong :premises (@p372 @p371) :args (@t123)) % 0.45/0.64 (step @p419 :rule cong :premises (@p418) :args (@t124)) % 0.45/0.64 (step @p420 :rule nary_cong :premises (@p373 @p370) :args (@t125)) % 0.45/0.64 (step @p421 :rule cong :premises (@p420) :args (@t126)) % 0.45/0.64 (step @p422 :rule nary_cong :premises (@p373 @p377) :args (@t127)) % 0.45/0.64 (step @p423 :rule cong :premises (@p422) :args (@t128)) % 0.45/0.64 (step @p424 :rule nary_cong :premises (@p373 @p385) :args (@t129)) % 0.45/0.64 (step @p425 :rule cong :premises (@p424) :args (@t130)) % 0.45/0.64 (step @p426 :rule nary_cong :premises (@p373 @p397) :args (@t131)) % 0.45/0.64 (step @p427 :rule cong :premises (@p426) :args (@t132)) % 0.45/0.64 (step @p428 :rule refl :args (@t133)) % 0.45/0.64 (step @p429 :rule nary_cong :premises (@p428 @p374) :args (@t134)) % 0.45/0.64 (step @p430 :rule cong :premises (@p429) :args (@t135)) % 0.45/0.64 (step @p431 :rule nary_cong :premises (@p428 @p380) :args (@t136)) % 0.45/0.64 (step @p432 :rule cong :premises (@p431) :args (@t137)) % 0.45/0.64 (step @p433 :rule nary_cong :premises (@p428 @p390) :args (@t138)) % 0.45/0.64 (step @p434 :rule cong :premises (@p433) :args (@t139)) % 0.45/0.64 (step @p435 :rule refl :args (@t140)) % 0.45/0.64 (step @p436 :rule nary_cong :premises (@p435 @p370) :args (@t141)) % 0.45/0.64 (step @p437 :rule cong :premises (@p436) :args (@t142)) % 0.45/0.64 (step @p438 :rule nary_cong :premises (@p435 @p377) :args (@t143)) % 0.45/0.64 (step @p439 :rule cong :premises (@p438) :args (@t144)) % 0.45/0.64 (step @p440 :rule nary_cong :premises (@p435 @p385) :args (@t145)) % 0.45/0.64 (step @p441 :rule cong :premises (@p440) :args (@t146)) % 0.45/0.64 (step @p442 :rule nary_cong :premises (@p435 @p397) :args (@t147)) % 0.45/0.64 (step @p443 :rule cong :premises (@p442) :args (@t148)) % 0.45/0.64 (step @p444 :rule nary_cong :premises (@p443 @p441 @p439 @p437 @p434 @p432 @p430 @p427 @p425 @p423 @p421 @p419 @p417 @p415 @p413 @p411 @p409 @p407 @p405 @p403 @p401 @p399 @p396 @p394 @p392 @p389 @p387 @p384 @p382 @p379 @p376 @p373 @p372 @p371 @p370) :args (@t149)) % 0.45/0.64 (step @p445 :rule cong :premises (@p444 @p168) :args (@t150)) % 0.45/0.64 (step @p446 :rule refl :args (@t155)) % 0.45/0.64 (step @p447 :rule cong :premises (@p446 @p445) :args (@t156)) % 0.45/0.64 (step @p448 :rule cong :premises (@p447) :args (@t158)) % 0.45/0.64 (step @p449 :rule trans :premises (@p448 @p369)) % 0.45/0.64 (step @p450 :rule cong :premises (@p449) :args (@t159)) % 0.45/0.64 (step @p451 :rule trans :premises (@p450 @p94)) % 0.45/0.64 (step @p452 false :rule eq_resolve :premises (@p53 @p451)) % 0.45/0.64 ) % 0.45/0.64 % SZS output end Proof % 0.45/0.64 % cvc5 exiting %------------------------------------------------------------------------------