%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWV219+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 : n022.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 09:00:45 AM UTC 2026 % Result : Theorem 0.37s 0.61s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV219+1 : TPTP v9.2.1. Bugfixed v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n022.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 19:59:23 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.61 % SZS status Theorem % 0.37/0.61 % SZS output start Proof % 0.37/0.61 ( % 0.37/0.61 (declare-sort $$unsorted 0) % 0.37/0.61 (declare-const tptp.times (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.n400 $$unsorted) % 0.37/0.61 (declare-const tptp.def $$unsorted) % 0.37/0.61 (declare-const tptp.use $$unsorted) % 0.37/0.61 (declare-const tptp.true Bool) % 0.37/0.61 (declare-const tptp.tptp_update2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.a_select3 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.uniform_int_rnd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.sigma $$unsorted) % 0.37/0.61 (declare-const tptp.n3 $$unsorted) % 0.37/0.61 (declare-const tptp.tptp_const_array1 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.pred (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.tptp_minus_1 $$unsorted) % 0.37/0.61 (declare-const tptp.n0 $$unsorted) % 0.37/0.61 (declare-const tptp.tptp_msub (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.n1 $$unsorted) % 0.37/0.61 (declare-const tptp.succ (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.n5 $$unsorted) % 0.37/0.61 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.tptp_update3 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.minus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.tptp_const_array2 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.61 (declare-const tptp.trans (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.a_select2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.inv (-> $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.dim (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.plus (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.tptp_madd (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.sum (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.tptp_mmul (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.61 (declare-const tptp.tptp_float_0_0 $$unsorted) % 0.37/0.61 (declare-const tptp.n4 $$unsorted) % 0.37/0.61 (declare-const tptp.n2 $$unsorted) % 0.37/0.61 (define @t1 () (@var "Y" $$unsorted)) % 0.37/0.61 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.61 (define @t3 () (= @t2 @t1)) % 0.37/0.61 (define @t4 () (tptp.gt @t1 @t2)) % 0.37/0.61 (define @t5 () (tptp.gt @t2 @t1)) % 0.37/0.61 (define @t6 () (@list @t2 @t1)) % 0.37/0.61 (define @t7 () (@var "Z" $$unsorted)) % 0.37/0.61 (define @t8 () (@list @t2 @t1 @t7)) % 0.37/0.61 (define @t9 () (@list @t2)) % 0.37/0.61 (define @t10 () (tptp.leq @t2 @t1)) % 0.37/0.61 (define @t11 () (tptp.succ @t2)) % 0.37/0.61 (define @t12 () (tptp.succ @t1)) % 0.37/0.61 (define @t13 () (@var "C" $$unsorted)) % 0.37/0.61 (define @t14 () (tptp.uniform_int_rnd @t13 @t2)) % 0.37/0.61 (define @t15 () (tptp.leq tptp.n0 @t2)) % 0.37/0.61 (define @t16 () (@list @t2 @t13)) % 0.37/0.61 (define @t17 () (@var "Val" $$unsorted)) % 0.37/0.61 (define @t18 () (@var "I" $$unsorted)) % 0.37/0.61 (define @t19 () (@var "U" $$unsorted)) % 0.37/0.61 (define @t20 () (@var "L" $$unsorted)) % 0.37/0.61 (define @t21 () (tptp.leq @t18 @t19)) % 0.37/0.61 (define @t22 () (@var "J" $$unsorted)) % 0.37/0.61 (define @t23 () (@var "U2" $$unsorted)) % 0.37/0.61 (define @t24 () (@var "L2" $$unsorted)) % 0.37/0.61 (define @t25 () (@var "U1" $$unsorted)) % 0.37/0.61 (define @t26 () (@var "L1" $$unsorted)) % 0.37/0.61 (define @t27 () (@var "A" $$unsorted)) % 0.37/0.61 (define @t28 () (tptp.trans @t27)) % 0.37/0.61 (define @t29 () (@var "N" $$unsorted)) % 0.37/0.61 (define @t30 () (tptp.leq @t22 @t29)) % 0.37/0.61 (define @t31 () (tptp.leq tptp.n0 @t22)) % 0.37/0.61 (define @t32 () (tptp.leq @t18 @t29)) % 0.37/0.61 (define @t33 () (tptp.leq tptp.n0 @t18)) % 0.37/0.61 (define @t34 () (and @t33 @t32 @t31 @t30)) % 0.37/0.61 (define @t35 () (@list @t18 @t22)) % 0.37/0.61 (define @t36 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t27 @t18 @t22) (tptp.a_select3 @t27 @t22 @t18))))) % 0.37/0.61 (define @t37 () (@list @t27 @t29)) % 0.37/0.61 (define @t38 () (tptp.inv @t27)) % 0.37/0.61 (define @t39 () (@var "VAL" $$unsorted)) % 0.37/0.61 (define @t40 () (@var "K" $$unsorted)) % 0.37/0.61 (define @t41 () (tptp.tptp_update3 @t27 @t40 @t40 @t39)) % 0.37/0.61 (define @t42 () (@var "B" $$unsorted)) % 0.37/0.61 (define @t43 () (tptp.tptp_madd @t27 @t42)) % 0.37/0.61 (define @t44 () (= (tptp.a_select3 @t42 @t18 @t22) (tptp.a_select3 @t42 @t22 @t18))) % 0.37/0.61 (define @t45 () (forall @t35 (=> @t34 @t44))) % 0.37/0.61 (define @t46 () (and @t36 @t45)) % 0.37/0.61 (define @t47 () (@list @t27 @t42 @t29)) % 0.37/0.61 (define @t48 () (tptp.tptp_msub @t27 @t42)) % 0.37/0.61 (define @t49 () (tptp.tptp_mmul @t27 (tptp.tptp_mmul @t42 @t28))) % 0.37/0.61 (define @t50 () (forall @t35 (=> @t34 (= (tptp.a_select3 @t49 @t18 @t22) (tptp.a_select3 @t49 @t22 @t18))))) % 0.37/0.61 (define @t51 () (@var "M" $$unsorted)) % 0.37/0.61 (define @t52 () (and @t33 (tptp.leq @t18 @t51) @t31 (tptp.leq @t22 @t51))) % 0.37/0.61 (define @t53 () (@var "E" $$unsorted)) % 0.37/0.61 (define @t54 () (@var "F" $$unsorted)) % 0.37/0.61 (define @t55 () (@var "D" $$unsorted)) % 0.37/0.61 (define @t56 () (tptp.tptp_madd @t27 (tptp.tptp_mmul @t42 (tptp.tptp_mmul (tptp.tptp_madd (tptp.tptp_mmul @t13 (tptp.tptp_mmul @t55 (tptp.trans @t13))) (tptp.tptp_mmul @t53 (tptp.tptp_mmul @t54 (tptp.trans @t53)))) (tptp.trans @t42))))) % 0.37/0.61 (define @t57 () (@var "Body" $$unsorted)) % 0.37/0.61 (define @t58 () (tptp.sum tptp.n0 tptp.tptp_minus_1 @t57)) % 0.37/0.61 (define @t59 () (@list @t57)) % 0.37/0.61 (define @t60 () (tptp.succ @t11)) % 0.37/0.61 (define @t61 () (tptp.succ @t60)) % 0.37/0.61 (define @t62 () (tptp.succ @t61)) % 0.37/0.61 (define @t63 () (tptp.succ @t62)) % 0.37/0.61 (define @t64 () (tptp.pred @t2)) % 0.37/0.61 (define @t65 () (@var "V" $$unsorted)) % 0.37/0.61 (define @t66 () (tptp.tptp_update3 @t2 @t19 @t65 @t39)) % 0.37/0.61 (define @t67 () (@var "VAL2" $$unsorted)) % 0.37/0.61 (define @t68 () (not (= @t18 @t19))) % 0.37/0.61 (define @t69 () (@var "J0" $$unsorted)) % 0.37/0.61 (define @t70 () (@var "I0" $$unsorted)) % 0.37/0.61 (define @t71 () (tptp.leq @t70 @t19)) % 0.37/0.61 (define @t72 () (tptp.leq tptp.n0 @t70)) % 0.37/0.61 (define @t73 () (tptp.tptp_update2 @t2 @t19 @t39)) % 0.37/0.61 (define @t74 () (tptp.times (tptp.divide tptp.n1 tptp.n400) (tptp.a_select2 tptp.sigma tptp.n4))) % 0.37/0.61 (define @t75 () (= tptp.n4 @t42)) % 0.37/0.61 (define @t76 () (= tptp.n4 @t27)) % 0.37/0.61 (define @t77 () (= tptp.n3 @t27)) % 0.37/0.61 (define @t78 () (= tptp.n5 @t42)) % 0.37/0.61 (define @t79 () (= tptp.n5 @t27)) % 0.37/0.61 (define @t80 () (and @t79 @t78)) % 0.37/0.61 (define @t81 () (not @t80)) % 0.37/0.61 (define @t82 () (and @t75 @t79)) % 0.37/0.61 (define @t83 () (not @t82)) % 0.37/0.61 (define @t84 () (and @t76 @t78)) % 0.37/0.61 (define @t85 () (not @t84)) % 0.37/0.61 (define @t86 () (and @t76 @t75)) % 0.37/0.61 (define @t87 () (not @t86)) % 0.37/0.61 (define @t88 () (and (= tptp.n3 @t42) @t79)) % 0.37/0.61 (define @t89 () (not @t88)) % 0.37/0.61 (define @t90 () (and @t77 @t78)) % 0.37/0.61 (define @t91 () (not @t90)) % 0.37/0.61 (define @t92 () (and (= tptp.n2 @t42) @t79)) % 0.37/0.61 (define @t93 () (not @t92)) % 0.37/0.61 (define @t94 () (and (= tptp.n2 @t27) @t78)) % 0.37/0.61 (define @t95 () (not @t94)) % 0.37/0.61 (define @t96 () (and (= tptp.n1 @t42) @t79)) % 0.37/0.61 (define @t97 () (not @t96)) % 0.37/0.61 (define @t98 () (and (= tptp.n1 @t27) @t78)) % 0.37/0.61 (define @t99 () (not @t98)) % 0.37/0.61 (define @t100 () (= tptp.n0 @t42)) % 0.37/0.61 (define @t101 () (and @t100 @t79)) % 0.37/0.61 (define @t102 () (not @t101)) % 0.37/0.61 (define @t103 () (= tptp.n0 @t27)) % 0.37/0.61 (define @t104 () (and @t103 @t78)) % 0.37/0.61 (define @t105 () (not @t104)) % 0.37/0.61 (define @t106 () (and @t105 @t102 @t99 @t97 @t95 @t93 @t91 @t89 @t87 @t85 @t83 @t81 @t77 @t76 @t75)) % 0.37/0.61 (define @t107 () (=> @t106 (= @t74 tptp.n0))) % 0.37/0.61 (define @t108 () (tptp.leq @t42 tptp.n5)) % 0.37/0.61 (define @t109 () (tptp.leq @t27 tptp.n5)) % 0.37/0.61 (define @t110 () (tptp.leq tptp.n0 @t42)) % 0.37/0.61 (define @t111 () (tptp.leq tptp.n0 @t27)) % 0.37/0.61 (define @t112 () (and @t111 @t110 @t109 @t108)) % 0.37/0.61 (define @t113 () (=> @t112 @t107)) % 0.37/0.61 (define @t114 () (@list @t27 @t42)) % 0.37/0.61 (define @t115 () (forall @t114 @t113)) % 0.37/0.61 (define @t116 () (not @t115)) % 0.37/0.61 (define @t117 () (= @t2 tptp.n4)) % 0.37/0.61 (define @t118 () (= @t2 tptp.n3)) % 0.37/0.61 (define @t119 () (= @t2 tptp.n2)) % 0.37/0.61 (define @t120 () (= @t2 tptp.n1)) % 0.37/0.61 (define @t121 () (= @t2 tptp.n0)) % 0.37/0.61 (define @t122 () (tptp.succ tptp.n0)) % 0.37/0.61 (define @t123 () (tptp.succ @t122)) % 0.37/0.61 (define @t124 () (tptp.succ @t123)) % 0.37/0.61 (define @t125 () (tptp.succ @t124)) % 0.37/0.61 (define @t126 () (= tptp.n4 tptp.n5)) % 0.37/0.61 (define @t127 () (= tptp.n3 tptp.n5)) % 0.37/0.61 (define @t128 () (and @t127 @t126)) % 0.37/0.61 (define @t129 () (= tptp.n3 tptp.n4)) % 0.37/0.61 (define @t130 () (and @t129 @t126)) % 0.37/0.61 (define @t131 () (and @t129 @t127)) % 0.37/0.61 (define @t132 () (and (= tptp.n2 tptp.n4) @t127)) % 0.37/0.61 (define @t133 () (= tptp.n2 tptp.n3)) % 0.37/0.61 (define @t134 () (and @t133 @t126)) % 0.37/0.61 (define @t135 () (and (= tptp.n1 tptp.n4) @t127)) % 0.37/0.61 (define @t136 () (= tptp.n1 tptp.n3)) % 0.37/0.61 (define @t137 () (and @t136 @t126)) % 0.37/0.61 (define @t138 () (and (= tptp.n0 tptp.n4) @t127)) % 0.37/0.61 (define @t139 () (= tptp.n0 tptp.n3)) % 0.37/0.61 (define @t140 () (and @t139 @t126)) % 0.37/0.61 (define @t141 () (not (tptp.leq tptp.n4 tptp.n5))) % 0.37/0.61 (define @t142 () (not (tptp.leq tptp.n0 tptp.n4))) % 0.37/0.61 (define @t143 () (not @t129)) % 0.37/0.61 (define @t144 () (not (tptp.leq tptp.n3 tptp.n5))) % 0.37/0.61 (define @t145 () (not (tptp.leq tptp.n0 tptp.n3))) % 0.37/0.61 (define @t146 () (= tptp.n0 @t74)) % 0.37/0.61 (define @t147 () (or @t145 @t144 @t143 @t142 @t141 @t140 @t138 @t137 @t135 @t134 @t132 @t126 @t131 @t129 @t130 @t127 @t128)) % 0.37/0.61 (define @t148 () (or @t142 @t141 @t140 @t138 @t137 @t135 @t134 @t132 @t126 @t131 @t129 @t130 @t127 @t128)) % 0.37/0.61 (define @t149 () (= tptp.n4 tptp.n4)) % 0.37/0.61 (define @t150 () (not @t149)) % 0.37/0.61 (define @t151 () (and @t149 @t127)) % 0.37/0.61 (define @t152 () (and @t129 @t149)) % 0.37/0.61 (define @t153 () (and (= tptp.n4 tptp.n3) @t127)) % 0.37/0.61 (define @t154 () (and (= tptp.n4 tptp.n2) @t127)) % 0.37/0.61 (define @t155 () (and (= tptp.n4 tptp.n1) @t127)) % 0.37/0.61 (define @t156 () (or @t142 @t141 @t140 @t138 @t137 @t155 @t134 @t154 @t126 @t153 @t152 @t130 @t151 @t128 @t150)) % 0.37/0.61 (define @t157 () (= @t42 tptp.n4)) % 0.37/0.61 (define @t158 () (not @t157)) % 0.37/0.61 (define @t159 () (= @t42 tptp.n5)) % 0.37/0.61 (define @t160 () (and @t127 @t159)) % 0.37/0.61 (define @t161 () (and @t157 @t127)) % 0.37/0.61 (define @t162 () (and @t129 @t159)) % 0.37/0.61 (define @t163 () (and @t129 @t157)) % 0.37/0.61 (define @t164 () (= @t42 tptp.n3)) % 0.37/0.61 (define @t165 () (and @t164 @t127)) % 0.37/0.61 (define @t166 () (= @t42 tptp.n2)) % 0.37/0.61 (define @t167 () (and @t166 @t127)) % 0.37/0.61 (define @t168 () (and @t133 @t159)) % 0.37/0.61 (define @t169 () (= @t42 tptp.n1)) % 0.37/0.61 (define @t170 () (and @t169 @t127)) % 0.37/0.61 (define @t171 () (and @t136 @t159)) % 0.37/0.61 (define @t172 () (and @t100 @t127)) % 0.37/0.61 (define @t173 () (and @t139 @t159)) % 0.37/0.61 (define @t174 () (not @t108)) % 0.37/0.61 (define @t175 () (not @t110)) % 0.37/0.61 (define @t176 () (or @t158 @t175 @t174 @t173 @t172 @t171 @t170 @t168 @t167 @t159 @t165 @t163 @t162 @t161 @t160 @t158)) % 0.37/0.61 (define @t177 () (@list @t42)) % 0.37/0.61 (define @t178 () (or @t175 @t174 @t173 @t172 @t171 @t170 @t168 @t167 @t159 @t165 @t163 @t162 @t161 @t160 @t158)) % 0.37/0.61 (define @t179 () (forall @t177 @t178)) % 0.37/0.61 (define @t180 () (or @t145 @t144 @t143 @t179)) % 0.37/0.61 (define @t181 () (or @t145 @t144 @t143 @t178)) % 0.37/0.61 (define @t182 () (or @t145 @t144 @t175 @t174 @t173 @t172 @t171 @t170 @t168 @t167 @t159 @t165 @t163 @t162 @t161 @t160 @t143 @t158)) % 0.37/0.61 (define @t183 () (= tptp.n3 tptp.n3)) % 0.37/0.61 (define @t184 () (not @t183)) % 0.37/0.61 (define @t185 () (and @t183 @t159)) % 0.37/0.61 (define @t186 () (and (= tptp.n3 tptp.n2) @t159)) % 0.37/0.61 (define @t187 () (and (= tptp.n3 tptp.n1) @t159)) % 0.37/0.61 (define @t188 () (or @t145 @t144 @t175 @t174 @t173 @t172 @t187 @t170 @t186 @t167 @t185 @t165 @t163 @t162 @t161 @t160 @t184 @t143 @t158)) % 0.37/0.61 (define @t189 () (= @t27 tptp.n4)) % 0.37/0.61 (define @t190 () (not @t189)) % 0.37/0.61 (define @t191 () (= @t27 tptp.n3)) % 0.37/0.61 (define @t192 () (not @t191)) % 0.37/0.61 (define @t193 () (= @t27 tptp.n5)) % 0.37/0.61 (define @t194 () (and @t193 @t159)) % 0.37/0.61 (define @t195 () (and @t157 @t193)) % 0.37/0.61 (define @t196 () (and @t189 @t159)) % 0.37/0.61 (define @t197 () (and @t189 @t157)) % 0.37/0.61 (define @t198 () (and @t164 @t193)) % 0.37/0.61 (define @t199 () (and @t191 @t159)) % 0.37/0.61 (define @t200 () (and @t166 @t193)) % 0.37/0.61 (define @t201 () (and (= @t27 tptp.n2) @t159)) % 0.37/0.61 (define @t202 () (and @t169 @t193)) % 0.37/0.61 (define @t203 () (and (= @t27 tptp.n1) @t159)) % 0.37/0.61 (define @t204 () (and @t100 @t193)) % 0.37/0.61 (define @t205 () (and @t103 @t159)) % 0.37/0.61 (define @t206 () (not @t109)) % 0.37/0.61 (define @t207 () (not @t111)) % 0.37/0.61 (define @t208 () (or @t192 @t207 @t206 @t175 @t174 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t190 @t158)) % 0.37/0.61 (define @t209 () (@list @t27)) % 0.37/0.61 (define @t210 () (or @t207 @t206 @t175 @t174 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t190 @t158)) % 0.37/0.61 (define @t211 () (forall @t209 @t210)) % 0.37/0.61 (define @t212 () (forall @t177 @t211)) % 0.37/0.61 (define @t213 () (forall (@list @t42 @t27) @t210)) % 0.37/0.61 (define @t214 () (forall @t114 @t210)) % 0.37/0.61 (define @t215 () (or @t146 @t214)) % 0.37/0.61 (define @t216 () (or @t146 @t210)) % 0.37/0.61 (define @t217 () (or @t207 @t175 @t206 @t174 @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t190 @t158 @t146)) % 0.37/0.61 (define @t218 () (or @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t190 @t158 @t146)) % 0.37/0.61 (define @t219 () (or @t207 @t175 @t206 @t174)) % 0.37/0.61 (define @t220 () (not @t194)) % 0.37/0.61 (define @t221 () (not @t220)) % 0.37/0.61 (define @t222 () (not @t195)) % 0.37/0.61 (define @t223 () (not @t222)) % 0.37/0.61 (define @t224 () (not @t196)) % 0.37/0.61 (define @t225 () (not @t224)) % 0.37/0.61 (define @t226 () (not @t197)) % 0.37/0.61 (define @t227 () (not @t226)) % 0.37/0.61 (define @t228 () (not @t198)) % 0.37/0.61 (define @t229 () (not @t228)) % 0.37/0.61 (define @t230 () (not @t199)) % 0.37/0.61 (define @t231 () (not @t230)) % 0.37/0.61 (define @t232 () (not @t200)) % 0.37/0.61 (define @t233 () (not @t232)) % 0.37/0.61 (define @t234 () (not @t201)) % 0.37/0.61 (define @t235 () (not @t234)) % 0.37/0.61 (define @t236 () (not @t202)) % 0.37/0.61 (define @t237 () (not @t236)) % 0.37/0.61 (define @t238 () (not @t203)) % 0.37/0.61 (define @t239 () (not @t238)) % 0.37/0.61 (define @t240 () (not @t204)) % 0.37/0.61 (define @t241 () (not @t240)) % 0.37/0.61 (define @t242 () (not @t205)) % 0.37/0.61 (define @t243 () (not @t242)) % 0.37/0.61 (define @t244 () (or @t243 @t241 @t239 @t237 @t235 @t233 @t231 @t229 @t227 @t225 @t223 @t221 @t192 @t190 @t158)) % 0.37/0.61 (define @t245 () (and @t242 @t240 @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157)) % 0.37/0.61 (define @t246 () (=> @t245 @t146)) % 0.37/0.61 (assume @p1 (forall @t6 (or @t5 @t4 @t3))) % 0.37/0.61 (assume @p2 (forall @t8 (=> (and @t5 (tptp.gt @t1 @t7)) (tptp.gt @t2 @t7)))) % 0.37/0.61 (assume @p3 (forall @t9 (not (tptp.gt @t2 @t2)))) % 0.37/0.61 (assume @p4 (forall @t9 (tptp.leq @t2 @t2))) % 0.37/0.61 (assume @p5 (forall @t8 (=> (and @t10 (tptp.leq @t1 @t7)) (tptp.leq @t2 @t7)))) % 0.37/0.61 (assume @p6 (forall @t6 (= (tptp.lt @t2 @t1) @t4))) % 0.37/0.61 (assume @p7 (forall @t6 (= (tptp.geq @t2 @t1) (tptp.leq @t1 @t2)))) % 0.37/0.61 (assume @p8 (forall @t6 (=> @t4 @t10))) % 0.37/0.61 (assume @p9 (forall @t6 (=> (and @t10 (not @t3)) @t4))) % 0.37/0.61 (assume @p10 (forall @t6 (= (tptp.leq @t2 (tptp.pred @t1)) @t4))) % 0.37/0.61 (assume @p11 (forall @t9 (tptp.gt @t11 @t2))) % 0.37/0.61 (assume @p12 (forall @t6 (=> @t10 (tptp.leq @t2 @t12)))) % 0.37/0.61 (assume @p13 (forall @t6 (= @t10 (tptp.gt @t12 @t2)))) % 0.37/0.61 (assume @p14 (forall @t16 (=> @t15 (tptp.leq @t14 @t2)))) % 0.37/0.61 (assume @p15 (forall @t16 (=> @t15 (tptp.leq tptp.n0 @t14)))) % 0.37/0.61 (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)))) % 0.37/0.61 (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)))) % 0.37/0.61 (assume @p18 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t28 @t18 @t22) (tptp.a_select3 @t28 @t22 @t18))))))) % 0.37/0.61 (assume @p19 (forall @t37 (=> @t36 (forall @t35 (=> @t34 (= (tptp.a_select3 @t38 @t18 @t22) (tptp.a_select3 @t38 @t22 @t18))))))) % 0.37/0.61 (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))))))) % 0.37/0.61 (assume @p21 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t43 @t18 @t22) (tptp.a_select3 @t43 @t22 @t18))))))) % 0.37/0.61 (assume @p22 (forall @t47 (=> @t46 (forall @t35 (=> @t34 (= (tptp.a_select3 @t48 @t18 @t22) (tptp.a_select3 @t48 @t22 @t18))))))) % 0.37/0.61 (assume @p23 (forall @t47 (=> @t45 @t50))) % 0.37/0.61 (assume @p24 (forall (@list @t27 @t42 @t29 @t51) (=> (forall @t35 (=> @t52 @t44)) @t50))) % 0.37/0.61 (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))))))) % 0.37/0.61 (assume @p26 (forall @t59 (= @t58 tptp.n0))) % 0.37/0.61 (assume @p27 (forall @t59 (= tptp.tptp_float_0_0 @t58))) % 0.37/0.61 (assume @p28 (= (tptp.succ tptp.tptp_minus_1) tptp.n0)) % 0.37/0.61 (assume @p29 (forall @t9 (= (tptp.plus @t2 tptp.n1) @t11))) % 0.37/0.61 (assume @p30 (forall @t9 (= (tptp.plus tptp.n1 @t2) @t11))) % 0.37/0.61 (assume @p31 (forall @t9 (= (tptp.plus @t2 tptp.n2) @t60))) % 0.37/0.61 (assume @p32 (forall @t9 (= (tptp.plus tptp.n2 @t2) @t60))) % 0.37/0.61 (assume @p33 (forall @t9 (= (tptp.plus @t2 tptp.n3) @t61))) % 0.37/0.61 (assume @p34 (forall @t9 (= (tptp.plus tptp.n3 @t2) @t61))) % 0.37/0.61 (assume @p35 (forall @t9 (= (tptp.plus @t2 tptp.n4) @t62))) % 0.37/0.61 (assume @p36 (forall @t9 (= (tptp.plus tptp.n4 @t2) @t62))) % 0.37/0.61 (assume @p37 (forall @t9 (= (tptp.plus @t2 tptp.n5) @t63))) % 0.37/0.61 (assume @p38 (forall @t9 (= (tptp.plus tptp.n5 @t2) @t63))) % 0.37/0.61 (assume @p39 (forall @t9 (= (tptp.minus @t2 tptp.n1) @t64))) % 0.37/0.61 (assume @p40 (forall @t9 (= (tptp.pred @t11) @t2))) % 0.37/0.61 (assume @p41 (forall @t9 (= (tptp.succ @t64) @t2))) % 0.37/0.61 (assume @p42 (forall @t6 (= (tptp.leq @t11 @t12) @t10))) % 0.37/0.61 (assume @p43 (forall @t6 (=> (tptp.leq @t11 @t1) @t4))) % 0.37/0.61 (assume @p44 (forall @t6 (=> (tptp.leq (tptp.minus @t2 @t1) @t2) (tptp.leq tptp.n0 @t1)))) % 0.37/0.61 (assume @p45 (forall (@list @t2 @t19 @t65 @t39) (= (tptp.a_select3 @t66 @t19 @t65) @t39))) % 0.37/0.61 (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)))) % 0.37/0.61 (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)))) % 0.37/0.61 (assume @p48 (forall (@list @t2 @t19 @t39) (= (tptp.a_select2 @t73 @t19) @t39))) % 0.37/0.61 (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)))) % 0.37/0.61 (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)))) % 0.37/0.61 (assume @p51 tptp.true) % 0.37/0.61 (assume @p52 (not (= tptp.def tptp.use))) % 0.37/0.61 (assume @p53 @t116) % 0.37/0.61 (assume @p54 (tptp.gt tptp.n5 tptp.n4)) % 0.37/0.61 (assume @p55 (tptp.gt tptp.n400 tptp.n4)) % 0.37/0.61 (assume @p56 (tptp.gt tptp.n400 tptp.n5)) % 0.37/0.61 (assume @p57 (tptp.gt tptp.n4 tptp.tptp_minus_1)) % 0.37/0.61 (assume @p58 (tptp.gt tptp.n5 tptp.tptp_minus_1)) % 0.37/0.61 (assume @p59 (tptp.gt tptp.n400 tptp.tptp_minus_1)) % 0.37/0.61 (assume @p60 (tptp.gt tptp.n0 tptp.tptp_minus_1)) % 0.37/0.61 (assume @p61 (tptp.gt tptp.n1 tptp.tptp_minus_1)) % 0.37/0.61 (assume @p62 (tptp.gt tptp.n2 tptp.tptp_minus_1)) % 0.37/0.61 (assume @p63 (tptp.gt tptp.n3 tptp.tptp_minus_1)) % 0.37/0.61 (assume @p64 (tptp.gt tptp.n4 tptp.n0)) % 0.37/0.61 (assume @p65 (tptp.gt tptp.n5 tptp.n0)) % 0.37/0.61 (assume @p66 (tptp.gt tptp.n400 tptp.n0)) % 0.37/0.61 (assume @p67 (tptp.gt tptp.n1 tptp.n0)) % 0.37/0.61 (assume @p68 (tptp.gt tptp.n2 tptp.n0)) % 0.37/0.61 (assume @p69 (tptp.gt tptp.n3 tptp.n0)) % 0.37/0.61 (assume @p70 (tptp.gt tptp.n4 tptp.n1)) % 0.37/0.61 (assume @p71 (tptp.gt tptp.n5 tptp.n1)) % 0.37/0.61 (assume @p72 (tptp.gt tptp.n400 tptp.n1)) % 0.37/0.61 (assume @p73 (tptp.gt tptp.n2 tptp.n1)) % 0.37/0.61 (assume @p74 (tptp.gt tptp.n3 tptp.n1)) % 0.37/0.61 (assume @p75 (tptp.gt tptp.n4 tptp.n2)) % 0.37/0.61 (assume @p76 (tptp.gt tptp.n5 tptp.n2)) % 0.37/0.61 (assume @p77 (tptp.gt tptp.n400 tptp.n2)) % 0.37/0.61 (assume @p78 (tptp.gt tptp.n3 tptp.n2)) % 0.37/0.61 (assume @p79 (tptp.gt tptp.n4 tptp.n3)) % 0.37/0.61 (assume @p80 (tptp.gt tptp.n5 tptp.n3)) % 0.37/0.61 (assume @p81 (tptp.gt tptp.n400 tptp.n3)) % 0.37/0.61 (assume @p82 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n4)) (or @t121 @t120 @t119 @t118 @t117)))) % 0.37/0.61 (assume @p83 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n5)) (or @t121 @t120 @t119 @t118 @t117 (= @t2 tptp.n5))))) % 0.37/0.61 (assume @p84 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n0)) @t121))) % 0.37/0.61 (assume @p85 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n1)) (or @t121 @t120)))) % 0.37/0.61 (assume @p86 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n2)) (or @t121 @t120 @t119)))) % 0.37/0.61 (assume @p87 (forall @t9 (=> (and @t15 (tptp.leq @t2 tptp.n3)) (or @t121 @t120 @t119 @t118)))) % 0.37/0.61 (assume @p88 (= @t125 tptp.n4)) % 0.37/0.61 (assume @p89 (= (tptp.succ @t125) tptp.n5)) % 0.37/0.61 (assume @p90 (= @t122 tptp.n1)) % 0.37/0.61 (assume @p91 (= @t123 tptp.n2)) % 0.37/0.61 (assume @p92 (= @t124 tptp.n3)) % 0.37/0.61 (assume @p93 true) % 0.37/0.61 (step @p94 :rule aci_norm :args ((= (or @t146 @t147) (or @t146 @t145 @t144 @t143 @t142 @t141 @t140 @t138 @t137 @t135 @t134 @t132 @t126 @t131 @t129 @t130 @t127 @t128)))) % 0.37/0.61 (step @p95 :rule aci_norm :args ((= (or @t145 @t144 @t143 @t148) @t147))) % 0.37/0.61 (step @p96 :rule aci_norm :args ((= (or @t142 @t141 @t140 @t138 @t137 @t135 @t134 @t132 @t126 @t131 @t129 @t130 @t127 @t128 false) @t148))) % 0.37/0.61 (step @p97 :rule evaluate :args ((not true))) % 0.37/0.61 (step @p98 :rule eq-refl :args (tptp.n4)) % 0.37/0.61 (step @p99 :rule cong :premises (@p98) :args (@t150)) % 0.37/0.61 (step @p100 :rule trans :premises (@p99 @p97)) % 0.37/0.61 (step @p101 :rule refl :args (@t128)) % 0.37/0.61 (step @p102 :rule aci_norm :args ((= (and true @t127) @t127))) % 0.37/0.61 (step @p103 :rule refl :args (@t127)) % 0.37/0.61 (step @p104 :rule nary_cong :premises (@p98 @p103) :args (@t151)) % 0.37/0.61 (step @p105 :rule trans :premises (@p104 @p102)) % 0.37/0.61 (step @p106 :rule refl :args (@t130)) % 0.37/0.61 (step @p107 :rule aci_norm :args ((= (and @t129 true) @t129))) % 0.37/0.61 (step @p108 :rule refl :args (@t129)) % 0.37/0.61 (step @p109 :rule nary_cong :premises (@p108 @p98) :args (@t152)) % 0.37/0.61 (step @p110 :rule trans :premises (@p109 @p107)) % 0.37/0.61 (step @p111 :rule eq-symm :args (tptp.n4 tptp.n3)) % 0.37/0.61 (step @p112 :rule nary_cong :premises (@p111 @p103) :args (@t153)) % 0.37/0.61 (step @p113 :rule refl :args (@t126)) % 0.37/0.61 (step @p114 :rule eq-symm :args (tptp.n4 tptp.n2)) % 0.37/0.61 (step @p115 :rule nary_cong :premises (@p114 @p103) :args (@t154)) % 0.37/0.61 (step @p116 :rule refl :args (@t134)) % 0.37/0.61 (step @p117 :rule eq-symm :args (tptp.n4 tptp.n1)) % 0.37/0.61 (step @p118 :rule nary_cong :premises (@p117 @p103) :args (@t155)) % 0.37/0.61 (step @p119 :rule refl :args (@t137)) % 0.37/0.61 (step @p120 :rule refl :args (@t138)) % 0.37/0.61 (step @p121 :rule refl :args (@t140)) % 0.37/0.61 (step @p122 :rule refl :args (@t141)) % 0.37/0.61 (step @p123 :rule refl :args (@t142)) % 0.37/0.61 (step @p124 :rule nary_cong :premises (@p123 @p122 @p121 @p120 @p119 @p118 @p116 @p115 @p113 @p112 @p110 @p106 @p105 @p101 @p100) :args (@t156)) % 0.37/0.61 (step @p125 :rule trans :premises (@p124 @p96)) % 0.37/0.61 (step @p126 :rule quant-var-elim-eq :args ((= (forall @t177 @t176) @t156))) % 0.37/0.61 (step @p127 :rule aci_norm :args ((= @t178 @t176))) % 0.37/0.61 (step @p128 :rule cong :premises (@p127) :args (@t179)) % 0.37/0.61 (step @p129 :rule trans :premises (@p128 @p126)) % 0.37/0.61 (step @p130 :rule trans :premises (@p129 @p125)) % 0.37/0.61 (step @p131 :rule refl :args (@t143)) % 0.37/0.61 (step @p132 :rule refl :args (@t144)) % 0.37/0.61 (step @p133 :rule refl :args (@t145)) % 0.37/0.61 (step @p134 :rule nary_cong :premises (@p133 @p132 @p131 @p130) :args (@t180)) % 0.37/0.61 (step @p135 :rule trans :premises (@p134 @p95)) % 0.37/0.61 (step @p136 :rule quant-miniscope-or :args ((= (forall @t177 @t181) @t180))) % 0.37/0.61 (step @p137 :rule aci_norm :args ((= @t182 @t181))) % 0.37/0.61 (step @p138 :rule cong :premises (@p137) :args ((forall @t177 @t182))) % 0.37/0.61 (step @p139 :rule trans :premises (@p138 @p136)) % 0.37/0.61 (step @p140 :rule trans :premises (@p139 @p135)) % 0.37/0.61 (step @p141 :rule aci_norm :args ((= (or @t145 @t144 @t175 @t174 @t173 @t172 @t171 @t170 @t168 @t167 @t159 @t165 @t163 @t162 @t161 @t160 false @t143 @t158) @t182))) % 0.37/0.61 (step @p142 :rule refl :args (@t158)) % 0.37/0.61 (step @p143 :rule eq-refl :args (tptp.n3)) % 0.37/0.61 (step @p144 :rule cong :premises (@p143) :args (@t184)) % 0.37/0.61 (step @p145 :rule trans :premises (@p144 @p97)) % 0.37/0.61 (step @p146 :rule refl :args (@t160)) % 0.37/0.61 (step @p147 :rule refl :args (@t161)) % 0.37/0.61 (step @p148 :rule refl :args (@t162)) % 0.37/0.61 (step @p149 :rule refl :args (@t163)) % 0.37/0.61 (step @p150 :rule refl :args (@t165)) % 0.37/0.61 (step @p151 :rule aci_norm :args ((= (and true @t159) @t159))) % 0.37/0.61 (step @p152 :rule refl :args (@t159)) % 0.37/0.61 (step @p153 :rule nary_cong :premises (@p143 @p152) :args (@t185)) % 0.37/0.61 (step @p154 :rule trans :premises (@p153 @p151)) % 0.37/0.61 (step @p155 :rule refl :args (@t167)) % 0.37/0.61 (step @p156 :rule eq-symm :args (tptp.n3 tptp.n2)) % 0.37/0.61 (step @p157 :rule nary_cong :premises (@p156 @p152) :args (@t186)) % 0.37/0.61 (step @p158 :rule refl :args (@t170)) % 0.37/0.61 (step @p159 :rule eq-symm :args (tptp.n3 tptp.n1)) % 0.37/0.61 (step @p160 :rule nary_cong :premises (@p159 @p152) :args (@t187)) % 0.37/0.61 (step @p161 :rule refl :args (@t172)) % 0.37/0.61 (step @p162 :rule refl :args (@t173)) % 0.37/0.61 (step @p163 :rule refl :args (@t174)) % 0.37/0.61 (step @p164 :rule refl :args (@t175)) % 0.37/0.61 (step @p165 :rule nary_cong :premises (@p133 @p132 @p164 @p163 @p162 @p161 @p160 @p158 @p157 @p155 @p154 @p150 @p149 @p148 @p147 @p146 @p145 @p131 @p142) :args (@t188)) % 0.37/0.61 (step @p166 :rule trans :premises (@p165 @p141)) % 0.37/0.61 (step @p167 :rule cong :premises (@p166) :args ((forall @t177 @t188))) % 0.37/0.61 (step @p168 :rule trans :premises (@p167 @p140)) % 0.37/0.61 (step @p169 :rule quant-var-elim-eq :args ((= (forall @t209 @t208) @t188))) % 0.37/0.61 (step @p170 :rule aci_norm :args ((= @t210 @t208))) % 0.37/0.61 (step @p171 :rule cong :premises (@p170) :args (@t211)) % 0.37/0.61 (step @p172 :rule trans :premises (@p171 @p169)) % 0.37/0.61 (step @p173 :rule cong :premises (@p172) :args (@t212)) % 0.37/0.61 (step @p174 :rule quant-merge-prenex :args ((= @t212 @t213))) % 0.37/0.61 (step @p175 :rule symm :premises (@p174)) % 0.37/0.61 (step @p176 :rule quant_var_reordering :args ((= @t214 @t213))) % 0.37/0.61 (step @p177 :rule trans :premises (@p176 @p175 @p173)) % 0.37/0.61 (step @p178 :rule trans :premises (@p177 @p168)) % 0.37/0.61 (step @p179 :rule refl :args (@t146)) % 0.37/0.61 (step @p180 :rule nary_cong :premises (@p179 @p178) :args (@t215)) % 0.37/0.61 (step @p181 :rule trans :premises (@p180 @p94)) % 0.37/0.61 (step @p182 :rule quant-miniscope-or :args ((= (forall @t114 @t216) @t215))) % 0.37/0.61 (step @p183 :rule aci_norm :args ((= @t217 @t216))) % 0.37/0.61 (step @p184 :rule cong :premises (@p183) :args ((forall @t114 @t217))) % 0.37/0.61 (step @p185 :rule trans :premises (@p184 @p182)) % 0.37/0.61 (step @p186 :rule trans :premises (@p185 @p181)) % 0.37/0.61 (step @p187 :rule aci_norm :args ((= (or @t219 @t218) @t217))) % 0.37/0.61 (step @p188 :rule aci_norm :args ((= (or (or @t205 @t204 @t203 @t202 @t201 @t200 @t199 @t198 @t197 @t196 @t195 @t194 @t192 @t190 @t158) @t146) @t218))) % 0.37/0.61 (step @p189 :rule refl :args (@t146)) % 0.37/0.61 (step @p190 :rule refl :args (@t158)) % 0.37/0.61 (step @p191 :rule refl :args (@t190)) % 0.37/0.61 (step @p192 :rule refl :args (@t192)) % 0.37/0.61 (step @p193 :rule bool-double-not-elim :args (@t194)) % 0.37/0.61 (step @p194 :rule bool-double-not-elim :args (@t195)) % 0.37/0.61 (step @p195 :rule bool-double-not-elim :args (@t196)) % 0.37/0.61 (step @p196 :rule bool-double-not-elim :args (@t197)) % 0.37/0.61 (step @p197 :rule bool-double-not-elim :args (@t198)) % 0.37/0.61 (step @p198 :rule bool-double-not-elim :args (@t199)) % 0.37/0.61 (step @p199 :rule bool-double-not-elim :args (@t200)) % 0.37/0.61 (step @p200 :rule bool-double-not-elim :args (@t201)) % 0.37/0.61 (step @p201 :rule bool-double-not-elim :args (@t202)) % 0.37/0.61 (step @p202 :rule bool-double-not-elim :args (@t203)) % 0.37/0.61 (step @p203 :rule bool-double-not-elim :args (@t204)) % 0.37/0.61 (step @p204 :rule bool-double-not-elim :args (@t205)) % 0.37/0.61 (step @p205 :rule nary_cong :premises (@p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p193 @p192 @p191 @p190) :args (@t244)) % 0.37/0.61 (step @p206 :rule aci_norm :args ((= (or @t243 (or @t241 (or @t239 (or @t237 (or @t235 (or @t233 (or @t231 (or @t229 (or @t227 (or @t225 (or @t223 (or @t221 (or @t192 (or @t190 @t158)))))))))))))) @t244))) % 0.37/0.61 (step @p207 :rule trans :premises (@p206 @p205)) % 0.37/0.61 (step @p208 :rule bool-and-de-morgan :args (@t189 @t157 true)) % 0.37/0.61 (step @p209 :rule nary_cong :premises (@p192 @p208) :args ((or @t192 @t226))) % 0.37/0.61 (step @p210 :rule bool-and-de-morgan :args (@t191 @t189 (and @t157))) % 0.37/0.61 (step @p211 :rule trans :premises (@p210 @p209)) % 0.37/0.61 (step @p212 :rule refl :args (@t221)) % 0.37/0.61 (step @p213 :rule nary_cong :premises (@p212 @p211) :args ((or @t221 (not (and @t191 @t189 @t157))))) % 0.37/0.61 (step @p214 :rule bool-and-de-morgan :args (@t220 @t191 (and @t189 @t157))) % 0.37/0.61 (step @p215 :rule trans :premises (@p214 @p213)) % 0.37/0.61 (step @p216 :rule refl :args (@t223)) % 0.37/0.61 (step @p217 :rule nary_cong :premises (@p216 @p215) :args ((or @t223 (not (and @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p218 :rule bool-and-de-morgan :args (@t222 @t220 (and @t191 @t189 @t157))) % 0.37/0.61 (step @p219 :rule trans :premises (@p218 @p217)) % 0.37/0.61 (step @p220 :rule refl :args (@t225)) % 0.37/0.61 (step @p221 :rule nary_cong :premises (@p220 @p219) :args ((or @t225 (not (and @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p222 :rule bool-and-de-morgan :args (@t224 @t222 (and @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p223 :rule trans :premises (@p222 @p221)) % 0.37/0.61 (step @p224 :rule refl :args (@t227)) % 0.37/0.61 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or @t227 (not (and @t224 @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p226 :rule bool-and-de-morgan :args (@t226 @t224 (and @t222 @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p227 :rule trans :premises (@p226 @p225)) % 0.37/0.61 (step @p228 :rule refl :args (@t229)) % 0.37/0.61 (step @p229 :rule nary_cong :premises (@p228 @p227) :args ((or @t229 (not (and @t226 @t224 @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p230 :rule bool-and-de-morgan :args (@t228 @t226 (and @t224 @t222 @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p231 :rule trans :premises (@p230 @p229)) % 0.37/0.61 (step @p232 :rule refl :args (@t231)) % 0.37/0.61 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t231 (not (and @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p234 :rule bool-and-de-morgan :args (@t230 @t228 (and @t226 @t224 @t222 @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p235 :rule trans :premises (@p234 @p233)) % 0.37/0.61 (step @p236 :rule refl :args (@t233)) % 0.37/0.61 (step @p237 :rule nary_cong :premises (@p236 @p235) :args ((or @t233 (not (and @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p238 :rule bool-and-de-morgan :args (@t232 @t230 (and @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p239 :rule trans :premises (@p238 @p237)) % 0.37/0.61 (step @p240 :rule refl :args (@t235)) % 0.37/0.61 (step @p241 :rule nary_cong :premises (@p240 @p239) :args ((or @t235 (not (and @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p242 :rule bool-and-de-morgan :args (@t234 @t232 (and @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p243 :rule trans :premises (@p242 @p241)) % 0.37/0.61 (step @p244 :rule refl :args (@t237)) % 0.37/0.61 (step @p245 :rule nary_cong :premises (@p244 @p243) :args ((or @t237 (not (and @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p246 :rule bool-and-de-morgan :args (@t236 @t234 (and @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p247 :rule trans :premises (@p246 @p245)) % 0.37/0.61 (step @p248 :rule refl :args (@t239)) % 0.37/0.61 (step @p249 :rule nary_cong :premises (@p248 @p247) :args ((or @t239 (not (and @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p250 :rule bool-and-de-morgan :args (@t238 @t236 (and @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p251 :rule trans :premises (@p250 @p249)) % 0.37/0.61 (step @p252 :rule refl :args (@t241)) % 0.37/0.61 (step @p253 :rule nary_cong :premises (@p252 @p251) :args ((or @t241 (not (and @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p254 :rule bool-and-de-morgan :args (@t240 @t238 (and @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p255 :rule trans :premises (@p254 @p253)) % 0.37/0.61 (step @p256 :rule refl :args (@t243)) % 0.37/0.61 (step @p257 :rule nary_cong :premises (@p256 @p255) :args ((or @t243 (not (and @t240 @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))))) % 0.37/0.61 (step @p258 :rule bool-and-de-morgan :args (@t242 @t240 (and @t238 @t236 @t234 @t232 @t230 @t228 @t226 @t224 @t222 @t220 @t191 @t189 @t157))) % 0.37/0.61 (step @p259 :rule trans :premises (@p258 @p257)) % 0.37/0.61 (step @p260 :rule trans :premises (@p259 @p207)) % 0.37/0.61 (step @p261 :rule nary_cong :premises (@p260 @p189) :args ((or (not @t245) @t146))) % 0.37/0.61 (step @p262 :rule trans :premises (@p261 @p188)) % 0.37/0.61 (step @p263 :rule bool-impl-elim :args (@t245 @t146)) % 0.37/0.61 (step @p264 :rule trans :premises (@p263 @p262)) % 0.37/0.61 (step @p265 :rule aci_norm :args ((= (or @t207 (or @t175 (or @t206 @t174))) @t219))) % 0.37/0.61 (step @p266 :rule bool-and-de-morgan :args (@t109 @t108 true)) % 0.37/0.61 (step @p267 :rule refl :args (@t175)) % 0.37/0.61 (step @p268 :rule nary_cong :premises (@p267 @p266) :args ((or @t175 (not (and @t109 @t108))))) % 0.37/0.61 (step @p269 :rule bool-and-de-morgan :args (@t110 @t109 (and @t108))) % 0.37/0.61 (step @p270 :rule trans :premises (@p269 @p268)) % 0.37/0.61 (step @p271 :rule refl :args (@t207)) % 0.37/0.61 (step @p272 :rule nary_cong :premises (@p271 @p270) :args ((or @t207 (not (and @t110 @t109 @t108))))) % 0.37/0.61 (step @p273 :rule bool-and-de-morgan :args (@t111 @t110 (and @t109 @t108))) % 0.37/0.61 (step @p274 :rule trans :premises (@p273 @p272)) % 0.37/0.61 (step @p275 :rule trans :premises (@p274 @p265)) % 0.37/0.61 (step @p276 :rule nary_cong :premises (@p275 @p264) :args ((or (not @t112) @t246))) % 0.37/0.61 (step @p277 :rule trans :premises (@p276 @p187)) % 0.37/0.61 (step @p278 :rule bool-impl-elim :args (@t112 @t246)) % 0.37/0.61 (step @p279 :rule trans :premises (@p278 @p277)) % 0.37/0.61 (step @p280 :rule cong :premises (@p279) :args ((forall @t114 (=> @t112 @t246)))) % 0.37/0.61 (step @p281 :rule trans :premises (@p280 @p186)) % 0.37/0.61 (step @p282 :rule eq-symm :args (@t74 tptp.n0)) % 0.37/0.61 (step @p283 :rule eq-symm :args (tptp.n4 @t42)) % 0.37/0.61 (step @p284 :rule eq-symm :args (tptp.n4 @t27)) % 0.37/0.61 (step @p285 :rule eq-symm :args (tptp.n3 @t27)) % 0.37/0.61 (step @p286 :rule eq-symm :args (tptp.n5 @t42)) % 0.37/0.61 (step @p287 :rule eq-symm :args (tptp.n5 @t27)) % 0.37/0.61 (step @p288 :rule nary_cong :premises (@p287 @p286) :args (@t80)) % 0.37/0.61 (step @p289 :rule cong :premises (@p288) :args (@t81)) % 0.37/0.61 (step @p290 :rule nary_cong :premises (@p283 @p287) :args (@t82)) % 0.37/0.61 (step @p291 :rule cong :premises (@p290) :args (@t83)) % 0.37/0.61 (step @p292 :rule nary_cong :premises (@p284 @p286) :args (@t84)) % 0.37/0.61 (step @p293 :rule cong :premises (@p292) :args (@t85)) % 0.37/0.61 (step @p294 :rule nary_cong :premises (@p284 @p283) :args (@t86)) % 0.37/0.61 (step @p295 :rule cong :premises (@p294) :args (@t87)) % 0.37/0.61 (step @p296 :rule eq-symm :args (tptp.n3 @t42)) % 0.37/0.61 (step @p297 :rule nary_cong :premises (@p296 @p287) :args (@t88)) % 0.37/0.61 (step @p298 :rule cong :premises (@p297) :args (@t89)) % 0.37/0.61 (step @p299 :rule nary_cong :premises (@p285 @p286) :args (@t90)) % 0.37/0.61 (step @p300 :rule cong :premises (@p299) :args (@t91)) % 0.37/0.61 (step @p301 :rule eq-symm :args (tptp.n2 @t42)) % 0.37/0.61 (step @p302 :rule nary_cong :premises (@p301 @p287) :args (@t92)) % 0.37/0.61 (step @p303 :rule cong :premises (@p302) :args (@t93)) % 0.37/0.61 (step @p304 :rule eq-symm :args (tptp.n2 @t27)) % 0.37/0.61 (step @p305 :rule nary_cong :premises (@p304 @p286) :args (@t94)) % 0.37/0.61 (step @p306 :rule cong :premises (@p305) :args (@t95)) % 0.37/0.61 (step @p307 :rule eq-symm :args (tptp.n1 @t42)) % 0.37/0.61 (step @p308 :rule nary_cong :premises (@p307 @p287) :args (@t96)) % 0.37/0.61 (step @p309 :rule cong :premises (@p308) :args (@t97)) % 0.37/0.61 (step @p310 :rule eq-symm :args (tptp.n1 @t27)) % 0.37/0.61 (step @p311 :rule nary_cong :premises (@p310 @p286) :args (@t98)) % 0.37/0.61 (step @p312 :rule cong :premises (@p311) :args (@t99)) % 0.37/0.61 (step @p313 :rule refl :args (@t100)) % 0.37/0.61 (step @p314 :rule nary_cong :premises (@p313 @p287) :args (@t101)) % 0.37/0.61 (step @p315 :rule cong :premises (@p314) :args (@t102)) % 0.37/0.61 (step @p316 :rule refl :args (@t103)) % 0.37/0.61 (step @p317 :rule nary_cong :premises (@p316 @p286) :args (@t104)) % 0.37/0.61 (step @p318 :rule cong :premises (@p317) :args (@t105)) % 0.37/0.61 (step @p319 :rule nary_cong :premises (@p318 @p315 @p312 @p309 @p306 @p303 @p300 @p298 @p295 @p293 @p291 @p289 @p285 @p284 @p283) :args (@t106)) % 0.37/0.61 (step @p320 :rule cong :premises (@p319 @p282) :args (@t107)) % 0.37/0.61 (step @p321 :rule refl :args (@t112)) % 0.37/0.61 (step @p322 :rule cong :premises (@p321 @p320) :args (@t113)) % 0.37/0.61 (step @p323 :rule cong :premises (@p322) :args (@t115)) % 0.37/0.61 (step @p324 :rule trans :premises (@p323 @p281)) % 0.37/0.61 (step @p325 :rule cong :premises (@p324) :args (@t116)) % 0.37/0.61 (step @p326 :rule eq_resolve :premises (@p53 @p325)) % 0.37/0.61 (step @p327 :rule not_or_elim :premises (@p326) :args (3)) % 0.37/0.61 (step @p328 :rule not_not_elim :premises (@p327)) % 0.37/0.61 (step @p329 :rule not_or_elim :premises (@p326) :args (14)) % 0.37/0.61 (step @p330 false :rule chain_m_resolution :premises (@p329 @p328) :args (false (@list false) (@list @t129))) % 0.37/0.61 ) % 0.37/0.61 % SZS output end Proof % 0.37/0.61 % cvc5 exiting %------------------------------------------------------------------------------