%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW609_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.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 09:05:20 AM UTC 2026 % Result : Theorem 0.58s 1.00s % Output : Proof 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW609_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 22:18:34 EDT 2026 % 0.17/0.34 % CPUTime : % 0.26/0.50 %----Proving TF0_ARI % 0.58/1.00 --- Run --finite-model-find --decision=internal at 45... % 0.58/1.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.58/1.00 % SZS status Theorem % 0.58/1.00 % SZS output start Proof % 0.58/1.00 ( % 0.58/1.00 (declare-sort tptp.tuple02 0) % 0.58/1.00 (declare-sort tptp.bool1 0) % 0.58/1.00 (declare-sort tptp.ty 0) % 0.58/1.00 (declare-sort tptp.uni 0) % 0.58/1.00 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 0.58/1.00 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 0.58/1.00 (declare-const tptp.div1 (-> Int Int Int)) % 0.58/1.00 (declare-const tptp.mod1 (-> Int Int Int)) % 0.58/1.00 (declare-const tptp.abs1 (-> Int Int)) % 0.58/1.00 (declare-const tptp.false1 tptp.bool1) % 0.58/1.00 (declare-const tptp.true1 tptp.bool1) % 0.58/1.00 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 0.58/1.00 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 0.58/1.00 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 0.58/1.00 (declare-const tptp.tuple03 tptp.tuple02) % 0.58/1.00 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 0.58/1.00 (define @t1 () (@var "A" tptp.ty)) % 0.58/1.00 (define @t2 () (@var "X2" tptp.uni)) % 0.58/1.00 (define @t3 () (@var "X1" tptp.uni)) % 0.58/1.00 (define @t4 () (@var "X" tptp.bool1)) % 0.58/1.00 (define @t5 () (@var "Z" tptp.uni)) % 0.58/1.00 (define @t6 () (@var "Z1" tptp.uni)) % 0.58/1.00 (define @t7 () (@list @t1 @t5 @t6)) % 0.58/1.00 (define @t8 () (@var "U" tptp.bool1)) % 0.58/1.00 (define @t9 () (@var "U" tptp.tuple02)) % 0.58/1.00 (define @t10 () (@var "Z" Int)) % 0.58/1.00 (define @t11 () (@var "Y" Int)) % 0.58/1.00 (define @t12 () (@var "X" Int)) % 0.58/1.00 (define @t13 () (<= 0 @t10)) % 0.58/1.00 (define @t14 () (<= @t12 @t11)) % 0.58/1.00 (define @t15 () (@list @t12 @t11 @t10)) % 0.58/1.00 (define @t16 () (- @t12)) % 0.58/1.00 (define @t17 () (tptp.abs1 @t12)) % 0.58/1.00 (define @t18 () (= @t17 @t16)) % 0.58/1.00 (define @t19 () (<= 0 @t12)) % 0.58/1.00 (define @t20 () (not @t19)) % 0.58/1.00 (define @t21 () (=> @t20 @t18)) % 0.58/1.00 (define @t22 () (= @t17 @t12)) % 0.58/1.00 (define @t23 () (=> @t19 @t22)) % 0.58/1.00 (define @t24 () (and @t23 @t21)) % 0.58/1.00 (define @t25 () (@list @t12)) % 0.58/1.00 (define @t26 () (forall @t25 @t24)) % 0.58/1.00 (define @t27 () (@list @t12 @t11)) % 0.58/1.00 (define @t28 () (tptp.mod1 @t12 @t11)) % 0.58/1.00 (define @t29 () (tptp.div1 @t12 @t11)) % 0.58/1.00 (define @t30 () (* @t11 @t29)) % 0.58/1.00 (define @t31 () (+ @t30 @t28)) % 0.58/1.00 (define @t32 () (= @t12 @t31)) % 0.58/1.00 (define @t33 () (= @t11 0)) % 0.58/1.00 (define @t34 () (not @t33)) % 0.58/1.00 (define @t35 () (=> @t34 @t32)) % 0.58/1.00 (define @t36 () (forall @t27 @t35)) % 0.58/1.00 (define @t37 () (<= 0 @t29)) % 0.58/1.00 (define @t38 () (and @t37 (<= @t29 @t12))) % 0.58/1.00 (define @t39 () (< 0 @t11)) % 0.58/1.00 (define @t40 () (and @t19 @t39)) % 0.58/1.00 (define @t41 () (=> @t40 @t38)) % 0.58/1.00 (define @t42 () (forall @t27 @t41)) % 0.58/1.00 (define @t43 () (tptp.abs1 @t11)) % 0.58/1.00 (define @t44 () (- @t43)) % 0.58/1.00 (define @t45 () (and (< @t44 @t28) (< @t28 @t43))) % 0.58/1.00 (define @t46 () (=> @t34 @t45)) % 0.58/1.00 (define @t47 () (forall @t27 @t46)) % 0.58/1.00 (define @t48 () (=> @t40 @t37)) % 0.58/1.00 (define @t49 () (forall @t27 @t48)) % 0.58/1.00 (define @t50 () (<= @t12 0)) % 0.58/1.00 (define @t51 () (and @t50 @t39)) % 0.58/1.00 (define @t52 () (=> @t51 (<= @t29 0))) % 0.58/1.00 (define @t53 () (forall @t27 @t52)) % 0.58/1.00 (define @t54 () (and @t19 @t34)) % 0.58/1.00 (define @t55 () (=> @t54 (<= 0 @t28))) % 0.58/1.00 (define @t56 () (forall @t27 @t55)) % 0.58/1.00 (define @t57 () (and @t19 (< @t12 @t11))) % 0.58/1.00 (define @t58 () (+ (* @t12 @t11) @t10)) % 0.58/1.00 (define @t59 () (and (< 0 @t12) (<= 0 @t11) @t13)) % 0.58/1.00 (define @t60 () (@var "X" tptp.uni)) % 0.58/1.00 (define @t61 () (tptp.ref @t1)) % 0.58/1.00 (define @t62 () (@list @t1 @t60)) % 0.58/1.00 (define @t63 () (@var "U" tptp.uni)) % 0.58/1.00 (define @t64 () (@list @t1 @t63)) % 0.58/1.00 (define @t65 () (+ @t11 1)) % 0.58/1.00 (define @t66 () (* @t65 @t65)) % 0.58/1.00 (define @t67 () (< @t12 @t66)) % 0.58/1.00 (define @t68 () (* @t11 @t11)) % 0.58/1.00 (define @t69 () (<= @t68 @t12)) % 0.58/1.00 (define @t70 () (and @t69 @t67)) % 0.58/1.00 (define @t71 () (not (< @t10 @t11))) % 0.58/1.00 (define @t72 () (=> @t71 @t70)) % 0.58/1.00 (define @t73 () (+ @t10 1)) % 0.58/1.00 (define @t74 () (* @t73 @t73)) % 0.58/1.00 (define @t75 () (+ @t29 @t11)) % 0.58/1.00 (define @t76 () (tptp.div1 @t75 2)) % 0.58/1.00 (define @t77 () (= @t10 @t76)) % 0.58/1.00 (define @t78 () (and (< 0 @t10) @t39 @t77 @t67 (< @t12 @t74))) % 0.58/1.00 (define @t79 () (=> @t78 @t72)) % 0.58/1.00 (define @t80 () (@list @t10 @t11)) % 0.58/1.00 (define @t81 () (forall @t80 @t79)) % 0.58/1.00 (define @t82 () (not (<= @t12 3))) % 0.58/1.00 (define @t83 () (=> @t82 @t81)) % 0.58/1.00 (define @t84 () (= @t12 0)) % 0.58/1.00 (define @t85 () (not @t84)) % 0.58/1.00 (define @t86 () (=> @t85 @t83)) % 0.58/1.00 (define @t87 () (=> @t19 @t86)) % 0.58/1.00 (define @t88 () (forall @t25 @t87)) % 0.58/1.00 (define @t89 () (not @t88)) % 0.58/1.00 (define @t90 () (@var "BOUND_VARIABLE_7979" Int)) % 0.58/1.00 (define @t91 () (* -1 (* @t90 @t90))) % 0.58/1.00 (define @t92 () (>= (+ @t12 (* -2 @t90) @t91) 1)) % 0.58/1.00 (define @t93 () (and (>= (+ @t12 @t91) 0) (not @t92))) % 0.58/1.01 (define @t94 () (tptp.div1 (+ @t90 (tptp.div1 @t12 @t90)) 2)) % 0.58/1.01 (define @t95 () (>= (+ @t90 (* -1 @t94)) 1)) % 0.58/1.01 (define @t96 () (>= (+ @t12 (* -2 @t94) (* -1 (* @t94 @t94))) 1)) % 0.58/1.01 (define @t97 () (not (>= @t90 1))) % 0.58/1.01 (define @t98 () (not (>= @t94 1))) % 0.58/1.01 (define @t99 () (>= @t12 4)) % 0.58/1.01 (define @t100 () (not @t99)) % 0.58/1.01 (define @t101 () (>= @t12 0)) % 0.58/1.01 (define @t102 () (not @t101)) % 0.58/1.01 (define @t103 () (or @t102 @t84 @t100 @t98 @t97 @t92 @t96 @t95 @t93)) % 0.58/1.01 (define @t104 () (or @t98 @t97 @t92 @t96 @t95 @t93)) % 0.58/1.01 (define @t105 () (or @t102 @t84 @t100 @t104)) % 0.58/1.01 (define @t106 () (@list @t12 @t90)) % 0.58/1.01 (define @t107 () (forall @t106 @t105)) % 0.58/1.01 (define @t108 () (@list @t90)) % 0.58/1.01 (define @t109 () (forall @t108 @t105)) % 0.58/1.01 (define @t110 () (forall @t108 @t104)) % 0.58/1.01 (define @t111 () (or @t102 @t84 @t100 @t110)) % 0.58/1.01 (define @t112 () (* @t11 @t11)) % 0.58/1.01 (define @t113 () (* -1 @t112)) % 0.58/1.01 (define @t114 () (+ @t12 (* -2 @t11) @t113)) % 0.58/1.01 (define @t115 () (>= @t114 1)) % 0.58/1.01 (define @t116 () (not @t115)) % 0.58/1.01 (define @t117 () (+ @t12 @t113)) % 0.58/1.01 (define @t118 () (>= @t117 0)) % 0.58/1.01 (define @t119 () (and @t118 @t116)) % 0.58/1.01 (define @t120 () (+ @t11 @t29)) % 0.58/1.01 (define @t121 () (tptp.div1 @t120 2)) % 0.58/1.01 (define @t122 () (>= (+ @t11 (* -1 @t121)) 1)) % 0.58/1.01 (define @t123 () (>= (+ @t12 (* -2 @t121) (* -1 (* @t121 @t121))) 1)) % 0.58/1.01 (define @t124 () (>= @t11 1)) % 0.58/1.01 (define @t125 () (not @t124)) % 0.58/1.01 (define @t126 () (not (>= @t121 1))) % 0.58/1.01 (define @t127 () (or @t126 @t125 @t115 @t123 @t122 @t119)) % 0.58/1.01 (define @t128 () (@list @t11)) % 0.58/1.01 (define @t129 () (forall @t128 @t127)) % 0.58/1.01 (define @t130 () (or @t102 @t84 @t100 @t129)) % 0.58/1.01 (define @t131 () (or @t84 @t100 @t129)) % 0.58/1.01 (define @t132 () (=> @t99 @t129)) % 0.58/1.01 (define @t133 () (=> @t85 @t132)) % 0.58/1.01 (define @t134 () (not (= @t121 @t121))) % 0.58/1.01 (define @t135 () (or @t126 @t125 @t134 @t115 @t123 @t122 @t119)) % 0.58/1.01 (define @t136 () (+ @t11 (* -1 @t10))) % 0.58/1.01 (define @t137 () (>= @t136 1)) % 0.58/1.01 (define @t138 () (* @t10 @t10)) % 0.58/1.01 (define @t139 () (+ @t12 (* -2 @t10) (* -1 @t138))) % 0.58/1.01 (define @t140 () (>= @t139 1)) % 0.58/1.01 (define @t141 () (= @t10 @t121)) % 0.58/1.01 (define @t142 () (not @t141)) % 0.58/1.01 (define @t143 () (>= @t10 1)) % 0.58/1.01 (define @t144 () (not @t143)) % 0.58/1.01 (define @t145 () (or @t142 @t144 @t125 @t142 @t115 @t140 @t137 @t119)) % 0.58/1.01 (define @t146 () (@list @t10)) % 0.58/1.01 (define @t147 () (or @t144 @t125 @t142 @t115 @t140 @t137 @t119)) % 0.58/1.01 (define @t148 () (forall @t146 @t147)) % 0.58/1.01 (define @t149 () (forall @t128 @t148)) % 0.58/1.01 (define @t150 () (forall (@list @t11 @t10) @t147)) % 0.58/1.01 (define @t151 () (not @t137)) % 0.58/1.01 (define @t152 () (not @t140)) % 0.58/1.01 (define @t153 () (not @t152)) % 0.58/1.01 (define @t154 () (not @t116)) % 0.58/1.01 (define @t155 () (or @t144 @t125 @t142 @t154 @t153)) % 0.58/1.01 (define @t156 () (=> @t151 @t119)) % 0.58/1.01 (define @t157 () (and @t143 @t124 @t141 @t116 @t152)) % 0.58/1.01 (define @t158 () (+ 1 (* 2 @t11) @t112)) % 0.58/1.01 (define @t159 () (+ 1 @t11)) % 0.58/1.01 (define @t160 () (>= @t12 @t66)) % 0.58/1.01 (define @t161 () (+ @t136 1)) % 0.58/1.01 (define @t162 () (>= @t10 @t11)) % 0.58/1.01 (define @t163 () (+ 1 (* 2 @t10) @t138)) % 0.58/1.01 (define @t164 () (+ 1 @t10)) % 0.58/1.01 (define @t165 () (>= @t12 @t74)) % 0.58/1.01 (define @t166 () (>= 0 @t11)) % 0.58/1.01 (define @t167 () (>= 0 @t10)) % 0.58/1.01 (define @t168 () (+ 3 1)) % 0.58/1.01 (define @t169 () (>= @t12 @t168)) % 0.58/1.01 (define @t170 () (forall @t106 @t103)) % 0.58/1.01 (define @t171 () (@quantifiers_skolemize @t170 1)) % 0.58/1.01 (define @t172 () (* @t171 @t171)) % 0.58/1.01 (define @t173 () (* -1 @t172)) % 0.58/1.01 (define @t174 () (@quantifiers_skolemize @t170 0)) % 0.58/1.01 (define @t175 () (>= (+ @t174 (* -2 @t171) @t173) 1)) % 0.58/1.01 (define @t176 () (not @t175)) % 0.58/1.01 (define @t177 () (+ @t174 @t173)) % 0.58/1.01 (define @t178 () (>= @t177 0)) % 0.58/1.01 (define @t179 () (and @t178 @t176)) % 0.58/1.01 (define @t180 () (tptp.div1 @t174 @t171)) % 0.58/1.01 (define @t181 () (+ @t171 @t180)) % 0.58/1.01 (define @t182 () (tptp.div1 @t181 2)) % 0.58/1.01 (define @t183 () (* -1 @t182)) % 0.58/1.01 (define @t184 () (+ @t171 @t183)) % 0.58/1.01 (define @t185 () (>= @t184 1)) % 0.58/1.01 (define @t186 () (* @t182 @t182)) % 0.58/1.01 (define @t187 () (* -1 @t186)) % 0.58/1.01 (define @t188 () (* -2 @t182)) % 0.58/1.01 (define @t189 () (+ @t174 @t188 @t187)) % 0.58/1.01 (define @t190 () (>= @t189 1)) % 0.58/1.01 (define @t191 () (>= @t171 1)) % 0.58/1.01 (define @t192 () (not @t191)) % 0.58/1.01 (define @t193 () (>= @t182 1)) % 0.58/1.01 (define @t194 () (not @t193)) % 0.58/1.01 (define @t195 () (>= @t174 4)) % 0.58/1.01 (define @t196 () (not @t195)) % 0.58/1.01 (define @t197 () (= @t174 0)) % 0.58/1.01 (define @t198 () (>= @t174 0)) % 0.58/1.01 (define @t199 () (not @t198)) % 0.58/1.01 (define @t200 () (or @t199 @t197 @t196 @t194 @t192 @t175 @t190 @t185 @t179)) % 0.58/1.01 (define @t201 () (not @t185)) % 0.58/1.01 (define @t202 () (@list true)) % 0.58/1.01 (define @t203 () (@list @t200)) % 0.58/1.01 (define @t204 () (>= @t28 0)) % 0.58/1.01 (define @t205 () (or @t102 @t33 @t204)) % 0.58/1.01 (define @t206 () (not @t34)) % 0.58/1.01 (define @t207 () (and @t101 @t34)) % 0.58/1.01 (define @t208 () (tptp.mod1 @t181 2)) % 0.58/1.01 (define @t209 () (>= @t208 0)) % 0.58/1.01 (define @t210 () (>= @t181 0)) % 0.58/1.01 (define @t211 () (not @t210)) % 0.58/1.01 (define @t212 () (or @t211 @t209)) % 0.58/1.01 (define @t213 () (= 2 0)) % 0.58/1.01 (define @t214 () (or @t211 @t213 @t209)) % 0.58/1.01 (define @t215 () (forall @t27 @t205)) % 0.58/1.01 (define @t216 () (@list @t181 2)) % 0.58/1.01 (define @t217 () (@list false)) % 0.58/1.01 (define @t218 () (not (>= @t29 1))) % 0.58/1.01 (define @t219 () (>= @t12 1)) % 0.58/1.01 (define @t220 () (or @t219 @t125 @t218)) % 0.58/1.01 (define @t221 () (not @t219)) % 0.58/1.01 (define @t222 () (and @t221 @t124)) % 0.58/1.01 (define @t223 () (+ 0 1)) % 0.58/1.01 (define @t224 () (>= @t29 @t223)) % 0.58/1.01 (define @t225 () (>= @t12 @t223)) % 0.58/1.01 (define @t226 () (>= @t181 1)) % 0.58/1.01 (define @t227 () (or @t226 @t194)) % 0.58/1.01 (define @t228 () (>= 2 1)) % 0.58/1.01 (define @t229 () (not @t228)) % 0.58/1.01 (define @t230 () (or @t226 @t229 @t194)) % 0.58/1.01 (define @t231 () (forall @t27 @t220)) % 0.58/1.01 (define @t232 () (@list false false)) % 0.58/1.01 (define @t233 () (< @t181 0)) % 0.58/1.01 (define @t234 () (>= 0 -1)) % 0.58/1.01 (define @t235 () (+ 0 -1)) % 0.58/1.01 (define @t236 () (* -1 1)) % 0.58/1.01 (define @t237 () (+ 0 @t236)) % 0.58/1.01 (define @t238 () (+ 0 0)) % 0.58/1.01 (define @t239 () (* 0 @t171)) % 0.58/1.01 (define @t240 () (= @t239 0)) % 0.58/1.01 (define @t241 () (* 0 @t180)) % 0.58/1.01 (define @t242 () (= @t241 0)) % 0.58/1.01 (define @t243 () (+ @t241 @t239)) % 0.58/1.01 (define @t244 () (+ @t181 (* -1 @t181))) % 0.58/1.01 (define @t245 () (>= @t244 @t237)) % 0.58/1.01 (define @t246 () (< -1 0)) % 0.58/1.01 (define @t247 () (not @t226)) % 0.58/1.01 (define @t248 () (* @t11 @t29)) % 0.58/1.01 (define @t249 () (+ @t28 @t248)) % 0.58/1.01 (define @t250 () (= @t12 @t249)) % 0.58/1.01 (define @t251 () (* 2 @t182)) % 0.58/1.01 (define @t252 () (* -1 @t180)) % 0.58/1.01 (define @t253 () (+ @t252 @t251 @t208)) % 0.58/1.01 (define @t254 () (= @t171 @t253)) % 0.58/1.01 (define @t255 () (* 1 (- @t171 @t253))) % 0.58/1.01 (define @t256 () (+ @t251 @t208)) % 0.58/1.01 (define @t257 () (* 2 @t182)) % 0.58/1.01 (define @t258 () (+ @t208 @t257)) % 0.58/1.01 (define @t259 () (= @t181 @t258)) % 0.58/1.01 (define @t260 () (or @t213 @t259)) % 0.58/1.01 (define @t261 () (forall @t27 (or @t33 @t250))) % 0.58/1.01 (define @t262 () (@list @t261)) % 0.58/1.01 (define @t263 () (+ @t180 @t183)) % 0.58/1.01 (define @t264 () (>= @t263 0)) % 0.58/1.01 (define @t265 () (not @t209)) % 0.58/1.01 (define @t266 () (not @t254)) % 0.58/1.01 (define @t267 () (not @t264)) % 0.58/1.01 (define @t268 () (not @t201)) % 0.58/1.01 (define @t269 () (+ -1 1)) % 0.58/1.01 (define @t270 () (>= @t263 @t269)) % 0.58/1.01 (define @t271 () (<= @t263 -1)) % 0.58/1.01 (define @t272 () (>= 0 0)) % 0.58/1.01 (define @t273 () (* -1 0)) % 0.58/1.01 (define @t274 () (+ -1 @t273 @t273 1)) % 0.58/1.01 (define @t275 () (= (+ 0 @t188 @t251 0 0) 0)) % 0.58/1.01 (define @t276 () (* 0 @t208)) % 0.58/1.01 (define @t277 () (= @t276 0)) % 0.58/1.01 (define @t278 () (+ @t276 @t188 @t251 @t241 @t239)) % 0.58/1.01 (define @t279 () (* -1 @t208)) % 0.58/1.01 (define @t280 () (+ @t171 @t180 @t188 @t279)) % 0.58/1.01 (define @t281 () (* -1 @t280)) % 0.58/1.01 (define @t282 () (+ @t263 @t281 @t279 @t184)) % 0.58/1.01 (define @t283 () (= @t282 @t278)) % 0.58/1.01 (define @t284 () (>= @t282 @t274)) % 0.58/1.01 (define @t285 () (= @t280 0)) % 0.58/1.01 (define @t286 () (= (* 1 (- @t280 0)) @t255)) % 0.58/1.01 (define @t287 () (= @t285 @t254)) % 0.58/1.01 (define @t288 () (and @t201 @t209 @t254 @t267)) % 0.58/1.01 (define @t289 () (@list true false false)) % 0.58/1.01 (define @t290 () (+ @t171 @t252)) % 0.58/1.01 (define @t291 () (>= @t290 0)) % 0.58/1.01 (define @t292 () (not @t291)) % 0.58/1.01 (define @t293 () (>= @t184 0)) % 0.58/1.01 (define @t294 () (not @t293)) % 0.58/1.01 (define @t295 () (not @t294)) % 0.58/1.01 (define @t296 () (+ 0 0 0)) % 0.58/1.01 (define @t297 () (+ @t273 0 @t273)) % 0.58/1.01 (define @t298 () (= (+ @t180 0 @t252 0) 0)) % 0.58/1.01 (define @t299 () (* 0 @t182)) % 0.58/1.01 (define @t300 () (= @t299 0)) % 0.58/1.01 (define @t301 () (+ @t180 @t299 @t252 @t239)) % 0.58/1.01 (define @t302 () (* -1 @t263)) % 0.58/1.01 (define @t303 () (+ (* -1 @t290) @t184 @t302)) % 0.58/1.01 (define @t304 () (= @t303 @t301)) % 0.58/1.01 (define @t305 () (>= @t303 @t297)) % 0.58/1.01 (define @t306 () (>= @t171 0)) % 0.58/1.01 (define @t307 () (ite @t306 @t292 @t226)) % 0.58/1.01 (define @t308 () (>= @t29 0)) % 0.58/1.01 (define @t309 () (or @t102 @t125 @t308)) % 0.58/1.01 (define @t310 () (or @t102 @t125)) % 0.58/1.01 (define @t311 () (and @t101 @t124)) % 0.58/1.01 (define @t312 () (not @t311)) % 0.58/1.01 (define @t313 () (@list @t174 @t171)) % 0.58/1.01 (define @t314 () (>= @t180 0)) % 0.58/1.01 (define @t315 () (or @t199 @t192 @t314)) % 0.58/1.01 (define @t316 () (@list false false false)) % 0.58/1.01 (define @t317 () (>= @t290 1)) % 0.58/1.01 (define @t318 () (ite @t314 @t307 (ite @t306 @t211 @t317))) % 0.58/1.01 (define @t319 () (not @t307)) % 0.58/1.01 (define @t320 () (= @t171 0)) % 0.58/1.01 (define @t321 () (<= 0 -1)) % 0.58/1.01 (define @t322 () (* -1 @t171)) % 0.58/1.01 (define @t323 () (+ @t171 @t322)) % 0.58/1.01 (define @t324 () (= @t323 0)) % 0.58/1.01 (define @t325 () (and @t320 @t191)) % 0.58/1.01 (define @t326 () (not @t320)) % 0.58/1.01 (define @t327 () (not @t178)) % 0.58/1.01 (define @t328 () (@list true true)) % 0.58/1.01 (define @t329 () (= @t172 4)) % 0.58/1.01 (define @t330 () (not @t329)) % 0.58/1.01 (define @t331 () (not @t327)) % 0.58/1.01 (define @t332 () (* -1 4)) % 0.58/1.01 (define @t333 () (+ 4 0 @t332)) % 0.58/1.01 (define @t334 () (* -1 @t174)) % 0.58/1.01 (define @t335 () (+ @t334 @t173 @t172 @t174)) % 0.58/1.01 (define @t336 () (= @t335 0)) % 0.58/1.01 (define @t337 () (+ @t172 @t177 @t334)) % 0.58/1.01 (define @t338 () (= @t337 @t335)) % 0.58/1.01 (define @t339 () (>= @t337 @t333)) % 0.58/1.01 (define @t340 () (@list false true)) % 0.58/1.01 (define @t341 () (= @t171 2)) % 0.58/1.01 (define @t342 () (* 2 2)) % 0.58/1.01 (define @t343 () (not @t341)) % 0.58/1.01 (define @t344 () (= @t172 -1)) % 0.58/1.01 (define @t345 () (not @t344)) % 0.58/1.01 (define @t346 () (+ -1 0 @t273)) % 0.58/1.01 (define @t347 () (>= @t337 @t346)) % 0.58/1.01 (define @t348 () (@list @t198 @t178)) % 0.58/1.01 (define @t349 () (= @t172 1)) % 0.58/1.01 (define @t350 () (not @t349)) % 0.58/1.01 (define @t351 () (>= @t174 1)) % 0.58/1.01 (define @t352 () (not @t351)) % 0.58/1.01 (define @t353 () (+ 1 0 @t236)) % 0.58/1.01 (define @t354 () (>= @t337 @t353)) % 0.58/1.01 (define @t355 () (and @t351 @t327 @t349)) % 0.58/1.01 (define @t356 () (@list true false)) % 0.58/1.01 (define @t357 () (or @t349 @t344)) % 0.58/1.01 (define @t358 () (not @t357)) % 0.58/1.01 (define @t359 () (- 1)) % 0.58/1.01 (define @t360 () (= @t172 @t359)) % 0.58/1.01 (define @t361 () (or @t349 @t360)) % 0.58/1.01 (define @t362 () (= @t171 @t359)) % 0.58/1.01 (define @t363 () (= @t171 1)) % 0.58/1.01 (define @t364 () (or @t363 @t362)) % 0.58/1.01 (define @t365 () (abs 1)) % 0.58/1.01 (define @t366 () (abs @t172)) % 0.58/1.01 (define @t367 () (* 1 1)) % 0.58/1.01 (define @t368 () (abs @t367)) % 0.58/1.01 (define @t369 () (or @t363 (= @t171 -1))) % 0.58/1.01 (define @t370 () (not @t369)) % 0.58/1.01 (define @t371 () (not @t363)) % 0.58/1.01 (define @t372 () (>= @t180 1)) % 0.58/1.01 (define @t373 () (not @t372)) % 0.58/1.01 (define @t374 () (not @t371)) % 0.58/1.01 (define @t375 () (not @t343)) % 0.58/1.01 (define @t376 () (* -1 3)) % 0.58/1.01 (define @t377 () (* 2 0)) % 0.58/1.01 (define @t378 () (+ 1 @t377 @t273 @t273 @t376)) % 0.58/1.01 (define @t379 () (+ @t322 @t252 @t251 @t208)) % 0.58/1.01 (define @t380 () (+ (* 2 @t171) @t188)) % 0.58/1.01 (define @t381 () (* 2 @t184)) % 0.58/1.01 (define @t382 () (+ @t180 @t381 @t279 @t281 @t322)) % 0.58/1.01 (define @t383 () (>= @t382 @t378)) % 0.58/1.01 (define @t384 () (>= @t171 3)) % 0.58/1.01 (define @t385 () (> 2 0)) % 0.58/1.01 (define @t386 () (= @t180 0)) % 0.58/1.01 (define @t387 () (+ @t180 @t252)) % 0.58/1.01 (define @t388 () (not @t386)) % 0.58/1.01 (define @t389 () (not @t318)) % 0.58/1.01 (define @t390 () (and @t318 @t388 @t326)) % 0.58/1.01 (define @t391 () (* @t171 @t180)) % 0.58/1.01 (define @t392 () (* -1 @t391)) % 0.58/1.01 (define @t393 () (+ @t172 @t392)) % 0.58/1.01 (define @t394 () (>= @t393 1)) % 0.58/1.01 (define @t395 () (+ @t173 1)) % 0.58/1.01 (define @t396 () (>= @t392 @t395)) % 0.58/1.01 (define @t397 () (- @t172)) % 0.58/1.01 (define @t398 () (- @t391)) % 0.58/1.01 (define @t399 () (<= @t398 @t397)) % 0.58/1.01 (define @t400 () (+ @t172 @t391)) % 0.58/1.01 (define @t401 () (>= @t400 0)) % 0.58/1.01 (define @t402 () (<= @t398 @t172)) % 0.58/1.01 (define @t403 () (>= @t172 0)) % 0.58/1.01 (define @t404 () (ite @t403 (> @t398 @t172) (> @t398 @t397))) % 0.58/1.01 (define @t405 () (>= @t400 1)) % 0.58/1.01 (define @t406 () (>= @t391 @t395)) % 0.58/1.01 (define @t407 () (<= @t391 @t397)) % 0.58/1.01 (define @t408 () (>= @t393 0)) % 0.58/1.01 (define @t409 () (>= @t172 @t391)) % 0.58/1.01 (define @t410 () (ite @t403 (> @t391 @t172) (> @t391 @t397))) % 0.58/1.01 (define @t411 () (>= @t391 0)) % 0.58/1.01 (define @t412 () (ite @t411 @t410 @t404)) % 0.58/1.01 (define @t413 () (+ @t322 1)) % 0.58/1.01 (define @t414 () (>= @t252 @t413)) % 0.58/1.01 (define @t415 () (- @t171)) % 0.58/1.01 (define @t416 () (- @t180)) % 0.58/1.01 (define @t417 () (<= @t416 @t415)) % 0.58/1.01 (define @t418 () (<= @t416 @t171)) % 0.58/1.01 (define @t419 () (ite @t306 (> @t416 @t171) (> @t416 @t415))) % 0.58/1.01 (define @t420 () (>= @t180 @t413)) % 0.58/1.01 (define @t421 () (<= @t180 @t415)) % 0.58/1.01 (define @t422 () (* 1 (- @t290 0))) % 0.58/1.01 (define @t423 () (- @t171 @t180)) % 0.58/1.01 (define @t424 () (* 1 @t423)) % 0.58/1.01 (define @t425 () (>= @t171 @t180)) % 0.58/1.01 (define @t426 () (ite @t306 (> @t180 @t171) (> @t180 @t415))) % 0.58/1.01 (define @t427 () (ite @t314 @t426 @t419)) % 0.58/1.01 (define @t428 () (and @t427 @t388 @t326)) % 0.58/1.01 (define @t429 () (abs @t391)) % 0.58/1.01 (define @t430 () (+ @t366 (* -1 @t429))) % 0.58/1.01 (define @t431 () (>= @t366 @t429)) % 0.58/1.01 (define @t432 () (* @t180 @t171)) % 0.58/1.01 (define @t433 () (abs @t432)) % 0.58/1.01 (define @t434 () (<= @t433 @t366)) % 0.58/1.01 (define @t435 () (not @t390)) % 0.58/1.01 (define @t436 () (not @t408)) % 0.58/1.01 (define @t437 () (ite @t403 @t436 @t405)) % 0.58/1.01 (define @t438 () (ite @t411 @t437 (ite @t403 (not @t401) @t394))) % 0.58/1.01 (define @t439 () (not @t403)) % 0.58/1.01 (define @t440 () (+ @t273 0 0)) % 0.58/1.01 (define @t441 () (+ @t334 @t177 @t172)) % 0.58/1.01 (define @t442 () (>= @t441 @t440)) % 0.58/1.01 (define @t443 () (and @t439 @t327 @t198)) % 0.58/1.01 (define @t444 () (tptp.mod1 @t174 @t171)) % 0.58/1.01 (define @t445 () (>= @t444 0)) % 0.58/1.01 (define @t446 () (or @t199 @t320 @t445)) % 0.58/1.01 (define @t447 () (+ @t391 @t444)) % 0.58/1.01 (define @t448 () (+ @t444 @t391)) % 0.58/1.01 (define @t449 () (= @t174 @t448)) % 0.58/1.01 (define @t450 () (or @t320 @t449)) % 0.58/1.01 (define @t451 () (= @t174 @t447)) % 0.58/1.01 (define @t452 () (or @t320 @t451)) % 0.58/1.01 (define @t453 () (not @t451)) % 0.58/1.01 (define @t454 () (not @t445)) % 0.58/1.01 (define @t455 () (not @t394)) % 0.58/1.01 (define @t456 () (+ 1 -1 @t273 @t273)) % 0.58/1.01 (define @t457 () (* 0 @t174)) % 0.58/1.01 (define @t458 () (= @t457 0)) % 0.58/1.01 (define @t459 () (* 0 @t391)) % 0.58/1.01 (define @t460 () (= @t459 0)) % 0.58/1.01 (define @t461 () (* 0 @t444)) % 0.58/1.01 (define @t462 () (= @t461 0)) % 0.58/1.01 (define @t463 () (+ @t461 @t459 @t173 @t172 @t457)) % 0.58/1.01 (define @t464 () (* -1 @t444)) % 0.58/1.01 (define @t465 () (+ @t174 @t392 @t464)) % 0.58/1.01 (define @t466 () (* -1 @t465)) % 0.58/1.01 (define @t467 () (+ @t393 @t177 @t464 @t466)) % 0.58/1.01 (define @t468 () (>= @t467 @t456)) % 0.58/1.01 (define @t469 () (= @t465 0)) % 0.58/1.01 (define @t470 () (= (* 1 (- @t465 0)) (* 1 (- @t174 @t447)))) % 0.58/1.01 (define @t471 () (= @t469 @t451)) % 0.58/1.01 (define @t472 () (< @t393 0)) % 0.58/1.01 (define @t473 () (* 0 @t172)) % 0.58/1.01 (define @t474 () (= @t473 0)) % 0.58/1.01 (define @t475 () (+ @t459 @t473)) % 0.58/1.01 (define @t476 () (+ @t393 (* -1 @t393))) % 0.58/1.01 (define @t477 () (>= @t476 @t237)) % 0.58/1.01 (define @t478 () (not @t437)) % 0.58/1.01 (define @t479 () (not @t438)) % 0.58/1.01 (define @t480 () (not @t411)) % 0.58/1.01 (define @t481 () (+ @t12 (* -1 @t29))) % 0.58/1.01 (define @t482 () (>= @t481 0)) % 0.58/1.01 (define @t483 () (and @t308 @t482)) % 0.58/1.01 (define @t484 () (+ @t174 @t252)) % 0.58/1.01 (define @t485 () (>= @t484 0)) % 0.58/1.01 (define @t486 () (and @t314 @t485)) % 0.58/1.01 (define @t487 () (or @t199 @t192 @t486)) % 0.58/1.01 (define @t488 () (* -1 @t43)) % 0.58/1.01 (define @t489 () (+ @t28 @t488)) % 0.58/1.01 (define @t490 () (>= @t489 0)) % 0.58/1.01 (define @t491 () (+ @t28 @t43)) % 0.58/1.01 (define @t492 () (>= @t491 1)) % 0.58/1.01 (define @t493 () (and @t492 (not @t490))) % 0.58/1.01 (define @t494 () (>= @t28 @t43)) % 0.58/1.01 (define @t495 () (+ @t491 1)) % 0.58/1.01 (define @t496 () (>= @t44 @t28)) % 0.58/1.01 (define @t497 () (tptp.abs1 @t171)) % 0.58/1.01 (define @t498 () (* -1 @t497)) % 0.58/1.01 (define @t499 () (+ @t444 @t498)) % 0.58/1.01 (define @t500 () (>= @t499 0)) % 0.58/1.01 (define @t501 () (not @t500)) % 0.58/1.01 (define @t502 () (and (>= (+ @t444 @t497) 1) @t501)) % 0.58/1.01 (define @t503 () (or @t320 @t502)) % 0.58/1.01 (define @t504 () (* -1 @t17)) % 0.58/1.01 (define @t505 () (= @t12 @t504)) % 0.58/1.01 (define @t506 () (or @t101 @t505)) % 0.58/1.01 (define @t507 () (forall @t25 @t506)) % 0.58/1.01 (define @t508 () (@list @t12)) % 0.58/1.01 (define @t509 () (= @t12 @t17)) % 0.58/1.01 (define @t510 () (or @t102 @t509)) % 0.58/1.01 (define @t511 () (forall @t25 @t510)) % 0.58/1.01 (define @t512 () (and @t511 @t507)) % 0.58/1.01 (define @t513 () (and (=> @t101 @t509) (=> @t102 @t505))) % 0.58/1.01 (define @t514 () (* -1 @t12)) % 0.58/1.01 (define @t515 () (>= @t171 2)) % 0.58/1.01 (define @t516 () (and @t191 @t371 @t343)) % 0.58/1.01 (define @t517 () (not @t384)) % 0.58/1.01 (define @t518 () (not @t306)) % 0.58/1.01 (define @t519 () (>= @t171 @t269)) % 0.58/1.01 (define @t520 () (<= @t171 -1)) % 0.58/1.01 (define @t521 () (+ -1 @t376)) % 0.58/1.01 (define @t522 () (= @t171 @t497)) % 0.58/1.01 (define @t523 () (or @t518 @t522)) % 0.58/1.01 (define @t524 () (not @t522)) % 0.58/1.01 (define @t525 () (not @t485)) % 0.58/1.01 (define @t526 () (not @t480)) % 0.58/1.01 (define @t527 () (not @t501)) % 0.58/1.01 (define @t528 () (< @t499 0)) % 0.58/1.01 (define @t529 () (+ 0 0 @t273 @t377 @t273 @t273 @t273 0)) % 0.58/1.01 (define @t530 () (* 0 @t497)) % 0.58/1.01 (define @t531 () (= @t530 0)) % 0.58/1.01 (define @t532 () (+ @t530 @t276 @t464 @t392 @t444 @t391 @t180 @t188 @t251 @t252 @t239 @t457)) % 0.58/1.01 (define @t533 () (+ @t171 @t498)) % 0.58/1.01 (define @t534 () (* -1 @t533)) % 0.58/1.01 (define @t535 () (* -1 @t484)) % 0.58/1.01 (define @t536 () (+ @t499 @t465 @t535 @t381 @t281 @t279 @t534 @t391)) % 0.58/1.01 (define @t537 () (>= @t536 @t529)) % 0.58/1.01 (define @t538 () (= @t533 0)) % 0.58/1.01 (define @t539 () (= (* 1 (- @t533 0)) (* 1 (- @t171 @t497)))) % 0.58/1.01 (define @t540 () (= @t538 @t522)) % 0.58/1.01 (define @t541 () (and @t480 @t522 @t209 @t254 @t294 @t485 @t451 @t501)) % 0.58/1.01 (define @t542 () (= @t171 @t182)) % 0.58/1.01 (define @t543 () (not @t542)) % 0.58/1.01 (define @t544 () (not @t543)) % 0.58/1.01 (define @t545 () (* 1 (- @t171 @t182))) % 0.58/1.01 (define @t546 () (* 1 (- @t184 0))) % 0.58/1.01 (define @t547 () (= @t546 @t545)) % 0.58/1.01 (define @t548 () (= @t184 0)) % 0.58/1.01 (define @t549 () (= @t548 @t542)) % 0.58/1.01 (define @t550 () (not @t548)) % 0.58/1.01 (define @t551 () (and @t201 @t543)) % 0.58/1.01 (define @t552 () (= @t186 @t391)) % 0.58/1.01 (define @t553 () (not @t552)) % 0.58/1.01 (define @t554 () (= @t172 @t186)) % 0.58/1.01 (define @t555 () (not @t554)) % 0.58/1.01 (define @t556 () (+ @t172 @t187)) % 0.58/1.01 (define @t557 () (= @t556 0)) % 0.58/1.01 (define @t558 () (+ 0 @t273 0 0 @t273)) % 0.58/1.01 (define @t559 () (= (+ 0 0 @t187 @t186 @t173 @t172 0) 0)) % 0.58/1.01 (define @t560 () (+ @t461 @t459 @t187 @t186 @t173 @t172 @t457)) % 0.58/1.01 (define @t561 () (+ @t186 @t392)) % 0.58/1.01 (define @t562 () (+ @t556 @t466 @t561 @t177 @t464)) % 0.58/1.01 (define @t563 () (>= @t562 @t558)) % 0.58/1.01 (define @t564 () (= (* -1 (- @t561 0)) (* -1 (- @t186 @t391)))) % 0.58/1.01 (define @t565 () (= (= @t561 0) @t552)) % 0.58/1.01 (define @t566 () (* 1 (- @t172 @t186))) % 0.58/1.01 (define @t567 () (* 1 (- @t556 0))) % 0.58/1.01 (define @t568 () (and @t445 @t327 @t552 @t451 @t554)) % 0.58/1.01 (define @t569 () (not @t200)) % 0.58/1.01 (define @t570 () (not @t170)) % 0.58/1.01 (define @t571 () (>= @t263 1)) % 0.58/1.01 (define @t572 () (not @t571)) % 0.58/1.01 (define @t573 () (not @t572)) % 0.58/1.01 (define @t574 () (< @t263 1)) % 0.58/1.01 (define @t575 () (+ 1 @t273 @t273 -1)) % 0.58/1.01 (define @t576 () (>= @t282 @t575)) % 0.58/1.01 (define @t577 () (and @t201 @t543 @t209 @t254 @t572)) % 0.58/1.01 (define @t578 () (not @t555)) % 0.58/1.01 (define @t579 () (and @t552 @t264 @t572 @t542 @t555)) % 0.58/1.01 (define @t580 () (= false true)) % 0.58/1.01 (define @t581 () (= (* 1 (- @t263 0)) (* 1 (- @t180 @t182)))) % 0.58/1.01 (define @t582 () (= @t180 @t182)) % 0.58/1.01 (define @t583 () (= (= @t263 0) @t582)) % 0.58/1.01 (define @t584 () (>= @t556 1)) % 0.58/1.01 (define @t585 () (not @t584)) % 0.58/1.01 (define @t586 () (+ 1 @t273 @t273 0 -1)) % 0.58/1.01 (define @t587 () (+ @t556 @t466 @t464 @t561 @t177)) % 0.58/1.01 (define @t588 () (>= @t587 @t586)) % 0.58/1.01 (define @t589 () (and @t542 @t555)) % 0.58/1.01 (define @t590 () (not @t190)) % 0.58/1.01 (define @t591 () (+ @t172 @t186)) % 0.58/1.01 (define @t592 () (>= @t591 1)) % 0.58/1.01 (define @t593 () (not @t592)) % 0.58/1.01 (define @t594 () (< @t591 1)) % 0.58/1.01 (define @t595 () (* -2 0)) % 0.58/1.01 (define @t596 () (* -2 1)) % 0.58/1.01 (define @t597 () (+ 1 1 0 @t596 @t595)) % 0.58/1.01 (define @t598 () (* -2 @t180)) % 0.58/1.01 (define @t599 () (* 2 @t180)) % 0.58/1.01 (define @t600 () (+ @t599 @t251 @t187 @t186 @t188 @t173 @t172 @t598 @t457)) % 0.58/1.01 (define @t601 () (+ @t591 @t189 @t177 (* -2 @t263) (* -2 @t484))) % 0.58/1.01 (define @t602 () (>= @t601 @t597)) % 0.58/1.01 (define @t603 () (and @t485 @t571 @t327 @t590 @t593)) % 0.58/1.01 (define @t604 () (>= @t591 0)) % 0.58/1.01 (define @t605 () (>= @t172 @t187)) % 0.58/1.01 (define @t606 () (= @t605 @t604)) % 0.58/1.01 (define @t607 () (* -1 (- @t591 1))) % 0.58/1.01 (define @t608 () (+ @t187 1)) % 0.58/1.01 (define @t609 () (>= @t172 @t608)) % 0.58/1.01 (define @t610 () (<= @t172 @t187)) % 0.58/1.01 (define @t611 () (not @t605)) % 0.58/1.01 (define @t612 () (not @t610)) % 0.58/1.01 (define @t613 () (* -1 @t187)) % 0.58/1.01 (define @t614 () (+ @t613 @t187)) % 0.58/1.01 (define @t615 () (+ @t173 @t172)) % 0.58/1.01 (define @t616 () (>= @t615 @t614)) % 0.58/1.01 (define @t617 () (not @t604)) % 0.58/1.01 (define @t618 () (ite @t403 @t617 @t584)) % 0.58/1.01 (define @t619 () (>= @t556 0)) % 0.58/1.01 (define @t620 () (< @t556 0)) % 0.58/1.01 (define @t621 () (* 0 @t186)) % 0.58/1.01 (define @t622 () (+ @t621 @t473)) % 0.58/1.01 (define @t623 () (+ @t556 (* -1 @t556))) % 0.58/1.01 (define @t624 () (>= @t623 @t237)) % 0.58/1.01 (define @t625 () (+ @t171 @t182)) % 0.58/1.01 (define @t626 () (>= @t625 1)) % 0.58/1.01 (define @t627 () (ite @t306 @t294 @t626)) % 0.58/1.01 (define @t628 () (not @t619)) % 0.58/1.01 (define @t629 () (ite @t403 @t628 @t592)) % 0.58/1.01 (define @t630 () (>= @t182 0)) % 0.58/1.01 (define @t631 () (or @t211 @t630)) % 0.58/1.01 (define @t632 () (or @t211 @t229 @t630)) % 0.58/1.01 (define @t633 () (forall @t27 @t309)) % 0.58/1.01 (define @t634 () (>= @t625 0)) % 0.58/1.01 (define @t635 () (ite @t630 @t627 (ite @t306 (not @t634) @t185))) % 0.58/1.01 (define @t636 () (>= @t186 0)) % 0.58/1.01 (define @t637 () (ite @t636 @t629 @t618)) % 0.58/1.01 (define @t638 () (>= @t182 2)) % 0.58/1.01 (define @t639 () (not @t638)) % 0.58/1.01 (define @t640 () (+ 2 @t376 0)) % 0.58/1.01 (define @t641 () (+ @t322 @t183 @t182 @t171)) % 0.58/1.01 (define @t642 () (+ @t182 @t322 @t184)) % 0.58/1.01 (define @t643 () (>= @t642 @t640)) % 0.58/1.01 (define @t644 () (= @t182 0)) % 0.58/1.01 (define @t645 () (* -1 2)) % 0.58/1.01 (define @t646 () (+ 0 @t645)) % 0.58/1.01 (define @t647 () (+ @t182 @t183)) % 0.58/1.01 (define @t648 () (not @t644)) % 0.58/1.01 (define @t649 () (not @t635)) % 0.58/1.01 (define @t650 () (and @t635 @t648)) % 0.58/1.01 (define @t651 () (>= @t187 @t395)) % 0.58/1.01 (define @t652 () (- @t186)) % 0.58/1.01 (define @t653 () (<= @t652 @t397)) % 0.58/1.01 (define @t654 () (<= @t652 @t172)) % 0.58/1.01 (define @t655 () (ite @t403 (> @t652 @t172) (> @t652 @t397))) % 0.58/1.01 (define @t656 () (>= @t186 @t395)) % 0.58/1.01 (define @t657 () (<= @t186 @t397)) % 0.58/1.01 (define @t658 () (>= @t172 @t186)) % 0.58/1.01 (define @t659 () (ite @t403 (> @t186 @t172) (> @t186 @t397))) % 0.58/1.01 (define @t660 () (ite @t636 @t659 @t655)) % 0.58/1.01 (define @t661 () (>= @t183 @t413)) % 0.58/1.01 (define @t662 () (- @t182)) % 0.58/1.01 (define @t663 () (<= @t662 @t415)) % 0.58/1.01 (define @t664 () (<= @t662 @t171)) % 0.58/1.01 (define @t665 () (ite @t306 (> @t662 @t171) (> @t662 @t415))) % 0.58/1.01 (define @t666 () (>= @t182 @t413)) % 0.58/1.01 (define @t667 () (<= @t182 @t415)) % 0.58/1.01 (define @t668 () (>= @t171 @t182)) % 0.58/1.01 (define @t669 () (ite @t306 (> @t182 @t171) (> @t182 @t415))) % 0.58/1.01 (define @t670 () (ite @t630 @t669 @t665)) % 0.58/1.01 (define @t671 () (and @t670 @t648)) % 0.58/1.01 (define @t672 () (and @t553 @t542 @t264 @t572)) % 0.58/1.01 (define @t673 () (= true false)) % 0.58/1.01 (define @t674 () (+ @t273 @t273 0 0 @t273 0 0)) % 0.58/1.01 (define @t675 () (+ @t530 @t464 @t392 @t444 @t391 @t180 @t299 @t252 @t239 @t457)) % 0.58/1.01 (define @t676 () (+ @t535 @t534 @t465 @t391 @t302 @t499 @t184)) % 0.58/1.01 (define @t677 () (>= @t676 @t674)) % 0.58/1.01 (define @t678 () (and @t201 @t501 @t264 @t480 @t451 @t522 @t485)) % 0.58/1.01 (define @t679 () (= @t171 @t180)) % 0.58/1.01 (define @t680 () (not @t679)) % 0.58/1.01 (define @t681 () (+ @t236 1 @t273)) % 0.58/1.01 (define @t682 () (>= @t303 @t681)) % 0.58/1.01 (define @t683 () (= @t290 0)) % 0.58/1.01 (define @t684 () (= @t180 @t171)) % 0.58/1.01 (define @t685 () (+ -1 @t182)) % 0.58/1.01 (define @t686 () (- @t685 @t182)) % 0.58/1.01 (define @t687 () (+ @t182 @t236)) % 0.58/1.01 (define @t688 () (+ @t252 @t182)) % 0.58/1.01 (define @t689 () (+ @t180 @t302)) % 0.58/1.01 (define @t690 () (and @t264 @t201 @t680 @t291)) % 0.58/1.01 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 0.58/1.01 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 0.58/1.01 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 0.58/1.01 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 0.58/1.01 (assume @p5 (not (= tptp.true1 tptp.false1))) % 0.58/1.01 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 0.58/1.01 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 0.58/1.01 (assume @p8 (forall @t15 (=> @t14 (=> @t13 (<= (* @t12 @t10) (* @t11 @t10)))))) % 0.58/1.01 (assume @p9 @t26) % 0.58/1.01 (assume @p10 (forall @t27 (= (<= @t17 @t11) (and (<= (- @t11) @t12) @t14)))) % 0.58/1.01 (assume @p11 (forall @t25 (<= 0 @t17))) % 0.58/1.01 (assume @p12 @t36) % 0.58/1.01 (assume @p13 @t42) % 0.58/1.01 (assume @p14 @t47) % 0.58/1.01 (assume @p15 @t49) % 0.58/1.01 (assume @p16 @t53) % 0.58/1.01 (assume @p17 @t56) % 0.58/1.01 (assume @p18 (forall @t27 (=> (and @t50 @t34) (<= @t28 0)))) % 0.58/1.01 (assume @p19 (forall @t27 (=> @t34 (<= (tptp.abs1 (* @t29 @t11)) @t17)))) % 0.58/1.01 (assume @p20 (forall @t25 (= (tptp.div1 @t12 1) @t12))) % 0.58/1.01 (assume @p21 (forall @t25 (= (tptp.mod1 @t12 1) 0))) % 0.58/1.01 (assume @p22 (forall @t27 (=> @t57 (= @t29 0)))) % 0.58/1.01 (assume @p23 (forall @t27 (=> @t57 (= @t28 @t12)))) % 0.58/1.01 (assume @p24 (forall @t15 (=> @t59 (= (tptp.div1 @t58 @t12) (+ @t11 (tptp.div1 @t10 @t12)))))) % 0.58/1.01 (assume @p25 (forall @t15 (=> @t59 (= (tptp.mod1 @t58 @t12) (tptp.mod1 @t10 @t12))))) % 0.58/1.01 (assume @p26 (forall @t62 (tptp.sort1 @t61 (tptp.mk_ref @t1 @t60)))) % 0.58/1.01 (assume @p27 (forall @t62 (tptp.sort1 @t1 (tptp.contents @t1 @t60)))) % 0.58/1.01 (assume @p28 (forall @t64 (=> (tptp.sort1 @t1 @t63) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t63)) @t63)))) % 0.58/1.01 (assume @p29 (forall @t64 (=> (tptp.sort1 @t61 @t63) (= @t63 (tptp.mk_ref @t1 (tptp.contents @t1 @t63)))))) % 0.58/1.01 (assume @p30 @t89) % 0.58/1.01 (assume @p31 true) % 0.58/1.01 (step @p32 :rule aci_norm :args ((= @t105 @t103))) % 0.58/1.01 (step @p33 :rule cong :premises (@p32) :args (@t107)) % 0.58/1.01 (step @p34 :rule quant-merge-prenex :args ((= (forall @t25 @t109) @t107))) % 0.58/1.01 (step @p35 :rule alpha_equiv :args (@t110 (@list @t90) (@list @t11))) % 0.58/1.01 (step @p36 :rule refl :args (@t100)) % 0.58/1.01 (step @p37 :rule refl :args (@t84)) % 0.58/1.01 (step @p38 :rule refl :args (@t102)) % 0.58/1.01 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36 @p35) :args (@t111)) % 0.58/1.01 (step @p40 :rule quant-miniscope-or :args ((= @t109 @t111))) % 0.58/1.01 (step @p41 :rule trans :premises (@p40 @p39)) % 0.58/1.01 (step @p42 :rule symm :premises (@p41)) % 0.58/1.01 (step @p43 :rule cong :premises (@p42) :args ((forall @t25 @t130))) % 0.58/1.01 (step @p44 :rule trans :premises (@p43 @p34)) % 0.58/1.01 (step @p45 :rule trans :premises (@p44 @p33)) % 0.58/1.01 (step @p46 :rule aci_norm :args ((= (or @t102 @t131) @t130))) % 0.58/1.01 (step @p47 :rule aci_norm :args ((= (or @t84 (or @t100 @t129)) @t131))) % 0.58/1.01 (step @p48 :rule bool-impl-elim :args (@t99 @t129)) % 0.58/1.01 (step @p49 :rule nary_cong :premises (@p37 @p48) :args ((or @t84 @t132))) % 0.58/1.01 (step @p50 :rule trans :premises (@p49 @p47)) % 0.58/1.01 (step @p51 :rule refl :args (@t132)) % 0.58/1.01 (step @p52 :rule bool-double-not-elim :args (@t84)) % 0.58/1.01 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t85) @t132))) % 0.58/1.01 (step @p54 :rule bool-impl-elim :args (@t85 @t132)) % 0.58/1.01 (step @p55 :rule trans :premises (@p54 @p53)) % 0.58/1.01 (step @p56 :rule trans :premises (@p55 @p50)) % 0.58/1.01 (step @p57 :rule nary_cong :premises (@p38 @p56) :args ((or @t102 @t133))) % 0.58/1.01 (step @p58 :rule trans :premises (@p57 @p46)) % 0.58/1.01 (step @p59 :rule bool-impl-elim :args (@t101 @t133)) % 0.58/1.01 (step @p60 :rule trans :premises (@p59 @p58)) % 0.58/1.01 (step @p61 :rule cong :premises (@p60) :args ((forall @t25 (=> @t101 @t133)))) % 0.58/1.01 (step @p62 :rule trans :premises (@p61 @p45)) % 0.58/1.01 (step @p63 :rule aci_norm :args ((= (or @t126 @t125 false @t115 @t123 @t122 @t119) @t127))) % 0.58/1.01 (step @p64 :rule refl :args (@t119)) % 0.58/1.01 (step @p65 :rule refl :args (@t122)) % 0.58/1.01 (step @p66 :rule refl :args (@t123)) % 0.58/1.01 (step @p67 :rule refl :args (@t115)) % 0.58/1.01 (step @p68 :rule evaluate :args ((not true))) % 0.58/1.01 (step @p69 :rule eq-refl :args (@t121)) % 0.58/1.01 (step @p70 :rule cong :premises (@p69) :args (@t134)) % 0.58/1.01 (step @p71 :rule trans :premises (@p70 @p68)) % 0.58/1.01 (step @p72 :rule refl :args (@t125)) % 0.58/1.01 (step @p73 :rule refl :args (@t126)) % 0.58/1.01 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71 @p67 @p66 @p65 @p64) :args (@t135)) % 0.58/1.01 (step @p75 :rule trans :premises (@p74 @p63)) % 0.58/1.01 (step @p76 :rule cong :premises (@p75) :args ((forall @t128 @t135))) % 0.58/1.01 (step @p77 :rule quant-var-elim-eq :args ((= (forall @t146 @t145) @t135))) % 0.58/1.01 (step @p78 :rule aci_norm :args ((= @t147 @t145))) % 0.58/1.01 (step @p79 :rule cong :premises (@p78) :args (@t148)) % 0.58/1.01 (step @p80 :rule trans :premises (@p79 @p77)) % 0.58/1.01 (step @p81 :rule cong :premises (@p80) :args (@t149)) % 0.58/1.01 (step @p82 :rule quant-merge-prenex :args ((= @t149 @t150))) % 0.58/1.01 (step @p83 :rule symm :premises (@p82)) % 0.58/1.01 (step @p84 :rule quant_var_reordering :args ((= (forall @t80 @t147) @t150))) % 0.58/1.01 (step @p85 :rule trans :premises (@p84 @p83 @p81)) % 0.58/1.01 (step @p86 :rule trans :premises (@p85 @p76)) % 0.58/1.01 (step @p87 :rule aci_norm :args ((= (or (or @t144 @t125 @t142 @t115 @t140) (or @t137 @t119)) @t147))) % 0.58/1.01 (step @p88 :rule refl :args (@t119)) % 0.58/1.01 (step @p89 :rule bool-double-not-elim :args (@t137)) % 0.58/1.01 (step @p90 :rule nary_cong :premises (@p89 @p88) :args ((or (not @t151) @t119))) % 0.58/1.01 (step @p91 :rule bool-impl-elim :args (@t151 @t119)) % 0.58/1.01 (step @p92 :rule trans :premises (@p91 @p90)) % 0.58/1.01 (step @p93 :rule bool-double-not-elim :args (@t140)) % 0.58/1.01 (step @p94 :rule bool-double-not-elim :args (@t115)) % 0.58/1.01 (step @p95 :rule refl :args (@t142)) % 0.58/1.01 (step @p96 :rule refl :args (@t125)) % 0.58/1.01 (step @p97 :rule refl :args (@t144)) % 0.58/1.01 (step @p98 :rule nary_cong :premises (@p97 @p96 @p95 @p94 @p93) :args (@t155)) % 0.58/1.01 (step @p99 :rule aci_norm :args ((= (or @t144 (or @t125 (or @t142 (or @t154 @t153)))) @t155))) % 0.58/1.01 (step @p100 :rule trans :premises (@p99 @p98)) % 0.58/1.01 (step @p101 :rule bool-and-de-morgan :args (@t116 @t152 true)) % 0.58/1.01 (step @p102 :rule nary_cong :premises (@p95 @p101) :args ((or @t142 (not (and @t116 @t152))))) % 0.58/1.01 (step @p103 :rule bool-and-de-morgan :args (@t141 @t116 (and @t152))) % 0.58/1.01 (step @p104 :rule trans :premises (@p103 @p102)) % 0.58/1.01 (step @p105 :rule nary_cong :premises (@p96 @p104) :args ((or @t125 (not (and @t141 @t116 @t152))))) % 0.58/1.01 (step @p106 :rule bool-and-de-morgan :args (@t124 @t141 (and @t116 @t152))) % 0.58/1.01 (step @p107 :rule trans :premises (@p106 @p105)) % 0.58/1.01 (step @p108 :rule nary_cong :premises (@p97 @p107) :args ((or @t144 (not (and @t124 @t141 @t116 @t152))))) % 0.58/1.01 (step @p109 :rule bool-and-de-morgan :args (@t143 @t124 (and @t141 @t116 @t152))) % 0.58/1.01 (step @p110 :rule trans :premises (@p109 @p108)) % 0.58/1.01 (step @p111 :rule trans :premises (@p110 @p100)) % 0.58/1.01 (step @p112 :rule nary_cong :premises (@p111 @p92) :args ((or (not @t157) @t156))) % 0.58/1.01 (step @p113 :rule trans :premises (@p112 @p87)) % 0.58/1.01 (step @p114 :rule bool-impl-elim :args (@t157 @t156)) % 0.58/1.01 (step @p115 :rule trans :premises (@p114 @p113)) % 0.58/1.01 (step @p116 :rule cong :premises (@p115) :args ((forall @t80 (=> @t157 @t156)))) % 0.58/1.01 (step @p117 :rule trans :premises (@p116 @p86)) % 0.58/1.01 (step @p118 :rule arith_poly_norm :args ((= (* -1 (- @t12 @t158)) (* -1 (- @t114 1))))) % 0.58/1.01 (step @p119 :rule arith_poly_norm_rel :premises (@p118) :args ((= (>= @t12 @t158) @t115))) % 0.58/1.01 (step @p120 :rule arith_poly_norm :args ((= (* @t159 @t159) @t158))) % 0.58/1.01 (step @p121 :rule arith_poly_norm :args ((= @t65 @t159))) % 0.58/1.01 (step @p122 :rule nary_cong :premises (@p121 @p121) :args (@t66)) % 0.58/1.01 (step @p123 :rule trans :premises (@p122 @p120)) % 0.58/1.01 (step @p124 :rule refl :args (@t12)) % 0.58/1.01 (step @p125 :rule cong :premises (@p124 @p123) :args (@t160)) % 0.58/1.01 (step @p126 :rule trans :premises (@p125 @p119)) % 0.58/1.01 (step @p127 :rule cong :premises (@p126) :args ((not @t160))) % 0.58/1.01 (step @p128 :rule arith-elim-lt :args (@t12 @t66)) % 0.58/1.01 (step @p129 :rule trans :premises (@p128 @p127)) % 0.58/1.01 (step @p130 :rule arith_poly_norm :args ((= (* 1 (- @t12 @t112)) (* 1 (- @t117 0))))) % 0.58/1.01 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0.58/1.02 (step @p1398 :rule arith-elim-lt :args (@t391 0)) % 0.58/1.02 (step @p1399 :rule symm :premises (@p1398)) % 0.58/1.02 (step @p2203 :rule eq_resolve :premises (@p2712 @p1399)) % 0.58/1.02 (step @p1126 :rule arith_poly_norm :args (@t470)) % 0.58/1.02 (step @p1127 :rule arith_poly_norm_rel :premises (@p1126) :args (@t471)) % 0.58/1.02 (step @p1128 :rule symm :premises (@p1127)) % 0.58/1.02 (step @p2204 :rule eq_resolve :premises (@p2713 @p1128)) % 0.58/1.02 (step @p1401 :rule arith_mult_neg :args (-1 @t538)) % 0.58/1.02 (step @p1402 :rule arith_poly_norm :args (@t539)) % 0.58/1.02 (step @p1403 :rule arith_poly_norm_rel :premises (@p1402) :args (@t540)) % 0.58/1.02 (step @p1404 :rule symm :premises (@p1403)) % 0.58/1.02 (step @p2205 :rule eq_resolve :premises (@p2714 @p1404)) % 0.58/1.02 (step @p2206 :rule and_intro :premises (@p324 @p2205)) % 0.58/1.02 (step @p2207 :rule modus_ponens :premises (@p2206 @p1401)) % 0.58/1.02 (step @p1414 :rule arith_mult_neg :args (-1 @t485)) % 0.58/1.02 (step @p1415 :rule and_intro :premises (@p324 @p1211)) % 0.58/1.02 (step @p1416 :rule modus_ponens :premises (@p1415 @p1414)) % 0.58/1.02 (step @p2208 :rule arith_sum_ub :premises (@p1416 @p2207 @p2204 @p2203 @p2202 @p2200 @p814)) % 0.58/1.02 (step @p2209 false :rule eq_resolve :premises (@p2208 @p2199)) % 0.58/1.02 (step-pop @p2717 :rule scope :premises (@p2209)) % 0.58/1.02 (step @p2210 :rule process_scope :premises (@p2717) :args (false)) % 0.58/1.02 (step @p2212 :rule eq_resolve :premises (@p2210 @p2184)) % 0.58/1.02 (step @p2213 :rule eq_resolve :premises (@p2212 @p2183)) % 0.58/1.02 (step @p2214 false :rule contra :premises (@p1211 @p2213)) % 0.58/1.02 (step-pop @p2718 :rule scope :premises (@p2214)) % 0.58/1.02 (step-pop @p2719 :rule scope :premises (@p2718)) % 0.58/1.02 (step-pop @p2720 :rule scope :premises (@p2719)) % 0.58/1.02 (step-pop @p2721 :rule scope :premises (@p2720)) % 0.58/1.02 (step-pop @p2722 :rule scope :premises (@p2721)) % 0.58/1.02 (step-pop @p2723 :rule scope :premises (@p2722)) % 0.58/1.02 (step-pop @p2724 :rule scope :premises (@p2723)) % 0.58/1.02 (step @p2215 :rule process_scope :premises (@p2724) :args (false)) % 0.58/1.02 (assume-push @p2725 @t201) % 0.58/1.02 (assume-push @p2726 @t451) % 0.58/1.02 (assume-push @p2727 @t485) % 0.58/1.02 (assume-push @p2728 @t501) % 0.58/1.02 (assume-push @p2729 @t522) % 0.58/1.02 (assume-push @p2730 @t264) % 0.58/1.02 (assume-push @p2731 @t480) % 0.58/1.02 (step @p2230 :rule and_intro :premises (@p209 @p2728 @p2730 @p2731 @p2726 @p2729 @p1211)) % 0.58/1.02 (step-pop @p2732 :rule scope :premises (@p2230)) % 0.58/1.02 (step-pop @p2733 :rule scope :premises (@p2732)) % 0.58/1.02 (step-pop @p2734 :rule scope :premises (@p2733)) % 0.58/1.02 (step-pop @p2735 :rule scope :premises (@p2734)) % 0.58/1.02 (step-pop @p2736 :rule scope :premises (@p2735)) % 0.58/1.02 (step-pop @p2737 :rule scope :premises (@p2736)) % 0.58/1.02 (step-pop @p2738 :rule scope :premises (@p2737)) % 0.58/1.02 (step @p2231 :rule process_scope :premises (@p2738) :args (@t678)) % 0.58/1.02 (step @p2239 :rule implies_elim :premises (@p2231)) % 0.58/1.02 (step @p2240 :rule resolution :premises (@p2239 @p2215) :args (true @t678)) % 0.58/1.02 (step @p2241 :rule not_and :premises (@p2240)) % 0.58/1.02 (step @p2242 :rule eq_resolve :premises (@p2241 @p2175)) % 0.58/1.02 (step @p2243 :rule chain_m_resolution :premises (@p2242 @p209 @p1099 @p1211 @p1246 @p1361 @p470) :args (@t411 (@list true false false true false false) (@list @t185 @t451 @t485 @t500 @t522 @t264))) % 0.58/1.02 (step @p2244 :rule chain_m_resolution :premises (@p1188 @p1186 @p2243) :args (@t479 @t356 (@list @t437 @t411))) % 0.58/1.02 (step @p2245 :rule chain_m_resolution :premises (@p1034 @p2244) :args (@t435 @t202 (@list @t438))) % 0.58/1.02 (step @p2246 :rule chain_m_resolution :premises (@p863 @p586 @p855 @p2245) :args (@t389 (@list true true true) (@list @t320 @t386 @t390))) % 0.58/1.02 (step @p2247 :rule chain_m_resolution :premises (@p558 @p556 @p2246) :args (@t319 @t340 (@list @t314 @t318))) % 0.58/1.02 (step @p2248 :rule chain_m_resolution :premises (@p526 @p295 @p2247) :args (@t291 @t340 (@list @t226 @t307))) % 0.58/1.02 (step @p2249 :rule nary_cong :premises (@p383 @p1734 @p473 @p1459 @p471) :args ((or @t268 @t572 @t267 @t294 @t292))) % 0.58/1.02 (assume-push @p2739 @t264) % 0.58/1.02 (assume-push @p2740 @t201) % 0.58/1.02 (assume-push @p2741 @t680) % 0.58/1.02 (assume-push @p2742 @t291) % 0.58/1.02 (step @p2254 :rule arith-elim-lt :args (@t290 1)) % 0.58/1.02 (step @p2255 :rule symm :premises (@p2254)) % 0.58/1.02 (assume-push @p2743 @t317) % 0.58/1.02 (step @p406 :rule evaluate :args (@t272)) % 0.58/1.02 (step @p2257 :rule evaluate :args ((+ -1 1 0))) % 0.58/1.02 (step @p409 :rule evaluate :args (@t273)) % 0.58/1.02 (step @p408 :rule refl :args (1)) % 0.58/1.02 (step @p305 :rule evaluate :args (@t236)) % 0.58/1.02 (step @p2258 :rule nary_cong :premises (@p305 @p408 @p409) :args (@t681)) % 0.58/1.02 (step @p2259 :rule trans :premises (@p2258 @p2257)) % 0.58/1.02 (step @p484 :rule arith_poly_norm :args (@t298)) % 0.58/1.02 (step @p310 :rule arith_poly_norm :args (@t240)) % 0.58/1.02 (step @p485 :rule refl :args (@t252)) % 0.58/1.02 (step @p486 :rule arith_poly_norm :args (@t300)) % 0.58/1.02 (step @p488 :rule nary_cong :premises (@p487 @p486 @p485 @p310) :args (@t301)) % 0.58/1.02 (step @p489 :rule trans :premises (@p488 @p484)) % 0.58/1.02 (step @p490 :rule arith_poly_norm :args (@t304)) % 0.58/1.02 (step @p491 :rule trans :premises (@p490 @p489)) % 0.58/1.02 (step @p2260 :rule cong :premises (@p491 @p2259) :args (@t682)) % 0.58/1.02 (step @p2261 :rule trans :premises (@p2260 @p406)) % 0.58/1.02 (step @p2262 :rule cong :premises (@p2261) :args ((not @t682))) % 0.58/1.02 (step @p2263 :rule trans :premises (@p2262 @p68)) % 0.58/1.02 (step @p2264 :rule arith-elim-lt :args (@t303 @t681)) % 0.58/1.02 (step @p2265 :rule trans :premises (@p2264 @p2263)) % 0.58/1.02 (step @p498 :rule arith_mult_neg :args (-1 @t264)) % 0.58/1.02 (step @p323 :rule evaluate :args (@t246)) % 0.58/1.02 (step @p324 :rule true_elim :premises (@p323)) % 0.58/1.02 (step @p2266 :rule and_intro :premises (@p324 @p2739)) % 0.58/1.02 (step @p2267 :rule modus_ponens :premises (@p2266 @p498)) % 0.58/1.02 (step @p427 :rule arith-elim-lt :args (@t184 1)) % 0.58/1.02 (step @p428 :rule symm :premises (@p427)) % 0.58/1.02 (step @p429 :rule eq_resolve :premises (@p209 @p428)) % 0.58/1.02 (step @p2268 :rule arith_mult_neg :args (-1 @t317)) % 0.58/1.02 (step @p2269 :rule and_intro :premises (@p324 @p2743)) % 0.58/1.02 (step @p2270 :rule modus_ponens :premises (@p2269 @p2268)) % 0.58/1.02 (step @p2271 :rule arith_sum_ub :premises (@p2270 @p429 @p2267)) % 0.58/1.02 (step @p2272 false :rule eq_resolve :premises (@p2271 @p2265)) % 0.58/1.02 (step-pop @p2744 :rule scope :premises (@p2272)) % 0.58/1.02 (step @p2273 :rule process_scope :premises (@p2744) :args (false)) % 0.58/1.02 (step @p2275 :rule eq_resolve :premises (@p2273 @p2255)) % 0.58/1.02 (step @p2276 :rule eq_resolve :premises (@p2275 @p2254)) % 0.58/1.02 (step @p2277 :rule arith_poly_norm :args ((= @t422 @t424))) % 0.58/1.02 (step @p2278 :rule arith_poly_norm_rel :premises (@p2277) :args ((= @t683 @t679))) % 0.58/1.02 (step @p2279 :rule cong :premises (@p2278) :args ((not @t683))) % 0.58/1.02 (step @p2280 :rule symm :premises (@p2279)) % 0.58/1.02 (step @p2281 :rule eq_resolve :premises (@p2741 @p2280)) % 0.58/1.02 (step @p2282 :rule arith_trichotomy :premises (@p2281 @p2742)) % 0.58/1.02 (step @p2283 :rule int_tight_lb :premises (@p2282)) % 0.58/1.02 (step @p2284 false :rule contra :premises (@p2283 @p2276)) % 0.58/1.02 (step-pop @p2745 :rule scope :premises (@p2284)) % 0.58/1.02 (step-pop @p2746 :rule scope :premises (@p2745)) % 0.58/1.02 (step-pop @p2747 :rule scope :premises (@p2746)) % 0.58/1.02 (step-pop @p2748 :rule scope :premises (@p2747)) % 0.58/1.02 (step @p2285 :rule process_scope :premises (@p2748) :args (false)) % 0.58/1.02 (assume-push @p2749 @t201) % 0.58/1.02 (assume-push @p2750 @t571) % 0.58/1.02 (assume-push @p2751 @t264) % 0.58/1.02 (assume-push @p2752 @t293) % 0.58/1.02 (assume-push @p2753 @t291) % 0.58/1.02 (assume-push @p2754 @t293) % 0.58/1.02 (assume-push @p2755 @t201) % 0.58/1.02 (assume-push @p2756 @t571) % 0.58/1.02 (step @p2298 :rule bool-eq-false :args (@t679)) % 0.58/1.02 (step @p2299 :rule symm :premises (@p2298)) % 0.58/1.02 (step @p2300 :rule arith_poly_norm :args ((= (* 1 (- @t180 @t171)) (* -1 @t423)))) % 0.58/1.02 (step @p2301 :rule arith_poly_norm_rel :premises (@p2300) :args ((= @t684 @t679))) % 0.58/1.02 (step @p2302 :rule cong :premises (@p2301) :args ((not @t684))) % 0.58/1.02 (step @p2303 :rule bool-eq-false :args (@t684)) % 0.58/1.02 (step @p2304 :rule trans :premises (@p2303 @p2302)) % 0.58/1.02 (step @p2305 :rule trans :premises (@p2304 @p2299)) % 0.58/1.02 (assume-push @p2757 @t582) % 0.58/1.02 (step @p2307 :rule evaluate :args ((>= -1 0))) % 0.58/1.02 (step @p2308 :rule refl :args (0)) % 0.58/1.02 (step @p2309 :rule arith_poly_norm :args ((= @t686 -1))) % 0.58/1.02 (step @p2310 :rule cong :premises (@p2309 @p2308) :args ((>= @t686 0))) % 0.58/1.02 (step @p2311 :rule trans :premises (@p2310 @p2307)) % 0.58/1.02 (step @p2312 :rule arith-geq-norm1-int :args (@t685 @t182)) % 0.58/1.02 (step @p2313 :rule trans :premises (@p2312 @p2311)) % 0.58/1.02 (step @p2314 :rule arith-elim-leq :args (@t182 @t685)) % 0.58/1.02 (step @p2315 :rule trans :premises (@p2314 @p2313)) % 0.58/1.02 (step @p2316 :rule arith_poly_norm :args ((= (+ @t182 -1) @t685))) % 0.58/1.02 (step @p305 :rule evaluate :args (@t236)) % 0.58/1.02 (step @p2317 :rule nary_cong :premises (@p2091 @p305) :args (@t687)) % 0.58/1.02 (step @p2318 :rule trans :premises (@p2317 @p2316)) % 0.58/1.02 (step @p2319 :rule arith_poly_norm :args ((= (+ @t180 @t688) @t182))) % 0.58/1.02 (step @p2320 :rule arith_poly_norm :args ((= @t302 @t688))) % 0.58/1.02 (step @p2321 :rule nary_cong :premises (@p487 @p2320) :args (@t689)) % 0.58/1.02 (step @p2322 :rule trans :premises (@p2321 @p2319)) % 0.58/1.02 (step @p2323 :rule cong :premises (@p2322 @p2318) :args ((<= @t689 @t687))) % 0.58/1.02 (step @p2324 :rule trans :premises (@p2323 @p2315)) % 0.58/1.02 (step @p2325 :rule arith_mult_neg :args (-1 @t571)) % 0.58/1.02 (step @p323 :rule evaluate :args (@t246)) % 0.58/1.02 (step @p324 :rule true_elim :premises (@p323)) % 0.58/1.02 (step @p2326 :rule and_intro :premises (@p324 @p2750)) % 0.58/1.02 (step @p2327 :rule modus_ponens :premises (@p2326 @p2325)) % 0.58/1.02 (step @p2328 :rule arith_sum_ub :premises (@p2757 @p2327)) % 0.58/1.02 (step @p2329 false :rule eq_resolve :premises (@p2328 @p2324)) % 0.58/1.02 (step-pop @p2758 :rule scope :premises (@p2329)) % 0.58/1.02 (step @p2330 :rule process_scope :premises (@p2758) :args (false)) % 0.58/1.02 (step @p2332 :rule false_intro :premises (@p2330)) % 0.58/1.02 (step @p1466 :rule arith_poly_norm :args (@t547)) % 0.58/1.02 (step @p1467 :rule arith_poly_norm_rel :premises (@p1466) :args (@t549)) % 0.58/1.02 (step @p427 :rule arith-elim-lt :args (@t184 1)) % 0.58/1.02 (step @p428 :rule symm :premises (@p427)) % 0.58/1.02 (step @p429 :rule eq_resolve :premises (@p209 @p428)) % 0.58/1.02 (step @p814 :rule int_tight_ub :premises (@p429)) % 0.58/1.02 (step @p2333 :rule arith_trichotomy :premises (@p2752 @p814)) % 0.58/1.02 (step @p2334 :rule eq_resolve :premises (@p2333 @p1467)) % 0.58/1.02 (step @p2335 :rule cong :premises (@p487 @p2334) :args (@t684)) % 0.58/1.02 (step @p2336 :rule trans :premises (@p2335 @p2332)) % 0.58/1.02 (step @p2337 :rule eq_resolve :premises (@p2336 @p2305)) % 0.58/1.02 (step @p2338 :rule false_elim :premises (@p2337)) % 0.58/1.02 (step-pop @p2759 :rule scope :premises (@p2338)) % 0.58/1.02 (step-pop @p2760 :rule scope :premises (@p2759)) % 0.58/1.02 (step-pop @p2761 :rule scope :premises (@p2760)) % 0.58/1.02 (step @p2339 :rule process_scope :premises (@p2761) :args (@t680)) % 0.58/1.02 (step @p2343 :rule and_intro :premises (@p2752 @p209 @p2750)) % 0.58/1.02 (step @p2344 :rule modus_ponens :premises (@p2343 @p2339)) % 0.58/1.02 (step @p2345 :rule and_intro :premises (@p2751 @p209 @p2344 @p2753)) % 0.58/1.02 (step-pop @p2762 :rule scope :premises (@p2345)) % 0.58/1.02 (step-pop @p2763 :rule scope :premises (@p2762)) % 0.58/1.02 (step-pop @p2764 :rule scope :premises (@p2763)) % 0.58/1.02 (step-pop @p2765 :rule scope :premises (@p2764)) % 0.58/1.02 (step-pop @p2766 :rule scope :premises (@p2765)) % 0.58/1.02 (step @p2346 :rule process_scope :premises (@p2766) :args (@t690)) % 0.58/1.02 (step @p2352 :rule implies_elim :premises (@p2346)) % 0.58/1.02 (step @p2353 :rule resolution :premises (@p2352 @p2285) :args (true @t690)) % 0.58/1.02 (step @p2354 :rule not_and :premises (@p2353)) % 0.58/1.02 (step @p2355 :rule eq_resolve :premises (@p2354 @p2249)) % 0.58/1.02 (step @p2356 false :rule chain_m_resolution :premises (@p2355 @p2248 @p2174 @p1458 @p470 @p209) :args (false (@list false false false false true) (@list @t291 @t571 @t293 @t264 @t185))) % 0.58/1.02 ) % 0.58/1.02 % SZS output end Proof % 0.58/1.02 % cvc5 exiting %------------------------------------------------------------------------------