%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC484_1 : TPTP v9.2.1. Released v9.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:20 AM UTC 2026 % Result : Theorem 60.29s 60.60s % Output : Proof 60.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWC484_1 : TPTP v9.2.1. Released v9.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Tue Jun 2 14:51:00 EDT 2026 % 0.08/0.25 % CPUTime : % 0.16/0.33 %----Proving TF0_ARI % 60.29/60.60 --- Run --finite-model-find --decision=internal at 45... % 60.29/60.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 60.29/60.60 --- Run --no-e-matching --full-saturate-quant at 45... % 60.29/60.60 % SZS status Theorem % 60.29/60.60 % SZS output start Proof % 60.29/60.60 ( % 60.29/60.60 (declare-const tptp.fast (-> Int Int)) % 60.29/60.60 (declare-const tptp.small (-> Int Int)) % 60.29/60.60 (declare-const |tptp.'mod:(Int*Int)>Int'| (-> Int Int Int)) % 60.29/60.60 (declare-const tptp.v0 Int) % 60.29/60.60 (declare-const tptp.u0 (-> Int Int Int)) % 60.29/60.60 (declare-const tptp.h0 Int) % 60.29/60.60 (declare-const tptp.g0 Int) % 60.29/60.60 (declare-const tptp.f0 (-> Int Int)) % 60.29/60.60 (define @t1 () (@var "X" Int)) % 60.29/60.60 (define @t2 () (* @t1 @t1)) % 60.29/60.60 (define @t3 () (tptp.f0 @t1)) % 60.29/60.60 (define @t4 () (= @t3 @t2)) % 60.29/60.60 (define @t5 () (@list @t1)) % 60.29/60.60 (define @t6 () (forall @t5 @t4)) % 60.29/60.60 (define @t7 () (@var "Y" Int)) % 60.29/60.60 (define @t8 () (- @t1 1)) % 60.29/60.60 (define @t9 () (tptp.u0 @t8 @t7)) % 60.29/60.60 (define @t10 () (tptp.f0 @t9)) % 60.29/60.60 (define @t11 () (tptp.u0 @t1 @t7)) % 60.29/60.60 (define @t12 () (= @t11 @t10)) % 60.29/60.60 (define @t13 () (<= @t1 0)) % 60.29/60.60 (define @t14 () (not @t13)) % 60.29/60.60 (define @t15 () (=> @t14 @t12)) % 60.29/60.60 (define @t16 () (= @t11 @t7)) % 60.29/60.60 (define @t17 () (=> @t13 @t16)) % 60.29/60.60 (define @t18 () (and @t17 @t15)) % 60.29/60.60 (define @t19 () (@list @t1 @t7)) % 60.29/60.60 (define @t20 () (forall @t19 @t18)) % 60.29/60.60 (define @t21 () (tptp.u0 tptp.g0 tptp.h0)) % 60.29/60.60 (define @t22 () (= tptp.v0 @t21)) % 60.29/60.60 (define @t23 () (+ 1 @t1)) % 60.29/60.60 (define @t24 () (|tptp.'mod:(Int*Int)>Int'| @t23 tptp.v0)) % 60.29/60.60 (define @t25 () (- @t1 @t24)) % 60.29/60.60 (define @t26 () (+ 2 (+ @t25 @t1))) % 60.29/60.60 (define @t27 () (tptp.small @t1)) % 60.29/60.60 (define @t28 () (= @t27 @t26)) % 60.29/60.60 (define @t29 () (forall @t5 @t28)) % 60.29/60.60 (define @t30 () (+ 2 2)) % 60.29/60.60 (define @t31 () (* 2 @t30)) % 60.29/60.60 (define @t32 () (* 2 @t31)) % 60.29/60.60 (define @t33 () (|tptp.'mod:(Int*Int)>Int'| @t23 @t32)) % 60.29/60.60 (define @t34 () (- @t1 @t33)) % 60.29/60.60 (define @t35 () (+ 2 (+ @t34 @t1))) % 60.29/60.60 (define @t36 () (tptp.fast @t1)) % 60.29/60.60 (define @t37 () (= @t36 @t35)) % 60.29/60.60 (define @t38 () (forall @t5 @t37)) % 60.29/60.60 (define @t39 () (@var "C" Int)) % 60.29/60.60 (define @t40 () (= (tptp.small @t39) (tptp.fast @t39))) % 60.29/60.60 (define @t41 () (not @t40)) % 60.29/60.60 (define @t42 () (>= @t39 0)) % 60.29/60.60 (define @t43 () (and @t42 @t41)) % 60.29/60.60 (define @t44 () (@list @t39)) % 60.29/60.60 (define @t45 () (exists @t44 @t43)) % 60.29/60.60 (define @t46 () (not @t42)) % 60.29/60.60 (define @t47 () (forall @t44 (not @t43))) % 60.29/60.60 (define @t48 () (not @t47)) % 60.29/60.60 (define @t49 () (@quantifiers_skolemize (forall @t44 (or @t46 @t40)) 0)) % 60.29/60.60 (define @t50 () (tptp.fast @t49)) % 60.29/60.60 (define @t51 () (tptp.small @t49)) % 60.29/60.60 (define @t52 () (= @t51 @t50)) % 60.29/60.60 (define @t53 () (or (not (>= @t49 0)) @t52)) % 60.29/60.60 (define @t54 () (not @t52)) % 60.29/60.60 (define @t55 () (* -1 @t24)) % 60.29/60.60 (define @t56 () (* 2 @t1)) % 60.29/60.60 (define @t57 () (+ 2 @t56 @t55)) % 60.29/60.60 (define @t58 () (= @t27 @t57)) % 60.29/60.60 (define @t59 () (+ @t1 @t55)) % 60.29/60.60 (define @t60 () (+ @t25 @t1 2)) % 60.29/60.60 (define @t61 () (@list @t49)) % 60.29/60.60 (define @t62 () (* -1 (|tptp.'mod:(Int*Int)>Int'| @t23 16))) % 60.29/60.60 (define @t63 () (* -1 @t33)) % 60.29/60.60 (define @t64 () (+ @t1 @t63)) % 60.29/60.60 (define @t65 () (+ @t34 @t1 2)) % 60.29/60.60 (define @t66 () (+ -1 @t1)) % 60.29/60.60 (define @t67 () (= @t11 (tptp.f0 (tptp.u0 @t66 @t7)))) % 60.29/60.60 (define @t68 () (>= @t1 1)) % 60.29/60.60 (define @t69 () (not @t68)) % 60.29/60.60 (define @t70 () (or @t69 @t67)) % 60.29/60.60 (define @t71 () (forall @t19 @t70)) % 60.29/60.60 (define @t72 () (@list @t1 @t7)) % 60.29/60.60 (define @t73 () (@var "BOUND_VARIABLE_7505" Int)) % 60.29/60.60 (define @t74 () (@var "BOUND_VARIABLE_7503" Int)) % 60.29/60.60 (define @t75 () (= @t7 @t11)) % 60.29/60.60 (define @t76 () (or @t68 @t75)) % 60.29/60.60 (define @t77 () (forall @t19 @t76)) % 60.29/60.60 (define @t78 () (@var "BOUND_VARIABLE_7495" Int)) % 60.29/60.60 (define @t79 () (@var "BOUND_VARIABLE_7493" Int)) % 60.29/60.60 (define @t80 () (and @t77 @t71)) % 60.29/60.60 (define @t81 () (and (=> @t69 @t75) (=> @t68 @t67))) % 60.29/60.60 (define @t82 () (* -1 1)) % 60.29/60.60 (define @t83 () (+ @t1 @t82)) % 60.29/60.60 (define @t84 () (+ 0 1)) % 60.29/60.60 (define @t85 () (>= @t1 @t84)) % 60.29/60.60 (define @t86 () (tptp.u0 0 2)) % 60.29/60.60 (define @t87 () (= @t86 2)) % 60.29/60.60 (define @t88 () (= 2 @t86)) % 60.29/60.60 (define @t89 () (>= 0 1)) % 60.29/60.60 (define @t90 () (or @t89 @t88)) % 60.29/60.60 (define @t91 () (forall (@list @t79 @t78) (or (>= @t79 1) (= @t78 (tptp.u0 @t79 @t78))))) % 60.29/60.60 (define @t92 () (@list false)) % 60.29/60.60 (define @t93 () (>= @t86 1)) % 60.29/60.60 (define @t94 () (not @t87)) % 60.29/60.60 (define @t95 () (not @t93)) % 60.29/60.60 (define @t96 () (>= @t86 @t84)) % 60.29/60.60 (define @t97 () (not @t96)) % 60.29/60.60 (define @t98 () (<= @t86 0)) % 60.29/60.60 (define @t99 () (not @t98)) % 60.29/60.60 (define @t100 () (not (>= 0 @t86))) % 60.29/60.60 (define @t101 () (> @t86 0)) % 60.29/60.60 (define @t102 () (* -1 2)) % 60.29/60.60 (define @t103 () (+ 0 @t102)) % 60.29/60.60 (define @t104 () (+ @t86 (* -1 @t86))) % 60.29/60.60 (define @t105 () (< -1 0)) % 60.29/60.60 (define @t106 () (and @t95 @t87)) % 60.29/60.60 (define @t107 () (and @t93 @t87)) % 60.29/60.60 (define @t108 () (* 2 @t86)) % 60.29/60.60 (define @t109 () (* @t86 2)) % 60.29/60.60 (define @t110 () (* @t86 @t86)) % 60.29/60.60 (define @t111 () (* @t86 @t86)) % 60.29/60.60 (define @t112 () (= @t111 @t109)) % 60.29/60.60 (define @t113 () (and @t101 @t88)) % 60.29/60.60 (define @t114 () (and @t101 @t87)) % 60.29/60.60 (define @t115 () (= @t110 @t108)) % 60.29/60.60 (define @t116 () (tptp.f0 @t86)) % 60.29/60.60 (define @t117 () (tptp.u0 1 2)) % 60.29/60.60 (define @t118 () (= @t117 @t116)) % 60.29/60.60 (define @t119 () (+ -1 1)) % 60.29/60.60 (define @t120 () (tptp.u0 @t119 2)) % 60.29/60.60 (define @t121 () (tptp.f0 @t120)) % 60.29/60.60 (define @t122 () (= @t117 @t121)) % 60.29/60.60 (define @t123 () (>= 1 1)) % 60.29/60.60 (define @t124 () (not @t123)) % 60.29/60.60 (define @t125 () (or @t124 @t122)) % 60.29/60.60 (define @t126 () (forall (@list @t74 @t73) (or (not (>= @t74 1)) (= (tptp.u0 @t74 @t73) (tptp.f0 (tptp.u0 (+ -1 @t74) @t73)))))) % 60.29/60.60 (define @t127 () (@list @t126)) % 60.29/60.60 (define @t128 () (>= @t117 4)) % 60.29/60.60 (define @t129 () (not @t118)) % 60.29/60.60 (define @t130 () (= @t116 @t110)) % 60.29/60.60 (define @t131 () (not @t130)) % 60.29/60.60 (define @t132 () (not @t115)) % 60.29/60.60 (define @t133 () (not @t128)) % 60.29/60.60 (define @t134 () (>= 0 0)) % 60.29/60.60 (define @t135 () (* -1 0)) % 60.29/60.60 (define @t136 () (* -2 2)) % 60.29/60.60 (define @t137 () (+ 4 0 @t136 @t135 @t135)) % 60.29/60.60 (define @t138 () (* -1 @t116)) % 60.29/60.60 (define @t139 () (* -2 @t86)) % 60.29/60.60 (define @t140 () (* 0 @t117)) % 60.29/60.60 (define @t141 () (* 0 @t110)) % 60.29/60.60 (define @t142 () (= @t141 0)) % 60.29/60.60 (define @t143 () (+ @t108 @t139 @t141 @t116 @t138 @t140)) % 60.29/60.60 (define @t144 () (+ @t117 @t138)) % 60.29/60.60 (define @t145 () (* -1 @t110)) % 60.29/60.60 (define @t146 () (+ @t116 @t145)) % 60.29/60.60 (define @t147 () (+ @t108 @t145)) % 60.29/60.60 (define @t148 () (+ @t117 @t147 @t139 (* -1 @t146) (* -1 @t144))) % 60.29/60.60 (define @t149 () (>= @t148 @t137)) % 60.29/60.60 (define @t150 () (= @t144 0)) % 60.29/60.60 (define @t151 () (= (* 1 (- @t144 0)) (* 1 (- @t117 @t116)))) % 60.29/60.60 (define @t152 () (= @t150 @t118)) % 60.29/60.60 (define @t153 () (= @t146 0)) % 60.29/60.60 (define @t154 () (= (* 1 (- @t146 0)) (* 1 (- @t116 @t110)))) % 60.29/60.60 (define @t155 () (= @t153 @t130)) % 60.29/60.60 (define @t156 () (= (* -2 (- @t147 0)) (* 2 (- @t110 @t108)))) % 60.29/60.60 (define @t157 () (= @t147 0)) % 60.29/60.60 (define @t158 () (= @t157 @t115)) % 60.29/60.60 (define @t159 () (@list false false false false)) % 60.29/60.60 (define @t160 () (@list @t118 @t130 @t87 @t115)) % 60.29/60.60 (define @t161 () (>= @t117 5)) % 60.29/60.60 (define @t162 () (not @t161)) % 60.29/60.60 (define @t163 () (or @t162 @t128)) % 60.29/60.60 (define @t164 () (and @t128 @t128)) % 60.29/60.60 (define @t165 () (+ 4 1)) % 60.29/60.60 (define @t166 () (>= @t117 @t165)) % 60.29/60.60 (define @t167 () (<= @t117 4)) % 60.29/60.60 (define @t168 () (and @t167 @t167)) % 60.29/60.60 (define @t169 () (or @t168 @t164)) % 60.29/60.60 (define @t170 () (* 8 @t117)) % 60.29/60.60 (define @t171 () (+ -16 @t170)) % 60.29/60.60 (define @t172 () (* @t117 @t117)) % 60.29/60.60 (define @t173 () (* -1 @t172)) % 60.29/60.60 (define @t174 () (+ @t170 @t173)) % 60.29/60.60 (define @t175 () (+ @t174 1)) % 60.29/60.60 (define @t176 () (* 4 4)) % 60.29/60.60 (define @t177 () (* -1 @t176)) % 60.29/60.60 (define @t178 () (* 4 @t117)) % 60.29/60.60 (define @t179 () (+ @t178 @t178)) % 60.29/60.60 (define @t180 () (+ @t179 @t177)) % 60.29/60.60 (define @t181 () (- @t179 @t176)) % 60.29/60.60 (define @t182 () (>= @t172 @t181)) % 60.29/60.60 (define @t183 () (>= @t174 17)) % 60.29/60.60 (define @t184 () (not @t183)) % 60.29/60.60 (define @t185 () (tptp.f0 @t117)) % 60.29/60.60 (define @t186 () (tptp.u0 2 2)) % 60.29/60.60 (define @t187 () (= @t186 @t185)) % 60.29/60.60 (define @t188 () (+ -1 2)) % 60.29/60.60 (define @t189 () (tptp.u0 @t188 2)) % 60.29/60.60 (define @t190 () (tptp.f0 @t189)) % 60.29/60.60 (define @t191 () (= @t186 @t190)) % 60.29/60.60 (define @t192 () (>= 2 1)) % 60.29/60.60 (define @t193 () (not @t192)) % 60.29/60.60 (define @t194 () (or @t193 @t191)) % 60.29/60.60 (define @t195 () (>= @t186 16)) % 60.29/60.60 (define @t196 () (not @t187)) % 60.29/60.60 (define @t197 () (= @t185 @t172)) % 60.29/60.60 (define @t198 () (not @t197)) % 60.29/60.60 (define @t199 () (not @t195)) % 60.29/60.60 (define @t200 () (* -8 0)) % 60.29/60.60 (define @t201 () (* -16 2)) % 60.29/60.60 (define @t202 () (* 8 0)) % 60.29/60.60 (define @t203 () (+ 16 16 @t202 @t201 @t200 @t200 @t135 @t135)) % 60.29/60.60 (define @t204 () (* -8 @t117)) % 60.29/60.60 (define @t205 () (* -8 @t116)) % 60.29/60.60 (define @t206 () (* 8 @t116)) % 60.29/60.60 (define @t207 () (* 16 @t86)) % 60.29/60.60 (define @t208 () (* -1 @t185)) % 60.29/60.60 (define @t209 () (* -16 @t86)) % 60.29/60.60 (define @t210 () (* 0 @t186)) % 60.29/60.60 (define @t211 () (* 0 @t172)) % 60.29/60.60 (define @t212 () (= @t211 0)) % 60.29/60.60 (define @t213 () (+ @t209 @t170 @t211 @t185 @t208 @t207 @t141 @t206 @t205 @t204 @t210)) % 60.29/60.60 (define @t214 () (+ @t186 @t208)) % 60.29/60.60 (define @t215 () (+ @t185 @t173)) % 60.29/60.60 (define @t216 () (+ @t186 @t174 (* 8 @t147) @t209 (* -8 @t146) (* -8 @t144) (* -1 @t215) (* -1 @t214))) % 60.29/60.60 (define @t217 () (>= @t216 @t203)) % 60.29/60.60 (define @t218 () (= @t214 0)) % 60.29/60.60 (define @t219 () (= (* 1 (- @t214 0)) (* 1 (- @t186 @t185)))) % 60.29/60.60 (define @t220 () (= @t218 @t187)) % 60.29/60.60 (define @t221 () (= @t215 0)) % 60.29/60.60 (define @t222 () (= (* 1 (- @t215 0)) (* 1 (- @t185 @t172)))) % 60.29/60.60 (define @t223 () (= @t221 @t197)) % 60.29/60.60 (define @t224 () (< -8 0)) % 60.29/60.60 (define @t225 () (> 8 0)) % 60.29/60.60 (define @t226 () (<= 0 -1)) % 60.29/60.60 (define @t227 () (* 2 2)) % 60.29/60.60 (define @t228 () (* -1 5)) % 60.29/60.60 (define @t229 () (+ @t228 @t227 0 0 @t135)) % 60.29/60.60 (define @t230 () (* -1 @t117)) % 60.29/60.60 (define @t231 () (* 0 @t86)) % 60.29/60.60 (define @t232 () (+ @t230 @t231 @t141 @t138 @t116 @t117)) % 60.29/60.60 (define @t233 () (+ @t230 @t108 @t146 @t144 (* -1 @t147))) % 60.29/60.60 (define @t234 () (and @t115 @t118 @t130 @t87 @t161)) % 60.29/60.60 (define @t235 () (and @t162 @t128)) % 60.29/60.60 (define @t236 () (or @t235 (and @t128 @t162))) % 60.29/60.60 (define @t237 () (and @t128 @t167)) % 60.29/60.60 (define @t238 () (and @t167 @t128)) % 60.29/60.60 (define @t239 () (or @t238 @t237)) % 60.29/60.60 (define @t240 () (>= @t174 16)) % 60.29/60.60 (define @t241 () (<= @t172 @t181)) % 60.29/60.60 (define @t242 () (not @t240)) % 60.29/60.60 (define @t243 () (= @t186 16)) % 60.29/60.60 (define @t244 () (not @t243)) % 60.29/60.60 (define @t245 () (* -1 17)) % 60.29/60.60 (define @t246 () (* 16 2)) % 60.29/60.60 (define @t247 () (* -1 16)) % 60.29/60.60 (define @t248 () (+ @t247 @t200 @t246 @t202 @t202 0 0 @t245)) % 60.29/60.60 (define @t249 () (* -1 @t186)) % 60.29/60.60 (define @t250 () (+ @t207 @t204 @t211 @t249 @t208 @t185 @t209 @t141 @t205 @t206 @t170 @t186)) % 60.29/60.60 (define @t251 () (+ (* -1 @t174) (* -8 @t147) @t207 (* 8 @t146) (* 8 @t144) @t215 @t214 @t249)) % 60.29/60.60 (define @t252 () (+ 1 @t49)) % 60.29/60.60 (define @t253 () (|tptp.'mod:(Int*Int)>Int'| @t252 16)) % 60.29/60.60 (define @t254 () (* -1 @t253)) % 60.29/60.60 (define @t255 () (* 2 @t49)) % 60.29/60.60 (define @t256 () (+ 2 @t255 @t254)) % 60.29/60.60 (define @t257 () (= @t50 @t256)) % 60.29/60.60 (define @t258 () (not @t257)) % 60.29/60.60 (define @t259 () (|tptp.'mod:(Int*Int)>Int'| @t252 @t186)) % 60.29/60.60 (define @t260 () (* -1 @t259)) % 60.29/60.60 (define @t261 () (+ 2 @t255 @t260)) % 60.29/60.60 (define @t262 () (= @t51 @t261)) % 60.29/60.60 (define @t263 () (not @t262)) % 60.29/60.60 (define @t264 () (* -1 @t50)) % 60.29/60.60 (define @t265 () (+ @t51 @t264)) % 60.29/60.60 (define @t266 () (>= @t265 0)) % 60.29/60.60 (define @t267 () (not @t266)) % 60.29/60.60 (define @t268 () (= @t259 @t253)) % 60.29/60.60 (define @t269 () (+ @t259 @t254)) % 60.29/60.60 (define @t270 () (= @t269 0)) % 60.29/60.60 (define @t271 () (* -1 -2)) % 60.29/60.60 (define @t272 () (+ 0 -2 0 @t271)) % 60.29/60.60 (define @t273 () (* -1 @t51)) % 60.29/60.60 (define @t274 () (* 0 @t50)) % 60.29/60.60 (define @t275 () (= @t274 0)) % 60.29/60.60 (define @t276 () (* 0 @t49)) % 60.29/60.60 (define @t277 () (= @t276 0)) % 60.29/60.60 (define @t278 () (* 0 @t253)) % 60.29/60.60 (define @t279 () (= @t278 0)) % 60.29/60.60 (define @t280 () (+ @t278 @t260 @t259 @t276 @t273 @t274 @t51)) % 60.29/60.60 (define @t281 () (+ @t255 @t264 @t254)) % 60.29/60.60 (define @t282 () (+ @t255 @t273 @t260)) % 60.29/60.60 (define @t283 () (+ @t269 @t282 @t265 (* -1 @t281))) % 60.29/60.60 (define @t284 () (>= @t283 @t272)) % 60.29/60.60 (define @t285 () (= @t281 -2)) % 60.29/60.60 (define @t286 () (= (* -2 (- @t281 -2)) (* 2 (- @t50 @t256)))) % 60.29/60.60 (define @t287 () (= @t285 @t257)) % 60.29/60.60 (define @t288 () (= (* -2 (- @t282 -2)) (* 2 (- @t51 @t261)))) % 60.29/60.60 (define @t289 () (= @t282 -2)) % 60.29/60.60 (define @t290 () (= @t289 @t262)) % 60.29/60.60 (define @t291 () (= (* 1 (- @t269 0)) (* 1 (- @t259 @t253)))) % 60.29/60.60 (define @t292 () (= @t270 @t268)) % 60.29/60.60 (define @t293 () (= 16 @t186)) % 60.29/60.60 (define @t294 () (and @t257 @t267 @t262 @t268)) % 60.29/60.60 (define @t295 () (+ @t135 @t271 @t82 -2)) % 60.29/60.60 (define @t296 () (+ @t278 @t259 @t260 @t276 @t51 @t274 @t273)) % 60.29/60.60 (define @t297 () (+ (* -1 @t269) (* -1 @t282) (* -1 @t265) @t281)) % 60.29/60.60 (define @t298 () (= @t265 0)) % 60.29/60.60 (define @t299 () (and @t257 @t54 @t266 @t262 @t268)) % 60.29/60.60 (assume @p1 @t6) % 60.29/60.60 (assume @p2 (= tptp.g0 2)) % 60.29/60.60 (assume @p3 (= tptp.h0 2)) % 60.29/60.60 (assume @p4 @t20) % 60.29/60.60 (assume @p5 @t22) % 60.29/60.60 (assume @p6 @t29) % 60.29/60.60 (assume @p7 @t38) % 60.29/60.60 (assume @p8 (not (not @t45))) % 60.29/60.60 (assume @p9 true) % 60.29/60.60 (step @p10 :rule bool-double-not-elim :args (@t40)) % 60.29/60.60 (step @p11 :rule refl :args (@t46)) % 60.29/60.60 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t46 (not @t41)))) % 60.29/60.60 (step @p13 :rule bool-and-de-morgan :args (@t42 @t41 true)) % 60.29/60.60 (step @p14 :rule trans :premises (@p13 @p12)) % 60.29/60.60 (step @p15 :rule cong :premises (@p14) :args (@t47)) % 60.29/60.60 (step @p16 :rule cong :premises (@p15) :args (@t48)) % 60.29/60.60 (step @p17 :rule exists-elim :args ((= @t45 @t48))) % 60.29/60.60 (step @p18 :rule trans :premises (@p17 @p16)) % 60.29/60.60 (step @p19 :rule bool-double-not-elim :args (@t45)) % 60.29/60.60 (step @p20 :rule trans :premises (@p19 @p18)) % 60.29/60.60 (step @p21 :rule eq_resolve :premises (@p8 @p20)) % 60.29/60.60 (step @p22 :rule skolemize :premises (@p21)) % 60.29/60.60 (step @p23 :rule cnf_or_neg :args (@t53 1)) % 60.29/60.60 (step @p24 :rule chain_m_resolution :premises (@p23 @p22) :args (@t54 (@list true) (@list @t53))) % 60.29/60.60 (step @p25 :rule cong :premises (@p2 @p3) :args (@t21)) % 60.29/60.60 (step @p26 :rule refl :args (tptp.v0)) % 60.29/60.60 (step @p27 :rule cong :premises (@p26 @p25) :args (@t22)) % 60.29/60.60 (step @p28 :rule eq_resolve :premises (@p5 @p27)) % 60.29/60.60 (step @p29 :rule refl :args (@t23)) % 60.29/60.60 (step @p30 :rule cong :premises (@p29 @p28) :args (@t24)) % 60.29/60.60 (step @p31 :rule refl :args (-1)) % 60.29/60.60 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t55)) % 60.29/60.60 (step @p33 :rule refl :args (@t56)) % 60.29/60.60 (step @p34 :rule refl :args (2)) % 60.29/60.60 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args (@t57)) % 60.29/60.60 (step @p36 :rule refl :args (@t27)) % 60.29/60.60 (step @p37 :rule cong :premises (@p36 @p35) :args (@t58)) % 60.29/60.60 (step @p38 :rule cong :premises (@p37) :args ((forall @t5 @t58))) % 60.29/60.60 (step @p39 :rule arith_poly_norm :args ((= (+ @t59 @t1 2) @t57))) % 60.29/60.60 (step @p40 :rule refl :args (@t1)) % 60.29/60.60 (step @p41 :rule arith_poly_norm :args ((= @t25 @t59))) % 60.29/60.60 (step @p42 :rule nary_cong :premises (@p41 @p40 @p34) :args (@t60)) % 60.29/60.60 (step @p43 :rule trans :premises (@p42 @p39)) % 60.29/60.60 (step @p44 :rule arith_poly_norm :args ((= @t26 @t60))) % 60.29/60.60 (step @p45 :rule trans :premises (@p44 @p43)) % 60.29/60.60 (step @p46 :rule cong :premises (@p36 @p45) :args (@t28)) % 60.29/60.60 (step @p47 :rule cong :premises (@p46) :args (@t29)) % 60.29/60.60 (step @p48 :rule trans :premises (@p47 @p38)) % 60.29/60.60 (step @p49 :rule eq_resolve :premises (@p6 @p48)) % 60.29/60.60 (step @p50 :rule instantiate :premises (@p49) :args (@t61)) % 60.29/60.60 (step @p51 :rule arith_poly_norm :args ((= (+ (+ @t1 @t62) @t1 2) (+ 2 @t56 @t62)))) % 60.29/60.60 (step @p52 :rule evaluate :args ((* 2 8))) % 60.29/60.60 (step @p53 :rule evaluate :args ((* 2 4))) % 60.29/60.60 (step @p54 :rule evaluate :args (@t30)) % 60.29/60.60 (step @p55 :rule nary_cong :premises (@p34 @p54) :args (@t31)) % 60.29/60.60 (step @p56 :rule trans :premises (@p55 @p53)) % 60.29/60.60 (step @p57 :rule nary_cong :premises (@p34 @p56) :args (@t32)) % 60.29/60.60 (step @p58 :rule trans :premises (@p57 @p52)) % 60.29/60.60 (step @p59 :rule cong :premises (@p29 @p58) :args (@t33)) % 60.29/60.60 (step @p60 :rule nary_cong :premises (@p31 @p59) :args (@t63)) % 60.29/60.60 (step @p61 :rule nary_cong :premises (@p40 @p60) :args (@t64)) % 60.29/60.60 (step @p62 :rule arith_poly_norm :args ((= @t34 @t64))) % 60.29/60.60 (step @p63 :rule trans :premises (@p62 @p61)) % 60.29/60.60 (step @p64 :rule nary_cong :premises (@p63 @p40 @p34) :args (@t65)) % 60.29/60.60 (step @p65 :rule trans :premises (@p64 @p51)) % 60.29/60.60 (step @p66 :rule arith_poly_norm :args ((= @t35 @t65))) % 60.29/60.60 (step @p67 :rule trans :premises (@p66 @p65)) % 60.29/60.60 (step @p68 :rule refl :args (@t36)) % 60.29/60.60 (step @p69 :rule cong :premises (@p68 @p67) :args (@t37)) % 60.29/60.60 (step @p70 :rule cong :premises (@p69) :args (@t38)) % 60.29/60.60 (step @p71 :rule eq_resolve :premises (@p7 @p70)) % 60.29/60.60 (step @p72 :rule instantiate :premises (@p71) :args (@t61)) % 60.29/60.60 (step @p73 :rule alpha_equiv :args (@t71 @t72 (@list @t74 @t73))) % 60.29/60.60 (step @p74 :rule alpha_equiv :args (@t77 @t72 (@list @t79 @t78))) % 60.29/60.60 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t80)) % 60.29/60.60 (step @p76 :rule quant-miniscope-and :args ((= (forall @t19 (and @t76 @t70)) @t80))) % 60.29/60.60 (step @p77 :rule trans :premises (@p76 @p75)) % 60.29/60.60 (step @p78 :rule bool-impl-elim :args (@t68 @t67)) % 60.29/60.60 (step @p79 :rule refl :args (@t75)) % 60.29/60.60 (step @p80 :rule bool-double-not-elim :args (@t68)) % 60.29/60.60 (step @p81 :rule nary_cong :premises (@p80 @p79) :args ((or (not @t69) @t75))) % 60.29/60.60 (step @p82 :rule bool-impl-elim :args (@t69 @t75)) % 60.29/60.60 (step @p83 :rule trans :premises (@p82 @p81)) % 60.29/60.60 (step @p84 :rule nary_cong :premises (@p83 @p78) :args (@t81)) % 60.29/60.60 (step @p85 :rule cong :premises (@p84) :args ((forall @t19 @t81))) % 60.29/60.60 (step @p86 :rule trans :premises (@p85 @p77)) % 60.29/60.60 (step @p87 :rule refl :args (@t7)) % 60.29/60.60 (step @p88 :rule arith_poly_norm :args ((= (+ @t1 -1) @t66))) % 60.29/60.60 (step @p89 :rule evaluate :args (@t82)) % 60.29/60.60 (step @p90 :rule nary_cong :premises (@p40 @p89) :args (@t83)) % 60.29/60.60 (step @p91 :rule trans :premises (@p90 @p88)) % 60.29/60.60 (step @p92 :rule arith_poly_norm :args ((= @t8 @t83))) % 60.29/60.60 (step @p93 :rule trans :premises (@p92 @p91)) % 60.29/60.60 (step @p94 :rule cong :premises (@p93 @p87) :args (@t9)) % 60.29/60.60 (step @p95 :rule cong :premises (@p94) :args (@t10)) % 60.29/60.60 (step @p96 :rule refl :args (@t11)) % 60.29/60.60 (step @p97 :rule cong :premises (@p96 @p95) :args (@t12)) % 60.29/60.60 (step @p98 :rule evaluate :args (@t84)) % 60.29/60.60 (step @p99 :rule refl :args (@t1)) % 60.29/60.60 (step @p100 :rule cong :premises (@p99 @p98) :args (@t85)) % 60.29/60.60 (step @p101 :rule cong :premises (@p100) :args ((not @t85))) % 60.29/60.60 (step @p102 :rule arith-leq-norm :args (@t1 0)) % 60.29/60.60 (step @p103 :rule trans :premises (@p102 @p101)) % 60.29/60.60 (step @p104 :rule cong :premises (@p103) :args (@t14)) % 60.29/60.60 (step @p105 :rule trans :premises (@p104 @p80)) % 60.29/60.60 (step @p106 :rule cong :premises (@p105 @p97) :args (@t15)) % 60.29/60.60 (step @p107 :rule arith_poly_norm :args ((= (* 1 (- @t11 @t7)) (* -1 (- @t7 @t11))))) % 60.29/60.60 (step @p108 :rule arith_poly_norm_rel :premises (@p107) :args ((= @t16 @t75))) % 60.29/60.60 (step @p109 :rule cong :premises (@p103 @p108) :args (@t17)) % 60.29/60.60 (step @p110 :rule nary_cong :premises (@p109 @p106) :args (@t18)) % 60.29/60.60 (step @p111 :rule cong :premises (@p110) :args (@t20)) % 60.29/60.60 (step @p112 :rule trans :premises (@p111 @p86)) % 60.29/60.60 (step @p113 :rule eq_resolve :premises (@p4 @p112)) % 60.29/60.60 (step @p114 :rule and_elim :premises (@p113) :args (0)) % 60.29/60.60 (step @p115 :rule aci_norm :args ((= (or false @t87) @t87))) % 60.29/60.60 (step @p116 :rule arith_poly_norm :args ((= (* -2 (- 2 @t86)) (* 2 (- @t86 2))))) % 60.29/60.60 (step @p117 :rule arith_poly_norm_rel :premises (@p116) :args ((= @t88 @t87))) % 60.29/60.60 (step @p118 :rule evaluate :args (@t89)) % 60.29/60.60 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t90)) % 60.29/60.60 (step @p120 :rule trans :premises (@p119 @p115)) % 60.29/60.60 (step @p121 :rule refl :args (@t91)) % 60.29/60.60 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t91 @t90))) % 60.29/60.60 (assume-push @p775 @t91) % 60.29/60.60 (step @p124 :rule instantiate :premises (@p114) :args ((@list 0 2))) % 60.29/60.60 (step-pop @p776 :rule scope :premises (@p124)) % 60.29/60.60 (step @p125 :rule process_scope :premises (@p776) :args (@t90)) % 60.29/60.60 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 60.29/60.60 (step @p128 :rule implies_elim :premises (@p127)) % 60.29/60.60 (step @p129 :rule chain_m_resolution :premises (@p128 @p114) :args (@t87 @t92 (@list @t91))) % 60.29/60.60 (step @p130 :rule bool-double-not-elim :args (@t93)) % 60.29/60.60 (step @p131 :rule refl :args (@t94)) % 60.29/60.60 (step @p132 :rule nary_cong :premises (@p131 @p130) :args ((or @t94 (not @t95)))) % 60.29/60.60 (assume-push @p777 @t95) % 60.29/60.60 (assume-push @p778 @t87) % 60.29/60.60 (step @p135 :rule refl :args (@t86)) % 60.29/60.60 (step @p136 :rule cong :premises (@p135 @p98) :args (@t96)) % 60.29/60.60 (step @p137 :rule cong :premises (@p136) :args (@t97)) % 60.29/60.60 (step @p138 :rule arith-leq-norm :args (@t86 0)) % 60.29/60.60 (step @p139 :rule trans :premises (@p138 @p137)) % 60.29/60.60 (step @p140 :rule cong :premises (@p139) :args (@t99)) % 60.29/60.60 (step @p141 :rule trans :premises (@p140 @p130)) % 60.29/60.60 (step @p142 :rule arith-elim-leq :args (@t86 0)) % 60.29/60.60 (step @p143 :rule symm :premises (@p142)) % 60.29/60.60 (step @p144 :rule cong :premises (@p143) :args (@t100)) % 60.29/60.60 (step @p145 :rule arith-elim-gt :args (@t86 0)) % 60.29/60.60 (step @p146 :rule trans :premises (@p145 @p144)) % 60.29/60.60 (step @p147 :rule trans :premises (@p146 @p141)) % 60.29/60.60 (step @p148 :rule cong :premises (@p147) :args ((not @t101))) % 60.29/60.60 (step @p149 :rule symm :premises (@p148)) % 60.29/60.60 (step @p150 :rule trans :premises (@p139 @p149)) % 60.29/60.60 (step @p151 :rule arith-elim-lt :args (@t86 1)) % 60.29/60.60 (step @p152 :rule symm :premises (@p151)) % 60.29/60.60 (step @p153 :rule eq_resolve :premises (@p777 @p152)) % 60.29/60.60 (step @p154 :rule int_tight_ub :premises (@p153)) % 60.29/60.60 (step @p155 :rule eq_resolve :premises (@p154 @p150)) % 60.29/60.60 (step @p156 :rule symm :premises (@p147)) % 60.29/60.60 (step @p157 :rule trans :premises (@p141 @p156)) % 60.29/60.60 (assume-push @p779 @t98) % 60.29/60.60 (step @p159 :rule evaluate :args ((<= 0 -2))) % 60.29/60.60 (step @p160 :rule evaluate :args ((+ 0 -2))) % 60.29/60.60 (step @p161 :rule evaluate :args (@t102)) % 60.29/60.60 (step @p162 :rule refl :args (0)) % 60.29/60.60 (step @p163 :rule nary_cong :premises (@p162 @p161) :args (@t103)) % 60.29/60.60 (step @p164 :rule trans :premises (@p163 @p160)) % 60.29/60.60 (step @p165 :rule arith_poly_norm :args ((= @t104 0))) % 60.29/60.60 (step @p166 :rule cong :premises (@p165 @p164) :args ((<= @t104 @t103))) % 60.29/60.60 (step @p167 :rule trans :premises (@p166 @p159)) % 60.29/60.60 (step @p168 :rule arith_mult_neg :args (-1 @t87)) % 60.29/60.60 (step @p169 :rule evaluate :args (@t105)) % 60.29/60.60 (step @p170 :rule true_elim :premises (@p169)) % 60.29/60.60 (step @p171 :rule and_intro :premises (@p170 @p129)) % 60.29/60.60 (step @p172 :rule modus_ponens :premises (@p171 @p168)) % 60.29/60.60 (step @p173 :rule arith_sum_ub :premises (@p779 @p172)) % 60.29/60.60 (step @p174 false :rule eq_resolve :premises (@p173 @p167)) % 60.29/60.60 (step-pop @p780 :rule scope :premises (@p174)) % 60.29/60.60 (step @p175 :rule process_scope :premises (@p780) :args (false)) % 60.29/60.60 (step @p177 :rule eq_resolve :premises (@p175 @p157)) % 60.29/60.60 (step @p178 false :rule contra :premises (@p177 @p155)) % 60.29/60.60 (step-pop @p781 :rule scope :premises (@p178)) % 60.29/60.60 (step-pop @p782 :rule scope :premises (@p781)) % 60.29/60.60 (step @p179 :rule process_scope :premises (@p782) :args (false)) % 60.29/60.60 (assume-push @p783 @t87) % 60.29/60.60 (assume-push @p784 @t95) % 60.29/60.60 (step @p184 :rule and_intro :premises (@p784 @p129)) % 60.29/60.60 (step-pop @p785 :rule scope :premises (@p184)) % 60.29/60.60 (step-pop @p786 :rule scope :premises (@p785)) % 60.29/60.60 (step @p185 :rule process_scope :premises (@p786) :args (@t106)) % 60.29/60.60 (step @p188 :rule implies_elim :premises (@p185)) % 60.29/60.60 (step @p189 :rule resolution :premises (@p188 @p179) :args (true @t106)) % 60.29/60.60 (step @p190 :rule not_and :premises (@p189)) % 60.29/60.60 (step @p191 :rule eq_resolve :premises (@p190 @p132)) % 60.29/60.60 (step @p192 :rule chain_m_resolution :premises (@p191 @p129) :args (@t93 @t92 (@list @t87))) % 60.29/60.60 (step @p193 :rule cnf_and_neg :args (@t107)) % 60.29/60.60 (step @p194 :rule reordering :premises (@p193) :args ((or @t94 @t95 @t107))) % 60.29/60.60 (step @p195 :rule chain_m_resolution :premises (@p194 @p129 @p192) :args (@t107 (@list false false) (@list @t87 @t93))) % 60.29/60.60 (step @p196 :rule arith_poly_norm :args ((= @t109 @t108))) % 60.29/60.60 (step @p197 :rule arith_poly_norm :args ((= @t111 @t110))) % 60.29/60.60 (step @p198 :rule cong :premises (@p197 @p196) :args (@t112)) % 60.29/60.60 (step @p135 :rule refl :args (@t86)) % 60.29/60.60 (step @p136 :rule cong :premises (@p135 @p98) :args (@t96)) % 60.29/60.60 (step @p137 :rule cong :premises (@p136) :args (@t97)) % 60.29/60.60 (step @p138 :rule arith-leq-norm :args (@t86 0)) % 60.29/60.60 (step @p139 :rule trans :premises (@p138 @p137)) % 60.29/60.60 (step @p140 :rule cong :premises (@p139) :args (@t99)) % 60.29/60.60 (step @p141 :rule trans :premises (@p140 @p130)) % 60.29/60.60 (step @p142 :rule arith-elim-leq :args (@t86 0)) % 60.29/60.60 (step @p143 :rule symm :premises (@p142)) % 60.29/60.60 (step @p144 :rule cong :premises (@p143) :args (@t100)) % 60.29/60.60 (step @p145 :rule arith-elim-gt :args (@t86 0)) % 60.29/60.60 (step @p146 :rule trans :premises (@p145 @p144)) % 60.29/60.60 (step @p147 :rule trans :premises (@p146 @p141)) % 60.29/60.60 (step @p199 :rule nary_cong :premises (@p147 @p117) :args (@t113)) % 60.29/60.60 (step @p200 :rule cong :premises (@p199 @p198) :args ((=> @t113 @t112))) % 60.29/60.60 (step @p201 :rule symm :premises (@p200)) % 60.29/60.60 (step @p202 :rule refl :args (@t87)) % 60.29/60.60 (step @p203 :rule nary_cong :premises (@p147 @p202) :args (@t114)) % 60.29/60.60 (step @p204 :rule cong :premises (@p203 @p198) :args ((=> @t114 @t112))) % 60.29/60.60 (step @p205 :rule trans :premises (@p204 @p201)) % 60.29/60.60 (step @p206 :rule arith_mult_pos :args (@t86 @t87)) % 60.29/60.60 (step @p207 :rule eq_resolve :premises (@p206 @p205)) % 60.29/60.60 (step @p208 :rule eq_resolve :premises (@p207 @p200)) % 60.29/60.60 (step @p209 :rule implies_elim :premises (@p208)) % 60.29/60.60 (step @p210 :rule reordering :premises (@p209) :args ((or @t115 (not @t107)))) % 60.29/60.60 (step @p211 :rule chain_m_resolution :premises (@p210 @p195) :args (@t115 @t92 (@list @t107))) % 60.29/60.60 (step @p212 :rule arith_poly_norm :args ((= @t2 (* @t1 @t1)))) % 60.29/60.60 (step @p213 :rule refl :args (@t3)) % 60.29/60.60 (step @p214 :rule cong :premises (@p213 @p212) :args (@t4)) % 60.29/60.60 (step @p215 :rule cong :premises (@p214) :args (@t6)) % 60.29/60.60 (step @p216 :rule eq_resolve :premises (@p1 @p215)) % 60.29/60.60 (step @p217 :rule instantiate :premises (@p216) :args ((@list @t86))) % 60.29/60.60 (step @p218 :rule and_elim :premises (@p113) :args (1)) % 60.29/60.60 (step @p219 :rule aci_norm :args ((= (or false @t118) @t118))) % 60.29/60.60 (step @p220 :rule evaluate :args (@t119)) % 60.29/60.60 (step @p221 :rule cong :premises (@p220 @p34) :args (@t120)) % 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(step @p283 :rule arith_poly_norm_rel :premises (@p282) :args (@t155)) % 60.29/60.60 (step @p284 :rule symm :premises (@p283)) % 60.29/60.60 (step @p285 :rule eq_resolve :premises (@p217 @p284)) % 60.29/60.60 (step @p585 :rule and_intro :premises (@p435 @p285)) % 60.29/60.60 (step @p586 :rule modus_ponens :premises (@p585 @p584)) % 60.29/60.60 (step @p587 :rule arith_mult_pos :args (16 @t87)) % 60.29/60.60 (step @p588 :rule evaluate :args ((> 16 0))) % 60.29/60.60 (step @p589 :rule true_elim :premises (@p588)) % 60.29/60.60 (step @p590 :rule and_intro :premises (@p589 @p129)) % 60.29/60.60 (step @p591 :rule modus_ponens :premises (@p590 @p587)) % 60.29/60.60 (step @p592 :rule arith_mult_neg :args (-8 @t157)) % 60.29/60.60 (step @p293 :rule arith_poly_norm :args (@t156)) % 60.29/60.60 (step @p294 :rule arith_poly_norm_rel :premises (@p293) :args (@t158)) % 60.29/60.60 (step @p295 :rule symm :premises (@p294)) % 60.29/60.60 (step @p593 :rule eq_resolve :premises (@p839 @p295)) % 60.29/60.60 (step @p420 :rule evaluate :args (@t224)) % 60.29/60.60 (step @p421 :rule true_elim :premises (@p420)) % 60.29/60.60 (step @p594 :rule and_intro :premises (@p421 @p593)) % 60.29/60.60 (step @p595 :rule modus_ponens :premises (@p594 @p592)) % 60.29/60.60 (step @p596 :rule arith_mult_neg :args (-1 @t240)) % 60.29/60.60 (step @p597 :rule and_intro :premises (@p170 @p847)) % 60.29/60.60 (step @p598 :rule modus_ponens :premises (@p597 @p596)) % 60.29/60.60 (step @p599 :rule arith_sum_ub :premises (@p598 @p595 @p591 @p586 @p583 @p416 @p409 @p580)) % 60.29/60.60 (step @p600 false :rule eq_resolve :premises (@p599 @p575)) % 60.29/60.60 (step-pop @p848 :rule scope :premises (@p600)) % 60.29/60.60 (step-pop @p849 :rule scope :premises (@p848)) % 60.29/60.60 (step-pop @p850 :rule scope :premises (@p849)) % 60.29/60.60 (step-pop @p851 :rule scope :premises (@p850)) % 60.29/60.60 (step-pop @p852 :rule scope :premises (@p851)) % 60.29/60.60 (step-pop @p853 :rule scope :premises (@p852)) % 60.29/60.60 (step-pop @p854 :rule scope :premises (@p853)) % 60.29/60.60 (step-pop @p855 :rule scope :premises (@p854)) % 60.29/60.60 (step-pop @p856 :rule scope :premises (@p855)) % 60.29/60.60 (step @p601 :rule process_scope :premises (@p856) :args (false)) % 60.29/60.60 (step @p611 :rule not_and :premises (@p601)) % 60.29/60.60 (step @p612 :rule eq_resolve :premises (@p611 @p552)) % 60.29/60.60 (step @p613 :rule reordering :premises (@p612) :args ((or @t129 @t131 @t94 @t132 @t196 @t198 @t242 @t243 @t199))) % 60.29/60.60 (step @p614 :rule chain_m_resolution :premises (@p613 @p239 @p217 @p129 @p211 @p363 @p344 @p548 @p459) :args (@t243 (@list false false false false false false false false) (@list @t118 @t130 @t87 @t115 @t187 @t197 @t240 @t195))) % 60.29/60.60 (step @p615 :rule refl :args (@t244)) % 60.29/60.60 (step @p616 :rule refl :args (@t258)) % 60.29/60.60 (step @p617 :rule refl :args (@t263)) % 60.29/60.60 (step @p618 :rule bool-double-not-elim :args (@t266)) % 60.29/60.60 (step @p619 :rule nary_cong :premises (@p618 @p617 @p616 @p615) :args ((or (not @t267) @t263 @t258 @t244))) % 60.29/60.60 (assume-push @p857 @t257) % 60.29/60.60 (assume-push @p858 @t267) % 60.29/60.60 (assume-push @p859 @t262) % 60.29/60.60 (assume-push @p860 @t268) % 60.29/60.60 (assume-push @p861 @t270) % 60.29/60.60 (step @p250 :rule evaluate :args (@t134)) % 60.29/60.60 (step @p625 :rule evaluate :args ((+ 0 -2 0 2))) % 60.29/60.60 (step @p626 :rule evaluate :args (@t271)) % 60.29/60.60 (step @p162 :rule refl :args (0)) % 60.29/60.60 (step @p627 :rule refl :args (-2)) % 60.29/60.60 (step @p628 :rule nary_cong :premises (@p162 @p627 @p162 @p626) :args (@t272)) % 60.29/60.60 (step @p629 :rule trans :premises (@p628 @p625)) % 60.29/60.60 (step @p630 :rule arith_poly_norm :args ((= (+ 0 @t260 @t259 0 @t273 0 @t51) 0))) % 60.29/60.60 (step @p631 :rule refl :args (@t51)) % 60.29/60.60 (step @p632 :rule arith_poly_norm :args (@t275)) % 60.29/60.60 (step @p633 :rule refl :args (@t273)) % 60.29/60.60 (step @p634 :rule arith_poly_norm :args (@t277)) % 60.29/60.60 (step @p635 :rule refl :args (@t259)) % 60.29/60.60 (step @p636 :rule refl :args (@t260)) % 60.29/60.60 (step @p637 :rule arith_poly_norm :args (@t279)) % 60.29/60.60 (step @p638 :rule nary_cong :premises (@p637 @p636 @p635 @p634 @p633 @p632 @p631) :args (@t280)) % 60.29/60.60 (step @p639 :rule trans :premises (@p638 @p630)) % 60.29/60.60 (step @p640 :rule arith_poly_norm :args ((= @t283 @t280))) % 60.29/60.60 (step @p641 :rule trans :premises (@p640 @p639)) % 60.29/60.60 (step @p642 :rule cong :premises (@p641 @p629) :args (@t284)) % 60.29/60.60 (step @p643 :rule trans :premises (@p642 @p250)) % 60.29/60.60 (step @p644 :rule cong :premises (@p643) :args ((not @t284))) % 60.29/60.60 (step @p645 :rule trans :premises (@p644 @p225)) % 60.29/60.60 (step @p646 :rule arith-elim-lt :args (@t283 @t272)) % 60.29/60.60 (step @p647 :rule trans :premises (@p646 @p645)) % 60.29/60.60 (step @p648 :rule arith_mult_neg :args (-1 @t285)) % 60.29/60.60 (step @p649 :rule arith_poly_norm :args (@t286)) % 60.29/60.60 (step @p650 :rule arith_poly_norm_rel :premises (@p649) :args (@t287)) % 60.29/60.60 (step @p651 :rule symm :premises (@p650)) % 60.29/60.60 (step @p652 :rule eq_resolve :premises (@p72 @p651)) % 60.29/60.60 (step @p169 :rule evaluate :args (@t105)) % 60.29/60.60 (step @p170 :rule true_elim :premises (@p169)) % 60.29/60.60 (step @p653 :rule and_intro :premises (@p170 @p652)) % 60.29/60.60 (step @p654 :rule modus_ponens :premises (@p653 @p648)) % 60.29/60.60 (step @p655 :rule arith-elim-lt :args (@t265 0)) % 60.29/60.60 (step @p656 :rule symm :premises (@p655)) % 60.29/60.60 (step @p657 :rule eq_resolve :premises (@p858 @p656)) % 60.29/60.60 (step @p658 :rule arith_poly_norm :args (@t288)) % 60.29/60.60 (step @p659 :rule arith_poly_norm_rel :premises (@p658) :args (@t290)) % 60.29/60.60 (step @p660 :rule symm :premises (@p659)) % 60.29/60.60 (step @p661 :rule eq_resolve :premises (@p50 @p660)) % 60.29/60.60 (step @p662 :rule arith_sum_ub :premises (@p861 @p661 @p657 @p654)) % 60.29/60.60 (step @p663 false :rule eq_resolve :premises (@p662 @p647)) % 60.29/60.60 (step-pop @p862 :rule scope :premises (@p663)) % 60.29/60.60 (step @p664 :rule process_scope :premises (@p862) :args (false)) % 60.29/60.60 (step @p666 :rule arith_poly_norm :args (@t291)) % 60.29/60.60 (step @p667 :rule arith_poly_norm_rel :premises (@p666) :args (@t292)) % 60.29/60.60 (step @p668 :rule symm :premises (@p667)) % 60.29/60.60 (step @p669 :rule eq_resolve :premises (@p860 @p668)) % 60.29/60.60 (step @p670 false :rule contra :premises (@p669 @p664)) % 60.29/60.60 (step-pop @p863 :rule scope :premises (@p670)) % 60.29/60.60 (step-pop @p864 :rule scope :premises (@p863)) % 60.29/60.60 (step-pop @p865 :rule scope :premises (@p864)) % 60.29/60.60 (step-pop @p866 :rule scope :premises (@p865)) % 60.29/60.60 (step @p671 :rule process_scope :premises (@p866) :args (false)) % 60.29/60.60 (assume-push @p867 @t267) % 60.29/60.60 (assume-push @p868 @t262) % 60.29/60.60 (assume-push @p869 @t257) % 60.29/60.60 (assume-push @p870 @t243) % 60.29/60.60 (assume-push @p871 @t293) % 60.29/60.60 (step @p681 :rule symm :premises (@p871)) % 60.29/60.60 (step @p682 :rule refl :args (@t252)) % 60.29/60.60 (step @p683 :rule cong :premises (@p682 @p681) :args (@t259)) % 60.29/60.60 (step-pop @p872 :rule scope :premises (@p683)) % 60.29/60.60 (step @p684 :rule process_scope :premises (@p872) :args (@t268)) % 60.29/60.60 (assume-push @p873 @t243) % 60.29/60.60 (step @p687 :rule symm :premises (@p870)) % 60.29/60.60 (step-pop @p874 :rule scope :premises (@p687)) % 60.29/60.60 (step @p688 :rule process_scope :premises (@p874) :args (@t293)) % 60.29/60.60 (step @p690 :rule modus_ponens :premises (@p870 @p688)) % 60.29/60.60 (step @p691 :rule modus_ponens :premises (@p690 @p684)) % 60.29/60.60 (step @p692 :rule and_intro :premises (@p72 @p867 @p50 @p691)) % 60.29/60.60 (step-pop @p875 :rule scope :premises (@p692)) % 60.29/60.60 (step-pop @p876 :rule scope :premises (@p875)) % 60.29/60.60 (step-pop @p877 :rule scope :premises (@p876)) % 60.29/60.60 (step-pop @p878 :rule scope :premises (@p877)) % 60.29/60.60 (step @p693 :rule process_scope :premises (@p878) :args (@t294)) % 60.29/60.60 (step @p698 :rule implies_elim :premises (@p693)) % 60.29/60.60 (step @p699 :rule resolution :premises (@p698 @p671) :args (true @t294)) % 60.29/60.60 (step @p700 :rule not_and :premises (@p699)) % 60.29/60.60 (step @p701 :rule eq_resolve :premises (@p700 @p619)) % 60.29/60.60 (step @p702 :rule chain_m_resolution :premises (@p701 @p50 @p72 @p614) :args (@t266 (@list false false false) (@list @t262 @t257 @t243))) % 60.29/60.60 (step @p703 :rule refl :args (@t267)) % 60.29/60.60 (step @p704 :rule bool-double-not-elim :args (@t52)) % 60.29/60.60 (step @p705 :rule nary_cong :premises (@p704 @p703 @p617 @p616 @p615) :args ((or (not @t54) @t267 @t263 @t258 @t244))) % 60.29/60.60 (assume-push @p879 @t257) % 60.29/60.60 (assume-push @p880 @t54) % 60.29/60.60 (assume-push @p881 @t266) % 60.29/60.60 (assume-push @p882 @t262) % 60.29/60.60 (assume-push @p883 @t268) % 60.29/60.60 (assume-push @p884 @t270) % 60.29/60.60 (step @p468 :rule evaluate :args (@t226)) % 60.29/60.60 (step @p712 :rule evaluate :args ((+ 0 2 -1 -2))) % 60.29/60.60 (step @p627 :rule refl :args (-2)) % 60.29/60.60 (step @p626 :rule evaluate :args (@t271)) % 60.29/60.60 (step @p252 :rule evaluate :args (@t135)) % 60.29/60.60 (step @p713 :rule nary_cong :premises (@p252 @p626 @p89 @p627) :args (@t295)) % 60.29/60.60 (step @p714 :rule trans :premises (@p713 @p712)) % 60.29/60.60 (step @p715 :rule arith_poly_norm :args ((= (+ 0 @t259 @t260 0 @t51 0 @t273) 0))) % 60.29/60.60 (step @p633 :rule refl :args (@t273)) % 60.29/60.60 (step @p632 :rule arith_poly_norm :args (@t275)) % 60.29/60.60 (step @p631 :rule refl :args (@t51)) % 60.29/60.60 (step @p634 :rule arith_poly_norm :args (@t277)) % 60.29/60.60 (step @p636 :rule refl :args (@t260)) % 60.29/60.60 (step @p635 :rule refl :args (@t259)) % 60.29/60.60 (step @p637 :rule arith_poly_norm :args (@t279)) % 60.29/60.60 (step @p716 :rule nary_cong :premises (@p637 @p635 @p636 @p634 @p631 @p632 @p633) :args (@t296)) % 60.29/60.60 (step @p717 :rule trans :premises (@p716 @p715)) % 60.29/60.60 (step @p718 :rule arith_poly_norm :args ((= @t297 @t296))) % 60.29/60.60 (step @p719 :rule trans :premises (@p718 @p717)) % 60.29/60.60 (step @p720 :rule cong :premises (@p719 @p714) :args ((<= @t297 @t295))) % 60.29/60.60 (step @p721 :rule trans :premises (@p720 @p468)) % 60.29/60.60 (step @p649 :rule arith_poly_norm :args (@t286)) % 60.29/60.60 (step @p650 :rule arith_poly_norm_rel :premises (@p649) :args (@t287)) % 60.29/60.60 (step @p651 :rule symm :premises (@p650)) % 60.29/60.60 (step @p652 :rule eq_resolve :premises (@p72 @p651)) % 60.29/60.60 (step @p722 :rule arith_mult_neg :args (-1 (>= @t265 1))) % 60.29/60.60 (step @p723 :rule arith_poly_norm :args ((= (* 1 (- @t265 0)) (* 1 (- @t51 @t50))))) % 60.29/60.60 (step @p724 :rule arith_poly_norm_rel :premises (@p723) :args ((= @t298 @t52))) % 60.29/60.60 (step @p725 :rule cong :premises (@p724) :args ((not @t298))) % 60.29/60.60 (step @p726 :rule symm :premises (@p725)) % 60.29/60.60 (step @p727 :rule eq_resolve :premises (@p24 @p726)) % 60.29/60.60 (step @p728 :rule arith_trichotomy :premises (@p727 @p881)) % 60.29/60.60 (step @p729 :rule int_tight_lb :premises (@p728)) % 60.29/60.60 (step @p169 :rule evaluate :args (@t105)) % 60.29/60.60 (step @p170 :rule true_elim :premises (@p169)) % 60.29/60.60 (step @p730 :rule and_intro :premises (@p170 @p729)) % 60.29/60.60 (step @p731 :rule modus_ponens :premises (@p730 @p722)) % 60.29/60.60 (step @p732 :rule arith_mult_neg :args (-1 @t289)) % 60.29/60.60 (step @p658 :rule arith_poly_norm :args (@t288)) % 60.29/60.60 (step @p659 :rule arith_poly_norm_rel :premises (@p658) :args (@t290)) % 60.29/60.60 (step @p660 :rule symm :premises (@p659)) % 60.29/60.60 (step @p661 :rule eq_resolve :premises (@p50 @p660)) % 60.29/60.60 (step @p733 :rule and_intro :premises (@p170 @p661)) % 60.29/60.60 (step @p734 :rule modus_ponens :premises (@p733 @p732)) % 60.29/60.60 (step @p735 :rule arith_mult_neg :args (-1 @t270)) % 60.29/60.60 (step @p736 :rule and_intro :premises (@p170 @p884)) % 60.29/60.60 (step @p737 :rule modus_ponens :premises (@p736 @p735)) % 60.29/60.60 (step @p738 :rule arith_sum_ub :premises (@p737 @p734 @p731 @p652)) % 60.29/60.60 (step @p739 false :rule eq_resolve :premises (@p738 @p721)) % 60.29/60.60 (step-pop @p885 :rule scope :premises (@p739)) % 60.29/60.60 (step @p740 :rule process_scope :premises (@p885) :args (false)) % 60.29/60.60 (step @p666 :rule arith_poly_norm :args (@t291)) % 60.29/60.60 (step @p667 :rule arith_poly_norm_rel :premises (@p666) :args (@t292)) % 60.29/60.60 (step @p668 :rule symm :premises (@p667)) % 60.29/60.60 (step @p742 :rule eq_resolve :premises (@p883 @p668)) % 60.29/60.60 (step @p743 false :rule contra :premises (@p742 @p740)) % 60.29/60.60 (step-pop @p886 :rule scope :premises (@p743)) % 60.29/60.60 (step-pop @p887 :rule scope :premises (@p886)) % 60.29/60.60 (step-pop @p888 :rule scope :premises (@p887)) % 60.29/60.60 (step-pop @p889 :rule scope :premises (@p888)) % 60.29/60.60 (step-pop @p890 :rule scope :premises (@p889)) % 60.29/60.60 (step @p744 :rule process_scope :premises (@p890) :args (false)) % 60.29/60.60 (assume-push @p891 @t54) % 60.29/60.60 (assume-push @p892 @t266) % 60.29/60.60 (assume-push @p893 @t262) % 60.29/60.60 (assume-push @p894 @t257) % 60.29/60.60 (assume-push @p895 @t243) % 60.29/60.60 (assume-push @p896 @t293) % 60.29/60.60 (step @p681 :rule symm :premises (@p896)) % 60.29/60.60 (step @p682 :rule refl :args (@t252)) % 60.29/60.60 (step @p683 :rule cong :premises (@p682 @p681) :args (@t259)) % 60.29/60.60 (step-pop @p897 :rule scope :premises (@p683)) % 60.29/60.60 (step @p756 :rule process_scope :premises (@p897) :args (@t268)) % 60.29/60.60 (assume-push @p898 @t243) % 60.29/60.60 (step @p687 :rule symm :premises (@p895)) % 60.29/60.60 (step-pop @p899 :rule scope :premises (@p687)) % 60.29/60.60 (step @p759 :rule process_scope :premises (@p899) :args (@t293)) % 60.29/60.60 (step @p761 :rule modus_ponens :premises (@p895 @p759)) % 60.29/60.60 (step @p762 :rule modus_ponens :premises (@p761 @p756)) % 60.29/60.60 (step @p763 :rule and_intro :premises (@p72 @p24 @p892 @p50 @p762)) % 60.29/60.60 (step-pop @p900 :rule scope :premises (@p763)) % 60.29/60.60 (step-pop @p901 :rule scope :premises (@p900)) % 60.29/60.60 (step-pop @p902 :rule scope :premises (@p901)) % 60.29/60.60 (step-pop @p903 :rule scope :premises (@p902)) % 60.29/60.60 (step-pop @p904 :rule scope :premises (@p903)) % 60.29/60.60 (step @p764 :rule process_scope :premises (@p904) :args (@t299)) % 60.29/60.60 (step @p770 :rule implies_elim :premises (@p764)) % 60.29/60.60 (step @p771 :rule resolution :premises (@p770 @p744) :args (true @t299)) % 60.29/60.60 (step @p772 :rule not_and :premises (@p771)) % 60.29/60.60 (step @p773 :rule eq_resolve :premises (@p772 @p705)) % 60.29/60.60 (step @p774 false :rule chain_m_resolution :premises (@p773 @p702 @p614 @p72 @p50 @p24) :args (false (@list false false false false true) (@list @t266 @t243 @t257 @t262 @t52))) % 60.29/60.60 ) % 60.29/60.60 % SZS output end Proof % 60.29/60.60 % cvc5 exiting %------------------------------------------------------------------------------