%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI643_1 : TPTP v9.2.1. Released v6.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:08:02 AM UTC 2026 % Result : Theorem 0.39s 0.62s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI643_1 : TPTP v9.2.1. Released v6.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:30:29 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_ARI % 0.39/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.39/0.62 % SZS status Theorem % 0.39/0.62 % SZS output start Proof % 0.39/0.62 ( % 0.39/0.62 (declare-const tptp.a Int) % 0.39/0.62 (define @t1 () (to_real tptp.a)) % 0.39/0.62 (define @t2 () (to_real 0)) % 0.39/0.62 (define @t3 () (/ @t2 @t1)) % 0.39/0.62 (define @t4 () (- @t3)) % 0.39/0.62 (define @t5 () (to_int @t4)) % 0.39/0.62 (define @t6 () (- @t5)) % 0.39/0.62 (define @t7 () (to_int @t3)) % 0.39/0.62 (define @t8 () (>= @t1 0/1)) % 0.39/0.62 (define @t9 () (ite @t8 @t7 @t6)) % 0.39/0.62 (define @t10 () (= @t9 0)) % 0.39/0.62 (define @t11 () (= tptp.a 0)) % 0.39/0.62 (define @t12 () (not @t11)) % 0.39/0.62 (define @t13 () (=> @t12 @t10)) % 0.39/0.62 (define @t14 () (not @t13)) % 0.39/0.62 (define @t15 () (/ 0/1 @t1)) % 0.39/0.62 (define @t16 () (* -1/1 @t15)) % 0.39/0.62 (define @t17 () (to_int @t16)) % 0.39/0.62 (define @t18 () (* -1 @t17)) % 0.39/0.62 (define @t19 () (to_int @t15)) % 0.39/0.62 (define @t20 () (>= tptp.a 0)) % 0.39/0.62 (define @t21 () (ite @t20 @t19 @t18)) % 0.39/0.62 (define @t22 () (@purify @t21)) % 0.39/0.62 (define @t23 () (= @t22 @t21)) % 0.39/0.62 (define @t24 () (= @t21 0)) % 0.39/0.62 (define @t25 () (=> @t12 @t24)) % 0.39/0.62 (define @t26 () (* -1/1 @t3)) % 0.39/0.62 (define @t27 () (* -1 @t5)) % 0.39/0.62 (define @t28 () (/_total 0/1 @t1)) % 0.39/0.62 (define @t29 () (@purify @t28)) % 0.39/0.62 (define @t30 () (* @t29 @t1)) % 0.39/0.62 (define @t31 () (= @t30 0/1)) % 0.39/0.62 (define @t32 () (not @t12)) % 0.39/0.62 (define @t33 () (* @t1 @t29)) % 0.39/0.62 (define @t34 () (= @t33 0/1)) % 0.39/0.62 (define @t35 () (= @t1 0/1)) % 0.39/0.62 (define @t36 () (= @t35 @t11)) % 0.39/0.62 (define @t37 () (not @t35)) % 0.39/0.62 (define @t38 () (@list true)) % 0.39/0.62 (define @t39 () (@list @t11)) % 0.39/0.62 (define @t40 () (>= @t30 0/1)) % 0.39/0.62 (define @t41 () (not @t31)) % 0.39/0.62 (define @t42 () (not @t40)) % 0.39/0.62 (define @t43 () (< @t30 0/1)) % 0.39/0.62 (define @t44 () (not true)) % 0.39/0.62 (define @t45 () (>= 0/1 0/1)) % 0.39/0.62 (define @t46 () (+ 0/1 0/1)) % 0.39/0.62 (define @t47 () (* -1/1 0/1)) % 0.39/0.62 (define @t48 () (+ 0/1 @t47)) % 0.39/0.62 (define @t49 () (* -1/1 @t30)) % 0.39/0.62 (define @t50 () (+ @t30 @t49)) % 0.39/0.62 (define @t51 () (>= @t50 @t48)) % 0.39/0.62 (define @t52 () (< -1/1 0/1)) % 0.39/0.62 (define @t53 () (and @t42 @t31)) % 0.39/0.62 (define @t54 () (@list false)) % 0.39/0.62 (define @t55 () (@list @t31)) % 0.39/0.62 (define @t56 () (>= @t49 0/1)) % 0.39/0.62 (define @t57 () (not @t56)) % 0.39/0.62 (define @t58 () (>= 0/1 @t30)) % 0.39/0.62 (define @t59 () (not @t58)) % 0.39/0.62 (define @t60 () (= (* -1/1 (- 0/1 @t30)) (* -1/1 (- @t49 0/1)))) % 0.39/0.62 (define @t61 () (= @t58 @t56)) % 0.39/0.62 (define @t62 () (not (<= @t30 0/1))) % 0.39/0.62 (define @t63 () (> @t30 0/1)) % 0.39/0.62 (define @t64 () (+ @t47 0/1)) % 0.39/0.62 (define @t65 () (+ @t49 @t30)) % 0.39/0.62 (define @t66 () (>= @t65 @t64)) % 0.39/0.62 (define @t67 () (and @t57 @t31)) % 0.39/0.62 (define @t68 () (>= tptp.a 1)) % 0.39/0.62 (define @t69 () (+ 0 1)) % 0.39/0.62 (define @t70 () (>= tptp.a @t69)) % 0.39/0.62 (define @t71 () (* -1/1 @t29)) % 0.39/0.62 (define @t72 () (>= @t71 0/1)) % 0.39/0.62 (define @t73 () (>= 0/1 @t29)) % 0.39/0.62 (define @t74 () (<= @t29 0/1)) % 0.39/0.62 (define @t75 () (> tptp.a 0)) % 0.39/0.62 (define @t76 () (> @t29 0/1)) % 0.39/0.62 (define @t77 () (and @t76 @t75)) % 0.39/0.62 (define @t78 () (> @t1 0/1)) % 0.39/0.62 (define @t79 () (= @t78 @t75)) % 0.39/0.62 (define @t80 () (and @t76 @t78)) % 0.39/0.62 (define @t81 () (not @t72)) % 0.39/0.62 (define @t82 () (and @t81 @t68)) % 0.39/0.62 (define @t83 () (not @t82)) % 0.39/0.62 (define @t84 () (@list @t56)) % 0.39/0.62 (define @t85 () (@div_by_zero 0/1)) % 0.39/0.62 (define @t86 () (ite @t11 @t85 @t28)) % 0.39/0.62 (define @t87 () (@purify @t86)) % 0.39/0.62 (define @t88 () (* -1/1 @t87)) % 0.39/0.62 (define @t89 () (to_int @t88)) % 0.39/0.62 (define @t90 () (= @t87 @t86)) % 0.39/0.62 (define @t91 () (ite @t35 @t85 @t28)) % 0.39/0.62 (define @t92 () (= @t22 @t18)) % 0.39/0.62 (define @t93 () (to_int @t87)) % 0.39/0.62 (define @t94 () (= @t22 @t19)) % 0.39/0.62 (define @t95 () (= @t21 @t18)) % 0.39/0.62 (define @t96 () (= @t21 @t19)) % 0.39/0.62 (define @t97 () (< tptp.a 0)) % 0.39/0.62 (define @t98 () (< @t29 0/1)) % 0.39/0.62 (define @t99 () (and @t98 @t97)) % 0.39/0.62 (define @t100 () (< @t1 0/1)) % 0.39/0.62 (define @t101 () (= @t100 @t97)) % 0.39/0.62 (define @t102 () (and @t98 @t100)) % 0.39/0.62 (define @t103 () (not @t20)) % 0.39/0.62 (define @t104 () (>= @t29 0/1)) % 0.39/0.62 (define @t105 () (not @t104)) % 0.39/0.62 (define @t106 () (and @t105 @t103)) % 0.39/0.62 (define @t107 () (not @t106)) % 0.39/0.62 (define @t108 () (not @t103)) % 0.39/0.62 (define @t109 () (not @t105)) % 0.39/0.62 (define @t110 () (and @t76 @t97)) % 0.39/0.62 (define @t111 () (and @t76 @t100)) % 0.39/0.62 (define @t112 () (and @t81 @t103)) % 0.39/0.62 (define @t113 () (not @t112)) % 0.39/0.62 (define @t114 () (not @t81)) % 0.39/0.62 (define @t115 () (@purify @t89)) % 0.39/0.62 (define @t116 () (* -1 @t115)) % 0.39/0.62 (define @t117 () (to_real @t116)) % 0.39/0.62 (define @t118 () (to_real @t115)) % 0.39/0.62 (define @t119 () (* -1/1 @t118)) % 0.39/0.62 (define @t120 () (+ @t88 @t119)) % 0.39/0.62 (define @t121 () (- @t88 @t118)) % 0.39/0.62 (define @t122 () (>= @t121 1/1)) % 0.39/0.62 (define @t123 () (+ @t88 @t117)) % 0.39/0.62 (define @t124 () (<= 0/1 @t121)) % 0.39/0.62 (define @t125 () (@purify @t93)) % 0.39/0.62 (define @t126 () (* -1 @t125)) % 0.39/0.62 (define @t127 () (to_real @t126)) % 0.39/0.62 (define @t128 () (to_real @t125)) % 0.39/0.62 (define @t129 () (* -1/1 @t128)) % 0.39/0.62 (define @t130 () (+ @t87 @t129)) % 0.39/0.62 (define @t131 () (- @t87 @t128)) % 0.39/0.62 (define @t132 () (>= @t131 1/1)) % 0.39/0.62 (define @t133 () (+ @t87 @t127)) % 0.39/0.62 (define @t134 () (<= 0/1 @t131)) % 0.39/0.62 (define @t135 () (+ @t22 @t126)) % 0.39/0.62 (define @t136 () (>= @t135 0)) % 0.39/0.62 (define @t137 () (>= @t123 0/1)) % 0.39/0.62 (define @t138 () (not @t137)) % 0.39/0.62 (define @t139 () (= @t22 @t116)) % 0.39/0.62 (define @t140 () (not @t139)) % 0.39/0.62 (define @t141 () (>= @t133 0/1)) % 0.39/0.62 (define @t142 () (not @t141)) % 0.39/0.62 (define @t143 () (not @t136)) % 0.39/0.62 (define @t144 () (+ 0/1 0/1 0/1 0/1)) % 0.39/0.62 (define @t145 () (* -1 0)) % 0.39/0.62 (define @t146 () (to_real @t145)) % 0.39/0.62 (define @t147 () (+ 0/1 @t47 @t146 0/1)) % 0.39/0.62 (define @t148 () (* 0 @t22)) % 0.39/0.62 (define @t149 () (= @t148 0)) % 0.39/0.62 (define @t150 () (to_real @t148)) % 0.39/0.62 (define @t151 () (* 0/1 @t87)) % 0.39/0.62 (define @t152 () (= @t151 0/1)) % 0.39/0.62 (define @t153 () (* 0 @t115)) % 0.39/0.62 (define @t154 () (= @t153 0)) % 0.39/0.62 (define @t155 () (to_real @t153)) % 0.39/0.62 (define @t156 () (* 0 @t125)) % 0.39/0.62 (define @t157 () (= @t156 0)) % 0.39/0.62 (define @t158 () (to_real @t156)) % 0.39/0.62 (define @t159 () (+ @t158 @t155 @t151 @t150)) % 0.39/0.62 (define @t160 () (+ @t87 @t118)) % 0.39/0.62 (define @t161 () (+ @t22 @t115)) % 0.39/0.62 (define @t162 () (to_real (* -1 @t161))) % 0.39/0.62 (define @t163 () (* -1/1 @t133)) % 0.39/0.62 (define @t164 () (to_real @t135)) % 0.39/0.62 (define @t165 () (+ @t164 @t163 @t162 @t160)) % 0.39/0.62 (define @t166 () (>= @t165 @t147)) % 0.39/0.62 (define @t167 () (= @t161 0)) % 0.39/0.62 (define @t168 () (= (* 1 (- @t161 0)) (* 1 (- @t22 @t116)))) % 0.39/0.62 (define @t169 () (= @t167 @t139)) % 0.39/0.62 (define @t170 () (< -1 0)) % 0.39/0.62 (define @t171 () (< @t164 @t2)) % 0.39/0.62 (define @t172 () (- @t135 0)) % 0.39/0.62 (define @t173 () (= @t87 @t28)) % 0.39/0.62 (define @t174 () (= @t87 @t85)) % 0.39/0.62 (define @t175 () (= @t86 @t28)) % 0.39/0.62 (define @t176 () (= @t86 @t85)) % 0.39/0.62 (define @t177 () (= @t87 @t29)) % 0.39/0.62 (define @t178 () (>= @t22 0)) % 0.39/0.62 (define @t179 () (>= @t133 1/1)) % 0.39/0.62 (define @t180 () (not @t177)) % 0.39/0.62 (define @t181 () (not @t178)) % 0.39/0.62 (define @t182 () (not @t181)) % 0.39/0.62 (define @t183 () (not @t179)) % 0.39/0.62 (define @t184 () (not @t183)) % 0.39/0.62 (define @t185 () (+ -1 1)) % 0.39/0.62 (define @t186 () (>= @t22 @t185)) % 0.39/0.62 (define @t187 () (<= @t22 -1)) % 0.39/0.62 (define @t188 () (+ -1/1 1/1 0/1 0/1 0/1)) % 0.39/0.62 (define @t189 () (+ -1/1 1/1 @t146 @t47 @t47)) % 0.39/0.62 (define @t190 () (= (+ @t71 @t29 0/1 0/1 0/1) 0/1)) % 0.39/0.62 (define @t191 () (+ @t71 @t29 @t158 @t151 @t150)) % 0.39/0.62 (define @t192 () (+ @t87 @t71)) % 0.39/0.62 (define @t193 () (* -1/1 @t192)) % 0.39/0.62 (define @t194 () (* -1 @t135)) % 0.39/0.62 (define @t195 () (to_real @t194)) % 0.39/0.62 (define @t196 () (to_real @t22)) % 0.39/0.62 (define @t197 () (+ @t196 @t133 @t195 @t193 @t71)) % 0.39/0.62 (define @t198 () (>= @t197 @t189)) % 0.39/0.62 (define @t199 () (= @t192 0/1)) % 0.39/0.62 (define @t200 () (= (* -1/1 (- @t192 0/1)) (* -1/1 (- @t87 @t29)))) % 0.39/0.62 (define @t201 () (= @t199 @t177)) % 0.39/0.62 (define @t202 () (to_real -1)) % 0.39/0.62 (define @t203 () (<= @t196 @t202)) % 0.39/0.62 (define @t204 () (= (* 1/1 (to_real (- @t22 -1))) (* 1/1 (- @t196 @t202)))) % 0.39/0.62 (define @t205 () (= @t187 @t203)) % 0.39/0.62 (define @t206 () (and @t104 @t177 @t136 @t183 @t181)) % 0.39/0.62 (define @t207 () (= @t22 0)) % 0.39/0.62 (define @t208 () (>= @t123 1/1)) % 0.39/0.62 (define @t209 () (not @t207)) % 0.39/0.62 (define @t210 () (not @t209)) % 0.39/0.62 (define @t211 () (not @t208)) % 0.39/0.62 (define @t212 () (* -1/1 -1/1)) % 0.39/0.62 (define @t213 () (* -1 1)) % 0.39/0.62 (define @t214 () (to_real @t213)) % 0.39/0.62 (define @t215 () (+ 0/1 0/1 @t214 0/1 @t212)) % 0.39/0.62 (define @t216 () (* -1 @t22)) % 0.39/0.62 (define @t217 () (to_real @t216)) % 0.39/0.62 (define @t218 () (+ @t217 @t71 @t29 @t155 @t151 @t196)) % 0.39/0.62 (define @t219 () (to_real @t161)) % 0.39/0.62 (define @t220 () (+ @t29 @t192 @t217 @t219 (* -1/1 @t160))) % 0.39/0.62 (define @t221 () (>= @t220 @t215)) % 0.39/0.62 (define @t222 () (>= -1/1 @t160)) % 0.39/0.62 (define @t223 () (= (* 1/1 (to_real (- @t216 @t213))) (* 1/1 (- @t217 @t214)))) % 0.39/0.62 (define @t224 () (= (<= @t216 @t213) (<= @t217 @t214))) % 0.39/0.62 (define @t225 () (>= @t22 1)) % 0.39/0.62 (define @t226 () (and @t211 @t139 @t209 @t178 @t177 @t72)) % 0.39/0.62 (define @t227 () (and @t12 @t20)) % 0.39/0.62 (define @t228 () (not @t68)) % 0.39/0.62 (define @t229 () (@list false true)) % 0.39/0.62 (define @t230 () (= @t22 @t125)) % 0.39/0.62 (define @t231 () (>= @t135 1)) % 0.39/0.62 (define @t232 () (+ @t213 0)) % 0.39/0.62 (define @t233 () (+ @t156 @t148)) % 0.39/0.62 (define @t234 () (+ @t194 @t135)) % 0.39/0.62 (define @t235 () (= (* 1 @t172) (* 1 (- @t22 @t125)))) % 0.39/0.62 (define @t236 () (= @t135 0)) % 0.39/0.62 (define @t237 () (= @t236 @t230)) % 0.39/0.62 (define @t238 () (not @t231)) % 0.39/0.62 (define @t239 () (+ @t214 1/1 0/1 0/1 @t47)) % 0.39/0.62 (define @t240 () (+ @t217 @t71 @t158 @t29 @t151 @t196)) % 0.39/0.62 (define @t241 () (+ @t217 @t164 @t29 @t192 @t163)) % 0.39/0.62 (define @t242 () (>= @t241 @t239)) % 0.39/0.62 (define @t243 () (to_real 1)) % 0.39/0.62 (define @t244 () (< @t164 @t243)) % 0.39/0.62 (define @t245 () (and @t141 @t177 @t72 @t238 @t209 @t178)) % 0.39/0.62 (define @t246 () (not @t230)) % 0.39/0.62 (define @t247 () (+ @t47 1/1 @t146 @t47 -1/1)) % 0.39/0.62 (define @t248 () (+ @t71 @t133 @t195 @t193 @t196)) % 0.39/0.62 (define @t249 () (>= @t248 @t247)) % 0.39/0.62 (define @t250 () (and @t105 @t68)) % 0.39/0.62 (define @t251 () (and @t98 @t75)) % 0.39/0.62 (define @t252 () (and @t98 @t78)) % 0.39/0.62 (assume @p1 @t14) % 0.39/0.62 (assume @p2 true) % 0.39/0.62 (step @p3 :rule refl :args (0)) % 0.39/0.62 (step @p4 :rule eq-refl :args (@t21)) % 0.39/0.62 (step @p5 :rule refl :args (@t21)) % 0.39/0.62 (step @p6 :rule skolem_intro :args (@t22)) % 0.39/0.62 (step @p7 :rule cong :premises (@p6 @p5) :args (@t23)) % 0.39/0.62 (step @p8 :rule arith_poly_norm :args ((= (* -1 (- @t21 @t22)) (* 1 (- @t22 @t21))))) % 0.39/0.62 (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= (= @t21 @t22) @t23))) % 0.39/0.62 (step @p10 :rule trans :premises (@p9 @p7 @p4)) % 0.39/0.62 (step @p11 :rule true_elim :premises (@p10)) % 0.39/0.62 (step @p12 :rule cong :premises (@p11 @p3) :args (@t24)) % 0.39/0.62 (step @p13 :rule refl :args (@t12)) % 0.39/0.62 (step @p14 :rule cong :premises (@p13 @p12) :args (@t25)) % 0.39/0.62 (step @p15 :rule cong :premises (@p14) :args ((not @t25))) % 0.39/0.62 (step @p16 :rule refl :args (@t1)) % 0.39/0.62 (step @p17 :rule evaluate :args (@t2)) % 0.39/0.62 (step @p18 :rule cong :premises (@p17 @p16) :args (@t3)) % 0.39/0.62 (step @p19 :rule refl :args (-1/1)) % 0.39/0.62 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t26)) % 0.39/0.62 (step @p21 :rule arith_poly_norm :args ((= @t4 @t26))) % 0.39/0.62 (step @p22 :rule trans :premises (@p21 @p20)) % 0.39/0.62 (step @p23 :rule cong :premises (@p22) :args (@t5)) % 0.39/0.62 (step @p24 :rule refl :args (-1)) % 0.39/0.62 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t27)) % 0.39/0.62 (step @p26 :rule arith_poly_norm :args ((= @t6 @t27))) % 0.39/0.62 (step @p27 :rule trans :premises (@p26 @p25)) % 0.39/0.62 (step @p28 :rule cong :premises (@p18) :args (@t7)) % 0.39/0.62 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% 0.39/0.62 (step @p726 :rule arith_poly_norm :args ((= (* -1/1 (to_real (- @t135 1))) (* -1/1 (- @t164 @t243))))) % 0.39/0.62 (step @p727 :rule arith_poly_norm_rel :premises (@p726) :args ((= (< @t135 1) @t244))) % 0.39/0.62 (step @p728 :rule trans :premises (@p727 @p725)) % 0.39/0.62 (step @p654 :rule arith-elim-lt :args (@t135 1)) % 0.39/0.62 (step @p655 :rule symm :premises (@p654)) % 0.39/0.62 (step @p729 :rule eq_resolve :premises (@p931 @p655)) % 0.39/0.62 (step @p730 :rule eq_resolve :premises (@p729 @p728)) % 0.39/0.62 (step @p576 :rule arith_poly_norm :args (@t223)) % 0.39/0.62 (step @p731 :rule arith_poly_norm_rel :premises (@p576) :args (@t224)) % 0.39/0.62 (step @p578 :rule arith_mult_neg :args (-1 @t225)) % 0.39/0.62 (step @p360 :rule evaluate :args (@t170)) % 0.39/0.62 (step @p361 :rule true_elim :premises (@p360)) % 0.39/0.62 (step @p732 :rule and_intro :premises (@p361 @p934)) % 0.39/0.62 (step @p733 :rule modus_ponens :premises (@p732 @p578)) % 0.39/0.62 (step @p734 :rule eq_resolve :premises (@p733 @p731)) % 0.39/0.62 (step @p735 :rule arith_sum_ub :premises (@p734 @p730 @p722 @p464 @p367)) % 0.39/0.62 (step @p736 false :rule eq_resolve :premises (@p735 @p721)) % 0.39/0.62 (step-pop @p935 :rule scope :premises (@p736)) % 0.39/0.62 (step @p737 :rule process_scope :premises (@p935) :args (false)) % 0.39/0.62 (step @p739 :rule eq_resolve :premises (@p737 @p697)) % 0.39/0.62 (step @p740 :rule eq_resolve :premises (@p739 @p696)) % 0.39/0.62 (step @p741 :rule arith_trichotomy :premises (@p517 @p933)) % 0.39/0.62 (step @p742 :rule int_tight_lb :premises (@p741)) % 0.39/0.62 (step @p743 false :rule contra :premises (@p742 @p740)) % 0.39/0.62 (step-pop @p936 :rule scope :premises (@p743)) % 0.39/0.62 (step-pop @p937 :rule scope :premises (@p936)) % 0.39/0.62 (step-pop @p938 :rule scope :premises (@p937)) % 0.39/0.62 (step-pop @p939 :rule scope :premises (@p938)) % 0.39/0.62 (step-pop @p940 :rule scope :premises (@p939)) % 0.39/0.62 (step-pop @p941 :rule scope :premises (@p940)) % 0.39/0.62 (step @p744 :rule process_scope :premises (@p941) :args (false)) % 0.39/0.62 (assume-push @p942 @t177) % 0.39/0.62 (assume-push @p943 @t141) % 0.39/0.62 (assume-push @p944 @t209) % 0.39/0.62 (assume-push @p945 @t178) % 0.39/0.62 (assume-push @p946 @t238) % 0.39/0.62 (assume-push @p947 @t72) % 0.39/0.62 (step @p757 :rule and_intro :premises (@p310 @p402 @p947 @p946 @p517 @p945)) % 0.39/0.62 (step-pop @p948 :rule scope :premises (@p757)) % 0.39/0.62 (step-pop @p949 :rule scope :premises (@p948)) % 0.39/0.62 (step-pop @p950 :rule scope :premises (@p949)) % 0.39/0.62 (step-pop @p951 :rule scope :premises (@p950)) % 0.39/0.62 (step-pop @p952 :rule scope :premises (@p951)) % 0.39/0.62 (step-pop @p953 :rule scope :premises (@p952)) % 0.39/0.62 (step @p758 :rule process_scope :premises (@p953) :args (@t245)) % 0.39/0.62 (step @p765 :rule implies_elim :premises (@p758)) % 0.39/0.62 (step @p766 :rule resolution :premises (@p765 @p744) :args (true @t245)) % 0.39/0.62 (step @p767 :rule not_and :premises (@p766)) % 0.39/0.62 (step @p768 :rule eq_resolve :premises (@p767 @p689)) % 0.39/0.62 (step @p769 :rule reordering :premises (@p768) :args ((or @t207 @t180 @t142 @t181 @t231 @t81))) % 0.39/0.62 (step @p770 :rule chain_m_resolution :premises (@p769 @p517 @p402 @p310 @p687 @p648) :args (@t181 (@list true false false true false) (@list @t207 @t177 @t141 @t231 @t72))) % 0.39/0.62 (step @p771 :rule refl :args (@t246)) % 0.39/0.62 (step @p772 :rule nary_cong :premises (@p407 @p771 @p408 @p406 @p404) :args ((or @t184 @t246 @t180 @t182 @t105))) % 0.39/0.62 (assume-push @p954 @t183) % 0.39/0.62 (assume-push @p955 @t230) % 0.39/0.62 (assume-push @p956 @t177) % 0.39/0.62 (assume-push @p957 @t181) % 0.39/0.62 (assume-push @p958 @t104) % 0.39/0.62 (step @p65 :rule evaluate :args (@t44)) % 0.39/0.62 (step @p66 :rule evaluate :args (@t45)) % 0.39/0.62 (step @p778 :rule evaluate :args ((+ 0/1 1/1 0/1 0/1 -1/1))) % 0.39/0.62 (step @p779 :rule refl :args (-1/1)) % 0.39/0.62 (step @p68 :rule evaluate :args (@t47)) % 0.39/0.62 (step @p780 :rule evaluate :args (@t2)) % 0.39/0.62 (step @p322 :rule evaluate :args (@t145)) % 0.39/0.62 (step @p781 :rule cong :premises (@p322) :args (@t146)) % 0.39/0.62 (step @p782 :rule trans :premises (@p781 @p780)) % 0.39/0.62 (step @p783 :rule nary_cong :premises (@p68 @p278 @p782 @p68 @p779) :args (@t247)) % 0.39/0.62 (step @p784 :rule trans :premises (@p783 @p778)) % 0.39/0.62 (step @p439 :rule arith_poly_norm :args (@t190)) % 0.39/0.62 (step @p440 :rule evaluate :args (@t2)) % 0.39/0.62 (step @p329 :rule arith_poly_norm :args (@t149)) % 0.39/0.62 (step @p441 :rule cong :premises (@p329) :args (@t150)) % 0.39/0.62 (step @p442 :rule trans :premises (@p441 @p440)) % 0.39/0.62 (step @p332 :rule arith_poly_norm :args (@t152)) % 0.39/0.62 (step @p336 :rule arith_poly_norm :args (@t157)) % 0.39/0.62 (step @p443 :rule cong :premises (@p336) :args (@t158)) % 0.39/0.62 (step @p444 :rule trans :premises (@p443 @p440)) % 0.39/0.62 (step @p445 :rule refl :args (@t29)) % 0.39/0.62 (step @p446 :rule refl :args (@t71)) % 0.39/0.62 (step @p447 :rule nary_cong :premises (@p446 @p445 @p444 @p332 @p442) :args (@t191)) % 0.39/0.62 (step @p448 :rule trans :premises (@p447 @p439)) % 0.39/0.62 (step @p785 :rule arith_poly_norm :args ((= @t248 @t191))) % 0.39/0.62 (step @p786 :rule trans :premises (@p785 @p448)) % 0.39/0.62 (step @p787 :rule cong :premises (@p786 @p784) :args (@t249)) % 0.39/0.62 (step @p788 :rule trans :premises (@p787 @p66)) % 0.39/0.62 (step @p789 :rule cong :premises (@p788) :args ((not @t249))) % 0.39/0.62 (step @p790 :rule trans :premises (@p789 @p65)) % 0.39/0.62 (step @p791 :rule arith-elim-lt :args (@t248 @t247)) % 0.39/0.62 (step @p792 :rule trans :premises (@p791 @p790)) % 0.39/0.62 (step @p793 :rule evaluate :args (@t202)) % 0.39/0.62 (step @p794 :rule refl :args (@t196)) % 0.39/0.62 (step @p795 :rule cong :premises (@p794 @p793) :args (@t203)) % 0.39/0.62 (step @p479 :rule arith_poly_norm :args (@t204)) % 0.39/0.62 (step @p796 :rule arith_poly_norm_rel :premises (@p479) :args (@t205)) % 0.39/0.62 (step @p797 :rule trans :premises (@p796 @p795)) % 0.39/0.62 (step @p489 :rule arith-elim-lt :args (@t22 0)) % 0.39/0.62 (step @p490 :rule symm :premises (@p489)) % 0.39/0.62 (step @p798 :rule eq_resolve :premises (@p957 @p490)) % 0.39/0.62 (step @p799 :rule int_tight_ub :premises (@p798)) % 0.39/0.62 (step @p800 :rule eq_resolve :premises (@p799 @p797)) % 0.39/0.62 (step @p460 :rule arith_mult_neg :args (-1/1 @t199)) % 0.39/0.62 (step @p461 :rule arith_poly_norm :args (@t200)) % 0.39/0.62 (step @p462 :rule arith_poly_norm_rel :premises (@p461) :args (@t201)) % 0.39/0.62 (step @p463 :rule symm :premises (@p462)) % 0.39/0.62 (step @p464 :rule eq_resolve :premises (@p402 @p463)) % 0.39/0.62 (step @p79 :rule evaluate :args (@t52)) % 0.39/0.62 (step @p80 :rule true_elim :premises (@p79)) % 0.39/0.62 (step @p465 :rule and_intro :premises (@p80 @p464)) % 0.39/0.62 (step @p466 :rule modus_ponens :premises (@p465 @p460)) % 0.39/0.62 (step @p801 :rule arith_mult_neg :args (-1 @t236)) % 0.39/0.62 (step @p668 :rule arith_poly_norm :args (@t235)) % 0.39/0.62 (step @p669 :rule arith_poly_norm_rel :premises (@p668) :args (@t237)) % 0.39/0.62 (step @p670 :rule symm :premises (@p669)) % 0.39/0.62 (step @p802 :rule eq_resolve :premises (@p955 @p670)) % 0.39/0.62 (step @p360 :rule evaluate :args (@t170)) % 0.39/0.62 (step @p361 :rule true_elim :premises (@p360)) % 0.39/0.62 (step @p803 :rule and_intro :premises (@p361 @p802)) % 0.39/0.62 (step @p804 :rule modus_ponens :premises (@p803 @p801)) % 0.39/0.62 (step @p805 :rule cong :premises (@p804) :args (@t195)) % 0.39/0.62 (step @p473 :rule arith-elim-lt :args (@t133 1/1)) % 0.39/0.62 (step @p474 :rule symm :premises (@p473)) % 0.39/0.62 (step @p475 :rule eq_resolve :premises (@p403 @p474)) % 0.39/0.62 (step @p457 :rule arith_mult_neg :args (-1/1 @t104)) % 0.39/0.62 (step @p806 :rule and_intro :premises (@p80 @p958)) % 0.39/0.62 (step @p807 :rule modus_ponens :premises (@p806 @p457)) % 0.39/0.62 (step @p808 :rule arith_sum_ub :premises (@p807 @p475 @p805 @p466 @p800)) % 0.39/0.62 (step @p809 false :rule eq_resolve :premises (@p808 @p792)) % 0.39/0.62 (step-pop @p959 :rule scope :premises (@p809)) % 0.39/0.62 (step-pop @p960 :rule scope :premises (@p959)) % 0.39/0.62 (step-pop @p961 :rule scope :premises (@p960)) % 0.39/0.62 (step-pop @p962 :rule scope :premises (@p961)) % 0.39/0.62 (step-pop @p963 :rule scope :premises (@p962)) % 0.39/0.62 (step @p810 :rule process_scope :premises (@p963) :args (false)) % 0.39/0.62 (step @p816 :rule not_and :premises (@p810)) % 0.39/0.62 (step @p817 :rule eq_resolve :premises (@p816 @p772)) % 0.39/0.62 (step @p818 :rule chain_m_resolution :premises (@p817 @p403 @p651 @p402 @p770) :args (@t105 (@list true false false true) (@list @t179 @t230 @t177 @t178))) % 0.39/0.62 (step @p819 :rule refl :args (@t250)) % 0.39/0.62 (step @p820 :rule nary_cong :premises (@p819 @p253 @p642) :args ((or @t250 @t109 @t228))) % 0.39/0.62 (step @p821 :rule cnf_and_neg :args (@t250)) % 0.39/0.62 (step @p822 :rule eq_resolve :premises (@p821 @p820)) % 0.39/0.62 (step @p823 :rule reordering :premises (@p822) :args ((or @t228 @t104 @t250))) % 0.39/0.62 (step @p824 :rule chain_m_resolution :premises (@p823 @p641 @p818) :args (@t250 @t229 (@list @t68 @t104))) % 0.39/0.62 (step @p825 :rule nary_cong :premises (@p238 @p171) :args (@t251)) % 0.39/0.62 (step @p826 :rule cong :premises (@p825 @p58) :args ((=> @t251 @t43))) % 0.39/0.62 (step @p827 :rule refl :args (@t43)) % 0.39/0.62 (step @p828 :rule arith_poly_norm_rel :premises (@p29) :args (@t79)) % 0.39/0.62 (step @p829 :rule refl :args (@t98)) % 0.39/0.62 (step @p830 :rule nary_cong :premises (@p829 @p828) :args (@t252)) % 0.39/0.62 (step @p831 :rule cong :premises (@p830 @p827) :args ((=> @t252 @t43))) % 0.39/0.62 (step @p832 :rule arith_mult_sign :args (@t252 @t30)) % 0.39/0.62 (step @p833 :rule eq_resolve :premises (@p832 @p831)) % 0.39/0.62 (step @p834 :rule eq_resolve :premises (@p833 @p826)) % 0.39/0.62 (step @p835 :rule implies_elim :premises (@p834)) % 0.39/0.62 (step @p836 :rule reordering :premises (@p835) :args ((or @t42 (not @t250)))) % 0.39/0.62 (step @p837 false :rule chain_m_resolution :premises (@p836 @p824 @p102) :args (false (@list false false) (@list @t250 @t40))) % 0.39/0.62 ) % 0.39/0.62 % SZS output end Proof % 0.39/0.62 % cvc5 exiting %------------------------------------------------------------------------------