%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ARI638_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 : n007.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 60.46s 60.78s % Output : Proof 60.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ARI638_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 : n007.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 02:29:41 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 60.46/60.78 --- Run --finite-model-find --decision=internal at 45... % 60.46/60.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 60.46/60.78 --- Run --no-e-matching --full-saturate-quant at 45... % 60.46/60.78 % SZS status Theorem % 60.46/60.78 % SZS output start Proof % 60.46/60.78 ( % 60.46/60.78 (declare-const tptp.c Real) % 60.46/60.78 (declare-const tptp.d Real) % 60.46/60.78 (declare-const tptp.a Real) % 60.46/60.78 (declare-const tptp.b Real) % 60.46/60.78 (declare-const tptp.f (-> Real Real)) % 60.46/60.78 (define @t1 () (@var "Y" Real)) % 60.46/60.78 (define @t2 () (tptp.f @t1)) % 60.46/60.78 (define @t3 () (@var "X" Real)) % 60.46/60.78 (define @t4 () (tptp.f @t3)) % 60.46/60.78 (define @t5 () (* @t4 @t2)) % 60.46/60.78 (define @t6 () (tptp.f (+ @t3 @t1))) % 60.46/60.78 (define @t7 () (= @t6 @t5)) % 60.46/60.78 (define @t8 () (@list @t3 @t1)) % 60.46/60.78 (define @t9 () (forall @t8 @t7)) % 60.46/60.78 (define @t10 () (+ tptp.a tptp.b)) % 60.46/60.78 (define @t11 () (tptp.f @t10)) % 60.46/60.78 (define @t12 () (> @t11 2/1)) % 60.46/60.78 (define @t13 () (+ tptp.c tptp.d)) % 60.46/60.78 (define @t14 () (tptp.f @t13)) % 60.46/60.78 (define @t15 () (> @t14 2/1)) % 60.46/60.78 (define @t16 () (+ tptp.a (+ tptp.b @t13))) % 60.46/60.78 (define @t17 () (tptp.f @t16)) % 60.46/60.78 (define @t18 () (not (> @t17 4/1))) % 60.46/60.78 (define @t19 () (* @t4 @t2)) % 60.46/60.78 (define @t20 () (* 2/1 tptp.d)) % 60.46/60.78 (define @t21 () (* 2/1 tptp.c)) % 60.46/60.78 (define @t22 () (+ @t21 @t20)) % 60.46/60.78 (define @t23 () (tptp.f @t22)) % 60.46/60.78 (define @t24 () (* @t14 @t14)) % 60.46/60.78 (define @t25 () (= @t24 @t23)) % 60.46/60.78 (define @t26 () (+ @t20 @t21)) % 60.46/60.78 (define @t27 () (+ @t13 @t13)) % 60.46/60.78 (define @t28 () (tptp.f @t27)) % 60.46/60.78 (define @t29 () (= @t28 @t24)) % 60.46/60.78 (define @t30 () (forall @t8 (= @t6 @t19))) % 60.46/60.78 (define @t31 () (@list false)) % 60.46/60.78 (define @t32 () (@list @t30)) % 60.46/60.78 (define @t33 () (* @t11 @t14)) % 60.46/60.78 (define @t34 () (+ tptp.a tptp.b tptp.c tptp.d)) % 60.46/60.78 (define @t35 () (+ tptp.d tptp.c tptp.b tptp.a)) % 60.46/60.78 (define @t36 () (+ @t10 @t13)) % 60.46/60.78 (define @t37 () (tptp.f @t36)) % 60.46/60.78 (define @t38 () (= @t37 @t33)) % 60.46/60.78 (define @t39 () (tptp.f @t34)) % 60.46/60.78 (define @t40 () (= @t39 @t33)) % 60.46/60.78 (define @t41 () (* -1/1 @t14)) % 60.46/60.78 (define @t42 () (>= @t41 -2/1)) % 60.46/60.78 (define @t43 () (>= 2/1 @t14)) % 60.46/60.78 (define @t44 () (>= @t14 0/1)) % 60.46/60.78 (define @t45 () (not @t44)) % 60.46/60.78 (define @t46 () (not @t42)) % 60.46/60.78 (define @t47 () (not @t46)) % 60.46/60.78 (define @t48 () (< @t14 0/1)) % 60.46/60.78 (define @t49 () (not true)) % 60.46/60.78 (define @t50 () (>= 0/1 -2/1)) % 60.46/60.78 (define @t51 () (+ 0/1 -2/1)) % 60.46/60.78 (define @t52 () (* -1/1 2/1)) % 60.46/60.78 (define @t53 () (+ 0/1 @t52)) % 60.46/60.78 (define @t54 () (+ @t14 @t41)) % 60.46/60.78 (define @t55 () (= @t54 0/1)) % 60.46/60.78 (define @t56 () (>= @t54 @t53)) % 60.46/60.78 (define @t57 () (not @t56)) % 60.46/60.78 (define @t58 () (< -1/1 0/1)) % 60.46/60.78 (define @t59 () (and @t45 @t46)) % 60.46/60.78 (define @t60 () (@list true)) % 60.46/60.78 (define @t61 () (@list @t42)) % 60.46/60.78 (define @t62 () (= @t14 0/1)) % 60.46/60.78 (define @t63 () (not @t62)) % 60.46/60.78 (define @t64 () (and @t62 @t46)) % 60.46/60.78 (define @t65 () (>= @t41 0/1)) % 60.46/60.78 (define @t66 () (not @t65)) % 60.46/60.78 (define @t67 () (not @t63)) % 60.46/60.78 (define @t68 () (>= 0/1 @t14)) % 60.46/60.78 (define @t69 () (not @t68)) % 60.46/60.78 (define @t70 () (= (* -1/1 (- 0/1 @t14)) (* -1/1 (- @t41 0/1)))) % 60.46/60.78 (define @t71 () (= @t68 @t65)) % 60.46/60.78 (define @t72 () (and @t44 @t63 @t65)) % 60.46/60.78 (define @t73 () (@list true false)) % 60.46/60.78 (define @t74 () (and @t66 @t46)) % 60.46/60.78 (define @t75 () (not @t66)) % 60.46/60.78 (define @t76 () (@list true true)) % 60.46/60.78 (define @t77 () (* -1/2 @t24)) % 60.46/60.78 (define @t78 () (+ @t14 @t77)) % 60.46/60.78 (define @t79 () (* 2/1 @t14)) % 60.46/60.78 (define @t80 () (>= @t78 0/1)) % 60.46/60.78 (define @t81 () (* @t14 2/1)) % 60.46/60.78 (define @t82 () (* @t14 @t14)) % 60.46/60.78 (define @t83 () (<= @t82 @t81)) % 60.46/60.78 (define @t84 () (> @t14 0/1)) % 60.46/60.78 (define @t85 () (and @t84 @t46)) % 60.46/60.78 (define @t86 () (> @t82 @t81)) % 60.46/60.78 (define @t87 () (and @t84 @t15)) % 60.46/60.78 (define @t88 () (not @t80)) % 60.46/60.78 (define @t89 () (* -1/1 @t39)) % 60.46/60.78 (define @t90 () (>= @t89 -4/1)) % 60.46/60.78 (define @t91 () (<= @t17 4/1)) % 60.46/60.78 (define @t92 () (* -1/1 @t24)) % 60.46/60.78 (define @t93 () (+ @t33 @t92)) % 60.46/60.78 (define @t94 () (>= @t93 0/1)) % 60.46/60.78 (define @t95 () (not @t94)) % 60.46/60.78 (define @t96 () (not @t40)) % 60.46/60.78 (define @t97 () (not @t90)) % 60.46/60.78 (define @t98 () (not @t88)) % 60.46/60.78 (define @t99 () (>= 0/1 0/1)) % 60.46/60.78 (define @t100 () (* -1/2 0/1)) % 60.46/60.78 (define @t101 () (* 1/2 4/1)) % 60.46/60.78 (define @t102 () (+ @t52 0/1 @t101 @t100 @t100)) % 60.46/60.78 (define @t103 () (* -1/2 @t39)) % 60.46/60.78 (define @t104 () (* 1/2 @t39)) % 60.46/60.78 (define @t105 () (+ @t104 (* 1/2 @t33) @t77 (* 1/2 @t24) (* -1/2 @t33) @t41 @t103 @t14)) % 60.46/60.78 (define @t106 () (* -1/1 @t33)) % 60.46/60.78 (define @t107 () (+ @t39 @t106)) % 60.46/60.78 (define @t108 () (* -1/2 @t107)) % 60.46/60.78 (define @t109 () (+ @t41 @t78 @t104 @t108 (* -1/2 @t93))) % 60.46/60.78 (define @t110 () (>= @t109 @t102)) % 60.46/60.78 (define @t111 () (< -1/2 0/1)) % 60.46/60.78 (define @t112 () (= @t107 0/1)) % 60.46/60.78 (define @t113 () (= (* 1/1 (- @t107 0/1)) (* 1/1 (- @t39 @t33)))) % 60.46/60.78 (define @t114 () (= @t112 @t40)) % 60.46/60.78 (define @t115 () (<= @t39 4/1)) % 60.46/60.78 (define @t116 () (> 1/2 0/1)) % 60.46/60.78 (define @t117 () (and @t94 @t40 @t90 @t88 @t46)) % 60.46/60.78 (define @t118 () (@list true false true false)) % 60.46/60.78 (define @t119 () (= @t33 @t24)) % 60.46/60.78 (define @t120 () (not @t119)) % 60.46/60.78 (define @t121 () (not @t95)) % 60.46/60.78 (define @t122 () (* 1/1 (- @t93 0/1))) % 60.46/60.78 (define @t123 () (= @t93 0/1)) % 60.46/60.78 (define @t124 () (+ 0/1 0/1)) % 60.46/60.78 (define @t125 () (* -1/1 0/1)) % 60.46/60.78 (define @t126 () (+ @t125 0/1)) % 60.46/60.78 (define @t127 () (* 0/1 @t33)) % 60.46/60.78 (define @t128 () (= @t127 0/1)) % 60.46/60.78 (define @t129 () (* 0/1 @t24)) % 60.46/60.78 (define @t130 () (= @t129 0/1)) % 60.46/60.78 (define @t131 () (+ @t129 @t127)) % 60.46/60.78 (define @t132 () (+ (* -1/1 @t93) @t93)) % 60.46/60.78 (define @t133 () (= @t132 @t131)) % 60.46/60.78 (define @t134 () (>= @t132 @t126)) % 60.46/60.78 (define @t135 () (not @t134)) % 60.46/60.78 (define @t136 () (@list @t94)) % 60.46/60.78 (define @t137 () (+ @t106 @t24)) % 60.46/60.78 (define @t138 () (>= @t137 0/1)) % 60.46/60.78 (define @t139 () (* -1/1 (- @t137 0/1))) % 60.46/60.78 (define @t140 () (>= 0/1 @t93)) % 60.46/60.78 (define @t141 () (> @t93 0/1)) % 60.46/60.78 (define @t142 () (>= @t24 0/1)) % 60.46/60.78 (define @t143 () (not @t142)) % 60.46/60.78 (define @t144 () (>= 0/1 -4/1)) % 60.46/60.78 (define @t145 () (* 2/1 0/1)) % 60.46/60.78 (define @t146 () (* -2/1 2/1)) % 60.46/60.78 (define @t147 () (+ 0/1 @t146 @t145)) % 60.46/60.78 (define @t148 () (+ @t79 @t92)) % 60.46/60.78 (define @t149 () (* -2/1 @t14)) % 60.46/60.78 (define @t150 () (* 2/1 @t78)) % 60.46/60.78 (define @t151 () (+ @t24 @t149 @t150)) % 60.46/60.78 (define @t152 () (>= @t151 @t147)) % 60.46/60.78 (define @t153 () (> 2/1 0/1)) % 60.46/60.78 (define @t154 () (< -2/1 0/1)) % 60.46/60.78 (define @t155 () (+ @t106 @t92)) % 60.46/60.78 (define @t156 () (>= @t155 0/1)) % 60.46/60.78 (define @t157 () (not @t138)) % 60.46/60.78 (define @t158 () (ite @t142 @t157 (not @t156))) % 60.46/60.78 (define @t159 () (not @t158)) % 60.46/60.78 (define @t160 () (@list false false)) % 60.46/60.78 (define @t161 () (* -1/1 @t11)) % 60.46/60.78 (define @t162 () (>= @t161 -2/1)) % 60.46/60.78 (define @t163 () (>= 2/1 @t11)) % 60.46/60.78 (define @t164 () (>= @t11 0/1)) % 60.46/60.78 (define @t165 () (not @t164)) % 60.46/60.78 (define @t166 () (not @t162)) % 60.46/60.78 (define @t167 () (not @t166)) % 60.46/60.78 (define @t168 () (< @t11 0/1)) % 60.46/60.78 (define @t169 () (+ @t11 @t161)) % 60.46/60.78 (define @t170 () (= @t169 0/1)) % 60.46/60.78 (define @t171 () (>= @t169 @t53)) % 60.46/60.78 (define @t172 () (not @t171)) % 60.46/60.78 (define @t173 () (and @t165 @t166)) % 60.46/60.78 (define @t174 () (@list @t162)) % 60.46/60.78 (define @t175 () (= @t11 0/1)) % 60.46/60.78 (define @t176 () (not @t175)) % 60.46/60.78 (define @t177 () (and @t175 @t166)) % 60.46/60.78 (define @t178 () (>= @t161 0/1)) % 60.46/60.78 (define @t179 () (not @t178)) % 60.46/60.78 (define @t180 () (not @t176)) % 60.46/60.78 (define @t181 () (>= 0/1 @t11)) % 60.46/60.78 (define @t182 () (not @t181)) % 60.46/60.78 (define @t183 () (= (* -1/1 (- 0/1 @t11)) (* -1/1 (- @t161 0/1)))) % 60.46/60.78 (define @t184 () (= @t181 @t178)) % 60.46/60.78 (define @t185 () (and @t164 @t176 @t178)) % 60.46/60.78 (define @t186 () (and @t179 @t66)) % 60.46/60.78 (define @t187 () (not @t179)) % 60.46/60.78 (define @t188 () (>= @t106 0/1)) % 60.46/60.78 (define @t189 () (>= 0/1 @t33)) % 60.46/60.78 (define @t190 () (> @t11 0/1)) % 60.46/60.78 (define @t191 () (and @t190 @t84)) % 60.46/60.78 (define @t192 () (> @t33 0/1)) % 60.46/60.78 (define @t193 () (not @t188)) % 60.46/60.78 (define @t194 () (>= @t33 0/1)) % 60.46/60.78 (define @t195 () (< @t33 0/1)) % 60.46/60.78 (define @t196 () (+ 0/1 @t125)) % 60.46/60.78 (define @t197 () (+ @t33 @t106)) % 60.46/60.78 (define @t198 () (>= @t197 @t196)) % 60.46/60.78 (define @t199 () (+ @t33 @t24)) % 60.46/60.78 (define @t200 () (>= @t199 0/1)) % 60.46/60.78 (define @t201 () (ite @t194 @t158 (ite @t142 (not @t200) @t95))) % 60.46/60.78 (define @t202 () (not @t201)) % 60.46/60.78 (define @t203 () (not @t194)) % 60.46/60.78 (define @t204 () (@list false true)) % 60.46/60.78 (define @t205 () (- @t24)) % 60.46/60.78 (define @t206 () (- @t33)) % 60.46/60.78 (define @t207 () (<= @t206 @t205)) % 60.46/60.78 (define @t208 () (<= @t206 @t24)) % 60.46/60.78 (define @t209 () (ite @t142 (> @t206 @t24) (> @t206 @t205))) % 60.46/60.78 (define @t210 () (<= @t33 @t205)) % 60.46/60.78 (define @t211 () (>= @t24 @t33)) % 60.46/60.78 (define @t212 () (ite @t142 (> @t33 @t24) (> @t33 @t205))) % 60.46/60.78 (define @t213 () (ite @t194 @t212 @t209)) % 60.46/60.78 (define @t214 () (+ @t11 @t41)) % 60.46/60.78 (define @t215 () (* 1/1 (- @t214 0/1))) % 60.46/60.78 (define @t216 () (>= @t214 0/1)) % 60.46/60.78 (define @t217 () (- @t14)) % 60.46/60.78 (define @t218 () (- @t11)) % 60.46/60.78 (define @t219 () (<= @t218 @t217)) % 60.46/60.78 (define @t220 () (+ @t11 @t14)) % 60.46/60.78 (define @t221 () (* 1/1 (- @t220 0/1))) % 60.46/60.78 (define @t222 () (>= @t220 0/1)) % 60.46/60.78 (define @t223 () (<= @t218 @t14)) % 60.46/60.78 (define @t224 () (ite @t44 (> @t218 @t14) (> @t218 @t217))) % 60.46/60.78 (define @t225 () (+ @t161 @t41)) % 60.46/60.78 (define @t226 () (* -1/1 (- @t225 0/1))) % 60.46/60.78 (define @t227 () (>= @t225 0/1)) % 60.46/60.78 (define @t228 () (<= @t11 @t217)) % 60.46/60.78 (define @t229 () (+ @t161 @t14)) % 60.46/60.78 (define @t230 () (* -1/1 (- @t229 0/1))) % 60.46/60.78 (define @t231 () (>= @t229 0/1)) % 60.46/60.78 (define @t232 () (>= @t14 @t11)) % 60.46/60.78 (define @t233 () (ite @t44 (> @t11 @t14) (> @t11 @t217))) % 60.46/60.78 (define @t234 () (ite @t164 @t233 @t224)) % 60.46/60.78 (define @t235 () (and @t234 @t176 @t63)) % 60.46/60.78 (define @t236 () (not @t216)) % 60.46/60.78 (define @t237 () (not @t222)) % 60.46/60.78 (define @t238 () (not @t227)) % 60.46/60.78 (define @t239 () (not @t231)) % 60.46/60.78 (define @t240 () (ite @t44 @t239 @t238)) % 60.46/60.78 (define @t241 () (ite @t164 @t240 (ite @t44 @t237 @t236))) % 60.46/60.78 (define @t242 () (and @t241 @t176 @t63)) % 60.46/60.78 (define @t243 () (not @t242)) % 60.46/60.78 (define @t244 () (not @t241)) % 60.46/60.78 (define @t245 () (@list true true true)) % 60.46/60.78 (define @t246 () (not @t240)) % 60.46/60.78 (define @t247 () (and @t179 @t166)) % 60.46/60.78 (define @t248 () (* @t11 @t11)) % 60.46/60.78 (define @t249 () (* -1/2 @t248)) % 60.46/60.78 (define @t250 () (+ @t11 @t249)) % 60.46/60.78 (define @t251 () (* 2/1 @t11)) % 60.46/60.78 (define @t252 () (>= @t250 0/1)) % 60.46/60.78 (define @t253 () (* @t11 2/1)) % 60.46/60.78 (define @t254 () (* @t11 @t11)) % 60.46/60.78 (define @t255 () (<= @t254 @t253)) % 60.46/60.78 (define @t256 () (and @t190 @t166)) % 60.46/60.78 (define @t257 () (> @t254 @t253)) % 60.46/60.78 (define @t258 () (and @t190 @t12)) % 60.46/60.78 (define @t259 () (not @t252)) % 60.46/60.78 (define @t260 () (+ @t248 @t106)) % 60.46/60.78 (define @t261 () (>= @t260 0/1)) % 60.46/60.78 (define @t262 () (not @t261)) % 60.46/60.78 (define @t263 () (not @t259)) % 60.46/60.78 (define @t264 () (* 1/2 0/1)) % 60.46/60.78 (define @t265 () (+ @t52 @t100 0/1 @t264 @t101)) % 60.46/60.78 (define @t266 () (* 1/2 @t248)) % 60.46/60.78 (define @t267 () (+ @t104 @t127 @t249 @t161 @t266 @t103 @t11)) % 60.46/60.78 (define @t268 () (+ @t161 @t108 @t250 (* 1/2 @t260) @t104)) % 60.46/60.78 (define @t269 () (>= @t268 @t265)) % 60.46/60.78 (define @t270 () (and @t90 @t262 @t259 @t40 @t166)) % 60.46/60.78 (define @t271 () (>= @t248 0/1)) % 60.46/60.78 (define @t272 () (not @t271)) % 60.46/60.78 (define @t273 () (+ 0/1 @t145 @t146)) % 60.46/60.78 (define @t274 () (* -2/1 @t11)) % 60.46/60.78 (define @t275 () (* -1/1 @t248)) % 60.46/60.78 (define @t276 () (+ @t251 @t275)) % 60.46/60.78 (define @t277 () (* 2/1 @t250)) % 60.46/60.78 (define @t278 () (+ @t248 @t277 @t274)) % 60.46/60.78 (define @t279 () (>= @t278 @t273)) % 60.46/60.78 (define @t280 () (+ @t275 @t106)) % 60.46/60.78 (define @t281 () (>= @t280 0/1)) % 60.46/60.78 (define @t282 () (ite @t271 @t262 (not @t281))) % 60.46/60.78 (define @t283 () (not @t282)) % 60.46/60.78 (define @t284 () (+ @t275 @t33)) % 60.46/60.78 (define @t285 () (>= @t284 0/1)) % 60.46/60.78 (define @t286 () (+ @t248 @t33)) % 60.46/60.78 (define @t287 () (>= @t286 0/1)) % 60.46/60.78 (define @t288 () (ite @t194 @t282 (ite @t271 (not @t287) (not @t285)))) % 60.46/60.78 (define @t289 () (not @t288)) % 60.46/60.78 (define @t290 () (- @t248)) % 60.46/60.78 (define @t291 () (<= @t206 @t290)) % 60.46/60.78 (define @t292 () (<= @t206 @t248)) % 60.46/60.78 (define @t293 () (ite @t271 (> @t206 @t248) (> @t206 @t290))) % 60.46/60.78 (define @t294 () (<= @t33 @t290)) % 60.46/60.78 (define @t295 () (>= @t248 @t33)) % 60.46/60.78 (define @t296 () (ite @t271 (> @t33 @t248) (> @t33 @t290))) % 60.46/60.78 (define @t297 () (ite @t194 @t296 @t293)) % 60.46/60.78 (define @t298 () (<= @t217 @t218)) % 60.46/60.78 (define @t299 () (<= @t217 @t11)) % 60.46/60.78 (define @t300 () (ite @t164 (> @t217 @t11) (> @t217 @t218))) % 60.46/60.78 (define @t301 () (<= @t14 @t218)) % 60.46/60.78 (define @t302 () (* 1/1 (- @t11 @t14))) % 60.46/60.78 (define @t303 () (>= @t11 @t14)) % 60.46/60.78 (define @t304 () (ite @t164 (> @t14 @t11) (> @t14 @t218))) % 60.46/60.78 (define @t305 () (ite @t44 @t304 @t300)) % 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60.46/60.78 (step @p170 :rule eq_resolve :premises (@p169 @p168)) % 60.46/60.78 (step @p171 :rule reordering :premises (@p170) :args ((or @t42 @t65 @t74))) % 60.46/60.78 (step @p172 :rule chain_m_resolution :premises (@p171 @p53 @p165) :args (@t74 @t76 (@list @t42 @t65))) % 60.46/60.78 (step @p173 :rule arith_poly_norm :args ((= (* 1/1 (- @t79 @t24)) (* 2/1 (- @t78 0/1))))) % 60.46/60.78 (step @p174 :rule arith_poly_norm_rel :premises (@p173) :args ((= (>= @t79 @t24) @t80))) % 60.46/60.78 (step @p175 :rule arith-elim-leq :args (@t24 @t79)) % 60.46/60.78 (step @p176 :rule trans :premises (@p175 @p174)) % 60.46/60.78 (step @p177 :rule arith_poly_norm :args ((= @t81 @t79))) % 60.46/60.78 (step @p178 :rule arith_poly_norm :args ((= @t82 @t24))) % 60.46/60.78 (step @p179 :rule cong :premises (@p178 @p177) :args (@t83)) % 60.46/60.78 (step @p180 :rule trans :premises (@p179 @p176)) % 60.46/60.78 (step @p181 :rule cong :premises (@p180) :args ((not @t83))) % 60.46/60.78 (step @p182 :rule 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arith-elim-leq :args (@t14 @t161)) % 60.46/60.79 (step @p1011 :rule trans :premises (@p1010 @p1009)) % 60.46/60.79 (step @p1012 :rule cong :premises (@p696 @p682) :args (@t301)) % 60.46/60.79 (step @p1013 :rule trans :premises (@p1012 @p1011)) % 60.46/60.79 (step @p1014 :rule cong :premises (@p1013) :args ((not @t301))) % 60.46/60.79 (step @p1015 :rule arith-elim-leq :args (@t14 @t218)) % 60.46/60.79 (step @p1016 :rule symm :premises (@p1015)) % 60.46/60.79 (step @p1017 :rule cong :premises (@p1016) :args ((not (>= @t218 @t14)))) % 60.46/60.79 (step @p1018 :rule arith-elim-gt :args (@t14 @t218)) % 60.46/60.79 (step @p1019 :rule trans :premises (@p1018 @p1017)) % 60.46/60.79 (step @p1020 :rule trans :premises (@p1019 @p1014)) % 60.46/60.79 (step @p1021 :rule arith_poly_norm :args ((= @t302 @t215))) % 60.46/60.79 (step @p1022 :rule arith_poly_norm_rel :premises (@p1021) :args ((= @t303 @t216))) % 60.46/60.79 (step @p1023 :rule arith-elim-leq :args (@t14 @t11)) % 60.46/60.79 (step @p1024 :rule trans :premises (@p1023 @p1022)) % 60.46/60.79 (step @p1025 :rule cong :premises (@p1024) :args ((not (<= @t14 @t11)))) % 60.46/60.79 (step @p1026 :rule symm :premises (@p1023)) % 60.46/60.79 (step @p1027 :rule cong :premises (@p1026) :args ((not @t303))) % 60.46/60.79 (step @p1028 :rule arith-elim-gt :args (@t14 @t11)) % 60.46/60.79 (step @p1029 :rule trans :premises (@p1028 @p1027)) % 60.46/60.79 (step @p1030 :rule trans :premises (@p1029 @p1025)) % 60.46/60.79 (step @p1031 :rule cong :premises (@p733 @p1030 @p1020) :args (@t304)) % 60.46/60.79 (step @p1032 :rule cong :premises (@p706 @p1031 @p1007) :args (@t305)) % 60.46/60.79 (step @p1033 :rule nary_cong :premises (@p1032 @p105 @p493) :args (@t306)) % 60.46/60.79 (step @p1034 :rule cong :premises (@p1033 @p980) :args ((=> @t306 @t297))) % 60.46/60.79 (assume-push @p1318 @t305) % 60.46/60.79 (assume-push @p1319 @t63) % 60.46/60.79 (assume-push @p1320 @t176) % 60.46/60.79 (step @p1038 :rule arith-abs-real-gt :args (@t33 @t248)) % 60.46/60.79 (step @p1039 :rule arith_poly_norm :args ((= (* 1/1 (- @t308 @t307)) (* 1/1 (- @t309 0/1))))) % 60.46/60.79 (step @p1040 :rule arith_poly_norm_rel :premises (@p1039) :args ((= @t310 (>= @t309 0/1)))) % 60.46/60.79 (step @p1041 :rule arith-elim-leq :args (@t307 @t308)) % 60.46/60.79 (step @p1042 :rule trans :premises (@p1041 @p1040)) % 60.46/60.79 (step @p1043 :rule cong :premises (@p1042) :args ((not (<= @t307 @t308)))) % 60.46/60.79 (step @p1044 :rule symm :premises (@p1041)) % 60.46/60.79 (step @p1045 :rule cong :premises (@p1044) :args ((not @t310))) % 60.46/60.79 (step @p1046 :rule arith-elim-gt :args (@t307 @t308)) % 60.46/60.79 (step @p1047 :rule trans :premises (@p1046 @p1045)) % 60.46/60.79 (step @p1048 :rule trans :premises (@p1047 @p1043)) % 60.46/60.79 (step @p1049 :rule symm :premises (@p1048)) % 60.46/60.79 (step @p1050 :rule refl :args (@t308)) % 60.46/60.79 (step @p1051 :rule arith_poly_norm :args ((= @t311 @t33))) % 60.46/60.79 (step @p1052 :rule cong :premises (@p1051) :args (@t312)) % 60.46/60.79 (step @p1053 :rule cong :premises (@p1052 @p1050) :args (@t313)) % 60.46/60.79 (step @p1054 :rule trans :premises (@p1053 @p1042)) % 60.46/60.79 (step @p1055 :rule cong :premises (@p1054) :args ((not @t313))) % 60.46/60.79 (step @p1056 :rule arith-elim-leq :args (@t312 @t308)) % 60.46/60.79 (step @p1057 :rule symm :premises (@p1056)) % 60.46/60.79 (step @p1058 :rule cong :premises (@p1057) :args ((not (>= @t308 @t312)))) % 60.46/60.79 (step @p1059 :rule arith-elim-gt :args (@t312 @t308)) % 60.46/60.79 (step @p1060 :rule trans :premises (@p1059 @p1058)) % 60.46/60.79 (step @p1061 :rule trans :premises (@p1060 @p1055)) % 60.46/60.79 (step @p1062 :rule trans :premises (@p1061 @p1049)) % 60.46/60.79 (step @p1063 :rule refl :args ((abs @t11))) % 60.46/60.79 (step @p1064 :rule and_intro :premises (@p1063 @p1320)) % 60.46/60.79 (step @p1065 :rule arith-abs-real-gt :args (@t14 @t11)) % 60.46/60.79 (step @p1066 :rule symm :premises (@p1065)) % 60.46/60.79 (step @p1067 :rule eq_resolve :premises (@p1318 @p1066)) % 60.46/60.79 (step @p1068 :rule arith_mult_abs_comparison :premises (@p1067 @p1064)) % 60.46/60.79 (step @p1069 :rule eq_resolve :premises (@p1068 @p1062)) % 60.46/60.79 (step @p1070 :rule eq_resolve :premises (@p1069 @p1038)) % 60.46/60.79 (step-pop @p1321 :rule scope :premises (@p1070)) % 60.46/60.79 (step-pop @p1322 :rule scope :premises (@p1321)) % 60.46/60.79 (step-pop @p1323 :rule scope :premises (@p1322)) % 60.46/60.79 (step @p1071 :rule process_scope :premises (@p1323) :args (@t297)) % 60.46/60.79 (step @p1075 :rule eq_resolve :premises (@p1071 @p1034)) % 60.46/60.79 (step @p1076 :rule implies_elim :premises (@p1075)) % 60.46/60.79 (step @p1077 :rule reordering :premises (@p1076) :args ((or @t288 @t317))) % 60.46/60.79 (step @p1078 :rule chain_m_resolution :premises (@p1077 @p926) :args (@t317 @t60 (@list @t288))) % 60.46/60.79 (step @p1079 :rule refl :args (@t318)) % 60.46/60.79 (step @p1080 :rule refl :args (@t316)) % 60.46/60.79 (step @p1081 :rule nary_cong :premises (@p1080 @p1079 @p131 @p519) :args ((or @t316 @t318 @t67 @t180))) % 60.46/60.79 (step @p1082 :rule cnf_and_neg :args (@t316)) % 60.46/60.79 (step @p1083 :rule eq_resolve :premises (@p1082 @p1081)) % 60.46/60.79 (step @p1084 :rule reordering :premises (@p1083) :args ((or @t175 @t62 @t316 @t318))) % 60.46/60.79 (step @p1085 :rule chain_m_resolution :premises (@p1084 @p516 @p128 @p1078) :args (@t318 @t245 (@list @t175 @t62 @t316))) % 60.46/60.79 (step @p1086 :rule cnf_ite_neg1 :args (@t315)) % 60.46/60.79 (step @p1087 :rule reordering :premises (@p1086) :args ((or @t45 @t315 @t319))) % 60.46/60.79 (step @p1088 :rule chain_m_resolution :premises (@p1087 @p104 @p1085) :args (@t319 @t204 (@list @t44 @t315))) % 60.46/60.79 (step @p1089 :rule bool-double-not-elim :args (@t216)) % 60.46/60.79 (step @p1090 :rule refl :args (@t314)) % 60.46/60.79 (step @p1091 :rule nary_cong :premises (@p1090 @p518 @p1089) :args ((or @t314 @t165 (not @t236)))) % 60.46/60.79 (step @p1092 :rule cnf_ite_neg1 :args (@t314)) % 60.46/60.79 (step @p1093 :rule eq_resolve :premises (@p1092 @p1091)) % 60.46/60.79 (step @p1094 :rule reordering :premises (@p1093) :args ((or @t165 @t216 @t314))) % 60.46/60.79 (step @p1095 :rule chain_m_resolution :premises (@p1094 @p492 @p1088) :args (@t216 @t204 (@list @t164 @t314))) % 60.46/60.79 (step @p1096 :rule bool-double-not-elim :args (@t119)) % 60.46/60.79 (step @p1097 :rule refl :args (@t236)) % 60.46/60.79 (step @p1098 :rule refl :args (@t239)) % 60.46/60.79 (step @p1099 :rule refl :args (@t320)) % 60.46/60.79 (step @p1100 :rule nary_cong :premises (@p1099 @p225 @p1098 @p1097 @p1096) :args ((or @t320 @t96 @t239 @t236 (not @t120)))) % 60.46/60.79 (assume-push @p1324 @t25) % 60.46/60.79 (assume-push @p1325 @t216) % 60.46/60.79 (assume-push @p1326 @t231) % 60.46/60.79 (assume-push @p1327 @t40) % 60.46/60.79 (assume-push @p1328 @t322) % 60.46/60.79 (assume-push @p1329 @t25) % 60.46/60.79 (assume-push @p1330 @t216) % 60.46/60.79 (assume-push @p1331 @t231) % 60.46/60.79 (assume-push @p1332 @t40) % 60.46/60.79 (step @p1110 :rule arith_poly_norm :args ((= @t215 @t302))) % 60.46/60.79 (step @p1111 :rule arith_poly_norm_rel :premises (@p1110) :args ((= (= @t214 0/1) (= @t11 @t14)))) % 60.46/60.79 (step @p1112 :rule arith_poly_norm :args ((= (* -1/1 (- 0/1 @t214)) @t230))) % 60.46/60.79 (step @p1113 :rule arith_poly_norm_rel :premises (@p1112) :args ((= (>= 0/1 @t214) @t231))) % 60.46/60.79 (step @p1114 :rule arith-elim-leq :args (@t214 0/1)) % 60.46/60.79 (step @p1115 :rule trans :premises (@p1114 @p1113)) % 60.46/60.79 (step @p1116 :rule symm :premises (@p1115)) % 60.46/60.79 (step @p1117 :rule eq_resolve :premises (@p1326 @p1116)) % 60.46/60.79 (step @p1118 :rule arith_trichotomy :premises (@p1325 @p1117)) % 60.46/60.79 (step @p1119 :rule eq_resolve :premises (@p1118 @p1111)) % 60.46/60.79 (step @p1120 :rule nary_cong :premises (@p1119 @p1119) :args (@t248)) % 60.46/60.79 (step @p1121 :rule eq_resolve :premises (@p1118 @p1111)) % 60.46/60.79 (step @p1122 :rule symm :premises (@p1121)) % 60.46/60.79 (step @p1123 :rule nary_cong :premises (@p712 @p1122) :args (@t33)) % 60.46/60.79 (step @p1124 :rule trans :premises (@p42 @p1123 @p1120 @p28)) % 60.46/60.79 (step-pop @p1333 :rule scope :premises (@p1124)) % 60.46/60.79 (step-pop @p1334 :rule scope :premises (@p1333)) % 60.46/60.79 (step-pop @p1335 :rule scope :premises (@p1334)) % 60.46/60.79 (step-pop @p1336 :rule scope :premises (@p1335)) % 60.46/60.79 (step @p1125 :rule process_scope :premises (@p1336) :args (@t321)) % 60.46/60.79 (step @p1130 :rule and_intro :premises (@p28 @p1325 @p1326 @p42)) % 60.46/60.79 (step @p1131 :rule modus_ponens :premises (@p1130 @p1125)) % 60.46/60.79 (step @p1132 false :rule contra :premises (@p1131 @p1328)) % 60.46/60.79 (step-pop @p1337 :rule scope :premises (@p1132)) % 60.46/60.79 (step-pop @p1338 :rule scope :premises (@p1337)) % 60.46/60.79 (step-pop @p1339 :rule scope :premises (@p1338)) % 60.46/60.79 (step-pop @p1340 :rule scope :premises (@p1339)) % 60.46/60.79 (step-pop @p1341 :rule scope :premises (@p1340)) % 60.46/60.79 (step @p1133 :rule process_scope :premises (@p1341) :args (false)) % 60.46/60.79 (assume-push @p1342 @t25) % 60.46/60.79 (assume-push @p1343 @t40) % 60.46/60.79 (assume-push @p1344 @t231) % 60.46/60.79 (assume-push @p1345 @t216) % 60.46/60.79 (assume-push @p1346 @t120) % 60.46/60.79 (assume-push @p1347 @t40) % 60.46/60.79 (assume-push @p1348 @t25) % 60.46/60.79 (assume-push @p1349 @t120) % 60.46/60.79 (step @p1147 :rule false_intro :premises (@p1346)) % 60.46/60.79 (step @p1148 :rule symm :premises (@p28)) % 60.46/60.79 (step @p1149 :rule cong :premises (@p42 @p1148) :args (@t321)) % 60.46/60.79 (step @p1150 :rule trans :premises (@p1149 @p1147)) % 60.46/60.79 (step @p1151 :rule false_elim :premises (@p1150)) % 60.46/60.79 (step-pop @p1350 :rule scope :premises (@p1151)) % 60.46/60.79 (step-pop @p1351 :rule scope :premises (@p1350)) % 60.46/60.79 (step-pop @p1352 :rule scope :premises (@p1351)) % 60.46/60.79 (step @p1152 :rule process_scope :premises (@p1352) :args (@t322)) % 60.46/60.79 (step @p1156 :rule and_intro :premises (@p42 @p28 @p1346)) % 60.46/60.79 (step @p1157 :rule modus_ponens :premises (@p1156 @p1152)) % 60.46/60.79 (step @p1158 :rule and_intro :premises (@p28 @p1345 @p1344 @p42 @p1157)) % 60.46/60.79 (step-pop @p1353 :rule scope :premises (@p1158)) % 60.46/60.79 (step-pop @p1354 :rule scope :premises (@p1353)) % 60.46/60.79 (step-pop @p1355 :rule scope :premises (@p1354)) % 60.46/60.79 (step-pop @p1356 :rule scope :premises (@p1355)) % 60.46/60.79 (step-pop @p1357 :rule scope :premises (@p1356)) % 60.46/60.79 (step @p1159 :rule process_scope :premises (@p1357) :args (@t323)) % 60.46/60.79 (step @p1165 :rule implies_elim :premises (@p1159)) % 60.46/60.79 (step @p1166 :rule resolution :premises (@p1165 @p1133) :args (true @t323)) % 60.46/60.79 (step @p1167 :rule not_and :premises (@p1166)) % 60.46/60.79 (step @p1168 :rule eq_resolve :premises (@p1167 @p1100)) % 60.46/60.79 (step @p1169 false :rule chain_m_resolution :premises (@p1168 @p1095 @p772 @p351 @p42 @p28) :args (false (@list false false true false false) (@list @t216 @t231 @t119 @t40 @t25))) % 60.46/60.79 ) % 60.46/60.79 % SZS output end Proof % 60.46/60.79 % cvc5 exiting %------------------------------------------------------------------------------