%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC474_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 : n028.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 08:59:19 AM UTC 2026 % Result : Theorem 0.86s 1.10s % Output : Proof 0.86s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC474_1 : TPTP v9.2.1. Released v9.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 19:50:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 0.86/1.10 --- Run --finite-model-find --decision=internal at 45... % 0.86/1.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.86/1.10 % SZS status Theorem % 0.86/1.10 % SZS output start Proof % 0.86/1.10 ( % 0.86/1.10 (declare-const tptp.fast (-> Int Int)) % 0.86/1.10 (declare-const tptp.v1 (-> Int Int)) % 0.86/1.10 (declare-const tptp.u1 (-> Int Int Int)) % 0.86/1.10 (declare-const tptp.h1 (-> Int Int)) % 0.86/1.10 (declare-const tptp.g1 Int) % 0.86/1.10 (declare-const tptp.f1 (-> Int Int)) % 0.86/1.10 (declare-const tptp.small (-> Int Int)) % 0.86/1.10 (declare-const tptp.v0 (-> Int Int)) % 0.86/1.10 (declare-const tptp.u0 (-> Int Int Int)) % 0.86/1.10 (declare-const tptp.h0 (-> Int Int)) % 0.86/1.10 (declare-const tptp.g0 Int) % 0.86/1.10 (declare-const tptp.f0 (-> Int Int)) % 0.86/1.10 (define @t1 () (@var "X" Int)) % 0.86/1.10 (define @t2 () (* @t1 @t1)) % 0.86/1.10 (define @t3 () (* @t2 @t1)) % 0.86/1.10 (define @t4 () (tptp.f0 @t1)) % 0.86/1.10 (define @t5 () (= @t4 @t3)) % 0.86/1.10 (define @t6 () (@list @t1)) % 0.86/1.10 (define @t7 () (forall @t6 @t5)) % 0.86/1.10 (define @t8 () (= tptp.g0 2)) % 0.86/1.10 (define @t9 () (tptp.h0 @t1)) % 0.86/1.10 (define @t10 () (= @t9 @t1)) % 0.86/1.10 (define @t11 () (forall @t6 @t10)) % 0.86/1.10 (define @t12 () (@var "Y" Int)) % 0.86/1.10 (define @t13 () (- @t1 1)) % 0.86/1.10 (define @t14 () (tptp.u0 @t13 @t12)) % 0.86/1.10 (define @t15 () (tptp.f0 @t14)) % 0.86/1.10 (define @t16 () (tptp.u0 @t1 @t12)) % 0.86/1.10 (define @t17 () (= @t16 @t15)) % 0.86/1.10 (define @t18 () (<= @t1 0)) % 0.86/1.10 (define @t19 () (not @t18)) % 0.86/1.10 (define @t20 () (=> @t19 @t17)) % 0.86/1.10 (define @t21 () (= @t16 @t12)) % 0.86/1.10 (define @t22 () (=> @t18 @t21)) % 0.86/1.10 (define @t23 () (and @t22 @t20)) % 0.86/1.10 (define @t24 () (@list @t1 @t12)) % 0.86/1.10 (define @t25 () (forall @t24 @t23)) % 0.86/1.10 (define @t26 () (tptp.v0 @t1)) % 0.86/1.10 (define @t27 () (* @t26 @t1)) % 0.86/1.10 (define @t28 () (+ @t27 @t1)) % 0.86/1.10 (define @t29 () (tptp.small @t1)) % 0.86/1.10 (define @t30 () (= @t29 @t28)) % 0.86/1.10 (define @t31 () (forall @t6 @t30)) % 0.86/1.10 (define @t32 () (tptp.f1 @t1)) % 0.86/1.10 (define @t33 () (= @t32 @t3)) % 0.86/1.10 (define @t34 () (forall @t6 @t33)) % 0.86/1.10 (define @t35 () (= tptp.g1 1)) % 0.86/1.10 (define @t36 () (tptp.h1 @t1)) % 0.86/1.10 (define @t37 () (= @t36 @t3)) % 0.86/1.10 (define @t38 () (forall @t6 @t37)) % 0.86/1.10 (define @t39 () (tptp.u1 @t13 @t12)) % 0.86/1.10 (define @t40 () (tptp.f1 @t39)) % 0.86/1.10 (define @t41 () (tptp.u1 @t1 @t12)) % 0.86/1.10 (define @t42 () (= @t41 @t40)) % 0.86/1.10 (define @t43 () (=> @t19 @t42)) % 0.86/1.10 (define @t44 () (= @t41 @t12)) % 0.86/1.10 (define @t45 () (=> @t18 @t44)) % 0.86/1.10 (define @t46 () (and @t45 @t43)) % 0.86/1.10 (define @t47 () (forall @t24 @t46)) % 0.86/1.10 (define @t48 () (tptp.v1 @t1)) % 0.86/1.10 (define @t49 () (* @t48 @t1)) % 0.86/1.10 (define @t50 () (+ @t49 @t1)) % 0.86/1.10 (define @t51 () (tptp.fast @t1)) % 0.86/1.10 (define @t52 () (= @t51 @t50)) % 0.86/1.10 (define @t53 () (forall @t6 @t52)) % 0.86/1.10 (define @t54 () (@var "C" Int)) % 0.86/1.10 (define @t55 () (= (tptp.small @t54) (tptp.fast @t54))) % 0.86/1.10 (define @t56 () (not @t55)) % 0.86/1.10 (define @t57 () (>= @t54 0)) % 0.86/1.10 (define @t58 () (and @t57 @t56)) % 0.86/1.10 (define @t59 () (@list @t54)) % 0.86/1.10 (define @t60 () (exists @t59 @t58)) % 0.86/1.10 (define @t61 () (* @t1 @t26)) % 0.86/1.10 (define @t62 () (+ @t29 (* -1 @t61))) % 0.86/1.10 (define @t63 () (+ @t1 @t61)) % 0.86/1.10 (define @t64 () (not @t57)) % 0.86/1.10 (define @t65 () (@quantifiers_skolemize (forall @t59 (or @t64 @t55)) 0)) % 0.86/1.10 (define @t66 () (@list @t65)) % 0.86/1.10 (define @t67 () (* @t1 @t48)) % 0.86/1.10 (define @t68 () (+ @t51 (* -1 @t67))) % 0.86/1.10 (define @t69 () (+ @t1 @t67)) % 0.86/1.10 (define @t70 () (+ -1 @t1)) % 0.86/1.10 (define @t71 () (= @t41 (tptp.f1 (tptp.u1 @t70 @t12)))) % 0.86/1.10 (define @t72 () (>= @t1 1)) % 0.86/1.10 (define @t73 () (not @t72)) % 0.86/1.10 (define @t74 () (or @t73 @t71)) % 0.86/1.10 (define @t75 () (forall @t24 @t74)) % 0.86/1.10 (define @t76 () (@list @t1 @t12)) % 0.86/1.10 (define @t77 () (= @t12 @t41)) % 0.86/1.10 (define @t78 () (or @t72 @t77)) % 0.86/1.10 (define @t79 () (forall @t24 @t78)) % 0.86/1.10 (define @t80 () (@var "BOUND_VARIABLE_7583" Int)) % 0.86/1.10 (define @t81 () (@var "BOUND_VARIABLE_7581" Int)) % 0.86/1.10 (define @t82 () (and @t79 @t75)) % 0.86/1.10 (define @t83 () (not @t73)) % 0.86/1.10 (define @t84 () (and (=> @t73 @t77) (=> @t72 @t71))) % 0.86/1.10 (define @t85 () (* -1 1)) % 0.86/1.10 (define @t86 () (+ @t1 @t85)) % 0.86/1.10 (define @t87 () (+ 0 1)) % 0.86/1.10 (define @t88 () (>= @t1 @t87)) % 0.86/1.10 (define @t89 () (tptp.h1 @t65)) % 0.86/1.10 (define @t90 () (+ -2 tptp.g1)) % 0.86/1.10 (define @t91 () (tptp.u1 @t90 @t89)) % 0.86/1.10 (define @t92 () (= @t89 @t91)) % 0.86/1.10 (define @t93 () (>= tptp.g1 3)) % 0.86/1.10 (define @t94 () (>= @t90 1)) % 0.86/1.10 (define @t95 () (or @t94 @t92)) % 0.86/1.10 (define @t96 () (forall (@list @t81 @t80) (or (>= @t81 1) (= @t80 (tptp.u1 @t81 @t80))))) % 0.86/1.10 (define @t97 () (or @t93 @t92)) % 0.86/1.10 (define @t98 () (@list false)) % 0.86/1.10 (define @t99 () (@list @t96)) % 0.86/1.10 (define @t100 () (<= 0 -2)) % 0.86/1.10 (define @t101 () (* -1 3)) % 0.86/1.10 (define @t102 () (+ @t101 1)) % 0.86/1.10 (define @t103 () (* -1 tptp.g1)) % 0.86/1.10 (define @t104 () (+ @t103 tptp.g1)) % 0.86/1.10 (define @t105 () (= @t104 0)) % 0.86/1.10 (define @t106 () (< -1 0)) % 0.86/1.10 (define @t107 () (and @t93 @t35)) % 0.86/1.10 (define @t108 () (@list @t35)) % 0.86/1.10 (define @t109 () (@list true false)) % 0.86/1.10 (define @t110 () (= @t16 (tptp.f0 (tptp.u0 @t70 @t12)))) % 0.86/1.10 (define @t111 () (or @t73 @t110)) % 0.86/1.10 (define @t112 () (forall @t24 @t111)) % 0.86/1.10 (define @t113 () (@var "BOUND_VARIABLE_7533" Int)) % 0.86/1.10 (define @t114 () (@var "BOUND_VARIABLE_7531" Int)) % 0.86/1.10 (define @t115 () (= @t12 @t16)) % 0.86/1.10 (define @t116 () (or @t72 @t115)) % 0.86/1.10 (define @t117 () (forall @t24 @t116)) % 0.86/1.10 (define @t118 () (@var "BOUND_VARIABLE_7523" Int)) % 0.86/1.10 (define @t119 () (@var "BOUND_VARIABLE_7521" Int)) % 0.86/1.10 (define @t120 () (and @t117 @t112)) % 0.86/1.10 (define @t121 () (and (=> @t73 @t115) (=> @t72 @t110))) % 0.86/1.10 (define @t122 () (tptp.h0 @t65)) % 0.86/1.10 (define @t123 () (+ -2 tptp.g0)) % 0.86/1.10 (define @t124 () (tptp.u0 @t123 @t122)) % 0.86/1.10 (define @t125 () (= @t122 @t124)) % 0.86/1.10 (define @t126 () (>= tptp.g0 3)) % 0.86/1.10 (define @t127 () (>= @t123 1)) % 0.86/1.10 (define @t128 () (or @t127 @t125)) % 0.86/1.10 (define @t129 () (forall (@list @t119 @t118) (or (>= @t119 1) (= @t118 (tptp.u0 @t119 @t118))))) % 0.86/1.10 (define @t130 () (or @t126 @t125)) % 0.86/1.10 (define @t131 () (<= 0 -1)) % 0.86/1.10 (define @t132 () (+ @t101 2)) % 0.86/1.10 (define @t133 () (* -1 tptp.g0)) % 0.86/1.10 (define @t134 () (+ @t133 tptp.g0)) % 0.86/1.10 (define @t135 () (and @t126 @t8)) % 0.86/1.10 (define @t136 () (@list @t8)) % 0.86/1.10 (define @t137 () (* @t1 @t1)) % 0.86/1.10 (define @t138 () (+ -1 tptp.g1)) % 0.86/1.10 (define @t139 () (tptp.u1 @t138 @t89)) % 0.86/1.10 (define @t140 () (= @t89 @t139)) % 0.86/1.10 (define @t141 () (>= tptp.g1 2)) % 0.86/1.10 (define @t142 () (>= @t138 1)) % 0.86/1.10 (define @t143 () (or @t142 @t140)) % 0.86/1.10 (define @t144 () (or @t141 @t140)) % 0.86/1.10 (define @t145 () (* -1 2)) % 0.86/1.10 (define @t146 () (+ @t145 1)) % 0.86/1.10 (define @t147 () (and @t141 @t35)) % 0.86/1.10 (define @t148 () (+ tptp.g0 -2)) % 0.86/1.10 (define @t149 () (+ -1 tptp.g0)) % 0.86/1.10 (define @t150 () (+ -1 @t149)) % 0.86/1.10 (define @t151 () (tptp.u0 @t150 @t122)) % 0.86/1.10 (define @t152 () (tptp.f0 @t151)) % 0.86/1.10 (define @t153 () (tptp.u0 @t149 @t122)) % 0.86/1.10 (define @t154 () (= @t153 @t152)) % 0.86/1.10 (define @t155 () (>= tptp.g0 2)) % 0.86/1.10 (define @t156 () (>= @t149 1)) % 0.86/1.10 (define @t157 () (not @t156)) % 0.86/1.10 (define @t158 () (or @t157 @t154)) % 0.86/1.10 (define @t159 () (forall (@list @t114 @t113) (or (not (>= @t114 1)) (= (tptp.u0 @t114 @t113) (tptp.f0 (tptp.u0 (+ -1 @t114) @t113)))))) % 0.86/1.10 (define @t160 () (tptp.f0 @t124)) % 0.86/1.10 (define @t161 () (= @t153 @t160)) % 0.86/1.10 (define @t162 () (not @t155)) % 0.86/1.10 (define @t163 () (or @t162 @t161)) % 0.86/1.10 (define @t164 () (not @t8)) % 0.86/1.10 (define @t165 () (+ 1 1)) % 0.86/1.10 (define @t166 () (>= tptp.g0 @t165)) % 0.86/1.10 (define @t167 () (<= tptp.g0 1)) % 0.86/1.10 (define @t168 () (+ 1 @t145)) % 0.86/1.10 (define @t169 () (+ tptp.g0 @t133)) % 0.86/1.10 (define @t170 () (= @t169 0)) % 0.86/1.10 (define @t171 () (and @t162 @t8)) % 0.86/1.10 (define @t172 () (@list false false)) % 0.86/1.10 (define @t173 () (>= tptp.g1 1)) % 0.86/1.10 (define @t174 () (not @t35)) % 0.86/1.10 (define @t175 () (not @t173)) % 0.86/1.10 (define @t176 () (>= tptp.g1 @t87)) % 0.86/1.10 (define @t177 () (<= tptp.g1 0)) % 0.86/1.10 (define @t178 () (+ 0 @t85)) % 0.86/1.10 (define @t179 () (+ tptp.g1 @t103)) % 0.86/1.10 (define @t180 () (and @t175 @t35)) % 0.86/1.10 (define @t181 () (tptp.f1 @t139)) % 0.86/1.10 (define @t182 () (tptp.u1 tptp.g1 @t89)) % 0.86/1.10 (define @t183 () (= @t182 @t181)) % 0.86/1.10 (define @t184 () (or @t175 @t183)) % 0.86/1.10 (define @t185 () (>= tptp.g0 1)) % 0.86/1.10 (define @t186 () (not @t185)) % 0.86/1.10 (define @t187 () (>= tptp.g0 @t87)) % 0.86/1.10 (define @t188 () (<= tptp.g0 0)) % 0.86/1.10 (define @t189 () (+ 0 @t145)) % 0.86/1.10 (define @t190 () (and @t186 @t8)) % 0.86/1.10 (define @t191 () (tptp.f0 @t153)) % 0.86/1.10 (define @t192 () (tptp.u0 tptp.g0 @t122)) % 0.86/1.10 (define @t193 () (= @t192 @t191)) % 0.86/1.10 (define @t194 () (or @t186 @t193)) % 0.86/1.10 (define @t195 () (tptp.v1 @t65)) % 0.86/1.10 (define @t196 () (* @t65 @t195)) % 0.86/1.10 (define @t197 () (tptp.v0 @t65)) % 0.86/1.10 (define @t198 () (* @t65 @t197)) % 0.86/1.10 (define @t199 () (= @t198 @t196)) % 0.86/1.10 (define @t200 () (not @t92)) % 0.86/1.10 (define @t201 () (not @t125)) % 0.86/1.10 (define @t202 () (* @t124 @t124 @t124)) % 0.86/1.10 (define @t203 () (= @t160 @t202)) % 0.86/1.10 (define @t204 () (not @t203)) % 0.86/1.10 (define @t205 () (not @t140)) % 0.86/1.10 (define @t206 () (* @t139 @t139 @t139)) % 0.86/1.10 (define @t207 () (= @t181 @t206)) % 0.86/1.10 (define @t208 () (not @t207)) % 0.86/1.10 (define @t209 () (not @t161)) % 0.86/1.10 (define @t210 () (* @t153 @t153 @t153)) % 0.86/1.10 (define @t211 () (= @t191 @t210)) % 0.86/1.10 (define @t212 () (not @t211)) % 0.86/1.10 (define @t213 () (not @t183)) % 0.86/1.10 (define @t214 () (= @t89 (* @t65 @t65 @t65))) % 0.86/1.10 (define @t215 () (not @t214)) % 0.86/1.10 (define @t216 () (not @t193)) % 0.86/1.10 (define @t217 () (= @t65 @t122)) % 0.86/1.10 (define @t218 () (not @t217)) % 0.86/1.10 (define @t219 () (= @t195 @t182)) % 0.86/1.10 (define @t220 () (not @t219)) % 0.86/1.10 (define @t221 () (= @t197 @t192)) % 0.86/1.10 (define @t222 () (not @t221)) % 0.86/1.10 (define @t223 () (not @t199)) % 0.86/1.10 (define @t224 () (and @t223 @t219 @t183 @t207 @t140 @t214 @t217 @t125 @t203 @t161 @t92 @t211 @t193 @t221)) % 0.86/1.10 (define @t225 () (= true false)) % 0.86/1.10 (define @t226 () (* (* @t139 @t139) @t139)) % 0.86/1.10 (define @t227 () (* @t153 @t153)) % 0.86/1.10 (define @t228 () (* @t227 @t153)) % 0.86/1.10 (define @t229 () (tptp.fast @t65)) % 0.86/1.10 (define @t230 () (* -1 @t229)) % 0.86/1.10 (define @t231 () (tptp.small @t65)) % 0.86/1.10 (define @t232 () (+ @t231 @t230)) % 0.86/1.10 (define @t233 () (>= @t232 0)) % 0.86/1.10 (define @t234 () (* -1 @t196)) % 0.86/1.10 (define @t235 () (+ @t229 @t234)) % 0.86/1.10 (define @t236 () (= @t65 @t235)) % 0.86/1.10 (define @t237 () (not @t236)) % 0.86/1.10 (define @t238 () (+ @t231 (* -1 @t198))) % 0.86/1.10 (define @t239 () (= @t65 @t238)) % 0.86/1.10 (define @t240 () (not @t239)) % 0.86/1.10 (define @t241 () (not @t233)) % 0.86/1.10 (define @t242 () (* -1 0)) % 0.86/1.10 (define @t243 () (+ 0 0 @t242 @t242)) % 0.86/1.10 (define @t244 () (* -1 @t231)) % 0.86/1.10 (define @t245 () (* 0 @t65)) % 0.86/1.10 (define @t246 () (= @t245 0)) % 0.86/1.10 (define @t247 () (* 0 @t229)) % 0.86/1.10 (define @t248 () (= @t247 0)) % 0.86/1.10 (define @t249 () (* 0 @t198)) % 0.86/1.10 (define @t250 () (= @t249 0)) % 0.86/1.10 (define @t251 () (+ @t196 @t234 @t249 @t244 @t247 @t231 @t245)) % 0.86/1.10 (define @t252 () (+ @t198 @t234)) % 0.86/1.10 (define @t253 () (+ @t65 @t230 @t196)) % 0.86/1.10 (define @t254 () (+ @t65 @t244 @t198)) % 0.86/1.10 (define @t255 () (+ @t232 @t254 (* -1 @t253) (* -1 @t252))) % 0.86/1.10 (define @t256 () (>= @t255 @t243)) % 0.86/1.10 (define @t257 () (= @t252 0)) % 0.86/1.10 (define @t258 () (= (* -1 (- @t252 0)) (* -1 (- @t198 @t196)))) % 0.86/1.10 (define @t259 () (= @t257 @t199)) % 0.86/1.10 (define @t260 () (= @t253 0)) % 0.86/1.10 (define @t261 () (= (* 1 (- @t253 0)) (* 1 (- @t65 @t235)))) % 0.86/1.10 (define @t262 () (= @t260 @t236)) % 0.86/1.10 (define @t263 () (= (* 1 (- @t254 0)) (* 1 (- @t65 @t238)))) % 0.86/1.10 (define @t264 () (= @t254 0)) % 0.86/1.10 (define @t265 () (= @t264 @t239)) % 0.86/1.10 (define @t266 () (forall @t59 (not @t58))) % 0.86/1.10 (define @t267 () (not @t266)) % 0.86/1.10 (define @t268 () (= @t231 @t229)) % 0.86/1.10 (define @t269 () (or (not (>= @t65 0)) @t268)) % 0.86/1.10 (define @t270 () (not @t268)) % 0.86/1.10 (define @t271 () (>= @t232 1)) % 0.86/1.10 (define @t272 () (= @t232 0)) % 0.86/1.10 (define @t273 () (and @t270 @t233)) % 0.86/1.10 (define @t274 () (+ @t85 @t242 0 0)) % 0.86/1.10 (define @t275 () (+ @t234 @t196 @t249 @t231 @t247 @t244 @t245)) % 0.86/1.10 (define @t276 () (+ (* -1 @t232) (* -1 @t254) @t253 @t252)) % 0.86/1.10 (define @t277 () (and @t199 @t236 @t239 @t271)) % 0.86/1.10 (assume @p1 @t7) % 0.86/1.10 (assume @p2 @t8) % 0.86/1.10 (assume @p3 @t11) % 0.86/1.10 (assume @p4 @t25) % 0.86/1.10 (assume @p5 (forall @t6 (= @t26 (tptp.u0 tptp.g0 @t9)))) % 0.86/1.10 (assume @p6 @t31) % 0.86/1.10 (assume @p7 @t34) % 0.86/1.10 (assume @p8 @t35) % 0.86/1.10 (assume @p9 @t38) % 0.86/1.10 (assume @p10 @t47) % 0.86/1.10 (assume @p11 (forall @t6 (= @t48 (tptp.u1 tptp.g1 @t36)))) % 0.86/1.10 (assume @p12 @t53) % 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1)) % 0.86/1.10 (step @p703 :rule chain_m_resolution :premises (@p702 @p701) :args (@t270 (@list true) (@list @t269))) % 0.86/1.10 (step @p704 :rule refl :args (@t271)) % 0.86/1.10 (step @p705 :rule refl :args (@t241)) % 0.86/1.10 (step @p706 :rule bool-double-not-elim :args (@t268)) % 0.86/1.10 (step @p707 :rule nary_cong :premises (@p706 @p705 @p704) :args ((or (not @t270) @t241 @t271))) % 0.86/1.10 (assume-push @p915 @t270) % 0.86/1.10 (assume-push @p916 @t233) % 0.86/1.10 (assume-push @p917 @t270) % 0.86/1.10 (assume-push @p918 @t233) % 0.86/1.10 (step @p712 :rule arith_poly_norm :args ((= (* 1 (- @t232 0)) (* 1 (- @t231 @t229))))) % 0.86/1.10 (step @p713 :rule arith_poly_norm_rel :premises (@p712) :args ((= @t272 @t268))) % 0.86/1.10 (step @p714 :rule cong :premises (@p713) :args ((not @t272))) % 0.86/1.10 (step @p715 :rule symm :premises (@p714)) % 0.86/1.10 (step @p716 :rule eq_resolve :premises (@p703 @p715)) % 0.86/1.10 (step @p717 :rule arith_trichotomy :premises (@p716 @p916)) % 0.86/1.10 (step @p718 :rule int_tight_lb :premises (@p717)) % 0.86/1.10 (step-pop @p919 :rule scope :premises (@p718)) % 0.86/1.10 (step-pop @p920 :rule scope :premises (@p919)) % 0.86/1.10 (step @p719 :rule process_scope :premises (@p920) :args (@t271)) % 0.86/1.10 (step @p722 :rule and_intro :premises (@p703 @p916)) % 0.86/1.10 (step @p723 :rule modus_ponens :premises (@p722 @p719)) % 0.86/1.10 (step-pop @p921 :rule scope :premises (@p723)) % 0.86/1.10 (step-pop @p922 :rule scope :premises (@p921)) % 0.86/1.10 (step @p724 :rule process_scope :premises (@p922) :args (@t271)) % 0.86/1.10 (step @p727 :rule implies_elim :premises (@p724)) % 0.86/1.10 (step @p728 :rule cnf_and_neg :args (@t273)) % 0.86/1.10 (step @p729 :rule resolution :premises (@p728 @p727) :args (true @t273)) % 0.86/1.10 (step @p730 :rule eq_resolve :premises (@p729 @p707)) % 0.86/1.10 (step @p731 :rule reordering :premises (@p730) :args ((or @t268 @t271 @t241))) % 0.86/1.10 (step @p732 :rule chain_m_resolution :premises (@p731 @p703 @p688) :args (@t271 @t109 (@list @t268 @t233))) % 0.86/1.10 (assume-push @p923 @t199) % 0.86/1.10 (assume-push @p924 @t236) % 0.86/1.10 (assume-push @p925 @t239) % 0.86/1.10 (assume-push @p926 @t271) % 0.86/1.10 (step @p737 :rule arith-elim-lt :args (@t232 1)) % 0.86/1.10 (step @p738 :rule symm :premises (@p737)) % 0.86/1.10 (assume-push @p927 @t271) % 0.86/1.10 (step @p191 :rule evaluate :args (@t131)) % 0.86/1.10 (step @p740 :rule evaluate :args ((+ -1 0 0 0))) % 0.86/1.10 (step @p408 :rule refl :args (0)) % 0.86/1.10 (step @p636 :rule evaluate :args (@t242)) % 0.86/1.10 (step @p741 :rule nary_cong :premises (@p56 @p636 @p408 @p408) :args (@t274)) % 0.86/1.10 (step @p742 :rule trans :premises (@p741 @p740)) % 0.86/1.10 (step @p743 :rule arith_poly_norm :args ((= (+ @t234 @t196 0 @t231 0 @t244 0) 0))) % 0.86/1.10 (step @p640 :rule arith_poly_norm :args (@t246)) % 0.86/1.10 (step @p643 :rule refl :args (@t244)) % 0.86/1.10 (step @p642 :rule arith_poly_norm :args (@t248)) % 0.86/1.10 (step @p641 :rule refl :args (@t231)) % 0.86/1.10 (step @p644 :rule arith_poly_norm :args (@t250)) % 0.86/1.10 (step @p646 :rule refl :args (@t196)) % 0.86/1.10 (step @p645 :rule refl :args (@t234)) % 0.86/1.10 (step @p744 :rule nary_cong :premises (@p645 @p646 @p644 @p641 @p642 @p643 @p640) :args (@t275)) % 0.86/1.10 (step @p745 :rule trans :premises (@p744 @p743)) % 0.86/1.10 (step @p746 :rule arith_poly_norm :args ((= @t276 @t275))) % 0.86/1.10 (step @p747 :rule trans :premises (@p746 @p745)) % 0.86/1.10 (step @p748 :rule cong :premises (@p747 @p742) :args ((<= @t276 @t274))) % 0.86/1.10 (step @p749 :rule trans :premises (@p748 @p191)) % 0.86/1.10 (step @p658 :rule arith_poly_norm :args (@t258)) % 0.86/1.10 (step @p659 :rule arith_poly_norm_rel :premises (@p658) :args (@t259)) % 0.86/1.10 (step @p660 :rule symm :premises (@p659)) % 0.86/1.10 (step @p750 :rule eq_resolve :premises (@p923 @p660)) % 0.86/1.10 (step @p665 :rule arith_poly_norm :args (@t261)) % 0.86/1.10 (step @p666 :rule arith_poly_norm_rel :premises (@p665) :args (@t262)) % 0.86/1.10 (step @p667 :rule symm :premises (@p666)) % 0.86/1.10 (step @p668 :rule eq_resolve :premises (@p39 @p667)) % 0.86/1.10 (step @p751 :rule arith_mult_neg :args (-1 @t264)) % 0.86/1.10 (step @p671 :rule arith_poly_norm :args (@t263)) % 0.86/1.10 (step @p672 :rule arith_poly_norm_rel :premises (@p671) :args (@t265)) % 0.86/1.10 (step @p673 :rule symm :premises (@p672)) % 0.86/1.10 (step @p674 :rule eq_resolve :premises (@p27 @p673)) % 0.86/1.10 (step @p116 :rule evaluate :args (@t106)) % 0.86/1.10 (step @p117 :rule true_elim :premises (@p116)) % 0.86/1.10 (step @p752 :rule and_intro :premises (@p117 @p674)) % 0.86/1.10 (step @p753 :rule modus_ponens :premises (@p752 @p751)) % 0.86/1.10 (step @p754 :rule arith_mult_neg :args (-1 @t271)) % 0.86/1.10 (step @p755 :rule and_intro :premises (@p117 @p926)) % 0.86/1.10 (step @p756 :rule modus_ponens :premises (@p755 @p754)) % 0.86/1.10 (step @p757 :rule arith_sum_ub :premises (@p756 @p753 @p668 @p750)) % 0.86/1.10 (step @p758 false :rule eq_resolve :premises (@p757 @p749)) % 0.86/1.10 (step-pop @p928 :rule scope :premises (@p758)) % 0.86/1.10 (step @p759 :rule process_scope :premises (@p928) :args (false)) % 0.86/1.10 (step @p761 :rule eq_resolve :premises (@p759 @p738)) % 0.86/1.10 (step @p762 :rule eq_resolve :premises (@p761 @p737)) % 0.86/1.10 (step @p763 false :rule contra :premises (@p926 @p762)) % 0.86/1.10 (step-pop @p929 :rule scope :premises (@p763)) % 0.86/1.10 (step-pop @p930 :rule scope :premises (@p929)) % 0.86/1.10 (step-pop @p931 :rule scope :premises (@p930)) % 0.86/1.10 (step-pop @p932 :rule scope :premises (@p931)) % 0.86/1.10 (step @p764 :rule process_scope :premises (@p932) :args (false)) % 0.86/1.10 (assume-push @p933 @t271) % 0.86/1.10 (assume-push @p934 @t239) % 0.86/1.10 (assume-push @p935 @t236) % 0.86/1.10 (assume-push @p936 @t199) % 0.86/1.10 (step @p773 :rule and_intro :premises (@p936 @p39 @p27 @p933)) % 0.86/1.10 (step-pop @p937 :rule scope :premises (@p773)) % 0.86/1.10 (step-pop @p938 :rule scope :premises (@p937)) % 0.86/1.10 (step-pop @p939 :rule scope :premises (@p938)) % 0.86/1.10 (step-pop @p940 :rule scope :premises (@p939)) % 0.86/1.10 (step @p774 :rule process_scope :premises (@p940) :args (@t277)) % 0.86/1.10 (step @p779 :rule implies_elim :premises (@p774)) % 0.86/1.10 (step @p780 :rule resolution :premises (@p779 @p764) :args (true @t277)) % 0.86/1.10 (step @p781 :rule not_and :premises (@p780)) % 0.86/1.10 (step @p782 false :rule chain_m_resolution :premises (@p781 @p732 @p623 @p39 @p27) :args (false (@list false false false false) (@list @t271 @t199 @t236 @t239))) % 0.86/1.10 ) % 0.86/1.10 % SZS output end Proof % 0.86/1.10 % cvc5 exiting %------------------------------------------------------------------------------