%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : PUZ133_2 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 08:44:16 AM UTC 2026 % Result : Theorem 0.41s 0.66s % Output : Proof 0.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : PUZ133_2 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 13:19:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_ARI % 0.41/0.66 --- Run --finite-model-find --decision=internal at 45... % 0.41/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.41/0.66 % SZS status Theorem % 0.41/0.66 % SZS output start Proof % 0.41/0.66 ( % 0.41/0.66 (declare-const tptp.q (-> Int Int)) % 0.41/0.66 (declare-const tptp.queens_q Bool) % 0.41/0.66 (declare-const tptp.perm (-> Int Int)) % 0.41/0.66 (declare-const tptp.queens_p Bool) % 0.41/0.66 (declare-const tptp.n Int) % 0.41/0.66 (declare-const tptp.p (-> Int Int)) % 0.41/0.66 (define @t1 () (@var "J" Int)) % 0.41/0.66 (define @t2 () (tptp.p @t1)) % 0.41/0.66 (define @t3 () (- @t2 @t1)) % 0.41/0.66 (define @t4 () (@var "I" Int)) % 0.41/0.66 (define @t5 () (tptp.p @t4)) % 0.41/0.66 (define @t6 () (- @t5 @t4)) % 0.41/0.66 (define @t7 () (= @t6 @t3)) % 0.41/0.66 (define @t8 () (not @t7)) % 0.41/0.66 (define @t9 () (+ @t2 @t1)) % 0.41/0.66 (define @t10 () (+ @t5 @t4)) % 0.41/0.66 (define @t11 () (= @t10 @t9)) % 0.41/0.66 (define @t12 () (not @t11)) % 0.41/0.66 (define @t13 () (= @t5 @t2)) % 0.41/0.66 (define @t14 () (not @t13)) % 0.41/0.66 (define @t15 () (and @t14 @t12 @t8)) % 0.41/0.66 (define @t16 () (<= @t1 tptp.n)) % 0.41/0.66 (define @t17 () (+ 1 @t4)) % 0.41/0.66 (define @t18 () (<= @t17 @t1)) % 0.41/0.66 (define @t19 () (<= @t4 tptp.n)) % 0.41/0.66 (define @t20 () (<= 1 @t4)) % 0.41/0.66 (define @t21 () (and @t20 @t19 @t18 @t16)) % 0.41/0.66 (define @t22 () (=> @t21 @t15)) % 0.41/0.66 (define @t23 () (@list @t4 @t1)) % 0.41/0.66 (define @t24 () (forall @t23 @t22)) % 0.41/0.66 (define @t25 () (=> tptp.queens_p @t24)) % 0.41/0.66 (define @t26 () (+ 1 tptp.n)) % 0.41/0.66 (define @t27 () (- @t26 @t4)) % 0.41/0.66 (define @t28 () (tptp.perm @t4)) % 0.41/0.66 (define @t29 () (= @t28 @t27)) % 0.41/0.66 (define @t30 () (@list @t4)) % 0.41/0.66 (define @t31 () (forall @t30 @t29)) % 0.41/0.66 (define @t32 () (tptp.q @t1)) % 0.41/0.66 (define @t33 () (- @t32 @t1)) % 0.41/0.66 (define @t34 () (tptp.q @t4)) % 0.41/0.66 (define @t35 () (- @t34 @t4)) % 0.41/0.66 (define @t36 () (= @t35 @t33)) % 0.41/0.66 (define @t37 () (not @t36)) % 0.41/0.66 (define @t38 () (+ @t32 @t1)) % 0.41/0.66 (define @t39 () (+ @t34 @t4)) % 0.41/0.66 (define @t40 () (= @t39 @t38)) % 0.41/0.66 (define @t41 () (not @t40)) % 0.41/0.66 (define @t42 () (= @t34 @t32)) % 0.41/0.66 (define @t43 () (not @t42)) % 0.41/0.66 (define @t44 () (and @t43 @t41 @t37)) % 0.41/0.66 (define @t45 () (tptp.perm @t1)) % 0.41/0.66 (define @t46 () (+ 1 @t45)) % 0.41/0.66 (define @t47 () (= @t18 (<= @t46 @t28))) % 0.41/0.66 (define @t48 () (and @t20 @t19 @t18 @t16 @t47)) % 0.41/0.66 (define @t49 () (=> @t48 @t44)) % 0.41/0.66 (define @t50 () (forall @t23 @t49)) % 0.41/0.66 (define @t51 () (=> @t50 tptp.queens_q)) % 0.41/0.66 (define @t52 () (and (<= 1 @t28) (<= @t28 tptp.n))) % 0.41/0.66 (define @t53 () (and @t20 @t19)) % 0.41/0.66 (define @t54 () (=> @t53 @t52)) % 0.41/0.66 (define @t55 () (forall @t30 @t54)) % 0.41/0.66 (define @t56 () (- @t45 @t28)) % 0.41/0.66 (define @t57 () (- @t4 @t1)) % 0.41/0.66 (define @t58 () (= @t57 @t56)) % 0.41/0.66 (define @t59 () (@list @t1 @t4)) % 0.41/0.66 (define @t60 () (forall @t59 @t58)) % 0.41/0.66 (define @t61 () (+ -1 @t4 @t28)) % 0.41/0.66 (define @t62 () (* -1 @t4)) % 0.41/0.66 (define @t63 () (+ 1 tptp.n @t62)) % 0.41/0.66 (define @t64 () (+ @t62 tptp.n 1)) % 0.41/0.66 (define @t65 () (+ @t26 @t62)) % 0.41/0.66 (define @t66 () (+ @t1 (* -1 @t32) @t34)) % 0.41/0.66 (define @t67 () (= @t4 @t66)) % 0.41/0.66 (define @t68 () (+ @t1 @t32 (* -1 @t34))) % 0.41/0.66 (define @t69 () (= @t4 @t68)) % 0.41/0.66 (define @t70 () (= @t32 @t34)) % 0.41/0.66 (define @t71 () (and (not @t70) (not @t69) (not @t67))) % 0.41/0.66 (define @t72 () (+ @t28 (* -1 @t45))) % 0.41/0.66 (define @t73 () (>= @t72 1)) % 0.41/0.66 (define @t74 () (* -1 @t1)) % 0.41/0.66 (define @t75 () (+ @t4 @t74)) % 0.41/0.66 (define @t76 () (>= @t75 0)) % 0.41/0.66 (define @t77 () (= @t76 @t73)) % 0.41/0.66 (define @t78 () (+ tptp.n @t74)) % 0.41/0.66 (define @t79 () (>= @t78 0)) % 0.41/0.66 (define @t80 () (not @t79)) % 0.41/0.66 (define @t81 () (+ tptp.n @t62)) % 0.41/0.66 (define @t82 () (>= @t81 0)) % 0.41/0.66 (define @t83 () (not @t82)) % 0.41/0.66 (define @t84 () (>= @t4 1)) % 0.41/0.66 (define @t85 () (not @t84)) % 0.41/0.66 (define @t86 () (or @t85 @t83 @t76 @t80 @t77 @t71)) % 0.41/0.66 (define @t87 () (forall @t23 @t86)) % 0.41/0.66 (define @t88 () (@quantifiers_skolemize @t87 0)) % 0.41/0.66 (define @t89 () (@list @t88)) % 0.41/0.66 (define @t90 () (@quantifiers_skolemize @t87 1)) % 0.41/0.66 (define @t91 () (@list @t90)) % 0.41/0.66 (define @t92 () (not @t76)) % 0.41/0.66 (define @t93 () (not @t92)) % 0.41/0.66 (define @t94 () (= @t92 @t73)) % 0.41/0.66 (define @t95 () (not @t94)) % 0.41/0.66 (define @t96 () (or @t85 @t83 @t93 @t80 @t95)) % 0.41/0.66 (define @t97 () (and @t84 @t82 @t92 @t79 @t94)) % 0.41/0.66 (define @t98 () (+ @t74 @t32)) % 0.41/0.66 (define @t99 () (+ @t62 @t34)) % 0.41/0.66 (define @t100 () (+ @t32 @t74)) % 0.41/0.66 (define @t101 () (+ @t34 @t62)) % 0.41/0.66 (define @t102 () (+ @t1 @t32)) % 0.41/0.66 (define @t103 () (+ @t4 @t34)) % 0.41/0.66 (define @t104 () (+ @t1 1)) % 0.41/0.66 (define @t105 () (>= @t17 @t104)) % 0.41/0.66 (define @t106 () (not @t87)) % 0.41/0.66 (define @t107 () (@list true)) % 0.41/0.66 (define @t108 () (tptp.q @t88)) % 0.41/0.66 (define @t109 () (tptp.q @t90)) % 0.41/0.66 (define @t110 () (* -1 @t109)) % 0.41/0.66 (define @t111 () (+ @t90 @t110 @t108)) % 0.41/0.66 (define @t112 () (= @t88 @t111)) % 0.41/0.66 (define @t113 () (not @t112)) % 0.41/0.66 (define @t114 () (* -1 @t108)) % 0.41/0.66 (define @t115 () (+ @t90 @t109 @t114)) % 0.41/0.66 (define @t116 () (= @t88 @t115)) % 0.41/0.66 (define @t117 () (not @t116)) % 0.41/0.66 (define @t118 () (= @t109 @t108)) % 0.41/0.66 (define @t119 () (not @t118)) % 0.41/0.66 (define @t120 () (and @t119 @t117 @t113)) % 0.41/0.66 (define @t121 () (tptp.perm @t90)) % 0.41/0.66 (define @t122 () (* -1 @t121)) % 0.41/0.66 (define @t123 () (tptp.perm @t88)) % 0.41/0.66 (define @t124 () (+ @t123 @t122)) % 0.41/0.66 (define @t125 () (>= @t124 1)) % 0.41/0.66 (define @t126 () (* -1 @t90)) % 0.41/0.66 (define @t127 () (+ @t88 @t126)) % 0.41/0.66 (define @t128 () (>= @t127 0)) % 0.41/0.66 (define @t129 () (= @t128 @t125)) % 0.41/0.66 (define @t130 () (>= (+ tptp.n @t126) 0)) % 0.41/0.66 (define @t131 () (not @t130)) % 0.41/0.66 (define @t132 () (* -1 @t88)) % 0.41/0.66 (define @t133 () (>= (+ tptp.n @t132) 0)) % 0.41/0.66 (define @t134 () (not @t133)) % 0.41/0.66 (define @t135 () (>= @t88 1)) % 0.41/0.66 (define @t136 () (not @t135)) % 0.41/0.66 (define @t137 () (or @t136 @t134 @t128 @t131 @t129 @t120)) % 0.41/0.66 (define @t138 () (@list @t137)) % 0.41/0.66 (define @t139 () (* -1 @t28)) % 0.41/0.66 (define @t140 () (+ @t1 @t139 @t45)) % 0.41/0.66 (define @t141 () (+ @t139 @t45)) % 0.41/0.66 (define @t142 () (= @t4 @t140)) % 0.41/0.66 (define @t143 () (+ @t45 @t139)) % 0.41/0.66 (define @t144 () (* -1 @t123)) % 0.41/0.66 (define @t145 () (+ @t90 @t144 @t121)) % 0.41/0.66 (define @t146 () (- @t88 @t145)) % 0.41/0.66 (define @t147 () (+ @t88 @t123 @t122)) % 0.41/0.66 (define @t148 () (= @t88 @t145)) % 0.41/0.66 (define @t149 () (+ @t88 @t122 @t123)) % 0.41/0.66 (define @t150 () (= @t90 @t149)) % 0.41/0.66 (define @t151 () (forall @t59 @t142)) % 0.41/0.66 (define @t152 () (@list false)) % 0.41/0.66 (define @t153 () (@list @t151)) % 0.41/0.66 (define @t154 () (tptp.p @t121)) % 0.41/0.66 (define @t155 () (tptp.p @t123)) % 0.41/0.66 (define @t156 () (* -1 @t155)) % 0.41/0.66 (define @t157 () (+ @t123 @t122 @t156 @t154)) % 0.41/0.66 (define @t158 () (>= @t157 0)) % 0.41/0.66 (define @t159 () (not @t148)) % 0.41/0.66 (define @t160 () (= @t109 @t154)) % 0.41/0.66 (define @t161 () (not @t160)) % 0.41/0.66 (define @t162 () (= @t108 @t155)) % 0.41/0.66 (define @t163 () (not @t162)) % 0.41/0.66 (define @t164 () (not @t158)) % 0.41/0.66 (define @t165 () (not @t164)) % 0.41/0.66 (define @t166 () (+ @t88 @t126 @t123 @t122)) % 0.41/0.66 (define @t167 () (= @t166 0)) % 0.41/0.66 (define @t168 () (not true)) % 0.41/0.66 (define @t169 () (>= 0 0)) % 0.41/0.66 (define @t170 () (* -1 0)) % 0.41/0.66 (define @t171 () (+ @t170 0 0 0 @t170)) % 0.41/0.66 (define @t172 () (* -1 @t154)) % 0.41/0.66 (define @t173 () (* 0 @t88)) % 0.41/0.66 (define @t174 () (= @t173 0)) % 0.41/0.66 (define @t175 () (* 0 @t90)) % 0.41/0.66 (define @t176 () (= @t175 0)) % 0.41/0.66 (define @t177 () (* 0 @t123)) % 0.41/0.66 (define @t178 () (= @t177 0)) % 0.41/0.66 (define @t179 () (* 0 @t121)) % 0.41/0.66 (define @t180 () (= @t179 0)) % 0.41/0.66 (define @t181 () (* 0 @t108)) % 0.41/0.66 (define @t182 () (= @t181 0)) % 0.41/0.66 (define @t183 () (* 0 @t155)) % 0.41/0.66 (define @t184 () (= @t183 0)) % 0.41/0.66 (define @t185 () (+ @t172 @t183 @t154 @t110 @t181 @t109 @t179 @t177 @t175 @t173)) % 0.41/0.66 (define @t186 () (+ @t108 @t156)) % 0.41/0.66 (define @t187 () (* -1 @t186)) % 0.41/0.66 (define @t188 () (+ @t88 @t126 @t110 @t108)) % 0.41/0.66 (define @t189 () (+ @t109 @t172)) % 0.41/0.66 (define @t190 () (+ (* -1 @t166) @t189 @t188 @t157 @t187)) % 0.41/0.66 (define @t191 () (>= @t190 @t171)) % 0.41/0.66 (define @t192 () (= @t186 0)) % 0.41/0.66 (define @t193 () (= (* 1 (- @t186 0)) (* 1 (- @t108 @t155)))) % 0.41/0.66 (define @t194 () (= @t192 @t162)) % 0.41/0.66 (define @t195 () (< -1 0)) % 0.41/0.66 (define @t196 () (= (* 1 (- @t188 0)) (* 1 (- @t88 @t115)))) % 0.41/0.66 (define @t197 () (= @t188 0)) % 0.41/0.66 (define @t198 () (= @t197 @t116)) % 0.41/0.66 (define @t199 () (= (* 1 (- @t189 0)) (* 1 (- @t109 @t154)))) % 0.41/0.66 (define @t200 () (= @t189 0)) % 0.41/0.66 (define @t201 () (= @t200 @t160)) % 0.41/0.66 (define @t202 () (= (* 1 (- @t166 0)) (* 1 @t146))) % 0.41/0.66 (define @t203 () (= @t167 @t148)) % 0.41/0.66 (define @t204 () (and @t162 @t164 @t116 @t160 @t148)) % 0.41/0.66 (define @t205 () (+ @t1 (* -1 @t2) @t5)) % 0.41/0.66 (define @t206 () (= @t4 @t205)) % 0.41/0.66 (define @t207 () (+ @t1 @t2 (* -1 @t5))) % 0.41/0.66 (define @t208 () (= @t4 @t207)) % 0.41/0.66 (define @t209 () (= @t2 @t5)) % 0.41/0.66 (define @t210 () (and (not @t209) (not @t208) (not @t206))) % 0.41/0.66 (define @t211 () (or @t85 @t83 @t76 @t80 @t210)) % 0.41/0.66 (define @t212 () (or @t85 @t83 @t93 @t80)) % 0.41/0.66 (define @t213 () (and @t84 @t82 @t92 @t79)) % 0.41/0.66 (define @t214 () (+ @t74 @t2)) % 0.41/0.66 (define @t215 () (+ @t62 @t5)) % 0.41/0.66 (define @t216 () (+ @t2 @t74)) % 0.41/0.66 (define @t217 () (+ @t5 @t62)) % 0.41/0.66 (define @t218 () (+ @t1 @t2)) % 0.41/0.66 (define @t219 () (+ @t4 @t5)) % 0.41/0.66 (define @t220 () (forall @t23 @t211)) % 0.41/0.66 (define @t221 () (+ @t121 @t155 @t172)) % 0.41/0.66 (define @t222 () (- @t123 @t221)) % 0.41/0.66 (define @t223 () (+ @t123 @t156 @t154)) % 0.41/0.66 (define @t224 () (= @t123 @t221)) % 0.41/0.66 (define @t225 () (= @t121 @t223)) % 0.41/0.66 (define @t226 () (not @t225)) % 0.41/0.66 (define @t227 () (+ @t121 @t156 @t154)) % 0.41/0.66 (define @t228 () (- @t123 @t227)) % 0.41/0.66 (define @t229 () (+ @t123 @t155 @t172)) % 0.41/0.66 (define @t230 () (= @t123 @t227)) % 0.41/0.66 (define @t231 () (= @t121 @t229)) % 0.41/0.66 (define @t232 () (not @t231)) % 0.41/0.66 (define @t233 () (= @t155 @t154)) % 0.41/0.66 (define @t234 () (not @t233)) % 0.41/0.66 (define @t235 () (and @t234 @t232 @t226)) % 0.41/0.66 (define @t236 () (>= (+ tptp.n @t144) 0)) % 0.41/0.66 (define @t237 () (not @t236)) % 0.41/0.66 (define @t238 () (+ @t144 @t121)) % 0.41/0.66 (define @t239 () (+ @t124 1)) % 0.41/0.66 (define @t240 () (+ @t121 @t144)) % 0.41/0.66 (define @t241 () (>= @t240 0)) % 0.41/0.66 (define @t242 () (+ tptp.n @t122)) % 0.41/0.66 (define @t243 () (>= @t242 0)) % 0.41/0.66 (define @t244 () (not @t243)) % 0.41/0.66 (define @t245 () (>= @t121 1)) % 0.41/0.66 (define @t246 () (not @t245)) % 0.41/0.66 (define @t247 () (or @t246 @t244 @t241 @t237 @t235)) % 0.41/0.66 (define @t248 () (not @t224)) % 0.41/0.66 (define @t249 () (not @t230)) % 0.41/0.66 (define @t250 () (and @t234 @t249 @t248)) % 0.41/0.66 (define @t251 () (not @t125)) % 0.41/0.66 (define @t252 () (or @t246 @t244 @t251 @t237 @t250)) % 0.41/0.66 (define @t253 () (not @t128)) % 0.41/0.66 (define @t254 () (+ -1 @t88 @t123)) % 0.41/0.66 (define @t255 () (= tptp.n @t254)) % 0.41/0.66 (define @t256 () (not @t255)) % 0.41/0.66 (define @t257 () (* -1 1)) % 0.41/0.66 (define @t258 () (* -1 -1)) % 0.41/0.66 (define @t259 () (+ 0 @t258 @t257 @t257)) % 0.41/0.66 (define @t260 () (* 0 tptp.n)) % 0.41/0.66 (define @t261 () (= @t260 0)) % 0.41/0.66 (define @t262 () (+ @t123 @t179 @t144 @t173 @t260)) % 0.41/0.66 (define @t263 () (* -1 @t124)) % 0.41/0.66 (define @t264 () (+ tptp.n @t132 @t144)) % 0.41/0.66 (define @t265 () (* -1 @t264)) % 0.41/0.66 (define @t266 () (+ @t242 @t265 @t263 @t132)) % 0.41/0.66 (define @t267 () (>= @t266 @t259)) % 0.41/0.66 (define @t268 () (= @t264 -1)) % 0.41/0.66 (define @t269 () (= (* 1 (- @t264 -1)) (* 1 (- tptp.n @t254)))) % 0.41/0.66 (define @t270 () (= @t268 @t255)) % 0.41/0.66 (define @t271 () (@list false false false)) % 0.41/0.66 (define @t272 () (+ tptp.n @t139)) % 0.41/0.66 (define @t273 () (>= @t272 0)) % 0.41/0.66 (define @t274 () (and (>= @t28 1) @t273)) % 0.41/0.66 (define @t275 () (and @t84 @t82)) % 0.41/0.66 (define @t276 () (>= @t90 1)) % 0.41/0.66 (define @t277 () (not @t276)) % 0.41/0.66 (define @t278 () (< @t90 1)) % 0.41/0.66 (define @t279 () (+ 1 0 @t257)) % 0.41/0.66 (define @t280 () (+ @t126 @t132 @t90 @t88)) % 0.41/0.66 (define @t281 () (+ @t90 @t127 @t132)) % 0.41/0.66 (define @t282 () (>= @t281 @t279)) % 0.41/0.66 (define @t283 () (and @t245 @t243)) % 0.41/0.66 (define @t284 () (or @t277 @t131 @t283)) % 0.41/0.66 (define @t285 () (and (>= @t123 1) @t236)) % 0.41/0.66 (define @t286 () (or @t136 @t134 @t285)) % 0.41/0.66 (define @t287 () (not @t250)) % 0.41/0.66 (define @t288 () (@list @t250)) % 0.41/0.66 (define @t289 () (= @t108 @t109)) % 0.41/0.66 (define @t290 () (and @t162 @t160 @t234)) % 0.41/0.66 (define @t291 () (>= @t124 0)) % 0.41/0.66 (define @t292 () (not @t291)) % 0.41/0.66 (define @t293 () (+ -1 1)) % 0.41/0.66 (define @t294 () (>= @t124 @t293)) % 0.41/0.66 (define @t295 () (<= @t124 -1)) % 0.41/0.66 (define @t296 () (+ -1 @t257)) % 0.41/0.66 (define @t297 () (+ @t179 @t177)) % 0.41/0.66 (define @t298 () (+ @t124 @t263)) % 0.41/0.66 (define @t299 () (and @t292 @t125)) % 0.41/0.66 (define @t300 () (+ -1 @t90 @t121)) % 0.41/0.66 (define @t301 () (= tptp.n @t300)) % 0.41/0.66 (define @t302 () (not @t301)) % 0.41/0.66 (define @t303 () (+ @t88 @t126 @t109 @t114)) % 0.41/0.66 (define @t304 () (= @t303 0)) % 0.41/0.66 (define @t305 () (* -2 0)) % 0.41/0.66 (define @t306 () (+ @t170 @t258 @t170 0 @t305 0 -1)) % 0.41/0.66 (define @t307 () (* 0 @t109)) % 0.41/0.66 (define @t308 () (= @t307 0)) % 0.41/0.66 (define @t309 () (+ @t172 @t183 @t123 @t154 @t108 @t114 @t307 @t179 @t144 @t175 @t88 @t132 @t260)) % 0.41/0.66 (define @t310 () (+ tptp.n @t126 @t122)) % 0.41/0.66 (define @t311 () (* -1 @t303)) % 0.41/0.66 (define @t312 () (+ @t311 @t265 @t187 @t189 (* -2 @t124) @t157 @t310)) % 0.41/0.66 (define @t313 () (>= @t312 @t306)) % 0.41/0.66 (define @t314 () (= (* 1 (- @t310 -1)) (* 1 (- tptp.n @t300)))) % 0.41/0.66 (define @t315 () (= @t310 -1)) % 0.41/0.66 (define @t316 () (= @t315 @t301)) % 0.41/0.66 (define @t317 () (= (* 1 (- @t303 0)) (* 1 (- @t88 @t111)))) % 0.41/0.66 (define @t318 () (= @t304 @t112)) % 0.41/0.66 (define @t319 () (and @t301 @t164 @t291 @t160 @t162 @t255 @t112)) % 0.41/0.66 (define @t320 () (>= @t188 0)) % 0.41/0.66 (define @t321 () (not @t320)) % 0.41/0.66 (define @t322 () (<= 0 -1)) % 0.41/0.66 (define @t323 () (+ @t170 0 @t170 @t257 @t258 -1)) % 0.41/0.66 (define @t324 () (+ @t154 @t183 @t123 @t172 @t109 @t181 @t110 @t179 @t144 @t175 @t88 @t132 @t260)) % 0.41/0.66 (define @t325 () (* -1 @t189)) % 0.41/0.66 (define @t326 () (* -1 @t188)) % 0.41/0.66 (define @t327 () (+ @t326 @t186 @t325 (* -1 @t157) @t265 @t310)) % 0.41/0.66 (define @t328 () (= @t157 0)) % 0.41/0.66 (define @t329 () (+ @t170 -1)) % 0.41/0.66 (define @t330 () (+ @t307 @t181 @t175 @t173)) % 0.41/0.66 (define @t331 () (+ @t326 @t188)) % 0.41/0.66 (define @t332 () (+ @t123 @t122 @t155 @t172)) % 0.41/0.66 (define @t333 () (>= @t332 1)) % 0.41/0.66 (define @t334 () (not @t333)) % 0.41/0.66 (define @t335 () (>= @t332 @t293)) % 0.41/0.66 (define @t336 () (<= @t332 -1)) % 0.41/0.66 (define @t337 () (+ -1 @t170 0 -1 @t258 0)) % 0.41/0.66 (define @t338 () (* 0 @t154)) % 0.41/0.66 (define @t339 () (= @t338 0)) % 0.41/0.66 (define @t340 () (+ @t338 @t156 @t144 @t155 @t114 @t108 @t307 @t179 @t123 @t175 @t132 @t88 @t260)) % 0.41/0.66 (define @t341 () (+ @t332 @t325 @t186 @t264 (* -1 @t310) @t303)) % 0.41/0.66 (define @t342 () (= @t332 0)) % 0.41/0.66 (define @t343 () (and @t112 @t301 @t255 @t162 @t160 @t249 @t334)) % 0.41/0.66 (define @t344 () (+ @t257 0 @t170 @t258 -1 @t170)) % 0.41/0.66 (define @t345 () (+ @t338 @t155 @t123 @t156 @t108 @t114 @t307 @t179 @t144 @t175 @t88 @t132 @t260)) % 0.41/0.66 (define @t346 () (+ (* -1 @t332) @t189 @t187 @t265 @t310 @t311)) % 0.41/0.66 (define @t347 () (and @t112 @t301 @t255 @t162 @t160 @t333)) % 0.41/0.66 (assume @p1 @t25) % 0.41/0.66 (assume @p2 @t31) % 0.41/0.66 (assume @p3 @t51) % 0.41/0.66 (assume @p4 (not (=> (and tptp.queens_p (forall @t30 (= @t34 (tptp.p @t28)))) tptp.queens_q))) % 0.41/0.66 (assume @p5 @t55) % 0.41/0.66 (assume @p6 @t60) % 0.41/0.66 (assume @p7 true) % 0.41/0.66 (step @p8 :rule arith_poly_norm :args ((= (* 1 (- @t28 @t63)) (* -1 (- tptp.n @t61))))) % 0.41/0.66 (step @p9 :rule arith_poly_norm_rel :premises (@p8) :args ((= (= @t28 @t63) (= tptp.n @t61)))) % 0.41/0.66 (step @p10 :rule arith_poly_norm :args ((= @t64 @t63))) % 0.41/0.66 (step @p11 :rule arith_poly_norm :args ((= @t65 @t64))) % 0.41/0.66 (step @p12 :rule trans :premises (@p11 @p10)) % 0.41/0.66 (step @p13 :rule arith_poly_norm :args ((= @t27 @t65))) % 0.41/0.66 (step @p14 :rule trans :premises (@p13 @p12)) % 0.41/0.66 (step @p15 :rule refl :args (@t28)) % 0.41/0.66 (step @p16 :rule cong :premises (@p15 @p14) :args (@t29)) % 0.41/0.66 (step @p17 :rule trans :premises (@p16 @p9)) % 0.41/0.66 (step @p18 :rule cong :premises (@p17) :args (@t31)) % 0.41/0.66 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 0.41/0.66 (step @p20 :rule instantiate :premises (@p19) :args (@t89)) % 0.41/0.66 (step @p21 :rule instantiate :premises (@p19) :args (@t91)) % 0.41/0.66 (step @p22 :rule not_implies_elim1 :premises (@p4)) % 0.41/0.66 (step @p23 :rule and_elim :premises (@p22) :args (1)) % 0.41/0.66 (step @p24 :rule instantiate :premises (@p23) :args (@t89)) % 0.41/0.66 (step @p25 :rule instantiate :premises (@p23) :args (@t91)) % 0.41/0.66 (step @p26 :rule not_implies_elim2 :premises (@p4)) % 0.41/0.66 (step @p27 :rule refl :args (tptp.queens_q)) % 0.41/0.66 (step @p28 :rule aci_norm :args ((= (or (or @t85 @t83 @t76 @t80 @t77) @t71) @t86))) % 0.41/0.66 (step @p29 :rule refl :args (@t71)) % 0.41/0.66 (step @p30 :rule refl :args (@t73)) % 0.41/0.66 (step @p31 :rule bool-double-not-elim :args (@t76)) % 0.41/0.66 (step @p32 :rule cong :premises (@p31 @p30) :args ((= @t93 @t73))) % 0.41/0.66 (step @p33 :rule bool-not-eq-elim1 :args (@t92 @t73)) % 0.41/0.66 (step @p34 :rule trans :premises (@p33 @p32)) % 0.41/0.66 (step @p35 :rule refl :args (@t80)) % 0.41/0.66 (step @p36 :rule refl :args (@t76)) % 0.41/0.66 (step @p37 :rule refl :args (@t83)) % 0.41/0.66 (step @p38 :rule refl :args (@t85)) % 0.41/0.66 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36 @p35 @p34) :args ((or @t85 @t83 @t76 @t80 @t95))) % 0.41/0.66 (step @p40 :rule refl :args (@t95)) % 0.41/0.66 (step @p41 :rule nary_cong :premises (@p38 @p37 @p31 @p35 @p40) :args (@t96)) % 0.41/0.66 (step @p42 :rule aci_norm :args ((= (or @t85 (or @t83 (or @t93 (or @t80 @t95)))) @t96))) % 0.41/0.66 (step @p43 :rule trans :premises (@p42 @p41)) % 0.41/0.66 (step @p44 :rule bool-and-de-morgan :args (@t79 @t94 true)) % 0.41/0.66 (step @p45 :rule refl :args (@t93)) % 0.41/0.66 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t93 (not (and @t79 @t94))))) % 0.41/0.66 (step @p47 :rule bool-and-de-morgan :args (@t92 @t79 (and @t94))) % 0.41/0.66 (step @p48 :rule trans :premises (@p47 @p46)) % 0.41/0.66 (step @p49 :rule nary_cong :premises (@p37 @p48) :args ((or @t83 (not (and @t92 @t79 @t94))))) % 0.41/0.66 (step @p50 :rule bool-and-de-morgan :args (@t82 @t92 (and @t79 @t94))) % 0.41/0.66 (step @p51 :rule trans :premises (@p50 @p49)) % 0.41/0.66 (step @p52 :rule nary_cong :premises (@p38 @p51) :args ((or @t85 (not (and @t82 @t92 @t79 @t94))))) % 0.41/0.66 (step @p53 :rule bool-and-de-morgan :args (@t84 @t82 (and @t92 @t79 @t94))) % 0.41/0.66 (step @p54 :rule trans :premises (@p53 @p52)) % 0.41/0.66 (step @p55 :rule trans :premises (@p54 @p43)) % 0.41/0.66 (step @p56 :rule trans :premises (@p55 @p39)) % 0.41/0.66 (step @p57 :rule nary_cong :premises (@p56 @p29) :args ((or (not @t97) @t71))) % 0.41/0.66 (step @p58 :rule trans :premises (@p57 @p28)) % 0.41/0.66 (step @p59 :rule bool-impl-elim :args (@t97 @t71)) % 0.41/0.66 (step @p60 :rule trans :premises (@p59 @p58)) % 0.41/0.66 (step @p61 :rule cong :premises (@p60) :args ((forall @t23 (=> @t97 @t71)))) % 0.41/0.66 (step @p62 :rule arith_poly_norm :args ((= (* 1 (- @t99 @t98)) (* -1 (- @t4 @t66))))) % 0.41/0.66 (step @p63 :rule arith_poly_norm_rel :premises (@p62) :args ((= (= @t99 @t98) @t67))) % 0.41/0.66 (step @p64 :rule arith_poly_norm :args ((= @t100 @t98))) % 0.41/0.66 (step @p65 :rule arith_poly_norm :args ((= @t33 @t100))) % 0.41/0.66 (step @p66 :rule trans :premises (@p65 @p64)) % 0.41/0.66 (step @p67 :rule arith_poly_norm :args ((= @t101 @t99))) % 0.41/0.66 (step @p68 :rule arith_poly_norm :args ((= @t35 @t101))) % 0.41/0.66 (step @p69 :rule trans :premises (@p68 @p67)) % 0.41/0.66 (step @p70 :rule cong :premises (@p69 @p66) :args (@t36)) % 0.41/0.66 (step @p71 :rule trans :premises (@p70 @p63)) % 0.41/0.66 (step @p72 :rule cong :premises (@p71) :args (@t37)) % 0.41/0.66 (step @p73 :rule arith_poly_norm :args ((= (* 1 (- @t103 @t102)) (* 1 (- @t4 @t68))))) % 0.41/0.66 (step @p74 :rule arith_poly_norm_rel :premises (@p73) :args ((= (= @t103 @t102) @t69))) % 0.41/0.66 (step @p75 :rule arith_poly_norm :args ((= @t38 @t102))) % 0.41/0.66 (step @p76 :rule arith_poly_norm :args ((= @t39 @t103))) % 0.41/0.66 (step @p77 :rule cong :premises (@p76 @p75) :args (@t40)) % 0.41/0.66 (step @p78 :rule trans :premises (@p77 @p74)) % 0.41/0.66 (step @p79 :rule cong :premises (@p78) :args (@t41)) % 0.41/0.66 (step @p80 :rule arith_poly_norm :args ((= (* 1 (- @t34 @t32)) (* -1 (- @t32 @t34))))) % 0.41/0.66 (step @p81 :rule arith_poly_norm_rel :premises (@p80) :args ((= @t42 @t70))) % 0.41/0.66 (step @p82 :rule cong :premises (@p81) :args (@t43)) % 0.41/0.66 (step @p83 :rule nary_cong :premises (@p82 @p79 @p72) :args (@t44)) % 0.41/0.66 (step @p84 :rule arith_poly_norm :args ((= (* -1 (- @t28 @t46)) (* -1 (- @t72 1))))) % 0.41/0.66 (step @p85 :rule arith_poly_norm_rel :premises (@p84) :args ((= (>= @t28 @t46) @t73))) % 0.41/0.66 (step @p86 :rule arith-elim-leq :args (@t46 @t28)) % 0.41/0.66 (step @p87 :rule trans :premises (@p86 @p85)) % 0.41/0.66 (step @p88 :rule arith_poly_norm :args ((= (* 1 (- @t17 @t104)) (* 1 (- @t75 0))))) % 0.41/0.66 (step @p89 :rule arith_poly_norm_rel :premises (@p88) :args ((= @t105 @t76))) % 0.41/0.66 (step @p90 :rule cong :premises (@p89) :args ((not @t105))) % 0.41/0.66 (step @p91 :rule arith-leq-norm :args (@t17 @t1)) % 0.41/0.66 (step @p92 :rule trans :premises (@p91 @p90)) % 0.41/0.66 (step @p93 :rule cong :premises (@p92 @p87) :args (@t47)) % 0.41/0.66 (step @p94 :rule arith_poly_norm :args ((= (* 1 (- tptp.n @t1)) (* 1 (- @t78 0))))) % 0.41/0.66 (step @p95 :rule arith_poly_norm_rel :premises (@p94) :args ((= (>= tptp.n @t1) @t79))) % 0.41/0.66 (step @p96 :rule arith-elim-leq :args (@t1 tptp.n)) % 0.41/0.66 (step @p97 :rule trans :premises (@p96 @p95)) % 0.41/0.66 (step @p98 :rule arith_poly_norm :args ((= (* 1 (- tptp.n @t4)) (* 1 (- @t81 0))))) % 0.41/0.66 (step @p99 :rule arith_poly_norm_rel :premises (@p98) :args ((= (>= tptp.n @t4) @t82))) % 0.41/0.66 (step @p100 :rule arith-elim-leq :args (@t4 tptp.n)) % 0.41/0.66 (step @p101 :rule trans :premises (@p100 @p99)) % 0.41/0.66 (step @p102 :rule arith-elim-leq :args (1 @t4)) % 0.41/0.66 (step @p103 :rule nary_cong :premises (@p102 @p101 @p92 @p97 @p93) :args (@t48)) % 0.41/0.66 (step @p104 :rule cong :premises (@p103 @p83) :args (@t49)) % 0.41/0.66 (step @p105 :rule cong :premises (@p104) :args (@t50)) % 0.41/0.66 (step @p106 :rule trans :premises (@p105 @p61)) % 0.41/0.66 (step @p107 :rule cong :premises (@p106 @p27) :args (@t51)) % 0.41/0.66 (step @p108 :rule eq_resolve :premises (@p3 @p107)) % 0.41/0.66 (step @p109 :rule implies_elim :premises (@p108)) % 0.41/0.66 (step @p110 :rule reordering :premises (@p109) :args ((or tptp.queens_q @t106))) % 0.41/0.66 (step @p111 :rule chain_m_resolution :premises (@p110 @p26) :args (@t106 @t107 (@list tptp.queens_q))) % 0.41/0.66 (step @p112 :rule skolemize :premises (@p111)) % 0.41/0.66 (step @p113 :rule cnf_or_neg :args (@t137 5)) % 0.41/0.66 (step @p114 :rule chain_m_resolution :premises (@p113 @p112) :args ((not @t120) @t107 @t138)) % 0.41/0.66 (step @p115 :rule arith_poly_norm :args ((= (* 1 (- @t75 @t141)) (* 1 (- @t4 @t140))))) % 0.41/0.66 (step @p116 :rule arith_poly_norm_rel :premises (@p115) :args ((= (= @t75 @t141) @t142))) % 0.41/0.66 (step @p117 :rule arith_poly_norm :args ((= @t143 @t141))) % 0.41/0.66 (step @p118 :rule arith_poly_norm :args ((= @t56 @t143))) % 0.41/0.66 (step @p119 :rule trans :premises (@p118 @p117)) % 0.41/0.66 (step @p120 :rule arith_poly_norm :args ((= @t57 @t75))) % 0.41/0.66 (step @p121 :rule cong :premises (@p120 @p119) :args (@t58)) % 0.41/0.66 (step @p122 :rule trans :premises (@p121 @p116)) % 0.41/0.66 (step @p123 :rule cong :premises (@p122) :args (@t60)) % 0.41/0.66 (step @p124 :rule eq_resolve :premises (@p6 @p123)) % 0.41/0.66 (step @p125 :rule arith_poly_norm :args ((= (* 1 (- @t90 @t147)) (* -1 @t146)))) % 0.41/0.66 (step @p126 :rule arith_poly_norm_rel :premises (@p125) :args ((= (= @t90 @t147) @t148))) % 0.41/0.66 (step @p127 :rule arith_poly_norm :args ((= @t149 @t147))) % 0.41/0.66 (step @p128 :rule refl :args (@t90)) % 0.41/0.66 (step @p129 :rule cong :premises (@p128 @p127) :args (@t150)) % 0.41/0.66 (step @p130 :rule trans :premises (@p129 @p126)) % 0.41/0.66 (step @p131 :rule refl :args (@t151)) % 0.41/0.66 (step @p132 :rule cong :premises (@p131 @p130) :args ((=> @t151 @t150))) % 0.41/0.66 (assume-push @p912 @t151) % 0.41/0.66 (step @p134 :rule instantiate :premises (@p124) :args ((@list @t88 @t90))) % 0.41/0.66 (step-pop @p913 :rule scope :premises (@p134)) % 0.41/0.66 (step @p135 :rule process_scope :premises (@p913) :args (@t150)) % 0.41/0.66 (step @p137 :rule eq_resolve :premises (@p135 @p132)) % 0.41/0.66 (step @p138 :rule implies_elim :premises (@p137)) % 0.41/0.66 (step @p139 :rule chain_m_resolution :premises (@p138 @p124) :args (@t148 @t152 @t153)) % 0.41/0.66 (step @p140 :rule bool-double-not-elim :args (@t158)) % 0.41/0.66 (step @p141 :rule refl :args (@t159)) % 0.41/0.66 (step @p142 :rule refl :args (@t161)) % 0.41/0.66 (step @p143 :rule refl :args (@t163)) % 0.41/0.66 (step @p144 :rule refl :args (@t117)) % 0.41/0.66 (step @p145 :rule nary_cong :premises (@p144 @p143 @p142 @p141 @p140) :args ((or @t117 @t163 @t161 @t159 @t165))) % 0.41/0.66 (assume-push @p914 @t162) % 0.41/0.66 (assume-push @p915 @t164) % 0.41/0.66 (assume-push @p916 @t116) % 0.41/0.66 (assume-push @p917 @t160) % 0.41/0.66 (assume-push @p918 @t148) % 0.41/0.66 (assume-push @p919 @t167) % 0.41/0.66 (step @p152 :rule evaluate :args (@t168)) % 0.41/0.66 (step @p153 :rule evaluate :args (@t169)) % 0.41/0.66 (step @p154 :rule evaluate :args ((+ 0 0 0 0 0))) % 0.41/0.66 (step @p155 :rule evaluate :args (@t170)) % 0.41/0.66 (step @p156 :rule refl :args (0)) % 0.41/0.66 (step @p157 :rule nary_cong :premises (@p155 @p156 @p156 @p156 @p155) :args (@t171)) % 0.41/0.66 (step @p158 :rule trans :premises (@p157 @p154)) % 0.41/0.66 (step @p159 :rule arith_poly_norm :args ((= (+ @t172 0 @t154 @t110 0 @t109 0 0 0 0) 0))) % 0.41/0.66 (step @p160 :rule arith_poly_norm :args (@t174)) % 0.41/0.66 (step @p161 :rule 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