%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : GRP183-2 : TPTP v9.2.1. Bugfixed v1.2.1. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:20:08 AM UTC 2026 % Result : Unsatisfiable 6.93s 7.17s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.07 % Problem : GRP183-2 : TPTP v9.2.1. Bugfixed v1.2.1. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 19:54:45 EDT 2026 % 0.07/0.26 % CPUTime : % 0.17/0.34 %----Proving TF0_NAR, FOF, or CNF % 0.17/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 6.93/7.17 % SZS status Unsatisfiable % 6.93/7.17 % SZS output start Proof % 6.93/7.18 ( % 6.93/7.18 (declare-sort $$unsorted 0) % 6.93/7.18 (declare-const tptp.a $$unsorted) % 6.93/7.18 (declare-const tptp.least_upper_bound (-> $$unsorted $$unsorted $$unsorted)) % 6.93/7.18 (declare-const tptp.greatest_lower_bound (-> $$unsorted $$unsorted $$unsorted)) % 6.93/7.18 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 6.93/7.18 (declare-const tptp.multiply (-> $$unsorted $$unsorted $$unsorted)) % 6.93/7.18 (declare-const tptp.identity $$unsorted) % 6.93/7.18 (define @t1 () (@var "X" $$unsorted)) % 6.93/7.18 (define @t2 () (tptp.multiply tptp.identity @t1)) % 6.93/7.18 (define @t3 () (@list @t1)) % 6.93/7.18 (define @t4 () (forall @t3 (= @t2 @t1))) % 6.93/7.18 (define @t5 () (tptp.inverse @t1)) % 6.93/7.18 (define @t6 () (tptp.multiply @t5 @t1)) % 6.93/7.18 (define @t7 () (forall @t3 (= @t6 tptp.identity))) % 6.93/7.18 (define @t8 () (@var "Z" $$unsorted)) % 6.93/7.18 (define @t9 () (@var "Y" $$unsorted)) % 6.93/7.18 (define @t10 () (tptp.multiply @t1 @t9)) % 6.93/7.18 (define @t11 () (@list @t1 @t9 @t8)) % 6.93/7.18 (define @t12 () (forall @t11 (= (tptp.multiply @t10 @t8) (tptp.multiply @t1 (tptp.multiply @t9 @t8))))) % 6.93/7.18 (define @t13 () (tptp.greatest_lower_bound @t1 @t9)) % 6.93/7.18 (define @t14 () (@list @t1 @t9)) % 6.93/7.18 (define @t15 () (tptp.least_upper_bound @t1 @t9)) % 6.93/7.18 (define @t16 () (tptp.greatest_lower_bound @t9 @t8)) % 6.93/7.18 (define @t17 () (tptp.least_upper_bound @t9 @t8)) % 6.93/7.18 (define @t18 () (forall @t11 (= (tptp.least_upper_bound @t1 @t17) (tptp.least_upper_bound @t15 @t8)))) % 6.93/7.18 (define @t19 () (tptp.least_upper_bound @t1 @t13)) % 6.93/7.18 (define @t20 () (forall @t14 (= @t19 @t1))) % 6.93/7.18 (define @t21 () (tptp.greatest_lower_bound @t1 @t15)) % 6.93/7.18 (define @t22 () (forall @t14 (= @t21 @t1))) % 6.93/7.18 (define @t23 () (tptp.multiply @t1 @t8)) % 6.93/7.18 (define @t24 () (tptp.multiply @t8 @t1)) % 6.93/7.18 (define @t25 () (tptp.multiply @t9 @t1)) % 6.93/7.18 (define @t26 () (@list @t9 @t8 @t1)) % 6.93/7.18 (define @t27 () (tptp.inverse tptp.identity)) % 6.93/7.18 (define @t28 () (tptp.inverse @t5)) % 6.93/7.18 (define @t29 () (forall @t3 (= @t28 @t1))) % 6.93/7.18 (define @t30 () (tptp.greatest_lower_bound tptp.a tptp.identity)) % 6.93/7.18 (define @t31 () (tptp.inverse @t30)) % 6.93/7.18 (define @t32 () (tptp.least_upper_bound tptp.a tptp.identity)) % 6.93/7.18 (define @t33 () (tptp.greatest_lower_bound @t32 @t31)) % 6.93/7.18 (define @t34 () (@list @t30)) % 6.93/7.18 (define @t35 () (@list tptp.a tptp.identity)) % 6.93/7.18 (define @t36 () (@list @t32 @t31)) % 6.93/7.18 (define @t37 () (@list @t32 @t33)) % 6.93/7.18 (define @t38 () (@list @t31)) % 6.93/7.18 (define @t39 () (tptp.inverse @t31)) % 6.93/7.18 (define @t40 () (tptp.least_upper_bound tptp.identity tptp.a)) % 6.93/7.18 (define @t41 () (tptp.multiply @t31 tptp.identity)) % 6.93/7.18 (define @t42 () (tptp.multiply @t31 tptp.a)) % 6.93/7.18 (define @t43 () (tptp.least_upper_bound tptp.a @t30)) % 6.93/7.18 (define @t44 () (tptp.greatest_lower_bound @t31 @t32)) % 6.93/7.18 (define @t45 () (tptp.multiply @t31 @t31)) % 6.93/7.18 (define @t46 () (tptp.multiply @t30 @t31)) % 6.93/7.18 (define @t47 () (tptp.multiply @t46 tptp.a)) % 6.93/7.18 (define @t48 () (tptp.multiply @t30 @t42)) % 6.93/7.18 (define @t49 () (= @t47 @t48)) % 6.93/7.18 (define @t50 () (@list @t30 @t31 tptp.a)) % 6.93/7.18 (define @t51 () (= @t48 @t47)) % 6.93/7.18 (define @t52 () (@list false)) % 6.93/7.18 (define @t53 () (@list @t32 @t42)) % 6.93/7.18 (define @t54 () (tptp.greatest_lower_bound @t32 @t42)) % 6.93/7.18 (define @t55 () (@list @t54 @t41)) % 6.93/7.18 (define @t56 () (tptp.greatest_lower_bound @t42 @t41)) % 6.93/7.18 (define @t57 () (tptp.multiply @t41 @t31)) % 6.93/7.18 (define @t58 () (tptp.multiply @t42 @t31)) % 6.93/7.18 (define @t59 () (tptp.multiply @t31 @t43)) % 6.93/7.18 (define @t60 () (tptp.multiply @t41 tptp.identity)) % 6.93/7.18 (define @t61 () (tptp.multiply @t42 tptp.identity)) % 6.93/7.18 (define @t62 () (tptp.multiply @t39 @t30)) % 6.93/7.18 (define @t63 () (tptp.multiply tptp.identity @t42)) % 6.93/7.18 (define @t64 () (tptp.multiply tptp.a @t42)) % 6.93/7.18 (define @t65 () (tptp.greatest_lower_bound @t54 @t41)) % 6.93/7.18 (define @t66 () (tptp.greatest_lower_bound @t57 @t32)) % 6.93/7.18 (define @t67 () (tptp.multiply @t59 @t31)) % 6.93/7.18 (define @t68 () (tptp.least_upper_bound tptp.identity @t54)) % 6.93/7.18 (define @t69 () (tptp.least_upper_bound tptp.a @t68)) % 6.93/7.18 (define @t70 () (tptp.least_upper_bound @t32 @t54)) % 6.93/7.18 (define @t71 () (= @t69 @t70)) % 6.93/7.18 (define @t72 () (@list tptp.a tptp.identity @t54)) % 6.93/7.18 (define @t73 () (= @t70 @t69)) % 6.93/7.18 (define @t74 () (tptp.multiply @t39 tptp.a)) % 6.93/7.18 (define @t75 () (tptp.multiply tptp.identity @t31)) % 6.93/7.18 (define @t76 () (tptp.multiply tptp.a @t31)) % 6.93/7.18 (define @t77 () (tptp.greatest_lower_bound @t48 @t64)) % 6.93/7.18 (define @t78 () (tptp.multiply @t43 @t42)) % 6.93/7.18 (define @t79 () (tptp.multiply @t75 tptp.a)) % 6.93/7.18 (define @t80 () (tptp.multiply @t76 tptp.a)) % 6.93/7.18 (define @t81 () (tptp.multiply @t62 @t32)) % 6.93/7.18 (define @t82 () (tptp.least_upper_bound @t62 @t74)) % 6.93/7.18 (define @t83 () (tptp.multiply @t62 @t44)) % 6.93/7.18 (define @t84 () (tptp.multiply @t62 @t58)) % 6.93/7.18 (define @t85 () (tptp.greatest_lower_bound @t79 @t32)) % 6.93/7.18 (define @t86 () (tptp.multiply @t46 @t79)) % 6.93/7.18 (define @t87 () (tptp.multiply @t46 @t80)) % 6.93/7.18 (define @t88 () (= tptp.identity @t27)) % 6.93/7.18 (define @t89 () (= tptp.identity (tptp.multiply @t27 tptp.identity))) % 6.93/7.18 (define @t90 () (tptp.multiply @t31 @t30)) % 6.93/7.18 (define @t91 () (= tptp.identity @t90)) % 6.93/7.18 (define @t92 () (tptp.greatest_lower_bound tptp.identity tptp.a)) % 6.93/7.18 (define @t93 () (= @t30 @t92)) % 6.93/7.18 (define @t94 () (= @t33 @t44)) % 6.93/7.18 (define @t95 () (= @t32 @t40)) % 6.93/7.18 (define @t96 () (= tptp.a @t43)) % 6.93/7.18 (define @t97 () (tptp.least_upper_bound @t32 @t33)) % 6.93/7.18 (define @t98 () (= @t32 @t97)) % 6.93/7.18 (define @t99 () (tptp.greatest_lower_bound tptp.a @t32)) % 6.93/7.18 (define @t100 () (= tptp.a @t99)) % 6.93/7.18 (define @t101 () (tptp.least_upper_bound @t33 @t32)) % 6.93/7.18 (define @t102 () (= @t97 @t101)) % 6.93/7.18 (define @t103 () (tptp.greatest_lower_bound tptp.identity @t40)) % 6.93/7.18 (define @t104 () (= tptp.identity @t103)) % 6.93/7.18 (define @t105 () (tptp.greatest_lower_bound tptp.a @t43)) % 6.93/7.18 (define @t106 () (= tptp.a @t105)) % 6.93/7.18 (define @t107 () (= @t32 (tptp.greatest_lower_bound @t32 @t97))) % 6.93/7.18 (define @t108 () (= @t90 @t56)) % 6.93/7.18 (define @t109 () (tptp.multiply @t31 @t39)) % 6.93/7.18 (define @t110 () (tptp.inverse @t90)) % 6.93/7.18 (define @t111 () (= @t110 @t109)) % 6.93/7.18 (define @t112 () (= @t31 @t75)) % 6.93/7.18 (define @t113 () (tptp.multiply @t39 @t31)) % 6.93/7.18 (define @t114 () (= tptp.identity @t113)) % 6.93/7.18 (define @t115 () (tptp.multiply @t109 @t31)) % 6.93/7.18 (define @t116 () (= @t115 (tptp.multiply @t31 @t113))) % 6.93/7.18 (define @t117 () (tptp.multiply @t31 @t109)) % 6.93/7.18 (define @t118 () (tptp.multiply @t45 @t39)) % 6.93/7.18 (define @t119 () (= @t118 @t117)) % 6.93/7.18 (define @t120 () (= @t103 (tptp.greatest_lower_bound @t40 tptp.identity))) % 6.93/7.18 (define @t121 () (tptp.greatest_lower_bound @t32 @t32)) % 6.93/7.18 (define @t122 () (tptp.greatest_lower_bound @t31 @t121)) % 6.93/7.18 (define @t123 () (= @t122 (tptp.greatest_lower_bound @t44 @t32))) % 6.93/7.18 (define @t124 () (tptp.greatest_lower_bound @t32 @t56)) % 6.93/7.18 (define @t125 () (= @t124 @t65)) % 6.93/7.18 (define @t126 () (tptp.least_upper_bound @t42 @t56)) % 6.93/7.18 (define @t127 () (= @t42 @t126)) % 6.93/7.18 (define @t128 () (tptp.greatest_lower_bound @t42 @t59)) % 6.93/7.18 (define @t129 () (tptp.multiply @t31 @t105)) % 6.93/7.18 (define @t130 () (= @t129 @t128)) % 6.93/7.18 (define @t131 () (tptp.greatest_lower_bound @t61 @t60)) % 6.93/7.18 (define @t132 () (tptp.multiply @t56 tptp.identity)) % 6.93/7.18 (define @t133 () (= @t132 @t131)) % 6.93/7.18 (define @t134 () (tptp.greatest_lower_bound @t58 @t57)) % 6.93/7.18 (define @t135 () (tptp.multiply @t56 @t31)) % 6.93/7.18 (define @t136 () (= @t135 @t134)) % 6.93/7.18 (define @t137 () (= @t30 @t39)) % 6.93/7.18 (define @t138 () (= @t44 (tptp.multiply tptp.identity @t44))) % 6.93/7.18 (define @t139 () (= @t42 @t63)) % 6.93/7.18 (define @t140 () (tptp.multiply @t45 @t62)) % 6.93/7.18 (define @t141 () (tptp.multiply @t118 @t30)) % 6.93/7.18 (define @t142 () (= @t141 @t140)) % 6.93/7.18 (define @t143 () (tptp.multiply @t45 @t74)) % 6.93/7.18 (define @t144 () (tptp.multiply @t118 tptp.a)) % 6.93/7.18 (define @t145 () (= @t144 @t143)) % 6.93/7.18 (define @t146 () (tptp.greatest_lower_bound @t42 tptp.a)) % 6.93/7.18 (define @t147 () (= (tptp.greatest_lower_bound tptp.a @t42) @t146)) % 6.93/7.18 (define @t148 () (tptp.greatest_lower_bound @t42 @t32)) % 6.93/7.18 (define @t149 () (= @t54 @t148)) % 6.93/7.18 (define @t150 () (tptp.greatest_lower_bound @t41 @t54)) % 6.93/7.18 (define @t151 () (= @t65 @t150)) % 6.93/7.18 (define @t152 () (= @t126 (tptp.least_upper_bound @t56 @t42))) % 6.93/7.18 (define @t153 () (tptp.greatest_lower_bound @t134 @t32)) % 6.93/7.18 (define @t154 () (tptp.greatest_lower_bound @t58 @t66)) % 6.93/7.18 (define @t155 () (= @t154 @t153)) % 6.93/7.18 (define @t156 () (tptp.greatest_lower_bound @t32 @t54)) % 6.93/7.18 (define @t157 () (= @t156 (tptp.greatest_lower_bound @t121 @t42))) % 6.93/7.18 (define @t158 () (= @t32 @t70)) % 6.93/7.18 (define @t159 () (tptp.least_upper_bound @t54 @t65)) % 6.93/7.18 (define @t160 () (= @t54 @t159)) % 6.93/7.18 (define @t161 () (tptp.multiply @t30 @t59)) % 6.93/7.18 (define @t162 () (tptp.multiply @t30 @t128)) % 6.93/7.18 (define @t163 () (= @t162 (tptp.greatest_lower_bound @t48 @t161))) % 6.93/7.18 (define @t164 () (tptp.greatest_lower_bound @t76 @t75)) % 6.93/7.18 (define @t165 () (= @t46 @t164)) % 6.93/7.18 (define @t166 () (tptp.greatest_lower_bound (tptp.multiply @t61 @t42) (tptp.multiply @t60 @t42))) % 6.93/7.18 (define @t167 () (tptp.multiply @t131 @t42)) % 6.93/7.18 (define @t168 () (= @t167 @t166)) % 6.93/7.18 (define @t169 () (tptp.greatest_lower_bound @t64 @t63)) % 6.93/7.18 (define @t170 () (= @t48 @t169)) % 6.93/7.18 (define @t171 () (tptp.greatest_lower_bound @t58 @t67)) % 6.93/7.18 (define @t172 () (tptp.multiply @t128 @t31)) % 6.93/7.18 (define @t173 () (= @t172 @t171)) % 6.93/7.18 (define @t174 () (= tptp.a (tptp.multiply tptp.identity tptp.a))) % 6.93/7.18 (define @t175 () (= @t32 (tptp.multiply tptp.identity @t32))) % 6.93/7.18 (define @t176 () (= @t58 (tptp.multiply tptp.identity @t58))) % 6.93/7.18 (define @t177 () (tptp.multiply @t45 @t83)) % 6.93/7.18 (define @t178 () (tptp.multiply @t140 @t44)) % 6.93/7.18 (define @t179 () (= @t178 @t177)) % 6.93/7.18 (define @t180 () (tptp.multiply @t45 @t84)) % 6.93/7.18 (define @t181 () (tptp.multiply @t140 @t58)) % 6.93/7.18 (define @t182 () (= @t181 @t180)) % 6.93/7.18 (define @t183 () (tptp.multiply @t45 @t81)) % 6.93/7.18 (define @t184 () (tptp.multiply @t140 @t32)) % 6.93/7.18 (define @t185 () (= @t184 @t183)) % 6.93/7.18 (define @t186 () (tptp.greatest_lower_bound @t63 @t64)) % 6.93/7.18 (define @t187 () (= @t169 @t186)) % 6.93/7.18 (define @t188 () (tptp.least_upper_bound @t65 @t54)) % 6.93/7.18 (define @t189 () (= @t159 @t188)) % 6.93/7.18 (define @t190 () (tptp.greatest_lower_bound @t41 @t32)) % 6.93/7.18 (define @t191 () (tptp.greatest_lower_bound @t190 @t54)) % 6.93/7.18 (define @t192 () (= (tptp.greatest_lower_bound @t41 @t156) @t191)) % 6.93/7.18 (define @t193 () (tptp.greatest_lower_bound @t77 @t63)) % 6.93/7.18 (define @t194 () (tptp.greatest_lower_bound @t48 @t169)) % 6.93/7.18 (define @t195 () (= @t194 @t193)) % 6.93/7.18 (define @t196 () (tptp.greatest_lower_bound @t171 @t66)) % 6.93/7.18 (define @t197 () (= (tptp.greatest_lower_bound @t58 (tptp.greatest_lower_bound @t67 @t66)) @t196)) % 6.93/7.18 (define @t198 () (tptp.least_upper_bound @t140 @t143)) % 6.93/7.18 (define @t199 () (tptp.multiply @t45 @t82)) % 6.93/7.18 (define @t200 () (= @t199 @t198)) % 6.93/7.18 (define @t201 () (tptp.greatest_lower_bound @t80 @t79)) % 6.93/7.18 (define @t202 () (tptp.multiply @t164 tptp.a)) % 6.93/7.18 (define @t203 () (= @t202 @t201)) % 6.93/7.18 (define @t204 () (tptp.greatest_lower_bound @t64 @t78)) % 6.93/7.18 (define @t205 () (= (tptp.multiply @t105 @t42) @t204)) % 6.93/7.18 (define @t206 () (= @t193 (tptp.greatest_lower_bound @t63 @t77))) % 6.93/7.18 (define @t207 () (= @t69 (tptp.least_upper_bound @t68 tptp.a))) % 6.93/7.18 (define @t208 () (tptp.greatest_lower_bound @t186 @t78)) % 6.93/7.18 (define @t209 () (= (tptp.greatest_lower_bound @t63 @t204) @t208)) % 6.93/7.18 (define @t210 () (tptp.greatest_lower_bound @t201 @t32)) % 6.93/7.18 (define @t211 () (tptp.greatest_lower_bound @t80 @t85)) % 6.93/7.18 (define @t212 () (= @t211 @t210)) % 6.93/7.18 (define @t213 () (tptp.greatest_lower_bound @t87 @t86)) % 6.93/7.18 (define @t214 () (= (tptp.multiply @t46 @t201) @t213)) % 6.93/7.18 (define @t215 () (tptp.greatest_lower_bound @t199 @t183)) % 6.93/7.18 (define @t216 () (tptp.multiply @t45 (tptp.greatest_lower_bound @t82 @t81))) % 6.93/7.18 (define @t217 () (= @t216 @t215)) % 6.93/7.18 (define @t218 () (tptp.greatest_lower_bound @t180 @t177)) % 6.93/7.18 (define @t219 () (tptp.multiply @t45 (tptp.greatest_lower_bound @t84 @t83))) % 6.93/7.18 (define @t220 () (= @t219 @t218)) % 6.93/7.18 (define @t221 () (= @t80 (tptp.multiply tptp.identity @t80))) % 6.93/7.18 (define @t222 () (= @t211 (tptp.greatest_lower_bound @t85 @t80))) % 6.93/7.18 (define @t223 () (tptp.greatest_lower_bound @t54 @t87)) % 6.93/7.18 (define @t224 () (tptp.greatest_lower_bound @t223 @t86)) % 6.93/7.18 (define @t225 () (= (tptp.greatest_lower_bound @t54 @t213) @t224)) % 6.93/7.18 (define @t226 () (tptp.greatest_lower_bound @t54 tptp.a)) % 6.93/7.18 (define @t227 () (tptp.least_upper_bound @t54 @t226)) % 6.93/7.18 (define @t228 () (= @t54 @t227)) % 6.93/7.18 (define @t229 () (= tptp.identity @t33)) % 6.93/7.18 (define @t230 () (and @t88 @t89 @t91 @t93 @t94 @t95 @t96 @t98 @t100 @t102 @t104 @t106 @t107 @t108 @t111 @t112 @t114 @t116 @t119 @t120 @t123 @t125 @t127 @t130 @t133 @t136 @t137 @t138 @t139 @t142 @t145 @t51 @t147 @t149 @t151 @t152 @t155 @t157 @t158 @t160 @t163 @t165 @t168 @t170 @t173 @t174 @t175 @t176 @t179 @t182 @t185 @t187 @t189 @t192 @t195 @t197 @t73 @t200 @t203 @t205 @t206 @t207 @t209 @t212 @t214 @t217 @t220 @t221 @t222 @t225 @t228)) % 6.93/7.18 (assume @p1 @t4) % 6.93/7.18 (assume @p2 @t7) % 6.93/7.18 (assume @p3 @t12) % 6.93/7.18 (assume @p4 (forall @t14 (= @t13 (tptp.greatest_lower_bound @t9 @t1)))) % 6.93/7.18 (assume @p5 (forall @t14 (= @t15 (tptp.least_upper_bound @t9 @t1)))) % 6.93/7.18 (assume @p6 (forall @t11 (= (tptp.greatest_lower_bound @t1 @t16) (tptp.greatest_lower_bound @t13 @t8)))) % 6.93/7.18 (assume @p7 @t18) % 6.93/7.18 (assume @p8 (forall @t3 (= (tptp.least_upper_bound @t1 @t1) @t1))) % 6.93/7.18 (assume @p9 (forall @t3 (= (tptp.greatest_lower_bound @t1 @t1) @t1))) % 6.93/7.18 (assume @p10 @t20) % 6.93/7.18 (assume @p11 @t22) % 6.93/7.18 (assume @p12 (forall @t11 (= (tptp.multiply @t1 @t17) (tptp.least_upper_bound @t10 @t23)))) % 6.93/7.18 (assume @p13 (forall @t11 (= (tptp.multiply @t1 @t16) (tptp.greatest_lower_bound @t10 @t23)))) % 6.93/7.18 (assume @p14 (forall @t26 (= (tptp.multiply @t17 @t1) (tptp.least_upper_bound @t25 @t24)))) % 6.93/7.18 (assume @p15 (forall @t26 (= (tptp.multiply @t16 @t1) (tptp.greatest_lower_bound @t25 @t24)))) % 6.93/7.18 (assume @p16 (= @t27 tptp.identity)) % 6.93/7.18 (assume @p17 @t29) % 6.93/7.18 (assume @p18 (forall @t14 (= (tptp.inverse @t10) (tptp.multiply (tptp.inverse @t9) @t5)))) % 6.93/7.18 (assume @p19 (not (= @t33 tptp.identity))) % 6.93/7.18 (step @p20 :rule symm :premises (@p16)) % 6.93/7.18 (step @p21 :rule symm :premises (@p19)) % 6.93/7.18 (step @p22 :rule eq-symm :args (@t6 tptp.identity)) % 6.93/7.18 (step @p23 :rule cong :premises (@p22) :args (@t7)) % 6.93/7.18 (step @p24 :rule eq_resolve :premises (@p2 @p23)) % 6.93/7.18 (step @p25 :rule instantiate :premises (@p24) :args ((@list tptp.identity))) % 6.93/7.18 (step @p26 :rule instantiate :premises (@p24) :args (@t34)) % 6.93/7.18 (step @p27 :rule instantiate :premises (@p4) :args (@t35)) % 6.93/7.18 (step @p28 :rule instantiate :premises (@p4) :args (@t36)) % 6.93/7.18 (step @p29 :rule instantiate :premises (@p5) :args (@t35)) % 6.93/7.18 (step @p30 :rule eq-symm :args (@t19 @t1)) % 6.93/7.18 (step @p31 :rule cong :premises (@p30) :args (@t20)) % 6.93/7.18 (step @p32 :rule eq_resolve :premises (@p10 @p31)) % 6.93/7.18 (step @p33 :rule instantiate :premises (@p32) :args (@t35)) % 6.93/7.18 (step @p34 :rule instantiate :premises (@p32) :args (@t36)) % 6.93/7.18 (step @p35 :rule eq-symm :args (@t21 @t1)) % 6.93/7.18 (step @p36 :rule cong :premises (@p35) :args (@t22)) % 6.93/7.18 (step @p37 :rule eq_resolve :premises (@p11 @p36)) % 6.93/7.18 (step @p38 :rule instantiate :premises (@p37) :args (@t35)) % 6.93/7.18 (step @p39 :rule instantiate :premises (@p5) :args (@t37)) % 6.93/7.18 (step @p40 :rule instantiate :premises (@p37) :args ((@list tptp.identity tptp.a))) % 6.93/7.18 (step @p41 :rule instantiate :premises (@p37) :args ((@list tptp.a @t30))) % 6.93/7.18 (step @p42 :rule instantiate :premises (@p37) :args (@t37)) % 6.93/7.18 (step @p43 :rule instantiate :premises (@p13) :args ((@list @t31 tptp.a tptp.identity))) % 6.93/7.18 (step @p44 :rule instantiate :premises (@p18) :args ((@list @t31 @t30))) % 6.93/7.18 (step @p45 :rule eq-symm :args (@t2 @t1)) % 6.93/7.18 (step @p46 :rule cong :premises (@p45) :args (@t4)) % 6.93/7.18 (step @p47 :rule eq_resolve :premises (@p1 @p46)) % 6.93/7.18 (step @p48 :rule instantiate :premises (@p47) :args (@t38)) % 6.93/7.18 (step @p49 :rule instantiate :premises (@p24) :args (@t38)) % 6.93/7.18 (step @p50 :rule instantiate :premises (@p3) :args ((@list @t31 @t39 @t31))) % 6.93/7.18 (step @p51 :rule instantiate :premises (@p3) :args ((@list @t31 @t31 @t39))) % 6.93/7.18 (step @p52 :rule instantiate :premises (@p4) :args ((@list tptp.identity @t40))) % 6.93/7.18 (step @p53 :rule instantiate :premises (@p6) :args ((@list @t31 @t32 @t32))) % 6.93/7.18 (step @p54 :rule instantiate :premises (@p6) :args ((@list @t32 @t42 @t41))) % 6.93/7.18 (step @p55 :rule instantiate :premises (@p32) :args ((@list @t42 @t41))) % 6.93/7.18 (step @p56 :rule instantiate :premises (@p13) :args ((@list @t31 tptp.a @t43))) % 6.93/7.18 (step @p57 :rule instantiate :premises (@p15) :args ((@list @t42 @t41 tptp.identity))) % 6.93/7.18 (step @p58 :rule instantiate :premises (@p15) :args ((@list @t42 @t41 @t31))) % 6.93/7.18 (step @p59 :rule eq-symm :args (@t28 @t1)) % 6.93/7.18 (step @p60 :rule cong :premises (@p59) :args (@t29)) % 6.93/7.18 (step @p61 :rule eq_resolve :premises (@p17 @p60)) % 6.93/7.18 (step @p62 :rule instantiate :premises (@p61) :args (@t34)) % 6.93/7.18 (step @p63 :rule instantiate :premises (@p47) :args ((@list @t44))) % 6.93/7.18 (step @p64 :rule instantiate :premises (@p47) :args ((@list @t42))) % 6.93/7.18 (step @p65 :rule instantiate :premises (@p3) :args ((@list @t45 @t39 @t30))) % 6.93/7.18 (step @p66 :rule instantiate :premises (@p3) :args ((@list @t45 @t39 tptp.a))) % 6.93/7.18 (step @p67 :rule eq-symm :args (@t47 @t48)) % 6.93/7.18 (step @p68 :rule refl :args (@t12)) % 6.93/7.18 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t12 @t49))) % 6.93/7.18 (assume-push @p476 @t12) % 6.93/7.18 (step @p71 :rule instantiate :premises (@p3) :args (@t50)) % 6.93/7.18 (step-pop @p477 :rule scope :premises (@p71)) % 6.93/7.18 (step @p72 :rule process_scope :premises (@p477) :args (@t49)) % 6.93/7.18 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 6.93/7.18 (step @p75 :rule implies_elim :premises (@p74)) % 6.93/7.18 (step @p76 :rule chain_m_resolution :premises (@p75 @p3) :args (@t51 @t52 (@list @t12))) % 6.93/7.18 (step @p77 :rule instantiate :premises (@p4) :args ((@list tptp.a @t42))) % 6.93/7.18 (step @p78 :rule instantiate :premises (@p4) :args (@t53)) % 6.93/7.18 (step @p79 :rule instantiate :premises (@p4) :args (@t55)) % 6.93/7.18 (step @p80 :rule instantiate :premises (@p5) :args ((@list @t42 @t56))) % 6.93/7.18 (step @p81 :rule instantiate :premises (@p6) :args ((@list @t58 @t57 @t32))) % 6.93/7.18 (step @p82 :rule instantiate :premises (@p6) :args ((@list @t32 @t32 @t42))) % 6.93/7.18 (step @p83 :rule instantiate :premises (@p32) :args (@t53)) % 6.93/7.18 (step @p84 :rule instantiate :premises (@p32) :args (@t55)) % 6.93/7.18 (step @p85 :rule instantiate :premises (@p13) :args ((@list @t30 @t42 @t59))) % 6.93/7.18 (step @p86 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.identity @t31))) % 6.93/7.18 (step @p87 :rule instantiate :premises (@p15) :args ((@list @t61 @t60 @t42))) % 6.93/7.18 (step @p88 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.identity @t42))) % 6.93/7.18 (step @p89 :rule instantiate :premises (@p15) :args ((@list @t42 @t59 @t31))) % 6.93/7.18 (step @p90 :rule instantiate :premises (@p47) :args ((@list tptp.a))) % 6.93/7.18 (step @p91 :rule instantiate :premises (@p47) :args ((@list @t32))) % 6.93/7.18 (step @p92 :rule instantiate :premises (@p47) :args ((@list @t58))) % 6.93/7.18 (step @p93 :rule instantiate :premises (@p3) :args ((@list @t45 @t62 @t44))) % 6.93/7.18 (step @p94 :rule instantiate :premises (@p3) :args ((@list @t45 @t62 @t58))) % 6.93/7.18 (step @p95 :rule instantiate :premises (@p3) :args ((@list @t45 @t62 @t32))) % 6.93/7.18 (step @p96 :rule instantiate :premises (@p4) :args ((@list @t64 @t63))) % 6.93/7.18 (step @p97 :rule instantiate :premises (@p5) :args ((@list @t54 @t65))) % 6.93/7.18 (step @p98 :rule instantiate :premises (@p6) :args ((@list @t41 @t32 @t54))) % 6.93/7.18 (step @p99 :rule instantiate :premises (@p6) :args ((@list @t48 @t64 @t63))) % 6.93/7.18 (step @p100 :rule instantiate :premises (@p6) :args ((@list @t58 @t67 @t66))) % 6.93/7.18 (step @p101 :rule eq-symm :args (@t69 @t70)) % 6.93/7.18 (step @p102 :rule refl :args (@t18)) % 6.93/7.18 (step @p103 :rule cong :premises (@p102 @p101) :args ((=> @t18 @t71))) % 6.93/7.18 (assume-push @p478 @t18) % 6.93/7.18 (step @p105 :rule instantiate :premises (@p7) :args (@t72)) % 6.93/7.18 (step-pop @p479 :rule scope :premises (@p105)) % 6.93/7.18 (step @p106 :rule process_scope :premises (@p479) :args (@t71)) % 6.93/7.18 (step @p108 :rule eq_resolve :premises (@p106 @p103)) % 6.93/7.18 (step @p109 :rule implies_elim :premises (@p108)) % 6.93/7.18 (step @p110 :rule chain_m_resolution :premises (@p109 @p7) :args (@t73 @t52 (@list @t18))) % 6.93/7.18 (step @p111 :rule instantiate :premises (@p12) :args ((@list @t45 @t62 @t74))) % 6.93/7.18 (step @p112 :rule instantiate :premises (@p15) :args ((@list @t76 @t75 tptp.a))) % 6.93/7.18 (step @p113 :rule instantiate :premises (@p15) :args ((@list tptp.a @t43 @t42))) % 6.93/7.18 (step @p114 :rule instantiate :premises (@p4) :args ((@list @t77 @t63))) % 6.93/7.18 (step @p115 :rule instantiate :premises (@p5) :args ((@list tptp.a @t68))) % 6.93/7.18 (step @p116 :rule instantiate :premises (@p6) :args ((@list @t63 @t64 @t78))) % 6.93/7.18 (step @p117 :rule instantiate :premises (@p6) :args ((@list @t80 @t79 @t32))) % 6.93/7.18 (step @p118 :rule instantiate :premises (@p13) :args ((@list @t46 @t80 @t79))) % 6.93/7.18 (step @p119 :rule instantiate :premises (@p13) :args ((@list @t45 @t82 @t81))) % 6.93/7.18 (step @p120 :rule instantiate :premises (@p13) :args ((@list @t45 @t84 @t83))) % 6.93/7.18 (step @p121 :rule instantiate :premises (@p47) :args ((@list @t80))) % 6.93/7.18 (step @p122 :rule instantiate :premises (@p4) :args ((@list @t80 @t85))) % 6.93/7.18 (step @p123 :rule instantiate :premises (@p6) :args ((@list @t54 @t87 @t86))) % 6.93/7.18 (step @p124 :rule instantiate :premises (@p32) :args ((@list @t54 tptp.a))) % 6.93/7.18 (assume-push @p480 @t88) % 6.93/7.18 (assume-push @p481 @t89) % 6.93/7.18 (assume-push @p482 @t91) % 6.93/7.18 (assume-push @p483 @t93) % 6.93/7.18 (assume-push @p484 @t94) % 6.93/7.18 (assume-push @p485 @t95) % 6.93/7.18 (assume-push @p486 @t96) % 6.93/7.18 (assume-push @p487 @t98) % 6.93/7.18 (assume-push @p488 @t100) % 6.93/7.18 (assume-push @p489 @t102) % 6.93/7.18 (assume-push @p490 @t104) % 6.93/7.18 (assume-push @p491 @t106) % 6.93/7.18 (assume-push @p492 @t107) % 6.93/7.18 (assume-push @p493 @t108) % 6.93/7.18 (assume-push @p494 @t111) % 6.93/7.18 (assume-push @p495 @t112) % 6.93/7.18 (assume-push @p496 @t114) % 6.93/7.18 (assume-push @p497 @t116) % 6.93/7.18 (assume-push @p498 @t119) % 6.93/7.18 (assume-push @p499 @t120) % 6.93/7.18 (assume-push @p500 @t123) % 6.93/7.18 (assume-push @p501 @t125) % 6.93/7.18 (assume-push @p502 @t127) % 6.93/7.18 (assume-push @p503 @t130) % 6.93/7.18 (assume-push @p504 @t133) % 6.93/7.18 (assume-push @p505 @t136) % 6.93/7.18 (assume-push @p506 @t137) % 6.93/7.18 (assume-push @p507 @t138) % 6.93/7.18 (assume-push @p508 @t139) % 6.93/7.18 (assume-push @p509 @t142) % 6.93/7.18 (assume-push @p510 @t145) % 6.93/7.18 (assume-push @p511 @t51) % 6.93/7.18 (assume-push @p512 @t147) % 6.93/7.18 (assume-push @p513 @t149) % 6.93/7.18 (assume-push @p514 @t151) % 6.93/7.18 (assume-push @p515 @t152) % 6.93/7.18 (assume-push @p516 @t155) % 6.93/7.18 (assume-push @p517 @t157) % 6.93/7.18 (assume-push @p518 @t158) % 6.93/7.18 (assume-push @p519 @t160) % 6.93/7.18 (assume-push @p520 @t163) % 6.93/7.18 (assume-push @p521 @t165) % 6.93/7.18 (assume-push @p522 @t168) % 6.93/7.18 (assume-push @p523 @t170) % 6.93/7.18 (assume-push @p524 @t173) % 6.93/7.18 (assume-push @p525 @t174) % 6.93/7.18 (assume-push @p526 @t175) % 6.93/7.18 (assume-push @p527 @t176) % 6.93/7.18 (assume-push @p528 @t179) % 6.93/7.18 (assume-push @p529 @t182) % 6.93/7.18 (assume-push @p530 @t185) % 6.93/7.18 (assume-push @p531 @t187) % 6.93/7.18 (assume-push @p532 @t189) % 6.93/7.18 (assume-push @p533 @t192) % 6.93/7.18 (assume-push @p534 @t195) % 6.93/7.18 (assume-push @p535 @t197) % 6.93/7.18 (assume-push @p536 @t73) % 6.93/7.18 (assume-push @p537 @t200) % 6.93/7.18 (assume-push @p538 @t203) % 6.93/7.18 (assume-push @p539 @t205) % 6.93/7.18 (assume-push @p540 @t206) % 6.93/7.18 (assume-push @p541 @t207) % 6.93/7.18 (assume-push @p542 @t209) % 6.93/7.18 (assume-push @p543 @t212) % 6.93/7.18 (assume-push @p544 @t214) % 6.93/7.18 (assume-push @p545 @t217) % 6.93/7.18 (assume-push @p546 @t220) % 6.93/7.18 (assume-push @p547 @t221) % 6.93/7.18 (assume-push @p548 @t222) % 6.93/7.18 (assume-push @p549 @t225) % 6.93/7.18 (assume-push @p550 @t228) % 6.93/7.18 (step @p196 :rule symm :premises (@p28)) % 6.93/7.18 (step @p197 :rule symm :premises (@p42)) % 6.93/7.18 (step @p198 :rule refl :args (@t32)) % 6.93/7.18 (step @p199 :rule cong :premises (@p198 @p34) :args (@t121)) % 6.93/7.18 (step @p200 :rule trans :premises (@p199 @p197)) % 6.93/7.18 (step @p201 :rule refl :args (@t31)) % 6.93/7.18 (step @p202 :rule cong :premises (@p201 @p200) :args (@t122)) % 6.93/7.18 (step @p203 :rule symm :premises (@p53)) % 6.93/7.18 (step @p204 :rule symm :premises (@p34)) % 6.93/7.18 (step @p205 :rule symm :premises (@p39)) % 6.93/7.18 (step @p206 :rule trans :premises (@p205 @p204)) % 6.93/7.18 (step @p207 :rule cong :premises (@p28 @p206) :args ((tptp.greatest_lower_bound @t33 @t101))) % 6.93/7.18 (step @p208 :rule symm :premises (@p83)) % 6.93/7.18 (step @p105 :rule instantiate :premises (@p7) :args (@t72)) % 6.93/7.18 (step @p209 :rule symm :premises (@p115)) % 6.93/7.18 (step @p210 :rule symm :premises (@p38)) % 6.93/7.18 (step @p211 :rule refl :args (@t54)) % 6.93/7.18 (step @p212 :rule symm :premises (@p40)) % 6.93/7.18 (step @p213 :rule symm :premises (@p52)) % 6.93/7.18 (step @p214 :rule refl :args (tptp.identity)) % 6.93/7.18 (step @p215 :rule cong :premises (@p29 @p214) :args ((tptp.greatest_lower_bound @t32 tptp.identity))) % 6.93/7.18 (step @p216 :rule symm :premises (@p26)) % 6.93/7.18 (step @p217 :rule symm :premises (@p43)) % 6.93/7.18 (step @p218 :rule trans :premises (@p217 @p216)) % 6.93/7.18 (step @p219 :rule cong :premises (@p198 @p218) :args (@t124)) % 6.93/7.18 (step @p220 :rule symm :premises (@p54)) % 6.93/7.18 (step @p221 :rule trans :premises (@p220 @p219 @p215 @p213 @p212)) % 6.93/7.18 (step @p222 :rule cong :premises (@p221 @p211) :args (@t188)) % 6.93/7.18 (step @p223 :rule trans :premises (@p84 @p97 @p222)) % 6.93/7.18 (step @p224 :rule cong :premises (@p223 @p210) :args ((tptp.least_upper_bound @t54 @t99))) % 6.93/7.18 (step @p225 :rule symm :premises (@p90)) % 6.93/7.18 (step @p226 :rule refl :args (tptp.a)) % 6.93/7.18 (step @p227 :rule symm :premises (@p49)) % 6.93/7.18 (step @p228 :rule symm :premises (@p27)) % 6.93/7.18 (step @p229 :rule trans :premises (@p228 @p62)) % 6.93/7.18 (step @p230 :rule cong :premises (@p229 @p201) :args ((tptp.multiply @t92 @t31))) % 6.93/7.18 (step @p231 :rule cong :premises (@p27 @p201) :args (@t46)) % 6.93/7.18 (step @p232 :rule trans :premises (@p231 @p230 @p227 @p20)) % 6.93/7.18 (step @p233 :rule trans :premises (@p232 @p16)) % 6.93/7.18 (step @p234 :rule cong :premises (@p233 @p226) :args (@t47)) % 6.93/7.18 (step @p235 :rule symm :premises (@p41)) % 6.93/7.18 (step @p236 :rule cong :premises (@p201 @p235) :args (@t129)) % 6.93/7.18 (step @p237 :rule symm :premises (@p56)) % 6.93/7.18 (step @p238 :rule trans :premises (@p237 @p236)) % 6.93/7.18 (step @p239 :rule refl :args (@t30)) % 6.93/7.18 (step @p240 :rule cong :premises (@p239 @p238) :args (@t162)) % 6.93/7.18 (step @p241 :rule symm :premises (@p85)) % 6.93/7.18 (step @p242 :rule cong :premises (@p201 @p33) :args (@t42)) % 6.93/7.18 (step @p243 :rule cong :premises (@p239 @p242) :args (@t48)) % 6.93/7.18 (step @p244 :rule symm :premises (@p88)) % 6.93/7.18 (step @p245 :rule trans :premises (@p244 @p243)) % 6.93/7.18 (step @p246 :rule refl :args (@t48)) % 6.93/7.18 (step @p247 :rule cong :premises (@p246 @p245) :args (@t194)) % 6.93/7.18 (step @p248 :rule symm :premises (@p99)) % 6.93/7.18 (step @p249 :rule 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% 6.93/7.18 (step-pop @p615 :rule scope :premises (@p614)) % 6.93/7.18 (step-pop @p616 :rule scope :premises (@p615)) % 6.93/7.18 (step-pop @p617 :rule scope :premises (@p616)) % 6.93/7.18 (step-pop @p618 :rule scope :premises (@p617)) % 6.93/7.18 (step-pop @p619 :rule scope :premises (@p618)) % 6.93/7.18 (step-pop @p620 :rule scope :premises (@p619)) % 6.93/7.18 (step-pop @p621 :rule scope :premises (@p620)) % 6.93/7.18 (step @p399 :rule process_scope :premises (@p621) :args (@t229)) % 6.93/7.18 (step @p471 :rule implies_elim :premises (@p399)) % 6.93/7.18 (step @p472 :rule cnf_and_neg :args (@t230)) % 6.93/7.18 (step @p473 :rule resolution :premises (@p472 @p471) :args (true @t230)) % 6.93/7.18 (step @p474 :rule reordering :premises (@p473) :args ((or @t229 (not @t88) (not @t89) (not @t91) (not @t93) (not @t94) (not @t95) (not @t96) (not @t98) (not @t100) (not @t102) (not @t104) (not @t106) (not @t107) (not @t108) (not @t111) (not @t112) (not @t114) (not @t116) (not @t119) (not @t120) (not @t123) (not @t125) (not @t127) (not @t130) (not @t133) (not @t136) (not @t137) (not @t138) (not @t139) (not @t142) (not @t145) (not @t51) (not @t147) (not @t149) (not @t151) (not @t152) (not @t155) (not @t157) (not @t158) (not @t160) (not @t163) (not @t165) (not @t168) (not @t170) (not @t173) (not @t174) (not @t175) (not @t176) (not @t179) (not @t182) (not @t185) (not @t187) (not @t189) (not @t192) (not @t195) (not @t197) (not @t73) (not @t200) (not @t203) (not @t205) (not @t206) (not @t207) (not @t209) (not @t212) (not @t214) (not @t217) (not @t220) (not @t221) (not @t222) (not @t225) (not @t228)))) % 6.93/7.18 (step @p475 false :rule chain_m_resolution :premises (@p474 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p100 @p99 @p98 @p97 @p96 @p95 @p94 @p93 @p92 @p91 @p90 @p89 @p88 @p87 @p86 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p66 @p65 @p64 @p63 @p62 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p34 @p33 @p29 @p28 @p27 @p26 @p25 @p21 @p20) :args (false (@list false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false false true false) (@list @t228 @t225 @t222 @t221 @t220 @t217 @t214 @t212 @t209 @t207 @t206 @t205 @t203 @t200 @t73 @t197 @t195 @t192 @t189 @t187 @t185 @t182 @t179 @t176 @t175 @t174 @t173 @t170 @t168 @t165 @t163 @t160 @t158 @t157 @t155 @t152 @t151 @t149 @t147 @t51 @t145 @t142 @t139 @t138 @t137 @t136 @t133 @t130 @t127 @t125 @t123 @t120 @t119 @t116 @t114 @t112 @t111 @t108 @t107 @t106 @t104 @t102 @t100 @t98 @t96 @t95 @t94 @t93 @t91 @t89 @t229 @t88))) % 6.93/7.18 ) % 0.17/7.21 % SZS output end Proof % 0.17/7.21 % cvc5 exiting %------------------------------------------------------------------------------