%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT241-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 08:29:58 AM UTC 2026 % Result : Unsatisfiable 2.11s 2.34s % Output : Proof 2.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT241-1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n001.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 06:06:35 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.11/2.34 % SZS status Unsatisfiable % 2.11/2.34 % SZS output start Proof % 2.11/2.38 ( % 2.11/2.38 (declare-sort $$unsorted 0) % 2.11/2.38 (declare-const tptp.b $$unsorted) % 2.11/2.38 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 2.11/2.38 (declare-const tptp.one $$unsorted) % 2.11/2.38 (declare-const tptp.zero $$unsorted) % 2.11/2.38 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 2.11/2.38 (declare-const tptp.a $$unsorted) % 2.11/2.38 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 2.11/2.38 (define @t1 () (@var "X" $$unsorted)) % 2.11/2.38 (define @t2 () (tptp.meet @t1 @t1)) % 2.11/2.38 (define @t3 () (@list @t1)) % 2.11/2.38 (define @t4 () (forall @t3 (= @t2 @t1))) % 2.11/2.38 (define @t5 () (tptp.join @t1 @t1)) % 2.11/2.38 (define @t6 () (forall @t3 (= @t5 @t1))) % 2.11/2.38 (define @t7 () (@var "Y" $$unsorted)) % 2.11/2.38 (define @t8 () (tptp.join @t1 @t7)) % 2.11/2.38 (define @t9 () (tptp.meet @t1 @t8)) % 2.11/2.38 (define @t10 () (@list @t1 @t7)) % 2.11/2.38 (define @t11 () (forall @t10 (= @t9 @t1))) % 2.11/2.38 (define @t12 () (tptp.meet @t1 @t7)) % 2.11/2.38 (define @t13 () (tptp.join @t1 @t12)) % 2.11/2.38 (define @t14 () (forall @t10 (= @t13 @t1))) % 2.11/2.38 (define @t15 () (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 2.11/2.38 (define @t16 () (@var "Z" $$unsorted)) % 2.11/2.38 (define @t17 () (@list @t1 @t7 @t16)) % 2.11/2.38 (define @t18 () (forall @t17 (= (tptp.join @t8 @t16) (tptp.join @t1 (tptp.join @t7 @t16))))) % 2.11/2.38 (define @t19 () (tptp.complement @t1)) % 2.11/2.38 (define @t20 () (tptp.join @t1 @t19)) % 2.11/2.38 (define @t21 () (forall @t3 (= @t20 tptp.one))) % 2.11/2.38 (define @t22 () (tptp.meet @t1 @t19)) % 2.11/2.38 (define @t23 () (forall @t3 (= @t22 tptp.zero))) % 2.11/2.38 (define @t24 () (not (= @t8 tptp.one))) % 2.11/2.38 (define @t25 () (not (= @t12 tptp.zero))) % 2.11/2.38 (define @t26 () (or @t25 @t24 (= @t19 @t7))) % 2.11/2.38 (define @t27 () (forall @t10 @t26)) % 2.11/2.38 (define @t28 () (@var "U" $$unsorted)) % 2.11/2.38 (define @t29 () (tptp.meet tptp.b tptp.a)) % 2.11/2.38 (define @t30 () (tptp.complement tptp.a)) % 2.11/2.38 (define @t31 () (tptp.complement tptp.b)) % 2.11/2.38 (define @t32 () (tptp.join @t31 @t30)) % 2.11/2.38 (define @t33 () (@list @t31 @t30)) % 2.11/2.38 (define @t34 () (@list tptp.b tptp.a)) % 2.11/2.38 (define @t35 () (@list tptp.b)) % 2.11/2.38 (define @t36 () (@list tptp.a)) % 2.11/2.38 (define @t37 () (@list tptp.a @t30)) % 2.11/2.38 (define @t38 () (@list @t30 @t31)) % 2.11/2.38 (define @t39 () (@list @t31 @t32)) % 2.11/2.38 (define @t40 () (@list tptp.b @t31)) % 2.11/2.38 (define @t41 () (@list @t31)) % 2.11/2.38 (define @t42 () (@list @t30 tptp.a)) % 2.11/2.38 (define @t43 () (@list @t31 tptp.b)) % 2.11/2.38 (define @t44 () (tptp.join @t30 @t31)) % 2.11/2.38 (define @t45 () (@list @t30 @t44)) % 2.11/2.38 (define @t46 () (tptp.join tptp.a @t30)) % 2.11/2.38 (define @t47 () (tptp.meet tptp.a @t30)) % 2.11/2.38 (define @t48 () (@list @t29 @t31)) % 2.11/2.38 (define @t49 () (tptp.meet @t31 @t30)) % 2.11/2.38 (define @t50 () (tptp.meet @t31 @t32)) % 2.11/2.38 (define @t51 () (tptp.complement @t31)) % 2.11/2.38 (define @t52 () (tptp.meet tptp.b @t31)) % 2.11/2.38 (define @t53 () (= tptp.b @t51)) % 2.11/2.38 (define @t54 () (tptp.join @t31 tptp.b)) % 2.11/2.38 (define @t55 () (not (= @t54 tptp.one))) % 2.11/2.38 (define @t56 () (tptp.meet @t31 tptp.b)) % 2.11/2.38 (define @t57 () (not (= @t56 tptp.zero))) % 2.11/2.38 (define @t58 () (or @t57 @t55 @t53)) % 2.11/2.38 (define @t59 () (forall @t10 (or @t25 @t24 (= @t7 @t19)))) % 2.11/2.38 (define @t60 () (= tptp.one @t54)) % 2.11/2.38 (define @t61 () (not @t60)) % 2.11/2.38 (define @t62 () (= tptp.zero @t56)) % 2.11/2.38 (define @t63 () (not @t62)) % 2.11/2.38 (define @t64 () (or @t63 @t61 @t53)) % 2.11/2.38 (define @t65 () (@list false)) % 2.11/2.38 (define @t66 () (@list @t59)) % 2.11/2.38 (define @t67 () (@list false false false)) % 2.11/2.38 (define @t68 () (tptp.meet @t30 @t50)) % 2.11/2.38 (define @t69 () (tptp.meet @t30 @t30)) % 2.11/2.38 (define @t70 () (@list @t52 @t30)) % 2.11/2.38 (define @t71 () (tptp.join tptp.b @t46)) % 2.11/2.38 (define @t72 () (tptp.meet @t31 @t31)) % 2.11/2.38 (define @t73 () (tptp.join @t72 @t49)) % 2.11/2.38 (define @t74 () (tptp.meet @t31 @t73)) % 2.11/2.38 (define @t75 () (tptp.meet @t30 @t31)) % 2.11/2.38 (define @t76 () (tptp.join @t75 @t74)) % 2.11/2.38 (define @t77 () (tptp.join @t29 @t76)) % 2.11/2.38 (define @t78 () (@list @t30 @t77)) % 2.11/2.38 (define @t79 () (tptp.meet @t30 tptp.a)) % 2.11/2.38 (define @t80 () (@list @t30 @t75)) % 2.11/2.38 (define @t81 () (tptp.meet tptp.a @t51)) % 2.11/2.38 (define @t82 () (tptp.meet @t31 tptp.a)) % 2.11/2.38 (define @t83 () (tptp.meet @t52 @t30)) % 2.11/2.38 (define @t84 () (tptp.meet @t31 @t52)) % 2.11/2.38 (define @t85 () (tptp.join tptp.b @t76)) % 2.11/2.38 (define @t86 () (tptp.join @t84 @t83)) % 2.11/2.38 (define @t87 () (tptp.join tptp.b @t86)) % 2.11/2.38 (define @t88 () (tptp.meet tptp.a @t71)) % 2.11/2.38 (define @t89 () (tptp.join @t29 @t88)) % 2.11/2.38 (define @t90 () (tptp.meet @t31 @t51)) % 2.11/2.38 (define @t91 () (tptp.join @t49 @t68)) % 2.11/2.38 (define @t92 () (@list @t32)) % 2.11/2.38 (define @t93 () (tptp.join @t82 @t81)) % 2.11/2.38 (define @t94 () (tptp.join tptp.b @t72)) % 2.11/2.38 (define @t95 () (tptp.meet @t31 @t93)) % 2.11/2.38 (define @t96 () (tptp.join @t75 @t95)) % 2.11/2.38 (define @t97 () (tptp.join @t75 @t96)) % 2.11/2.38 (define @t98 () (tptp.join tptp.b @t31)) % 2.11/2.38 (define @t99 () (tptp.complement @t32)) % 2.11/2.38 (define @t100 () (tptp.meet @t30 @t77)) % 2.11/2.38 (define @t101 () (tptp.join @t30 @t93)) % 2.11/2.38 (define @t102 () (tptp.join @t52 @t49)) % 2.11/2.38 (define @t103 () (tptp.join @t30 @t99)) % 2.11/2.38 (define @t104 () (tptp.join @t99 @t30)) % 2.11/2.38 (define @t105 () (= @t103 @t104)) % 2.11/2.38 (define @t106 () (@list @t30 @t99)) % 2.11/2.38 (define @t107 () (= @t104 @t103)) % 2.11/2.38 (define @t108 () (tptp.meet @t30 @t91)) % 2.11/2.38 (define @t109 () (tptp.join @t29 @t31)) % 2.11/2.38 (define @t110 () (tptp.join @t109 @t31)) % 2.11/2.38 (define @t111 () (tptp.meet @t110 @t30)) % 2.11/2.38 (define @t112 () (tptp.join @t96 @t96)) % 2.11/2.38 (define @t113 () (tptp.join @t96 @t100)) % 2.11/2.38 (define @t114 () (tptp.complement @t99)) % 2.11/2.38 (define @t115 () (= @t30 @t114)) % 2.11/2.38 (define @t116 () (not (= @t104 tptp.one))) % 2.11/2.38 (define @t117 () (tptp.meet @t99 @t30)) % 2.11/2.38 (define @t118 () (not (= @t117 tptp.zero))) % 2.11/2.38 (define @t119 () (or @t118 @t116 @t115)) % 2.11/2.38 (define @t120 () (@list @t99 @t30)) % 2.11/2.38 (define @t121 () (= tptp.one @t104)) % 2.11/2.38 (define @t122 () (not @t121)) % 2.11/2.38 (define @t123 () (= tptp.zero @t117)) % 2.11/2.38 (define @t124 () (not @t123)) % 2.11/2.38 (define @t125 () (or @t124 @t122 @t115)) % 2.11/2.38 (define @t126 () (= @t32 @t44)) % 2.11/2.38 (define @t127 () (= tptp.zero @t52)) % 2.11/2.38 (define @t128 () (= tptp.zero @t47)) % 2.11/2.38 (define @t129 () (tptp.meet @t30 @t44)) % 2.11/2.38 (define @t130 () (= @t30 @t129)) % 2.11/2.38 (define @t131 () (= @t47 @t79)) % 2.11/2.38 (define @t132 () (tptp.join @t30 @t79)) % 2.11/2.38 (define @t133 () (= @t30 @t132)) % 2.11/2.38 (define @t134 () (tptp.meet @t30 @t52)) % 2.11/2.38 (define @t135 () (= @t83 @t134)) % 2.11/2.38 (define @t136 () (= @t132 (tptp.join @t79 @t30))) % 2.11/2.38 (define @t137 () (tptp.meet @t32 @t99)) % 2.11/2.38 (define @t138 () (= tptp.zero @t137)) % 2.11/2.38 (define @t139 () (tptp.join @t52 @t30)) % 2.11/2.38 (define @t140 () (tptp.meet @t52 @t139)) % 2.11/2.38 (define @t141 () (= @t52 @t140)) % 2.11/2.38 (define @t142 () (tptp.meet @t30 @t32)) % 2.11/2.38 (define @t143 () (tptp.meet @t142 @t99)) % 2.11/2.38 (define @t144 () (= @t143 (tptp.meet @t30 @t137))) % 2.11/2.38 (define @t145 () (tptp.meet @t30 @t99)) % 2.11/2.38 (define @t146 () (= @t117 @t145)) % 2.11/2.38 (define @t147 () (and @t126 @t127 @t128 @t130 @t131 @t133 @t135 @t136 @t138 @t141 @t144 @t146)) % 2.11/2.38 (define @t148 () (not @t141)) % 2.11/2.38 (define @t149 () (not @t136)) % 2.11/2.38 (define @t150 () (not @t133)) % 2.11/2.38 (define @t151 () (not @t131)) % 2.11/2.38 (define @t152 () (not @t130)) % 2.11/2.38 (define @t153 () (not @t128)) % 2.11/2.38 (define @t154 () (not @t127)) % 2.11/2.38 (define @t155 () (not @t126)) % 2.11/2.38 (define @t156 () (= @t32 @t114)) % 2.11/2.38 (define @t157 () (tptp.join @t99 @t32)) % 2.11/2.38 (define @t158 () (not (= @t157 tptp.one))) % 2.11/2.38 (define @t159 () (tptp.meet @t99 @t32)) % 2.11/2.38 (define @t160 () (not (= @t159 tptp.zero))) % 2.11/2.38 (define @t161 () (or @t160 @t158 @t156)) % 2.11/2.38 (define @t162 () (= tptp.one @t157)) % 2.11/2.38 (define @t163 () (not @t162)) % 2.11/2.38 (define @t164 () (= tptp.zero @t159)) % 2.11/2.38 (define @t165 () (not @t164)) % 2.11/2.38 (define @t166 () (or @t165 @t163 @t156)) % 2.11/2.38 (define @t167 () (@list @t32 @t99)) % 2.11/2.38 (define @t168 () (tptp.join @t142 @t99)) % 2.11/2.38 (define @t169 () (= tptp.one @t168)) % 2.11/2.38 (define @t170 () (not @t169)) % 2.11/2.38 (define @t171 () (not @t107)) % 2.11/2.38 (define @t172 () (and @t126 @t130 @t107 @t122)) % 2.11/2.38 (define @t173 () (tptp.join @t112 @t103)) % 2.11/2.38 (define @t174 () (tptp.join @t111 @t49)) % 2.11/2.38 (define @t175 () (tptp.join @t75 @t52)) % 2.11/2.38 (define @t176 () (tptp.join @t30 @t73)) % 2.11/2.38 (define @t177 () (tptp.meet @t176 @t31)) % 2.11/2.38 (define @t178 () (tptp.meet @t75 @t176)) % 2.11/2.38 (define @t179 () (tptp.join @t178 @t177)) % 2.11/2.38 (define @t180 () (tptp.join @t98 @t179)) % 2.11/2.38 (define @t181 () (tptp.meet @t180 @t175)) % 2.11/2.38 (define @t182 () (tptp.join tptp.b @t181)) % 2.11/2.38 (define @t183 () (not (= @t182 tptp.one))) % 2.11/2.38 (define @t184 () (tptp.meet tptp.b @t181)) % 2.11/2.38 (define @t185 () (not (= @t184 tptp.zero))) % 2.11/2.38 (define @t186 () (or @t185 @t183 (= @t181 @t31))) % 2.11/2.38 (define @t187 () (= @t31 @t181)) % 2.11/2.38 (define @t188 () (= tptp.one @t182)) % 2.11/2.38 (define @t189 () (not @t188)) % 2.11/2.38 (define @t190 () (= tptp.zero @t184)) % 2.11/2.38 (define @t191 () (not @t190)) % 2.11/2.38 (define @t192 () (or @t191 @t189 @t187)) % 2.11/2.38 (define @t193 () (tptp.join @t75 @t79)) % 2.11/2.38 (define @t194 () (tptp.join @t30 @t129)) % 2.11/2.38 (define @t195 () (tptp.meet @t52 @t194)) % 2.11/2.38 (define @t196 () (tptp.meet tptp.b @t50)) % 2.11/2.38 (define @t197 () (tptp.meet @t52 @t32)) % 2.11/2.38 (define @t198 () (tptp.join tptp.b @t197)) % 2.11/2.38 (define @t199 () (tptp.meet @t31 @t198)) % 2.11/2.38 (define @t200 () (tptp.meet @t72 @t87)) % 2.11/2.38 (define @t201 () (tptp.join @t83 @t84)) % 2.11/2.38 (define @t202 () (tptp.join @t75 @t201)) % 2.11/2.38 (define @t203 () (tptp.join @t75 @t83)) % 2.11/2.38 (define @t204 () (tptp.join @t203 @t84)) % 2.11/2.38 (define @t205 () (tptp.meet @t180 @t204)) % 2.11/2.38 (define @t206 () (tptp.join @t47 @t29)) % 2.11/2.38 (define @t207 () (tptp.meet @t46 @t29)) % 2.11/2.38 (define @t208 () (tptp.meet tptp.a @t46)) % 2.11/2.38 (define @t209 () (tptp.meet @t30 @t208)) % 2.11/2.38 (define @t210 () (tptp.meet @t79 @t46)) % 2.11/2.38 (define @t211 () (tptp.join @t210 @t207)) % 2.11/2.38 (define @t212 () (tptp.join @t47 @t211)) % 2.11/2.38 (define @t213 () (tptp.meet @t56 @t89)) % 2.11/2.38 (define @t214 () (tptp.join @t29 @t29)) % 2.11/2.38 (define @t215 () (tptp.meet tptp.a tptp.b)) % 2.11/2.38 (define @t216 () (tptp.join tptp.a @t215)) % 2.11/2.38 (define @t217 () (tptp.join tptp.a @t197)) % 2.11/2.38 (define @t218 () (tptp.meet @t31 @t217)) % 2.11/2.38 (define @t219 () (tptp.join @t81 @t82)) % 2.11/2.38 (define @t220 () (tptp.join @t91 @t52)) % 2.11/2.38 (define @t221 () (tptp.join @t49 @t52)) % 2.11/2.38 (define @t222 () (tptp.join @t96 @t30)) % 2.11/2.38 (define @t223 () (tptp.join @t30 @t193)) % 2.11/2.38 (define @t224 () (tptp.join @t91 @t95)) % 2.11/2.38 (define @t225 () (tptp.meet @t97 @t30)) % 2.11/2.38 (define @t226 () (tptp.join @t30 tptp.a)) % 2.11/2.38 (define @t227 () (tptp.join tptp.b @t50)) % 2.11/2.38 (define @t228 () (tptp.meet @t31 @t227)) % 2.11/2.38 (define @t229 () (tptp.meet @t31 @t54)) % 2.11/2.38 (define @t230 () (tptp.join @t49 @t50)) % 2.11/2.38 (define @t231 () (tptp.join @t49 @t31)) % 2.11/2.38 (define @t232 () (tptp.meet @t50 @t30)) % 2.11/2.38 (define @t233 () (tptp.meet @t32 @t30)) % 2.11/2.38 (define @t234 () (tptp.meet @t31 @t233)) % 2.11/2.38 (define @t235 () (tptp.join @t31 @t49)) % 2.11/2.38 (define @t236 () (tptp.meet @t32 @t31)) % 2.11/2.38 (define @t237 () (tptp.meet @t49 @t44)) % 2.11/2.38 (define @t238 () (tptp.join @t98 @t50)) % 2.11/2.38 (define @t239 () (tptp.meet @t94 @t49)) % 2.11/2.38 (define @t240 () (tptp.meet @t75 @t180)) % 2.11/2.38 (define @t241 () (tptp.meet @t49 @t85)) % 2.11/2.38 (define @t242 () (tptp.join @t30 @t50)) % 2.11/2.38 (define @t243 () (tptp.meet @t31 @t242)) % 2.11/2.38 (define @t244 () (tptp.meet @t31 @t176)) % 2.11/2.38 (define @t245 () (tptp.join tptp.b @t244)) % 2.11/2.38 (define @t246 () (tptp.meet @t30 @t245)) % 2.11/2.38 (define @t247 () (tptp.meet @t30 @t226)) % 2.11/2.38 (define @t248 () (tptp.join tptp.b @t75)) % 2.11/2.38 (define @t249 () (tptp.join @t47 tptp.b)) % 2.11/2.38 (define @t250 () (tptp.join tptp.b @t84)) % 2.11/2.38 (define @t251 () (tptp.join @t250 @t83)) % 2.11/2.38 (define @t252 () (tptp.join tptp.b @t52)) % 2.11/2.38 (define @t253 () (tptp.join @t91 @t51)) % 2.11/2.38 (define @t254 () (tptp.join @t248 @t95)) % 2.11/2.38 (define @t255 () (tptp.join tptp.b @t96)) % 2.11/2.38 (define @t256 () (= @t254 @t255)) % 2.11/2.38 (define @t257 () (@list tptp.b @t75 @t95)) % 2.11/2.38 (define @t258 () (@list @t18)) % 2.11/2.38 (define @t259 () (tptp.meet @t255 @t30)) % 2.11/2.38 (define @t260 () (tptp.join @t30 @t29)) % 2.11/2.38 (define @t261 () (tptp.join @t54 tptp.b)) % 2.11/2.38 (define @t262 () (tptp.meet tptp.b @t89)) % 2.11/2.38 (define @t263 () (tptp.meet @t89 @t71)) % 2.11/2.38 (define @t264 () (tptp.meet tptp.b @t88)) % 2.11/2.38 (define @t265 () (tptp.join @t30 (tptp.join @t52 (tptp.meet @t31 @t86)))) % 2.11/2.38 (define @t266 () (tptp.meet @t31 @t87)) % 2.11/2.38 (define @t267 () (tptp.join @t30 @t266)) % 2.11/2.38 (define @t268 () (@list @t30 tptp.b)) % 2.11/2.38 (define @t269 () (tptp.meet @t30 tptp.b)) % 2.11/2.38 (define @t270 () (tptp.join tptp.b @t269)) % 2.11/2.38 (define @t271 () (tptp.join @t270 @t264)) % 2.11/2.38 (define @t272 () (tptp.join @t269 @t264)) % 2.11/2.38 (define @t273 () (tptp.join tptp.b @t272)) % 2.11/2.38 (define @t274 () (= @t271 @t273)) % 2.11/2.38 (define @t275 () (@list tptp.b @t269 @t264)) % 2.11/2.38 (define @t276 () (@list tptp.b @t272)) % 2.11/2.38 (define @t277 () (tptp.join @t272 tptp.b)) % 2.11/2.38 (define @t278 () (tptp.join @t96 @t98)) % 2.11/2.38 (define @t279 () (tptp.join @t91 @t90)) % 2.11/2.38 (define @t280 () (tptp.join @t31 @t279)) % 2.11/2.38 (define @t281 () (tptp.join @t49 @t49)) % 2.11/2.38 (define @t282 () (tptp.join @t31 @t281)) % 2.11/2.38 (define @t283 () (tptp.join @t31 @t90)) % 2.11/2.38 (define @t284 () (tptp.join @t31 @t56)) % 2.11/2.38 (define @t285 () (tptp.join @t96 @t272)) % 2.11/2.38 (define @t286 () (tptp.join @t285 tptp.b)) % 2.11/2.38 (define @t287 () (tptp.join tptp.b @t265)) % 2.11/2.38 (define @t288 () (tptp.join @t30 tptp.b)) % 2.11/2.38 (define @t289 () (tptp.join tptp.a @t86)) % 2.11/2.38 (define @t290 () (tptp.join tptp.a @t84)) % 2.11/2.38 (define @t291 () (tptp.join @t290 @t83)) % 2.11/2.38 (define @t292 () (tptp.join tptp.a @t47)) % 2.11/2.38 (define @t293 () (@list @t47 @t272)) % 2.11/2.38 (define @t294 () (tptp.join @t47 @t272)) % 2.11/2.38 (define @t295 () (tptp.join @t30 @t294)) % 2.11/2.38 (define @t296 () (tptp.join @t29 @t269)) % 2.11/2.38 (define @t297 () (tptp.join @t47 @t269)) % 2.11/2.38 (define @t298 () (tptp.join @t297 @t264)) % 2.11/2.38 (define @t299 () (tptp.meet @t30 @t85)) % 2.11/2.38 (define @t300 () (tptp.join @t233 @t299)) % 2.11/2.38 (define @t301 () (tptp.join @t30 @t300)) % 2.11/2.38 (define @t302 () (tptp.join @t32 @t85)) % 2.11/2.38 (define @t303 () (tptp.meet @t30 @t302)) % 2.11/2.38 (define @t304 () (tptp.join @t30 @t303)) % 2.11/2.38 (define @t305 () (tptp.meet @t51 @t32)) % 2.11/2.38 (define @t306 () (tptp.meet @t305 @t30)) % 2.11/2.38 (define @t307 () (tptp.meet @t31 @t305)) % 2.11/2.38 (define @t308 () (tptp.join @t307 @t306)) % 2.11/2.38 (define @t309 () (tptp.join @t30 @t308)) % 2.11/2.38 (define @t310 () (tptp.meet @t269 @t89)) % 2.11/2.38 (define @t311 () (tptp.join @t29 @t208)) % 2.11/2.38 (define @t312 () (tptp.join @t30 @t311)) % 2.11/2.38 (define @t313 () (tptp.meet tptp.b (tptp.join @t30 @t88))) % 2.11/2.38 (define @t314 () (tptp.join @t47 @t313)) % 2.11/2.38 (define @t315 () (tptp.join @t30 (tptp.meet @t30 @t294))) % 2.11/2.38 (define @t316 () (tptp.join @t68 @t68)) % 2.11/2.38 (define @t317 () (@list tptp.b @t96)) % 2.11/2.38 (define @t318 () (tptp.meet @t46 @t251)) % 2.11/2.38 (define @t319 () (tptp.join @t91 @t318)) % 2.11/2.38 (define @t320 () (tptp.meet @t46 @t83)) % 2.11/2.38 (define @t321 () (tptp.meet @t250 @t46)) % 2.11/2.38 (define @t322 () (tptp.join @t321 @t320)) % 2.11/2.38 (define @t323 () (tptp.join @t91 @t322)) % 2.11/2.38 (define @t324 () (tptp.meet @t250 @t323)) % 2.11/2.38 (define @t325 () (tptp.join @t29 @t272)) % 2.11/2.38 (define @t326 () (tptp.meet @t325 (tptp.join @t29 @t30))) % 2.11/2.38 (define @t327 () (tptp.join @t31 @t326)) % 2.11/2.38 (define @t328 () (not (= @t327 tptp.one))) % 2.11/2.38 (define @t329 () (tptp.meet @t31 @t326)) % 2.11/2.38 (define @t330 () (not (= @t329 tptp.zero))) % 2.11/2.38 (define @t331 () (or @t330 @t328 (= @t326 @t51))) % 2.11/2.38 (define @t332 () (= @t51 @t326)) % 2.11/2.38 (define @t333 () (= tptp.one @t327)) % 2.11/2.38 (define @t334 () (not @t333)) % 2.11/2.38 (define @t335 () (= tptp.zero @t329)) % 2.11/2.38 (define @t336 () (not @t335)) % 2.11/2.38 (define @t337 () (or @t336 @t334 @t332)) % 2.11/2.38 (define @t338 () (tptp.meet @t325 (tptp.join @t269 (tptp.complement @t269)))) % 2.11/2.38 (define @t339 () (tptp.join @t30 @t297)) % 2.11/2.38 (define @t340 () (= @t298 @t294)) % 2.11/2.38 (define @t341 () (tptp.join @t30 @t272)) % 2.11/2.38 (define @t342 () (tptp.meet tptp.b @t265)) % 2.11/2.38 (define @t343 () (tptp.join tptp.b @t29)) % 2.11/2.38 (define @t344 () (@list @t29 @t272)) % 2.11/2.38 (define @t345 () (tptp.meet @t109 @t291)) % 2.11/2.38 (define @t346 () (tptp.join @t269 @t345)) % 2.11/2.38 (define @t347 () (tptp.join @t29 @t109)) % 2.11/2.38 (define @t348 () (tptp.join @t31 @t211)) % 2.11/2.38 (define @t349 () (tptp.join @t31 @t29)) % 2.11/2.38 (define @t350 () (tptp.meet @t109 @t83)) % 2.11/2.38 (define @t351 () (tptp.meet @t290 @t109)) % 2.11/2.38 (define @t352 () (tptp.join @t351 @t350)) % 2.11/2.38 (define @t353 () (tptp.join @t269 @t352)) % 2.11/2.38 (define @t354 () (tptp.meet @t294 @t89)) % 2.11/2.38 (define @t355 () (tptp.join @t31 @t272)) % 2.11/2.38 (define @t356 () (tptp.join @t264 @t349)) % 2.11/2.38 (define @t357 () (@list @t349 @t272)) % 2.11/2.38 (define @t358 () (tptp.join @t349 @t272)) % 2.11/2.38 (define @t359 () (@list tptp.b @t109)) % 2.11/2.38 (define @t360 () (tptp.join @t31 @t313)) % 2.11/2.38 (define @t361 () (tptp.join @t236 @t244)) % 2.11/2.38 (define @t362 () (tptp.join @t31 @t50)) % 2.11/2.38 (define @t363 () (tptp.join tptp.a @t300)) % 2.11/2.38 (define @t364 () (tptp.join @t32 (tptp.meet @t32 (tptp.join tptp.a @t303)))) % 2.11/2.38 (define @t365 () (tptp.meet (tptp.meet @t109 tptp.b) tptp.a)) % 2.11/2.38 (define @t366 () (tptp.meet tptp.a @t32)) % 2.11/2.38 (define @t367 () (tptp.join @t365 (tptp.meet tptp.a (tptp.join @t32 (tptp.join @t366 (tptp.meet @t32 @t303)))))) % 2.11/2.38 (define @t368 () (tptp.join @t349 @t269)) % 2.11/2.38 (define @t369 () (tptp.join @t368 @t264)) % 2.11/2.38 (define @t370 () (= @t369 @t358)) % 2.11/2.38 (define @t371 () (tptp.join @t235 @t49)) % 2.11/2.38 (define @t372 () (tptp.join @t31 @t91)) % 2.11/2.38 (define @t373 () (tptp.join @t91 @t29)) % 2.11/2.38 (define @t374 () (tptp.join @t372 @t90)) % 2.11/2.38 (define @t375 () (tptp.join @t31 @t96)) % 2.11/2.38 (define @t376 () (tptp.join @t96 @t373)) % 2.11/2.38 (define @t377 () (tptp.meet @t355 @t30)) % 2.11/2.38 (define @t378 () (tptp.join @t272 @t31)) % 2.11/2.38 (define @t379 () (tptp.join @t75 @t129)) % 2.11/2.38 (define @t380 () (tptp.meet @t85 @t31)) % 2.11/2.38 (define @t381 () (tptp.join @t299 @t380)) % 2.11/2.38 (define @t382 () (tptp.join @t31 @t381)) % 2.11/2.38 (define @t383 () (tptp.meet @t30 @t194)) % 2.11/2.38 (define @t384 () (tptp.meet @t75 @t30)) % 2.11/2.38 (define @t385 () (tptp.join @t384 (tptp.meet @t30 (tptp.join @t31 (tptp.meet @t85 @t44))))) % 2.11/2.38 (define @t386 () (tptp.join @t68 @t29)) % 2.11/2.38 (define @t387 () (tptp.join tptp.a @t49)) % 2.11/2.38 (define @t388 () (tptp.join @t387 @t69)) % 2.11/2.38 (define @t389 () (tptp.join @t49 @t69)) % 2.11/2.38 (define @t390 () (tptp.join tptp.a @t389)) % 2.11/2.38 (define @t391 () (= @t388 @t390)) % 2.11/2.38 (define @t392 () (@list tptp.a @t49 @t69)) % 2.11/2.38 (define @t393 () (tptp.join @t31 @t51)) % 2.11/2.38 (define @t394 () (tptp.join @t376 @t30)) % 2.11/2.38 (define @t395 () (tptp.join @t349 @t30)) % 2.11/2.38 (define @t396 () (tptp.meet @t31 @t101)) % 2.11/2.38 (define @t397 () (tptp.join tptp.b @t396)) % 2.11/2.38 (define @t398 () (tptp.join tptp.b @t259)) % 2.11/2.38 (define @t399 () (tptp.join @t112 tptp.b)) % 2.11/2.38 (define @t400 () (tptp.join @t31 @t269)) % 2.11/2.38 (define @t401 () (tptp.join @t400 @t264)) % 2.11/2.38 (define @t402 () (= @t401 @t355)) % 2.11/2.38 (define @t403 () (tptp.meet @t289 @t109)) % 2.11/2.38 (define @t404 () (tptp.join (tptp.meet @t31 @t289) @t403)) % 2.11/2.38 (define @t405 () (tptp.join @t269 @t404)) % 2.11/2.38 (define @t406 () (tptp.meet @t323 @t272)) % 2.11/2.38 (define @t407 () (tptp.join tptp.b @t49)) % 2.11/2.38 (define @t408 () (tptp.join tptp.b @t73)) % 2.11/2.38 (define @t409 () (tptp.meet @t408 @t29)) % 2.11/2.38 (define @t410 () (tptp.join (tptp.meet @t31 @t408) @t409)) % 2.11/2.38 (define @t411 () (tptp.join @t29 @t410)) % 2.11/2.38 (define @t412 () (tptp.join @t29 (tptp.meet @t408 @t349))) % 2.11/2.38 (define @t413 () (tptp.join @t29 @t362)) % 2.11/2.38 (define @t414 () (tptp.join @t110 @t91)) % 2.11/2.38 (define @t415 () (tptp.meet @t408 @t414)) % 2.11/2.38 (define @t416 () (tptp.join @t349 tptp.b)) % 2.11/2.38 (define @t417 () (tptp.meet @t31 @t129)) % 2.11/2.38 (define @t418 () (tptp.join @t109 @t179)) % 2.11/2.38 (define @t419 () (tptp.meet @t75 @t418)) % 2.11/2.38 (define @t420 () (tptp.meet @t349 @t358)) % 2.11/2.38 (define @t421 () (tptp.meet @t418 @t358)) % 2.11/2.38 (define @t422 () (tptp.join @t419 @t421)) % 2.11/2.38 (define @t423 () (tptp.join @t272 @t422)) % 2.11/2.38 (define @t424 () (tptp.join @t49 @t250)) % 2.11/2.38 (define @t425 () (tptp.join @t75 @t358)) % 2.11/2.38 (define @t426 () (tptp.meet @t418 @t425)) % 2.11/2.38 (define @t427 () (tptp.join @t272 @t426)) % 2.11/2.38 (define @t428 () (tptp.join @t424 (tptp.meet @t75 @t427))) % 2.11/2.38 (define @t429 () (tptp.join @t83 @t96)) % 2.11/2.38 (define @t430 () (tptp.join tptp.b @t429)) % 2.11/2.38 (define @t431 () (tptp.join @t272 @t430)) % 2.11/2.38 (define @t432 () (tptp.join @t325 @t29)) % 2.11/2.38 (define @t433 () (tptp.join @t375 @t96)) % 2.11/2.38 (define @t434 () (tptp.join @t31 @t112)) % 2.11/2.38 (define @t435 () (tptp.join @t29 @t361)) % 2.11/2.38 (define @t436 () (tptp.join @t349 @t313)) % 2.11/2.38 (define @t437 () (tptp.join @t420 (tptp.meet @t358 @t30))) % 2.11/2.38 (define @t438 () (tptp.join @t31 @t437)) % 2.11/2.38 (define @t439 () (tptp.join @t297 tptp.a)) % 2.11/2.38 (define @t440 () (tptp.join @t439 @t366)) % 2.11/2.38 (define @t441 () (tptp.meet @t427 @t272)) % 2.11/2.38 (define @t442 () (tptp.join @t29 @t313)) % 2.11/2.38 (define @t443 () (tptp.join (tptp.meet @t29 @t325) (tptp.meet @t325 @t30))) % 2.11/2.38 (define @t444 () (tptp.join @t349 @t443)) % 2.11/2.38 (define @t445 () (tptp.join @t269 @t109)) % 2.11/2.38 (define @t446 () (tptp.meet @t89 @t445)) % 2.11/2.38 (define @t447 () (tptp.meet @t269 @t446)) % 2.11/2.38 (define @t448 () (tptp.meet @t260 @t269)) % 2.11/2.38 (define @t449 () (tptp.join @t448 @t447)) % 2.11/2.38 (define @t450 () (tptp.join @t29 @t449)) % 2.11/2.38 (define @t451 () (tptp.meet @t89 @t109)) % 2.11/2.38 (define @t452 () (tptp.join @t310 @t451)) % 2.11/2.38 (define @t453 () (tptp.join @t260 @t452)) % 2.11/2.38 (define @t454 () (tptp.join @t29 (tptp.meet @t269 (tptp.join @t260 @t446)))) % 2.11/2.38 (define @t455 () (tptp.meet @t46 @t294)) % 2.11/2.38 (define @t456 () (tptp.meet @t87 @t30)) % 2.11/2.38 (define @t457 () (= tptp.a @t29)) % 2.11/2.38 (define @t458 () (= @t31 @t50)) % 2.11/2.38 (define @t459 () (= @t29 @t215)) % 2.11/2.38 (define @t460 () (= tptp.one @t98)) % 2.11/2.38 (define @t461 () (= tptp.one @t46)) % 2.11/2.38 (define @t462 () (= tptp.a @t208)) % 2.11/2.38 (define @t463 () (= tptp.a @t292)) % 2.11/2.38 (define @t464 () (= tptp.a @t216)) % 2.11/2.38 (define @t465 () (= @t31 @t235)) % 2.11/2.38 (define @t466 () (= @t31 @t362)) % 2.11/2.38 (define @t467 () (= tptp.b @t252)) % 2.11/2.38 (define @t468 () (= @t49 @t75)) % 2.11/2.38 (define @t469 () (= @t50 @t236)) % 2.11/2.38 (define @t470 () (= @t52 @t56)) % 2.11/2.38 (define @t471 () (= @t46 @t226)) % 2.11/2.38 (define @t472 () (= @t98 @t54)) % 2.11/2.38 (define @t473 () (= @t232 @t234)) % 2.11/2.38 (define @t474 () (= @t197 @t196)) % 2.11/2.38 (define @t475 () (= tptp.one @t393)) % 2.11/2.38 (define @t476 () (= tptp.zero @t90)) % 2.11/2.38 (define @t477 () (= @t243 @t244)) % 2.11/2.38 (define @t478 () (= @t31 @t72)) % 2.11/2.38 (define @t479 () (= @t30 @t247)) % 2.11/2.38 (define @t480 () (= @t31 @t229)) % 2.11/2.38 (define @t481 () (tptp.join @t30 @t75)) % 2.11/2.38 (define @t482 () (= @t30 @t481)) % 2.11/2.38 (define @t483 () (= @t30 @t194)) % 2.11/2.38 (define @t484 () (= @t31 @t284)) % 2.11/2.38 (define @t485 () (= @t208 (tptp.meet @t46 tptp.a))) % 2.11/2.38 (define @t486 () (= @t292 (tptp.join @t47 tptp.a))) % 2.11/2.38 (define @t487 () (= @t109 @t349)) % 2.11/2.38 (define @t488 () (= @t235 @t231)) % 2.11/2.38 (define @t489 () (= @t237 @t417)) % 2.11/2.38 (define @t490 () (= @t210 @t209)) % 2.11/2.38 (define @t491 () (= @t371 @t282)) % 2.11/2.38 (define @t492 () (= @t238 (tptp.join tptp.b @t362))) % 2.11/2.38 (define @t493 () (= (tptp.join @t109 @t50) @t413)) % 2.11/2.38 (define @t494 () (= (tptp.meet @t31 (tptp.join @t30 (tptp.meet tptp.a @t393))) @t396)) % 2.11/2.38 (define @t495 () (= @t199 @t266)) % 2.11/2.38 (define @t496 () (= @t262 (tptp.meet tptp.b (tptp.join @t29 @t311)))) % 2.11/2.38 (define @t497 () (= @t30 @t69)) % 2.11/2.38 (define @t498 () (= @t68 @t316)) % 2.11/2.38 (define @t499 () (= @t47 (tptp.meet @t47 @t206))) % 2.11/2.38 (define @t500 () (= @t49 (tptp.meet @t49 @t389))) % 2.11/2.38 (define @t501 () (= @t52 (tptp.join @t52 @t83))) % 2.11/2.38 (define @t502 () (tptp.meet @t29 @t31)) % 2.11/2.38 (define @t503 () (= @t29 (tptp.join @t29 @t502))) % 2.11/2.38 (define @t504 () (= tptp.a (tptp.join tptp.a @t88))) % 2.11/2.38 (define @t505 () (= @t30 (tptp.join @t30 @t100))) % 2.11/2.38 (define @t506 () (= @t502 (tptp.meet @t31 @t29))) % 2.11/2.38 (define @t507 () (= @t100 (tptp.meet @t77 @t30))) % 2.11/2.38 (define @t508 () (= @t481 (tptp.join @t75 @t30))) % 2.11/2.38 (define @t509 () (= @t93 @t219)) % 2.11/2.38 (define @t510 () (= @t86 @t201)) % 2.11/2.38 (define @t511 () (tptp.meet @t31 @t299)) % 2.11/2.38 (define @t512 () (= @t241 @t511)) % 2.11/2.38 (define @t513 () (= @t200 (tptp.meet @t31 @t266))) % 2.11/2.38 (define @t514 () (= @t213 (tptp.meet @t31 @t262))) % 2.11/2.38 (define @t515 () (= @t374 @t280)) % 2.11/2.38 (define @t516 () (tptp.join @t481 @t79)) % 2.11/2.38 (define @t517 () (= @t516 @t223)) % 2.11/2.38 (define @t518 () (tptp.join @t32 @t99)) % 2.11/2.38 (define @t519 () (= tptp.one @t518)) % 2.11/2.38 (define @t520 () (tptp.meet @t30 @t97)) % 2.11/2.38 (define @t521 () (= (tptp.meet @t30 (tptp.join @t75 @t396)) @t520)) % 2.11/2.38 (define @t522 () (tptp.meet @t49 @t94)) % 2.11/2.38 (define @t523 () (= @t239 @t522)) % 2.11/2.38 (define @t524 () (= (tptp.meet @t30 @t75) @t384)) % 2.11/2.38 (define @t525 () (= @t520 @t225)) % 2.11/2.38 (define @t526 () (tptp.join @t98 @t96)) % 2.11/2.38 (define @t527 () (= @t526 @t278)) % 2.11/2.38 (define @t528 () (tptp.join @t30 @t96)) % 2.11/2.38 (define @t529 () (= @t528 @t222)) % 2.11/2.38 (define @t530 () (= @t96 (tptp.join @t95 @t75))) % 2.11/2.38 (define @t531 () (= @t224 (tptp.join @t49 (tptp.join @t68 @t95)))) % 2.11/2.38 (define @t532 () (= @t433 @t434)) % 2.11/2.38 (define @t533 () (tptp.join @t31 @t103)) % 2.11/2.38 (define @t534 () (= @t518 @t533)) % 2.11/2.38 (define @t535 () (tptp.join @t30 @t113)) % 2.11/2.38 (define @t536 () (tptp.join @t528 @t100)) % 2.11/2.38 (define @t537 () (= @t536 @t535)) % 2.11/2.38 (define @t538 () (= @t526 (tptp.join tptp.b @t375))) % 2.11/2.38 (define @t539 () (= @t204 @t202)) % 2.11/2.38 (define @t540 () (= @t96 @t112)) % 2.11/2.38 (define @t541 () (= @t96 (tptp.meet @t96 (tptp.join @t96 @t101)))) % 2.11/2.38 (define @t542 () (= @t102 (tptp.meet @t102 (tptp.join @t102 @t69)))) % 2.11/2.38 (define @t543 () (tptp.join @t108 @t111)) % 2.11/2.38 (define @t544 () (tptp.join @t111 @t108)) % 2.11/2.38 (define @t545 () (= @t544 @t543)) % 2.11/2.38 (define @t546 () (tptp.join @t31 @t173)) % 2.11/2.38 (define @t547 () (= (tptp.join @t434 @t103) @t546)) % 2.11/2.38 (define @t548 () (tptp.join @t111 @t91)) % 2.11/2.38 (define @t549 () (tptp.join @t174 @t68)) % 2.11/2.38 (define @t550 () (= @t549 @t548)) % 2.11/2.38 (define @t551 () (tptp.join @t99 @t535)) % 2.11/2.38 (define @t552 () (tptp.join @t104 @t113)) % 2.11/2.38 (define @t553 () (= @t552 @t551)) % 2.11/2.38 (define @t554 () (tptp.join @t173 @t31)) % 2.11/2.38 (define @t555 () (= @t546 @t554)) % 2.11/2.38 (define @t556 () (tptp.join @t103 @t112)) % 2.11/2.38 (define @t557 () (= @t173 @t556)) % 2.11/2.38 (define @t558 () (tptp.join @t104 @t549)) % 2.11/2.38 (define @t559 () (= (tptp.join (tptp.join @t104 @t174) @t68) @t558)) % 2.11/2.38 (define @t560 () (tptp.meet @t435 @t30)) % 2.11/2.38 (define @t561 () (and @t457 @t458 @t459 @t126 @t460 @t461 @t127 @t128 @t462 @t130 @t463 @t464 @t465 @t466 @t467 @t131 @t468 @t469 @t470 @t471 @t472 @t473 @t474 @t475 @t476 @t477 @t478 @t479 @t480 @t133 @t482 @t483 @t484 @t485 @t486 @t487 @t488 @t489 @t490 @t491 @t492 @t493 @t53 @t494 @t495 @t496 @t497 @t498 @t499 @t500 @t501 @t503 @t504 @t505 @t506 @t507 @t136 @t508 @t509 @t510 @t512 @t513 @t514 @t515 @t517 @t519 @t521 @t141 @t523 @t524 @t525 @t527 @t529 @t530 @t531 @t532 @t534 @t537 @t538 @t539 @t540 @t541 @t542 @t107 @t545 @t547 @t550 @t553 @t187 @t555 @t557 @t559)) % 2.11/2.38 (assume @p1 @t4) % 2.11/2.38 (assume @p2 @t6) % 2.11/2.38 (assume @p3 @t11) % 2.11/2.38 (assume @p4 @t14) % 2.11/2.38 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 2.11/2.38 (assume @p6 @t15) % 2.11/2.38 (assume @p7 (forall @t17 (= (tptp.meet @t12 @t16) (tptp.meet @t1 (tptp.meet @t7 @t16))))) % 2.11/2.38 (assume @p8 @t18) % 2.11/2.38 (assume @p9 @t21) % 2.11/2.38 (assume @p10 @t23) % 2.11/2.38 (assume @p11 @t27) % 2.11/2.38 (assume @p12 (forall (@list @t1 @t7 @t16 @t28) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t16 (tptp.join @t1 @t28)))) (tptp.meet @t1 (tptp.join @t7 (tptp.join (tptp.meet @t1 @t16) (tptp.meet @t16 @t28))))))) % 2.11/2.38 (assume @p13 (= @t29 tptp.a)) % 2.11/2.38 (assume @p14 (not (= @t32 @t30))) % 2.11/2.38 (step @p15 :rule symm :premises (@p13)) % 2.11/2.38 (step @p16 :rule eq-symm :args (@t9 @t1)) % 2.11/2.38 (step @p17 :rule cong :premises (@p16) :args (@t11)) % 2.11/2.38 (step @p18 :rule eq_resolve :premises (@p3 @p17)) % 2.11/2.38 (step @p19 :rule instantiate :premises (@p18) :args (@t33)) % 2.11/2.38 (step @p20 :rule instantiate :premises (@p5) :args (@t34)) % 2.11/2.38 (step @p21 :rule instantiate :premises (@p6) :args (@t33)) % 2.11/2.38 (step @p22 :rule eq-symm :args (@t20 tptp.one)) % 2.11/2.38 (step @p23 :rule cong :premises (@p22) :args (@t21)) % 2.11/2.38 (step @p24 :rule eq_resolve :premises (@p9 @p23)) % 2.11/2.38 (step @p25 :rule instantiate :premises (@p24) :args (@t35)) % 2.11/2.38 (step @p26 :rule instantiate :premises (@p24) :args (@t36)) % 2.11/2.38 (step @p27 :rule eq-symm :args (@t22 tptp.zero)) % 2.11/2.38 (step @p28 :rule cong :premises (@p27) :args (@t23)) % 2.11/2.38 (step @p29 :rule eq_resolve :premises (@p10 @p28)) % 2.11/2.38 (step @p30 :rule instantiate :premises (@p29) :args (@t35)) % 2.11/2.38 (step @p31 :rule instantiate :premises (@p29) :args (@t36)) % 2.11/2.38 (step @p32 :rule instantiate :premises (@p18) :args (@t37)) % 2.11/2.38 (step @p33 :rule instantiate :premises (@p18) :args (@t38)) % 2.11/2.38 (step @p34 :rule eq-symm :args (@t13 @t1)) % 2.11/2.38 (step @p35 :rule cong :premises (@p34) :args (@t14)) % 2.11/2.38 (step @p36 :rule eq_resolve :premises (@p4 @p35)) % 2.11/2.38 (step @p37 :rule instantiate :premises (@p36) :args (@t37)) % 2.11/2.38 (step @p38 :rule instantiate :premises (@p36) :args ((@list tptp.a tptp.b))) % 2.11/2.38 (step @p39 :rule instantiate :premises (@p36) :args (@t33)) % 2.11/2.38 (step @p40 :rule instantiate :premises (@p36) :args (@t39)) % 2.11/2.38 (step @p41 :rule instantiate :premises (@p36) :args (@t40)) % 2.11/2.38 (step @p42 :rule instantiate :premises (@p5) :args (@t37)) % 2.11/2.38 (step @p43 :rule instantiate :premises (@p5) :args (@t33)) % 2.11/2.38 (step @p44 :rule instantiate :premises (@p5) :args (@t39)) % 2.11/2.38 (step @p45 :rule instantiate :premises (@p5) :args (@t40)) % 2.11/2.38 (step @p46 :rule instantiate :premises (@p6) :args (@t37)) % 2.11/2.38 (step @p47 :rule instantiate :premises (@p6) :args (@t40)) % 2.11/2.38 (step @p48 :rule instantiate :premises (@p7) :args ((@list @t31 @t32 @t30))) % 2.11/2.38 (step @p49 :rule instantiate :premises (@p7) :args ((@list tptp.b @t31 @t32))) % 2.11/2.38 (step @p50 :rule instantiate :premises (@p24) :args (@t41)) % 2.11/2.38 (step @p51 :rule instantiate :premises (@p29) :args (@t41)) % 2.11/2.38 (step @p52 :rule instantiate :premises (@p12) :args ((@list @t31 @t30 @t31 @t30))) % 2.11/2.38 (step @p53 :rule eq-symm :args (@t2 @t1)) % 2.11/2.38 (step @p54 :rule cong :premises (@p53) :args (@t4)) % 2.11/2.38 (step @p55 :rule eq_resolve :premises (@p1 @p54)) % 2.11/2.38 (step @p56 :rule instantiate :premises (@p55) :args (@t41)) % 2.11/2.38 (step @p57 :rule instantiate :premises (@p18) :args (@t42)) % 2.11/2.38 (step @p58 :rule instantiate :premises (@p18) :args (@t43)) % 2.11/2.38 (step @p59 :rule instantiate :premises (@p36) :args (@t42)) % 2.11/2.38 (step @p60 :rule instantiate :premises (@p36) :args (@t38)) % 2.11/2.38 (step @p61 :rule instantiate :premises (@p36) :args (@t45)) % 2.11/2.38 (step @p62 :rule instantiate :premises (@p36) :args (@t43)) % 2.11/2.38 (step @p63 :rule instantiate :premises (@p5) :args ((@list tptp.a @t46))) % 2.11/2.38 (step @p64 :rule instantiate :premises (@p6) :args ((@list tptp.a @t47))) % 2.11/2.38 (step @p65 :rule instantiate :premises (@p6) :args (@t48)) % 2.11/2.38 (step @p66 :rule instantiate :premises (@p6) :args ((@list @t31 @t49))) % 2.11/2.38 (step @p67 :rule instantiate :premises (@p7) :args ((@list @t31 @t30 @t44))) % 2.11/2.38 (step @p68 :rule instantiate :premises (@p7) :args ((@list @t30 tptp.a @t46))) % 2.11/2.38 (step @p69 :rule instantiate :premises (@p8) :args ((@list @t31 @t49 @t49))) % 2.11/2.38 (step @p70 :rule instantiate :premises (@p8) :args ((@list tptp.b @t31 @t50))) % 2.11/2.38 (step @p71 :rule instantiate :premises (@p8) :args ((@list @t29 @t31 @t50))) % 2.11/2.38 (step @p72 :rule instantiate :premises (@p12) :args ((@list @t31 @t30 tptp.a @t51))) % 2.11/2.38 (step @p73 :rule instantiate :premises (@p12) :args ((@list @t31 tptp.b @t52 @t30))) % 2.11/2.38 (step @p74 :rule instantiate :premises (@p12) :args ((@list tptp.b @t29 tptp.a @t46))) % 2.11/2.38 (step @p75 :rule eq-symm :args (@t19 @t7)) % 2.11/2.38 (step @p76 :rule refl :args (@t24)) % 2.11/2.38 (step @p77 :rule refl :args (@t25)) % 2.11/2.38 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args (@t26)) % 2.11/2.38 (step @p79 :rule cong :premises (@p78) :args (@t27)) % 2.11/2.38 (step @p80 :rule eq_resolve :premises (@p11 @p79)) % 2.11/2.38 (step @p81 :rule refl :args (@t53)) % 2.11/2.38 (step @p82 :rule eq-symm :args (@t54 tptp.one)) % 2.11/2.38 (step @p83 :rule cong :premises (@p82) :args (@t55)) % 2.11/2.38 (step @p84 :rule eq-symm :args (@t56 tptp.zero)) % 2.11/2.38 (step @p85 :rule cong :premises (@p84) :args (@t57)) % 2.11/2.38 (step @p86 :rule nary_cong :premises (@p85 @p83 @p81) :args (@t58)) % 2.11/2.38 (step @p87 :rule refl :args (@t59)) % 2.11/2.38 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t59 @t58))) % 2.11/2.38 (assume-push @p1961 @t59) % 2.11/2.38 (step @p90 :rule instantiate :premises (@p80) :args (@t43)) % 2.11/2.38 (step-pop @p1962 :rule scope :premises (@p90)) % 2.11/2.38 (step @p91 :rule process_scope :premises (@p1962) :args (@t58)) % 2.11/2.38 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 2.11/2.38 (step @p94 :rule implies_elim :premises (@p93)) % 2.11/2.38 (step @p95 :rule chain_m_resolution :premises (@p94 @p80) :args (@t64 @t65 @t66)) % 2.11/2.38 (step @p96 :rule trans :premises (@p25 @p47)) % 2.11/2.38 (step @p97 :rule trans :premises (@p30 @p45)) % 2.11/2.38 (step @p98 :rule cnf_or_pos :args (@t64)) % 2.11/2.38 (step @p99 :rule reordering :premises (@p98) :args ((or @t53 @t63 @t61 (not @t64)))) % 2.11/2.38 (step @p100 :rule chain_m_resolution :premises (@p99 @p97 @p96 @p95) :args (@t53 @t67 (@list @t62 @t60 @t64))) % 2.11/2.38 (step @p101 :rule instantiate :premises (@p55) :args ((@list @t30))) % 2.11/2.38 (step @p102 :rule eq-symm :args (@t5 @t1)) % 2.11/2.38 (step @p103 :rule cong :premises (@p102) :args (@t6)) % 2.11/2.38 (step @p104 :rule eq_resolve :premises (@p2 @p103)) % 2.11/2.38 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t68))) % 2.11/2.38 (step @p106 :rule instantiate :premises (@p18) :args ((@list @t47 @t29))) % 2.11/2.38 (step @p107 :rule instantiate :premises (@p18) :args ((@list @t49 @t69))) % 2.11/2.38 (step @p108 :rule instantiate :premises (@p36) :args (@t70)) % 2.11/2.38 (step @p109 :rule instantiate :premises (@p36) :args (@t48)) % 2.11/2.38 (step @p110 :rule instantiate :premises (@p36) :args ((@list tptp.a @t71))) % 2.11/2.38 (step @p111 :rule instantiate :premises (@p36) :args (@t78)) % 2.11/2.38 (step @p112 :rule instantiate :premises (@p5) :args (@t48)) % 2.11/2.38 (step @p113 :rule instantiate :premises (@p5) :args (@t78)) % 2.11/2.38 (step @p114 :rule instantiate :premises (@p6) :args ((@list @t30 @t79))) % 2.11/2.38 (step @p115 :rule instantiate :premises (@p6) :args (@t80)) % 2.11/2.38 (step @p116 :rule instantiate :premises (@p6) :args ((@list @t82 @t81))) % 2.11/2.38 (step @p117 :rule instantiate :premises (@p6) :args ((@list @t84 @t83))) % 2.11/2.38 (step @p118 :rule instantiate :premises (@p7) :args ((@list @t31 @t30 @t85))) % 2.11/2.38 (step @p119 :rule instantiate :premises (@p7) :args ((@list @t31 @t31 @t87))) % 2.11/2.38 (step @p120 :rule instantiate :premises (@p7) :args ((@list @t31 tptp.b @t89))) % 2.11/2.38 (step @p121 :rule instantiate :premises (@p8) :args ((@list @t31 @t91 @t90))) % 2.11/2.38 (step @p122 :rule instantiate :premises (@p8) :args ((@list @t30 @t75 @t79))) % 2.11/2.38 (step @p123 :rule instantiate :premises (@p24) :args (@t92)) % 2.11/2.38 (step @p124 :rule instantiate :premises (@p12) :args ((@list @t30 @t75 @t31 @t93))) % 2.11/2.38 (step @p125 :rule instantiate :premises (@p18) :args (@t70)) % 2.11/2.38 (step @p126 :rule instantiate :premises (@p5) :args ((@list @t94 @t49))) % 2.11/2.38 (step @p127 :rule instantiate :premises (@p5) :args (@t80)) % 2.11/2.38 (step @p128 :rule instantiate :premises (@p5) :args ((@list @t30 @t97))) % 2.11/2.38 (step @p129 :rule instantiate :premises (@p6) :args ((@list @t98 @t96))) % 2.11/2.38 (step @p130 :rule instantiate :premises (@p6) :args ((@list @t30 @t96))) % 2.11/2.38 (step @p131 :rule instantiate :premises (@p6) :args ((@list @t75 @t95))) % 2.11/2.38 (step @p132 :rule instantiate :premises (@p8) :args ((@list @t49 @t68 @t95))) % 2.11/2.38 (step @p133 :rule instantiate :premises (@p8) :args ((@list @t31 @t96 @t96))) % 2.11/2.38 (step @p134 :rule instantiate :premises (@p8) :args ((@list @t31 @t30 @t99))) % 2.11/2.38 (step @p135 :rule instantiate :premises (@p8) :args ((@list @t30 @t96 @t100))) % 2.11/2.38 (step @p136 :rule instantiate :premises (@p8) :args ((@list tptp.b @t31 @t96))) % 2.11/2.38 (step @p137 :rule instantiate :premises (@p8) :args ((@list @t75 @t83 @t84))) % 2.11/2.38 (step @p138 :rule instantiate :premises (@p104) :args ((@list @t96))) % 2.11/2.38 (step @p139 :rule instantiate :premises (@p18) :args ((@list @t96 @t101))) % 2.11/2.38 (step @p140 :rule instantiate :premises (@p18) :args ((@list @t102 @t69))) % 2.11/2.38 (step @p141 :rule eq-symm :args (@t103 @t104)) % 2.11/2.38 (step @p142 :rule refl :args (@t15)) % 2.11/2.38 (step @p143 :rule cong :premises (@p142 @p141) :args ((=> @t15 @t105))) % 2.11/2.38 (assume-push @p1963 @t15) % 2.11/2.38 (step @p145 :rule instantiate :premises (@p6) :args (@t106)) % 2.11/2.38 (step-pop @p1964 :rule scope :premises (@p145)) % 2.11/2.38 (step @p146 :rule process_scope :premises (@p1964) :args (@t105)) % 2.11/2.38 (step @p148 :rule eq_resolve :premises (@p146 @p143)) % 2.11/2.38 (step @p149 :rule implies_elim :premises (@p148)) % 2.11/2.38 (step @p150 :rule chain_m_resolution :premises (@p149 @p6) :args (@t107 @t65 (@list @t15))) % 2.11/2.38 (step @p151 :rule instantiate :premises (@p6) :args ((@list @t111 @t108))) % 2.11/2.38 (step @p152 :rule instantiate :premises (@p8) :args ((@list @t31 @t112 @t103))) % 2.11/2.38 (step @p153 :rule instantiate :premises (@p8) :args ((@list @t111 @t49 @t68))) % 2.11/2.38 (step @p154 :rule instantiate :premises (@p8) :args ((@list @t99 @t30 @t113))) % 2.11/2.38 (step @p155 :rule refl :args (@t115)) % 2.11/2.38 (step @p156 :rule eq-symm :args (@t104 tptp.one)) % 2.11/2.38 (step @p157 :rule cong :premises (@p156) :args (@t116)) % 2.11/2.38 (step @p158 :rule eq-symm :args (@t117 tptp.zero)) % 2.11/2.38 (step @p159 :rule cong :premises (@p158) :args (@t118)) % 2.11/2.38 (step @p160 :rule nary_cong :premises (@p159 @p157 @p155) :args (@t119)) % 2.11/2.38 (step @p161 :rule cong :premises (@p87 @p160) :args ((=> @t59 @t119))) % 2.11/2.38 (assume-push @p1965 @t59) % 2.11/2.38 (step @p163 :rule instantiate :premises (@p80) :args (@t120)) % 2.11/2.38 (step-pop @p1966 :rule scope :premises (@p163)) % 2.11/2.38 (step @p164 :rule process_scope :premises (@p1966) :args (@t119)) % 2.11/2.38 (step @p166 :rule eq_resolve :premises (@p164 @p161)) % 2.11/2.38 (step @p167 :rule implies_elim :premises (@p166)) % 2.11/2.38 (step @p168 :rule chain_m_resolution :premises (@p167 @p80) :args (@t125 @t65 @t66)) % 2.11/2.38 (step @p169 :rule instantiate :premises (@p5) :args (@t120)) % 2.11/2.38 (step @p170 :rule instantiate :premises (@p7) :args ((@list @t30 @t32 @t99))) % 2.11/2.38 (step @p171 :rule instantiate :premises (@p29) :args (@t92)) % 2.11/2.38 (step @p172 :rule instantiate 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(step-pop @p2153 :rule scope :premises (@p2152)) % 2.11/2.39 (step-pop @p2154 :rule scope :premises (@p2153)) % 2.11/2.39 (step-pop @p2155 :rule scope :premises (@p2154)) % 2.11/2.39 (step-pop @p2156 :rule scope :premises (@p2155)) % 2.11/2.39 (step-pop @p2157 :rule scope :premises (@p2156)) % 2.11/2.39 (step-pop @p2158 :rule scope :premises (@p2157)) % 2.11/2.39 (step-pop @p2159 :rule scope :premises (@p2158)) % 2.11/2.39 (step-pop @p2160 :rule scope :premises (@p2159)) % 2.11/2.39 (step-pop @p2161 :rule scope :premises (@p2160)) % 2.11/2.39 (step-pop @p2162 :rule scope :premises (@p2161)) % 2.11/2.39 (step-pop @p2163 :rule scope :premises (@p2162)) % 2.11/2.39 (step-pop @p2164 :rule scope :premises (@p2163)) % 2.11/2.39 (step-pop @p2165 :rule scope :premises (@p2164)) % 2.11/2.39 (step-pop @p2166 :rule scope :premises (@p2165)) % 2.11/2.39 (step-pop @p2167 :rule scope :premises (@p2166)) % 2.11/2.39 (step-pop @p2168 :rule scope :premises (@p2167)) % 2.11/2.39 (step-pop @p2169 :rule scope :premises (@p2168)) % 2.11/2.39 (step-pop @p2170 :rule scope :premises (@p2169)) % 2.11/2.39 (step-pop @p2171 :rule scope :premises (@p2170)) % 2.11/2.39 (step-pop @p2172 :rule scope :premises (@p2171)) % 2.11/2.39 (step-pop @p2173 :rule scope :premises (@p2172)) % 2.11/2.39 (step-pop @p2174 :rule scope :premises (@p2173)) % 2.11/2.39 (step-pop @p2175 :rule scope :premises (@p2174)) % 2.11/2.39 (step-pop @p2176 :rule scope :premises (@p2175)) % 2.11/2.39 (step-pop @p2177 :rule scope :premises (@p2176)) % 2.11/2.39 (step-pop @p2178 :rule scope :premises (@p2177)) % 2.11/2.39 (step-pop @p2179 :rule scope :premises (@p2178)) % 2.11/2.39 (step-pop @p2180 :rule scope :premises (@p2179)) % 2.11/2.39 (step-pop @p2181 :rule scope :premises (@p2180)) % 2.11/2.39 (step-pop @p2182 :rule scope :premises (@p2181)) % 2.11/2.39 (step-pop @p2183 :rule scope :premises (@p2182)) % 2.11/2.39 (step-pop @p2184 :rule scope :premises (@p2183)) % 2.11/2.39 (step-pop @p2185 :rule scope :premises (@p2184)) % 2.11/2.39 (step-pop @p2186 :rule scope :premises (@p2185)) % 2.11/2.39 (step-pop @p2187 :rule scope :premises (@p2186)) % 2.11/2.39 (step-pop @p2188 :rule scope :premises (@p2187)) % 2.11/2.39 (step-pop @p2189 :rule scope :premises (@p2188)) % 2.11/2.39 (step-pop @p2190 :rule scope :premises (@p2189)) % 2.11/2.39 (step-pop @p2191 :rule scope :premises (@p2190)) % 2.11/2.39 (step-pop @p2192 :rule scope :premises (@p2191)) % 2.11/2.39 (step-pop @p2193 :rule scope :premises (@p2192)) % 2.11/2.39 (step-pop @p2194 :rule scope :premises (@p2193)) % 2.11/2.39 (step-pop @p2195 :rule scope :premises (@p2194)) % 2.11/2.39 (step-pop @p2196 :rule scope :premises (@p2195)) % 2.11/2.39 (step-pop @p2197 :rule scope :premises (@p2196)) % 2.11/2.39 (step-pop @p2198 :rule scope :premises (@p2197)) % 2.11/2.39 (step-pop @p2199 :rule scope :premises (@p2198)) % 2.11/2.39 (step-pop @p2200 :rule scope :premises (@p2199)) % 2.11/2.39 (step-pop @p2201 :rule scope :premises (@p2200)) % 2.11/2.39 (step-pop @p2202 :rule scope :premises (@p2201)) % 2.11/2.39 (step-pop @p2203 :rule scope :premises (@p2202)) % 2.11/2.39 (step-pop @p2204 :rule scope :premises (@p2203)) % 2.11/2.39 (step-pop @p2205 :rule scope :premises (@p2204)) % 2.11/2.39 (step-pop @p2206 :rule scope :premises (@p2205)) % 2.11/2.39 (step-pop @p2207 :rule scope :premises (@p2206)) % 2.11/2.39 (step-pop @p2208 :rule scope :premises (@p2207)) % 2.11/2.39 (step-pop @p2209 :rule scope :premises (@p2208)) % 2.11/2.39 (step-pop @p2210 :rule scope :premises (@p2209)) % 2.11/2.39 (step-pop @p2211 :rule scope :premises (@p2210)) % 2.11/2.39 (step-pop @p2212 :rule scope :premises (@p2211)) % 2.11/2.39 (step @p1863 :rule process_scope :premises (@p2212) :args (@t169)) % 2.11/2.39 (step @p1956 :rule implies_elim :premises (@p1863)) % 2.11/2.39 (step @p1957 :rule cnf_and_neg :args (@t561)) % 2.11/2.39 (step @p1958 :rule resolution :premises (@p1957 @p1956) :args (true @t561)) % 2.11/2.39 (step @p1959 :rule reordering :premises (@p1958) :args ((or (not @t457) (not @t458) (not @t459) @t155 (not @t460) (not @t461) @t154 @t153 (not @t462) @t152 (not @t463) (not @t464) (not @t465) (not @t466) (not @t467) @t151 (not @t468) (not @t469) (not @t470) (not @t471) (not @t472) (not @t473) (not @t474) (not @t475) (not @t476) (not @t477) (not @t478) (not @t479) (not @t480) @t150 (not @t482) (not @t483) (not @t484) (not @t485) (not @t486) (not @t487) (not @t488) (not @t489) (not @t490) (not @t491) (not @t492) (not @t493) (not @t53) (not @t494) (not @t495) (not @t496) (not @t497) (not @t498) (not @t499) (not @t500) (not @t501) (not @t503) (not @t504) (not @t505) (not @t506) (not @t507) @t149 (not @t508) (not @t509) (not @t510) (not @t512) (not @t513) (not @t514) (not @t515) (not @t517) (not @t519) (not @t521) @t148 (not @t523) (not @t524) (not @t525) (not @t527) (not @t529) (not @t530) (not @t531) (not @t532) (not @t534) (not @t537) (not @t538) (not @t539) @t169 (not @t540) (not @t541) (not @t542) @t171 (not @t545) (not @t547) (not @t550) (not @t553) (not @t187) (not @t555) (not @t557) (not @t559)))) % 2.11/2.39 (step @p1960 false :rule chain_m_resolution :premises (@p1959 @p1705 @p307 @p306 @p305 @p304 @p154 @p153 @p152 @p151 @p150 @p140 @p139 @p138 @p137 @p136 @p135 @p134 @p133 @p132 @p131 @p130 @p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p101 @p100 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p33 @p32 @p31 @p30 @p26 @p25 @p21 @p20 @p19 @p15) :args (false (@list false false false false true 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 false false false false false false false false false false false false false false false false false false) (@list @t187 @t559 @t557 @t555 @t169 @t553 @t550 @t547 @t545 @t107 @t542 @t541 @t540 @t539 @t538 @t537 @t534 @t532 @t531 @t530 @t529 @t527 @t525 @t524 @t523 @t141 @t521 @t519 @t517 @t515 @t514 @t513 @t512 @t510 @t509 @t508 @t136 @t507 @t506 @t505 @t504 @t503 @t501 @t500 @t499 @t498 @t497 @t53 @t496 @t495 @t494 @t493 @t492 @t491 @t490 @t489 @t488 @t487 @t486 @t485 @t484 @t483 @t482 @t133 @t480 @t479 @t478 @t477 @t476 @t475 @t474 @t473 @t472 @t471 @t470 @t469 @t468 @t131 @t467 @t466 @t465 @t464 @t463 @t130 @t462 @t128 @t127 @t461 @t460 @t126 @t459 @t458 @t457))) % 2.11/2.39 ) % 2.11/2.39 % SZS output end Proof % 2.11/2.39 % cvc5 exiting %------------------------------------------------------------------------------