%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT250-1 : TPTP v9.2.1. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:29:59 AM UTC 2026 % Result : Unsatisfiable 0.71s 0.94s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : LAT250-1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.36 % Computer : n029.cluster.edu % 0.18/0.36 % Model : x86_64 x86_64 % 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.36 % Memory : 8042.1875MB % 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.36 % CPULimit : 300 % 0.18/0.36 % WCLimit : 300 % 0.18/0.36 % DateTime : Tue Jun 2 06:06:32 EDT 2026 % 0.18/0.36 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.71/0.94 % SZS status Unsatisfiable % 0.71/0.94 % SZS output start Proof % 0.71/0.96 ( % 0.71/0.96 (declare-sort $$unsorted 0) % 0.71/0.96 (declare-const tptp.b $$unsorted) % 0.71/0.96 (declare-const tptp.a $$unsorted) % 0.71/0.96 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 0.71/0.96 (declare-const tptp.one $$unsorted) % 0.71/0.96 (declare-const tptp.zero $$unsorted) % 0.71/0.96 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.96 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 0.71/0.96 (define @t1 () (@var "X" $$unsorted)) % 0.71/0.96 (define @t2 () (tptp.meet @t1 @t1)) % 0.71/0.96 (define @t3 () (@list @t1)) % 0.71/0.96 (define @t4 () (forall @t3 (= @t2 @t1))) % 0.71/0.96 (define @t5 () (tptp.join @t1 @t1)) % 0.71/0.96 (define @t6 () (forall @t3 (= @t5 @t1))) % 0.71/0.96 (define @t7 () (@var "Y" $$unsorted)) % 0.71/0.96 (define @t8 () (tptp.join @t1 @t7)) % 0.71/0.96 (define @t9 () (tptp.meet @t1 @t8)) % 0.71/0.96 (define @t10 () (@list @t1 @t7)) % 0.71/0.96 (define @t11 () (forall @t10 (= @t9 @t1))) % 0.71/0.96 (define @t12 () (tptp.meet @t1 @t7)) % 0.71/0.96 (define @t13 () (tptp.join @t1 @t12)) % 0.71/0.96 (define @t14 () (forall @t10 (= @t13 @t1))) % 0.71/0.96 (define @t15 () (@var "Z" $$unsorted)) % 0.71/0.96 (define @t16 () (@list @t1 @t7 @t15)) % 0.71/0.96 (define @t17 () (tptp.join @t7 @t15)) % 0.71/0.96 (define @t18 () (tptp.complement @t1)) % 0.71/0.96 (define @t19 () (tptp.join @t1 @t18)) % 0.71/0.96 (define @t20 () (forall @t3 (= @t19 tptp.one))) % 0.71/0.96 (define @t21 () (tptp.meet @t1 @t18)) % 0.71/0.96 (define @t22 () (forall @t3 (= @t21 tptp.zero))) % 0.71/0.96 (define @t23 () (not (= @t8 tptp.one))) % 0.71/0.96 (define @t24 () (not (= @t12 tptp.zero))) % 0.71/0.96 (define @t25 () (or @t24 @t23 (= @t18 @t7))) % 0.71/0.96 (define @t26 () (forall @t10 @t25)) % 0.71/0.96 (define @t27 () (tptp.meet tptp.b tptp.a)) % 0.71/0.96 (define @t28 () (tptp.complement tptp.a)) % 0.71/0.96 (define @t29 () (tptp.complement tptp.b)) % 0.71/0.96 (define @t30 () (tptp.join @t29 @t28)) % 0.71/0.96 (define @t31 () (@list @t29 @t28)) % 0.71/0.96 (define @t32 () (@list tptp.b)) % 0.71/0.96 (define @t33 () (@list tptp.a)) % 0.71/0.96 (define @t34 () (@list @t28 @t29)) % 0.71/0.96 (define @t35 () (@list tptp.b @t29)) % 0.71/0.96 (define @t36 () (@list tptp.a @t28)) % 0.71/0.96 (define @t37 () (@list @t30)) % 0.71/0.96 (define @t38 () (@list @t28 tptp.a)) % 0.71/0.96 (define @t39 () (@list @t29 tptp.b)) % 0.71/0.96 (define @t40 () (tptp.meet tptp.b @t29)) % 0.71/0.96 (define @t41 () (tptp.join @t28 @t29)) % 0.71/0.96 (define @t42 () (@list @t28 @t41)) % 0.71/0.96 (define @t43 () (tptp.join tptp.b @t29)) % 0.71/0.96 (define @t44 () (tptp.meet @t29 @t28)) % 0.71/0.96 (define @t45 () (@list @t29 @t44)) % 0.71/0.96 (define @t46 () (@list @t28 @t41 tptp.a)) % 0.71/0.96 (define @t47 () (tptp.complement @t29)) % 0.71/0.96 (define @t48 () (= tptp.b @t47)) % 0.71/0.96 (define @t49 () (tptp.join @t29 tptp.b)) % 0.71/0.96 (define @t50 () (not (= @t49 tptp.one))) % 0.71/0.96 (define @t51 () (tptp.meet @t29 tptp.b)) % 0.71/0.96 (define @t52 () (not (= @t51 tptp.zero))) % 0.71/0.96 (define @t53 () (or @t52 @t50 @t48)) % 0.71/0.96 (define @t54 () (forall @t10 (or @t24 @t23 (= @t7 @t18)))) % 0.71/0.96 (define @t55 () (= tptp.one @t49)) % 0.71/0.96 (define @t56 () (not @t55)) % 0.71/0.96 (define @t57 () (= tptp.zero @t51)) % 0.71/0.96 (define @t58 () (not @t57)) % 0.71/0.96 (define @t59 () (or @t58 @t56 @t48)) % 0.71/0.96 (define @t60 () (@list false)) % 0.71/0.96 (define @t61 () (@list @t54)) % 0.71/0.96 (define @t62 () (@list false false false)) % 0.71/0.96 (define @t63 () (tptp.meet @t29 @t30)) % 0.71/0.96 (define @t64 () (tptp.join @t27 @t29)) % 0.71/0.96 (define @t65 () (tptp.meet @t41 tptp.a)) % 0.71/0.96 (define @t66 () (tptp.meet @t28 tptp.a)) % 0.71/0.96 (define @t67 () (@list @t28 @t66)) % 0.71/0.96 (define @t68 () (tptp.meet @t29 @t47)) % 0.71/0.96 (define @t69 () (tptp.meet tptp.b tptp.b)) % 0.71/0.96 (define @t70 () (tptp.meet @t69 tptp.a)) % 0.71/0.96 (define @t71 () (tptp.join tptp.b @t70)) % 0.71/0.96 (define @t72 () (tptp.meet @t69 @t71)) % 0.71/0.96 (define @t73 () (tptp.join tptp.a @t68)) % 0.71/0.96 (define @t74 () (tptp.meet @t29 @t73)) % 0.71/0.96 (define @t75 () (tptp.join @t47 @t74)) % 0.71/0.96 (define @t76 () (tptp.meet tptp.a @t28)) % 0.71/0.96 (define @t77 () (tptp.meet @t29 @t75)) % 0.71/0.96 (define @t78 () (tptp.join @t76 @t77)) % 0.71/0.96 (define @t79 () (tptp.meet @t29 @t78)) % 0.71/0.96 (define @t80 () (tptp.join @t75 @t79)) % 0.71/0.96 (define @t81 () (tptp.meet @t28 @t29)) % 0.71/0.96 (define @t82 () (tptp.join @t44 @t44)) % 0.71/0.96 (define @t83 () (tptp.join @t82 @t68)) % 0.71/0.96 (define @t84 () (tptp.complement @t30)) % 0.71/0.96 (define @t85 () (tptp.complement @t84)) % 0.71/0.96 (define @t86 () (= @t30 @t85)) % 0.71/0.96 (define @t87 () (tptp.join @t84 @t30)) % 0.71/0.96 (define @t88 () (not (= @t87 tptp.one))) % 0.71/0.96 (define @t89 () (tptp.meet @t84 @t30)) % 0.71/0.96 (define @t90 () (not (= @t89 tptp.zero))) % 0.71/0.96 (define @t91 () (or @t90 @t88 @t86)) % 0.71/0.96 (define @t92 () (= tptp.one @t87)) % 0.71/0.96 (define @t93 () (not @t92)) % 0.71/0.96 (define @t94 () (= tptp.zero @t89)) % 0.71/0.96 (define @t95 () (not @t94)) % 0.71/0.96 (define @t96 () (or @t95 @t93 @t86)) % 0.71/0.96 (define @t97 () (@list @t30 @t84)) % 0.71/0.96 (define @t98 () (@list @t94 @t92 @t96)) % 0.71/0.96 (define @t99 () (tptp.complement @t80)) % 0.71/0.96 (define @t100 () (tptp.meet @t29 @t80)) % 0.71/0.96 (define @t101 () (tptp.join @t81 @t100)) % 0.71/0.96 (define @t102 () (tptp.meet @t29 @t101)) % 0.71/0.96 (define @t103 () (= @t102 @t99)) % 0.71/0.96 (define @t104 () (tptp.join @t80 @t102)) % 0.71/0.96 (define @t105 () (not (= @t104 tptp.one))) % 0.71/0.96 (define @t106 () (tptp.meet @t80 @t102)) % 0.71/0.96 (define @t107 () (not (= @t106 tptp.zero))) % 0.71/0.96 (define @t108 () (or @t107 @t105 @t103)) % 0.71/0.96 (define @t109 () (= tptp.one @t104)) % 0.71/0.96 (define @t110 () (not @t109)) % 0.71/0.96 (define @t111 () (= tptp.zero @t106)) % 0.71/0.96 (define @t112 () (not @t111)) % 0.71/0.96 (define @t113 () (or @t112 @t110 @t103)) % 0.71/0.96 (define @t114 () (tptp.join @t40 tptp.b)) % 0.71/0.96 (define @t115 () (tptp.join tptp.a @t76)) % 0.71/0.96 (define @t116 () (tptp.join @t47 tptp.a)) % 0.71/0.96 (define @t117 () (tptp.meet @t29 @t116)) % 0.71/0.96 (define @t118 () (tptp.join @t73 @t77)) % 0.71/0.96 (define @t119 () (tptp.meet @t29 @t118)) % 0.71/0.96 (define @t120 () (tptp.join tptp.a tptp.b)) % 0.71/0.96 (define @t121 () (tptp.join @t27 tptp.b)) % 0.71/0.96 (define @t122 () (tptp.join tptp.b @t40)) % 0.71/0.96 (define @t123 () (tptp.meet tptp.b @t64)) % 0.71/0.96 (define @t124 () (tptp.join tptp.b @t123)) % 0.71/0.96 (define @t125 () (tptp.meet tptp.b @t63)) % 0.71/0.96 (define @t126 () (tptp.meet @t40 @t30)) % 0.71/0.96 (define @t127 () (tptp.join @t40 @t126)) % 0.71/0.96 (define @t128 () (tptp.join @t29 @t68)) % 0.71/0.96 (define @t129 () (tptp.join @t40 @t29)) % 0.71/0.96 (define @t130 () (tptp.meet @t40 @t129)) % 0.71/0.96 (define @t131 () (tptp.meet @t47 @t30)) % 0.71/0.96 (define @t132 () (tptp.join tptp.b @t63)) % 0.71/0.96 (define @t133 () (tptp.meet tptp.b @t43)) % 0.71/0.96 (define @t134 () (tptp.join @t29 @t133)) % 0.71/0.96 (define @t135 () (tptp.meet tptp.b @t134)) % 0.71/0.96 (define @t136 () (tptp.meet tptp.b @t27)) % 0.71/0.96 (define @t137 () (tptp.join @t28 tptp.a)) % 0.71/0.96 (define @t138 () (tptp.join @t137 @t72)) % 0.71/0.96 (define @t139 () (tptp.join @t28 tptp.b)) % 0.71/0.96 (define @t140 () (tptp.join @t75 @t28)) % 0.71/0.96 (define @t141 () (tptp.meet @t29 @t140)) % 0.71/0.96 (define @t142 () (tptp.join @t28 @t66)) % 0.71/0.96 (define @t143 () (tptp.join @t80 @t81)) % 0.71/0.96 (define @t144 () (tptp.join @t75 tptp.b)) % 0.71/0.96 (define @t145 () (tptp.meet @t29 @t144)) % 0.71/0.96 (define @t146 () (tptp.join @t75 @t76)) % 0.71/0.96 (define @t147 () (tptp.meet @t29 @t146)) % 0.71/0.96 (define @t148 () (tptp.join @t28 @t100)) % 0.71/0.96 (define @t149 () (tptp.meet @t29 @t148)) % 0.71/0.96 (define @t150 () (tptp.join @t80 @t149)) % 0.71/0.96 (define @t151 () (tptp.meet @t29 @t143)) % 0.71/0.96 (define @t152 () (tptp.meet @t29 @t104)) % 0.71/0.96 (define @t153 () (tptp.meet @t41 @t28)) % 0.71/0.96 (define @t154 () (tptp.meet @t28 @t41)) % 0.71/0.96 (define @t155 () (tptp.join @t30 @t154)) % 0.71/0.96 (define @t156 () (tptp.join tptp.a @t154)) % 0.71/0.96 (define @t157 () (tptp.meet @t28 @t156)) % 0.71/0.96 (define @t158 () (tptp.join @t41 @t157)) % 0.71/0.96 (define @t159 () (tptp.meet @t28 @t158)) % 0.71/0.96 (define @t160 () (tptp.meet @t28 (tptp.join @t41 tptp.a))) % 0.71/0.96 (define @t161 () (tptp.join @t28 @t160)) % 0.71/0.96 (define @t162 () (tptp.meet @t154 tptp.a)) % 0.71/0.96 (define @t163 () (tptp.meet @t65 @t28)) % 0.71/0.96 (define @t164 () (tptp.meet @t66 @t28)) % 0.71/0.96 (define @t165 () (tptp.meet @t28 @t100)) % 0.71/0.96 (define @t166 () (tptp.meet @t82 @t47)) % 0.71/0.96 (define @t167 () (tptp.join @t82 @t166)) % 0.71/0.96 (define @t168 () (tptp.meet @t29 @t44)) % 0.71/0.96 (define @t169 () (tptp.meet @t29 @t154)) % 0.71/0.96 (define @t170 () (tptp.meet @t30 @t30)) % 0.71/0.96 (define @t171 () (tptp.meet @t81 @t170)) % 0.71/0.96 (define @t172 () (tptp.join @t29 @t171)) % 0.71/0.96 (define @t173 () (tptp.join @t44 @t63)) % 0.71/0.96 (define @t174 () (tptp.meet @t44 @t173)) % 0.71/0.96 (define @t175 () (tptp.meet @t29 (tptp.join @t28 @t77))) % 0.71/0.96 (define @t176 () (tptp.join @t75 @t175)) % 0.71/0.96 (define @t177 () (tptp.meet @t30 @t28)) % 0.71/0.96 (define @t178 () (tptp.join @t29 (tptp.meet @t29 @t177))) % 0.71/0.96 (define @t179 () (tptp.join @t29 @t44)) % 0.71/0.96 (define @t180 () (tptp.meet @t29 @t176)) % 0.71/0.96 (define @t181 () (tptp.join @t40 @t180)) % 0.71/0.96 (define @t182 () (tptp.meet @t29 @t181)) % 0.71/0.96 (define @t183 () (@list @t75 @t175)) % 0.71/0.96 (define @t184 () (tptp.join @t82 @t47)) % 0.71/0.96 (define @t185 () (not @t103)) % 0.71/0.96 (define @t186 () (not @t86)) % 0.71/0.96 (define @t187 () (= @t82 @t167)) % 0.71/0.96 (define @t188 () (not @t187)) % 0.71/0.96 (define @t189 () (tptp.join @t83 @t83)) % 0.71/0.96 (define @t190 () (= @t83 @t189)) % 0.71/0.96 (define @t191 () (not @t190)) % 0.71/0.96 (define @t192 () (= @t151 @t152)) % 0.71/0.96 (define @t193 () (not @t192)) % 0.71/0.96 (define @t194 () (= (tptp.meet @t81 @t80) @t165)) % 0.71/0.96 (define @t195 () (not @t194)) % 0.71/0.96 (define @t196 () (= @t79 (tptp.meet @t78 @t29))) % 0.71/0.96 (define @t197 () (not @t196)) % 0.71/0.96 (define @t198 () (= (tptp.meet @t28 @t66) @t164)) % 0.71/0.96 (define @t199 () (not @t198)) % 0.71/0.96 (define @t200 () (= @t40 @t130)) % 0.71/0.96 (define @t201 () (not @t200)) % 0.71/0.96 (define @t202 () (tptp.join @t66 @t28)) % 0.71/0.96 (define @t203 () (= @t66 (tptp.meet @t66 @t202))) % 0.71/0.96 (define @t204 () (not @t203)) % 0.71/0.96 (define @t205 () (= @t141 @t180)) % 0.71/0.96 (define @t206 () (not @t205)) % 0.71/0.96 (define @t207 () (= @t147 @t100)) % 0.71/0.96 (define @t208 () (not @t207)) % 0.71/0.96 (define @t209 () (= (tptp.meet @t29 (tptp.join @t73 @t47)) @t119)) % 0.71/0.96 (define @t210 () (not @t209)) % 0.71/0.96 (define @t211 () (= @t145 (tptp.meet @t29 (tptp.join @t75 (tptp.meet @t29 (tptp.join tptp.b @t77)))))) % 0.71/0.96 (define @t212 () (not @t211)) % 0.71/0.96 (define @t213 () (= @t138 (tptp.join @t28 (tptp.join tptp.a @t72)))) % 0.71/0.96 (define @t214 () (not @t213)) % 0.71/0.96 (define @t215 () (= @t128 (tptp.join @t68 @t29))) % 0.71/0.96 (define @t216 () (not @t215)) % 0.71/0.96 (define @t217 () (= @t139 (tptp.join tptp.b @t28))) % 0.71/0.96 (define @t218 () (not @t217)) % 0.71/0.96 (define @t219 () (= @t142 @t202)) % 0.71/0.96 (define @t220 () (not @t219)) % 0.71/0.96 (define @t221 () (= @t168 (tptp.meet @t44 @t29))) % 0.71/0.96 (define @t222 () (not @t221)) % 0.71/0.96 (define @t223 () (tptp.meet @t28 @t65)) % 0.71/0.96 (define @t224 () (= @t223 @t163)) % 0.71/0.96 (define @t225 () (not @t224)) % 0.71/0.96 (define @t226 () (= tptp.b @t124)) % 0.71/0.96 (define @t227 () (not @t226)) % 0.71/0.96 (define @t228 () (tptp.meet @t43 tptp.b)) % 0.71/0.96 (define @t229 () (= @t43 (tptp.join @t43 @t228))) % 0.71/0.96 (define @t230 () (not @t229)) % 0.71/0.96 (define @t231 () (= @t44 @t174)) % 0.71/0.96 (define @t232 () (not @t231)) % 0.71/0.96 (define @t233 () (= @t44 @t82)) % 0.71/0.96 (define @t234 () (not @t233)) % 0.71/0.96 (define @t235 () (= @t117 @t77)) % 0.71/0.96 (define @t236 () (not @t235)) % 0.71/0.96 (define @t237 () (= @t160 @t159)) % 0.71/0.96 (define @t238 () (not @t237)) % 0.71/0.96 (define @t239 () (not @t48)) % 0.71/0.96 (define @t240 () (= (tptp.meet @t44 @t41) @t169)) % 0.71/0.96 (define @t241 () (not @t240)) % 0.71/0.96 (define @t242 () (= @t162 @t223)) % 0.71/0.96 (define @t243 () (not @t242)) % 0.71/0.96 (define @t244 () (= @t122 @t114)) % 0.71/0.96 (define @t245 () (not @t244)) % 0.71/0.96 (define @t246 () (= @t179 (tptp.join @t44 @t29))) % 0.71/0.96 (define @t247 () (not @t246)) % 0.71/0.96 (define @t248 () (= @t133 @t228)) % 0.71/0.96 (define @t249 () (not @t248)) % 0.71/0.96 (define @t250 () (= @t154 @t153)) % 0.71/0.96 (define @t251 () (not @t250)) % 0.71/0.96 (define @t252 () (= @t30 (tptp.join @t30 @t177))) % 0.71/0.96 (define @t253 () (not @t252)) % 0.71/0.96 (define @t254 () (= @t29 (tptp.join @t29 @t51))) % 0.71/0.96 (define @t255 () (not @t254)) % 0.71/0.96 (define @t256 () (= @t28 (tptp.join @t28 @t154))) % 0.71/0.96 (define @t257 () (not @t256)) % 0.71/0.96 (define @t258 () (tptp.join @t28 @t81)) % 0.71/0.96 (define @t259 () (= @t28 @t258)) % 0.71/0.96 (define @t260 () (not @t259)) % 0.71/0.96 (define @t261 () (= @t28 @t142)) % 0.71/0.96 (define @t262 () (not @t261)) % 0.71/0.96 (define @t263 () (= @t40 @t127)) % 0.71/0.96 (define @t264 () (not @t263)) % 0.71/0.96 (define @t265 () (= @t29 (tptp.meet @t29 @t49))) % 0.71/0.96 (define @t266 () (not @t265)) % 0.71/0.96 (define @t267 () (= @t28 (tptp.meet @t28 @t137))) % 0.71/0.96 (define @t268 () (not @t267)) % 0.71/0.96 (define @t269 () (= @t30 @t170)) % 0.71/0.96 (define @t270 () (not @t269)) % 0.71/0.96 (define @t271 () (= tptp.zero @t68)) % 0.71/0.96 (define @t272 () (not @t271)) % 0.71/0.96 (define @t273 () (= @t126 @t125)) % 0.71/0.96 (define @t274 () (not @t273)) % 0.71/0.96 (define @t275 () (= @t43 @t49)) % 0.71/0.96 (define @t276 () (not @t275)) % 0.71/0.96 (define @t277 () (tptp.join tptp.b @t27)) % 0.71/0.96 (define @t278 () (= @t277 @t121)) % 0.71/0.96 (define @t279 () (not @t278)) % 0.71/0.96 (define @t280 () (tptp.join tptp.a @t28)) % 0.71/0.96 (define @t281 () (= @t280 @t137)) % 0.71/0.96 (define @t282 () (not @t281)) % 0.71/0.96 (define @t283 () (= @t40 @t51)) % 0.71/0.96 (define @t284 () (not @t283)) % 0.71/0.96 (define @t285 () (= @t44 @t81)) % 0.71/0.96 (define @t286 () (not @t285)) % 0.71/0.96 (define @t287 () (= @t76 @t66)) % 0.71/0.96 (define @t288 () (not @t287)) % 0.71/0.96 (define @t289 () (= tptp.b (tptp.join tptp.b @t69))) % 0.71/0.96 (define @t290 () (not @t289)) % 0.71/0.96 (define @t291 () (= tptp.b @t122)) % 0.71/0.96 (define @t292 () (not @t291)) % 0.71/0.96 (define @t293 () (= @t29 @t179)) % 0.71/0.96 (define @t294 () (not @t293)) % 0.71/0.96 (define @t295 () (= tptp.a @t115)) % 0.71/0.96 (define @t296 () (not @t295)) % 0.71/0.96 (define @t297 () (= tptp.b @t133)) % 0.71/0.96 (define @t298 () (not @t297)) % 0.71/0.96 (define @t299 () (= @t28 @t154)) % 0.71/0.96 (define @t300 () (not @t299)) % 0.71/0.96 (define @t301 () (= tptp.b @t69)) % 0.71/0.96 (define @t302 () (not @t301)) % 0.71/0.96 (define @t303 () (= tptp.zero @t76)) % 0.71/0.96 (define @t304 () (not @t303)) % 0.71/0.96 (define @t305 () (= tptp.zero @t40)) % 0.71/0.96 (define @t306 () (not @t305)) % 0.71/0.96 (define @t307 () (= tptp.one @t280)) % 0.71/0.96 (define @t308 () (not @t307)) % 0.71/0.96 (define @t309 () (= tptp.one @t43)) % 0.71/0.96 (define @t310 () (not @t309)) % 0.71/0.96 (define @t311 () (= @t70 @t136)) % 0.71/0.96 (define @t312 () (not @t311)) % 0.71/0.96 (define @t313 () (= @t30 @t41)) % 0.71/0.96 (define @t314 () (not @t313)) % 0.71/0.96 (define @t315 () (= tptp.b @t277)) % 0.71/0.96 (define @t316 () (not @t315)) % 0.71/0.96 (define @t317 () (= @t29 @t63)) % 0.71/0.96 (define @t318 () (not @t317)) % 0.71/0.96 (define @t319 () (= @t28 @t30)) % 0.71/0.96 (define @t320 () (= tptp.a @t27)) % 0.71/0.96 (define @t321 () (not @t320)) % 0.71/0.96 (define @t322 () (not @t319)) % 0.71/0.96 (define @t323 () (= @t28 @t85)) % 0.71/0.96 (define @t324 () (tptp.join @t28 @t63)) % 0.71/0.96 (define @t325 () (tptp.join @t81 @t66)) % 0.71/0.96 (define @t326 () (tptp.join @t82 @t76)) % 0.71/0.96 (define @t327 () (tptp.join @t325 @t325)) % 0.71/0.96 (define @t328 () (tptp.join @t327 @t325)) % 0.71/0.96 (define @t329 () (tptp.join @t325 @t81)) % 0.71/0.96 (define @t330 () (tptp.join @t83 @t44)) % 0.71/0.96 (define @t331 () (tptp.join @t83 @t326)) % 0.71/0.96 (define @t332 () (tptp.join @t189 @t330)) % 0.71/0.96 (define @t333 () (tptp.join @t327 @t329)) % 0.71/0.96 (define @t334 () (tptp.join @t28 @t333)) % 0.71/0.96 (define @t335 () (and @t299 @t323 @t86 @t322)) % 0.71/0.96 (assume @p1 @t4) % 0.71/0.96 (assume @p2 @t6) % 0.71/0.96 (assume @p3 @t11) % 0.71/0.96 (assume @p4 @t14) % 0.71/0.96 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 0.71/0.96 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 0.71/0.96 (assume @p7 (forall @t16 (= (tptp.meet @t12 @t15) (tptp.meet @t1 (tptp.meet @t7 @t15))))) % 0.71/0.96 (assume @p8 (forall @t16 (= (tptp.join @t8 @t15) (tptp.join @t1 @t17)))) % 0.71/0.96 (assume @p9 @t20) % 0.71/0.96 (assume @p10 @t22) % 0.71/0.96 (assume @p11 @t26) % 0.71/0.96 (assume @p12 (forall @t16 (= (tptp.meet @t1 @t17) (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t1 (tptp.join @t15 @t12))))))) % 0.71/0.96 (assume @p13 (= @t27 tptp.a)) % 0.71/0.96 (assume @p14 (not (= @t30 @t28))) % 0.71/0.96 (step @p15 :rule symm :premises (@p13)) % 0.71/0.96 (step @p16 :rule symm :premises (@p14)) % 0.71/0.96 (step @p17 :rule eq-symm :args (@t9 @t1)) % 0.71/0.96 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 0.71/0.96 (step @p19 :rule eq_resolve :premises (@p3 @p18)) % 0.71/0.96 (step @p20 :rule instantiate :premises (@p19) :args (@t31)) % 0.71/0.96 (step @p21 :rule eq-symm :args (@t13 @t1)) % 0.71/0.96 (step @p22 :rule cong :premises (@p21) :args (@t14)) % 0.71/0.96 (step @p23 :rule eq_resolve :premises (@p4 @p22)) % 0.71/0.96 (step @p24 :rule instantiate :premises (@p23) :args ((@list tptp.b tptp.a))) % 0.71/0.96 (step @p25 :rule instantiate :premises (@p6) :args (@t31)) % 0.71/0.96 (step @p26 :rule instantiate :premises (@p7) :args ((@list tptp.b tptp.b tptp.a))) % 0.71/0.96 (step @p27 :rule eq-symm :args (@t19 tptp.one)) % 0.71/0.96 (step @p28 :rule cong :premises (@p27) :args (@t20)) % 0.71/0.96 (step @p29 :rule eq_resolve :premises (@p9 @p28)) % 0.71/0.96 (step @p30 :rule instantiate :premises (@p29) :args (@t32)) % 0.71/0.96 (step @p31 :rule instantiate :premises (@p29) :args (@t33)) % 0.71/0.96 (step @p32 :rule eq-symm :args (@t21 tptp.zero)) % 0.71/0.96 (step @p33 :rule cong :premises (@p32) :args (@t22)) % 0.71/0.96 (step @p34 :rule eq_resolve :premises 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% 0.71/0.96 (step @p49 :rule instantiate :premises (@p5) :args (@t35)) % 0.71/0.96 (step @p50 :rule instantiate :premises (@p6) :args (@t36)) % 0.71/0.96 (step @p51 :rule instantiate :premises (@p6) :args ((@list tptp.b @t27))) % 0.71/0.96 (step @p52 :rule instantiate :premises (@p6) :args (@t35)) % 0.71/0.96 (step @p53 :rule instantiate :premises (@p7) :args ((@list tptp.b @t29 @t30))) % 0.71/0.96 (step @p54 :rule instantiate :premises (@p34) :args ((@list @t29))) % 0.71/0.96 (step @p55 :rule instantiate :premises (@p39) :args (@t37)) % 0.71/0.96 (step @p56 :rule instantiate :premises (@p19) :args (@t38)) % 0.71/0.96 (step @p57 :rule instantiate :premises (@p19) :args (@t39)) % 0.71/0.96 (step @p58 :rule instantiate :premises (@p23) :args ((@list @t40 @t30))) % 0.71/0.96 (step @p59 :rule instantiate :premises (@p23) :args (@t38)) % 0.71/0.96 (step @p60 :rule instantiate :premises (@p23) :args (@t34)) % 0.71/0.96 (step @p61 :rule instantiate :premises (@p23) :args (@t42)) % 0.71/0.96 (step @p62 :rule instantiate :premises (@p23) :args (@t39)) % 0.71/0.96 (step @p63 :rule instantiate :premises (@p23) :args ((@list @t30 @t28))) % 0.71/0.96 (step @p64 :rule instantiate :premises (@p5) :args (@t42)) % 0.71/0.96 (step @p65 :rule instantiate :premises (@p5) :args ((@list tptp.b @t43))) % 0.71/0.96 (step @p66 :rule instantiate :premises (@p6) :args (@t45)) % 0.71/0.96 (step @p67 :rule instantiate :premises (@p6) :args ((@list tptp.b @t40))) % 0.71/0.96 (step @p68 :rule instantiate :premises (@p7) :args (@t46)) % 0.71/0.96 (step @p69 :rule instantiate :premises (@p7) :args ((@list @t29 @t28 @t41))) % 0.71/0.96 (step @p70 :rule instantiate :premises (@p12) :args (@t46)) % 0.71/0.96 (step @p71 :rule instantiate :premises (@p12) :args ((@list @t29 @t47 tptp.a))) % 0.71/0.96 (step @p72 :rule eq-symm :args (@t18 @t7)) % 0.71/0.96 (step @p73 :rule refl :args (@t23)) % 0.71/0.96 (step @p74 :rule refl :args (@t24)) % 0.71/0.96 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t25)) % 0.71/0.96 (step @p76 :rule cong :premises (@p75) :args (@t26)) % 0.71/0.96 (step @p77 :rule eq_resolve :premises (@p11 @p76)) % 0.71/0.96 (step @p78 :rule refl :args (@t48)) % 0.71/0.96 (step @p79 :rule eq-symm :args (@t49 tptp.one)) % 0.71/0.96 (step @p80 :rule cong :premises (@p79) :args (@t50)) % 0.71/0.96 (step @p81 :rule eq-symm :args (@t51 tptp.zero)) % 0.71/0.96 (step @p82 :rule cong :premises (@p81) :args (@t52)) % 0.71/0.96 (step @p83 :rule nary_cong :premises (@p82 @p80 @p78) :args (@t53)) % 0.71/0.96 (step @p84 :rule refl :args (@t54)) % 0.71/0.96 (step @p85 :rule cong :premises (@p84 @p83) :args ((=> @t54 @t53))) % 0.71/0.96 (assume-push @p729 @t54) % 0.71/0.96 (step @p87 :rule instantiate :premises (@p77) :args (@t39)) % 0.71/0.96 (step-pop @p730 :rule scope :premises (@p87)) % 0.71/0.96 (step @p88 :rule process_scope :premises (@p730) :args (@t53)) % 0.71/0.96 (step @p90 :rule eq_resolve :premises (@p88 @p85)) % 0.71/0.96 (step @p91 :rule implies_elim 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:args ((@list tptp.b @t64))) % 0.71/0.96 (step @p105 :rule instantiate :premises (@p5) :args ((@list @t28 @t65))) % 0.71/0.96 (step @p106 :rule instantiate :premises (@p5) :args (@t45)) % 0.71/0.96 (step @p107 :rule instantiate :premises (@p6) :args (@t67)) % 0.71/0.96 (step @p108 :rule instantiate :premises (@p6) :args ((@list @t28 tptp.b))) % 0.71/0.96 (step @p109 :rule instantiate :premises (@p6) :args ((@list @t29 @t68))) % 0.71/0.96 (step @p110 :rule instantiate :premises (@p8) :args ((@list @t28 tptp.a @t72))) % 0.71/0.96 (step @p111 :rule instantiate :premises (@p12) :args ((@list @t29 @t75 tptp.b))) % 0.71/0.96 (step @p112 :rule instantiate :premises (@p12) :args ((@list @t29 @t73 @t47))) % 0.71/0.96 (step @p113 :rule instantiate :premises (@p12) :args ((@list @t29 @t75 @t76))) % 0.71/0.96 (step @p114 :rule instantiate :premises (@p12) :args ((@list @t29 @t75 @t28))) % 0.71/0.96 (step @p115 :rule instantiate :premises (@p19) :args ((@list @t66 @t28))) % 0.71/0.96 (step @p116 :rule instantiate :premises (@p19) :args ((@list @t40 @t29))) % 0.71/0.96 (step @p117 :rule instantiate :premises (@p5) :args (@t67)) % 0.71/0.96 (step @p118 :rule instantiate :premises (@p5) :args ((@list @t29 @t78))) % 0.71/0.96 (step @p119 :rule instantiate :premises (@p7) :args ((@list @t28 @t29 @t80))) % 0.71/0.96 (step @p120 :rule instantiate :premises (@p12) :args ((@list @t29 @t80 @t81))) % 0.71/0.96 (step @p121 :rule instantiate :premises (@p100) :args ((@list @t83))) % 0.71/0.96 (step @p122 :rule instantiate :premises (@p23) :args ((@list @t82 @t47))) % 0.71/0.96 (step @p123 :rule refl :args (@t86)) % 0.71/0.96 (step @p124 :rule eq-symm :args (@t87 tptp.one)) % 0.71/0.96 (step @p125 :rule cong :premises (@p124) :args (@t88)) % 0.71/0.96 (step @p126 :rule eq-symm :args (@t89 tptp.zero)) % 0.71/0.96 (step @p127 :rule cong :premises (@p126) :args (@t90)) % 0.71/0.96 (step @p128 :rule nary_cong :premises (@p127 @p125 @p123) :args (@t91)) % 0.71/0.96 (step @p129 :rule cong 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(step @p562 :rule trans :premises (@p561 @p559 @p549 @p543 @p534 @p533 @p532 @p321 @p102 @p385 @p379 @p370 @p369 @p317 @p454 @p531 @p20)) % 0.71/0.96 (step @p563 :rule cong :premises (@p269 @p562) :args (@t334)) % 0.71/0.96 (step @p564 :rule symm :premises (@p561)) % 0.71/0.96 (step @p565 :rule symm :premises (@p559)) % 0.71/0.96 (step @p566 :rule symm :premises (@p549)) % 0.71/0.96 (step @p567 :rule symm :premises (@p543)) % 0.71/0.96 (step @p568 :rule trans :premises (@p283 @p101 @p122 @p366 @p121 @p567 @p566 @p565 @p564)) % 0.71/0.96 (step @p569 :rule cong :premises (@p269 @p568) :args (@t258)) % 0.71/0.96 (step @p653 :rule trans :premises (@p60 @p569 @p563 @p530 @p329 @p145)) % 0.71/0.96 (step @p654 :rule and_intro :premises (@p41 @p653 @p145 @p16)) % 0.71/0.96 (step-pop @p810 :rule scope :premises (@p654)) % 0.71/0.96 (step-pop @p811 :rule scope :premises (@p810)) % 0.71/0.96 (step-pop @p812 :rule scope :premises (@p811)) % 0.71/0.96 (step-pop @p813 :rule scope :premises (@p812)) 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scope :premises (@p863)) % 0.71/0.96 (step-pop @p865 :rule scope :premises (@p864)) % 0.71/0.96 (step-pop @p866 :rule scope :premises (@p865)) % 0.71/0.96 (step-pop @p867 :rule scope :premises (@p866)) % 0.71/0.96 (step-pop @p868 :rule scope :premises (@p867)) % 0.71/0.96 (step-pop @p869 :rule scope :premises (@p868)) % 0.71/0.96 (step-pop @p870 :rule scope :premises (@p869)) % 0.71/0.96 (step-pop @p871 :rule scope :premises (@p870)) % 0.71/0.96 (step-pop @p872 :rule scope :premises (@p871)) % 0.71/0.96 (step-pop @p873 :rule scope :premises (@p872)) % 0.71/0.96 (step-pop @p874 :rule scope :premises (@p873)) % 0.71/0.96 (step-pop @p875 :rule scope :premises (@p874)) % 0.71/0.96 (step-pop @p876 :rule scope :premises (@p875)) % 0.71/0.96 (step @p655 :rule process_scope :premises (@p876) :args (@t335)) % 0.71/0.96 (step @p723 :rule implies_elim :premises (@p655)) % 0.71/0.96 (step @p724 :rule resolution :premises (@p723 @p581) :args (true @t335)) % 0.71/0.96 (step @p725 :rule not_and :premises (@p724)) % 0.71/0.96 (step @p726 :rule eq_resolve :premises (@p725 @p522)) % 0.71/0.96 (step @p727 :rule reordering :premises (@p726) :args ((or @t319 @t321 @t318 @t316 @t314 @t312 @t310 @t308 @t306 @t304 @t302 @t300 @t298 @t296 @t294 @t292 @t290 @t288 @t286 @t284 @t282 @t279 @t276 @t274 @t272 @t270 @t268 @t266 @t264 @t262 @t260 @t257 @t255 @t253 @t251 @t249 @t247 @t245 @t243 @t241 @t239 @t238 @t236 @t234 @t232 @t230 @t227 @t225 @t222 @t220 @t218 @t216 @t214 @t212 @t210 @t208 @t206 @t204 @t201 @t199 @t197 @t195 @t193 @t191 @t188 @t186 @t185))) % 0.71/0.96 (step @p728 false :rule chain_m_resolution :premises (@p727 @p454 @p145 @p122 @p121 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p97 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p59 @p58 @p57 @p56 @p55 @p54 @p53 @p52 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p36 @p35 @p31 @p30 @p26 @p25 @p24 @p20 @p16 @p15) :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 true false) (@list @t103 @t86 @t187 @t190 @t192 @t194 @t196 @t198 @t200 @t203 @t205 @t207 @t209 @t211 @t213 @t215 @t217 @t219 @t221 @t224 @t226 @t229 @t231 @t233 @t48 @t235 @t237 @t240 @t242 @t244 @t246 @t248 @t250 @t252 @t254 @t256 @t259 @t261 @t263 @t265 @t267 @t269 @t271 @t273 @t275 @t278 @t281 @t283 @t285 @t287 @t289 @t291 @t293 @t295 @t297 @t299 @t301 @t303 @t305 @t307 @t309 @t311 @t313 @t315 @t317 @t319 @t320))) % 0.71/0.96 ) % 0.71/0.96 % SZS output end Proof % 0.71/0.96 % cvc5 exiting %------------------------------------------------------------------------------