%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT154-1 : 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 : n019.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 08:29:50 AM UTC 2026 % Result : Unsatisfiable 1.22s 1.40s % Output : Proof 1.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT154-1 : TPTP v9.2.1. Released v3.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n019.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 05:54:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.22/1.40 % SZS status Unsatisfiable % 1.22/1.40 % SZS output start Proof % 1.22/1.41 ( % 1.22/1.41 (declare-sort $$unsorted 0) % 1.22/1.41 (declare-const tptp.c $$unsorted) % 1.22/1.41 (declare-const tptp.a $$unsorted) % 1.22/1.41 (declare-const tptp.b $$unsorted) % 1.22/1.41 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.41 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.41 (define @t1 () (@var "X" $$unsorted)) % 1.22/1.41 (define @t2 () (tptp.meet @t1 @t1)) % 1.22/1.41 (define @t3 () (@list @t1)) % 1.22/1.41 (define @t4 () (forall @t3 (= @t2 @t1))) % 1.22/1.41 (define @t5 () (tptp.join @t1 @t1)) % 1.22/1.41 (define @t6 () (forall @t3 (= @t5 @t1))) % 1.22/1.41 (define @t7 () (@var "Y" $$unsorted)) % 1.22/1.41 (define @t8 () (tptp.join @t1 @t7)) % 1.22/1.41 (define @t9 () (tptp.meet @t1 @t8)) % 1.22/1.41 (define @t10 () (@list @t1 @t7)) % 1.22/1.41 (define @t11 () (forall @t10 (= @t9 @t1))) % 1.22/1.41 (define @t12 () (tptp.meet @t1 @t7)) % 1.22/1.41 (define @t13 () (tptp.join @t1 @t12)) % 1.22/1.41 (define @t14 () (forall @t10 (= @t13 @t1))) % 1.22/1.41 (define @t15 () (@var "Z" $$unsorted)) % 1.22/1.41 (define @t16 () (@list @t1 @t7 @t15)) % 1.22/1.41 (define @t17 () (forall @t16 (= (tptp.meet @t12 @t15) (tptp.meet @t1 (tptp.meet @t7 @t15))))) % 1.22/1.41 (define @t18 () (forall @t16 (= (tptp.join @t8 @t15) (tptp.join @t1 (tptp.join @t7 @t15))))) % 1.22/1.41 (define @t19 () (@var "U" $$unsorted)) % 1.22/1.41 (define @t20 () (tptp.join tptp.a tptp.b)) % 1.22/1.41 (define @t21 () (tptp.meet tptp.c @t20)) % 1.22/1.41 (define @t22 () (tptp.meet tptp.a tptp.c)) % 1.22/1.41 (define @t23 () (tptp.join tptp.b @t22)) % 1.22/1.41 (define @t24 () (tptp.meet tptp.a @t23)) % 1.22/1.41 (define @t25 () (tptp.join @t24 @t21)) % 1.22/1.41 (define @t26 () (tptp.meet tptp.a @t25)) % 1.22/1.41 (define @t27 () (= @t24 @t26)) % 1.22/1.41 (define @t28 () (@list tptp.a tptp.b)) % 1.22/1.41 (define @t29 () (@list tptp.b @t22)) % 1.22/1.41 (define @t30 () (@list @t24 @t21)) % 1.22/1.41 (define @t31 () (@list tptp.a tptp.c)) % 1.22/1.41 (define @t32 () (@list tptp.a @t23)) % 1.22/1.41 (define @t33 () (@list tptp.a @t25)) % 1.22/1.41 (define @t34 () (@list tptp.c @t20)) % 1.22/1.41 (define @t35 () (@list tptp.a @t22)) % 1.22/1.41 (define @t36 () (tptp.join @t24 @t23)) % 1.22/1.41 (define @t37 () (tptp.meet @t24 tptp.a)) % 1.22/1.41 (define @t38 () (tptp.join @t21 @t37)) % 1.22/1.41 (define @t39 () (@list @t24 tptp.a)) % 1.22/1.41 (define @t40 () (tptp.join @t22 tptp.b)) % 1.22/1.41 (define @t41 () (tptp.meet @t20 tptp.c)) % 1.22/1.41 (define @t42 () (tptp.join tptp.a tptp.a)) % 1.22/1.41 (define @t43 () (tptp.meet @t25 @t42)) % 1.22/1.41 (define @t44 () (tptp.join tptp.b @t43)) % 1.22/1.41 (define @t45 () (tptp.join tptp.a @t26)) % 1.22/1.41 (define @t46 () (tptp.join tptp.b @t45)) % 1.22/1.41 (define @t47 () (tptp.join tptp.b (tptp.meet @t25 @t46))) % 1.22/1.41 (define @t48 () (tptp.meet tptp.c tptp.a)) % 1.22/1.41 (define @t49 () (tptp.join tptp.b @t48)) % 1.22/1.41 (define @t50 () (tptp.join @t24 @t49)) % 1.22/1.41 (define @t51 () (tptp.meet tptp.a @t50)) % 1.22/1.41 (define @t52 () (tptp.join @t24 @t51)) % 1.22/1.41 (define @t53 () (tptp.meet @t23 tptp.a)) % 1.22/1.41 (define @t54 () (tptp.join @t21 @t48)) % 1.22/1.41 (define @t55 () (tptp.meet tptp.b @t23)) % 1.22/1.41 (define @t56 () (tptp.join @t26 @t24)) % 1.22/1.41 (define @t57 () (tptp.join @t26 @t26)) % 1.22/1.41 (define @t58 () (tptp.meet @t24 tptp.c)) % 1.22/1.41 (define @t59 () (tptp.join tptp.a @t21)) % 1.22/1.41 (define @t60 () (tptp.join @t59 @t37)) % 1.22/1.41 (define @t61 () (tptp.join tptp.a @t38)) % 1.22/1.41 (define @t62 () (= @t60 @t61)) % 1.22/1.41 (define @t63 () (= @t61 @t60)) % 1.22/1.41 (define @t64 () (@list false)) % 1.22/1.41 (define @t65 () (tptp.meet tptp.a @t61)) % 1.22/1.41 (define @t66 () (tptp.meet tptp.a tptp.a)) % 1.22/1.41 (define @t67 () (tptp.join @t38 @t66)) % 1.22/1.41 (define @t68 () (tptp.join @t26 tptp.b)) % 1.22/1.41 (define @t69 () (tptp.meet tptp.c @t24)) % 1.22/1.41 (define @t70 () (tptp.join @t21 @t21)) % 1.22/1.41 (define @t71 () (tptp.join @t70 @t69)) % 1.22/1.41 (define @t72 () (tptp.join tptp.b tptp.a)) % 1.22/1.41 (define @t73 () (tptp.meet tptp.a (tptp.join tptp.a @t67))) % 1.22/1.41 (define @t74 () (tptp.join tptp.a @t73)) % 1.22/1.41 (define @t75 () (tptp.meet (tptp.meet @t68 tptp.a) @t25)) % 1.22/1.41 (define @t76 () (tptp.meet @t68 @t26)) % 1.22/1.41 (define @t77 () (= @t75 @t76)) % 1.22/1.41 (define @t78 () (@list @t68 tptp.a @t25)) % 1.22/1.41 (define @t79 () (= @t76 @t75)) % 1.22/1.41 (define @t80 () (tptp.meet tptp.a @t20)) % 1.22/1.41 (define @t81 () (= tptp.a @t80)) % 1.22/1.41 (define @t82 () (= tptp.b @t55)) % 1.22/1.41 (define @t83 () (tptp.meet @t24 @t25)) % 1.22/1.41 (define @t84 () (= @t24 @t83)) % 1.22/1.41 (define @t85 () (tptp.join tptp.a @t22)) % 1.22/1.41 (define @t86 () (= tptp.a @t85)) % 1.22/1.41 (define @t87 () (tptp.join tptp.a @t24)) % 1.22/1.41 (define @t88 () (= tptp.a @t87)) % 1.22/1.41 (define @t89 () (= tptp.a @t45)) % 1.22/1.41 (define @t90 () (tptp.join tptp.c @t21)) % 1.22/1.41 (define @t91 () (= tptp.c @t90)) % 1.22/1.41 (define @t92 () (= @t22 @t48)) % 1.22/1.41 (define @t93 () (= @t24 @t53)) % 1.22/1.41 (define @t94 () (= @t26 (tptp.meet @t25 tptp.a))) % 1.22/1.41 (define @t95 () (= @t21 @t41)) % 1.22/1.41 (define @t96 () (= @t20 @t72)) % 1.22/1.41 (define @t97 () (= @t23 @t40)) % 1.22/1.41 (define @t98 () (tptp.join @t21 @t24)) % 1.22/1.41 (define @t99 () (= @t25 @t98)) % 1.22/1.41 (define @t100 () (= tptp.a (tptp.meet tptp.a @t85))) % 1.22/1.41 (define @t101 () (tptp.meet @t22 @t40)) % 1.22/1.41 (define @t102 () (= @t22 @t101)) % 1.22/1.41 (define @t103 () (tptp.join tptp.a @t80)) % 1.22/1.41 (define @t104 () (= tptp.a @t103)) % 1.22/1.41 (define @t105 () (tptp.join tptp.b @t55)) % 1.22/1.41 (define @t106 () (= tptp.b @t105)) % 1.22/1.41 (define @t107 () (tptp.join tptp.c @t48)) % 1.22/1.41 (define @t108 () (= tptp.c @t107)) % 1.22/1.41 (define @t109 () (tptp.join @t23 @t53)) % 1.22/1.41 (define @t110 () (= @t23 @t109)) % 1.22/1.41 (define @t111 () (= @t24 (tptp.join @t24 @t83))) % 1.22/1.41 (define @t112 () (= @t20 (tptp.join @t20 @t41))) % 1.22/1.41 (define @t113 () (tptp.meet @t36 tptp.c)) % 1.22/1.41 (define @t114 () (= (tptp.meet tptp.c @t36) @t113)) % 1.22/1.41 (define @t115 () (tptp.join @t22 tptp.a)) % 1.22/1.41 (define @t116 () (= @t85 @t115)) % 1.22/1.41 (define @t117 () (tptp.join @t24 tptp.a)) % 1.22/1.41 (define @t118 () (= @t87 @t117)) % 1.22/1.41 (define @t119 () (tptp.join @t23 @t24)) % 1.22/1.41 (define @t120 () (= @t36 @t119)) % 1.22/1.41 (define @t121 () (tptp.meet tptp.a @t41)) % 1.22/1.41 (define @t122 () (= (tptp.meet @t80 tptp.c) @t121)) % 1.22/1.41 (define @t123 () (tptp.meet @t53 @t20)) % 1.22/1.41 (define @t124 () (= @t123 (tptp.meet @t23 @t80))) % 1.22/1.41 (define @t125 () (tptp.join @t45 @t24)) % 1.22/1.41 (define @t126 () (= @t125 (tptp.join tptp.a @t56))) % 1.22/1.41 (define @t127 () (tptp.join tptp.a @t57)) % 1.22/1.41 (define @t128 () (tptp.join @t45 @t26)) % 1.22/1.41 (define @t129 () (= @t128 @t127)) % 1.22/1.41 (define @t130 () (tptp.join tptp.c @t70)) % 1.22/1.41 (define @t131 () (tptp.join @t90 @t21)) % 1.22/1.41 (define @t132 () (= @t131 @t130)) % 1.22/1.41 (define @t133 () (tptp.join @t72 @t26)) % 1.22/1.41 (define @t134 () (= @t133 @t46)) % 1.22/1.41 (define @t135 () (tptp.meet tptp.a @t47)) % 1.22/1.41 (define @t136 () (tptp.meet tptp.a @t44)) % 1.22/1.41 (define @t137 () (= @t136 @t135)) % 1.22/1.41 (define @t138 () (tptp.join tptp.a @t65)) % 1.22/1.41 (define @t139 () (tptp.meet @t24 @t138)) % 1.22/1.41 (define @t140 () (tptp.meet @t24 @t45)) % 1.22/1.41 (define @t141 () (= @t140 @t139)) % 1.22/1.41 (define @t142 () (tptp.join tptp.b @t66)) % 1.22/1.41 (define @t143 () (tptp.join tptp.b @t142)) % 1.22/1.41 (define @t144 () (tptp.meet tptp.a @t143)) % 1.22/1.41 (define @t145 () (tptp.join tptp.b @t144)) % 1.22/1.41 (define @t146 () (tptp.meet tptp.a @t145)) % 1.22/1.41 (define @t147 () (tptp.join tptp.b @t80)) % 1.22/1.41 (define @t148 () (tptp.meet tptp.a @t147)) % 1.22/1.41 (define @t149 () (= @t148 @t146)) % 1.22/1.41 (define @t150 () (tptp.meet tptp.b tptp.b)) % 1.22/1.41 (define @t151 () (= tptp.b @t150)) % 1.22/1.41 (define @t152 () (tptp.meet @t23 @t23)) % 1.22/1.41 (define @t153 () (= @t23 @t152)) % 1.22/1.41 (define @t154 () (= @t21 @t70)) % 1.22/1.41 (define @t155 () (= @t26 @t57)) % 1.22/1.41 (define @t156 () (= tptp.a @t65)) % 1.22/1.41 (define @t157 () (= @t22 (tptp.meet @t22 @t115))) % 1.22/1.41 (define @t158 () (= @t24 (tptp.meet @t24 @t117))) % 1.22/1.41 (define @t159 () (tptp.meet @t26 @t68)) % 1.22/1.41 (define @t160 () (= @t26 @t159)) % 1.22/1.41 (define @t161 () (= @t22 (tptp.join @t22 @t101))) % 1.22/1.41 (define @t162 () (tptp.join @t36 @t113)) % 1.22/1.41 (define @t163 () (= @t36 @t162)) % 1.22/1.41 (define @t164 () (tptp.join @t23 @t152)) % 1.22/1.41 (define @t165 () (= @t23 @t164)) % 1.22/1.41 (define @t166 () (= @t24 (tptp.join @t24 @t58))) % 1.22/1.41 (define @t167 () (tptp.meet @t41 tptp.a)) % 1.22/1.41 (define @t168 () (= @t121 @t167)) % 1.22/1.41 (define @t169 () (tptp.meet @t44 tptp.a)) % 1.22/1.41 (define @t170 () (= @t136 @t169)) % 1.22/1.41 (define @t171 () (tptp.meet @t47 tptp.a)) % 1.22/1.41 (define @t172 () (= @t135 @t171)) % 1.22/1.41 (define @t173 () (tptp.meet @t52 tptp.c)) % 1.22/1.41 (define @t174 () (= (tptp.meet tptp.c @t52) @t173)) % 1.22/1.41 (define @t175 () (tptp.meet tptp.a @t24)) % 1.22/1.41 (define @t176 () (= @t37 @t175)) % 1.22/1.41 (define @t177 () (tptp.meet @t20 @t53)) % 1.22/1.41 (define @t178 () (= @t123 @t177)) % 1.22/1.41 (define @t179 () (tptp.join tptp.a @t54)) % 1.22/1.41 (define @t180 () (= @t179 (tptp.join @t54 tptp.a))) % 1.22/1.41 (define @t181 () (tptp.join @t43 tptp.b)) % 1.22/1.41 (define @t182 () (= @t44 @t181)) % 1.22/1.41 (define @t183 () (tptp.join tptp.b @t24)) % 1.22/1.41 (define @t184 () (tptp.join @t24 tptp.b)) % 1.22/1.41 (define @t185 () (= @t184 @t183)) % 1.22/1.41 (define @t186 () (tptp.join @t48 @t21)) % 1.22/1.41 (define @t187 () (= @t54 @t186)) % 1.22/1.41 (define @t188 () (tptp.meet tptp.c @t40)) % 1.22/1.41 (define @t189 () (tptp.meet tptp.a @t188)) % 1.22/1.41 (define @t190 () (= @t101 @t189)) % 1.22/1.41 (define @t191 () (= @t58 (tptp.meet tptp.a (tptp.meet @t23 tptp.c)))) % 1.22/1.41 (define @t192 () (tptp.join @t105 tptp.a)) % 1.22/1.41 (define @t193 () (= @t192 (tptp.join tptp.b (tptp.join @t55 tptp.a)))) % 1.22/1.41 (define @t194 () (tptp.join @t22 @t53)) % 1.22/1.41 (define @t195 () (tptp.join tptp.b @t194)) % 1.22/1.41 (define @t196 () (= @t109 @t195)) % 1.22/1.41 (define @t197 () (tptp.join tptp.a (tptp.join @t57 @t56))) % 1.22/1.41 (define @t198 () (tptp.join @t127 @t56)) % 1.22/1.41 (define @t199 () (= @t198 @t197)) % 1.22/1.41 (define @t200 () (tptp.join @t22 @t58)) % 1.22/1.41 (define @t201 () (tptp.join tptp.b @t200)) % 1.22/1.41 (define @t202 () (= (tptp.join @t23 @t58) @t201)) % 1.22/1.41 (define @t203 () (tptp.join @t65 @t175)) % 1.22/1.41 (define @t204 () (tptp.join @t21 @t203)) % 1.22/1.41 (define @t205 () (tptp.meet @t24 @t204)) % 1.22/1.41 (define @t206 () (tptp.join @t21 @t205)) % 1.22/1.41 (define @t207 () (tptp.meet tptp.a @t206)) % 1.22/1.41 (define @t208 () (tptp.join @t21 @t139)) % 1.22/1.41 (define @t209 () (tptp.meet tptp.a @t208)) % 1.22/1.41 (define @t210 () (= @t209 @t207)) % 1.22/1.41 (define @t211 () (tptp.meet tptp.a @t74)) % 1.22/1.41 (define @t212 () (tptp.meet tptp.a @t138)) % 1.22/1.41 (define @t213 () (= @t212 @t211)) % 1.22/1.41 (define @t214 () (= tptp.a @t73)) % 1.22/1.41 (define @t215 () (= @t20 (tptp.join @t20 @t177))) % 1.22/1.41 (define @t216 () (= @t41 (tptp.join @t41 @t167))) % 1.22/1.41 (define @t217 () (= @t159 @t76)) % 1.22/1.41 (define @t218 () (tptp.join @t53 @t22)) % 1.22/1.41 (define @t219 () (= @t194 @t218)) % 1.22/1.41 (define @t220 () (tptp.join @t23 @t71)) % 1.22/1.41 (define @t221 () (= @t220 (tptp.join @t71 @t23))) % 1.22/1.41 (define @t222 () (tptp.join @t38 @t72)) % 1.22/1.41 (define @t223 () (tptp.join @t72 @t38)) % 1.22/1.41 (define @t224 () (= @t223 @t222)) % 1.22/1.41 (define @t225 () (tptp.join @t37 @t59)) % 1.22/1.41 (define @t226 () (= @t60 @t225)) % 1.22/1.41 (define @t227 () (tptp.meet @t44 @t211)) % 1.22/1.41 (define @t228 () (= (tptp.meet @t169 @t74) @t227)) % 1.22/1.41 (define @t229 () (= @t220 (tptp.join tptp.b (tptp.join @t22 @t71)))) % 1.22/1.41 (define @t230 () (tptp.join tptp.a @t25)) % 1.22/1.41 (define @t231 () (= (tptp.join @t87 @t21) @t230)) % 1.22/1.41 (define @t232 () (tptp.join @t72 @t24)) % 1.22/1.41 (define @t233 () (tptp.join @t232 @t21)) % 1.22/1.41 (define @t234 () (= @t233 (tptp.join @t72 @t25))) % 1.22/1.41 (define @t235 () (tptp.join tptp.b @t25)) % 1.22/1.41 (define @t236 () (= (tptp.join @t183 @t21) @t235)) % 1.22/1.41 (define @t237 () (tptp.join @t23 @t21)) % 1.22/1.41 (define @t238 () (tptp.meet tptp.a @t237)) % 1.22/1.41 (define @t239 () (= @t238 (tptp.meet tptp.a (tptp.join @t23 (tptp.meet tptp.c (tptp.join @t23 @t23)))))) % 1.22/1.41 (define @t240 () (= @t37 (tptp.meet @t37 @t225))) % 1.22/1.41 (define @t241 () (tptp.meet @t38 @t222)) % 1.22/1.41 (define @t242 () (= @t38 @t241)) % 1.22/1.41 (define @t243 () (tptp.meet @t25 @t20)) % 1.22/1.41 (define @t244 () (tptp.join tptp.b @t243)) % 1.22/1.41 (define @t245 () (tptp.join @t21 @t22)) % 1.22/1.41 (define @t246 () (tptp.join @t26 @t207)) % 1.22/1.41 (define @t247 () (tptp.join @t72 @t246)) % 1.22/1.41 (define @t248 () (tptp.meet @t206 @t247)) % 1.22/1.41 (define @t249 () (tptp.meet tptp.c @t133)) % 1.22/1.41 (define @t250 () (tptp.join tptp.c @t249)) % 1.22/1.41 (define @t251 () (tptp.meet @t20 @t107)) % 1.22/1.41 (define @t252 () (tptp.meet tptp.a @t90)) % 1.22/1.41 (define @t253 () (tptp.join tptp.b @t252)) % 1.22/1.41 (define @t254 () (tptp.meet tptp.c @t253)) % 1.22/1.41 (define @t255 () (tptp.meet @t21 tptp.a)) % 1.22/1.41 (define @t256 () (tptp.join @t22 @t24)) % 1.22/1.41 (define @t257 () (tptp.join @t101 @t21)) % 1.22/1.41 (define @t258 () (tptp.join tptp.b @t54)) % 1.22/1.41 (define @t259 () (tptp.meet @t24 @t130)) % 1.22/1.41 (define @t260 () (tptp.meet tptp.b @t105)) % 1.22/1.41 (define @t261 () (tptp.join @t22 @t150)) % 1.22/1.41 (define @t262 () (tptp.meet @t22 tptp.a)) % 1.22/1.41 (define @t263 () (tptp.join @t261 @t262)) % 1.22/1.41 (define @t264 () (tptp.join @t21 @t263)) % 1.22/1.41 (define @t265 () (tptp.join @t24 @t24)) % 1.22/1.41 (define @t266 () (tptp.join @t23 @t265)) % 1.22/1.41 (define @t267 () (tptp.meet @t23 @t266)) % 1.22/1.41 (define @t268 () (and @t81 @t82 @t84 @t86 @t88 @t89 @t91 @t92 @t93 @t94 @t95 @t96 @t97 @t99 @t100 @t102 @t104 @t106 @t108 @t110 @t111 @t112 @t114 @t116 @t118 @t120 @t122 @t124 @t126 @t129 @t132 @t134 @t137 @t141 @t149 @t151 @t153 @t154 @t155 @t156 @t157 @t158 @t160 @t161 @t163 @t165 @t166 @t168 @t170 @t172 @t174 @t176 @t178 @t180 @t182 @t185 @t187 @t190 @t191 @t193 @t196 @t199 @t202 @t63 @t210 @t213 @t214 @t215 @t216 @t217 @t219 @t221 @t224 @t226 @t228 @t229 @t231 @t234 @t236 @t239 @t240 @t242 @t79)) % 1.22/1.41 (assume @p1 @t4) % 1.22/1.41 (assume @p2 @t6) % 1.22/1.41 (assume @p3 @t11) % 1.22/1.41 (assume @p4 @t14) % 1.22/1.41 (assume @p5 (forall @t10 (= @t12 (tptp.meet @t7 @t1)))) % 1.22/1.41 (assume @p6 (forall @t10 (= @t8 (tptp.join @t7 @t1)))) % 1.22/1.41 (assume @p7 @t17) % 1.22/1.41 (assume @p8 @t18) % 1.22/1.41 (assume @p9 (forall (@list @t1 @t7 @t15 @t19) (= (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t1 @t19)))) (tptp.meet @t1 (tptp.join @t7 (tptp.meet @t15 (tptp.join @t7 (tptp.join @t19 (tptp.meet @t1 @t15))))))))) % 1.22/1.41 (assume @p10 (not @t27)) % 1.22/1.41 (step @p11 :rule eq-symm :args (@t9 @t1)) % 1.22/1.41 (step @p12 :rule cong :premises (@p11) :args (@t11)) % 1.22/1.41 (step @p13 :rule eq_resolve :premises (@p3 @p12)) % 1.22/1.41 (step @p14 :rule instantiate :premises (@p13) :args (@t28)) % 1.22/1.41 (step @p15 :rule instantiate :premises (@p13) :args (@t29)) % 1.22/1.41 (step @p16 :rule instantiate :premises (@p13) :args (@t30)) % 1.22/1.41 (step @p17 :rule eq-symm :args (@t13 @t1)) % 1.22/1.41 (step @p18 :rule cong :premises (@p17) :args (@t14)) % 1.22/1.41 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 1.22/1.41 (step @p20 :rule instantiate :premises (@p19) :args (@t31)) % 1.22/1.41 (step @p21 :rule instantiate :premises (@p19) :args (@t32)) % 1.22/1.41 (step @p22 :rule instantiate :premises (@p19) :args (@t33)) % 1.22/1.41 (step @p23 :rule instantiate :premises (@p19) :args (@t34)) % 1.22/1.41 (step @p24 :rule instantiate :premises (@p5) :args (@t31)) % 1.22/1.41 (step @p25 :rule instantiate :premises (@p5) :args (@t32)) % 1.22/1.41 (step @p26 :rule instantiate :premises (@p5) :args (@t33)) % 1.22/1.41 (step @p27 :rule instantiate :premises (@p5) :args (@t34)) % 1.22/1.41 (step @p28 :rule instantiate :premises (@p6) :args (@t28)) % 1.22/1.41 (step @p29 :rule instantiate :premises (@p6) :args (@t29)) % 1.22/1.41 (step @p30 :rule instantiate :premises (@p6) :args (@t30)) % 1.22/1.41 (step @p31 :rule instantiate :premises (@p13) :args (@t35)) % 1.22/1.41 (step @p32 :rule instantiate :premises (@p13) :args ((@list @t22 tptp.b))) % 1.22/1.41 (step @p33 :rule instantiate :premises (@p19) :args ((@list tptp.a @t20))) % 1.22/1.41 (step @p34 :rule instantiate :premises (@p19) :args ((@list tptp.b @t23))) % 1.22/1.41 (step @p35 :rule instantiate :premises (@p19) :args ((@list tptp.c tptp.a))) % 1.22/1.41 (step @p36 :rule instantiate :premises (@p19) :args ((@list @t23 tptp.a))) % 1.22/1.41 (step @p37 :rule instantiate :premises (@p19) :args ((@list @t24 @t25))) % 1.22/1.41 (step @p38 :rule instantiate :premises (@p19) :args ((@list @t20 tptp.c))) % 1.22/1.41 (step @p39 :rule instantiate :premises (@p5) :args ((@list tptp.c @t36))) % 1.22/1.41 (step @p40 :rule instantiate :premises (@p6) :args (@t35)) % 1.22/1.41 (step @p41 :rule instantiate :premises (@p6) :args ((@list tptp.a @t24))) % 1.22/1.41 (step @p42 :rule instantiate :premises (@p6) :args ((@list @t24 @t23))) % 1.22/1.41 (step @p43 :rule instantiate :premises (@p7) :args ((@list tptp.a @t20 tptp.c))) % 1.22/1.41 (step @p44 :rule instantiate :premises (@p7) :args ((@list @t23 tptp.a @t20))) % 1.22/1.41 (step @p45 :rule instantiate :premises (@p8) :args ((@list tptp.a @t26 @t24))) % 1.22/1.41 (step @p46 :rule instantiate :premises (@p8) :args ((@list tptp.a @t26 @t26))) % 1.22/1.41 (step @p47 :rule instantiate :premises (@p8) :args ((@list tptp.c @t21 @t21))) % 1.22/1.41 (step @p48 :rule instantiate :premises (@p8) :args ((@list tptp.b tptp.a @t26))) % 1.22/1.41 (step @p49 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b @t25 tptp.a))) % 1.22/1.41 (step @p50 :rule instantiate :premises (@p9) :args ((@list @t24 tptp.a tptp.a @t21))) % 1.22/1.41 (step @p51 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.b tptp.a tptp.b))) % 1.22/1.41 (step @p52 :rule eq-symm :args (@t2 @t1)) % 1.22/1.41 (step @p53 :rule cong :premises (@p52) :args (@t4)) % 1.22/1.41 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 1.22/1.41 (step @p55 :rule instantiate :premises (@p54) :args ((@list tptp.b))) % 1.22/1.41 (step @p56 :rule instantiate :premises (@p54) :args ((@list @t23))) % 1.22/1.41 (step @p57 :rule eq-symm :args (@t5 @t1)) % 1.22/1.41 (step @p58 :rule cong :premises (@p57) :args (@t6)) % 1.22/1.41 (step @p59 :rule eq_resolve :premises (@p2 @p58)) % 1.22/1.41 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t21))) % 1.22/1.41 (step @p61 :rule instantiate :premises (@p59) :args ((@list @t26))) % 1.22/1.41 (step @p62 :rule instantiate :premises (@p13) :args ((@list tptp.a @t38))) % 1.22/1.41 (step @p63 :rule instantiate :premises (@p13) :args ((@list @t22 tptp.a))) % 1.22/1.41 (step @p64 :rule instantiate :premises (@p13) :args (@t39)) % 1.22/1.41 (step @p65 :rule instantiate :premises (@p13) :args ((@list @t26 tptp.b))) % 1.22/1.41 (step @p66 :rule instantiate :premises (@p19) :args ((@list @t22 @t40))) % 1.22/1.41 (step @p67 :rule instantiate :premises (@p19) :args ((@list @t36 tptp.c))) % 1.22/1.41 (step @p68 :rule instantiate :premises (@p19) :args ((@list @t23 @t23))) % 1.22/1.41 (step @p69 :rule instantiate :premises (@p19) :args ((@list @t24 tptp.c))) % 1.22/1.41 (step @p70 :rule instantiate :premises (@p5) :args ((@list tptp.a @t41))) % 1.22/1.41 (step @p71 :rule instantiate :premises (@p5) :args ((@list tptp.a @t44))) % 1.22/1.41 (step @p72 :rule instantiate :premises (@p5) :args ((@list tptp.a @t47))) % 1.22/1.41 (step @p73 :rule instantiate :premises (@p5) :args ((@list tptp.c @t52))) % 1.22/1.41 (step @p74 :rule instantiate :premises (@p5) :args (@t39)) % 1.22/1.41 (step @p75 :rule instantiate :premises (@p5) :args ((@list @t53 @t20))) % 1.22/1.41 (step @p76 :rule instantiate :premises (@p6) :args ((@list tptp.a @t54))) % 1.22/1.41 (step @p77 :rule instantiate :premises (@p6) :args ((@list tptp.b @t43))) % 1.22/1.41 (step @p78 :rule instantiate :premises (@p6) :args ((@list @t24 tptp.b))) % 1.22/1.41 (step @p79 :rule instantiate :premises (@p6) :args ((@list @t21 @t48))) % 1.22/1.41 (step @p80 :rule instantiate :premises (@p7) :args ((@list tptp.a tptp.c @t40))) % 1.22/1.41 (step @p81 :rule instantiate :premises (@p7) :args ((@list tptp.a @t23 tptp.c))) % 1.22/1.41 (step @p82 :rule instantiate :premises (@p8) :args ((@list tptp.b @t55 tptp.a))) % 1.22/1.41 (step @p83 :rule instantiate :premises (@p8) :args ((@list tptp.b @t22 @t53))) % 1.22/1.41 (step @p84 :rule instantiate :premises (@p8) :args ((@list tptp.a @t57 @t56))) % 1.22/1.41 (step @p85 :rule instantiate :premises (@p8) :args ((@list tptp.b @t22 @t58))) % 1.22/1.41 (step @p86 :rule eq-symm :args (@t60 @t61)) % 1.22/1.41 (step @p87 :rule refl :args (@t18)) % 1.22/1.41 (step @p88 :rule cong :premises (@p87 @p86) :args ((=> @t18 @t62))) % 1.22/1.41 (assume-push @p644 @t18) % 1.22/1.41 (step @p90 :rule instantiate :premises (@p8) :args ((@list tptp.a @t21 @t37))) % 1.22/1.41 (step-pop @p645 :rule scope :premises (@p90)) % 1.22/1.41 (step @p91 :rule process_scope :premises (@p645) :args (@t62)) % 1.22/1.41 (step @p93 :rule eq_resolve :premises (@p91 @p88)) % 1.22/1.41 (step @p94 :rule implies_elim :premises (@p93)) % 1.22/1.41 (step @p95 :rule chain_m_resolution :premises (@p94 @p8) :args (@t63 @t64 (@list @t18))) % 1.22/1.41 (step @p96 :rule instantiate :premises (@p9) :args ((@list tptp.a @t21 @t24 @t65))) % 1.22/1.41 (step @p97 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a tptp.a @t38))) % 1.22/1.41 (step @p98 :rule instantiate :premises (@p13) :args ((@list tptp.a @t67))) % 1.22/1.41 (step @p99 :rule instantiate :premises (@p19) :args ((@list @t20 @t53))) % 1.22/1.41 (step @p100 :rule instantiate :premises (@p19) :args ((@list @t41 tptp.a))) % 1.22/1.41 (step @p101 :rule instantiate :premises (@p5) :args ((@list @t26 @t68))) % 1.22/1.41 (step @p102 :rule instantiate :premises (@p6) :args ((@list @t22 @t53))) % 1.22/1.41 (step @p103 :rule instantiate :premises (@p6) :args ((@list @t23 @t71))) % 1.22/1.41 (step @p104 :rule instantiate :premises (@p6) :args ((@list @t72 @t38))) % 1.22/1.41 (step @p105 :rule instantiate :premises (@p6) :args ((@list @t59 @t37))) % 1.22/1.41 (step @p106 :rule instantiate :premises (@p7) :args ((@list @t44 tptp.a @t74))) % 1.22/1.41 (step @p107 :rule instantiate :premises (@p8) :args ((@list tptp.b @t22 @t71))) % 1.22/1.41 (step @p108 :rule instantiate :premises (@p8) :args ((@list tptp.a @t24 @t21))) % 1.22/1.41 (step @p109 :rule instantiate :premises (@p8) :args ((@list @t72 @t24 @t21))) % 1.22/1.41 (step @p110 :rule instantiate :premises (@p8) :args ((@list tptp.b @t24 @t21))) % 1.22/1.41 (step @p111 :rule instantiate :premises (@p9) :args ((@list tptp.a @t23 tptp.c tptp.b))) % 1.22/1.41 (step @p112 :rule instantiate :premises (@p13) :args ((@list @t37 @t59))) % 1.22/1.41 (step @p113 :rule instantiate :premises (@p13) :args ((@list @t38 @t72))) % 1.22/1.41 (step @p114 :rule eq-symm :args (@t75 @t76)) % 1.22/1.41 (step @p115 :rule refl :args (@t17)) % 1.22/1.41 (step @p116 :rule cong :premises (@p115 @p114) :args ((=> @t17 @t77))) % 1.22/1.41 (assume-push @p646 @t17) % 1.22/1.41 (step @p118 :rule instantiate :premises (@p7) :args (@t78)) % 1.22/1.41 (step-pop @p647 :rule scope :premises (@p118)) % 1.22/1.41 (step @p119 :rule process_scope :premises (@p647) :args (@t77)) % 1.22/1.41 (step @p121 :rule eq_resolve :premises (@p119 @p116)) % 1.22/1.41 (step @p122 :rule implies_elim :premises (@p121)) % 1.22/1.41 (step @p123 :rule chain_m_resolution :premises (@p122 @p7) :args (@t79 @t64 (@list @t17))) % 1.22/1.41 (assume-push @p648 @t81) % 1.22/1.41 (assume-push @p649 @t82) % 1.22/1.41 (assume-push @p650 @t84) % 1.22/1.41 (assume-push @p651 @t86) % 1.22/1.41 (assume-push @p652 @t88) % 1.22/1.41 (assume-push @p653 @t89) % 1.22/1.41 (assume-push @p654 @t91) % 1.22/1.41 (assume-push @p655 @t92) % 1.22/1.41 (assume-push @p656 @t93) % 1.22/1.41 (assume-push @p657 @t94) % 1.22/1.41 (assume-push @p658 @t95) % 1.22/1.41 (assume-push @p659 @t96) % 1.22/1.41 (assume-push @p660 @t97) % 1.22/1.41 (assume-push @p661 @t99) % 1.22/1.41 (assume-push @p662 @t100) % 1.22/1.41 (assume-push @p663 @t102) % 1.22/1.41 (assume-push @p664 @t104) % 1.22/1.41 (assume-push @p665 @t106) % 1.22/1.41 (assume-push @p666 @t108) % 1.22/1.41 (assume-push @p667 @t110) % 1.22/1.41 (assume-push @p668 @t111) % 1.22/1.41 (assume-push @p669 @t112) % 1.22/1.41 (assume-push @p670 @t114) % 1.22/1.41 (assume-push @p671 @t116) % 1.22/1.41 (assume-push @p672 @t118) % 1.22/1.41 (assume-push @p673 @t120) % 1.22/1.41 (assume-push @p674 @t122) % 1.22/1.41 (assume-push @p675 @t124) % 1.22/1.41 (assume-push @p676 @t126) % 1.22/1.41 (assume-push @p677 @t129) % 1.22/1.41 (assume-push @p678 @t132) % 1.22/1.41 (assume-push @p679 @t134) % 1.22/1.41 (assume-push @p680 @t137) % 1.22/1.41 (assume-push @p681 @t141) % 1.22/1.41 (assume-push @p682 @t149) % 1.22/1.41 (assume-push @p683 @t151) % 1.22/1.41 (assume-push @p684 @t153) % 1.22/1.41 (assume-push @p685 @t154) % 1.22/1.41 (assume-push @p686 @t155) % 1.22/1.41 (assume-push @p687 @t156) % 1.22/1.41 (assume-push @p688 @t157) % 1.22/1.41 (assume-push @p689 @t158) % 1.22/1.41 (assume-push @p690 @t160) % 1.22/1.41 (assume-push @p691 @t161) % 1.22/1.41 (assume-push @p692 @t163) % 1.22/1.41 (assume-push @p693 @t165) % 1.22/1.41 (assume-push @p694 @t166) % 1.22/1.41 (assume-push @p695 @t168) % 1.22/1.41 (assume-push @p696 @t170) % 1.22/1.41 (assume-push @p697 @t172) % 1.22/1.41 (assume-push @p698 @t174) % 1.22/1.41 (assume-push @p699 @t176) % 1.22/1.41 (assume-push @p700 @t178) % 1.22/1.41 (assume-push @p701 @t180) % 1.22/1.41 (assume-push @p702 @t182) % 1.22/1.41 (assume-push @p703 @t185) % 1.22/1.41 (assume-push @p704 @t187) % 1.22/1.41 (assume-push @p705 @t190) % 1.22/1.41 (assume-push @p706 @t191) % 1.22/1.41 (assume-push @p707 @t193) % 1.22/1.41 (assume-push @p708 @t196) % 1.22/1.41 (assume-push @p709 @t199) % 1.22/1.41 (assume-push @p710 @t202) % 1.22/1.41 (assume-push @p711 @t63) % 1.22/1.41 (assume-push @p712 @t210) % 1.22/1.41 (assume-push @p713 @t213) % 1.22/1.41 (assume-push @p714 @t214) % 1.22/1.41 (assume-push @p715 @t215) % 1.22/1.41 (assume-push @p716 @t216) % 1.22/1.41 (assume-push @p717 @t217) % 1.22/1.41 (assume-push @p718 @t219) 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% 1.22/1.41 (step-pop @p785 :rule scope :premises (@p784)) % 1.22/1.41 (step-pop @p786 :rule scope :premises (@p785)) % 1.22/1.41 (step-pop @p787 :rule scope :premises (@p786)) % 1.22/1.41 (step-pop @p788 :rule scope :premises (@p787)) % 1.22/1.41 (step-pop @p789 :rule scope :premises (@p788)) % 1.22/1.41 (step-pop @p790 :rule scope :premises (@p789)) % 1.22/1.41 (step-pop @p791 :rule scope :premises (@p790)) % 1.22/1.41 (step-pop @p792 :rule scope :premises (@p791)) % 1.22/1.41 (step-pop @p793 :rule scope :premises (@p792)) % 1.22/1.41 (step-pop @p794 :rule scope :premises (@p793)) % 1.22/1.41 (step-pop @p795 :rule scope :premises (@p794)) % 1.22/1.41 (step-pop @p796 :rule scope :premises (@p795)) % 1.22/1.41 (step-pop @p797 :rule scope :premises (@p796)) % 1.22/1.41 (step-pop @p798 :rule scope :premises (@p797)) % 1.22/1.41 (step-pop @p799 :rule scope :premises (@p798)) % 1.22/1.41 (step-pop @p800 :rule scope :premises (@p799)) % 1.22/1.41 (step-pop @p801 :rule scope :premises 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1.22/1.41 (step @p642 :rule reordering :premises (@p641) :args ((or @t27 (not @t81) (not @t82) (not @t84) (not @t86) (not @t88) (not @t89) (not @t91) (not @t92) (not @t93) (not @t94) (not @t95) (not @t96) (not @t97) (not @t99) (not @t100) (not @t102) (not @t104) (not @t106) (not @t108) (not @t110) (not @t111) (not @t112) (not @t114) (not @t116) (not @t118) (not @t120) (not @t122) (not @t124) (not @t126) (not @t129) (not @t132) (not @t134) (not @t137) (not @t141) (not @t149) (not @t151) (not @t153) (not @t154) (not @t155) (not @t156) (not @t157) (not @t158) (not @t160) (not @t161) (not @t163) (not @t165) (not @t166) (not @t168) (not @t170) (not @t172) (not @t174) (not @t176) (not @t178) (not @t180) (not @t182) (not @t185) (not @t187) (not @t190) (not @t191) (not @t193) (not @t196) (not @t199) (not @t202) (not @t63) (not @t210) (not @t213) (not @t214) (not @t215) (not @t216) (not @t217) (not @t219) (not @t221) (not @t224) (not @t226) (not @t228) (not @t229) (not @t231) (not @t234) (not @t236) (not @t239) (not @t240) (not @t242) (not @t79)))) % 1.22/1.41 (step @p643 false :rule chain_m_resolution :premises (@p642 @p123 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p101 @p100 @p99 @p98 @p97 @p96 @p95 @p85 @p84 @p83 @p82 @p81 @p80 @p79 @p78 @p77 @p76 @p75 @p74 @p73 @p72 @p71 @p70 @p69 @p68 @p67 @p66 @p65 @p64 @p63 @p62 @p61 @p60 @p56 @p55 @p51 @p50 @p49 @p48 @p47 @p46 @p45 @p44 @p43 @p42 @p41 @p40 @p39 @p38 @p37 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p28 @p27 @p26 @p25 @p24 @p23 @p22 @p21 @p20 @p16 @p15 @p14 @p10) :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 false false false false false false false false false false false false false true) (@list @t79 @t242 @t240 @t239 @t236 @t234 @t231 @t229 @t228 @t226 @t224 @t221 @t219 @t217 @t216 @t215 @t214 @t213 @t210 @t63 @t202 @t199 @t196 @t193 @t191 @t190 @t187 @t185 @t182 @t180 @t178 @t176 @t174 @t172 @t170 @t168 @t166 @t165 @t163 @t161 @t160 @t158 @t157 @t156 @t155 @t154 @t153 @t151 @t149 @t141 @t137 @t134 @t132 @t129 @t126 @t124 @t122 @t120 @t118 @t116 @t114 @t112 @t111 @t110 @t108 @t106 @t104 @t102 @t100 @t99 @t97 @t96 @t95 @t94 @t93 @t92 @t91 @t89 @t88 @t86 @t84 @t82 @t81 @t27))) % 1.22/1.41 ) % 1.22/1.42 % SZS output end Proof % 1.22/1.42 % cvc5 exiting %------------------------------------------------------------------------------