%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LAT005-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n014.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:29:35 AM UTC 2026 % Result : Unsatisfiable 3.71s 3.93s % Output : Proof 3.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : LAT005-3 : TPTP v9.2.1. Released v1.0.0. % 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 : n014.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 05:43:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 3.71/3.93 % SZS status Unsatisfiable % 3.71/3.93 % SZS output start Proof % 3.71/3.95 ( % 3.71/3.95 (declare-sort $$unsorted 0) % 3.71/3.95 (declare-const tptp.r2 $$unsorted) % 3.71/3.95 (declare-const tptp.a $$unsorted) % 3.71/3.95 (declare-const tptp.r1 $$unsorted) % 3.71/3.95 (declare-const tptp.complement (-> $$unsorted $$unsorted Bool)) % 3.71/3.95 (declare-const tptp.b $$unsorted) % 3.71/3.95 (declare-const tptp.n0 $$unsorted) % 3.71/3.95 (declare-const tptp.n1 $$unsorted) % 3.71/3.95 (declare-const tptp.join (-> $$unsorted $$unsorted $$unsorted)) % 3.71/3.95 (declare-const tptp.meet (-> $$unsorted $$unsorted $$unsorted)) % 3.71/3.95 (define @t1 () (@var "X" $$unsorted)) % 3.71/3.95 (define @t2 () (@list @t1)) % 3.71/3.95 (define @t3 () (tptp.join @t1 @t1)) % 3.71/3.95 (define @t4 () (forall @t2 (= @t3 @t1))) % 3.71/3.95 (define @t5 () (@var "Y" $$unsorted)) % 3.71/3.95 (define @t6 () (tptp.join @t1 @t5)) % 3.71/3.95 (define @t7 () (tptp.meet @t1 @t6)) % 3.71/3.95 (define @t8 () (@list @t1 @t5)) % 3.71/3.95 (define @t9 () (forall @t8 (= @t7 @t1))) % 3.71/3.95 (define @t10 () (tptp.meet @t1 @t5)) % 3.71/3.95 (define @t11 () (tptp.join @t1 @t10)) % 3.71/3.95 (define @t12 () (forall @t8 (= @t11 @t1))) % 3.71/3.95 (define @t13 () (forall @t8 (= @t10 (tptp.meet @t5 @t1)))) % 3.71/3.95 (define @t14 () (forall @t8 (= @t6 (tptp.join @t5 @t1)))) % 3.71/3.95 (define @t15 () (@var "Z" $$unsorted)) % 3.71/3.95 (define @t16 () (tptp.meet @t5 @t15)) % 3.71/3.95 (define @t17 () (@list @t1 @t5 @t15)) % 3.71/3.95 (define @t18 () (forall @t17 (= (tptp.meet @t10 @t15) (tptp.meet @t1 @t16)))) % 3.71/3.95 (define @t19 () (forall @t17 (= (tptp.join @t6 @t15) (tptp.join @t1 (tptp.join @t5 @t15))))) % 3.71/3.95 (define @t20 () (= (tptp.meet @t15 @t6) (tptp.join @t1 @t16))) % 3.71/3.95 (define @t21 () (tptp.meet @t1 @t15)) % 3.71/3.95 (define @t22 () (not (= @t21 @t1))) % 3.71/3.95 (define @t23 () (or @t22 @t20)) % 3.71/3.95 (define @t24 () (forall (@list @t1 @t15 @t5) @t23)) % 3.71/3.95 (define @t25 () (= @t10 tptp.n0)) % 3.71/3.95 (define @t26 () (tptp.complement @t1 @t5)) % 3.71/3.95 (define @t27 () (not @t26)) % 3.71/3.95 (define @t28 () (forall @t8 (or @t27 @t25))) % 3.71/3.95 (define @t29 () (= @t6 tptp.n1)) % 3.71/3.95 (define @t30 () (forall @t8 (or @t27 @t29))) % 3.71/3.95 (define @t31 () (tptp.join tptp.a tptp.b)) % 3.71/3.95 (define @t32 () (tptp.complement tptp.r1 @t31)) % 3.71/3.95 (define @t33 () (tptp.meet tptp.a tptp.b)) % 3.71/3.95 (define @t34 () (tptp.complement tptp.r2 @t33)) % 3.71/3.95 (define @t35 () (tptp.meet tptp.r2 tptp.a)) % 3.71/3.95 (define @t36 () (tptp.join tptp.r1 @t35)) % 3.71/3.95 (define @t37 () (tptp.meet tptp.r2 tptp.b)) % 3.71/3.95 (define @t38 () (tptp.join tptp.r1 @t37)) % 3.71/3.95 (define @t39 () (tptp.meet @t38 @t36)) % 3.71/3.95 (define @t40 () (@list tptp.r1 @t37)) % 3.71/3.95 (define @t41 () (@list tptp.r1 @t35)) % 3.71/3.95 (define @t42 () (@list tptp.a tptp.b)) % 3.71/3.95 (define @t43 () (@list tptp.r2 tptp.a)) % 3.71/3.95 (define @t44 () (@list tptp.r2 tptp.b)) % 3.71/3.95 (define @t45 () (tptp.meet @t35 @t38)) % 3.71/3.95 (define @t46 () (tptp.join tptp.r1 @t45)) % 3.71/3.95 (define @t47 () (= @t39 @t46)) % 3.71/3.95 (define @t48 () (tptp.meet tptp.r1 @t38)) % 3.71/3.95 (define @t49 () (= tptp.r1 @t48)) % 3.71/3.95 (define @t50 () (not @t49)) % 3.71/3.95 (define @t51 () (or @t50 @t47)) % 3.71/3.95 (define @t52 () (@list false false)) % 3.71/3.95 (define @t53 () (tptp.meet tptp.r1 @t31)) % 3.71/3.95 (define @t54 () (not @t32)) % 3.71/3.95 (define @t55 () (or @t54 (= @t53 tptp.n0))) % 3.71/3.95 (define @t56 () (@list tptp.r1 @t31)) % 3.71/3.95 (define @t57 () (= tptp.n0 @t53)) % 3.71/3.95 (define @t58 () (or @t54 @t57)) % 3.71/3.95 (define @t59 () (@list false)) % 3.71/3.95 (define @t60 () (@list @t28)) % 3.71/3.95 (define @t61 () (tptp.meet tptp.r2 @t33)) % 3.71/3.95 (define @t62 () (not @t34)) % 3.71/3.95 (define @t63 () (or @t62 (= @t61 tptp.n0))) % 3.71/3.95 (define @t64 () (@list tptp.r2 @t33)) % 3.71/3.95 (define @t65 () (= tptp.n0 @t61)) % 3.71/3.95 (define @t66 () (or @t62 @t65)) % 3.71/3.95 (define @t67 () (tptp.join tptp.r1 @t31)) % 3.71/3.95 (define @t68 () (or @t54 (= @t67 tptp.n1))) % 3.71/3.95 (define @t69 () (= tptp.n1 @t67)) % 3.71/3.95 (define @t70 () (or @t54 @t69)) % 3.71/3.95 (define @t71 () (@list @t30)) % 3.71/3.95 (define @t72 () (tptp.join tptp.r2 @t33)) % 3.71/3.95 (define @t73 () (or @t62 (= @t72 tptp.n1))) % 3.71/3.95 (define @t74 () (= tptp.n1 @t72)) % 3.71/3.95 (define @t75 () (or @t62 @t74)) % 3.71/3.95 (define @t76 () (@list tptp.r1 @t45)) % 3.71/3.95 (define @t77 () (@list tptp.r1 tptp.a)) % 3.71/3.95 (define @t78 () (tptp.meet @t35 tptp.b)) % 3.71/3.95 (define @t79 () (= @t78 @t61)) % 3.71/3.95 (define @t80 () (@list tptp.r2 tptp.a tptp.b)) % 3.71/3.95 (define @t81 () (= @t61 @t78)) % 3.71/3.95 (define @t82 () (@list @t18)) % 3.71/3.95 (define @t83 () (tptp.meet tptp.r1 tptp.r2)) % 3.71/3.95 (define @t84 () (tptp.meet @t83 tptp.a)) % 3.71/3.95 (define @t85 () (tptp.meet tptp.r1 @t35)) % 3.71/3.95 (define @t86 () (= @t84 @t85)) % 3.71/3.95 (define @t87 () (@list tptp.r1 tptp.r2 tptp.a)) % 3.71/3.95 (define @t88 () (= @t85 @t84)) % 3.71/3.95 (define @t89 () (tptp.join tptp.r1 tptp.a)) % 3.71/3.95 (define @t90 () (tptp.join @t89 tptp.b)) % 3.71/3.95 (define @t91 () (= @t90 @t67)) % 3.71/3.95 (define @t92 () (= @t67 @t90)) % 3.71/3.95 (define @t93 () (@list @t19)) % 3.71/3.95 (define @t94 () (tptp.meet @t37 @t36)) % 3.71/3.95 (define @t95 () (tptp.meet @t36 @t38)) % 3.71/3.95 (define @t96 () (= @t95 (tptp.join tptp.r1 @t94))) % 3.71/3.95 (define @t97 () (tptp.meet tptp.r1 @t36)) % 3.71/3.95 (define @t98 () (= tptp.r1 @t97)) % 3.71/3.95 (define @t99 () (not @t98)) % 3.71/3.95 (define @t100 () (or @t99 @t96)) % 3.71/3.95 (define @t101 () (tptp.join tptp.b tptp.a)) % 3.71/3.95 (define @t102 () (tptp.meet tptp.b @t101)) % 3.71/3.95 (define @t103 () (tptp.meet tptp.a @t31)) % 3.71/3.95 (define @t104 () (tptp.meet @t31 @t101)) % 3.71/3.95 (define @t105 () (= @t104 (tptp.join tptp.b @t103))) % 3.71/3.95 (define @t106 () (tptp.meet tptp.b @t31)) % 3.71/3.95 (define @t107 () (= tptp.b @t106)) % 3.71/3.95 (define @t108 () (not @t107)) % 3.71/3.95 (define @t109 () (or @t108 @t105)) % 3.71/3.95 (define @t110 () (@list @t36 tptp.a)) % 3.71/3.95 (define @t111 () (tptp.meet @t36 @t37)) % 3.71/3.95 (define @t112 () (= @t94 @t111)) % 3.71/3.95 (define @t113 () (= @t111 @t94)) % 3.71/3.95 (define @t114 () (@list @t13)) % 3.71/3.95 (define @t115 () (tptp.meet @t35 @t36)) % 3.71/3.95 (define @t116 () (tptp.meet @t36 @t35)) % 3.71/3.95 (define @t117 () (= @t115 @t116)) % 3.71/3.95 (define @t118 () (@list @t35 @t36)) % 3.71/3.95 (define @t119 () (= @t116 @t115)) % 3.71/3.95 (define @t120 () (@list @t36 @t31)) % 3.71/3.95 (define @t121 () (tptp.meet @t33 tptp.r2)) % 3.71/3.95 (define @t122 () (tptp.meet tptp.a tptp.r2)) % 3.71/3.95 (define @t123 () (tptp.join tptp.r2 @t35)) % 3.71/3.95 (define @t124 () (tptp.meet @t85 @t38)) % 3.71/3.95 (define @t125 () (tptp.meet tptp.r1 @t45)) % 3.71/3.95 (define @t126 () (= @t124 @t125)) % 3.71/3.95 (define @t127 () (@list tptp.r1 @t35 @t38)) % 3.71/3.95 (define @t128 () (= @t125 @t124)) % 3.71/3.95 (define @t129 () (tptp.meet @t36 tptp.r2)) % 3.71/3.95 (define @t130 () (tptp.meet @t129 tptp.a)) % 3.71/3.95 (define @t131 () (= @t130 @t116)) % 3.71/3.95 (define @t132 () (= @t116 @t130)) % 3.71/3.95 (define @t133 () (tptp.meet @t129 tptp.b)) % 3.71/3.95 (define @t134 () (= @t133 @t111)) % 3.71/3.95 (define @t135 () (@list @t36 tptp.r2 tptp.b)) % 3.71/3.95 (define @t136 () (= @t111 @t133)) % 3.71/3.95 (define @t137 () (tptp.join @t33 @t33)) % 3.71/3.95 (define @t138 () (tptp.meet @t35 tptp.r1)) % 3.71/3.95 (define @t139 () (@list @t138 tptp.b)) % 3.71/3.95 (define @t140 () (tptp.meet @t36 @t31)) % 3.71/3.95 (define @t141 () (tptp.meet tptp.a @t140)) % 3.71/3.95 (define @t142 () (tptp.meet @t140 tptp.a)) % 3.71/3.95 (define @t143 () (= @t141 @t142)) % 3.71/3.95 (define @t144 () (@list tptp.a @t140)) % 3.71/3.95 (define @t145 () (= @t142 @t141)) % 3.71/3.95 (define @t146 () (tptp.meet @t31 tptp.r1)) % 3.71/3.95 (define @t147 () (tptp.meet @t36 tptp.a)) % 3.71/3.95 (define @t148 () (tptp.join @t36 @t45)) % 3.71/3.95 (define @t149 () (tptp.join @t45 @t36)) % 3.71/3.95 (define @t150 () (= @t148 @t149)) % 3.71/3.95 (define @t151 () (= @t149 @t148)) % 3.71/3.95 (define @t152 () (tptp.join tptp.a tptp.r1)) % 3.71/3.95 (define @t153 () (tptp.meet @t31 @t36)) % 3.71/3.95 (define @t154 () (tptp.meet @t153 tptp.a)) % 3.71/3.95 (define @t155 () (tptp.meet @t31 @t147)) % 3.71/3.95 (define @t156 () (= @t154 @t155)) % 3.71/3.95 (define @t157 () (= @t155 @t154)) % 3.71/3.95 (define @t158 () (tptp.join @t36 tptp.a)) % 3.71/3.95 (define @t159 () (tptp.join @t158 tptp.b)) % 3.71/3.95 (define @t160 () (tptp.join @t36 @t31)) % 3.71/3.95 (define @t161 () (= @t159 @t160)) % 3.71/3.95 (define @t162 () (@list @t36 tptp.a tptp.b)) % 3.71/3.95 (define @t163 () (= @t160 @t159)) % 3.71/3.95 (define @t164 () (@list @t37 tptp.b)) % 3.71/3.95 (define @t165 () (tptp.meet tptp.r1 tptp.b)) % 3.71/3.95 (define @t166 () (tptp.join @t37 @t165)) % 3.71/3.95 (define @t167 () (tptp.join @t37 tptp.r1)) % 3.71/3.95 (define @t168 () (= (tptp.meet tptp.b @t167) @t166)) % 3.71/3.95 (define @t169 () (= @t37 (tptp.meet @t37 tptp.b))) % 3.71/3.95 (define @t170 () (not @t169)) % 3.71/3.95 (define @t171 () (or @t170 @t168)) % 3.71/3.95 (define @t172 () (tptp.meet @t31 @t152)) % 3.71/3.95 (define @t173 () (= @t172 (tptp.join tptp.a @t53))) % 3.71/3.95 (define @t174 () (= tptp.a @t103)) % 3.71/3.95 (define @t175 () (not @t174)) % 3.71/3.95 (define @t176 () (or @t175 @t173)) % 3.71/3.95 (define @t177 () (tptp.meet @t36 tptp.r1)) % 3.71/3.95 (define @t178 () (tptp.join @t45 @t177)) % 3.71/3.95 (define @t179 () (tptp.join @t35 @t45)) % 3.71/3.95 (define @t180 () (tptp.join tptp.r1 @t179)) % 3.71/3.95 (define @t181 () (tptp.meet tptp.r1 @t95)) % 3.71/3.95 (define @t182 () (tptp.meet @t181 @t67)) % 3.71/3.95 (define @t183 () (tptp.meet @t95 @t67)) % 3.71/3.95 (define @t184 () (tptp.meet tptp.r1 @t183)) % 3.71/3.95 (define @t185 () (tptp.meet tptp.r1 @t149)) % 3.71/3.95 (define @t186 () (= @t185 @t178)) % 3.71/3.95 (define @t187 () (tptp.meet tptp.r1 @t140)) % 3.71/3.95 (define @t188 () (tptp.meet tptp.a @t36)) % 3.71/3.95 (define @t189 () (tptp.join @t121 tptp.a)) % 3.71/3.95 (define @t190 () (tptp.meet @t36 @t189)) % 3.71/3.95 (define @t191 () (= @t190 (tptp.join @t121 @t188))) % 3.71/3.95 (define @t192 () (= @t121 (tptp.meet @t121 @t36))) % 3.71/3.95 (define @t193 () (not @t192)) % 3.71/3.95 (define @t194 () (or @t193 @t191)) % 3.71/3.95 (define @t195 () (tptp.meet @t33 @t183)) % 3.71/3.95 (define @t196 () (tptp.meet @t183 @t33)) % 3.71/3.95 (define @t197 () (= @t195 @t196)) % 3.71/3.95 (define @t198 () (@list @t33 @t183)) % 3.71/3.95 (define @t199 () (= @t196 @t195)) % 3.71/3.95 (define @t200 () (tptp.meet @t39 tptp.b)) % 3.71/3.95 (define @t201 () (tptp.meet tptp.b @t39)) % 3.71/3.95 (define @t202 () (= @t200 @t201)) % 3.71/3.95 (define @t203 () (@list @t39 tptp.b)) % 3.71/3.95 (define @t204 () (= @t201 @t200)) % 3.71/3.95 (define @t205 () (tptp.meet tptp.b @t129)) % 3.71/3.95 (define @t206 () (tptp.meet tptp.b @t38)) % 3.71/3.95 (define @t207 () (tptp.meet @t206 @t36)) % 3.71/3.95 (define @t208 () (= @t207 @t201)) % 3.71/3.95 (define @t209 () (@list tptp.b @t38 @t36)) % 3.71/3.95 (define @t210 () (= @t201 @t207)) % 3.71/3.95 (define @t211 () (tptp.join tptp.a @t33)) % 3.71/3.95 (define @t212 () (= tptp.a @t211)) % 3.71/3.95 (define @t213 () (= tptp.r2 @t123)) % 3.71/3.95 (define @t214 () (tptp.join tptp.r2 @t37)) % 3.71/3.95 (define @t215 () (= tptp.r2 @t214)) % 3.71/3.95 (define @t216 () (= @t35 @t122)) % 3.71/3.95 (define @t217 () (= @t39 @t95)) % 3.71/3.95 (define @t218 () (= @t38 @t167)) % 3.71/3.95 (define @t219 () (tptp.join @t35 tptp.r1)) % 3.71/3.95 (define @t220 () (= @t36 @t219)) % 3.71/3.95 (define @t221 () (= @t31 @t101)) % 3.71/3.95 (define @t222 () (= tptp.r1 (tptp.meet tptp.r1 @t67))) % 3.71/3.95 (define @t223 () (= tptp.r1 (tptp.meet tptp.r1 @t46))) % 3.71/3.95 (define @t224 () (= tptp.b @t102)) % 3.71/3.95 (define @t225 () (tptp.meet tptp.r2 @t214)) % 3.71/3.95 (define @t226 () (= tptp.r2 @t225)) % 3.71/3.95 (define @t227 () (tptp.meet @t35 @t219)) % 3.71/3.95 (define @t228 () (= @t35 @t227)) % 3.71/3.95 (define @t229 () (tptp.join tptp.r1 @t53)) % 3.71/3.95 (define @t230 () (= tptp.r1 @t229)) % 3.71/3.95 (define @t231 () (= tptp.r1 (tptp.join tptp.r1 @t85))) % 3.71/3.95 (define @t232 () (tptp.join tptp.a @t122)) % 3.71/3.95 (define @t233 () (= tptp.a @t232)) % 3.71/3.95 (define @t234 () (= @t35 @t179)) % 3.71/3.95 (define @t235 () (tptp.meet tptp.a tptp.r1)) % 3.71/3.95 (define @t236 () (tptp.meet tptp.r1 tptp.a)) % 3.71/3.95 (define @t237 () (= @t236 @t235)) % 3.71/3.95 (define @t238 () (tptp.meet tptp.b tptp.r1)) % 3.71/3.95 (define @t239 () (= @t165 @t238)) % 3.71/3.95 (define @t240 () (= @t53 @t146)) % 3.71/3.95 (define @t241 () (tptp.meet @t38 tptp.r1)) % 3.71/3.95 (define @t242 () (= @t48 @t241)) % 3.71/3.95 (define @t243 () (= @t85 @t138)) % 3.71/3.95 (define @t244 () (= @t97 @t177)) % 3.71/3.95 (define @t245 () (tptp.meet @t31 tptp.a)) % 3.71/3.95 (define @t246 () (= @t103 @t245)) % 3.71/3.95 (define @t247 () (= @t61 @t121)) % 3.71/3.95 (define @t248 () (tptp.join @t45 tptp.r1)) % 3.71/3.95 (define @t249 () (= @t46 @t248)) % 3.71/3.95 (define @t250 () (tptp.join tptp.a @t137)) % 3.71/3.95 (define @t251 () (tptp.join @t211 @t33)) % 3.71/3.95 (define @t252 () (= @t251 @t250)) % 3.71/3.95 (define @t253 () (= @t33 @t137)) % 3.71/3.95 (define @t254 () (tptp.join @t37 @t37)) % 3.71/3.95 (define @t255 () (= @t37 @t254)) % 3.71/3.95 (define @t256 () (tptp.join @t33 @t121)) % 3.71/3.95 (define @t257 () (= @t33 @t256)) % 3.71/3.95 (define @t258 () (tptp.meet @t37 @t35)) % 3.71/3.95 (define @t259 () (= @t37 (tptp.join @t37 @t258))) % 3.71/3.95 (define @t260 () (= @t36 (tptp.join @t36 @t147))) % 3.71/3.95 (define @t261 () (tptp.meet @t45 tptp.r1)) % 3.71/3.95 (define @t262 () (= @t125 @t261)) % 3.71/3.95 (define @t263 () (tptp.meet @t31 tptp.b)) % 3.71/3.95 (define @t264 () (= @t263 @t106)) % 3.71/3.95 (define @t265 () (tptp.meet tptp.b @t35)) % 3.71/3.95 (define @t266 () (= @t78 @t265)) % 3.71/3.95 (define @t267 () (= @t147 @t188)) % 3.71/3.95 (define @t268 () (= @t140 @t153)) % 3.71/3.95 (define @t269 () (tptp.meet tptp.b @t36)) % 3.71/3.95 (define @t270 () (tptp.meet @t36 tptp.b)) % 3.71/3.95 (define @t271 () (= @t270 @t269)) % 3.71/3.95 (define @t272 () (= @t89 @t152)) % 3.71/3.95 (define @t273 () (tptp.join tptp.a @t121)) % 3.71/3.95 (define @t274 () (= @t273 @t189)) % 3.71/3.95 (define @t275 () (tptp.join @t122 tptp.a)) % 3.71/3.95 (define @t276 () (= @t232 @t275)) % 3.71/3.95 (define @t277 () (tptp.meet @t123 @t33)) % 3.71/3.95 (define @t278 () (tptp.meet tptp.r2 @t277)) % 3.71/3.95 (define @t279 () (= (tptp.meet (tptp.meet tptp.r2 @t123) @t33) @t278)) % 3.71/3.95 (define @t280 () (= @t94 (tptp.meet tptp.r2 @t269))) % 3.71/3.95 (define @t281 () (tptp.meet tptp.b @t146)) % 3.71/3.95 (define @t282 () (= (tptp.meet @t106 tptp.r1) @t281)) % 3.71/3.95 (define @t283 () (= @t258 (tptp.meet tptp.r2 @t265))) % 3.71/3.95 (define @t284 () (tptp.meet tptp.r2 @t235)) % 3.71/3.95 (define @t285 () (= @t138 @t284)) % 3.71/3.95 (define @t286 () (= @t182 @t184)) % 3.71/3.95 (define @t287 () (tptp.meet @t53 tptp.a)) % 3.71/3.95 (define @t288 () (= @t287 (tptp.meet tptp.r1 @t245))) % 3.71/3.95 (define @t289 () (tptp.meet @t35 @t241)) % 3.71/3.95 (define @t290 () (= @t261 @t289)) % 3.71/3.95 (define @t291 () (tptp.meet @t83 @t245)) % 3.71/3.95 (define @t292 () (= (tptp.meet (tptp.meet @t83 @t31) tptp.a) @t291)) % 3.71/3.95 (define @t293 () (tptp.meet @t140 @t101)) % 3.71/3.95 (define @t294 () (= @t293 (tptp.meet @t36 @t104))) % 3.71/3.95 (define @t295 () (tptp.meet @t36 @t106)) % 3.71/3.95 (define @t296 () (= (tptp.meet @t270 @t31) @t295)) % 3.71/3.95 (define @t297 () (tptp.meet @t36 @t245)) % 3.71/3.95 (define @t298 () (= @t142 @t297)) % 3.71/3.95 (define @t299 () (tptp.join @t250 @t121)) % 3.71/3.95 (define @t300 () (= @t299 (tptp.join tptp.a (tptp.join @t137 @t121)))) % 3.71/3.95 (define @t301 () (= @t148 @t180)) % 3.71/3.95 (define @t302 () (= @t121 (tptp.meet @t121 @t189))) % 3.71/3.95 (define @t303 () (tptp.meet @t36 @t158)) % 3.71/3.95 (define @t304 () (= @t36 @t303)) % 3.71/3.95 (define @t305 () (= @t36 (tptp.meet @t36 @t160))) % 3.71/3.95 (define @t306 () (tptp.join @t138 tptp.b)) % 3.71/3.95 (define @t307 () (= @t138 (tptp.meet @t138 @t306))) % 3.71/3.95 (define @t308 () (tptp.join tptp.b @t265)) % 3.71/3.95 (define @t309 () (= tptp.b @t308)) % 3.71/3.95 (define @t310 () (tptp.meet @t137 @t36)) % 3.71/3.95 (define @t311 () (= @t310 (tptp.meet @t36 @t137))) % 3.71/3.95 (define @t312 () (tptp.meet @t146 tptp.b)) % 3.71/3.95 (define @t313 () (= @t281 @t312)) % 3.71/3.95 (define @t314 () (= @t133 @t205)) % 3.71/3.95 (define @t315 () (tptp.meet @t147 @t31)) % 3.71/3.95 (define @t316 () (= @t315 @t155)) % 3.71/3.95 (define @t317 () (= @t306 (tptp.join tptp.b @t138))) % 3.71/3.95 (define @t318 () (tptp.meet @t101 @t152)) % 3.71/3.95 (define @t319 () (tptp.meet @t140 @t318)) % 3.71/3.95 (define @t320 () (= (tptp.meet @t293 @t152) @t319)) % 3.71/3.95 (define @t321 () (tptp.meet tptp.a @t269)) % 3.71/3.95 (define @t322 () (= (tptp.meet @t33 @t36) @t321)) % 3.71/3.95 (define @t323 () (tptp.meet @t269 @t31)) % 3.71/3.95 (define @t324 () (= @t323 (tptp.meet tptp.b @t140))) % 3.71/3.95 (define @t325 () (tptp.meet @t36 @t67)) % 3.71/3.95 (define @t326 () (tptp.meet @t38 @t325)) % 3.71/3.95 (define @t327 () (= (tptp.meet @t39 @t67) @t326)) % 3.71/3.95 (define @t328 () (tptp.meet @t140 tptp.b)) % 3.71/3.95 (define @t329 () (= @t328 (tptp.meet @t36 @t263))) % 3.71/3.95 (define @t330 () (tptp.meet @t205 tptp.a)) % 3.71/3.95 (define @t331 () (= @t330 (tptp.meet tptp.b @t130))) % 3.71/3.95 (define @t332 () (= @t158 (tptp.join tptp.r1 (tptp.join @t35 tptp.a)))) % 3.71/3.95 (define @t333 () (= @t303 (tptp.meet @t158 @t36))) % 3.71/3.95 (define @t334 () (tptp.meet tptp.b @t147)) % 3.71/3.95 (define @t335 () (= @t334 (tptp.meet @t147 tptp.b))) % 3.71/3.95 (define @t336 () (tptp.meet tptp.a @t205)) % 3.71/3.95 (define @t337 () (= @t330 @t336)) % 3.71/3.95 (define @t338 () (tptp.meet @t152 @t36)) % 3.71/3.95 (define @t339 () (tptp.meet @t31 @t338)) % 3.71/3.95 (define @t340 () (= (tptp.meet @t172 @t36) @t339)) % 3.71/3.95 (define @t341 () (= @t200 (tptp.meet @t38 @t270))) % 3.71/3.95 (define @t342 () (= @t195 (tptp.meet tptp.a (tptp.meet tptp.b @t183)))) % 3.71/3.95 (define @t343 () (tptp.meet @t36 @t33)) % 3.71/3.95 (define @t344 () (tptp.meet @t38 @t343)) % 3.71/3.95 (define @t345 () (= (tptp.meet @t39 @t33) @t344)) % 3.71/3.95 (define @t346 () (tptp.meet @t141 tptp.b)) % 3.71/3.95 (define @t347 () (= @t346 (tptp.meet tptp.a @t328))) % 3.71/3.95 (define @t348 () (tptp.join tptp.r1 @t138)) % 3.71/3.95 (define @t349 () (tptp.meet @t138 @t38)) % 3.71/3.95 (define @t350 () (tptp.meet @t61 tptp.b)) % 3.71/3.95 (define @t351 () (tptp.join @t36 @t315)) % 3.71/3.95 (define @t352 () (tptp.join @t121 @t141)) % 3.71/3.95 (define @t353 () (tptp.meet @t140 @t152)) % 3.71/3.95 (define @t354 () (tptp.meet tptp.r2 @t270)) % 3.71/3.95 (define @t355 () (and @t49 @t98 @t174 @t212 @t213 @t215 @t216 @t217 @t218 @t220 @t221 @t47 @t57 @t65 @t69 @t74 @t222 @t223 @t224 @t226 @t228 @t230 @t231 @t233 @t234 @t237 @t239 @t240 @t242 @t243 @t244 @t246 @t247 @t249 @t81 @t88 @t252 @t92 @t96 @t105 @t253 @t255 @t257 @t259 @t260 @t262 @t264 @t113 @t119 @t266 @t267 @t268 @t271 @t272 @t274 @t276 @t279 @t280 @t282 @t283 @t285 @t286 @t288 @t128 @t290 @t292 @t132 @t136 @t294 @t296 @t298 @t300 @t301 @t302 @t304 @t305 @t307 @t309 @t145 @t311 @t313 @t314 @t316 @t151 @t317 @t320 @t322 @t157 @t324 @t327 @t329 @t331 @t332 @t163 @t191 @t168 @t173 @t199 @t333 @t204 @t335 @t337 @t340 @t341 @t342 @t345 @t347 @t210)) % 3.71/3.95 (assume @p1 (forall @t2 (= (tptp.meet @t1 @t1) @t1))) % 3.71/3.95 (assume @p2 @t4) % 3.71/3.95 (assume @p3 @t9) % 3.71/3.95 (assume @p4 @t12) % 3.71/3.95 (assume @p5 @t13) % 3.71/3.95 (assume @p6 @t14) % 3.71/3.95 (assume @p7 @t18) % 3.71/3.95 (assume @p8 @t19) % 3.71/3.95 (assume @p9 (forall @t2 (= (tptp.meet @t1 tptp.n0) tptp.n0))) % 3.71/3.95 (assume @p10 (forall @t2 (= (tptp.join @t1 tptp.n0) @t1))) % 3.71/3.95 (assume @p11 (forall @t2 (= (tptp.meet @t1 tptp.n1) @t1))) % 3.71/3.95 (assume @p12 (forall @t2 (= (tptp.join @t1 tptp.n1) tptp.n1))) % 3.71/3.95 (assume @p13 @t24) % 3.71/3.95 (assume @p14 @t28) % 3.71/3.95 (assume @p15 @t30) % 3.71/3.95 (assume @p16 (forall @t8 (or (not @t25) (not @t29) @t26))) % 3.71/3.95 (assume @p17 @t32) % 3.71/3.95 (assume @p18 @t34) % 3.71/3.95 (assume @p19 (not (= tptp.r1 @t39))) % 3.71/3.95 (step @p20 :rule eq-symm :args (@t7 @t1)) % 3.71/3.95 (step @p21 :rule cong :premises (@p20) :args (@t9)) % 3.71/3.95 (step @p22 :rule eq_resolve :premises (@p3 @p21)) % 3.71/3.95 (step @p23 :rule instantiate :premises (@p22) :args (@t40)) % 3.71/3.95 (step @p24 :rule instantiate :premises (@p22) :args (@t41)) % 3.71/3.95 (step @p25 :rule instantiate :premises (@p22) :args (@t42)) % 3.71/3.95 (step @p26 :rule eq-symm :args (@t11 @t1)) % 3.71/3.95 (step @p27 :rule cong :premises (@p26) :args (@t12)) % 3.71/3.95 (step @p28 :rule eq_resolve :premises (@p4 @p27)) % 3.71/3.95 (step @p29 :rule instantiate :premises (@p28) :args (@t42)) % 3.71/3.95 (step @p30 :rule instantiate :premises (@p28) :args (@t43)) % 3.71/3.95 (step @p31 :rule instantiate :premises (@p28) :args (@t44)) % 3.71/3.95 (step @p32 :rule instantiate :premises (@p5) :args (@t43)) % 3.71/3.95 (step @p33 :rule instantiate :premises (@p5) :args ((@list @t38 @t36))) % 3.71/3.95 (step @p34 :rule instantiate :premises (@p6) :args (@t40)) % 3.71/3.95 (step @p35 :rule instantiate :premises (@p6) :args (@t41)) % 3.71/3.95 (step @p36 :rule instantiate :premises (@p6) :args (@t42)) % 3.71/3.95 (step @p37 :rule refl :args (@t20)) % 3.71/3.95 (step @p38 :rule eq-symm :args (@t21 @t1)) % 3.71/3.95 (step @p39 :rule cong :premises (@p38) :args (@t22)) % 3.71/3.95 (step @p40 :rule nary_cong :premises (@p39 @p37) :args (@t23)) % 3.71/3.95 (step @p41 :rule cong :premises (@p40) :args (@t24)) % 3.71/3.95 (step @p42 :rule eq_resolve :premises (@p13 @p41)) % 3.71/3.95 (step @p43 :rule instantiate :premises (@p42) :args ((@list tptp.r1 @t38 @t35))) % 3.71/3.95 (step @p44 :rule cnf_or_pos :args (@t51)) % 3.71/3.95 (step @p45 :rule reordering :premises (@p44) :args ((or @t50 @t47 (not @t51)))) % 3.71/3.95 (step @p46 :rule chain_m_resolution :premises (@p45 @p23 @p43) :args (@t47 @t52 (@list @t49 @t51))) % 3.71/3.95 (step @p47 :rule eq-symm :args (@t53 tptp.n0)) % 3.71/3.95 (step @p48 :rule refl :args (@t54)) % 3.71/3.95 (step @p49 :rule nary_cong :premises (@p48 @p47) :args (@t55)) % 3.71/3.95 (step @p50 :rule refl :args (@t28)) % 3.71/3.95 (step @p51 :rule cong :premises (@p50 @p49) :args ((=> @t28 @t55))) % 3.71/3.95 (assume-push @p849 @t28) % 3.71/3.95 (step @p53 :rule instantiate :premises (@p14) :args (@t56)) % 3.71/3.95 (step-pop @p850 :rule scope :premises (@p53)) % 3.71/3.95 (step @p54 :rule process_scope :premises (@p850) :args (@t55)) % 3.71/3.95 (step @p56 :rule eq_resolve :premises (@p54 @p51)) % 3.71/3.95 (step @p57 :rule implies_elim :premises (@p56)) % 3.71/3.95 (step @p58 :rule chain_m_resolution :premises (@p57 @p14) :args (@t58 @t59 @t60)) % 3.71/3.95 (step @p59 :rule cnf_or_pos :args (@t58)) % 3.71/3.95 (step @p60 :rule reordering :premises (@p59) :args ((or @t54 @t57 (not @t58)))) % 3.71/3.95 (step @p61 :rule chain_m_resolution :premises (@p60 @p17 @p58) :args (@t57 @t52 (@list @t32 @t58))) % 3.71/3.95 (step @p62 :rule eq-symm :args (@t61 tptp.n0)) % 3.71/3.95 (step @p63 :rule refl :args (@t62)) % 3.71/3.95 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t63)) % 3.71/3.95 (step @p65 :rule cong :premises (@p50 @p64) :args ((=> @t28 @t63))) % 3.71/3.95 (assume-push @p851 @t28) % 3.71/3.95 (step @p67 :rule instantiate :premises (@p14) :args (@t64)) % 3.71/3.95 (step-pop @p852 :rule scope :premises (@p67)) % 3.71/3.95 (step @p68 :rule process_scope :premises (@p852) :args (@t63)) % 3.71/3.95 (step @p70 :rule eq_resolve :premises (@p68 @p65)) % 3.71/3.95 (step @p71 :rule implies_elim :premises (@p70)) % 3.71/3.95 (step @p72 :rule chain_m_resolution :premises (@p71 @p14) :args (@t66 @t59 @t60)) % 3.71/3.95 (step @p73 :rule cnf_or_pos :args (@t66)) % 3.71/3.95 (step @p74 :rule reordering :premises (@p73) :args ((or @t62 @t65 (not @t66)))) % 3.71/3.95 (step @p75 :rule chain_m_resolution :premises (@p74 @p18 @p72) :args (@t65 @t52 (@list @t34 @t66))) % 3.71/3.95 (step @p76 :rule eq-symm :args (@t67 tptp.n1)) % 3.71/3.95 (step @p77 :rule nary_cong :premises (@p48 @p76) :args (@t68)) % 3.71/3.95 (step @p78 :rule refl :args (@t30)) % 3.71/3.95 (step @p79 :rule cong :premises (@p78 @p77) :args ((=> @t30 @t68))) % 3.71/3.95 (assume-push @p853 @t30) % 3.71/3.95 (step @p81 :rule instantiate :premises (@p15) :args (@t56)) % 3.71/3.95 (step-pop @p854 :rule scope :premises (@p81)) % 3.71/3.95 (step @p82 :rule process_scope :premises (@p854) :args (@t68)) % 3.71/3.95 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 3.71/3.95 (step @p85 :rule implies_elim :premises (@p84)) % 3.71/3.95 (step @p86 :rule chain_m_resolution :premises (@p85 @p15) :args (@t70 @t59 @t71)) % 3.71/3.95 (step @p87 :rule cnf_or_pos :args (@t70)) % 3.71/3.95 (step @p88 :rule reordering :premises (@p87) :args ((or @t54 @t69 (not @t70)))) % 3.71/3.95 (step @p89 :rule chain_m_resolution :premises (@p88 @p17 @p86) :args (@t69 @t52 (@list @t32 @t70))) % 3.71/3.95 (step @p90 :rule eq-symm :args (@t72 tptp.n1)) % 3.71/3.95 (step @p91 :rule nary_cong :premises (@p63 @p90) :args (@t73)) % 3.71/3.95 (step @p92 :rule cong :premises (@p78 @p91) :args ((=> @t30 @t73))) % 3.71/3.95 (assume-push @p855 @t30) % 3.71/3.95 (step @p94 :rule instantiate :premises (@p15) :args (@t64)) % 3.71/3.95 (step-pop @p856 :rule scope :premises (@p94)) % 3.71/3.95 (step @p95 :rule process_scope :premises (@p856) :args (@t73)) % 3.71/3.95 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 3.71/3.95 (step @p98 :rule implies_elim :premises (@p97)) % 3.71/3.95 (step @p99 :rule chain_m_resolution :premises (@p98 @p15) :args (@t75 @t59 @t71)) % 3.71/3.95 (step @p100 :rule cnf_or_pos :args (@t75)) % 3.71/3.95 (step @p101 :rule reordering :premises (@p100) :args ((or @t62 @t74 (not @t75)))) % 3.71/3.95 (step @p102 :rule chain_m_resolution :premises (@p101 @p18 @p99) :args (@t74 @t52 (@list @t34 @t75))) % 3.71/3.95 (step @p103 :rule instantiate :premises (@p22) :args (@t56)) % 3.71/3.95 (step @p104 :rule instantiate :premises (@p22) :args (@t76)) % 3.71/3.95 (step @p105 :rule instantiate :premises (@p22) :args ((@list tptp.b tptp.a))) % 3.71/3.95 (step @p106 :rule instantiate :premises (@p22) :args ((@list tptp.r2 @t37))) % 3.71/3.95 (step @p107 :rule instantiate :premises (@p22) :args ((@list @t35 tptp.r1))) % 3.71/3.95 (step @p108 :rule instantiate :premises (@p28) :args (@t56)) % 3.71/3.95 (step @p109 :rule instantiate :premises (@p28) :args (@t41)) % 3.71/3.95 (step @p110 :rule instantiate :premises (@p28) :args ((@list tptp.a tptp.r2))) % 3.71/3.95 (step @p111 :rule instantiate :premises (@p28) :args ((@list @t35 @t38))) % 3.71/3.95 (step @p112 :rule instantiate :premises (@p5) :args (@t77)) % 3.71/3.95 (step @p113 :rule instantiate :premises (@p5) :args ((@list tptp.r1 tptp.b))) % 3.71/3.95 (step @p114 :rule instantiate :premises (@p5) :args (@t56)) % 3.71/3.95 (step @p115 :rule instantiate :premises (@p5) :args ((@list tptp.r1 @t38))) % 3.71/3.95 (step @p116 :rule instantiate :premises (@p5) :args (@t41)) % 3.71/3.95 (step @p117 :rule instantiate :premises (@p5) :args ((@list tptp.r1 @t36))) % 3.71/3.95 (step @p118 :rule instantiate :premises (@p5) :args ((@list tptp.a @t31))) % 3.71/3.95 (step @p119 :rule instantiate :premises (@p5) :args (@t64)) % 3.71/3.95 (step @p120 :rule instantiate :premises (@p6) :args (@t76)) % 3.71/3.95 (step @p121 :rule eq-symm :args (@t78 @t61)) % 3.71/3.95 (step @p122 :rule refl :args (@t18)) % 3.71/3.95 (step @p123 :rule cong :premises (@p122 @p121) :args ((=> @t18 @t79))) % 3.71/3.95 (assume-push @p857 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:premises (@p1101)) % 3.71/3.95 (step @p735 :rule process_scope :premises (@p1102) :args (@t186)) % 3.71/3.95 (step @p844 :rule implies_elim :premises (@p735)) % 3.71/3.95 (step @p845 :rule cnf_and_neg :args (@t355)) % 3.71/3.95 (step @p846 :rule resolution :premises (@p845 @p844) :args (true @t355)) % 3.71/3.95 (step @p847 :rule reordering :premises (@p846) :args ((or @t50 @t99 @t175 (not @t212) (not @t213) (not @t215) (not @t216) (not @t217) (not @t218) (not @t220) (not @t221) (not @t47) (not @t57) (not @t65) (not @t69) (not @t74) (not @t222) (not @t223) (not @t224) (not @t226) (not @t228) (not @t230) (not @t231) (not @t233) (not @t234) (not @t237) (not @t239) (not @t240) (not @t242) (not @t243) (not @t244) (not @t246) (not @t247) (not @t249) (not @t81) (not @t88) (not @t252) (not @t92) (not @t96) (not @t105) @t186 (not @t253) (not @t255) (not @t257) (not @t259) (not @t260) (not @t262) (not @t264) (not @t113) (not @t119) (not @t266) (not @t267) (not @t268) (not @t271) (not @t272) (not @t274) (not @t276) (not @t279) (not @t280) (not @t282) (not @t283) (not @t285) (not @t286) (not @t288) (not @t128) (not @t290) (not @t292) (not @t132) (not @t136) (not @t294) (not @t296) (not @t298) (not @t300) (not @t301) (not @t302) (not @t304) (not @t305) (not @t307) (not @t309) (not @t145) (not @t311) (not @t313) (not @t314) (not @t316) (not @t151) (not @t317) (not @t320) (not @t322) (not @t157) (not @t324) (not @t327) (not @t329) (not @t331) (not @t332) (not @t163) (not @t191) (not @t168) (not @t173) (not @t199) (not @t333) (not @t204) (not @t335) (not @t337) (not @t340) (not @t341) (not @t342) (not @t345) (not @t347) (not @t210)))) % 3.71/3.95 (step @p848 false :rule chain_m_resolution :premises (@p847 @p401 @p392 @p391 @p390 @p389 @p388 @p387 @p386 @p385 @p376 @p375 @p366 @p342 @p311 @p307 @p293 @p284 @p283 @p282 @p281 @p280 @p279 @p270 @p269 @p268 @p267 @p257 @p256 @p255 @p254 @p253 @p244 @p243 @p242 @p241 @p240 @p239 @p238 @p237 @p236 @p235 @p234 @p225 @p216 @p215 @p214 @p205 @p204 @p203 @p202 @p201 @p200 @p199 @p198 @p197 @p196 @p195 @p194 @p193 @p192 @p191 @p182 @p172 @p171 @p170 @p169 @p168 @p167 @p166 @p162 @p154 @p150 @p140 @p139 @p130 @p120 @p119 @p118 @p117 @p116 @p115 @p114 @p113 @p112 @p111 @p110 @p109 @p108 @p107 @p106 @p105 @p104 @p103 @p102 @p89 @p75 @p61 @p46 @p36 @p35 @p34 @p33 @p32 @p31 @p30 @p29 @p25 @p24 @p23) :args (false (@list false false false false false false false false 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 false false false false false false false false) (@list @t210 @t347 @t345 @t342 @t341 @t340 @t337 @t335 @t204 @t333 @t199 @t191 @t186 @t173 @t168 @t163 @t332 @t331 @t329 @t327 @t324 @t157 @t322 @t320 @t317 @t151 @t316 @t314 @t313 @t311 @t145 @t309 @t307 @t305 @t304 @t302 @t301 @t300 @t298 @t296 @t294 @t136 @t132 @t292 @t290 @t128 @t288 @t286 @t285 @t283 @t282 @t280 @t279 @t276 @t274 @t272 @t271 @t268 @t267 @t266 @t119 @t113 @t264 @t262 @t260 @t259 @t257 @t255 @t253 @t105 @t96 @t92 @t252 @t88 @t81 @t249 @t247 @t246 @t244 @t243 @t242 @t240 @t239 @t237 @t234 @t233 @t231 @t230 @t228 @t226 @t224 @t223 @t222 @t74 @t69 @t65 @t57 @t47 @t221 @t220 @t218 @t217 @t216 @t215 @t213 @t212 @t174 @t98 @t49))) % 3.71/3.95 ) % 3.71/3.96 % SZS output end Proof % 3.71/3.96 % cvc5 exiting %------------------------------------------------------------------------------