%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COM003+3 : TPTP v9.2.1. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n028.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 08:10:22 AM UTC 2026 % Result : Theorem 16.49s 16.84s % Output : Proof 16.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COM003+3 : TPTP v9.2.1. Released v2.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n028.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Mon Jun 1 20:28:05 EDT 2026 % 0.15/0.33 % CPUTime : % 0.26/0.48 %----Proving TF0_NAR, FOF, or CNF % 16.49/16.84 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.49/16.84 --- Run --no-e-matching --full-saturate-quant at 6... % 16.49/16.84 % SZS status Theorem % 16.49/16.84 % SZS output start Proof % 16.49/16.84 ( % 16.49/16.84 (declare-sort $$unsorted 0) % 16.49/16.84 (declare-const tptp.halts2 (-> $$unsorted $$unsorted Bool)) % 16.49/16.84 (declare-const tptp.halts3 (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.49/16.84 (declare-const tptp.bad $$unsorted) % 16.49/16.84 (declare-const tptp.good $$unsorted) % 16.49/16.84 (declare-const tptp.algorithm (-> $$unsorted Bool)) % 16.49/16.84 (declare-const tptp.outputs (-> $$unsorted $$unsorted Bool)) % 16.49/16.84 (declare-const tptp.program (-> $$unsorted Bool)) % 16.49/16.84 (declare-const tptp.decides (-> $$unsorted $$unsorted $$unsorted Bool)) % 16.49/16.84 (define @t1 () (@var "Z" $$unsorted)) % 16.49/16.84 (define @t2 () (@var "Y" $$unsorted)) % 16.49/16.84 (define @t3 () (@var "W" $$unsorted)) % 16.49/16.84 (define @t4 () (@list @t1)) % 16.49/16.84 (define @t5 () (forall @t4 (tptp.decides @t3 @t2 @t1))) % 16.49/16.84 (define @t6 () (tptp.program @t2)) % 16.49/16.84 (define @t7 () (@list @t2)) % 16.49/16.84 (define @t8 () (forall @t7 (=> @t6 @t5))) % 16.49/16.84 (define @t9 () (tptp.program @t3)) % 16.49/16.84 (define @t10 () (and @t9 @t8)) % 16.49/16.84 (define @t11 () (@list @t3)) % 16.49/16.84 (define @t12 () (exists @t11 @t10)) % 16.49/16.84 (define @t13 () (@var "X" $$unsorted)) % 16.49/16.84 (define @t14 () (forall @t4 (tptp.decides @t13 @t2 @t1))) % 16.49/16.84 (define @t15 () (forall @t7 (=> @t6 @t14))) % 16.49/16.84 (define @t16 () (tptp.algorithm @t13)) % 16.49/16.84 (define @t17 () (and @t16 @t15)) % 16.49/16.84 (define @t18 () (@list @t13)) % 16.49/16.84 (define @t19 () (exists @t18 @t17)) % 16.49/16.84 (define @t20 () (=> @t19 @t12)) % 16.49/16.84 (define @t21 () (tptp.outputs @t3 tptp.bad)) % 16.49/16.84 (define @t22 () (tptp.halts3 @t3 @t2 @t1)) % 16.49/16.84 (define @t23 () (and @t22 @t21)) % 16.49/16.84 (define @t24 () (tptp.halts2 @t2 @t1)) % 16.49/16.84 (define @t25 () (not @t24)) % 16.49/16.84 (define @t26 () (and @t6 @t25)) % 16.49/16.84 (define @t27 () (tptp.outputs @t3 tptp.good)) % 16.49/16.84 (define @t28 () (and @t22 @t27)) % 16.49/16.84 (define @t29 () (and @t6 @t24)) % 16.49/16.84 (define @t30 () (and (=> @t29 @t28) (=> @t26 @t23))) % 16.49/16.84 (define @t31 () (@list @t2 @t1)) % 16.49/16.84 (define @t32 () (forall @t31 @t30)) % 16.49/16.84 (define @t33 () (=> @t10 @t32)) % 16.49/16.84 (define @t34 () (forall @t11 @t33)) % 16.49/16.84 (define @t35 () (@var "V" $$unsorted)) % 16.49/16.84 (define @t36 () (tptp.outputs @t35 tptp.bad)) % 16.49/16.84 (define @t37 () (tptp.halts2 @t35 @t2)) % 16.49/16.84 (define @t38 () (and @t37 @t36)) % 16.49/16.84 (define @t39 () (tptp.halts3 @t3 @t2 @t2)) % 16.49/16.84 (define @t40 () (and @t6 @t39 @t21)) % 16.49/16.84 (define @t41 () (not @t37)) % 16.49/16.84 (define @t42 () (and @t6 @t39 @t27)) % 16.49/16.84 (define @t43 () (and (=> @t42 @t41) (=> @t40 @t38))) % 16.49/16.84 (define @t44 () (forall @t7 @t43)) % 16.49/16.84 (define @t45 () (tptp.program @t35)) % 16.49/16.84 (define @t46 () (and @t45 @t44)) % 16.49/16.84 (define @t47 () (@list @t35)) % 16.49/16.84 (define @t48 () (exists @t47 @t46)) % 16.49/16.84 (define @t49 () (and @t9 @t32)) % 16.49/16.84 (define @t50 () (=> @t49 @t48)) % 16.49/16.84 (define @t51 () (forall @t11 @t50)) % 16.49/16.84 (define @t52 () (@var "Z1" $$unsorted)) % 16.49/16.84 (define @t53 () (@var "Y1" $$unsorted)) % 16.49/16.84 (define @t54 () (@var "X1" $$unsorted)) % 16.49/16.84 (define @t55 () (forall (@list @t52) (tptp.decides @t54 @t53 @t52))) % 16.49/16.84 (define @t56 () (tptp.program @t53)) % 16.49/16.84 (define @t57 () (@list @t53)) % 16.49/16.84 (define @t58 () (forall @t57 (=> @t56 @t55))) % 16.49/16.84 (define @t59 () (tptp.algorithm @t54)) % 16.49/16.84 (define @t60 () (and @t59 @t58)) % 16.49/16.84 (define @t61 () (@list @t54)) % 16.49/16.84 (define @t62 () (exists @t61 @t60)) % 16.49/16.84 (define @t63 () (@var "BOUND_VARIABLE_7620" $$unsorted)) % 16.49/16.84 (define @t64 () (and (tptp.halts2 @t35 @t63) @t36)) % 16.49/16.84 (define @t65 () (not (tptp.halts3 @t3 @t63 @t63))) % 16.49/16.84 (define @t66 () (not (tptp.program @t63))) % 16.49/16.84 (define @t67 () (or @t66 @t65 @t64)) % 16.49/16.84 (define @t68 () (@list @t63)) % 16.49/16.84 (define @t69 () (forall @t68 @t67)) % 16.49/16.84 (define @t70 () (not @t69)) % 16.49/16.84 (define @t71 () (@var "BOUND_VARIABLE_7609" $$unsorted)) % 16.49/16.84 (define @t72 () (not (tptp.halts2 @t35 @t71))) % 16.49/16.84 (define @t73 () (not (tptp.halts3 @t3 @t71 @t71))) % 16.49/16.84 (define @t74 () (not (tptp.program @t71))) % 16.49/16.84 (define @t75 () (or @t74 @t73 @t72)) % 16.49/16.84 (define @t76 () (@list @t71)) % 16.49/16.84 (define @t77 () (forall @t76 @t75)) % 16.49/16.84 (define @t78 () (not @t77)) % 16.49/16.84 (define @t79 () (not @t45)) % 16.49/16.84 (define @t80 () (not (forall @t47 (or @t79 (and @t27 @t78) (and @t21 @t70))))) % 16.49/16.84 (define @t81 () (@var "BOUND_VARIABLE_7555" $$unsorted)) % 16.49/16.84 (define @t82 () (@var "BOUND_VARIABLE_7553" $$unsorted)) % 16.49/16.84 (define @t83 () (tptp.halts2 @t82 @t81)) % 16.49/16.84 (define @t84 () (not (tptp.program @t82))) % 16.49/16.84 (define @t85 () (@list @t82 @t81)) % 16.49/16.84 (define @t86 () (forall @t85 (or @t84 @t83 (and (tptp.halts3 @t3 @t82 @t81) @t21)))) % 16.49/16.84 (define @t87 () (not @t86)) % 16.49/16.84 (define @t88 () (@var "BOUND_VARIABLE_7542" $$unsorted)) % 16.49/16.84 (define @t89 () (@var "BOUND_VARIABLE_7540" $$unsorted)) % 16.49/16.84 (define @t90 () (not (tptp.halts2 @t89 @t88))) % 16.49/16.84 (define @t91 () (not (tptp.program @t89))) % 16.49/16.84 (define @t92 () (@list @t89 @t88)) % 16.49/16.84 (define @t93 () (forall @t92 (or @t91 @t90 (and (tptp.halts3 @t3 @t89 @t88) @t27)))) % 16.49/16.84 (define @t94 () (not @t93)) % 16.49/16.84 (define @t95 () (not @t9)) % 16.49/16.84 (define @t96 () (or @t95 @t94 @t87)) % 16.49/16.84 (define @t97 () (and @t93 @t86)) % 16.49/16.84 (define @t98 () (and @t9 @t93 @t86)) % 16.49/16.84 (define @t99 () (not @t21)) % 16.49/16.84 (define @t100 () (not @t27)) % 16.49/16.84 (define @t101 () (or @t99 @t69)) % 16.49/16.84 (define @t102 () (not @t101)) % 16.49/16.84 (define @t103 () (or @t100 @t77)) % 16.49/16.84 (define @t104 () (not @t103)) % 16.49/16.84 (define @t105 () (or @t79 @t104 @t102)) % 16.49/16.84 (define @t106 () (and @t103 @t101)) % 16.49/16.84 (define @t107 () (and @t45 @t103 @t101)) % 16.49/16.84 (define @t108 () (forall @t47 (not @t107))) % 16.49/16.84 (define @t109 () (not @t108)) % 16.49/16.84 (define @t110 () (or @t99 @t67)) % 16.49/16.84 (define @t111 () (or @t66 @t65 @t99 @t64)) % 16.49/16.84 (define @t112 () (forall @t68 @t111)) % 16.49/16.84 (define @t113 () (or @t100 @t75)) % 16.49/16.84 (define @t114 () (or @t74 @t73 @t100 @t72)) % 16.49/16.84 (define @t115 () (forall @t76 @t114)) % 16.49/16.84 (define @t116 () (not @t39)) % 16.49/16.84 (define @t117 () (not @t6)) % 16.49/16.84 (define @t118 () (or @t117 @t116 @t99 @t38)) % 16.49/16.84 (define @t119 () (forall @t7 @t118)) % 16.49/16.84 (define @t120 () (@list @t2)) % 16.49/16.84 (define @t121 () (or @t117 @t116 @t100 @t41)) % 16.49/16.84 (define @t122 () (forall @t7 @t121)) % 16.49/16.84 (define @t123 () (and @t122 @t119)) % 16.49/16.84 (define @t124 () (or @t117 @t116 @t99)) % 16.49/16.84 (define @t125 () (or @t117 @t116 @t100)) % 16.49/16.84 (define @t126 () (or @t117 @t24 @t23)) % 16.49/16.84 (define @t127 () (forall @t31 @t126)) % 16.49/16.84 (define @t128 () (@list @t2 @t1)) % 16.49/16.84 (define @t129 () (@list @t82 @t81)) % 16.49/16.84 (define @t130 () (or @t117 @t25 @t28)) % 16.49/16.84 (define @t131 () (forall @t31 @t130)) % 16.49/16.84 (define @t132 () (@list @t89 @t88)) % 16.49/16.84 (define @t133 () (and @t131 @t127)) % 16.49/16.84 (define @t134 () (@var "BOUND_VARIABLE_7514" $$unsorted)) % 16.49/16.84 (define @t135 () (tptp.decides @t3 @t2 @t134)) % 16.49/16.84 (define @t136 () (or @t117 @t135)) % 16.49/16.84 (define @t137 () (@list @t2 @t134)) % 16.49/16.84 (define @t138 () (forall @t137 @t136)) % 16.49/16.84 (define @t139 () (not @t138)) % 16.49/16.84 (define @t140 () (or @t95 @t139)) % 16.49/16.84 (define @t141 () (forall @t11 @t140)) % 16.49/16.84 (define @t142 () (@quantifiers_skolemize @t141 0)) % 16.49/16.84 (define @t143 () (@list @t142)) % 16.49/16.84 (define @t144 () (@var "BOUND_VARIABLE_7583" $$unsorted)) % 16.49/16.84 (define @t145 () (@var "BOUND_VARIABLE_7581" $$unsorted)) % 16.49/16.84 (define @t146 () (or (not (tptp.program @t145)) (tptp.halts2 @t145 @t144) (and (tptp.halts3 @t3 @t145 @t144) @t21))) % 16.49/16.84 (define @t147 () (@var "BOUND_VARIABLE_7572" $$unsorted)) % 16.49/16.84 (define @t148 () (@var "BOUND_VARIABLE_7570" $$unsorted)) % 16.49/16.84 (define @t149 () (or (not (tptp.program @t148)) (not (tptp.halts2 @t148 @t147)) (and (tptp.halts3 @t3 @t148 @t147) @t27))) % 16.49/16.84 (define @t150 () (and @t149 @t146)) % 16.49/16.84 (define @t151 () (or @t95 @t139 @t150)) % 16.49/16.84 (define @t152 () (@list @t148 @t147 @t145 @t144)) % 16.49/16.84 (define @t153 () (forall @t152 @t151)) % 16.49/16.84 (define @t154 () (forall (@list @t145 @t144) @t146)) % 16.49/16.84 (define @t155 () (forall @t152 @t146)) % 16.49/16.84 (define @t156 () (forall (@list @t148 @t147) @t149)) % 16.49/16.84 (define @t157 () (forall @t152 @t149)) % 16.49/16.84 (define @t158 () (and @t157 @t155)) % 16.49/16.84 (define @t159 () (forall @t152 @t150)) % 16.49/16.84 (define @t160 () (or @t95 @t139 @t159)) % 16.49/16.84 (define @t161 () (or @t95 @t139 @t97)) % 16.49/16.84 (define @t162 () (and @t9 @t138)) % 16.49/16.84 (define @t163 () (not @t162)) % 16.49/16.84 (define @t164 () (@list @t134)) % 16.49/16.84 (define @t165 () (forall @t164 @t136)) % 16.49/16.84 (define @t166 () (forall @t164 @t135)) % 16.49/16.84 (define @t167 () (@list @t1)) % 16.49/16.84 (define @t168 () (or @t117 @t166)) % 16.49/16.84 (define @t169 () (tptp.outputs @t142 tptp.bad)) % 16.49/16.84 (define @t170 () (forall @t85 (or @t84 @t83 (and (tptp.halts3 @t142 @t82 @t81) @t169)))) % 16.49/16.84 (define @t171 () (@quantifiers_skolemize @t170 1)) % 16.49/16.84 (define @t172 () (@quantifiers_skolemize @t170 0)) % 16.49/16.84 (define @t173 () (@var "BOUND_VARIABLE_7496" $$unsorted)) % 16.49/16.84 (define @t174 () (tptp.decides @t13 @t2 @t173)) % 16.49/16.84 (define @t175 () (or @t117 @t174)) % 16.49/16.84 (define @t176 () (forall (@list @t2 @t173) @t175)) % 16.49/16.84 (define @t177 () (forall @t18 (or (not @t16) (not @t176)))) % 16.49/16.84 (define @t178 () (@quantifiers_skolemize @t177 0)) % 16.49/16.84 (define @t179 () (@var "BOUND_VARIABLE_7667" $$unsorted)) % 16.49/16.84 (define @t180 () (tptp.decides @t54 @t53 @t179)) % 16.49/16.84 (define @t181 () (not @t56)) % 16.49/16.84 (define @t182 () (or @t181 @t180)) % 16.49/16.84 (define @t183 () (forall (@list @t53 @t179) @t182)) % 16.49/16.84 (define @t184 () (and @t59 @t183)) % 16.49/16.84 (define @t185 () (forall @t61 (not @t184))) % 16.49/16.84 (define @t186 () (not @t185)) % 16.49/16.84 (define @t187 () (@list @t179)) % 16.49/16.84 (define @t188 () (forall @t187 @t182)) % 16.49/16.84 (define @t189 () (forall @t187 @t180)) % 16.49/16.84 (define @t190 () (or @t181 @t189)) % 16.49/16.84 (define @t191 () (not @t177)) % 16.49/16.84 (define @t192 () (@list true)) % 16.49/16.84 (define @t193 () (not @t141)) % 16.49/16.84 (define @t194 () (forall @t11 @t163)) % 16.49/16.84 (define @t195 () (not @t194)) % 16.49/16.84 (define @t196 () (and @t16 @t176)) % 16.49/16.84 (define @t197 () (forall @t18 (not @t196))) % 16.49/16.84 (define @t198 () (not @t197)) % 16.49/16.84 (define @t199 () (@list @t173)) % 16.49/16.84 (define @t200 () (forall @t199 @t175)) % 16.49/16.84 (define @t201 () (forall @t199 @t174)) % 16.49/16.84 (define @t202 () (or @t117 @t201)) % 16.49/16.84 (define @t203 () (forall @t137 (or @t117 (tptp.decides @t142 @t2 @t134)))) % 16.49/16.84 (define @t204 () (not @t203)) % 16.49/16.84 (define @t205 () (tptp.program @t142)) % 16.49/16.84 (define @t206 () (not @t205)) % 16.49/16.84 (define @t207 () (or @t206 @t204)) % 16.49/16.84 (define @t208 () (@list @t207)) % 16.49/16.84 (define @t209 () (or (not (tptp.program @t172)) (tptp.halts2 @t172 @t171) (and (tptp.halts3 @t142 @t172 @t171) @t169))) % 16.49/16.84 (define @t210 () (tptp.outputs @t142 tptp.good)) % 16.49/16.84 (define @t211 () (tptp.halts3 @t142 @t142 @t178)) % 16.49/16.84 (define @t212 () (and @t211 @t210)) % 16.49/16.84 (define @t213 () (tptp.halts2 @t142 @t178)) % 16.49/16.84 (define @t214 () (not @t213)) % 16.49/16.84 (define @t215 () (or @t206 @t214 @t212)) % 16.49/16.84 (define @t216 () (and @t215 @t209)) % 16.49/16.84 (define @t217 () (or @t206 @t204 @t216)) % 16.49/16.84 (define @t218 () (@list false false false)) % 16.49/16.84 (define @t219 () (@list false)) % 16.49/16.84 (define @t220 () (not @t209)) % 16.49/16.84 (define @t221 () (not @t170)) % 16.49/16.84 (define @t222 () (forall @t92 (or @t91 @t90 (and (tptp.halts3 @t142 @t89 @t88) @t210)))) % 16.49/16.84 (define @t223 () (@quantifiers_skolemize @t222 1)) % 16.49/16.84 (define @t224 () (@quantifiers_skolemize @t222 0)) % 16.49/16.84 (define @t225 () (and @t211 @t169)) % 16.49/16.84 (define @t226 () (or @t206 @t213 @t225)) % 16.49/16.84 (define @t227 () (or (not (tptp.program @t224)) (not (tptp.halts2 @t224 @t223)) (and (tptp.halts3 @t142 @t224 @t223) @t210))) % 16.49/16.84 (define @t228 () (and @t227 @t226)) % 16.49/16.84 (define @t229 () (or @t206 @t204 @t228)) % 16.49/16.84 (define @t230 () (not @t227)) % 16.49/16.84 (define @t231 () (not @t222)) % 16.49/16.84 (define @t232 () (not (tptp.halts3 @t142 @t63 @t63))) % 16.49/16.84 (define @t233 () (not (tptp.halts3 @t142 @t71 @t71))) % 16.49/16.84 (define @t234 () (forall @t47 (or @t79 (and @t210 (not (forall @t76 (or @t74 @t233 @t72)))) (and @t169 (not (forall @t68 (or @t66 @t232 @t64))))))) % 16.49/16.84 (define @t235 () (not @t234)) % 16.49/16.84 (define @t236 () (or @t206 @t231 @t221 @t235)) % 16.49/16.84 (define @t237 () (@quantifiers_skolemize @t234 0)) % 16.49/16.84 (define @t238 () (tptp.outputs @t237 tptp.bad)) % 16.49/16.84 (define @t239 () (forall @t68 (or @t66 @t232 (and (tptp.halts2 @t237 @t63) @t238)))) % 16.49/16.84 (define @t240 () (not @t239)) % 16.49/16.84 (define @t241 () (and @t169 @t240)) % 16.49/16.84 (define @t242 () (forall @t76 (or @t74 @t233 (not (tptp.halts2 @t237 @t71))))) % 16.49/16.84 (define @t243 () (not @t242)) % 16.49/16.84 (define @t244 () (and @t210 @t243)) % 16.49/16.84 (define @t245 () (tptp.program @t237)) % 16.49/16.84 (define @t246 () (not @t245)) % 16.49/16.84 (define @t247 () (or @t246 @t244 @t241)) % 16.49/16.84 (define @t248 () (not @t247)) % 16.49/16.84 (define @t249 () (@list @t247)) % 16.49/16.84 (define @t250 () (and @t215 @t226)) % 16.49/16.84 (define @t251 () (or @t206 @t204 @t250)) % 16.49/16.84 (define @t252 () (not @t250)) % 16.49/16.84 (define @t253 () (@list @t250)) % 16.49/16.84 (define @t254 () (tptp.halts3 @t142 @t142 @t142)) % 16.49/16.84 (define @t255 () (and @t254 @t169)) % 16.49/16.84 (define @t256 () (and @t254 @t210)) % 16.49/16.84 (define @t257 () (@list @t142 @t142)) % 16.49/16.84 (define @t258 () (tptp.halts2 @t142 @t142)) % 16.49/16.84 (define @t259 () (or @t206 @t258 @t255)) % 16.49/16.84 (define @t260 () (@list @t170)) % 16.49/16.84 (define @t261 () (not @t258)) % 16.49/16.84 (define @t262 () (or @t206 @t261 @t256)) % 16.49/16.84 (define @t263 () (@list @t222)) % 16.49/16.84 (define @t264 () (tptp.halts2 @t237 @t142)) % 16.49/16.84 (define @t265 () (and @t264 @t238)) % 16.49/16.84 (define @t266 () (not @t254)) % 16.49/16.84 (define @t267 () (or @t206 @t266 @t265)) % 16.49/16.84 (define @t268 () (not @t267)) % 16.49/16.84 (define @t269 () (not @t264)) % 16.49/16.84 (define @t270 () (or @t206 @t266 @t269)) % 16.49/16.84 (define @t271 () (not @t270)) % 16.49/16.84 (define @t272 () (@list @t237 @t142)) % 16.49/16.84 (define @t273 () (tptp.halts3 @t142 @t237 @t142)) % 16.49/16.84 (define @t274 () (and @t273 @t210)) % 16.49/16.84 (define @t275 () (or @t246 @t269 @t274)) % 16.49/16.84 (define @t276 () (not @t210)) % 16.49/16.84 (define @t277 () (not @t169)) % 16.49/16.84 (define @t278 () (not @t225)) % 16.49/16.84 (define @t279 () (@list @t169)) % 16.49/16.84 (define @t280 () (and @t273 @t169)) % 16.49/16.84 (define @t281 () (not @t280)) % 16.49/16.84 (define @t282 () (or @t246 @t264 @t280)) % 16.49/16.84 (assume @p1 @t20) % 16.49/16.84 (assume @p2 @t34) % 16.49/16.84 (assume @p3 @t51) % 16.49/16.84 (assume @p4 (not (not @t62))) % 16.49/16.84 (assume @p5 true) % 16.49/16.84 (step @p6 :rule aci_norm :args ((= (or @t96 @t80) (or @t95 @t94 @t87 @t80)))) % 16.49/16.84 (step @p7 :rule refl :args (@t80)) % 16.49/16.84 (step @p8 :rule aci_norm :args ((= (or @t95 (or @t94 @t87)) @t96))) % 16.49/16.84 (step @p9 :rule bool-and-de-morgan :args (@t93 @t86 true)) % 16.49/16.84 (step @p10 :rule refl :args (@t95)) % 16.49/16.84 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or @t95 (not @t97)))) % 16.49/16.84 (step @p12 :rule bool-and-de-morgan :args (@t9 @t93 (and @t86))) % 16.49/16.84 (step @p13 :rule trans :premises (@p12 @p11)) % 16.49/16.84 (step @p14 :rule trans :premises (@p13 @p8)) % 16.49/16.84 (step @p15 :rule nary_cong :premises (@p14 @p7) :args ((or (not @t98) @t80))) % 16.49/16.84 (step @p16 :rule trans :premises (@p15 @p6)) % 16.49/16.84 (step @p17 :rule bool-impl-elim :args (@t98 @t80)) % 16.49/16.84 (step @p18 :rule trans :premises (@p17 @p16)) % 16.49/16.84 (step @p19 :rule cong :premises (@p18) :args ((forall @t11 (=> @t98 @t80)))) % 16.49/16.84 (step @p20 :rule refl :args (@t70)) % 16.49/16.84 (step @p21 :rule bool-double-not-elim :args (@t21)) % 16.49/16.84 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((and (not @t99) @t70))) % 16.49/16.84 (step @p23 :rule bool-or-de-morgan :args (@t99 @t69 false)) % 16.49/16.84 (step @p24 :rule trans :premises (@p23 @p22)) % 16.49/16.84 (step @p25 :rule refl :args (@t78)) % 16.49/16.84 (step @p26 :rule bool-double-not-elim :args (@t27)) % 16.49/16.84 (step @p27 :rule nary_cong :premises (@p26 @p25) :args ((and (not @t100) @t78))) % 16.49/16.84 (step @p28 :rule bool-or-de-morgan :args (@t100 @t77 false)) % 16.49/16.84 (step @p29 :rule trans :premises (@p28 @p27)) % 16.49/16.84 (step @p30 :rule refl :args (@t79)) % 16.49/16.84 (step @p31 :rule nary_cong :premises (@p30 @p29 @p24) :args (@t105)) % 16.49/16.84 (step @p32 :rule aci_norm :args ((= (or @t79 (or @t104 @t102)) @t105))) % 16.49/16.84 (step @p33 :rule bool-and-de-morgan :args (@t103 @t101 true)) % 16.49/16.84 (step @p34 :rule nary_cong :premises (@p30 @p33) :args ((or @t79 (not @t106)))) % 16.49/16.84 (step @p35 :rule bool-and-de-morgan :args (@t45 @t103 (and @t101))) % 16.49/16.84 (step @p36 :rule trans :premises (@p35 @p34)) % 16.49/16.84 (step @p37 :rule trans :premises (@p36 @p32)) % 16.49/16.84 (step @p38 :rule trans :premises (@p37 @p31)) % 16.49/16.84 (step @p39 :rule cong :premises (@p38) :args (@t108)) % 16.49/16.84 (step @p40 :rule cong :premises (@p39) :args (@t109)) % 16.49/16.84 (step @p41 :rule exists-elim :args ((= (exists @t47 @t107) @t109))) % 16.49/16.84 (step @p42 :rule trans :premises (@p41 @p40)) % 16.49/16.84 (step @p43 :rule aci_norm :args ((= (and @t45 @t106) @t107))) % 16.49/16.84 (step @p44 :rule quant-miniscope-or :args ((= (forall @t68 @t110) @t101))) % 16.49/16.84 (step @p45 :rule aci_norm :args ((= @t111 @t110))) % 16.49/16.84 (step @p46 :rule cong :premises (@p45) :args (@t112)) % 16.49/16.84 (step @p47 :rule trans :premises (@p46 @p44)) % 16.49/16.84 (step @p48 :rule quant-miniscope-or :args ((= (forall @t76 @t113) @t103))) % 16.49/16.84 (step @p49 :rule aci_norm :args ((= @t114 @t113))) % 16.49/16.84 (step @p50 :rule cong :premises (@p49) :args (@t115)) % 16.49/16.84 (step @p51 :rule trans :premises (@p50 @p48)) % 16.49/16.84 (step @p52 :rule nary_cong :premises (@p51 @p47) :args ((and @t115 @t112))) % 16.49/16.84 (step @p53 :rule alpha_equiv :args (@t119 @t120 (@list @t63))) % 16.49/16.84 (step @p54 :rule alpha_equiv :args (@t122 @t120 (@list @t71))) % 16.49/16.84 (step @p55 :rule nary_cong :premises (@p54 @p53) :args (@t123)) % 16.49/16.84 (step @p56 :rule quant-miniscope-and :args ((= (forall @t7 (and @t121 @t118)) @t123))) % 16.49/16.84 (step @p57 :rule trans :premises (@p56 @p55)) % 16.49/16.84 (step @p58 :rule trans :premises (@p57 @p52)) % 16.49/16.84 (step @p59 :rule aci_norm :args ((= (or @t124 @t38) @t118))) % 16.49/16.84 (step @p60 :rule refl :args (@t38)) % 16.49/16.84 (step @p61 :rule aci_norm :args ((= (or @t117 (or @t116 @t99)) @t124))) % 16.49/16.84 (step @p62 :rule bool-and-de-morgan :args (@t39 @t21 true)) % 16.49/16.84 (step @p63 :rule refl :args (@t117)) % 16.49/16.84 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t117 (not (and @t39 @t21))))) % 16.49/16.84 (step @p65 :rule bool-and-de-morgan :args (@t6 @t39 (and @t21))) % 16.49/16.84 (step @p66 :rule trans :premises (@p65 @p64)) % 16.49/16.84 (step @p67 :rule trans :premises (@p66 @p61)) % 16.49/16.84 (step @p68 :rule nary_cong :premises (@p67 @p60) :args ((or (not @t40) @t38))) % 16.49/16.84 (step @p69 :rule trans :premises (@p68 @p59)) % 16.49/16.84 (step @p70 :rule bool-impl-elim :args (@t40 @t38)) % 16.49/16.84 (step @p71 :rule trans :premises (@p70 @p69)) % 16.49/16.84 (step @p72 :rule aci_norm :args ((= (or @t125 @t41) @t121))) % 16.49/16.84 (step @p73 :rule refl :args (@t41)) % 16.49/16.84 (step @p74 :rule aci_norm :args ((= (or @t117 (or @t116 @t100)) @t125))) % 16.49/16.84 (step @p75 :rule bool-and-de-morgan :args (@t39 @t27 true)) % 16.49/16.84 (step @p76 :rule nary_cong :premises (@p63 @p75) :args ((or @t117 (not (and @t39 @t27))))) % 16.49/16.84 (step @p77 :rule bool-and-de-morgan :args (@t6 @t39 (and @t27))) % 16.49/16.84 (step @p78 :rule trans :premises (@p77 @p76)) % 16.49/16.84 (step @p79 :rule trans :premises (@p78 @p74)) % 16.49/16.84 (step @p80 :rule nary_cong :premises (@p79 @p73) :args ((or (not @t42) @t41))) % 16.49/16.84 (step @p81 :rule trans :premises (@p80 @p72)) % 16.49/16.84 (step @p82 :rule bool-impl-elim :args (@t42 @t41)) % 16.49/16.84 (step @p83 :rule trans :premises (@p82 @p81)) % 16.49/16.84 (step @p84 :rule nary_cong :premises (@p83 @p71) :args (@t43)) % 16.49/16.84 (step @p85 :rule cong :premises (@p84) :args (@t44)) % 16.49/16.84 (step @p86 :rule trans :premises (@p85 @p58)) % 16.49/16.84 (step @p87 :rule refl :args (@t45)) % 16.49/16.84 (step @p88 :rule nary_cong :premises (@p87 @p86) :args (@t46)) % 16.49/16.84 (step @p89 :rule trans :premises (@p88 @p43)) % 16.49/16.84 (step @p90 :rule cong :premises (@p89) :args (@t48)) % 16.49/16.84 (step @p91 :rule trans :premises (@p90 @p42)) % 16.49/16.84 (step @p92 :rule aci_norm :args ((= (and @t9 @t97) @t98))) % 16.49/16.84 (step @p93 :rule alpha_equiv :args (@t127 @t128 @t129)) % 16.49/16.84 (step @p94 :rule alpha_equiv :args (@t131 @t128 @t132)) % 16.49/16.84 (step @p95 :rule nary_cong :premises (@p94 @p93) :args (@t133)) % 16.49/16.84 (step @p96 :rule quant-miniscope-and :args ((= (forall @t31 (and @t130 @t126)) @t133))) % 16.49/16.84 (step @p97 :rule trans :premises (@p96 @p95)) % 16.49/16.84 (step @p98 :rule aci_norm :args ((= (or (or @t117 @t24) @t23) @t126))) % 16.49/16.84 (step @p99 :rule refl :args (@t23)) % 16.49/16.84 (step @p100 :rule bool-double-not-elim :args (@t24)) % 16.49/16.84 (step @p101 :rule nary_cong :premises (@p63 @p100) :args ((or @t117 (not @t25)))) % 16.49/16.84 (step @p102 :rule bool-and-de-morgan :args (@t6 @t25 true)) % 16.49/16.84 (step @p103 :rule trans :premises (@p102 @p101)) % 16.49/16.84 (step @p104 :rule nary_cong :premises (@p103 @p99) :args ((or (not @t26) @t23))) % 16.49/16.84 (step @p105 :rule trans :premises (@p104 @p98)) % 16.49/16.84 (step @p106 :rule bool-impl-elim :args (@t26 @t23)) % 16.49/16.84 (step @p107 :rule trans :premises (@p106 @p105)) % 16.49/16.84 (step @p108 :rule aci_norm :args ((= (or (or @t117 @t25) @t28) @t130))) % 16.49/16.84 (step @p109 :rule refl :args (@t28)) % 16.49/16.84 (step @p110 :rule bool-and-de-morgan :args (@t6 @t24 true)) % 16.49/16.84 (step @p111 :rule nary_cong :premises (@p110 @p109) :args ((or (not @t29) @t28))) % 16.49/16.84 (step @p112 :rule trans :premises (@p111 @p108)) % 16.49/16.84 (step @p113 :rule bool-impl-elim :args (@t29 @t28)) % 16.49/16.84 (step @p114 :rule trans :premises (@p113 @p112)) % 16.49/16.84 (step @p115 :rule nary_cong :premises (@p114 @p107) :args (@t30)) % 16.49/16.84 (step @p116 :rule cong :premises (@p115) :args (@t32)) % 16.49/16.84 (step @p117 :rule trans :premises (@p116 @p97)) % 16.49/16.84 (step @p118 :rule refl :args (@t9)) % 16.49/16.84 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t49)) % 16.49/16.84 (step @p120 :rule trans :premises (@p119 @p92)) % 16.49/16.84 (step @p121 :rule cong :premises (@p120 @p91) :args (@t50)) % 16.49/16.84 (step @p122 :rule cong :premises (@p121) :args (@t51)) % 16.49/16.84 (step @p123 :rule trans :premises (@p122 @p19)) % 16.49/16.84 (step @p124 :rule eq_resolve :premises (@p3 @p123)) % 16.49/16.84 (step @p125 :rule instantiate :premises (@p124) :args (@t143)) % 16.49/16.84 (step @p126 :rule quant-merge-prenex :args ((= (forall @t11 @t153) (forall (@list @t3 @t148 @t147 @t145 @t144) @t151)))) % 16.49/16.84 (step @p127 :rule alpha_equiv :args (@t154 (@list @t145 @t144) @t129)) % 16.49/16.84 (step @p128 :rule quant-unused-vars :args ((= @t155 @t154))) % 16.49/16.84 (step @p129 :rule trans :premises (@p128 @p127)) % 16.49/16.84 (step @p130 :rule alpha_equiv :args (@t156 (@list @t148 @t147) @t132)) % 16.49/16.84 (step @p131 :rule quant-unused-vars :args ((= @t157 @t156))) % 16.49/16.84 (step @p132 :rule trans :premises (@p131 @p130)) % 16.49/16.84 (step @p133 :rule nary_cong :premises (@p132 @p129) :args (@t158)) % 16.49/16.84 (step @p134 :rule quant-miniscope-and :args ((= @t159 @t158))) % 16.49/16.84 (step @p135 :rule trans :premises (@p134 @p133)) % 16.49/16.84 (step @p136 :rule refl :args (@t139)) % 16.49/16.84 (step @p137 :rule nary_cong :premises (@p10 @p136 @p135) :args (@t160)) % 16.49/16.84 (step @p138 :rule quant-miniscope-or :args ((= @t153 @t160))) % 16.49/16.84 (step @p139 :rule trans :premises (@p138 @p137)) % 16.49/16.84 (step @p140 :rule symm :premises (@p139)) % 16.49/16.84 (step @p141 :rule cong :premises (@p140) :args ((forall @t11 @t161))) % 16.49/16.84 (step @p142 :rule trans :premises (@p141 @p126)) % 16.49/16.84 (step @p143 :rule aci_norm :args ((= (or @t140 @t97) @t161))) % 16.49/16.84 (step @p144 :rule refl :args (@t97)) % 16.49/16.84 (step @p145 :rule bool-and-de-morgan :args (@t9 @t138 true)) % 16.49/16.84 (step @p146 :rule nary_cong :premises (@p145 @p144) :args ((or @t163 @t97))) % 16.49/16.84 (step @p147 :rule trans :premises (@p146 @p143)) % 16.49/16.84 (step @p148 :rule bool-impl-elim :args (@t162 @t97)) % 16.49/16.84 (step @p149 :rule trans :premises (@p148 @p147)) % 16.49/16.84 (step @p150 :rule cong :premises (@p149) :args ((forall @t11 (=> @t162 @t97)))) % 16.49/16.84 (step @p151 :rule trans :premises (@p150 @p142)) % 16.49/16.84 (step @p152 :rule quant-merge-prenex :args ((= (forall @t7 @t165) @t138))) % 16.49/16.84 (step @p153 :rule alpha_equiv :args (@t166 (@list @t134) @t167)) % 16.49/16.84 (step @p154 :rule nary_cong :premises (@p63 @p153) :args (@t168)) % 16.49/16.84 (step @p155 :rule quant-miniscope-or :args ((= @t165 @t168))) % 16.49/16.84 (step @p156 :rule trans :premises (@p155 @p154)) % 16.49/16.84 (step @p157 :rule symm :premises (@p156)) % 16.49/16.84 (step @p158 :rule cong :premises (@p157) :args ((forall @t7 (or @t117 @t5)))) % 16.49/16.84 (step @p159 :rule trans :premises (@p158 @p152)) % 16.49/16.84 (step @p160 :rule bool-impl-elim :args (@t6 @t5)) % 16.49/16.84 (step @p161 :rule cong :premises (@p160) :args (@t8)) % 16.49/16.84 (step @p162 :rule trans :premises (@p161 @p159)) % 16.49/16.84 (step @p163 :rule nary_cong :premises (@p118 @p162) :args (@t10)) % 16.49/16.84 (step @p164 :rule cong :premises (@p163 @p117) :args (@t33)) % 16.49/16.84 (step @p165 :rule cong :premises (@p164) :args (@t34)) % 16.49/16.84 (step @p166 :rule trans :premises (@p165 @p151)) % 16.49/16.84 (step @p167 :rule eq_resolve :premises (@p2 @p166)) % 16.49/16.84 (step @p168 :rule instantiate :premises (@p167) :args ((@list @t142 @t142 @t178 @t172 @t171))) % 16.49/16.84 (step @p169 :rule bool-and-de-morgan :args (@t59 @t183 true)) % 16.49/16.84 (step @p170 :rule cong :premises (@p169) :args (@t185)) % 16.49/16.84 (step @p171 :rule cong :premises (@p170) :args (@t186)) % 16.49/16.84 (step @p172 :rule exists-elim :args ((= (exists @t61 @t184) @t186))) % 16.49/16.84 (step @p173 :rule trans :premises (@p172 @p171)) % 16.49/16.84 (step @p174 :rule quant-merge-prenex :args ((= (forall @t57 @t188) @t183))) % 16.49/16.84 (step @p175 :rule alpha_equiv :args (@t189 (@list @t179) (@list @t52))) % 16.49/16.84 (step @p176 :rule refl :args (@t181)) % 16.49/16.84 (step @p177 :rule nary_cong :premises (@p176 @p175) :args (@t190)) % 16.49/16.84 (step @p178 :rule quant-miniscope-or :args ((= @t188 @t190))) % 16.49/16.84 (step @p179 :rule trans :premises (@p178 @p177)) % 16.49/16.84 (step @p180 :rule symm :premises (@p179)) % 16.49/16.84 (step @p181 :rule cong :premises (@p180) :args ((forall @t57 (or @t181 @t55)))) % 16.49/16.84 (step @p182 :rule trans :premises (@p181 @p174)) % 16.49/16.84 (step @p183 :rule bool-impl-elim :args (@t56 @t55)) % 16.49/16.84 (step @p184 :rule cong :premises (@p183) :args (@t58)) % 16.49/16.84 (step @p185 :rule trans :premises (@p184 @p182)) % 16.49/16.84 (step @p186 :rule refl :args (@t59)) % 16.49/16.84 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t60)) % 16.49/16.84 (step @p188 :rule cong :premises (@p187) :args (@t62)) % 16.49/16.84 (step @p189 :rule trans :premises (@p188 @p173)) % 16.49/16.84 (step @p190 :rule bool-double-not-elim :args (@t62)) % 16.49/16.84 (step @p191 :rule trans :premises (@p190 @p189)) % 16.49/16.84 (step @p192 :rule eq_resolve :premises (@p4 @p191)) % 16.49/16.84 (step @p193 :rule alpha_equiv :args (@t177 (@list @t2 @t173 @t13) (@list @t53 @t179 @t54))) % 16.49/16.84 (step @p194 :rule equiv_elim1 :premises (@p193)) % 16.49/16.84 (step @p195 :rule chain_m_resolution :premises (@p194 @p192) :args (@t191 @t192 (@list (forall @t61 (or (not @t59) (not @t183)))))) % 16.49/16.84 (step @p196 :rule refl :args (@t193)) % 16.49/16.84 (step @p197 :rule bool-double-not-elim :args (@t177)) % 16.49/16.84 (step @p198 :rule nary_cong :premises (@p197 @p196) :args ((or (not @t191) @t193))) % 16.49/16.84 (step @p199 :rule cong :premises (@p145) :args (@t194)) % 16.49/16.84 (step @p200 :rule cong :premises (@p199) :args (@t195)) % 16.49/16.84 (step @p201 :rule exists-elim :args ((= (exists @t11 @t162) @t195))) % 16.49/16.84 (step @p202 :rule trans :premises (@p201 @p200)) % 16.49/16.84 (step @p203 :rule cong :premises (@p163) :args (@t12)) % 16.49/16.84 (step @p204 :rule trans :premises (@p203 @p202)) % 16.49/16.84 (step @p205 :rule bool-and-de-morgan :args (@t16 @t176 true)) % 16.49/16.84 (step @p206 :rule cong :premises (@p205) :args (@t197)) % 16.49/16.84 (step @p207 :rule cong :premises (@p206) :args (@t198)) % 16.49/16.84 (step @p208 :rule exists-elim :args ((= (exists @t18 @t196) @t198))) % 16.49/16.84 (step @p209 :rule trans :premises (@p208 @p207)) % 16.49/16.84 (step @p210 :rule quant-merge-prenex :args ((= (forall @t7 @t200) @t176))) % 16.49/16.84 (step @p211 :rule alpha_equiv :args (@t201 (@list @t173) @t167)) % 16.49/16.84 (step @p212 :rule nary_cong :premises (@p63 @p211) :args (@t202)) % 16.49/16.84 (step @p213 :rule quant-miniscope-or :args ((= @t200 @t202))) % 16.49/16.84 (step @p214 :rule trans :premises (@p213 @p212)) % 16.49/16.84 (step @p215 :rule symm :premises (@p214)) % 16.49/16.84 (step @p216 :rule cong :premises (@p215) :args ((forall @t7 (or @t117 @t14)))) % 16.49/16.84 (step @p217 :rule trans :premises (@p216 @p210)) % 16.49/16.84 (step @p218 :rule bool-impl-elim :args (@t6 @t14)) % 16.49/16.84 (step @p219 :rule cong :premises (@p218) :args (@t15)) % 16.49/16.84 (step @p220 :rule trans :premises (@p219 @p217)) % 16.49/16.84 (step @p221 :rule refl :args (@t16)) % 16.49/16.84 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t17)) % 16.49/16.84 (step @p223 :rule cong :premises (@p222) :args (@t19)) % 16.49/16.84 (step @p224 :rule trans :premises (@p223 @p209)) % 16.49/16.84 (step @p225 :rule cong :premises (@p224 @p204) :args (@t20)) % 16.49/16.84 (step @p226 :rule eq_resolve :premises (@p1 @p225)) % 16.49/16.84 (step @p227 :rule implies_elim :premises (@p226)) % 16.49/16.84 (step @p228 :rule eq_resolve :premises (@p227 @p198)) % 16.49/16.84 (step @p229 :rule chain_m_resolution :premises (@p228 @p195) :args (@t193 @t192 (@list @t177))) % 16.49/16.84 (step @p230 :rule skolemize :premises (@p229)) % 16.49/16.84 (step @p231 :rule bool-double-not-elim :args (@t203)) % 16.49/16.84 (step @p232 :rule refl :args (@t207)) % 16.49/16.84 (step @p233 :rule nary_cong :premises (@p232 @p231) :args ((or @t207 (not @t204)))) % 16.49/16.84 (step @p234 :rule cnf_or_neg :args (@t207 1)) % 16.49/16.84 (step @p235 :rule eq_resolve :premises (@p234 @p233)) % 16.49/16.84 (step @p236 :rule reordering :premises (@p235) :args ((or @t203 @t207))) % 16.49/16.84 (step @p237 :rule chain_m_resolution :premises (@p236 @p230) :args (@t203 @t192 @t208)) % 16.49/16.84 (step @p238 :rule bool-double-not-elim :args (@t205)) % 16.49/16.84 (step @p239 :rule nary_cong :premises (@p232 @p238) :args ((or @t207 (not @t206)))) % 16.49/16.84 (step @p240 :rule cnf_or_neg :args (@t207 0)) % 16.49/16.84 (step @p241 :rule eq_resolve :premises (@p240 @p239)) % 16.49/16.84 (step @p242 :rule reordering :premises (@p241) :args ((or @t205 @t207))) % 16.49/16.84 (step @p243 :rule chain_m_resolution :premises (@p242 @p230) :args (@t205 @t192 @t208)) % 16.49/16.84 (step @p244 :rule cnf_or_pos :args (@t217)) % 16.49/16.84 (step @p245 :rule reordering :premises (@p244) :args ((or @t206 @t204 @t216 (not @t217)))) % 16.49/16.84 (step @p246 :rule chain_m_resolution :premises (@p245 @p243 @p237 @p168) :args (@t216 @t218 (@list @t205 @t203 @t217))) % 16.49/16.84 (step @p247 :rule cnf_and_pos :args (@t216 1)) % 16.49/16.84 (step @p248 :rule reordering :premises (@p247) :args ((or @t209 (not @t216)))) % 16.49/16.84 (step @p249 :rule chain_m_resolution :premises (@p248 @p246) :args (@t209 @t219 (@list @t216))) % 16.49/16.84 (step @p250 :rule refl :args (@t220)) % 16.49/16.84 (step @p251 :rule bool-double-not-elim :args (@t170)) % 16.49/16.84 (step @p252 :rule nary_cong :premises (@p251 @p250) :args ((or (not @t221) @t220))) % 16.49/16.84 (assume-push @p403 @t221) % 16.49/16.84 (step @p254 :rule skolemize :premises (@p403)) % 16.49/16.84 (step-pop @p404 :rule scope :premises (@p254)) % 16.49/16.84 (step @p255 :rule process_scope :premises (@p404) :args (@t220)) % 16.49/16.84 (step @p257 :rule implies_elim :premises (@p255)) % 16.49/16.84 (step @p258 :rule eq_resolve :premises (@p257 @p252)) % 16.49/16.84 (step @p259 :rule chain_m_resolution :premises (@p258 @p249) :args (@t170 @t219 (@list @t209))) % 16.49/16.84 (step @p260 :rule instantiate :premises (@p167) :args ((@list @t142 @t224 @t223 @t142 @t178))) % 16.49/16.84 (step @p261 :rule cnf_or_pos :args (@t229)) % 16.49/16.84 (step @p262 :rule reordering :premises (@p261) :args ((or @t206 @t204 @t228 (not @t229)))) % 16.49/16.84 (step @p263 :rule chain_m_resolution :premises (@p262 @p243 @p237 @p260) :args (@t228 @t218 (@list @t205 @t203 @t229))) % 16.49/16.84 (step @p264 :rule cnf_and_pos :args (@t228 0)) % 16.49/16.84 (step @p265 :rule reordering :premises (@p264) :args ((or @t227 (not @t228)))) % 16.49/16.84 (step @p266 :rule chain_m_resolution :premises (@p265 @p263) :args (@t227 @t219 (@list @t228))) % 16.49/16.84 (step @p267 :rule refl :args (@t230)) % 16.49/16.84 (step @p268 :rule bool-double-not-elim :args (@t222)) % 16.49/16.84 (step @p269 :rule nary_cong :premises (@p268 @p267) :args ((or (not @t231) @t230))) % 16.49/16.84 (assume-push @p405 @t231) % 16.49/16.84 (step @p271 :rule skolemize :premises (@p405)) % 16.49/16.84 (step-pop @p406 :rule scope :premises (@p271)) % 16.49/16.84 (step @p272 :rule process_scope :premises (@p406) :args (@t230)) % 16.49/16.84 (step @p274 :rule implies_elim :premises (@p272)) % 16.49/16.84 (step @p275 :rule eq_resolve :premises (@p274 @p269)) % 16.49/16.84 (step @p276 :rule chain_m_resolution :premises (@p275 @p266) :args (@t222 @t219 (@list @t227))) % 16.49/16.84 (step @p277 :rule cnf_or_pos :args (@t236)) % 16.49/16.84 (step @p278 :rule reordering :premises (@p277) :args ((or @t206 @t231 @t221 @t235 (not @t236)))) % 16.49/16.84 (step @p279 :rule chain_m_resolution :premises (@p278 @p243 @p276 @p259 @p125) :args (@t235 (@list false false false false) (@list @t205 @t222 @t170 @t236))) % 16.49/16.84 (step @p280 :rule refl :args (@t248)) % 16.49/16.84 (step @p281 :rule bool-double-not-elim :args (@t234)) % 16.49/16.84 (step @p282 :rule nary_cong :premises (@p281 @p280) :args ((or (not @t235) @t248))) % 16.49/16.84 (assume-push @p407 @t235) % 16.49/16.84 (step @p284 :rule skolemize :premises (@p407)) % 16.49/16.84 (step-pop @p408 :rule scope :premises (@p284)) % 16.49/16.84 (step @p285 :rule process_scope :premises (@p408) :args (@t248)) % 16.49/16.84 (step @p287 :rule implies_elim :premises (@p285)) % 16.49/16.84 (step @p288 :rule eq_resolve :premises (@p287 @p282)) % 16.49/16.84 (step @p289 :rule chain_m_resolution :premises (@p288 @p279) :args (@t248 @t192 (@list @t234))) % 16.49/16.84 (step @p290 :rule bool-double-not-elim :args (@t245)) % 16.49/16.84 (step @p291 :rule refl :args (@t247)) % 16.49/16.84 (step @p292 :rule nary_cong :premises (@p291 @p290) :args ((or @t247 (not @t246)))) % 16.49/16.84 (step @p293 :rule cnf_or_neg :args (@t247 0)) % 16.49/16.84 (step @p294 :rule eq_resolve :premises (@p293 @p292)) % 16.49/16.84 (step @p295 :rule reordering :premises (@p294) :args ((or @t245 @t247))) % 16.49/16.84 (step @p296 :rule chain_m_resolution :premises (@p295 @p289) :args (@t245 @t192 @t249)) % 16.49/16.84 (step @p297 :rule cnf_or_neg :args (@t247 1)) % 16.49/16.84 (step @p298 :rule chain_m_resolution :premises (@p297 @p289) :args ((not @t244) @t192 @t249)) % 16.49/16.84 (step @p299 :rule instantiate :premises (@p167) :args ((@list @t142 @t142 @t178 @t142 @t178))) % 16.49/16.84 (step @p300 :rule cnf_or_pos :args (@t251)) % 16.49/16.84 (step @p301 :rule reordering :premises (@p300) :args ((or @t206 @t204 @t250 (not @t251)))) % 16.49/16.84 (step @p302 :rule chain_m_resolution :premises (@p301 @p243 @p237 @p299) :args (@t250 @t218 (@list @t205 @t203 @t251))) % 16.49/16.84 (step @p303 :rule cnf_and_pos :args (@t250 0)) % 16.49/16.84 (step @p304 :rule reordering :premises (@p303) :args ((or @t215 @t252))) % 16.49/16.84 (step @p305 :rule chain_m_resolution :premises (@p304 @p302) :args (@t215 @t219 @t253)) % 16.49/16.84 (step @p306 :rule cnf_and_pos :args (@t250 1)) % 16.49/16.84 (step @p307 :rule reordering :premises (@p306) :args ((or @t226 @t252))) % 16.49/16.84 (step @p308 :rule chain_m_resolution :premises (@p307 @p302) :args (@t226 @t219 @t253)) % 16.49/16.84 (step @p309 :rule cnf_or_neg :args (@t247 2)) % 16.49/16.84 (step @p310 :rule chain_m_resolution :premises (@p309 @p289) :args ((not @t241) @t192 @t249)) % 16.49/16.84 (step @p311 :rule cnf_and_pos :args (@t255 0)) % 16.49/16.84 (step @p312 :rule reordering :premises (@p311) :args ((or @t254 (not @t255)))) % 16.49/16.84 (step @p313 :rule cnf_and_pos :args (@t256 0)) % 16.49/16.84 (step @p314 :rule reordering :premises (@p313) :args ((or @t254 (not @t256)))) % 16.49/16.84 (assume-push @p409 @t170) % 16.49/16.84 (step @p316 :rule instantiate :premises (@p409) :args (@t257)) % 16.49/16.84 (step-pop @p410 :rule scope :premises (@p316)) % 16.49/16.84 (step @p317 :rule process_scope :premises (@p410) :args (@t259)) % 16.49/16.84 (step @p319 :rule implies_elim :premises (@p317)) % 16.49/16.84 (step @p320 :rule chain_m_resolution :premises (@p319 @p259) :args (@t259 @t219 @t260)) % 16.49/16.84 (step @p321 :rule cnf_or_pos :args (@t259)) % 16.49/16.84 (step @p322 :rule reordering :premises (@p321) :args ((or @t206 @t258 @t255 (not @t259)))) % 16.49/16.84 (assume-push @p411 @t222) % 16.49/16.84 (step @p324 :rule instantiate :premises (@p411) :args (@t257)) % 16.49/16.84 (step-pop @p412 :rule scope :premises (@p324)) % 16.49/16.84 (step @p325 :rule process_scope :premises (@p412) :args (@t262)) % 16.49/16.84 (step @p327 :rule implies_elim :premises (@p325)) % 16.49/16.84 (step @p328 :rule chain_m_resolution :premises (@p327 @p276) :args (@t262 @t219 @t263)) % 16.49/16.84 (step @p329 :rule cnf_or_pos :args (@t262)) % 16.49/16.84 (step @p330 :rule reordering :premises (@p329) :args ((or @t206 @t261 @t256 (not @t262)))) % 16.49/16.84 (step @p331 :rule chain_m_resolution :premises (@p330 @p328 @p243 @p322 @p320 @p243 @p314 @p312) :args (@t254 (@list false false false false false true true) (@list @t262 @t205 @t258 @t259 @t205 @t256 @t255))) % 16.49/16.84 (step @p332 :rule cnf_or_pos :args (@t267)) % 16.49/16.84 (step @p333 :rule reordering :premises (@p332) :args ((or @t206 @t266 @t265 @t268))) % 16.49/16.84 (step @p334 :rule cnf_or_pos :args (@t270)) % 16.49/16.84 (step @p335 :rule reordering :premises (@p334) :args ((or @t206 @t266 @t269 @t271))) % 16.49/16.84 (step @p336 :rule cnf_and_pos :args (@t265 0)) % 16.49/16.84 (step @p337 :rule reordering :premises (@p336) :args ((or @t264 (not @t265)))) % 16.49/16.84 (step @p338 :rule chain_m_resolution :premises (@p337 @p335 @p243 @p333 @p243) :args ((or @t266 @t268 @t271) (@list true false false false) (@list @t264 @t205 @t265 @t205))) % 16.49/16.84 (assume-push @p413 @t242) % 16.49/16.84 (step @p340 :rule instantiate :premises (@p413) :args (@t143)) % 16.49/16.84 (step-pop @p414 :rule scope :premises (@p340)) % 16.49/16.84 (step @p341 :rule process_scope :premises (@p414) :args (@t270)) % 16.49/16.84 (step @p343 :rule implies_elim :premises (@p341)) % 16.49/16.84 (assume-push @p415 @t222) % 16.49/16.84 (step @p345 :rule instantiate :premises (@p415) :args (@t272)) % 16.49/16.84 (step-pop @p416 :rule scope :premises (@p345)) % 16.49/16.84 (step @p346 :rule process_scope :premises (@p416) :args (@t275)) % 16.49/16.84 (step @p348 :rule implies_elim :premises (@p346)) % 16.49/16.84 (step @p349 :rule chain_m_resolution :premises (@p348 @p276) :args (@t275 @t219 @t263)) % 16.49/16.84 (step @p350 :rule cnf_or_pos :args (@t275)) % 16.49/16.84 (step @p351 :rule reordering :premises (@p350) :args ((or @t246 @t269 @t274 (not @t275)))) % 16.49/16.84 (step @p352 :rule bool-double-not-elim :args (@t242)) % 16.49/16.84 (step @p353 :rule refl :args (@t276)) % 16.49/16.84 (step @p354 :rule refl :args (@t244)) % 16.49/16.84 (step @p355 :rule nary_cong :premises (@p354 @p353 @p352) :args ((or @t244 @t276 (not @t243)))) % 16.49/16.84 (step @p356 :rule cnf_and_neg :args (@t244)) % 16.49/16.84 (step @p357 :rule eq_resolve :premises (@p356 @p355)) % 16.49/16.84 (step @p358 :rule reordering :premises (@p357) :args ((or @t276 @t242 @t244))) % 16.49/16.84 (step @p359 :rule cnf_and_pos :args (@t274 1)) % 16.49/16.84 (step @p360 :rule reordering :premises (@p359) :args ((or @t210 (not @t274)))) % 16.49/16.84 (step @p361 :rule chain_m_resolution :premises (@p360 @p358 @p298 @p351 @p349 @p296 @p343 @p337 @p338 @p331 @p333 @p331 @p243) :args (@t268 (@list true true false false false true false true false false false false) (@list @t210 @t244 @t274 @t275 @t245 @t242 @t264 @t270 @t254 @t265 @t254 @t205))) % 16.49/16.84 (assume-push @p417 @t239) % 16.49/16.84 (step @p363 :rule instantiate :premises (@p417) :args (@t143)) % 16.49/16.84 (step-pop @p418 :rule scope :premises (@p363)) % 16.49/16.84 (step @p364 :rule process_scope :premises (@p418) :args (@t267)) % 16.49/16.84 (step @p366 :rule implies_elim :premises (@p364)) % 16.49/16.84 (step @p367 :rule chain_m_resolution :premises (@p366 @p361) :args (@t240 @t192 (@list @t267))) % 16.49/16.84 (step @p368 :rule bool-double-not-elim :args (@t239)) % 16.49/16.84 (step @p369 :rule refl :args (@t277)) % 16.49/16.84 (step @p370 :rule refl :args (@t241)) % 16.49/16.84 (step @p371 :rule nary_cong :premises (@p370 @p369 @p368) :args ((or @t241 @t277 (not @t240)))) % 16.49/16.84 (step @p372 :rule cnf_and_neg :args (@t241)) % 16.49/16.84 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 16.49/16.84 (step @p374 :rule reordering :premises (@p373) :args ((or @t277 @t239 @t241))) % 16.49/16.84 (step @p375 :rule chain_m_resolution :premises (@p374 @p367 @p310) :args (@t277 (@list true true) (@list @t239 @t241))) % 16.49/16.84 (step @p376 :rule cnf_and_pos :args (@t225 1)) % 16.49/16.84 (step @p377 :rule reordering :premises (@p376) :args ((or @t169 @t278))) % 16.49/16.84 (step @p378 :rule chain_m_resolution :premises (@p377 @p375) :args (@t278 @t192 @t279)) % 16.49/16.84 (step @p379 :rule cnf_or_pos :args (@t226)) % 16.49/16.84 (step @p380 :rule reordering :premises (@p379) :args ((or @t206 @t213 @t225 (not @t226)))) % 16.49/16.84 (step @p381 :rule chain_m_resolution :premises (@p380 @p243 @p378 @p308) :args (@t213 (@list false true false) (@list @t205 @t225 @t226))) % 16.49/16.84 (step @p382 :rule cnf_or_pos :args (@t215)) % 16.49/16.84 (step @p383 :rule reordering :premises (@p382) :args ((or @t206 @t214 @t212 (not @t215)))) % 16.49/16.84 (step @p384 :rule chain_m_resolution :premises (@p383 @p243 @p381 @p305) :args (@t212 @t218 (@list @t205 @t213 @t215))) % 16.49/16.84 (step @p385 :rule cnf_and_pos :args (@t212 1)) % 16.49/16.84 (step @p386 :rule reordering :premises (@p385) :args ((or @t210 (not @t212)))) % 16.49/16.84 (step @p387 :rule chain_m_resolution :premises (@p386 @p384) :args (@t210 @t219 (@list @t212))) % 16.49/16.84 (step @p388 :rule chain_m_resolution :premises (@p358 @p387 @p298) :args (@t242 (@list false true) (@list @t210 @t244))) % 16.49/16.84 (step @p389 :rule chain_m_resolution :premises (@p343 @p388) :args (@t270 @t219 (@list @t242))) % 16.49/16.84 (step @p390 :rule chain_m_resolution :premises (@p335 @p243 @p331 @p389) :args (@t269 @t218 (@list @t205 @t254 @t270))) % 16.49/16.84 (step @p391 :rule cnf_and_pos :args (@t280 1)) % 16.49/16.84 (step @p392 :rule reordering :premises (@p391) :args ((or @t169 @t281))) % 16.49/16.84 (step @p393 :rule chain_m_resolution :premises (@p392 @p375) :args (@t281 @t192 @t279)) % 16.49/16.84 (assume-push @p419 @t170) % 16.49/16.84 (step @p395 :rule instantiate :premises (@p419) :args (@t272)) % 16.49/16.84 (step-pop @p420 :rule scope :premises (@p395)) % 16.49/16.84 (step @p396 :rule process_scope :premises (@p420) :args (@t282)) % 16.49/16.84 (step @p398 :rule implies_elim :premises (@p396)) % 16.49/16.84 (step @p399 :rule chain_m_resolution :premises (@p398 @p259) :args (@t282 @t219 @t260)) % 16.49/16.84 (step @p400 :rule cnf_or_pos :args (@t282)) % 16.49/16.84 (step @p401 :rule reordering :premises (@p400) :args ((or @t246 @t264 @t280 (not @t282)))) % 16.49/16.84 (step @p402 false :rule chain_m_resolution :premises (@p401 @p399 @p393 @p390 @p296) :args (false (@list false true true false) (@list @t282 @t280 @t264 @t245))) % 16.49/16.84 ) % 16.49/16.84 % SZS output end Proof % 16.49/16.84 % cvc5 exiting %------------------------------------------------------------------------------