%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV156^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 08:55:32 AM UTC 2026 % Result : Theorem 41.10s 41.38s % Output : Proof 41.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV156^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 18:16:18 EDT 2026 % 0.07/0.25 % CPUTime : % 0.17/0.33 %----Proving TH0 % 41.10/41.38 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 41.10/41.38 % SZS status Theorem % 41.10/41.38 % SZS output start Proof % 41.10/41.38 ( % 41.10/41.38 (declare-sort tptp.a 0) % 41.10/41.38 (define @t1 () (@var "Xz" tptp.a)) % 41.10/41.38 (define @t2 () (@var "Xx0" tptp.a)) % 41.10/41.38 (define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool))) % 41.10/41.38 (define @t4 () (_ @t3 @t2)) % 41.10/41.38 (define @t5 () (_ @t4 @t1)) % 41.10/41.38 (define @t6 () (@var "Xz0" tptp.a)) % 41.10/41.38 (define @t7 () (@var "Xx1" tptp.a)) % 41.10/41.38 (define @t8 () (_ @t3 @t7)) % 41.10/41.38 (define @t9 () (_ @t8 @t6)) % 41.10/41.38 (define @t10 () (@var "Xy1" tptp.a)) % 41.10/41.38 (define @t11 () (_ @t3 @t10)) % 41.10/41.38 (define @t12 () (_ @t11 @t6)) % 41.10/41.38 (define @t13 () (_ @t8 @t10)) % 41.10/41.38 (define @t14 () (and @t13 @t12)) % 41.10/41.38 (define @t15 () (@list @t7 @t10 @t6)) % 41.10/41.38 (define @t16 () (forall @t15 (=> @t14 @t9))) % 41.10/41.38 (define @t17 () (@var "S" (-> tptp.a tptp.a Bool))) % 41.10/41.38 (define @t18 () (_ (_ @t17 @t7) @t10)) % 41.10/41.38 (define @t19 () (@var "R" (-> tptp.a tptp.a Bool))) % 41.10/41.38 (define @t20 () (_ (_ @t19 @t7) @t10)) % 41.10/41.38 (define @t21 () (or @t20 @t18)) % 41.10/41.38 (define @t22 () (@list @t7 @t10)) % 41.10/41.38 (define @t23 () (forall @t22 (=> @t21 @t13))) % 41.10/41.38 (define @t24 () (and @t23 @t16)) % 41.10/41.38 (define @t25 () (=> @t24 @t5)) % 41.10/41.38 (define @t26 () (@list @t3)) % 41.10/41.38 (define @t27 () (forall @t26 @t25)) % 41.10/41.38 (define @t28 () (@var "Xy0" tptp.a)) % 41.10/41.38 (define @t29 () (_ (_ @t3 @t28) @t1)) % 41.10/41.38 (define @t30 () (=> @t24 @t29)) % 41.10/41.38 (define @t31 () (forall @t26 @t30)) % 41.10/41.38 (define @t32 () (_ @t4 @t28)) % 41.10/41.38 (define @t33 () (=> @t24 @t32)) % 41.10/41.38 (define @t34 () (forall @t26 @t33)) % 41.10/41.38 (define @t35 () (and @t34 @t31)) % 41.10/41.38 (define @t36 () (=> @t35 @t27)) % 41.10/41.38 (define @t37 () (@list @t2 @t28 @t1)) % 41.10/41.38 (define @t38 () (forall @t37 @t36)) % 41.10/41.38 (define @t39 () (_ @t8 @t1)) % 41.10/41.38 (define @t40 () (_ @t11 @t1)) % 41.10/41.38 (define @t41 () (and @t13 @t40)) % 41.10/41.38 (define @t42 () (@list @t7 @t10 @t1)) % 41.10/41.38 (define @t43 () (forall @t42 (=> @t41 @t39))) % 41.10/41.38 (define @t44 () (and @t23 @t43)) % 41.10/41.38 (define @t45 () (=> @t44 @t32)) % 41.10/41.38 (define @t46 () (forall @t26 @t45)) % 41.10/41.38 (define @t47 () (forall @t22 (=> @t18 @t13))) % 41.10/41.38 (define @t48 () (and @t47 @t43)) % 41.10/41.38 (define @t49 () (=> @t48 @t32)) % 41.10/41.38 (define @t50 () (forall @t26 @t49)) % 41.10/41.38 (define @t51 () (forall @t22 (=> @t20 @t13))) % 41.10/41.38 (define @t52 () (and @t51 @t43)) % 41.10/41.38 (define @t53 () (=> @t52 @t32)) % 41.10/41.38 (define @t54 () (forall @t26 @t53)) % 41.10/41.38 (define @t55 () (or @t54 @t50)) % 41.10/41.38 (define @t56 () (=> @t55 @t46)) % 41.10/41.38 (define @t57 () (@list @t2 @t28)) % 41.10/41.38 (define @t58 () (forall @t57 @t56)) % 41.10/41.38 (define @t59 () (@var "Xy" tptp.a)) % 41.10/41.38 (define @t60 () (@var "Xx" tptp.a)) % 41.10/41.38 (define @t61 () (_ (_ @t3 @t60) @t59)) % 41.10/41.38 (define @t62 () (and @t32 @t29)) % 41.10/41.38 (define @t63 () (forall @t37 (=> @t62 @t5))) % 41.10/41.38 (define @t64 () (_ (_ @t17 @t2) @t28)) % 41.10/41.38 (define @t65 () (_ (_ @t19 @t2) @t28)) % 41.10/41.38 (define @t66 () (or @t65 @t64)) % 41.10/41.38 (define @t67 () (forall @t57 (=> @t66 @t32))) % 41.10/41.38 (define @t68 () (and @t67 @t63)) % 41.10/41.38 (define @t69 () (=> @t68 @t61)) % 41.10/41.38 (define @t70 () (forall @t26 @t69)) % 41.10/41.38 (define @t71 () (not @t70)) % 41.10/41.38 (define @t72 () (and @t71 @t58 @t38)) % 41.10/41.38 (define @t73 () (or @t70 @t72)) % 41.10/41.38 (define @t74 () (@list @t19 @t17 @t60 @t59)) % 41.10/41.38 (define @t75 () (forall @t74 @t73)) % 41.10/41.38 (define @t76 () (not @t75)) % 41.10/41.38 (define @t77 () (@var "BOUND_VARIABLE_7695" (-> tptp.a tptp.a Bool))) % 41.10/41.38 (define @t78 () (_ @t77 @t60 @t59)) % 41.10/41.38 (define @t79 () (_ @t77 @t2 @t28)) % 41.10/41.38 (define @t80 () (not (forall @t37 (or (not @t79) (not (_ @t77 @t28 @t1)) (_ @t77 @t2 @t1))))) % 41.10/41.38 (define @t81 () (_ @t17 @t2 @t28)) % 41.10/41.38 (define @t82 () (_ @t19 @t2 @t28)) % 41.10/41.38 (define @t83 () (and (not @t82) (not @t81))) % 41.10/41.38 (define @t84 () (not (forall @t57 (or @t83 @t79)))) % 41.10/41.38 (define @t85 () (@var "BOUND_VARIABLE_7741" tptp.a)) % 41.10/41.38 (define @t86 () (@var "BOUND_VARIABLE_7737" tptp.a)) % 41.10/41.38 (define @t87 () (@var "BOUND_VARIABLE_7743" (-> tptp.a tptp.a Bool))) % 41.10/41.38 (define @t88 () (_ @t87 @t7 @t10)) % 41.10/41.38 (define @t89 () (_ @t17 @t7 @t10)) % 41.10/41.38 (define @t90 () (not @t89)) % 41.10/41.38 (define @t91 () (_ @t19 @t7 @t10)) % 41.10/41.38 (define @t92 () (not @t91)) % 41.10/41.38 (define @t93 () (and @t92 @t90)) % 41.10/41.38 (define @t94 () (@var "BOUND_VARIABLE_7739" tptp.a)) % 41.10/41.38 (define @t95 () (_ @t3 @t7 @t6)) % 41.10/41.38 (define @t96 () (_ @t3 @t10 @t6)) % 41.10/41.38 (define @t97 () (_ @t3 @t7 @t10)) % 41.10/41.38 (define @t98 () (not @t97)) % 41.10/41.38 (define @t99 () (forall @t15 (or @t98 (not @t96) @t95))) % 41.10/41.38 (define @t100 () (not @t99)) % 41.10/41.38 (define @t101 () (forall @t22 (or @t93 @t97))) % 41.10/41.38 (define @t102 () (not @t101)) % 41.10/41.38 (define @t103 () (or (not (forall @t26 (or @t102 @t100 (_ @t3 @t86 @t94)))) (not (forall @t26 (or @t102 @t100 (_ @t3 @t94 @t85)))) (not (forall @t22 (or @t93 @t88))) (not (forall @t15 (or (not @t88) (not (_ @t87 @t10 @t6)) (_ @t87 @t7 @t6)))) (_ @t87 @t86 @t85))) % 41.10/41.38 (define @t104 () (@var "BOUND_VARIABLE_7712" tptp.a)) % 41.10/41.38 (define @t105 () (@var "BOUND_VARIABLE_7710" tptp.a)) % 41.10/41.38 (define @t106 () (@var "BOUND_VARIABLE_7714" (-> tptp.a tptp.a Bool))) % 41.10/41.38 (define @t107 () (_ @t106 @t7 @t10)) % 41.10/41.38 (define @t108 () (_ @t3 @t105 @t104)) % 41.10/41.38 (define @t109 () (_ @t3 @t7 @t1)) % 41.10/41.38 (define @t110 () (_ @t3 @t10 @t1)) % 41.10/41.38 (define @t111 () (forall @t42 (or @t98 (not @t110) @t109))) % 41.10/41.38 (define @t112 () (not @t111)) % 41.10/41.38 (define @t113 () (forall @t22 (or @t90 @t97))) % 41.10/41.38 (define @t114 () (not @t113)) % 41.10/41.38 (define @t115 () (forall @t22 (or @t92 @t97))) % 41.10/41.38 (define @t116 () (not @t115)) % 41.10/41.38 (define @t117 () (or (and (not (forall @t26 (or @t116 @t112 @t108))) (not (forall @t26 (or @t114 @t112 @t108)))) (not (forall @t22 (or @t93 @t107))) (not (forall @t42 (or (not @t107) (not (_ @t106 @t10 @t1)) (_ @t106 @t7 @t1)))) (_ @t106 @t105 @t104))) % 41.10/41.38 (define @t118 () (_ @t3 @t60 @t59)) % 41.10/41.38 (define @t119 () (_ @t3 @t2 @t1)) % 41.10/41.38 (define @t120 () (_ @t3 @t28 @t1)) % 41.10/41.38 (define @t121 () (_ @t3 @t2 @t28)) % 41.10/41.38 (define @t122 () (forall @t37 (or (not @t121) (not @t120) @t119))) % 41.10/41.38 (define @t123 () (not @t122)) % 41.10/41.38 (define @t124 () (forall @t57 (or @t83 @t121))) % 41.10/41.38 (define @t125 () (not @t124)) % 41.10/41.38 (define @t126 () (forall @t26 (or @t125 @t123 @t118))) % 41.10/41.38 (define @t127 () (not @t126)) % 41.10/41.38 (define @t128 () (and @t127 @t117 @t103)) % 41.10/41.38 (define @t129 () (or @t128 @t84 @t80 @t78)) % 41.10/41.38 (define @t130 () (@list @t19 @t17 @t60 @t59 @t77 @t105 @t104 @t106 @t86 @t94 @t85 @t87)) % 41.10/41.38 (define @t131 () (forall @t130 @t129)) % 41.10/41.38 (define @t132 () (@quantifiers_skolemize @t131 9)) % 41.10/41.38 (define @t133 () (@quantifiers_skolemize @t131 8)) % 41.10/41.38 (define @t134 () (@quantifiers_skolemize @t131 1)) % 41.10/41.38 (define @t135 () (not (_ @t134 @t7 @t10))) % 41.10/41.38 (define @t136 () (@quantifiers_skolemize @t131 0)) % 41.10/41.38 (define @t137 () (not (_ @t136 @t7 @t10))) % 41.10/41.38 (define @t138 () (and @t137 @t135)) % 41.10/41.38 (define @t139 () (not (forall @t22 (or @t138 @t97)))) % 41.10/41.38 (define @t140 () (forall @t26 (or @t139 @t100 (_ @t3 @t133 @t132)))) % 41.10/41.38 (define @t141 () (@quantifiers_skolemize @t131 10)) % 41.10/41.38 (define @t142 () (@quantifiers_skolemize @t131 11)) % 41.10/41.38 (define @t143 () (_ @t142 @t133 @t141)) % 41.10/41.38 (define @t144 () (_ @t142 @t7 @t6)) % 41.10/41.38 (define @t145 () (_ @t142 @t10 @t6)) % 41.10/41.38 (define @t146 () (_ @t142 @t7 @t10)) % 41.10/41.38 (define @t147 () (forall @t15 (or (not @t146) (not @t145) @t144))) % 41.10/41.38 (define @t148 () (not @t147)) % 41.10/41.38 (define @t149 () (forall @t22 (or @t138 @t146))) % 41.10/41.38 (define @t150 () (not @t149)) % 41.10/41.38 (define @t151 () (forall @t26 (or @t139 @t100 (_ @t3 @t132 @t141)))) % 41.10/41.38 (define @t152 () (not @t151)) % 41.10/41.38 (define @t153 () (not @t140)) % 41.10/41.38 (define @t154 () (or @t153 @t152 @t150 @t148 @t143)) % 41.10/41.38 (define @t155 () (_ @t142 @t133 @t132)) % 41.10/41.38 (define @t156 () (@var "BOUND_VARIABLE_144467" tptp.a)) % 41.10/41.38 (define @t157 () (@var "BOUND_VARIABLE_144466" tptp.a)) % 41.10/41.38 (define @t158 () (lambda (@list @t157 @t156) (_ @t142 @t157 @t156))) % 41.10/41.38 (define @t159 () (_ @t158 @t133 @t132)) % 41.10/41.38 (define @t160 () (_ @t158 @t7 @t6)) % 41.10/41.38 (define @t161 () (_ @t158 @t10 @t6)) % 41.10/41.38 (define @t162 () (not @t161)) % 41.10/41.38 (define @t163 () (_ @t158 @t7 @t10)) % 41.10/41.38 (define @t164 () (not @t163)) % 41.10/41.38 (define @t165 () (or @t164 @t162 @t160)) % 41.10/41.38 (define @t166 () (forall @t15 @t165)) % 41.10/41.38 (define @t167 () (not @t166)) % 41.10/41.38 (define @t168 () (or @t138 @t163)) % 41.10/41.38 (define @t169 () (forall @t22 @t168)) % 41.10/41.38 (define @t170 () (not @t169)) % 41.10/41.38 (define @t171 () (or @t170 @t167 @t159)) % 41.10/41.38 (define @t172 () (_ @t142 @t132 @t141)) % 41.10/41.38 (define @t173 () (@var "BOUND_VARIABLE_343883" tptp.a)) % 41.10/41.38 (define @t174 () (@var "BOUND_VARIABLE_343882" tptp.a)) % 41.10/41.38 (define @t175 () (lambda (@list @t174 @t173) (_ @t142 @t174 @t173))) % 41.10/41.38 (define @t176 () (_ @t175 @t132 @t141)) % 41.10/41.38 (define @t177 () (_ @t175 @t7 @t6)) % 41.10/41.38 (define @t178 () (_ @t175 @t10 @t6)) % 41.10/41.38 (define @t179 () (not @t178)) % 41.10/41.38 (define @t180 () (_ @t175 @t7 @t10)) % 41.10/41.38 (define @t181 () (not @t180)) % 41.10/41.38 (define @t182 () (or @t181 @t179 @t177)) % 41.10/41.38 (define @t183 () (forall @t15 @t182)) % 41.10/41.38 (define @t184 () (not @t183)) % 41.10/41.38 (define @t185 () (or @t138 @t180)) % 41.10/41.38 (define @t186 () (forall @t22 @t185)) % 41.10/41.38 (define @t187 () (not @t186)) % 41.10/41.38 (define @t188 () (or @t187 @t184 @t176)) % 41.10/41.38 (define @t189 () (or @t150 @t148 @t155)) % 41.10/41.38 (define @t190 () (or @t150 @t148 @t172)) % 41.10/41.38 (define @t191 () (not @t172)) % 41.10/41.38 (define @t192 () (not @t155)) % 41.10/41.38 (define @t193 () (or @t192 @t191 @t143)) % 41.10/41.38 (define @t194 () (or @t84 @t80 @t78)) % 41.10/41.38 (define @t195 () (or @t194 @t128)) % 41.10/41.38 (define @t196 () (forall @t130 @t195)) % 41.10/41.38 (define @t197 () (forall (@list @t77 @t105 @t104 @t106 @t86 @t94 @t85 @t87) @t195)) % 41.10/41.38 (define @t198 () (forall (@list @t86 @t94 @t85 @t87) @t103)) % 41.10/41.38 (define @t199 () (@var "BOUND_VARIABLE_7672" (-> tptp.a tptp.a Bool))) % 41.10/41.38 (define @t200 () (@list @t105 @t104 @t106 @t86 @t94 @t85 @t87)) % 41.10/41.38 (define @t201 () (forall @t200 @t103)) % 41.10/41.38 (define @t202 () (forall (@list @t105 @t104 @t106) @t117)) % 41.10/41.38 (define @t203 () (@var "BOUND_VARIABLE_7611" (-> tptp.a tptp.a Bool))) % 41.10/41.38 (define @t204 () (forall @t200 @t117)) % 41.10/41.38 (define @t205 () (forall @t200 @t127)) % 41.10/41.38 (define @t206 () (and @t205 @t204 @t201)) % 41.10/41.38 (define @t207 () (forall @t200 @t128)) % 41.10/41.38 (define @t208 () (forall (@list @t77) @t194)) % 41.10/41.38 (define @t209 () (@list @t3)) % 41.10/41.38 (define @t210 () (or @t208 @t207)) % 41.10/41.38 (define @t211 () (_ @t199 @t2 @t1)) % 41.10/41.38 (define @t212 () (_ @t199 @t7 @t10)) % 41.10/41.38 (define @t213 () (not (forall @t15 (or (not @t212) (not (_ @t199 @t10 @t6)) (_ @t199 @t7 @t6))))) % 41.10/41.38 (define @t214 () (not (forall @t22 (or @t93 @t212)))) % 41.10/41.38 (define @t215 () (forall @t26 (or @t102 @t100 @t120))) % 41.10/41.38 (define @t216 () (not @t215)) % 41.10/41.38 (define @t217 () (forall @t26 (or @t102 @t100 @t121))) % 41.10/41.38 (define @t218 () (not @t217)) % 41.10/41.38 (define @t219 () (or @t218 @t216 @t214 @t213 @t211)) % 41.10/41.38 (define @t220 () (@list @t2 @t28 @t1 @t199)) % 41.10/41.38 (define @t221 () (_ @t203 @t2 @t28)) % 41.10/41.38 (define @t222 () (_ @t203 @t7 @t10)) % 41.10/41.38 (define @t223 () (not (forall @t42 (or (not @t222) (not (_ @t203 @t10 @t1)) (_ @t203 @t7 @t1))))) % 41.10/41.38 (define @t224 () (not (forall @t22 (or @t93 @t222)))) % 41.10/41.38 (define @t225 () (forall @t26 (or @t114 @t112 @t121))) % 41.10/41.38 (define @t226 () (forall @t26 (or @t116 @t112 @t121))) % 41.10/41.38 (define @t227 () (and (not @t226) (not @t225))) % 41.10/41.38 (define @t228 () (or @t227 @t224 @t223 @t221)) % 41.10/41.38 (define @t229 () (@list @t2 @t28 @t203)) % 41.10/41.38 (define @t230 () (or @t214 @t213 @t211)) % 41.10/41.38 (define @t231 () (or @t218 @t216 @t230)) % 41.10/41.38 (define @t232 () (forall @t220 @t231)) % 41.10/41.38 (define @t233 () (@list @t199)) % 41.10/41.38 (define @t234 () (forall @t233 @t231)) % 41.10/41.38 (define @t235 () (forall @t233 @t230)) % 41.10/41.38 (define @t236 () (or @t218 @t216 @t235)) % 41.10/41.38 (define @t237 () (forall @t26 (or @t102 @t100 @t119))) % 41.10/41.38 (define @t238 () (or @t218 @t216 @t237)) % 41.10/41.38 (define @t239 () (and @t217 @t215)) % 41.10/41.38 (define @t240 () (or @t102 @t100 @t5)) % 41.10/41.38 (define @t241 () (or @t102 @t100)) % 41.10/41.38 (define @t242 () (and @t101 @t99)) % 41.10/41.38 (define @t243 () (not @t242)) % 41.10/41.38 (define @t244 () (not @t12)) % 41.10/41.38 (define @t245 () (not @t13)) % 41.10/41.38 (define @t246 () (or @t245 @t244 @t9)) % 41.10/41.38 (define @t247 () (not @t18)) % 41.10/41.38 (define @t248 () (not @t20)) % 41.10/41.38 (define @t249 () (and @t248 @t247)) % 41.10/41.38 (define @t250 () (or @t249 @t13)) % 41.10/41.38 (define @t251 () (or @t102 @t100 @t29)) % 41.10/41.38 (define @t252 () (or @t102 @t100 @t32)) % 41.10/41.38 (define @t253 () (or @t224 @t223 @t221)) % 41.10/41.38 (define @t254 () (or @t227 @t253)) % 41.10/41.38 (define @t255 () (forall @t229 @t254)) % 41.10/41.38 (define @t256 () (@list @t203)) % 41.10/41.38 (define @t257 () (forall @t256 @t254)) % 41.10/41.38 (define @t258 () (forall @t256 @t253)) % 41.10/41.38 (define @t259 () (or @t227 @t258)) % 41.10/41.38 (define @t260 () (forall @t26 (or @t102 @t112 @t121))) % 41.10/41.38 (define @t261 () (or @t226 @t225)) % 41.10/41.38 (define @t262 () (or @t102 @t112 @t32)) % 41.10/41.38 (define @t263 () (and @t101 @t111)) % 41.10/41.38 (define @t264 () (not @t40)) % 41.10/41.38 (define @t265 () (or @t245 @t264 @t39)) % 41.10/41.38 (define @t266 () (or @t114 @t112 @t32)) % 41.10/41.38 (define @t267 () (and @t113 @t111)) % 41.10/41.38 (define @t268 () (or @t247 @t13)) % 41.10/41.38 (define @t269 () (or @t116 @t112 @t32)) % 41.10/41.38 (define @t270 () (and @t115 @t111)) % 41.10/41.38 (define @t271 () (or @t248 @t13)) % 41.10/41.38 (define @t272 () (or @t125 @t123 @t61)) % 41.10/41.38 (define @t273 () (and @t124 @t122)) % 41.10/41.38 (define @t274 () (not @t29)) % 41.10/41.38 (define @t275 () (not @t32)) % 41.10/41.38 (define @t276 () (or @t275 @t274 @t5)) % 41.10/41.38 (define @t277 () (not @t64)) % 41.10/41.38 (define @t278 () (not @t65)) % 41.10/41.38 (define @t279 () (and @t278 @t277)) % 41.10/41.38 (define @t280 () (or @t279 @t32)) % 41.10/41.38 (define @t281 () (@quantifiers_skolemize @t131 3)) % 41.10/41.38 (define @t282 () (@quantifiers_skolemize @t131 2)) % 41.10/41.38 (define @t283 () (@quantifiers_skolemize @t131 4)) % 41.10/41.38 (define @t284 () (_ @t283 @t282 @t281)) % 41.10/41.38 (define @t285 () (_ @t283 @t2 @t28)) % 41.10/41.38 (define @t286 () (forall @t37 (or (not @t285) (not (_ @t283 @t28 @t1)) (_ @t283 @t2 @t1)))) % 41.10/41.38 (define @t287 () (not @t286)) % 41.10/41.38 (define @t288 () (and (not (_ @t136 @t2 @t28)) (not (_ @t134 @t2 @t28)))) % 41.10/41.38 (define @t289 () (forall @t57 (or @t288 @t285))) % 41.10/41.38 (define @t290 () (not @t289)) % 41.10/41.38 (define @t291 () (@quantifiers_skolemize @t131 6)) % 41.10/41.38 (define @t292 () (@quantifiers_skolemize @t131 5)) % 41.10/41.38 (define @t293 () (@quantifiers_skolemize @t131 7)) % 41.10/41.38 (define @t294 () (_ @t293 @t292 @t291)) % 41.10/41.38 (define @t295 () (_ @t293 @t7 @t10)) % 41.10/41.38 (define @t296 () (forall @t42 (or (not @t295) (not (_ @t293 @t10 @t1)) (_ @t293 @t7 @t1)))) % 41.10/41.38 (define @t297 () (not @t296)) % 41.10/41.38 (define @t298 () (forall @t22 (or @t138 @t295))) % 41.10/41.38 (define @t299 () (not @t298)) % 41.10/41.38 (define @t300 () (_ @t3 @t292 @t291)) % 41.10/41.38 (define @t301 () (forall @t26 (or (not (forall @t22 (or @t135 @t97))) @t112 @t300))) % 41.10/41.38 (define @t302 () (not @t301)) % 41.10/41.38 (define @t303 () (forall @t26 (or (not (forall @t22 (or @t137 @t97))) @t112 @t300))) % 41.10/41.38 (define @t304 () (not @t303)) % 41.10/41.38 (define @t305 () (and @t304 @t302)) % 41.10/41.38 (define @t306 () (or @t305 @t299 @t297 @t294)) % 41.10/41.38 (define @t307 () (forall @t26 (or (not (forall @t57 (or @t288 @t121))) @t123 (_ @t3 @t282 @t281)))) % 41.10/41.38 (define @t308 () (not @t307)) % 41.10/41.38 (define @t309 () (and @t308 @t306 @t154)) % 41.10/41.38 (define @t310 () (or @t309 @t290 @t287 @t284)) % 41.10/41.38 (define @t311 () (@list true)) % 41.10/41.38 (define @t312 () (@list @t310)) % 41.10/41.38 (define @t313 () (or @t290 @t287 @t284)) % 41.10/41.38 (define @t314 () (not @t313)) % 41.10/41.38 (define @t315 () (not @t154)) % 41.10/41.38 (define @t316 () (not @t306)) % 41.10/41.38 (define @t317 () (@list true true false)) % 41.10/41.38 (define @t318 () (@list @t306)) % 41.10/41.38 (define @t319 () (forall @t22 (or @t137 @t295))) % 41.10/41.38 (define @t320 () (@quantifiers_skolemize @t319 1)) % 41.10/41.38 (define @t321 () (@quantifiers_skolemize @t319 0)) % 41.10/41.38 (define @t322 () (_ @t293 @t321 @t320)) % 41.10/41.38 (define @t323 () (_ @t136 @t321 @t320)) % 41.10/41.38 (define @t324 () (not @t323)) % 41.10/41.38 (define @t325 () (and @t324 (not (_ @t134 @t321 @t320)))) % 41.10/41.38 (define @t326 () (or @t325 @t322)) % 41.10/41.38 (define @t327 () (@list false)) % 41.10/41.38 (define @t328 () (@list @t298)) % 41.10/41.38 (define @t329 () (or @t324 @t322)) % 41.10/41.38 (define @t330 () (not @t326)) % 41.10/41.38 (define @t331 () (not @t329)) % 41.10/41.38 (define @t332 () (not @t319)) % 41.10/41.38 (define @t333 () (or @t332 @t297 @t294)) % 41.10/41.38 (define @t334 () (not @t333)) % 41.10/41.38 (define @t335 () (@list false true false)) % 41.10/41.38 (define @t336 () (@list @t293)) % 41.10/41.38 (define @t337 () (forall @t22 (or @t135 @t295))) % 41.10/41.38 (define @t338 () (not @t337)) % 41.10/41.38 (define @t339 () (or @t338 @t297 @t294)) % 41.10/41.38 (define @t340 () (@quantifiers_skolemize @t337 1)) % 41.10/41.38 (define @t341 () (@quantifiers_skolemize @t337 0)) % 41.10/41.38 (define @t342 () (_ @t293 @t341 @t340)) % 41.10/41.38 (define @t343 () (_ @t134 @t341 @t340)) % 41.10/41.38 (define @t344 () (not @t343)) % 41.10/41.38 (define @t345 () (or @t344 @t342)) % 41.10/41.38 (define @t346 () (not @t345)) % 41.10/41.38 (define @t347 () (@list @t345)) % 41.10/41.38 (define @t348 () (and (not (_ @t136 @t341 @t340)) @t344)) % 41.10/41.38 (define @t349 () (not @t348)) % 41.10/41.38 (define @t350 () (or @t348 @t342)) % 41.10/41.38 (assume @p1 @t76) % 41.10/41.38 (assume @p2 true) % 41.10/41.38 (step @p3 :rule bool-double-not-elim :args (@t140)) % 41.10/41.38 (step @p4 :rule refl :args (@t154)) % 41.10/41.38 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t154 (not @t153)))) % 41.10/41.38 (step @p6 :rule cnf_or_neg :args (@t154 0)) % 41.10/41.38 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 41.10/41.38 (step @p8 :rule reordering :premises (@p7) :args ((or @t140 @t154))) % 41.10/41.38 (step @p9 :rule bool-double-not-elim :args (@t151)) % 41.10/41.38 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t154 (not @t152)))) % 41.10/41.38 (step @p11 :rule cnf_or_neg :args (@t154 1)) % 41.10/41.38 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 41.10/41.38 (step @p13 :rule reordering :premises (@p12) :args ((or @t151 @t154))) % 41.10/41.38 (step @p14 :rule bool-double-not-elim :args (@t149)) % 41.10/41.38 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t154 (not @t150)))) % 41.10/41.38 (step @p16 :rule cnf_or_neg :args (@t154 2)) % 41.10/41.38 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 41.10/41.38 (step @p18 :rule reordering :premises (@p17) :args ((or @t149 @t154))) % 41.10/41.38 (step @p19 :rule bool-double-not-elim :args (@t147)) % 41.10/41.38 (step @p20 :rule nary_cong :premises (@p4 @p19) :args ((or @t154 (not @t148)))) % 41.10/41.38 (step @p21 :rule cnf_or_neg :args (@t154 3)) % 41.10/41.38 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 41.10/41.38 (step @p23 :rule reordering :premises (@p22) :args ((or @t147 @t154))) % 41.10/41.38 (step @p24 :rule cnf_or_neg :args (@t154 4)) % 41.10/41.38 (step @p25 :rule beta-reduce :args ((= @t159 @t155))) % 41.10/41.38 (step @p26 :rule beta-reduce :args ((= @t160 @t144))) % 41.10/41.38 (step @p27 :rule beta-reduce :args ((= @t161 @t145))) % 41.10/41.38 (step @p28 :rule cong :premises (@p27) :args (@t162)) % 41.10/41.38 (step @p29 :rule beta-reduce :args ((= @t163 @t146))) % 41.10/41.38 (step @p30 :rule cong :premises (@p29) :args (@t164)) % 41.10/41.38 (step @p31 :rule nary_cong :premises (@p30 @p28 @p26) :args (@t165)) % 41.10/41.38 (step @p32 :rule cong :premises (@p31) :args (@t166)) % 41.10/41.38 (step @p33 :rule cong :premises (@p32) :args (@t167)) % 41.10/41.38 (step @p34 :rule refl :args (@t138)) % 41.10/41.38 (step @p35 :rule nary_cong :premises (@p34 @p29) :args (@t168)) % 41.10/41.38 (step @p36 :rule cong :premises (@p35) :args (@t169)) % 41.10/41.38 (step @p37 :rule cong :premises (@p36) :args (@t170)) % 41.10/41.38 (step @p38 :rule nary_cong :premises (@p37 @p33 @p25) :args (@t171)) % 41.10/41.38 (step @p39 :rule refl :args (@t140)) % 41.10/41.38 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t140 @t171))) % 41.10/41.38 (assume-push @p533 @t140) % 41.10/41.38 (step @p42 :rule instantiate :premises (@p533) :args ((@list @t158))) % 41.10/41.38 (step-pop @p534 :rule scope :premises (@p42)) % 41.10/41.38 (step @p43 :rule process_scope :premises (@p534) :args (@t171)) % 41.10/41.38 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 41.10/41.38 (step @p46 :rule implies_elim :premises (@p45)) % 41.10/41.38 (step @p47 :rule beta-reduce :args ((= @t176 @t172))) % 41.10/41.38 (step @p48 :rule beta-reduce :args ((= @t177 @t144))) % 41.10/41.38 (step @p49 :rule beta-reduce :args ((= @t178 @t145))) % 41.10/41.38 (step @p50 :rule cong :premises (@p49) :args (@t179)) % 41.10/41.38 (step @p51 :rule beta-reduce :args ((= @t180 @t146))) % 41.10/41.38 (step @p52 :rule cong :premises (@p51) :args (@t181)) % 41.10/41.38 (step @p53 :rule nary_cong :premises (@p52 @p50 @p48) :args (@t182)) % 41.10/41.38 (step @p54 :rule cong :premises (@p53) :args (@t183)) % 41.10/41.38 (step @p55 :rule cong :premises (@p54) :args (@t184)) % 41.10/41.38 (step @p56 :rule nary_cong :premises (@p34 @p51) :args (@t185)) % 41.10/41.38 (step @p57 :rule cong :premises (@p56) :args (@t186)) % 41.10/41.38 (step @p58 :rule cong :premises (@p57) :args (@t187)) % 41.10/41.38 (step @p59 :rule nary_cong :premises (@p58 @p55 @p47) :args (@t188)) % 41.10/41.38 (step @p60 :rule refl :args (@t151)) % 41.10/41.38 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t151 @t188))) % 41.10/41.38 (assume-push @p535 @t151) % 41.10/41.38 (step @p63 :rule instantiate :premises (@p535) :args ((@list @t175))) % 41.10/41.38 (step-pop @p536 :rule scope :premises (@p63)) % 41.10/41.38 (step @p64 :rule process_scope :premises (@p536) :args (@t188)) % 41.10/41.38 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 41.10/41.38 (step @p67 :rule implies_elim :premises (@p66)) % 41.10/41.38 (step @p68 :rule cnf_or_pos :args (@t189)) % 41.10/41.38 (step @p69 :rule reordering :premises (@p68) :args ((or @t150 @t148 @t155 (not @t189)))) % 41.10/41.38 (step @p70 :rule cnf_or_pos :args (@t190)) % 41.10/41.38 (step @p71 :rule reordering :premises (@p70) :args ((or @t150 @t148 @t172 (not @t190)))) % 41.10/41.38 (step @p72 :rule cnf_or_pos :args (@t193)) % 41.10/41.38 (step @p73 :rule reordering :premises (@p72) :args ((or @t143 @t192 @t191 (not @t193)))) % 41.10/41.38 (assume-push @p537 @t147) % 41.10/41.38 (step @p75 :rule instantiate :premises (@p537) :args ((@list @t133 @t132 @t141))) % 41.10/41.38 (step-pop @p538 :rule scope :premises (@p75)) % 41.10/41.38 (step @p76 :rule process_scope :premises (@p538) :args (@t193)) % 41.10/41.38 (step @p78 :rule implies_elim :premises (@p76)) % 41.10/41.38 (step @p79 :rule chain_m_resolution :premises (@p78 @p73 @p71 @p69 @p67 @p46 @p24 @p23 @p18 @p13 @p8) :args (@t154 (@list true false false false false true false false false false) (@list @t193 @t172 @t155 @t190 @t189 @t143 @t147 @t149 @t151 @t140))) % 41.10/41.38 (step @p80 :rule aci_norm :args ((= @t195 @t129))) % 41.10/41.38 (step @p81 :rule cong :premises (@p80) :args (@t196)) % 41.10/41.38 (step @p82 :rule quant-merge-prenex :args ((= (forall @t74 @t197) @t196))) % 41.10/41.38 (step @p83 :rule alpha_equiv :args (@t198 (@list @t86 @t94 @t85 @t87) (@list @t2 @t28 @t1 @t199))) % 41.10/41.38 (step @p84 :rule quant-unused-vars :args ((= @t201 @t198))) % 41.10/41.38 (step @p85 :rule trans :premises (@p84 @p83)) % 41.10/41.38 (step @p86 :rule alpha_equiv :args (@t202 (@list @t105 @t104 @t106) (@list @t2 @t28 @t203))) % 41.10/41.38 (step @p87 :rule quant-unused-vars :args ((= @t204 @t202))) % 41.10/41.38 (step @p88 :rule trans :premises (@p87 @p86)) % 41.10/41.38 (step @p89 :rule quant-unused-vars :args ((= @t205 @t127))) % 41.10/41.38 (step @p90 :rule nary_cong :premises (@p89 @p88 @p85) :args (@t206)) % 41.10/41.38 (step @p91 :rule quant-miniscope-and :args ((= @t207 @t206))) % 41.10/41.38 (step @p92 :rule trans :premises (@p91 @p90)) % 41.10/41.38 (step @p93 :rule alpha_equiv :args (@t208 (@list @t77) @t209)) % 41.10/41.38 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t210)) % 41.10/41.38 (step @p95 :rule quant-miniscope-or :args ((= @t197 @t210))) % 41.10/41.38 (step @p96 :rule trans :premises (@p95 @p94)) % 41.10/41.38 (step @p97 :rule symm :premises (@p96)) % 41.10/41.38 (step @p98 :rule cong :premises (@p97) :args ((forall @t74 (or @t126 (and @t127 (forall @t229 @t228) (forall @t220 @t219)))))) % 41.10/41.38 (step @p99 :rule trans :premises (@p98 @p82)) % 41.10/41.38 (step @p100 :rule trans :premises (@p99 @p81)) % 41.10/41.38 (step @p101 :rule aci_norm :args ((= @t231 @t219))) % 41.10/41.38 (step @p102 :rule cong :premises (@p101) :args (@t232)) % 41.10/41.38 (step @p103 :rule quant-merge-prenex :args ((= (forall @t37 @t234) @t232))) % 41.10/41.38 (step @p104 :rule alpha_equiv :args (@t235 (@list @t199) @t209)) % 41.10/41.38 (step @p105 :rule refl :args (@t216)) % 41.10/41.38 (step @p106 :rule refl :args (@t218)) % 41.10/41.38 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args (@t236)) % 41.10/41.38 (step @p108 :rule quant-miniscope-or :args ((= @t234 @t236))) % 41.10/41.38 (step @p109 :rule trans :premises (@p108 @p107)) % 41.10/41.38 (step @p110 :rule symm :premises (@p109)) % 41.10/41.38 (step @p111 :rule cong :premises (@p110) :args ((forall @t37 @t238))) % 41.10/41.38 (step @p112 :rule trans :premises (@p111 @p103)) % 41.10/41.38 (step @p113 :rule trans :premises (@p112 @p102)) % 41.10/41.38 (step @p114 :rule aci_norm :args ((= (or (or @t218 @t216) @t237) @t238))) % 41.10/41.38 (step @p115 :rule refl :args (@t237)) % 41.10/41.38 (step @p116 :rule bool-and-de-morgan :args (@t217 @t215 true)) % 41.10/41.38 (step @p117 :rule nary_cong :premises (@p116 @p115) :args ((or (not @t239) @t237))) % 41.10/41.38 (step @p118 :rule trans :premises (@p117 @p114)) % 41.10/41.38 (step @p119 :rule bool-impl-elim :args (@t239 @t237)) % 41.10/41.38 (step @p120 :rule trans :premises (@p119 @p118)) % 41.10/41.38 (step @p121 :rule cong :premises (@p120) :args ((forall @t37 (=> @t239 @t237)))) % 41.10/41.38 (step @p122 :rule trans :premises (@p121 @p113)) % 41.10/41.38 (step @p123 :rule refl :args (@t119)) % 41.10/41.38 (step @p124 :rule refl :args (@t5)) % 41.10/41.38 (step @p125 :rule cong :premises (@p124 @p123) :args ((= @t5 @t119))) % 41.10/41.38 (step @p126 :rule symm :premises (@p125)) % 41.10/41.38 (step @p127 :rule eq_resolve :premises (@p124 @p126)) % 41.10/41.38 (step @p128 :rule refl :args (@t100)) % 41.10/41.38 (step @p129 :rule refl :args (@t102)) % 41.10/41.38 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127) :args (@t240)) % 41.10/41.38 (step @p131 :rule cong :premises (@p130) :args ((forall @t26 @t240))) % 41.10/41.38 (step @p132 :rule aci_norm :args ((= (or @t241 @t5) @t240))) % 41.10/41.38 (step @p133 :rule bool-and-de-morgan :args (@t101 @t99 true)) % 41.10/41.38 (step @p134 :rule nary_cong :premises (@p133 @p124) :args ((or @t243 @t5))) % 41.10/41.38 (step @p135 :rule trans :premises (@p134 @p132)) % 41.10/41.38 (step @p136 :rule bool-impl-elim :args (@t242 @t5)) % 41.10/41.38 (step @p137 :rule trans :premises (@p136 @p135)) % 41.10/41.38 (step @p138 :rule cong :premises (@p137) :args ((forall @t26 (=> @t242 @t5)))) % 41.10/41.38 (step @p139 :rule trans :premises (@p138 @p131)) % 41.10/41.38 (step @p140 :rule refl :args (@t5)) % 41.10/41.38 (step @p141 :rule refl :args (@t95)) % 41.10/41.38 (step @p142 :rule refl :args (@t9)) % 41.10/41.38 (step @p143 :rule cong :premises (@p142 @p141) :args ((= @t9 @t95))) % 41.10/41.38 (step @p144 :rule symm :premises (@p143)) % 41.10/41.38 (step @p145 :rule eq_resolve :premises (@p142 @p144)) % 41.10/41.38 (step @p146 :rule refl :args (@t96)) % 41.10/41.38 (step @p147 :rule refl :args (@t12)) % 41.10/41.38 (step @p148 :rule cong :premises (@p147 @p146) :args ((= @t12 @t96))) % 41.10/41.38 (step @p149 :rule symm :premises (@p148)) % 41.10/41.38 (step @p150 :rule eq_resolve :premises (@p147 @p149)) % 41.10/41.38 (step @p151 :rule cong :premises (@p150) :args (@t244)) % 41.10/41.38 (step @p152 :rule refl :args (@t97)) % 41.10/41.38 (step @p153 :rule refl :args (@t13)) % 41.10/41.38 (step @p154 :rule cong :premises (@p153 @p152) :args ((= @t13 @t97))) % 41.10/41.38 (step @p155 :rule symm :premises (@p154)) % 41.10/41.38 (step @p156 :rule eq_resolve :premises (@p153 @p155)) % 41.10/41.38 (step @p157 :rule cong :premises (@p156) :args (@t245)) % 41.10/41.38 (step @p158 :rule nary_cong :premises (@p157 @p151 @p145) :args (@t246)) % 41.10/41.38 (step @p159 :rule cong :premises (@p158) :args ((forall @t15 @t246))) % 41.10/41.38 (step @p160 :rule aci_norm :args ((= (or (or @t245 @t244) @t9) 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41.10/41.38 (step @p372 :rule eq_resolve :premises (@p369 @p371)) % 41.10/41.38 (step @p373 :rule cong :premises (@p372) :args (@t278)) % 41.10/41.38 (step @p374 :rule nary_cong :premises (@p373 @p367) :args (@t279)) % 41.10/41.38 (step @p375 :rule nary_cong :premises (@p374 @p215) :args (@t280)) % 41.10/41.38 (step @p376 :rule cong :premises (@p375) :args ((forall @t57 @t280))) % 41.10/41.38 (step @p377 :rule bool-or-de-morgan :args (@t65 @t64 false)) % 41.10/41.38 (step @p378 :rule nary_cong :premises (@p377 @p212) :args ((or (not @t66) @t32))) % 41.10/41.38 (step @p379 :rule bool-impl-elim :args (@t66 @t32)) % 41.10/41.38 (step @p380 :rule trans :premises (@p379 @p378)) % 41.10/41.38 (step @p381 :rule cong :premises (@p380) :args (@t67)) % 41.10/41.38 (step @p382 :rule trans :premises (@p381 @p376)) % 41.10/41.38 (step @p383 :rule nary_cong :premises (@p382 @p361) :args (@t68)) % 41.10/41.38 (step @p384 :rule cong :premises (@p383 @p349) :args (@t69)) % 41.10/41.38 (step @p385 :rule cong :premises (@p384) :args (@t70)) % 41.10/41.38 (step @p386 :rule trans :premises (@p385 @p348)) % 41.10/41.38 (step @p387 :rule cong :premises (@p386) :args (@t71)) % 41.10/41.38 (step @p388 :rule nary_cong :premises (@p387 @p331 @p232) :args (@t72)) % 41.10/41.38 (step @p389 :rule nary_cong :premises (@p386 @p388) :args (@t73)) % 41.10/41.38 (step @p390 :rule cong :premises (@p389) :args (@t75)) % 41.10/41.38 (step @p391 :rule trans :premises (@p390 @p100)) % 41.10/41.38 (step @p392 :rule cong :premises (@p391) :args (@t76)) % 41.10/41.38 (step @p393 :rule eq_resolve :premises (@p1 @p392)) % 41.10/41.38 (step @p394 :rule skolemize :premises (@p393)) % 41.10/41.38 (step @p395 :rule cnf_or_neg :args (@t310 0)) % 41.10/41.38 (step @p396 :rule chain_m_resolution :premises (@p395 @p394) :args ((not @t309) @t311 @t312)) % 41.10/41.38 (step @p397 :rule cnf_or_neg :args (@t310 3)) % 41.10/41.38 (step @p398 :rule chain_m_resolution :premises (@p397 @p394) :args ((not @t284) @t311 @t312)) % 41.10/41.38 (step @p399 :rule bool-double-not-elim :args (@t286)) % 41.10/41.38 (step @p400 :rule refl :args (@t310)) % 41.10/41.38 (step @p401 :rule nary_cong :premises (@p400 @p399) :args ((or @t310 (not @t287)))) % 41.10/41.38 (step @p402 :rule cnf_or_neg :args (@t310 2)) % 41.10/41.38 (step @p403 :rule eq_resolve :premises (@p402 @p401)) % 41.10/41.38 (step @p404 :rule reordering :premises (@p403) :args ((or @t286 @t310))) % 41.10/41.38 (step @p405 :rule chain_m_resolution :premises (@p404 @p394) :args (@t286 @t311 @t312)) % 41.10/41.38 (step @p406 :rule bool-double-not-elim :args (@t289)) % 41.10/41.38 (step @p407 :rule nary_cong :premises (@p400 @p406) :args ((or @t310 (not @t290)))) % 41.10/41.38 (step @p408 :rule cnf_or_neg :args (@t310 1)) % 41.10/41.38 (step @p409 :rule eq_resolve :premises (@p408 @p407)) % 41.10/41.38 (step @p410 :rule reordering :premises (@p409) :args ((or @t289 @t310))) % 41.10/41.38 (step @p411 :rule chain_m_resolution :premises (@p410 @p394) :args (@t289 @t311 @t312)) % 41.10/41.38 (step @p412 :rule cnf_or_pos :args (@t313)) % 41.10/41.38 (step @p413 :rule reordering :premises (@p412) :args ((or @t290 @t287 @t284 @t314))) % 41.10/41.38 (step @p414 :rule chain_m_resolution :premises (@p413 @p411 @p405 @p398) :args (@t314 (@list false false true) (@list @t289 @t286 @t284))) % 41.10/41.38 (assume-push @p539 @t307) % 41.10/41.38 (step @p416 :rule instantiate :premises (@p539) :args ((@list @t283))) % 41.10/41.38 (step-pop @p540 :rule scope :premises (@p416)) % 41.10/41.38 (step @p417 :rule process_scope :premises (@p540) :args (@t313)) % 41.10/41.38 (step @p419 :rule implies_elim :premises (@p417)) % 41.10/41.38 (step @p420 :rule chain_m_resolution :premises (@p419 @p414) :args (@t308 @t311 (@list @t313))) % 41.10/41.38 (step @p421 :rule refl :args (@t315)) % 41.10/41.38 (step @p422 :rule refl :args (@t316)) % 41.10/41.38 (step @p423 :rule bool-double-not-elim :args (@t307)) % 41.10/41.38 (step @p424 :rule refl :args (@t309)) % 41.10/41.38 (step @p425 :rule nary_cong :premises (@p424 @p423 @p422 @p421) :args ((or @t309 (not @t308) @t316 @t315))) % 41.10/41.38 (step @p426 :rule cnf_and_neg :args (@t309)) % 41.10/41.38 (step @p427 :rule eq_resolve :premises (@p426 @p425)) % 41.10/41.38 (step @p428 :rule reordering :premises (@p427) :args ((or @t307 @t309 @t316 @t315))) % 41.10/41.38 (step @p429 :rule chain_m_resolution :premises (@p428 @p420 @p396 @p79) :args (@t316 @t317 (@list @t307 @t309 @t154))) % 41.10/41.38 (step @p430 :rule cnf_or_neg :args (@t306 0)) % 41.10/41.38 (step @p431 :rule chain_m_resolution :premises (@p430 @p429) :args ((not @t305) @t311 @t318)) % 41.10/41.38 (step @p432 :rule bool-double-not-elim :args (@t298)) % 41.10/41.38 (step @p433 :rule refl :args (@t306)) % 41.10/41.38 (step @p434 :rule nary_cong :premises (@p433 @p432) :args ((or @t306 (not @t299)))) % 41.10/41.38 (step @p435 :rule cnf_or_neg :args (@t306 1)) % 41.10/41.38 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 41.10/41.38 (step @p437 :rule reordering :premises (@p436) :args ((or @t298 @t306))) % 41.10/41.38 (step @p438 :rule chain_m_resolution :premises (@p437 @p429) :args (@t298 @t311 @t318)) % 41.10/41.38 (assume-push @p541 @t298) % 41.10/41.38 (step @p440 :rule instantiate :premises (@p541) :args ((@list @t321 @t320))) % 41.10/41.38 (step-pop @p542 :rule scope :premises (@p440)) % 41.10/41.38 (step @p441 :rule process_scope :premises (@p542) :args (@t326)) % 41.10/41.38 (step @p443 :rule implies_elim :premises (@p441)) % 41.10/41.38 (step @p444 :rule chain_m_resolution :premises (@p443 @p438) :args (@t326 @t327 @t328)) % 41.10/41.38 (step @p445 :rule bool-double-not-elim :args (@t323)) % 41.10/41.38 (step @p446 :rule refl :args (@t329)) % 41.10/41.38 (step @p447 :rule nary_cong :premises (@p446 @p445) :args ((or @t329 (not @t324)))) % 41.10/41.38 (step @p448 :rule cnf_or_neg :args (@t329 0)) % 41.10/41.38 (step @p449 :rule eq_resolve :premises (@p448 @p447)) % 41.10/41.38 (step @p450 :rule reordering :premises (@p449) :args ((or @t323 @t329))) % 41.10/41.38 (step @p451 :rule cnf_or_neg :args (@t329 1)) % 41.10/41.38 (step @p452 :rule cnf_and_pos :args (@t325 0)) % 41.10/41.38 (step @p453 :rule reordering :premises (@p452) :args ((or @t324 (not @t325)))) % 41.10/41.38 (step @p454 :rule cnf_or_pos :args (@t326)) % 41.10/41.38 (step @p455 :rule reordering :premises (@p454) :args ((or @t322 @t325 @t330))) % 41.10/41.38 (step @p456 :rule chain_m_resolution :premises (@p455 @p453 @p451 @p450) :args ((or @t329 @t330) @t317 (@list @t325 @t322 @t323))) % 41.10/41.38 (step @p457 :rule chain_m_resolution :premises (@p456 @p444) :args (@t329 @t327 (@list @t326))) % 41.10/41.38 (step @p458 :rule refl :args (@t331)) % 41.10/41.38 (step @p459 :rule bool-double-not-elim :args (@t319)) % 41.10/41.38 (step @p460 :rule nary_cong :premises (@p459 @p458) :args ((or (not @t332) @t331))) % 41.10/41.38 (assume-push @p543 @t332) % 41.10/41.38 (step @p462 :rule skolemize :premises (@p543)) % 41.10/41.38 (step-pop @p544 :rule scope :premises (@p462)) % 41.10/41.38 (step @p463 :rule process_scope :premises (@p544) :args (@t331)) % 41.10/41.38 (step @p465 :rule implies_elim :premises (@p463)) % 41.10/41.38 (step @p466 :rule eq_resolve :premises (@p465 @p460)) % 41.10/41.38 (step @p467 :rule chain_m_resolution :premises (@p466 @p457) :args (@t319 @t327 (@list @t329))) % 41.10/41.38 (step @p468 :rule cnf_or_neg :args (@t306 3)) % 41.10/41.38 (step @p469 :rule chain_m_resolution :premises (@p468 @p429) :args ((not @t294) @t311 @t318)) % 41.10/41.38 (step @p470 :rule bool-double-not-elim :args (@t296)) % 41.10/41.38 (step @p471 :rule nary_cong :premises (@p433 @p470) :args ((or @t306 (not @t297)))) % 41.10/41.38 (step @p472 :rule cnf_or_neg :args (@t306 2)) % 41.10/41.38 (step @p473 :rule eq_resolve :premises (@p472 @p471)) % 41.10/41.38 (step @p474 :rule reordering :premises (@p473) :args ((or @t296 @t306))) % 41.10/41.38 (step @p475 :rule chain_m_resolution :premises (@p474 @p429) :args (@t296 @t311 @t318)) % 41.10/41.38 (step @p476 :rule cnf_or_pos :args (@t333)) % 41.10/41.38 (step @p477 :rule reordering :premises (@p476) :args ((or @t297 @t294 @t332 @t334))) % 41.10/41.38 (step @p478 :rule chain_m_resolution :premises (@p477 @p475 @p469 @p467) :args (@t334 @t335 (@list @t296 @t294 @t319))) % 41.10/41.38 (assume-push @p545 @t303) % 41.10/41.38 (step @p480 :rule instantiate :premises (@p545) :args (@t336)) % 41.10/41.38 (step-pop @p546 :rule scope :premises (@p480)) % 41.10/41.38 (step @p481 :rule process_scope :premises (@p546) :args (@t333)) % 41.10/41.38 (step @p483 :rule implies_elim :premises (@p481)) % 41.10/41.38 (step @p484 :rule chain_m_resolution :premises (@p483 @p478) :args (@t304 @t311 (@list @t333))) % 41.10/41.38 (step @p485 :rule bool-double-not-elim :args (@t301)) % 41.10/41.38 (step @p486 :rule bool-double-not-elim :args (@t303)) % 41.10/41.38 (step @p487 :rule refl :args (@t305)) % 41.10/41.38 (step @p488 :rule nary_cong :premises (@p487 @p486 @p485) :args ((or @t305 (not @t304) (not @t302)))) % 41.10/41.38 (step @p489 :rule cnf_and_neg :args (@t305)) % 41.10/41.38 (step @p490 :rule eq_resolve :premises (@p489 @p488)) % 41.10/41.38 (step @p491 :rule reordering :premises (@p490) :args ((or @t303 @t301 @t305))) % 41.10/41.38 (step @p492 :rule chain_m_resolution :premises (@p491 @p484 @p431) :args (@t301 (@list true true) (@list @t303 @t305))) % 41.10/41.38 (assume-push @p547 @t301) % 41.10/41.38 (step @p494 :rule instantiate :premises (@p547) :args (@t336)) % 41.10/41.38 (step-pop @p548 :rule scope :premises (@p494)) % 41.10/41.38 (step @p495 :rule process_scope :premises (@p548) :args (@t339)) % 41.10/41.38 (step @p497 :rule implies_elim :premises (@p495)) % 41.10/41.38 (step @p498 :rule chain_m_resolution :premises (@p497 @p492) :args (@t339 @t327 (@list @t301))) % 41.10/41.38 (step @p499 :rule cnf_or_pos :args (@t339)) % 41.10/41.38 (step @p500 :rule reordering :premises (@p499) :args ((or @t297 @t294 @t338 (not @t339)))) % 41.10/41.38 (step @p501 :rule chain_m_resolution :premises (@p500 @p475 @p469 @p498) :args (@t338 @t335 (@list @t296 @t294 @t339))) % 41.10/41.38 (step @p502 :rule refl :args (@t346)) % 41.10/41.38 (step @p503 :rule bool-double-not-elim :args (@t337)) % 41.10/41.38 (step @p504 :rule nary_cong :premises (@p503 @p502) :args ((or (not @t338) @t346))) % 41.10/41.38 (assume-push @p549 @t338) % 41.10/41.38 (step @p506 :rule skolemize :premises (@p549)) % 41.10/41.38 (step-pop @p550 :rule scope :premises (@p506)) % 41.10/41.38 (step @p507 :rule process_scope :premises (@p550) :args (@t346)) % 41.10/41.38 (step @p509 :rule implies_elim :premises (@p507)) % 41.10/41.38 (step @p510 :rule eq_resolve :premises (@p509 @p504)) % 41.10/41.38 (step @p511 :rule chain_m_resolution :premises (@p510 @p501) :args (@t346 @t311 (@list @t337))) % 41.21/41.40 (step @p512 :rule cnf_or_neg :args (@t345 1)) % 41.21/41.40 (step @p513 :rule chain_m_resolution :premises (@p512 @p511) :args ((not @t342) @t311 @t347)) % 41.21/41.40 (step @p514 :rule bool-double-not-elim :args (@t343)) % 41.21/41.40 (step @p515 :rule refl :args (@t345)) % 41.21/41.40 (step @p516 :rule nary_cong :premises (@p515 @p514) :args ((or @t345 (not @t344)))) % 41.21/41.40 (step @p517 :rule cnf_or_neg :args (@t345 0)) % 41.21/41.40 (step @p518 :rule eq_resolve :premises (@p517 @p516)) % 41.21/41.40 (step @p519 :rule reordering :premises (@p518) :args ((or @t343 @t345))) % 41.21/41.40 (step @p520 :rule chain_m_resolution :premises (@p519 @p511) :args (@t343 @t311 @t347)) % 41.21/41.40 (step @p521 :rule cnf_and_pos :args (@t348 1)) % 41.21/41.40 (step @p522 :rule reordering :premises (@p521) :args ((or @t344 @t349))) % 41.21/41.40 (step @p523 :rule chain_m_resolution :premises (@p522 @p520) :args (@t349 @t327 (@list @t343))) % 41.21/41.40 (assume-push @p551 @t298) % 41.21/41.40 (step @p525 :rule instantiate :premises (@p551) :args ((@list @t341 @t340))) % 41.21/41.40 (step-pop @p552 :rule scope :premises (@p525)) % 41.21/41.40 (step @p526 :rule process_scope :premises (@p552) :args (@t350)) % 41.21/41.40 (step @p528 :rule implies_elim :premises (@p526)) % 41.21/41.40 (step @p529 :rule chain_m_resolution :premises (@p528 @p438) :args (@t350 @t327 @t328)) % 41.21/41.40 (step @p530 :rule cnf_or_pos :args (@t350)) % 41.21/41.40 (step @p531 :rule reordering :premises (@p530) :args ((or @t342 @t348 (not @t350)))) % 41.21/41.40 (step @p532 false :rule chain_m_resolution :premises (@p531 @p529 @p523 @p513) :args (false (@list false true true) (@list @t350 @t348 @t342))) % 41.21/41.40 ) % 41.21/41.40 % SZS output end Proof % 41.21/41.40 % cvc5 exiting %------------------------------------------------------------------------------