%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV153^5 : 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 : n023.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 08:55:31 AM UTC 2026 % Result : Theorem 8.32s 8.59s % Output : Proof 8.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV153^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 18:16:43 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TH0 % 8.32/8.59 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 8.32/8.59 % SZS status Theorem % 8.32/8.59 % SZS output start Proof % 8.32/8.59 ( % 8.32/8.59 (declare-sort tptp.a 0) % 8.32/8.59 (define @t1 () (@var "Xz" tptp.a)) % 8.32/8.59 (define @t2 () (@var "Xq" (-> tptp.a Bool))) % 8.32/8.59 (define @t3 () (_ @t2 @t1)) % 8.32/8.59 (define @t4 () (@var "Xv" tptp.a)) % 8.32/8.59 (define @t5 () (_ @t2 @t4)) % 8.32/8.59 (define @t6 () (@var "Xu" tptp.a)) % 8.32/8.59 (define @t7 () (@var "S" (-> tptp.a tptp.a Bool))) % 8.32/8.59 (define @t8 () (_ (_ @t7 @t6) @t4)) % 8.32/8.59 (define @t9 () (@var "R" (-> tptp.a tptp.a Bool))) % 8.32/8.59 (define @t10 () (_ (_ @t9 @t6) @t4)) % 8.32/8.59 (define @t11 () (or @t10 @t8)) % 8.32/8.59 (define @t12 () (_ @t2 @t6)) % 8.32/8.59 (define @t13 () (and @t12 @t11)) % 8.32/8.59 (define @t14 () (@list @t6 @t4)) % 8.32/8.59 (define @t15 () (forall @t14 (=> @t13 @t5))) % 8.32/8.59 (define @t16 () (@var "Xw" tptp.a)) % 8.32/8.59 (define @t17 () (_ @t2 @t16)) % 8.32/8.59 (define @t18 () (@var "Xx0" tptp.a)) % 8.32/8.59 (define @t19 () (_ (_ @t7 @t18) @t16)) % 8.32/8.59 (define @t20 () (_ (_ @t9 @t18) @t16)) % 8.32/8.59 (define @t21 () (or @t20 @t19)) % 8.32/8.59 (define @t22 () (@list @t16)) % 8.32/8.59 (define @t23 () (forall @t22 (=> @t21 @t17))) % 8.32/8.59 (define @t24 () (and @t23 @t15)) % 8.32/8.59 (define @t25 () (=> @t24 @t3)) % 8.32/8.59 (define @t26 () (@list @t2)) % 8.32/8.59 (define @t27 () (forall @t26 @t25)) % 8.32/8.59 (define @t28 () (@var "Xy0" tptp.a)) % 8.32/8.59 (define @t29 () (_ (_ @t7 @t28) @t16)) % 8.32/8.59 (define @t30 () (_ (_ @t9 @t28) @t16)) % 8.32/8.59 (define @t31 () (or @t30 @t29)) % 8.32/8.59 (define @t32 () (forall @t22 (=> @t31 @t17))) % 8.32/8.59 (define @t33 () (and @t32 @t15)) % 8.32/8.59 (define @t34 () (=> @t33 @t3)) % 8.32/8.59 (define @t35 () (forall @t26 @t34)) % 8.32/8.59 (define @t36 () (_ @t2 @t28)) % 8.32/8.59 (define @t37 () (=> @t24 @t36)) % 8.32/8.59 (define @t38 () (forall @t26 @t37)) % 8.32/8.59 (define @t39 () (and @t38 @t35)) % 8.32/8.59 (define @t40 () (=> @t39 @t27)) % 8.32/8.59 (define @t41 () (@list @t18 @t28 @t1)) % 8.32/8.59 (define @t42 () (forall @t41 @t40)) % 8.32/8.59 (define @t43 () (and @t12 @t8)) % 8.32/8.59 (define @t44 () (forall @t14 (=> @t43 @t5))) % 8.32/8.59 (define @t45 () (forall @t22 (=> @t19 @t17))) % 8.32/8.59 (define @t46 () (and @t45 @t44)) % 8.32/8.59 (define @t47 () (=> @t46 @t36)) % 8.32/8.59 (define @t48 () (forall @t26 @t47)) % 8.32/8.59 (define @t49 () (and @t12 @t10)) % 8.32/8.59 (define @t50 () (forall @t14 (=> @t49 @t5))) % 8.32/8.59 (define @t51 () (forall @t22 (=> @t20 @t17))) % 8.32/8.59 (define @t52 () (and @t51 @t50)) % 8.32/8.59 (define @t53 () (=> @t52 @t36)) % 8.32/8.59 (define @t54 () (forall @t26 @t53)) % 8.32/8.59 (define @t55 () (or @t54 @t48)) % 8.32/8.59 (define @t56 () (=> @t55 @t38)) % 8.32/8.59 (define @t57 () (@list @t18 @t28)) % 8.32/8.59 (define @t58 () (forall @t57 @t56)) % 8.32/8.59 (define @t59 () (@var "Xy" tptp.a)) % 8.32/8.59 (define @t60 () (_ @t2 @t59)) % 8.32/8.59 (define @t61 () (@var "Xx" tptp.a)) % 8.32/8.59 (define @t62 () (_ (_ @t7 @t61) @t16)) % 8.32/8.59 (define @t63 () (_ (_ @t9 @t61) @t16)) % 8.32/8.59 (define @t64 () (or @t63 @t62)) % 8.32/8.59 (define @t65 () (forall @t22 (=> @t64 @t17))) % 8.32/8.59 (define @t66 () (and @t65 @t15)) % 8.32/8.59 (define @t67 () (=> @t66 @t60)) % 8.32/8.59 (define @t68 () (forall @t26 @t67)) % 8.32/8.59 (define @t69 () (not @t68)) % 8.32/8.59 (define @t70 () (and @t69 @t58 @t42)) % 8.32/8.59 (define @t71 () (or @t68 @t70)) % 8.32/8.59 (define @t72 () (@list @t9 @t7 @t61 @t59)) % 8.32/8.59 (define @t73 () (forall @t72 @t71)) % 8.32/8.59 (define @t74 () (not @t73)) % 8.32/8.59 (define @t75 () (@var "BOUND_VARIABLE_7700" (-> tptp.a Bool))) % 8.32/8.59 (define @t76 () (_ @t75 @t59)) % 8.32/8.59 (define @t77 () (_ @t7 @t6 @t4)) % 8.32/8.59 (define @t78 () (not @t77)) % 8.32/8.59 (define @t79 () (_ @t9 @t6 @t4)) % 8.32/8.59 (define @t80 () (not @t79)) % 8.32/8.59 (define @t81 () (and @t80 @t78)) % 8.32/8.59 (define @t82 () (not (forall @t14 (or (not (_ @t75 @t6)) @t81 (_ @t75 @t4))))) % 8.32/8.59 (define @t83 () (_ @t7 @t61 @t16)) % 8.32/8.59 (define @t84 () (_ @t9 @t61 @t16)) % 8.32/8.59 (define @t85 () (and (not @t84) (not @t83))) % 8.32/8.59 (define @t86 () (not (forall @t22 (or @t85 (_ @t75 @t16))))) % 8.32/8.59 (define @t87 () (@var "BOUND_VARIABLE_7755" tptp.a)) % 8.32/8.59 (define @t88 () (@var "BOUND_VARIABLE_7757" (-> tptp.a Bool))) % 8.32/8.59 (define @t89 () (@var "BOUND_VARIABLE_7751" tptp.a)) % 8.32/8.59 (define @t90 () (and (not (_ @t9 @t89 @t16)) (not (_ @t7 @t89 @t16)))) % 8.32/8.59 (define @t91 () (_ @t2 @t4)) % 8.32/8.59 (define @t92 () (_ @t2 @t6)) % 8.32/8.59 (define @t93 () (not @t92)) % 8.32/8.59 (define @t94 () (forall @t14 (or @t93 @t81 @t91))) % 8.32/8.59 (define @t95 () (not @t94)) % 8.32/8.59 (define @t96 () (_ @t2 @t16)) % 8.32/8.59 (define @t97 () (@var "BOUND_VARIABLE_7753" tptp.a)) % 8.32/8.59 (define @t98 () (or (not (forall @t26 (or (not (forall @t22 (or @t90 @t96))) @t95 (_ @t2 @t97)))) (not (forall @t26 (or (not (forall @t22 (or (and (not (_ @t9 @t97 @t16)) (not (_ @t7 @t97 @t16))) @t96))) @t95 (_ @t2 @t87)))) (not (forall @t22 (or @t90 (_ @t88 @t16)))) (not (forall @t14 (or (not (_ @t88 @t6)) @t81 (_ @t88 @t4)))) (_ @t88 @t87))) % 8.32/8.59 (define @t99 () (@var "BOUND_VARIABLE_7716" tptp.a)) % 8.32/8.59 (define @t100 () (@var "BOUND_VARIABLE_7718" (-> tptp.a Bool))) % 8.32/8.59 (define @t101 () (@var "BOUND_VARIABLE_7714" tptp.a)) % 8.32/8.59 (define @t102 () (not (_ @t7 @t101 @t16))) % 8.32/8.59 (define @t103 () (not (_ @t9 @t101 @t16))) % 8.32/8.59 (define @t104 () (_ @t2 @t99)) % 8.32/8.59 (define @t105 () (forall @t14 (or @t93 @t78 @t91))) % 8.32/8.59 (define @t106 () (not @t105)) % 8.32/8.59 (define @t107 () (forall @t14 (or @t93 @t80 @t91))) % 8.32/8.59 (define @t108 () (not @t107)) % 8.32/8.59 (define @t109 () (or (and (not (forall @t26 (or (not (forall @t22 (or @t103 @t96))) @t108 @t104))) (not (forall @t26 (or (not (forall @t22 (or @t102 @t96))) @t106 @t104)))) (not (forall @t22 (or (and @t103 @t102) (_ @t100 @t16)))) (not (forall @t14 (or (not (_ @t100 @t6)) @t81 (_ @t100 @t4)))) (_ @t100 @t99))) % 8.32/8.59 (define @t110 () (_ @t2 @t59)) % 8.32/8.59 (define @t111 () (forall @t22 (or @t85 @t96))) % 8.32/8.59 (define @t112 () (not @t111)) % 8.32/8.59 (define @t113 () (forall @t26 (or @t112 @t95 @t110))) % 8.32/8.59 (define @t114 () (not @t113)) % 8.32/8.59 (define @t115 () (and @t114 @t109 @t98)) % 8.32/8.59 (define @t116 () (or @t115 @t86 @t82 @t76)) % 8.32/8.59 (define @t117 () (@list @t9 @t7 @t61 @t59 @t75 @t101 @t99 @t100 @t89 @t97 @t87 @t88)) % 8.32/8.59 (define @t118 () (forall @t117 @t116)) % 8.32/8.59 (define @t119 () (@quantifiers_skolemize @t118 9)) % 8.32/8.59 (define @t120 () (@quantifiers_skolemize @t118 1)) % 8.32/8.59 (define @t121 () (not (_ @t120 @t6 @t4))) % 8.32/8.59 (define @t122 () (@quantifiers_skolemize @t118 0)) % 8.32/8.59 (define @t123 () (not (_ @t122 @t6 @t4))) % 8.32/8.59 (define @t124 () (and @t123 @t121)) % 8.32/8.59 (define @t125 () (not (forall @t14 (or @t93 @t124 @t91)))) % 8.32/8.59 (define @t126 () (@quantifiers_skolemize @t118 8)) % 8.32/8.59 (define @t127 () (and (not (_ @t122 @t126 @t16)) (not (_ @t120 @t126 @t16)))) % 8.32/8.59 (define @t128 () (forall @t26 (or (not (forall @t22 (or @t127 @t96))) @t125 (_ @t2 @t119)))) % 8.32/8.59 (define @t129 () (@quantifiers_skolemize @t118 10)) % 8.32/8.59 (define @t130 () (@quantifiers_skolemize @t118 11)) % 8.32/8.59 (define @t131 () (_ @t130 @t129)) % 8.32/8.59 (define @t132 () (forall @t14 (or (not (_ @t130 @t6)) @t124 (_ @t130 @t4)))) % 8.32/8.59 (define @t133 () (not @t132)) % 8.32/8.59 (define @t134 () (_ @t130 @t16)) % 8.32/8.59 (define @t135 () (forall @t22 (or @t127 @t134))) % 8.32/8.59 (define @t136 () (not @t135)) % 8.32/8.59 (define @t137 () (and (not (_ @t122 @t119 @t16)) (not (_ @t120 @t119 @t16)))) % 8.32/8.59 (define @t138 () (forall @t26 (or (not (forall @t22 (or @t137 @t96))) @t125 (_ @t2 @t129)))) % 8.32/8.59 (define @t139 () (not @t138)) % 8.32/8.59 (define @t140 () (not @t128)) % 8.32/8.59 (define @t141 () (or @t140 @t139 @t136 @t133 @t131)) % 8.32/8.59 (define @t142 () (@list @t130)) % 8.32/8.59 (define @t143 () (_ @t130 @t119)) % 8.32/8.59 (define @t144 () (or @t136 @t133 @t143)) % 8.32/8.59 (define @t145 () (forall @t22 (or @t137 @t134))) % 8.32/8.59 (define @t146 () (not @t145)) % 8.32/8.59 (define @t147 () (or @t146 @t133 @t131)) % 8.32/8.59 (define @t148 () (@quantifiers_skolemize @t145 0)) % 8.32/8.59 (define @t149 () (_ @t130 @t148)) % 8.32/8.59 (define @t150 () (and (not (_ @t122 @t119 @t148)) (not (_ @t120 @t119 @t148)))) % 8.32/8.59 (define @t151 () (not @t143)) % 8.32/8.59 (define @t152 () (or @t151 @t150 @t149)) % 8.32/8.59 (define @t153 () (or @t150 @t149)) % 8.32/8.59 (define @t154 () (not @t153)) % 8.32/8.59 (define @t155 () (or @t86 @t82 @t76)) % 8.32/8.59 (define @t156 () (or @t155 @t115)) % 8.32/8.59 (define @t157 () (forall @t117 @t156)) % 8.32/8.59 (define @t158 () (forall (@list @t75 @t101 @t99 @t100 @t89 @t97 @t87 @t88) @t156)) % 8.32/8.59 (define @t159 () (forall (@list @t89 @t97 @t87 @t88) @t98)) % 8.32/8.59 (define @t160 () (@var "BOUND_VARIABLE_7678" (-> tptp.a Bool))) % 8.32/8.59 (define @t161 () (@list @t101 @t99 @t100 @t89 @t97 @t87 @t88)) % 8.32/8.59 (define @t162 () (forall @t161 @t98)) % 8.32/8.59 (define @t163 () (forall (@list @t101 @t99 @t100) @t109)) % 8.32/8.59 (define @t164 () (@var "BOUND_VARIABLE_7620" (-> tptp.a Bool))) % 8.32/8.59 (define @t165 () (forall @t161 @t109)) % 8.32/8.59 (define @t166 () (forall @t161 @t114)) % 8.32/8.59 (define @t167 () (and @t166 @t165 @t162)) % 8.32/8.59 (define @t168 () (forall @t161 @t115)) % 8.32/8.59 (define @t169 () (forall (@list @t75) @t155)) % 8.32/8.59 (define @t170 () (@list @t2)) % 8.32/8.59 (define @t171 () (or @t169 @t168)) % 8.32/8.59 (define @t172 () (_ @t160 @t1)) % 8.32/8.59 (define @t173 () (not (forall @t14 (or (not (_ @t160 @t6)) @t81 (_ @t160 @t4))))) % 8.32/8.59 (define @t174 () (_ @t7 @t18 @t16)) % 8.32/8.59 (define @t175 () (not @t174)) % 8.32/8.59 (define @t176 () (_ @t9 @t18 @t16)) % 8.32/8.59 (define @t177 () (not @t176)) % 8.32/8.59 (define @t178 () (and @t177 @t175)) % 8.32/8.59 (define @t179 () (not (forall @t22 (or @t178 (_ @t160 @t16))))) % 8.32/8.59 (define @t180 () (_ @t2 @t1)) % 8.32/8.59 (define @t181 () (_ @t7 @t28 @t16)) % 8.32/8.59 (define @t182 () (_ @t9 @t28 @t16)) % 8.32/8.59 (define @t183 () (forall @t22 (or (and (not @t182) (not @t181)) @t96))) % 8.32/8.59 (define @t184 () (not @t183)) % 8.32/8.59 (define @t185 () (forall @t26 (or @t184 @t95 @t180))) % 8.32/8.59 (define @t186 () (not @t185)) % 8.32/8.59 (define @t187 () (_ @t2 @t28)) % 8.32/8.59 (define @t188 () (forall @t22 (or @t178 @t96))) % 8.32/8.59 (define @t189 () (not @t188)) % 8.32/8.59 (define @t190 () (forall @t26 (or @t189 @t95 @t187))) % 8.32/8.59 (define @t191 () (not @t190)) % 8.32/8.59 (define @t192 () (or @t191 @t186 @t179 @t173 @t172)) % 8.32/8.59 (define @t193 () (@list @t18 @t28 @t1 @t160)) % 8.32/8.59 (define @t194 () (_ @t164 @t28)) % 8.32/8.59 (define @t195 () (not (forall @t14 (or (not (_ @t164 @t6)) @t81 (_ @t164 @t4))))) % 8.32/8.59 (define @t196 () (not (forall @t22 (or @t178 (_ @t164 @t16))))) % 8.32/8.59 (define @t197 () (forall @t22 (or @t175 @t96))) % 8.32/8.59 (define @t198 () (not @t197)) % 8.32/8.59 (define @t199 () (forall @t26 (or @t198 @t106 @t187))) % 8.32/8.59 (define @t200 () (forall @t22 (or @t177 @t96))) % 8.32/8.59 (define @t201 () (not @t200)) % 8.32/8.59 (define @t202 () (forall @t26 (or @t201 @t108 @t187))) % 8.32/8.59 (define @t203 () (and (not @t202) (not @t199))) % 8.32/8.59 (define @t204 () (or @t203 @t196 @t195 @t194)) % 8.32/8.59 (define @t205 () (@list @t18 @t28 @t164)) % 8.32/8.59 (define @t206 () (or @t179 @t173 @t172)) % 8.32/8.59 (define @t207 () (or @t191 @t186 @t206)) % 8.32/8.59 (define @t208 () (forall @t193 @t207)) % 8.32/8.59 (define @t209 () (@list @t160)) % 8.32/8.59 (define @t210 () (forall @t209 @t207)) % 8.32/8.59 (define @t211 () (forall @t209 @t206)) % 8.32/8.59 (define @t212 () (or @t191 @t186 @t211)) % 8.32/8.59 (define @t213 () (forall @t26 (or @t189 @t95 @t180))) % 8.32/8.59 (define @t214 () (or @t191 @t186 @t213)) % 8.32/8.59 (define @t215 () (and @t190 @t185)) % 8.32/8.59 (define @t216 () (or @t189 @t95 @t3)) % 8.32/8.59 (define @t217 () (or @t189 @t95)) % 8.32/8.59 (define @t218 () (and @t188 @t94)) % 8.32/8.59 (define @t219 () (not @t218)) % 8.32/8.59 (define @t220 () (not @t8)) % 8.32/8.59 (define @t221 () (not @t10)) % 8.32/8.59 (define @t222 () (and @t221 @t220)) % 8.32/8.59 (define @t223 () (not @t12)) % 8.32/8.59 (define @t224 () (or @t223 @t222 @t5)) % 8.32/8.59 (define @t225 () (not @t19)) % 8.32/8.59 (define @t226 () (not @t20)) % 8.32/8.59 (define @t227 () (and @t226 @t225)) % 8.32/8.59 (define @t228 () (or @t227 @t17)) % 8.32/8.59 (define @t229 () (or @t184 @t95 @t3)) % 8.32/8.59 (define @t230 () (and @t183 @t94)) % 8.32/8.59 (define @t231 () (not @t29)) % 8.32/8.59 (define @t232 () (not @t30)) % 8.32/8.59 (define @t233 () (and @t232 @t231)) % 8.32/8.59 (define @t234 () (or @t233 @t17)) % 8.32/8.59 (define @t235 () (or @t189 @t95 @t36)) % 8.32/8.59 (define @t236 () (or @t196 @t195 @t194)) % 8.32/8.59 (define @t237 () (or @t203 @t236)) % 8.32/8.59 (define @t238 () (forall @t205 @t237)) % 8.32/8.59 (define @t239 () (@list @t164)) % 8.32/8.59 (define @t240 () (forall @t239 @t237)) % 8.32/8.59 (define @t241 () (forall @t239 @t236)) % 8.32/8.59 (define @t242 () (or @t203 @t241)) % 8.32/8.59 (define @t243 () (or @t202 @t199)) % 8.32/8.59 (define @t244 () (or @t198 @t106 @t36)) % 8.32/8.59 (define @t245 () (and @t197 @t105)) % 8.32/8.59 (define @t246 () (or @t223 @t220 @t5)) % 8.32/8.59 (define @t247 () (or @t225 @t17)) % 8.32/8.59 (define @t248 () (or @t201 @t108 @t36)) % 8.32/8.59 (define @t249 () (and @t200 @t107)) % 8.32/8.59 (define @t250 () (or @t223 @t221 @t5)) % 8.32/8.59 (define @t251 () (or @t226 @t17)) % 8.32/8.59 (define @t252 () (or @t112 @t95 @t60)) % 8.32/8.59 (define @t253 () (and @t111 @t94)) % 8.32/8.59 (define @t254 () (not @t62)) % 8.32/8.59 (define @t255 () (not @t63)) % 8.32/8.59 (define @t256 () (and @t255 @t254)) % 8.32/8.59 (define @t257 () (or @t256 @t17)) % 8.32/8.59 (define @t258 () (@quantifiers_skolemize @t118 3)) % 8.32/8.59 (define @t259 () (@quantifiers_skolemize @t118 4)) % 8.32/8.59 (define @t260 () (_ @t259 @t258)) % 8.32/8.59 (define @t261 () (forall @t14 (or (not (_ @t259 @t6)) @t124 (_ @t259 @t4)))) % 8.32/8.59 (define @t262 () (not @t261)) % 8.32/8.59 (define @t263 () (@quantifiers_skolemize @t118 2)) % 8.32/8.59 (define @t264 () (and (not (_ @t122 @t263 @t16)) (not (_ @t120 @t263 @t16)))) % 8.32/8.59 (define @t265 () (forall @t22 (or @t264 (_ @t259 @t16)))) % 8.32/8.59 (define @t266 () (not @t265)) % 8.32/8.59 (define @t267 () (@quantifiers_skolemize @t118 6)) % 8.32/8.59 (define @t268 () (@quantifiers_skolemize @t118 7)) % 8.32/8.59 (define @t269 () (_ @t268 @t267)) % 8.32/8.59 (define @t270 () (_ @t268 @t4)) % 8.32/8.59 (define @t271 () (not (_ @t268 @t6))) % 8.32/8.59 (define @t272 () (forall @t14 (or @t271 @t124 @t270))) % 8.32/8.59 (define @t273 () (not @t272)) % 8.32/8.59 (define @t274 () (_ @t268 @t16)) % 8.32/8.59 (define @t275 () (@quantifiers_skolemize @t118 5)) % 8.32/8.59 (define @t276 () (not (_ @t120 @t275 @t16))) % 8.32/8.59 (define @t277 () (not (_ @t122 @t275 @t16))) % 8.32/8.59 (define @t278 () (forall @t22 (or (and @t277 @t276) @t274))) % 8.32/8.59 (define @t279 () (not @t278)) % 8.32/8.59 (define @t280 () (_ @t2 @t267)) % 8.32/8.59 (define @t281 () (forall @t26 (or (not (forall @t22 (or @t276 @t96))) (not (forall @t14 (or @t93 @t121 @t91))) @t280))) % 8.32/8.59 (define @t282 () (not @t281)) % 8.32/8.59 (define @t283 () (forall @t26 (or (not (forall @t22 (or @t277 @t96))) (not (forall @t14 (or @t93 @t123 @t91))) @t280))) % 8.32/8.59 (define @t284 () (not @t283)) % 8.32/8.59 (define @t285 () (and @t284 @t282)) % 8.32/8.59 (define @t286 () (or @t285 @t279 @t273 @t269)) % 8.32/8.59 (define @t287 () (forall @t26 (or (not (forall @t22 (or @t264 @t96))) @t125 (_ @t2 @t258)))) % 8.32/8.59 (define @t288 () (not @t287)) % 8.32/8.59 (define @t289 () (and @t288 @t286 @t141)) % 8.32/8.59 (define @t290 () (or @t289 @t266 @t262 @t260)) % 8.32/8.59 (define @t291 () (@list true)) % 8.32/8.59 (define @t292 () (@list @t290)) % 8.32/8.59 (define @t293 () (or @t266 @t262 @t260)) % 8.32/8.59 (define @t294 () (not @t293)) % 8.32/8.59 (define @t295 () (not @t141)) % 8.32/8.59 (define @t296 () (not @t286)) % 8.32/8.59 (define @t297 () (@list true true false)) % 8.32/8.59 (define @t298 () (@list @t286)) % 8.32/8.59 (define @t299 () (forall @t14 (or @t271 @t123 @t270))) % 8.32/8.59 (define @t300 () (@quantifiers_skolemize @t299 1)) % 8.32/8.59 (define @t301 () (@quantifiers_skolemize @t299 0)) % 8.32/8.59 (define @t302 () (_ @t268 @t300)) % 8.32/8.59 (define @t303 () (_ @t122 @t301 @t300)) % 8.32/8.59 (define @t304 () (not @t303)) % 8.32/8.59 (define @t305 () (and @t304 (not (_ @t120 @t301 @t300)))) % 8.32/8.59 (define @t306 () (_ @t268 @t301)) % 8.32/8.59 (define @t307 () (not @t306)) % 8.32/8.59 (define @t308 () (or @t307 @t305 @t302)) % 8.32/8.59 (define @t309 () (@list false)) % 8.32/8.59 (define @t310 () (@list @t272)) % 8.32/8.59 (define @t311 () (or @t307 @t304 @t302)) % 8.32/8.59 (define @t312 () (not @t308)) % 8.32/8.59 (define @t313 () (not @t311)) % 8.32/8.59 (define @t314 () (not @t299)) % 8.32/8.59 (define @t315 () (forall @t22 (or @t277 @t274))) % 8.32/8.59 (define @t316 () (@quantifiers_skolemize @t315 0)) % 8.32/8.59 (define @t317 () (_ @t268 @t316)) % 8.32/8.59 (define @t318 () (_ @t122 @t275 @t316)) % 8.32/8.59 (define @t319 () (not @t318)) % 8.32/8.59 (define @t320 () (and @t319 (not (_ @t120 @t275 @t316)))) % 8.32/8.59 (define @t321 () (or @t320 @t317)) % 8.32/8.59 (define @t322 () (@list @t278)) % 8.32/8.59 (define @t323 () (or @t319 @t317)) % 8.32/8.59 (define @t324 () (not @t321)) % 8.32/8.59 (define @t325 () (not @t323)) % 8.32/8.59 (define @t326 () (not @t315)) % 8.32/8.59 (define @t327 () (or @t326 @t314 @t269)) % 8.32/8.59 (define @t328 () (not @t327)) % 8.32/8.59 (define @t329 () (@list true false false)) % 8.32/8.59 (define @t330 () (@list @t268)) % 8.32/8.59 (define @t331 () (forall @t14 (or @t271 @t121 @t270))) % 8.32/8.59 (define @t332 () (not @t331)) % 8.32/8.59 (define @t333 () (forall @t22 (or @t276 @t274))) % 8.32/8.59 (define @t334 () (not @t333)) % 8.32/8.59 (define @t335 () (or @t334 @t332 @t269)) % 8.32/8.59 (define @t336 () (@quantifiers_skolemize @t333 0)) % 8.32/8.59 (define @t337 () (_ @t120 @t275 @t336)) % 8.32/8.59 (define @t338 () (_ @t268 @t336)) % 8.32/8.59 (define @t339 () (not @t337)) % 8.32/8.59 (define @t340 () (or @t339 @t338)) % 8.32/8.59 (define @t341 () (and (not (_ @t122 @t275 @t336)) @t339)) % 8.32/8.59 (define @t342 () (or @t341 @t338)) % 8.32/8.59 (define @t343 () (@list false true true false)) % 8.32/8.59 (define @t344 () (not @t340)) % 8.32/8.59 (define @t345 () (@quantifiers_skolemize @t331 1)) % 8.32/8.59 (define @t346 () (_ @t268 @t345)) % 8.32/8.59 (define @t347 () (@quantifiers_skolemize @t331 0)) % 8.32/8.59 (define @t348 () (_ @t120 @t347 @t345)) % 8.32/8.59 (define @t349 () (not @t348)) % 8.32/8.59 (define @t350 () (_ @t268 @t347)) % 8.32/8.59 (define @t351 () (not @t350)) % 8.32/8.59 (define @t352 () (or @t351 @t349 @t346)) % 8.32/8.59 (define @t353 () (not @t352)) % 8.32/8.59 (define @t354 () (@list @t352)) % 8.32/8.59 (define @t355 () (and (not (_ @t122 @t347 @t345)) @t349)) % 8.32/8.59 (define @t356 () (not @t355)) % 8.32/8.59 (define @t357 () (or @t351 @t355 @t346)) % 8.32/8.59 (assume @p1 @t74) % 8.32/8.59 (assume @p2 true) % 8.32/8.59 (step @p3 :rule bool-double-not-elim :args (@t128)) % 8.32/8.59 (step @p4 :rule refl :args (@t141)) % 8.32/8.59 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t141 (not @t140)))) % 8.32/8.59 (step @p6 :rule cnf_or_neg :args (@t141 0)) % 8.32/8.59 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 8.32/8.59 (step @p8 :rule reordering :premises (@p7) :args ((or @t128 @t141))) % 8.32/8.59 (step @p9 :rule bool-double-not-elim :args (@t138)) % 8.32/8.59 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t141 (not @t139)))) % 8.32/8.59 (step @p11 :rule cnf_or_neg :args (@t141 1)) % 8.32/8.59 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 8.32/8.59 (step @p13 :rule reordering :premises (@p12) :args ((or @t138 @t141))) % 8.32/8.59 (step @p14 :rule bool-double-not-elim :args (@t135)) % 8.32/8.59 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t141 (not @t136)))) % 8.32/8.59 (step @p16 :rule cnf_or_neg :args (@t141 2)) % 8.32/8.59 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 8.32/8.59 (step @p18 :rule reordering :premises (@p17) :args ((or @t135 @t141))) % 8.32/8.59 (step @p19 :rule bool-double-not-elim :args (@t132)) % 8.32/8.59 (step @p20 :rule nary_cong :premises (@p4 @p19) :args ((or @t141 (not @t133)))) % 8.32/8.59 (step @p21 :rule cnf_or_neg :args (@t141 3)) % 8.32/8.59 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 8.32/8.59 (step @p23 :rule reordering :premises (@p22) :args ((or @t132 @t141))) % 8.32/8.59 (step @p24 :rule cnf_or_neg :args (@t141 4)) % 8.32/8.59 (assume-push @p586 @t128) % 8.32/8.59 (step @p26 :rule instantiate :premises (@p586) :args (@t142)) % 8.32/8.59 (step-pop @p587 :rule scope :premises (@p26)) % 8.32/8.59 (step @p27 :rule process_scope :premises (@p587) :args (@t144)) % 8.32/8.59 (step @p29 :rule implies_elim :premises (@p27)) % 8.32/8.59 (assume-push @p588 @t138) % 8.32/8.59 (step @p31 :rule instantiate :premises (@p588) :args (@t142)) % 8.32/8.59 (step-pop @p589 :rule scope :premises (@p31)) % 8.32/8.59 (step @p32 :rule process_scope :premises (@p589) :args (@t147)) % 8.32/8.59 (step @p34 :rule implies_elim :premises (@p32)) % 8.32/8.59 (assume-push @p590 @t132) % 8.32/8.59 (step @p36 :rule instantiate :premises (@p590) :args ((@list @t119 @t148))) % 8.32/8.59 (step-pop @p591 :rule scope :premises (@p36)) % 8.32/8.59 (step @p37 :rule process_scope :premises (@p591) :args (@t152)) % 8.32/8.59 (step @p39 :rule implies_elim :premises (@p37)) % 8.32/8.59 (step @p40 :rule cnf_or_pos :args (@t144)) % 8.32/8.59 (step @p41 :rule reordering :premises (@p40) :args ((or @t136 @t133 @t143 (not @t144)))) % 8.32/8.59 (step @p42 :rule cnf_or_pos :args (@t147)) % 8.32/8.59 (step @p43 :rule reordering :premises (@p42) :args ((or @t133 @t131 @t146 (not @t147)))) % 8.32/8.59 (step @p44 :rule refl :args (@t154)) % 8.32/8.59 (step @p45 :rule bool-double-not-elim :args (@t145)) % 8.32/8.59 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t146) @t154))) % 8.32/8.59 (assume-push @p592 @t146) % 8.32/8.59 (step @p48 :rule skolemize :premises (@p592)) % 8.32/8.59 (step-pop @p593 :rule scope :premises (@p48)) % 8.32/8.59 (step @p49 :rule process_scope :premises (@p593) :args (@t154)) % 8.32/8.59 (step @p51 :rule implies_elim :premises (@p49)) % 8.32/8.59 (step @p52 :rule eq_resolve :premises (@p51 @p46)) % 8.32/8.59 (step @p53 :rule cnf_or_neg :args (@t153 0)) % 8.32/8.59 (step @p54 :rule cnf_or_neg :args (@t153 1)) % 8.32/8.59 (step @p55 :rule cnf_or_pos :args (@t152)) % 8.32/8.59 (step @p56 :rule reordering :premises (@p55) :args ((or @t150 @t149 @t151 (not @t152)))) % 8.32/8.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p53 @p52 @p43 @p41 @p39 @p34 @p29 @p24 @p23 @p18 @p13 @p8) :args (@t141 (@list true true true true false false false false true false false false false) (@list @t149 @t150 @t153 @t145 @t143 @t152 @t147 @t144 @t131 @t132 @t135 @t138 @t128))) % 8.32/8.59 (step @p58 :rule aci_norm :args ((= @t156 @t116))) % 8.32/8.59 (step @p59 :rule cong :premises (@p58) :args (@t157)) % 8.32/8.59 (step @p60 :rule quant-merge-prenex :args ((= (forall @t72 @t158) @t157))) % 8.32/8.59 (step @p61 :rule alpha_equiv :args (@t159 (@list @t89 @t97 @t87 @t88) (@list @t18 @t28 @t1 @t160))) % 8.32/8.59 (step @p62 :rule quant-unused-vars :args ((= @t162 @t159))) % 8.32/8.59 (step @p63 :rule trans :premises (@p62 @p61)) % 8.32/8.59 (step @p64 :rule alpha_equiv :args (@t163 (@list @t101 @t99 @t100) (@list @t18 @t28 @t164))) % 8.32/8.59 (step @p65 :rule quant-unused-vars :args ((= @t165 @t163))) % 8.32/8.59 (step @p66 :rule trans :premises (@p65 @p64)) % 8.32/8.59 (step @p67 :rule quant-unused-vars :args ((= @t166 @t114))) % 8.32/8.59 (step @p68 :rule nary_cong :premises (@p67 @p66 @p63) :args (@t167)) % 8.32/8.59 (step @p69 :rule quant-miniscope-and :args ((= @t168 @t167))) % 8.32/8.59 (step @p70 :rule trans :premises (@p69 @p68)) % 8.32/8.59 (step @p71 :rule alpha_equiv :args (@t169 (@list @t75) @t170)) % 8.32/8.59 (step @p72 :rule nary_cong :premises (@p71 @p70) :args (@t171)) % 8.32/8.59 (step @p73 :rule quant-miniscope-or :args ((= @t158 @t171))) % 8.32/8.59 (step @p74 :rule trans :premises (@p73 @p72)) % 8.32/8.59 (step @p75 :rule symm :premises (@p74)) % 8.32/8.59 (step @p76 :rule cong :premises (@p75) :args ((forall @t72 (or @t113 (and @t114 (forall @t205 @t204) (forall @t193 @t192)))))) % 8.32/8.59 (step @p77 :rule trans :premises (@p76 @p60)) % 8.32/8.59 (step @p78 :rule trans :premises (@p77 @p59)) % 8.32/8.59 (step @p79 :rule aci_norm :args ((= @t207 @t192))) % 8.32/8.59 (step @p80 :rule cong :premises (@p79) :args (@t208)) % 8.32/8.59 (step @p81 :rule quant-merge-prenex :args ((= (forall @t41 @t210) @t208))) % 8.32/8.59 (step @p82 :rule alpha_equiv :args (@t211 (@list @t160) @t170)) % 8.32/8.59 (step @p83 :rule refl :args (@t186)) % 8.32/8.59 (step @p84 :rule refl :args (@t191)) % 8.32/8.59 (step @p85 :rule nary_cong :premises (@p84 @p83 @p82) :args (@t212)) % 8.32/8.59 (step @p86 :rule quant-miniscope-or :args ((= @t210 @t212))) % 8.32/8.59 (step @p87 :rule trans :premises (@p86 @p85)) % 8.32/8.59 (step @p88 :rule symm :premises (@p87)) % 8.32/8.59 (step @p89 :rule cong :premises (@p88) :args ((forall @t41 @t214))) % 8.32/8.59 (step @p90 :rule trans :premises (@p89 @p81)) % 8.32/8.59 (step @p91 :rule trans :premises (@p90 @p80)) % 8.32/8.59 (step @p92 :rule aci_norm :args ((= (or (or @t191 @t186) @t213) @t214))) % 8.32/8.59 (step @p93 :rule refl :args (@t213)) % 8.32/8.59 (step @p94 :rule bool-and-de-morgan :args (@t190 @t185 true)) % 8.32/8.59 (step @p95 :rule nary_cong :premises (@p94 @p93) :args ((or (not @t215) @t213))) % 8.32/8.59 (step @p96 :rule trans :premises (@p95 @p92)) % 8.32/8.59 (step @p97 :rule bool-impl-elim :args (@t215 @t213)) % 8.32/8.59 (step @p98 :rule trans :premises (@p97 @p96)) % 8.32/8.59 (step @p99 :rule cong :premises (@p98) :args ((forall @t41 (=> @t215 @t213)))) % 8.32/8.59 (step @p100 :rule trans :premises (@p99 @p91)) % 8.32/8.59 (step @p101 :rule refl :args (@t180)) % 8.32/8.59 (step @p102 :rule refl :args (@t3)) % 8.32/8.59 (step @p103 :rule cong :premises (@p102 @p101) :args ((= @t3 @t180))) % 8.32/8.59 (step @p104 :rule symm :premises (@p103)) % 8.32/8.59 (step @p105 :rule eq_resolve :premises (@p102 @p104)) % 8.32/8.59 (step @p106 :rule refl :args (@t95)) % 8.32/8.59 (step @p107 :rule refl :args (@t189)) % 8.32/8.59 (step @p108 :rule nary_cong :premises (@p107 @p106 @p105) :args (@t216)) % 8.32/8.59 (step @p109 :rule cong :premises (@p108) :args ((forall @t26 @t216))) % 8.32/8.59 (step @p110 :rule aci_norm :args ((= (or @t217 @t3) @t216))) % 8.32/8.59 (step @p111 :rule bool-and-de-morgan :args (@t188 @t94 true)) % 8.32/8.59 (step @p112 :rule nary_cong :premises (@p111 @p102) :args ((or @t219 @t3))) % 8.32/8.59 (step @p113 :rule trans :premises (@p112 @p110)) % 8.32/8.59 (step @p114 :rule bool-impl-elim :args (@t218 @t3)) % 8.32/8.59 (step @p115 :rule trans :premises (@p114 @p113)) % 8.32/8.59 (step @p116 :rule cong :premises (@p115) :args ((forall @t26 (=> @t218 @t3)))) % 8.32/8.59 (step @p117 :rule trans :premises (@p116 @p109)) % 8.32/8.59 (step @p118 :rule refl :args (@t3)) % 8.32/8.59 (step @p119 :rule refl :args (@t91)) % 8.32/8.59 (step @p120 :rule refl :args (@t5)) % 8.32/8.59 (step @p121 :rule cong :premises (@p120 @p119) :args ((= @t5 @t91))) % 8.32/8.59 (step @p122 :rule symm :premises (@p121)) % 8.32/8.59 (step @p123 :rule eq_resolve :premises (@p120 @p122)) % 8.32/8.59 (step @p124 :rule refl :args (@t77)) % 8.32/8.59 (step @p125 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(step @p450 :rule nary_cong :premises (@p449 @p448) :args ((or (not @t314) @t313))) % 8.32/8.59 (assume-push @p598 @t314) % 8.32/8.59 (step @p452 :rule skolemize :premises (@p598)) % 8.32/8.59 (step-pop @p599 :rule scope :premises (@p452)) % 8.32/8.59 (step @p453 :rule process_scope :premises (@p599) :args (@t313)) % 8.32/8.59 (step @p455 :rule implies_elim :premises (@p453)) % 8.32/8.59 (step @p456 :rule eq_resolve :premises (@p455 @p450)) % 8.32/8.59 (step @p457 :rule chain_m_resolution :premises (@p456 @p447) :args (@t299 @t309 (@list @t311))) % 8.32/8.59 (step @p458 :rule bool-double-not-elim :args (@t278)) % 8.32/8.59 (step @p459 :rule nary_cong :premises (@p418 @p458) :args ((or @t286 (not @t279)))) % 8.32/8.59 (step @p460 :rule cnf_or_neg :args (@t286 1)) % 8.32/8.59 (step @p461 :rule eq_resolve :premises (@p460 @p459)) % 8.32/8.59 (step @p462 :rule reordering :premises (@p461) :args ((or @t278 @t286))) % 8.32/8.59 (step @p463 :rule chain_m_resolution :premises (@p462 @p414) 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(step @p478 :rule reordering :premises (@p477) :args ((or @t319 (not @t320)))) % 8.32/8.59 (step @p479 :rule cnf_or_pos :args (@t321)) % 8.32/8.59 (step @p480 :rule reordering :premises (@p479) :args ((or @t317 @t320 @t324))) % 8.32/8.59 (step @p481 :rule chain_m_resolution :premises (@p480 @p478 @p476 @p475) :args ((or @t323 @t324) @t297 (@list @t320 @t317 @t318))) % 8.32/8.59 (step @p482 :rule chain_m_resolution :premises (@p481 @p469) :args (@t323 @t309 (@list @t321))) % 8.32/8.59 (step @p483 :rule refl :args (@t325)) % 8.32/8.59 (step @p484 :rule bool-double-not-elim :args (@t315)) % 8.32/8.59 (step @p485 :rule nary_cong :premises (@p484 @p483) :args ((or (not @t326) @t325))) % 8.32/8.59 (assume-push @p602 @t326) % 8.32/8.59 (step @p487 :rule skolemize :premises (@p602)) % 8.32/8.59 (step-pop @p603 :rule scope :premises (@p487)) % 8.32/8.59 (step @p488 :rule process_scope :premises (@p603) :args (@t325)) % 8.32/8.59 (step @p490 :rule implies_elim :premises (@p488)) % 8.32/8.59 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@p584 :rule reordering :premises (@p583) :args ((or @t351 @t346 @t355 (not @t357)))) % 8.32/8.59 (step @p585 false :rule chain_m_resolution :premises (@p584 @p582 @p576 @p567 @p565) :args (false @t343 (@list @t357 @t355 @t346 @t350))) % 8.32/8.59 ) % 8.32/8.59 % SZS output end Proof % 8.32/8.59 % cvc5 exiting %------------------------------------------------------------------------------