%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV157^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.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 39.58s 39.85s % Output : Proof 39.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV157^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n001.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 18:17:20 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TH0 % 39.58/39.85 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 39.58/39.85 % SZS status Theorem % 39.58/39.85 % SZS output start Proof % 39.58/39.85 ( % 39.58/39.85 (declare-sort tptp.a 0) % 39.58/39.85 (define @t1 () (@var "Xy" tptp.a)) % 39.58/39.85 (define @t2 () (@var "Xx" tptp.a)) % 39.58/39.85 (define @t3 () (@var "Xp1" (-> tptp.a tptp.a Bool))) % 39.58/39.85 (define @t4 () (_ (_ @t3 @t2) @t1)) % 39.58/39.85 (define @t5 () (@var "Xz" tptp.a)) % 39.58/39.85 (define @t6 () (@var "Xx0" tptp.a)) % 39.58/39.85 (define @t7 () (_ @t3 @t6)) % 39.58/39.85 (define @t8 () (_ @t7 @t5)) % 39.58/39.85 (define @t9 () (@var "Xy0" tptp.a)) % 39.58/39.85 (define @t10 () (_ (_ @t3 @t9) @t5)) % 39.58/39.85 (define @t11 () (_ @t7 @t9)) % 39.58/39.85 (define @t12 () (and @t11 @t10)) % 39.58/39.85 (define @t13 () (@list @t6 @t9 @t5)) % 39.58/39.85 (define @t14 () (forall @t13 (=> @t12 @t8))) % 39.58/39.85 (define @t15 () (@var "S" (-> tptp.a tptp.a Bool))) % 39.58/39.85 (define @t16 () (_ (_ @t15 @t6) @t9)) % 39.58/39.85 (define @t17 () (@var "R" (-> tptp.a tptp.a Bool))) % 39.58/39.85 (define @t18 () (_ (_ @t17 @t6) @t9)) % 39.58/39.85 (define @t19 () (or @t18 @t16)) % 39.58/39.85 (define @t20 () (@list @t6 @t9)) % 39.58/39.85 (define @t21 () (forall @t20 (=> @t19 @t11))) % 39.58/39.85 (define @t22 () (and @t21 @t14)) % 39.58/39.85 (define @t23 () (=> @t22 @t4)) % 39.58/39.85 (define @t24 () (@list @t3)) % 39.58/39.85 (define @t25 () (forall @t24 @t23)) % 39.58/39.85 (define @t26 () (@var "Xz0" tptp.a)) % 39.58/39.85 (define @t27 () (@var "Xx1" tptp.a)) % 39.58/39.85 (define @t28 () (_ @t3 @t27)) % 39.58/39.85 (define @t29 () (_ @t28 @t26)) % 39.58/39.85 (define @t30 () (@var "Xy1" tptp.a)) % 39.58/39.85 (define @t31 () (_ @t3 @t30)) % 39.58/39.85 (define @t32 () (_ @t31 @t26)) % 39.58/39.85 (define @t33 () (_ @t28 @t30)) % 39.58/39.85 (define @t34 () (and @t33 @t32)) % 39.58/39.85 (define @t35 () (@list @t27 @t30 @t26)) % 39.58/39.85 (define @t36 () (forall @t35 (=> @t34 @t29))) % 39.58/39.85 (define @t37 () (_ (_ @t15 @t27) @t30)) % 39.58/39.85 (define @t38 () (_ (_ @t17 @t27) @t30)) % 39.58/39.85 (define @t39 () (or @t38 @t37)) % 39.58/39.85 (define @t40 () (@list @t27 @t30)) % 39.58/39.85 (define @t41 () (forall @t40 (=> @t39 @t33))) % 39.58/39.85 (define @t42 () (and @t41 @t36)) % 39.58/39.85 (define @t43 () (=> @t42 @t8)) % 39.58/39.85 (define @t44 () (forall @t24 @t43)) % 39.58/39.85 (define @t45 () (=> @t42 @t10)) % 39.58/39.85 (define @t46 () (forall @t24 @t45)) % 39.58/39.85 (define @t47 () (=> @t42 @t11)) % 39.58/39.85 (define @t48 () (forall @t24 @t47)) % 39.58/39.85 (define @t49 () (and @t48 @t46)) % 39.58/39.85 (define @t50 () (=> @t49 @t44)) % 39.58/39.85 (define @t51 () (forall @t13 @t50)) % 39.58/39.85 (define @t52 () (_ @t28 @t5)) % 39.58/39.85 (define @t53 () (_ @t31 @t5)) % 39.58/39.85 (define @t54 () (and @t33 @t53)) % 39.58/39.85 (define @t55 () (@list @t27 @t30 @t5)) % 39.58/39.85 (define @t56 () (forall @t55 (=> @t54 @t52))) % 39.58/39.85 (define @t57 () (and @t41 @t56)) % 39.58/39.85 (define @t58 () (=> @t57 @t11)) % 39.58/39.85 (define @t59 () (forall @t24 @t58)) % 39.58/39.85 (define @t60 () (forall @t40 (=> @t37 @t33))) % 39.58/39.85 (define @t61 () (and @t60 @t56)) % 39.58/39.85 (define @t62 () (=> @t61 @t11)) % 39.58/39.85 (define @t63 () (forall @t24 @t62)) % 39.58/39.85 (define @t64 () (forall @t40 (=> @t38 @t33))) % 39.58/39.85 (define @t65 () (and @t64 @t56)) % 39.58/39.85 (define @t66 () (=> @t65 @t11)) % 39.58/39.85 (define @t67 () (forall @t24 @t66)) % 39.58/39.85 (define @t68 () (or @t67 @t63)) % 39.58/39.85 (define @t69 () (=> @t68 @t59)) % 39.58/39.85 (define @t70 () (forall @t20 @t69)) % 39.58/39.85 (define @t71 () (and @t70 @t51)) % 39.58/39.85 (define @t72 () (=> @t71 @t25)) % 39.58/39.85 (define @t73 () (not @t72)) % 39.58/39.85 (define @t74 () (or @t25 @t73)) % 39.58/39.85 (define @t75 () (@list @t17 @t15 @t2 @t1)) % 39.58/39.85 (define @t76 () (forall @t75 @t74)) % 39.58/39.85 (define @t77 () (not @t76)) % 39.58/39.85 (define @t78 () (@var "BOUND_VARIABLE_7701" (-> tptp.a tptp.a Bool))) % 39.58/39.85 (define @t79 () (_ @t78 @t2 @t1)) % 39.58/39.85 (define @t80 () (_ @t78 @t6 @t9)) % 39.58/39.85 (define @t81 () (not (forall @t13 (or (not @t80) (not (_ @t78 @t9 @t5)) (_ @t78 @t6 @t5))))) % 39.58/39.85 (define @t82 () (_ @t15 @t6 @t9)) % 39.58/39.85 (define @t83 () (_ @t17 @t6 @t9)) % 39.58/39.85 (define @t84 () (and (not @t83) (not @t82))) % 39.58/39.85 (define @t85 () (not (forall @t20 (or @t84 @t80)))) % 39.58/39.85 (define @t86 () (_ @t3 @t2 @t1)) % 39.58/39.85 (define @t87 () (_ @t3 @t6 @t5)) % 39.58/39.85 (define @t88 () (_ @t3 @t9 @t5)) % 39.58/39.85 (define @t89 () (_ @t3 @t6 @t9)) % 39.58/39.85 (define @t90 () (forall @t13 (or (not @t89) (not @t88) @t87))) % 39.58/39.85 (define @t91 () (not @t90)) % 39.58/39.85 (define @t92 () (forall @t20 (or @t84 @t89))) % 39.58/39.85 (define @t93 () (not @t92)) % 39.58/39.85 (define @t94 () (forall @t24 (or @t93 @t91 @t86))) % 39.58/39.85 (define @t95 () (not @t94)) % 39.58/39.85 (define @t96 () (@var "BOUND_VARIABLE_7747" tptp.a)) % 39.58/39.85 (define @t97 () (@var "BOUND_VARIABLE_7743" tptp.a)) % 39.58/39.85 (define @t98 () (@var "BOUND_VARIABLE_7749" (-> tptp.a tptp.a Bool))) % 39.58/39.85 (define @t99 () (_ @t98 @t27 @t30)) % 39.58/39.85 (define @t100 () (_ @t15 @t27 @t30)) % 39.58/39.85 (define @t101 () (not @t100)) % 39.58/39.85 (define @t102 () (_ @t17 @t27 @t30)) % 39.58/39.85 (define @t103 () (not @t102)) % 39.58/39.85 (define @t104 () (and @t103 @t101)) % 39.58/39.85 (define @t105 () (@var "BOUND_VARIABLE_7745" tptp.a)) % 39.58/39.85 (define @t106 () (_ @t3 @t27 @t26)) % 39.58/39.85 (define @t107 () (_ @t3 @t30 @t26)) % 39.58/39.85 (define @t108 () (_ @t3 @t27 @t30)) % 39.58/39.85 (define @t109 () (not @t108)) % 39.58/39.85 (define @t110 () (forall @t35 (or @t109 (not @t107) @t106))) % 39.58/39.85 (define @t111 () (not @t110)) % 39.58/39.85 (define @t112 () (forall @t40 (or @t104 @t108))) % 39.58/39.85 (define @t113 () (not @t112)) % 39.58/39.85 (define @t114 () (or (not (forall @t24 (or @t113 @t111 (_ @t3 @t97 @t105)))) (not (forall @t24 (or @t113 @t111 (_ @t3 @t105 @t96)))) (not (forall @t40 (or @t104 @t99))) (not (forall @t35 (or (not @t99) (not (_ @t98 @t30 @t26)) (_ @t98 @t27 @t26)))) (_ @t98 @t97 @t96))) % 39.58/39.85 (define @t115 () (@var "BOUND_VARIABLE_7718" tptp.a)) % 39.58/39.85 (define @t116 () (@var "BOUND_VARIABLE_7716" tptp.a)) % 39.58/39.85 (define @t117 () (@var "BOUND_VARIABLE_7720" (-> tptp.a tptp.a Bool))) % 39.58/39.85 (define @t118 () (_ @t117 @t27 @t30)) % 39.58/39.85 (define @t119 () (_ @t3 @t116 @t115)) % 39.58/39.85 (define @t120 () (_ @t3 @t27 @t5)) % 39.58/39.85 (define @t121 () (_ @t3 @t30 @t5)) % 39.58/39.85 (define @t122 () (forall @t55 (or @t109 (not @t121) @t120))) % 39.58/39.85 (define @t123 () (not @t122)) % 39.58/39.85 (define @t124 () (forall @t40 (or @t101 @t108))) % 39.58/39.85 (define @t125 () (not @t124)) % 39.58/39.85 (define @t126 () (forall @t40 (or @t103 @t108))) % 39.58/39.85 (define @t127 () (not @t126)) % 39.58/39.85 (define @t128 () (or (and (not (forall @t24 (or @t127 @t123 @t119))) (not (forall @t24 (or @t125 @t123 @t119)))) (not (forall @t40 (or @t104 @t118))) (not (forall @t55 (or (not @t118) (not (_ @t117 @t30 @t5)) (_ @t117 @t27 @t5)))) (_ @t117 @t116 @t115))) % 39.58/39.85 (define @t129 () (and @t128 @t114 @t95)) % 39.58/39.85 (define @t130 () (or @t129 @t85 @t81 @t79)) % 39.58/39.85 (define @t131 () (@list @t17 @t15 @t2 @t1 @t78 @t116 @t115 @t117 @t97 @t105 @t96 @t98)) % 39.58/39.85 (define @t132 () (forall @t131 @t130)) % 39.58/39.85 (define @t133 () (@quantifiers_skolemize @t132 9)) % 39.58/39.85 (define @t134 () (@quantifiers_skolemize @t132 8)) % 39.58/39.85 (define @t135 () (@quantifiers_skolemize @t132 1)) % 39.58/39.85 (define @t136 () (not (_ @t135 @t27 @t30))) % 39.58/39.85 (define @t137 () (@quantifiers_skolemize @t132 0)) % 39.58/39.85 (define @t138 () (not (_ @t137 @t27 @t30))) % 39.58/39.85 (define @t139 () (and @t138 @t136)) % 39.58/39.85 (define @t140 () (not (forall @t40 (or @t139 @t108)))) % 39.58/39.85 (define @t141 () (forall @t24 (or @t140 @t111 (_ @t3 @t134 @t133)))) % 39.58/39.85 (define @t142 () (@quantifiers_skolemize @t132 10)) % 39.58/39.85 (define @t143 () (@quantifiers_skolemize @t132 11)) % 39.58/39.85 (define @t144 () (_ @t143 @t134 @t142)) % 39.58/39.85 (define @t145 () (_ @t143 @t27 @t26)) % 39.58/39.85 (define @t146 () (_ @t143 @t30 @t26)) % 39.58/39.85 (define @t147 () (_ @t143 @t27 @t30)) % 39.58/39.85 (define @t148 () (forall @t35 (or (not @t147) (not @t146) @t145))) % 39.58/39.85 (define @t149 () (not @t148)) % 39.58/39.85 (define @t150 () (forall @t40 (or @t139 @t147))) % 39.58/39.85 (define @t151 () (not @t150)) % 39.58/39.85 (define @t152 () (forall @t24 (or @t140 @t111 (_ @t3 @t133 @t142)))) % 39.58/39.85 (define @t153 () (not @t152)) % 39.58/39.85 (define @t154 () (not @t141)) % 39.58/39.85 (define @t155 () (or @t154 @t153 @t151 @t149 @t144)) % 39.58/39.85 (define @t156 () (_ @t143 @t134 @t133)) % 39.58/39.85 (define @t157 () (@var "BOUND_VARIABLE_125678" tptp.a)) % 39.58/39.85 (define @t158 () (@var "BOUND_VARIABLE_125677" tptp.a)) % 39.58/39.85 (define @t159 () (lambda (@list @t158 @t157) (_ @t143 @t158 @t157))) % 39.58/39.85 (define @t160 () (_ @t159 @t134 @t133)) % 39.58/39.85 (define @t161 () (_ @t159 @t27 @t26)) % 39.58/39.85 (define @t162 () (_ @t159 @t30 @t26)) % 39.58/39.85 (define @t163 () (not @t162)) % 39.58/39.85 (define @t164 () (_ @t159 @t27 @t30)) % 39.58/39.85 (define @t165 () (not @t164)) % 39.58/39.85 (define @t166 () (or @t165 @t163 @t161)) % 39.58/39.85 (define @t167 () (forall @t35 @t166)) % 39.58/39.85 (define @t168 () (not @t167)) % 39.58/39.85 (define @t169 () (or @t139 @t164)) % 39.58/39.85 (define @t170 () (forall @t40 @t169)) % 39.58/39.85 (define @t171 () (not @t170)) % 39.58/39.85 (define @t172 () (or @t171 @t168 @t160)) % 39.58/39.85 (define @t173 () (_ @t143 @t133 @t142)) % 39.58/39.85 (define @t174 () (@var "BOUND_VARIABLE_272365" tptp.a)) % 39.58/39.85 (define @t175 () (@var "BOUND_VARIABLE_272364" tptp.a)) % 39.58/39.85 (define @t176 () (lambda (@list @t175 @t174) (_ @t143 @t175 @t174))) % 39.58/39.85 (define @t177 () (_ @t176 @t133 @t142)) % 39.58/39.85 (define @t178 () (_ @t176 @t27 @t26)) % 39.58/39.85 (define @t179 () (_ @t176 @t30 @t26)) % 39.58/39.85 (define @t180 () (not @t179)) % 39.58/39.85 (define @t181 () (_ @t176 @t27 @t30)) % 39.58/39.85 (define @t182 () (not @t181)) % 39.58/39.85 (define @t183 () (or @t182 @t180 @t178)) % 39.58/39.85 (define @t184 () (forall @t35 @t183)) % 39.58/39.85 (define @t185 () (not @t184)) % 39.58/39.85 (define @t186 () (or @t139 @t181)) % 39.58/39.85 (define @t187 () (forall @t40 @t186)) % 39.58/39.85 (define @t188 () (not @t187)) % 39.58/39.85 (define @t189 () (or @t188 @t185 @t177)) % 39.58/39.85 (define @t190 () (or @t151 @t149 @t156)) % 39.58/39.85 (define @t191 () (or @t151 @t149 @t173)) % 39.58/39.85 (define @t192 () (not @t173)) % 39.58/39.85 (define @t193 () (not @t156)) % 39.58/39.85 (define @t194 () (or @t193 @t192 @t144)) % 39.58/39.85 (define @t195 () (or @t85 @t81 @t79)) % 39.58/39.85 (define @t196 () (or @t195 @t129)) % 39.58/39.85 (define @t197 () (forall @t131 @t196)) % 39.58/39.85 (define @t198 () (forall (@list @t78 @t116 @t115 @t117 @t97 @t105 @t96 @t98) @t196)) % 39.58/39.85 (define @t199 () (@list @t116 @t115 @t117 @t97 @t105 @t96 @t98)) % 39.58/39.85 (define @t200 () (forall @t199 @t95)) % 39.58/39.85 (define @t201 () (forall (@list @t97 @t105 @t96 @t98) @t114)) % 39.58/39.85 (define @t202 () (@var "BOUND_VARIABLE_7672" (-> tptp.a tptp.a Bool))) % 39.58/39.85 (define @t203 () (forall @t199 @t114)) % 39.58/39.85 (define @t204 () (forall (@list @t116 @t115 @t117) @t128)) % 39.58/39.85 (define @t205 () (@var "BOUND_VARIABLE_7611" (-> tptp.a tptp.a Bool))) % 39.58/39.85 (define @t206 () (forall @t199 @t128)) % 39.58/39.85 (define @t207 () (and @t206 @t203 @t200)) % 39.58/39.85 (define @t208 () (forall @t199 @t129)) % 39.58/39.85 (define @t209 () (forall (@list @t78) @t195)) % 39.58/39.85 (define @t210 () (@list @t3)) % 39.58/39.85 (define @t211 () (or @t209 @t208)) % 39.58/39.85 (define @t212 () (_ @t202 @t6 @t5)) % 39.58/39.85 (define @t213 () (_ @t202 @t27 @t30)) % 39.58/39.85 (define @t214 () (not (forall @t35 (or (not @t213) (not (_ @t202 @t30 @t26)) (_ @t202 @t27 @t26))))) % 39.58/39.85 (define @t215 () (not (forall @t40 (or @t104 @t213)))) % 39.58/39.85 (define @t216 () (forall @t24 (or @t113 @t111 @t88))) % 39.58/39.85 (define @t217 () (not @t216)) % 39.58/39.85 (define @t218 () (forall @t24 (or @t113 @t111 @t89))) % 39.58/39.85 (define @t219 () (not @t218)) % 39.58/39.85 (define @t220 () (or @t219 @t217 @t215 @t214 @t212)) % 39.58/39.85 (define @t221 () (@list @t6 @t9 @t5 @t202)) % 39.58/39.85 (define @t222 () (forall @t221 @t220)) % 39.58/39.85 (define @t223 () (_ @t205 @t6 @t9)) % 39.58/39.85 (define @t224 () (_ @t205 @t27 @t30)) % 39.58/39.85 (define @t225 () (not (forall @t55 (or (not @t224) (not (_ @t205 @t30 @t5)) (_ @t205 @t27 @t5))))) % 39.58/39.85 (define @t226 () (not (forall @t40 (or @t104 @t224)))) % 39.58/39.85 (define @t227 () (forall @t24 (or @t125 @t123 @t89))) % 39.58/39.85 (define @t228 () (forall @t24 (or @t127 @t123 @t89))) % 39.58/39.85 (define @t229 () (and (not @t228) (not @t227))) % 39.58/39.85 (define @t230 () (or @t229 @t226 @t225 @t223)) % 39.58/39.85 (define @t231 () (@list @t6 @t9 @t205)) % 39.58/39.85 (define @t232 () (forall @t231 @t230)) % 39.58/39.85 (define @t233 () (and @t232 @t222 @t95)) % 39.58/39.85 (define @t234 () (and @t232 @t222)) % 39.58/39.85 (define @t235 () (or @t94 (not (=> @t234 @t94)))) % 39.58/39.85 (define @t236 () (or @t93 @t91 @t4)) % 39.58/39.85 (define @t237 () (and @t92 @t90)) % 39.58/39.85 (define @t238 () (not @t10)) % 39.58/39.85 (define @t239 () (not @t11)) % 39.58/39.85 (define @t240 () (or @t239 @t238 @t8)) % 39.58/39.85 (define @t241 () (not @t16)) % 39.58/39.85 (define @t242 () (not @t18)) % 39.58/39.85 (define @t243 () (and @t242 @t241)) % 39.58/39.85 (define @t244 () (or @t243 @t11)) % 39.58/39.85 (define @t245 () (or @t215 @t214 @t212)) % 39.58/39.85 (define @t246 () (or @t219 @t217 @t245)) % 39.58/39.85 (define @t247 () (forall @t221 @t246)) % 39.58/39.85 (define @t248 () (@list @t202)) % 39.58/39.85 (define @t249 () (forall @t248 @t246)) % 39.58/39.85 (define @t250 () (forall @t248 @t245)) % 39.58/39.85 (define @t251 () (or @t219 @t217 @t250)) % 39.58/39.85 (define @t252 () (forall @t24 (or @t113 @t111 @t87))) % 39.58/39.85 (define @t253 () (or @t219 @t217 @t252)) % 39.58/39.85 (define @t254 () (and @t218 @t216)) % 39.58/39.85 (define @t255 () (or @t113 @t111 @t8)) % 39.58/39.85 (define @t256 () (or @t113 @t111)) % 39.58/39.85 (define @t257 () (and @t112 @t110)) % 39.58/39.85 (define @t258 () (not @t257)) % 39.58/39.85 (define @t259 () (not @t32)) % 39.58/39.85 (define @t260 () (not @t33)) % 39.58/39.85 (define @t261 () (or @t260 @t259 @t29)) % 39.58/39.85 (define @t262 () (not @t37)) % 39.58/39.85 (define @t263 () (not @t38)) % 39.58/39.85 (define @t264 () (and @t263 @t262)) % 39.58/39.85 (define @t265 () (or @t264 @t33)) % 39.58/39.85 (define @t266 () (or @t113 @t111 @t10)) % 39.58/39.85 (define @t267 () (or @t113 @t111 @t11)) % 39.58/39.85 (define @t268 () (or @t226 @t225 @t223)) % 39.58/39.85 (define @t269 () (or @t229 @t268)) % 39.58/39.85 (define @t270 () (forall @t231 @t269)) % 39.58/39.85 (define @t271 () (@list @t205)) % 39.58/39.85 (define @t272 () (forall @t271 @t269)) % 39.58/39.85 (define @t273 () (forall @t271 @t268)) % 39.58/39.85 (define @t274 () (or @t229 @t273)) % 39.58/39.85 (define @t275 () (forall @t24 (or @t113 @t123 @t89))) % 39.58/39.85 (define @t276 () (or @t228 @t227)) % 39.58/39.85 (define @t277 () (or @t113 @t123 @t11)) % 39.58/39.85 (define @t278 () (and @t112 @t122)) % 39.58/39.85 (define @t279 () (not @t53)) % 39.58/39.85 (define @t280 () (or @t260 @t279 @t52)) % 39.58/39.85 (define @t281 () (or @t125 @t123 @t11)) % 39.58/39.85 (define @t282 () (and @t124 @t122)) % 39.58/39.85 (define @t283 () (or @t262 @t33)) % 39.58/39.85 (define @t284 () (or @t127 @t123 @t11)) % 39.58/39.85 (define @t285 () (and @t126 @t122)) % 39.58/39.85 (define @t286 () (or @t263 @t33)) % 39.58/39.85 (define @t287 () (@quantifiers_skolemize @t132 3)) % 39.58/39.85 (define @t288 () (@quantifiers_skolemize @t132 2)) % 39.58/39.85 (define @t289 () (@quantifiers_skolemize @t132 4)) % 39.58/39.85 (define @t290 () (_ @t289 @t288 @t287)) % 39.58/39.85 (define @t291 () (_ @t289 @t6 @t9)) % 39.58/39.85 (define @t292 () (forall @t13 (or (not @t291) (not (_ @t289 @t9 @t5)) (_ @t289 @t6 @t5)))) % 39.58/39.85 (define @t293 () (not @t292)) % 39.58/39.85 (define @t294 () (and (not (_ @t137 @t6 @t9)) (not (_ @t135 @t6 @t9)))) % 39.58/39.85 (define @t295 () (forall @t20 (or @t294 @t291))) % 39.58/39.85 (define @t296 () (not @t295)) % 39.58/39.85 (define @t297 () (forall @t24 (or (not (forall @t20 (or @t294 @t89))) @t91 (_ @t3 @t288 @t287)))) % 39.58/39.85 (define @t298 () (not @t297)) % 39.58/39.85 (define @t299 () (@quantifiers_skolemize @t132 6)) % 39.58/39.85 (define @t300 () (@quantifiers_skolemize @t132 5)) % 39.58/39.85 (define @t301 () (@quantifiers_skolemize @t132 7)) % 39.58/39.85 (define @t302 () (_ @t301 @t300 @t299)) % 39.58/39.85 (define @t303 () (_ @t301 @t27 @t30)) % 39.58/39.85 (define @t304 () (forall @t55 (or (not @t303) (not (_ @t301 @t30 @t5)) (_ @t301 @t27 @t5)))) % 39.58/39.85 (define @t305 () (not @t304)) % 39.58/39.85 (define @t306 () (forall @t40 (or @t139 @t303))) % 39.58/39.85 (define @t307 () (not @t306)) % 39.58/39.85 (define @t308 () (_ @t3 @t300 @t299)) % 39.58/39.85 (define @t309 () (forall @t24 (or (not (forall @t40 (or @t136 @t108))) @t123 @t308))) % 39.58/39.85 (define @t310 () (not @t309)) % 39.58/39.85 (define @t311 () (forall @t24 (or (not (forall @t40 (or @t138 @t108))) @t123 @t308))) % 39.58/39.85 (define @t312 () (not @t311)) % 39.58/39.85 (define @t313 () (and @t312 @t310)) % 39.58/39.85 (define @t314 () (or @t313 @t307 @t305 @t302)) % 39.58/39.85 (define @t315 () (and @t314 @t155 @t298)) % 39.58/39.85 (define @t316 () (or @t315 @t296 @t293 @t290)) % 39.58/39.85 (define @t317 () (@list true)) % 39.58/39.85 (define @t318 () (@list @t316)) % 39.58/39.85 (define @t319 () (or @t296 @t293 @t290)) % 39.58/39.85 (define @t320 () (not @t319)) % 39.58/39.85 (define @t321 () (not @t155)) % 39.58/39.85 (define @t322 () (not @t314)) % 39.58/39.85 (define @t323 () (@list true true false)) % 39.58/39.85 (define @t324 () (@list @t314)) % 39.58/39.85 (define @t325 () (forall @t40 (or @t138 @t303))) % 39.58/39.85 (define @t326 () (@quantifiers_skolemize @t325 1)) % 39.58/39.85 (define @t327 () (@quantifiers_skolemize @t325 0)) % 39.58/39.85 (define @t328 () (_ @t301 @t327 @t326)) % 39.58/39.85 (define @t329 () (_ @t137 @t327 @t326)) % 39.58/39.85 (define @t330 () (not @t329)) % 39.58/39.85 (define @t331 () (and @t330 (not (_ @t135 @t327 @t326)))) % 39.58/39.85 (define @t332 () (or @t331 @t328)) % 39.58/39.85 (define @t333 () (@list false)) % 39.58/39.85 (define @t334 () (or @t330 @t328)) % 39.58/39.85 (define @t335 () (not @t332)) % 39.58/39.85 (define @t336 () (not @t334)) % 39.58/39.85 (define @t337 () (not @t325)) % 39.58/39.85 (define @t338 () (or @t337 @t305 @t302)) % 39.58/39.85 (define @t339 () (not @t338)) % 39.58/39.85 (define @t340 () (@list false true false)) % 39.58/39.85 (define @t341 () (@list @t301)) % 39.58/39.85 (define @t342 () (@list true true)) % 39.58/39.85 (define @t343 () (forall @t40 (or @t136 @t303))) % 39.58/39.85 (define @t344 () (not @t343)) % 39.58/39.85 (define @t345 () (or @t344 @t305 @t302)) % 39.58/39.85 (define @t346 () (@quantifiers_skolemize @t343 1)) % 39.58/39.85 (define @t347 () (@quantifiers_skolemize @t343 0)) % 39.58/39.85 (define @t348 () (_ @t301 @t347 @t346)) % 39.58/39.85 (define @t349 () (_ @t135 @t347 @t346)) % 39.58/39.85 (define @t350 () (not @t349)) % 39.58/39.85 (define @t351 () (or @t350 @t348)) % 39.58/39.85 (define @t352 () (not @t351)) % 39.58/39.85 (define @t353 () (@list @t351)) % 39.58/39.85 (define @t354 () (and (not (_ @t137 @t347 @t346)) @t350)) % 39.58/39.85 (define @t355 () (not @t354)) % 39.58/39.85 (define @t356 () (or @t354 @t348)) % 39.58/39.85 (define @t357 () (not @t356)) % 39.58/39.85 (assume @p1 @t77) % 39.58/39.85 (assume @p2 true) % 39.58/39.85 (step @p3 :rule bool-double-not-elim :args (@t141)) % 39.58/39.85 (step @p4 :rule refl :args (@t155)) % 39.58/39.85 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t155 (not @t154)))) % 39.58/39.85 (step @p6 :rule cnf_or_neg :args (@t155 0)) % 39.58/39.85 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 39.58/39.85 (step @p8 :rule reordering :premises (@p7) :args ((or @t141 @t155))) % 39.58/39.85 (step @p9 :rule bool-double-not-elim :args (@t152)) % 39.58/39.85 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t155 (not @t153)))) % 39.58/39.85 (step @p11 :rule cnf_or_neg :args (@t155 1)) % 39.58/39.85 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 39.58/39.85 (step @p13 :rule reordering :premises (@p12) :args ((or @t152 @t155))) % 39.58/39.85 (step @p14 :rule bool-double-not-elim :args (@t150)) % 39.58/39.85 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t155 (not @t151)))) % 39.58/39.85 (step @p16 :rule cnf_or_neg :args (@t155 2)) % 39.58/39.85 (step @p17 :rule eq_resolve :premises (@p16 @p15)) % 39.58/39.85 (step @p18 :rule reordering :premises (@p17) :args ((or @t150 @t155))) % 39.58/39.85 (step @p19 :rule bool-double-not-elim :args (@t148)) % 39.58/39.85 (step @p20 :rule nary_cong :premises (@p4 @p19) :args ((or @t155 (not @t149)))) % 39.58/39.85 (step @p21 :rule cnf_or_neg :args (@t155 3)) % 39.58/39.85 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 39.58/39.85 (step @p23 :rule reordering :premises (@p22) :args ((or @t148 @t155))) % 39.58/39.85 (step @p24 :rule cnf_or_neg :args (@t155 4)) % 39.58/39.85 (step @p25 :rule beta-reduce :args ((= @t160 @t156))) % 39.58/39.85 (step @p26 :rule beta-reduce :args ((= @t161 @t145))) % 39.58/39.85 (step @p27 :rule beta-reduce :args ((= @t162 @t146))) % 39.58/39.85 (step @p28 :rule cong :premises (@p27) :args (@t163)) % 39.58/39.85 (step @p29 :rule beta-reduce :args ((= @t164 @t147))) % 39.58/39.85 (step @p30 :rule cong :premises (@p29) :args (@t165)) % 39.58/39.85 (step @p31 :rule nary_cong :premises (@p30 @p28 @p26) :args (@t166)) % 39.58/39.85 (step @p32 :rule cong :premises (@p31) :args (@t167)) % 39.58/39.85 (step @p33 :rule cong :premises (@p32) :args (@t168)) % 39.58/39.85 (step @p34 :rule refl :args (@t139)) % 39.58/39.85 (step @p35 :rule nary_cong :premises (@p34 @p29) :args (@t169)) % 39.58/39.85 (step @p36 :rule cong :premises (@p35) :args (@t170)) % 39.58/39.85 (step @p37 :rule cong :premises (@p36) :args (@t171)) % 39.58/39.85 (step @p38 :rule nary_cong :premises (@p37 @p33 @p25) :args (@t172)) % 39.58/39.85 (step @p39 :rule refl :args (@t141)) % 39.58/39.85 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t141 @t172))) % 39.58/39.85 (assume-push @p541 @t141) % 39.58/39.85 (step @p42 :rule instantiate :premises (@p541) :args ((@list @t159))) % 39.58/39.85 (step-pop @p542 :rule scope :premises (@p42)) % 39.58/39.85 (step @p43 :rule process_scope :premises (@p542) :args (@t172)) % 39.58/39.85 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 39.58/39.85 (step @p46 :rule implies_elim :premises (@p45)) % 39.58/39.85 (step @p47 :rule beta-reduce :args ((= @t177 @t173))) % 39.58/39.85 (step @p48 :rule beta-reduce :args ((= @t178 @t145))) % 39.58/39.85 (step @p49 :rule beta-reduce :args ((= @t179 @t146))) % 39.58/39.85 (step @p50 :rule cong :premises (@p49) :args (@t180)) % 39.58/39.85 (step @p51 :rule beta-reduce :args ((= @t181 @t147))) % 39.58/39.85 (step @p52 :rule cong :premises (@p51) :args (@t182)) % 39.58/39.85 (step @p53 :rule nary_cong :premises (@p52 @p50 @p48) :args (@t183)) % 39.58/39.85 (step @p54 :rule cong :premises (@p53) :args (@t184)) % 39.58/39.85 (step @p55 :rule cong :premises (@p54) :args (@t185)) % 39.58/39.85 (step @p56 :rule nary_cong :premises (@p34 @p51) :args (@t186)) % 39.58/39.85 (step @p57 :rule cong :premises (@p56) :args (@t187)) % 39.58/39.85 (step @p58 :rule cong :premises (@p57) :args (@t188)) % 39.58/39.85 (step @p59 :rule nary_cong :premises (@p58 @p55 @p47) :args (@t189)) % 39.58/39.85 (step @p60 :rule refl :args (@t152)) % 39.58/39.85 (step @p61 :rule cong :premises (@p60 @p59) :args ((=> @t152 @t189))) % 39.58/39.85 (assume-push @p543 @t152) % 39.58/39.85 (step @p63 :rule instantiate :premises (@p543) :args ((@list @t176))) % 39.58/39.85 (step-pop @p544 :rule scope :premises (@p63)) % 39.58/39.85 (step @p64 :rule process_scope :premises (@p544) :args (@t189)) % 39.58/39.85 (step @p66 :rule eq_resolve :premises (@p64 @p61)) % 39.58/39.85 (step @p67 :rule implies_elim :premises (@p66)) % 39.58/39.85 (step @p68 :rule cnf_or_pos :args (@t190)) % 39.58/39.85 (step @p69 :rule reordering :premises (@p68) :args ((or @t151 @t149 @t156 (not @t190)))) % 39.58/39.85 (step @p70 :rule cnf_or_pos :args (@t191)) % 39.58/39.85 (step @p71 :rule reordering :premises (@p70) :args ((or @t151 @t149 @t173 (not @t191)))) % 39.58/39.85 (assume-push @p545 @t148) % 39.58/39.85 (step @p73 :rule instantiate :premises (@p545) :args ((@list @t134 @t133 @t142))) % 39.58/39.85 (step-pop @p546 :rule scope :premises (@p73)) % 39.58/39.85 (step @p74 :rule process_scope :premises (@p546) :args (@t194)) % 39.58/39.85 (step @p76 :rule implies_elim :premises (@p74)) % 39.58/39.85 (step @p77 :rule cnf_or_pos :args (@t194)) % 39.58/39.85 (step @p78 :rule reordering :premises (@p77) :args ((or @t144 @t193 @t192 (not @t194)))) % 39.58/39.85 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p71 @p69 @p67 @p46 @p24 @p23 @p18 @p13 @p8) :args (@t155 (@list false false false false false true false false false false) (@list @t194 @t173 @t156 @t191 @t190 @t144 @t148 @t150 @t152 @t141))) % 39.58/39.85 (step @p80 :rule aci_norm :args ((= @t196 @t130))) % 39.58/39.85 (step @p81 :rule cong :premises (@p80) :args (@t197)) % 39.58/39.85 (step @p82 :rule quant-merge-prenex :args ((= (forall @t75 @t198) @t197))) % 39.58/39.85 (step @p83 :rule quant-unused-vars :args ((= @t200 @t95))) % 39.58/39.85 (step @p84 :rule alpha_equiv :args (@t201 (@list @t97 @t105 @t96 @t98) (@list @t6 @t9 @t5 @t202))) % 39.58/39.85 (step @p85 :rule quant-unused-vars :args ((= @t203 @t201))) % 39.58/39.85 (step @p86 :rule trans :premises (@p85 @p84)) % 39.58/39.85 (step @p87 :rule alpha_equiv :args (@t204 (@list @t116 @t115 @t117) (@list @t6 @t9 @t205))) % 39.58/39.85 (step @p88 :rule quant-unused-vars :args ((= @t206 @t204))) % 39.58/39.85 (step @p89 :rule trans :premises (@p88 @p87)) % 39.58/39.85 (step @p90 :rule nary_cong :premises (@p89 @p86 @p83) :args (@t207)) % 39.58/39.85 (step @p91 :rule quant-miniscope-and :args ((= @t208 @t207))) % 39.58/39.85 (step @p92 :rule trans :premises (@p91 @p90)) % 39.58/39.85 (step @p93 :rule alpha_equiv :args (@t209 (@list @t78) @t210)) % 39.58/39.85 (step @p94 :rule nary_cong :premises (@p93 @p92) :args (@t211)) % 39.58/39.85 (step @p95 :rule quant-miniscope-or :args ((= @t198 @t211))) % 39.58/39.85 (step @p96 :rule trans :premises (@p95 @p94)) % 39.58/39.85 (step @p97 :rule symm :premises (@p96)) % 39.58/39.85 (step @p98 :rule cong :premises (@p97) :args ((forall @t75 (or @t94 @t233)))) % 39.58/39.85 (step @p99 :rule trans :premises (@p98 @p82)) % 39.58/39.85 (step @p100 :rule trans :premises (@p99 @p81)) % 39.58/39.85 (step @p101 :rule aci_norm :args ((= (and @t234 @t95) @t233))) % 39.58/39.85 (step @p102 :rule bool-implies-de-morgan :args (@t234 @t94)) % 39.58/39.85 (step @p103 :rule trans :premises (@p102 @p101)) % 39.58/39.85 (step @p104 :rule refl :args (@t94)) % 39.58/39.85 (step @p105 :rule nary_cong :premises (@p104 @p103) :args (@t235)) % 39.58/39.85 (step @p106 :rule cong :premises (@p105) :args ((forall @t75 @t235))) % 39.58/39.85 (step @p107 :rule trans :premises (@p106 @p100)) % 39.58/39.85 (step @p108 :rule refl :args (@t86)) % 39.58/39.85 (step @p109 :rule refl :args (@t4)) % 39.58/39.85 (step @p110 :rule cong :premises (@p109 @p108) :args ((= @t4 @t86))) % 39.58/39.85 (step @p111 :rule symm :premises (@p110)) % 39.58/39.85 (step @p112 :rule eq_resolve :premises (@p109 @p111)) % 39.58/39.85 (step @p113 :rule refl :args (@t91)) % 39.58/39.85 (step @p114 :rule refl :args (@t93)) % 39.58/39.85 (step @p115 :rule nary_cong :premises (@p114 @p113 @p112) :args (@t236)) % 39.58/39.85 (step @p116 :rule cong :premises (@p115) :args ((forall @t24 @t236))) % 39.58/39.85 (step @p117 :rule aci_norm :args ((= (or (or @t93 @t91) @t4) @t236))) % 39.58/39.85 (step @p118 :rule bool-and-de-morgan :args (@t92 @t90 true)) % 39.58/39.85 (step @p119 :rule nary_cong :premises (@p118 @p109) :args ((or (not @t237) @t4))) % 39.58/39.85 (step @p120 :rule trans :premises (@p119 @p117)) % 39.58/39.85 (step @p121 :rule bool-impl-elim :args (@t237 @t4)) % 39.58/39.85 (step @p122 :rule trans :premises (@p121 @p120)) % 39.58/39.85 (step @p123 :rule cong :premises (@p122) :args ((forall @t24 (=> @t237 @t4)))) % 39.58/39.85 (step @p124 :rule trans :premises (@p123 @p116)) % 39.58/39.85 (step @p125 :rule refl :args (@t4)) % 39.58/39.85 (step @p126 :rule refl 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trans :premises (@p379 @p372)) % 39.58/39.85 (step @p381 :rule nary_cong :premises (@p251 @p228) :args (@t286)) % 39.58/39.85 (step @p382 :rule cong :premises (@p381) :args ((forall @t40 @t286))) % 39.58/39.85 (step @p383 :rule bool-impl-elim :args (@t38 @t33)) % 39.58/39.85 (step @p384 :rule cong :premises (@p383) :args (@t64)) % 39.58/39.85 (step @p385 :rule trans :premises (@p384 @p382)) % 39.58/39.85 (step @p386 :rule nary_cong :premises (@p385 @p345) :args (@t65)) % 39.58/39.85 (step @p387 :rule cong :premises (@p386 @p287) :args (@t66)) % 39.58/39.85 (step @p388 :rule cong :premises (@p387) :args (@t67)) % 39.58/39.85 (step @p389 :rule trans :premises (@p388 @p380)) % 39.58/39.85 (step @p390 :rule nary_cong :premises (@p389 @p369) :args (@t68)) % 39.58/39.85 (step @p391 :rule cong :premises (@p390 @p349) :args (@t69)) % 39.58/39.85 (step @p392 :rule cong :premises (@p391) :args (@t70)) % 39.58/39.85 (step @p393 :rule trans :premises (@p392 @p313)) % 39.58/39.85 (step @p394 :rule nary_cong :premises (@p393 @p294) :args (@t71)) % 39.58/39.85 (step @p395 :rule cong :premises (@p394 @p177) :args (@t72)) % 39.58/39.85 (step @p396 :rule cong :premises (@p395) :args (@t73)) % 39.58/39.85 (step @p397 :rule nary_cong :premises (@p177 @p396) :args (@t74)) % 39.58/39.85 (step @p398 :rule cong :premises (@p397) :args (@t76)) % 39.58/39.85 (step @p399 :rule trans :premises (@p398 @p107)) % 39.58/39.85 (step @p400 :rule cong :premises (@p399) :args (@t77)) % 39.58/39.85 (step @p401 :rule eq_resolve :premises (@p1 @p400)) % 39.58/39.85 (step @p402 :rule skolemize :premises (@p401)) % 39.58/39.85 (step @p403 :rule cnf_or_neg :args (@t316 0)) % 39.58/39.85 (step @p404 :rule chain_m_resolution :premises (@p403 @p402) :args ((not @t315) @t317 @t318)) % 39.58/39.85 (step @p405 :rule cnf_or_neg :args (@t316 3)) % 39.58/39.85 (step @p406 :rule chain_m_resolution :premises (@p405 @p402) :args ((not @t290) @t317 @t318)) % 39.58/39.85 (step @p407 :rule bool-double-not-elim :args (@t292)) % 39.58/39.85 (step @p408 :rule refl :args (@t316)) % 39.58/39.85 (step @p409 :rule nary_cong :premises (@p408 @p407) :args ((or @t316 (not @t293)))) % 39.58/39.85 (step @p410 :rule cnf_or_neg :args (@t316 2)) % 39.58/39.85 (step @p411 :rule eq_resolve :premises (@p410 @p409)) % 39.58/39.85 (step @p412 :rule reordering :premises (@p411) :args ((or @t292 @t316))) % 39.58/39.85 (step @p413 :rule chain_m_resolution :premises (@p412 @p402) :args (@t292 @t317 @t318)) % 39.58/39.85 (step @p414 :rule bool-double-not-elim :args (@t295)) % 39.58/39.85 (step @p415 :rule nary_cong :premises (@p408 @p414) :args ((or @t316 (not @t296)))) % 39.58/39.85 (step @p416 :rule cnf_or_neg :args (@t316 1)) % 39.58/39.85 (step @p417 :rule eq_resolve :premises (@p416 @p415)) % 39.58/39.85 (step @p418 :rule reordering :premises (@p417) :args ((or @t295 @t316))) % 39.58/39.85 (step @p419 :rule chain_m_resolution :premises (@p418 @p402) :args (@t295 @t317 @t318)) % 39.58/39.85 (step @p420 :rule cnf_or_pos :args (@t319)) % 39.58/39.85 (step @p421 :rule reordering :premises (@p420) :args ((or @t296 @t293 @t290 @t320))) % 39.58/39.85 (step @p422 :rule chain_m_resolution :premises (@p421 @p419 @p413 @p406) :args (@t320 (@list false false true) (@list @t295 @t292 @t290))) % 39.58/39.85 (assume-push @p547 @t297) % 39.58/39.85 (step @p424 :rule instantiate :premises (@p547) :args ((@list @t289))) % 39.58/39.85 (step-pop @p548 :rule scope :premises (@p424)) % 39.58/39.85 (step @p425 :rule process_scope :premises (@p548) :args (@t319)) % 39.58/39.85 (step @p427 :rule implies_elim :premises (@p425)) % 39.58/39.85 (step @p428 :rule chain_m_resolution :premises (@p427 @p422) :args (@t298 @t317 (@list @t319))) % 39.58/39.85 (step @p429 :rule bool-double-not-elim :args (@t297)) % 39.58/39.85 (step @p430 :rule refl :args (@t321)) % 39.58/39.85 (step @p431 :rule refl :args (@t322)) % 39.58/39.85 (step @p432 :rule refl :args (@t315)) % 39.58/39.85 (step @p433 :rule nary_cong :premises (@p432 @p431 @p430 @p429) :args ((or @t315 @t322 @t321 (not @t298)))) % 39.58/39.85 (step @p434 :rule cnf_and_neg :args (@t315)) % 39.58/39.85 (step @p435 :rule eq_resolve :premises (@p434 @p433)) % 39.58/39.85 (step @p436 :rule reordering :premises (@p435) :args ((or @t297 @t315 @t322 @t321))) % 39.58/39.85 (step @p437 :rule chain_m_resolution :premises (@p436 @p428 @p404 @p79) :args (@t322 @t323 (@list @t297 @t315 @t155))) % 39.58/39.85 (step @p438 :rule bool-double-not-elim :args (@t306)) % 39.58/39.85 (step @p439 :rule refl :args (@t314)) % 39.58/39.85 (step @p440 :rule nary_cong :premises (@p439 @p438) :args ((or @t314 (not @t307)))) % 39.58/39.85 (step @p441 :rule cnf_or_neg :args (@t314 1)) % 39.58/39.85 (step @p442 :rule eq_resolve :premises (@p441 @p440)) % 39.58/39.85 (step @p443 :rule reordering :premises (@p442) :args ((or @t306 @t314))) % 39.58/39.85 (step @p444 :rule chain_m_resolution :premises (@p443 @p437) :args (@t306 @t317 @t324)) % 39.58/39.85 (step @p445 :rule cnf_or_neg :args (@t314 0)) % 39.58/39.85 (step @p446 :rule chain_m_resolution :premises (@p445 @p437) :args ((not @t313) @t317 @t324)) % 39.58/39.85 (assume-push @p549 @t306) % 39.58/39.85 (step @p448 :rule instantiate :premises (@p549) :args ((@list @t327 @t326))) % 39.58/39.85 (step-pop @p550 :rule scope :premises (@p448)) % 39.58/39.85 (step @p449 :rule process_scope :premises (@p550) :args (@t332)) % 39.58/39.85 (step @p451 :rule implies_elim :premises (@p449)) % 39.58/39.85 (step @p452 :rule chain_m_resolution :premises (@p451 @p444) :args (@t332 @t333 (@list @t306))) % 39.58/39.85 (step @p453 :rule bool-double-not-elim :args (@t329)) % 39.58/39.85 (step @p454 :rule refl :args (@t334)) % 39.58/39.85 (step @p455 :rule nary_cong :premises (@p454 @p453) :args ((or @t334 (not @t330)))) % 39.58/39.85 (step @p456 :rule cnf_or_neg :args (@t334 0)) % 39.58/39.85 (step @p457 :rule eq_resolve :premises (@p456 @p455)) % 39.58/39.85 (step @p458 :rule reordering :premises (@p457) :args ((or @t329 @t334))) % 39.58/39.85 (step @p459 :rule cnf_or_neg :args (@t334 1)) % 39.58/39.85 (step @p460 :rule cnf_and_pos :args (@t331 0)) % 39.58/39.85 (step @p461 :rule reordering :premises (@p460) :args ((or @t330 (not @t331)))) % 39.58/39.85 (step @p462 :rule cnf_or_pos :args (@t332)) % 39.58/39.85 (step @p463 :rule reordering :premises (@p462) :args ((or @t328 @t331 @t335))) % 39.58/39.85 (step @p464 :rule chain_m_resolution :premises (@p463 @p461 @p459 @p458) :args ((or @t334 @t335) @t323 (@list @t331 @t328 @t329))) % 39.58/39.85 (step @p465 :rule chain_m_resolution :premises (@p464 @p452) :args (@t334 @t333 (@list @t332))) % 39.58/39.85 (step @p466 :rule refl :args (@t336)) % 39.58/39.85 (step @p467 :rule bool-double-not-elim :args (@t325)) % 39.58/39.85 (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or (not @t337) @t336))) % 39.58/39.85 (assume-push @p551 @t337) % 39.58/39.85 (step @p470 :rule skolemize :premises (@p551)) % 39.58/39.85 (step-pop @p552 :rule scope :premises (@p470)) % 39.58/39.85 (step @p471 :rule process_scope :premises (@p552) :args (@t336)) % 39.58/39.85 (step @p473 :rule implies_elim :premises (@p471)) % 39.58/39.85 (step @p474 :rule eq_resolve :premises (@p473 @p468)) % 39.58/39.85 (step @p475 :rule chain_m_resolution :premises (@p474 @p465) :args (@t325 @t333 (@list @t334))) % 39.58/39.85 (step @p476 :rule cnf_or_neg :args (@t314 3)) % 39.58/39.85 (step @p477 :rule chain_m_resolution :premises (@p476 @p437) :args ((not @t302) @t317 @t324)) % 39.58/39.85 (step @p478 :rule bool-double-not-elim :args (@t304)) % 39.58/39.85 (step @p479 :rule nary_cong :premises (@p439 @p478) :args ((or @t314 (not @t305)))) % 39.58/39.85 (step @p480 :rule cnf_or_neg :args (@t314 2)) % 39.58/39.85 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 39.58/39.85 (step @p482 :rule reordering :premises (@p481) :args ((or @t304 @t314))) % 39.58/39.85 (step @p483 :rule chain_m_resolution :premises (@p482 @p437) :args (@t304 @t317 @t324)) % 39.58/39.85 (step @p484 :rule cnf_or_pos :args (@t338)) % 39.58/39.85 (step @p485 :rule reordering :premises (@p484) :args ((or @t305 @t302 @t337 @t339))) % 39.58/39.85 (step @p486 :rule chain_m_resolution :premises (@p485 @p483 @p477 @p475) :args (@t339 @t340 (@list @t304 @t302 @t325))) % 39.58/39.85 (assume-push @p553 @t311) % 39.58/39.85 (step @p488 :rule instantiate :premises (@p553) :args (@t341)) % 39.58/39.85 (step-pop @p554 :rule scope :premises (@p488)) % 39.58/39.85 (step @p489 :rule process_scope :premises (@p554) :args (@t338)) % 39.58/39.85 (step @p491 :rule implies_elim :premises (@p489)) % 39.58/39.85 (step @p492 :rule chain_m_resolution :premises (@p491 @p486) :args (@t312 @t317 (@list @t338))) % 39.58/39.85 (step @p493 :rule bool-double-not-elim :args (@t309)) % 39.58/39.85 (step @p494 :rule bool-double-not-elim :args (@t311)) % 39.58/39.85 (step @p495 :rule refl :args (@t313)) % 39.58/39.85 (step @p496 :rule nary_cong :premises (@p495 @p494 @p493) :args ((or @t313 (not @t312) (not @t310)))) % 39.58/39.85 (step @p497 :rule cnf_and_neg :args (@t313)) % 39.58/39.85 (step @p498 :rule eq_resolve :premises (@p497 @p496)) % 39.58/39.85 (step @p499 :rule reordering :premises (@p498) :args ((or @t311 @t309 @t313))) % 39.58/39.85 (step @p500 :rule chain_m_resolution :premises (@p499 @p492 @p446) :args (@t309 @t342 (@list @t311 @t313))) % 39.58/39.85 (assume-push @p555 @t309) % 39.58/39.85 (step @p502 :rule instantiate :premises (@p555) :args (@t341)) % 39.58/39.85 (step-pop @p556 :rule scope :premises (@p502)) % 39.58/39.85 (step @p503 :rule process_scope :premises (@p556) :args (@t345)) % 39.58/39.85 (step @p505 :rule implies_elim :premises (@p503)) % 39.58/39.85 (step @p506 :rule chain_m_resolution :premises (@p505 @p500) :args (@t345 @t333 (@list @t309))) % 39.58/39.85 (step @p507 :rule cnf_or_pos :args (@t345)) % 39.58/39.85 (step @p508 :rule reordering :premises (@p507) :args ((or @t305 @t302 @t344 (not @t345)))) % 39.58/39.85 (step @p509 :rule chain_m_resolution :premises (@p508 @p483 @p477 @p506) :args (@t344 @t340 (@list @t304 @t302 @t345))) % 39.58/39.85 (step @p510 :rule refl :args (@t352)) % 39.58/39.85 (step @p511 :rule bool-double-not-elim :args (@t343)) % 39.58/39.85 (step @p512 :rule nary_cong :premises (@p511 @p510) :args ((or (not @t344) @t352))) % 39.58/39.85 (assume-push @p557 @t344) % 39.58/39.85 (step @p514 :rule skolemize :premises (@p557)) % 39.58/39.85 (step-pop @p558 :rule scope :premises (@p514)) % 39.58/39.85 (step @p515 :rule process_scope :premises (@p558) :args (@t352)) % 39.58/39.85 (step @p517 :rule implies_elim :premises (@p515)) % 39.58/39.85 (step @p518 :rule eq_resolve :premises (@p517 @p512)) % 39.58/39.85 (step @p519 :rule chain_m_resolution :premises (@p518 @p509) :args (@t352 @t317 (@list @t343))) % 39.58/39.85 (step @p520 :rule bool-double-not-elim :args (@t349)) % 39.58/39.85 (step @p521 :rule refl :args (@t351)) % 39.58/39.85 (step @p522 :rule nary_cong :premises (@p521 @p520) :args ((or @t351 (not @t350)))) % 39.58/39.85 (step @p523 :rule cnf_or_neg :args (@t351 0)) % 39.58/39.85 (step @p524 :rule eq_resolve :premises (@p523 @p522)) % 39.58/39.85 (step @p525 :rule reordering :premises (@p524) :args ((or @t349 @t351))) % 39.58/39.85 (step @p526 :rule chain_m_resolution :premises (@p525 @p519) :args (@t349 @t317 @t353)) % 39.58/39.85 (step @p527 :rule cnf_and_pos :args (@t354 1)) % 39.58/39.85 (step @p528 :rule reordering :premises (@p527) :args ((or @t350 @t355))) % 39.58/39.85 (step @p529 :rule chain_m_resolution :premises (@p528 @p526) :args (@t355 @t333 (@list @t349))) % 39.58/39.85 (step @p530 :rule cnf_or_neg :args (@t351 1)) % 39.58/39.85 (step @p531 :rule chain_m_resolution :premises (@p530 @p519) :args ((not @t348) @t317 @t353)) % 39.58/39.85 (step @p532 :rule cnf_or_pos :args (@t356)) % 39.58/39.85 (step @p533 :rule reordering :premises (@p532) :args ((or @t348 @t354 @t357))) % 39.58/39.85 (step @p534 :rule chain_m_resolution :premises (@p533 @p531 @p529) :args (@t357 @t342 (@list @t348 @t354))) % 39.58/39.85 (assume-push @p559 @t306) % 39.58/39.85 (step @p536 :rule instantiate :premises (@p559) :args ((@list @t347 @t346))) % 39.58/39.85 (step-pop @p560 :rule scope :premises (@p536)) % 39.58/39.85 (step @p537 :rule process_scope :premises (@p560) :args (@t356)) % 39.58/39.85 (step @p539 :rule implies_elim :premises (@p537)) % 39.58/39.85 (step @p540 false :rule chain_m_resolution :premises (@p539 @p534 @p444) :args (false (@list true false) (@list @t356 @t306))) % 39.58/39.85 ) % 39.58/39.85 % SZS output end Proof % 39.58/39.85 % cvc5 exiting %------------------------------------------------------------------------------