0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 240 THM 0.13/0.34 % Computer : n031.cluster.edu 0.13/0.34 % Model : x86_64 x86_64 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.34 % Memory : 8042.1875MB 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.34 % CPULimit : 1920 0.13/0.34 % WCLimit : 240 0.13/0.34 % DateTime : Fri Sep 5 21:29:37 EDT 2025 0.13/0.34 % CPUTime : 0.19/0.50 %----Proving TH0 0.48/0.71 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 72s... 0.48/0.71 % SZS status Theorem 0.48/0.71 % SZS output start Proof 0.48/0.71 ( 0.48/0.71 (declare-type tptp.a ()) 0.48/0.71 (declare-type tptp.b ()) 0.48/0.71 (define @t1 () (@var "Xy" tptp.a)) 0.48/0.71 (define @t2 () (@var "Xg" (-> tptp.a tptp.b))) 0.48/0.71 (define @t3 () (_ @t2 @t1)) 0.48/0.71 (define @t4 () (@var "Xx" tptp.a)) 0.48/0.71 (define @t5 () (@var "Xf" (-> tptp.a tptp.b))) 0.48/0.71 (define @t6 () (_ @t5 @t4)) 0.48/0.71 (define @t7 () (@var "Xr" (-> tptp.a tptp.b tptp.b Bool))) 0.48/0.71 (define @t8 () (_ @t7 @t4)) 0.48/0.71 (define @t9 () (_ (_ @t8 @t6) @t3)) 0.48/0.71 (define @t10 () (@var "Xq" (-> tptp.a tptp.a Bool))) 0.48/0.71 (define @t11 () (_ (_ @t10 @t4) @t1)) 0.48/0.71 (define @t12 () (@list @t4 @t1)) 0.48/0.71 (define @t13 () (forall @t12 (=> @t11 @t9))) 0.48/0.71 (define @t14 () (@list @t5 @t2)) 0.48/0.71 (define @t15 () (lambda @t14 @t13)) 0.48/0.71 (define @t16 () (@var "Xp" (-> tptp.a tptp.a Bool))) 0.48/0.71 (define @t17 () (_ @t16 @t4)) 0.48/0.71 (define @t18 () (_ @t17 @t1)) 0.48/0.71 (define @t19 () (forall @t12 (=> @t18 @t9))) 0.48/0.71 (define @t20 () (lambda @t14 @t19)) 0.48/0.71 (define @t21 () (= @t20 @t15)) 0.48/0.71 (define @t22 () (@var "Xy0" tptp.a)) 0.48/0.71 (define @t23 () (@var "Xz" (-> tptp.a tptp.b))) 0.48/0.71 (define @t24 () (_ @t23 @t22)) 0.48/0.71 (define @t25 () (@var "Xx0" tptp.a)) 0.48/0.71 (define @t26 () (@var "Xx" (-> tptp.a tptp.b))) 0.48/0.71 (define @t27 () (_ @t26 @t25)) 0.48/0.71 (define @t28 () (_ @t7 @t25)) 0.48/0.71 (define @t29 () (_ @t28 @t27)) 0.48/0.71 (define @t30 () (_ @t29 @t24)) 0.48/0.71 (define @t31 () (_ (_ @t16 @t25) @t22)) 0.48/0.71 (define @t32 () (@list @t25 @t22)) 0.48/0.71 (define @t33 () (forall @t32 (=> @t31 @t30))) 0.48/0.71 (define @t34 () (@var "Xy" (-> tptp.a tptp.b))) 0.48/0.71 (define @t35 () (_ @t34 @t22)) 0.48/0.71 (define @t36 () (_ @t29 @t35)) 0.48/0.71 (define @t37 () (forall @t32 (=> @t31 @t36))) 0.48/0.71 (define @t38 () (_ @t34 @t25)) 0.48/0.71 (define @t39 () (_ @t28 @t38)) 0.48/0.71 (define @t40 () (_ @t39 @t24)) 0.48/0.71 (define @t41 () (forall @t32 (=> @t31 @t40))) 0.48/0.71 (define @t42 () (and @t41 @t37)) 0.48/0.71 (define @t43 () (=> @t42 @t33)) 0.48/0.71 (define @t44 () (@list @t26 @t34 @t23)) 0.48/0.71 (define @t45 () (forall @t44 @t43)) 0.48/0.71 (define @t46 () (_ @t26 @t22)) 0.48/0.71 (define @t47 () (_ @t39 @t46)) 0.48/0.71 (define @t48 () (forall @t32 (=> @t31 @t47))) 0.48/0.71 (define @t49 () (=> @t37 @t48)) 0.48/0.71 (define @t50 () (@list @t26 @t34)) 0.48/0.71 (define @t51 () (forall @t50 @t49)) 0.48/0.71 (define @t52 () (and @t51 @t45 @t21)) 0.48/0.71 (define @t53 () (= @t8 (_ @t7 @t1))) 0.48/0.71 (define @t54 () (@var "Xz" tptp.b)) 0.48/0.71 (define @t55 () (@var "Xx0" tptp.b)) 0.48/0.71 (define @t56 () (_ @t8 @t55)) 0.48/0.71 (define @t57 () (_ @t56 @t54)) 0.48/0.71 (define @t58 () (@var "Xy0" tptp.b)) 0.48/0.71 (define @t59 () (_ @t8 @t58)) 0.48/0.71 (define @t60 () (_ @t59 @t54)) 0.48/0.71 (define @t61 () (_ @t56 @t58)) 0.48/0.71 (define @t62 () (and @t61 @t60)) 0.48/0.71 (define @t63 () (@list @t55 @t58 @t54)) 0.48/0.71 (define @t64 () (forall @t63 (=> @t62 @t57))) 0.48/0.71 (define @t65 () (_ @t59 @t55)) 0.48/0.71 (define @t66 () (@list @t55 @t58)) 0.48/0.71 (define @t67 () (forall @t66 (=> @t61 @t65))) 0.48/0.71 (define @t68 () (and @t67 @t64 @t53)) 0.48/0.71 (define @t69 () (=> @t18 @t68)) 0.48/0.71 (define @t70 () (forall @t12 @t69)) 0.48/0.71 (define @t71 () (=> @t70 @t52)) 0.48/0.71 (define @t72 () (_ @t16 @t1)) 0.48/0.71 (define @t73 () (_ @t72 @t4)) 0.48/0.71 (define @t74 () (forall @t12 (=> @t18 @t73))) 0.48/0.71 (define @t75 () (@var "Xz" tptp.a)) 0.48/0.71 (define @t76 () (_ @t17 @t75)) 0.48/0.71 (define @t77 () (_ @t72 @t75)) 0.48/0.71 (define @t78 () (and @t77 @t18)) 0.48/0.71 (define @t79 () (@list @t4 @t1 @t75)) 0.48/0.71 (define @t80 () (forall @t79 (=> @t78 @t76))) 0.48/0.71 (define @t81 () (= @t16 @t10)) 0.48/0.71 (define @t82 () (and @t81 @t80 @t74)) 0.48/0.71 (define @t83 () (=> @t82 @t71)) 0.48/0.71 (define @t84 () (@list @t16 @t10 @t7)) 0.48/0.71 (define @t85 () (forall @t84 @t83)) 0.48/0.71 (define @t86 () (not @t85)) 0.48/0.71 (define @t87 () (@var "BOUND_VARIABLE_7585" tptp.a)) 0.48/0.71 (define @t88 () (@var "BOUND_VARIABLE_7581" (-> tptp.a tptp.b))) 0.48/0.71 (define @t89 () (@var "BOUND_VARIABLE_7583" tptp.a)) 0.48/0.71 (define @t90 () (@var "BOUND_VARIABLE_7577" (-> tptp.a tptp.b))) 0.48/0.71 (define @t91 () (_ @t7 @t89 (_ @t90 @t89) (_ @t88 @t87))) 0.48/0.71 (define @t92 () (@var "BOUND_VARIABLE_7579" (-> tptp.a tptp.b))) 0.48/0.71 (define @t93 () (_ @t7 @t25 (_ @t90 @t25) (_ @t92 @t22))) 0.48/0.71 (define @t94 () (not (_ @t10 @t25 @t22))) 0.48/0.71 (define @t95 () (_ @t7 @t25 (_ @t92 @t25) (_ @t88 @t22))) 0.48/0.71 (define @t96 () (or (not (forall @t32 (or @t94 @t95))) (not (forall @t32 (or @t94 @t93))) (not (_ @t10 @t89 @t87)) @t91)) 0.48/0.71 (define @t97 () (@var "BOUND_VARIABLE_7563" tptp.a)) 0.48/0.71 (define @t98 () (@var "BOUND_VARIABLE_7557" (-> tptp.a tptp.b))) 0.48/0.71 (define @t99 () (@var "BOUND_VARIABLE_7561" tptp.a)) 0.48/0.71 (define @t100 () (@var "BOUND_VARIABLE_7559" (-> tptp.a tptp.b))) 0.48/0.71 (define @t101 () (_ @t7 @t99 (_ @t100 @t99) (_ @t98 @t97))) 0.48/0.71 (define @t102 () (_ @t7 @t25 (_ @t98 @t25) (_ @t100 @t22))) 0.48/0.71 (define @t103 () (or (not (forall @t32 (or @t94 @t102))) (not (_ @t10 @t99 @t97)) @t101)) 0.48/0.71 (define @t104 () (and @t103 @t96)) 0.48/0.71 (define @t105 () (@var "BOUND_VARIABLE_7433" tptp.b)) 0.48/0.71 (define @t106 () (@var "BOUND_VARIABLE_7429" tptp.b)) 0.48/0.71 (define @t107 () (@var "BOUND_VARIABLE_7431" tptp.b)) 0.48/0.71 (define @t108 () (or (not (_ @t7 @t4 @t106 @t107)) (not (_ @t7 @t4 @t107 @t105)) (_ @t7 @t4 @t106 @t105))) 0.48/0.71 (define @t109 () (@var "BOUND_VARIABLE_7421" tptp.b)) 0.48/0.71 (define @t110 () (@var "BOUND_VARIABLE_7423" tptp.b)) 0.48/0.71 (define @t111 () (or (not (_ @t7 @t4 @t109 @t110)) (_ @t7 @t4 @t110 @t109))) 0.48/0.71 (define @t112 () (and @t111 @t108 @t53)) 0.48/0.71 (define @t113 () (_ @t10 @t4 @t1)) 0.48/0.71 (define @t114 () (not @t113)) 0.48/0.71 (define @t115 () (@list @t4 @t1 @t109 @t110 @t106 @t107 @t105)) 0.48/0.71 (define @t116 () (not (forall @t115 (or @t114 @t112)))) 0.48/0.71 (define @t117 () (not (forall @t12 (or @t114 (_ @t10 @t1 @t4))))) 0.48/0.71 (define @t118 () (not (forall @t79 (or (not (_ @t10 @t1 @t75)) @t114 (_ @t10 @t4 @t75))))) 0.48/0.71 (define @t119 () (or @t118 @t117 @t116 @t104)) 0.48/0.71 (define @t120 () (@list @t10 @t7 @t98 @t100 @t99 @t97 @t90 @t92 @t88 @t89 @t87)) 0.48/0.71 (define @t121 () (forall @t120 @t119)) 0.48/0.71 (define @t122 () (@quantifiers_skolemize @t121 10)) 0.48/0.71 (define @t123 () (@quantifiers_skolemize @t121 9)) 0.48/0.71 (define @t124 () (@quantifiers_skolemize @t121 0)) 0.48/0.71 (define @t125 () (_ @t124 @t123 @t122)) 0.48/0.71 (define @t126 () (@quantifiers_skolemize @t121 8)) 0.48/0.71 (define @t127 () (_ @t126 @t122)) 0.48/0.71 (define @t128 () (@quantifiers_skolemize @t121 6)) 0.48/0.71 (define @t129 () (_ @t128 @t123)) 0.48/0.71 (define @t130 () (@quantifiers_skolemize @t121 1)) 0.48/0.71 (define @t131 () (_ @t130 @t123 @t129 @t127)) 0.48/0.71 (define @t132 () (not @t125)) 0.48/0.71 (define @t133 () (@quantifiers_skolemize @t121 7)) 0.48/0.71 (define @t134 () (not (_ @t124 @t25 @t22))) 0.48/0.71 (define @t135 () (forall @t32 (or @t134 (_ @t130 @t25 (_ @t128 @t25) (_ @t133 @t22))))) 0.48/0.71 (define @t136 () (not @t135)) 0.48/0.71 (define @t137 () (forall @t32 (or @t134 (_ @t130 @t25 (_ @t133 @t25) (_ @t126 @t22))))) 0.48/0.71 (define @t138 () (not @t137)) 0.48/0.71 (define @t139 () (or @t138 @t136 @t132 @t131)) 0.48/0.71 (define @t140 () (@list @t123 @t122)) 0.48/0.71 (define @t141 () (_ @t133 @t123)) 0.48/0.71 (define @t142 () (_ @t130 @t123 @t141 @t127)) 0.48/0.71 (define @t143 () (or @t132 @t142)) 0.48/0.71 (define @t144 () (_ @t130 @t123 @t129 @t141)) 0.48/0.71 (define @t145 () (_ @t124 @t123 @t123)) 0.48/0.71 (define @t146 () (not @t145)) 0.48/0.71 (define @t147 () (or @t146 @t144)) 0.48/0.71 (define @t148 () (_ @t2 @t1)) 0.48/0.71 (define @t149 () (_ @t5 @t4)) 0.48/0.71 (define @t150 () (_ @t7 @t4 @t149 @t148)) 0.48/0.71 (define @t151 () (lambda @t14 (forall @t12 (or @t114 @t150)))) 0.48/0.71 (define @t152 () (and @t103 @t96 (= @t151 @t151))) 0.48/0.71 (define @t153 () (not (= @t10 @t10))) 0.48/0.71 (define @t154 () (or @t153 @t118 @t117 @t116 @t152)) 0.48/0.71 (define @t155 () (_ @t16 @t4 @t1)) 0.48/0.71 (define @t156 () (not @t155)) 0.48/0.71 (define @t157 () (= (lambda @t14 (forall @t12 (or @t156 @t150))) @t151)) 0.48/0.71 (define @t158 () (_ @t16 @t25 @t22)) 0.48/0.71 (define @t159 () (not @t158)) 0.48/0.71 (define @t160 () (or (not (forall @t32 (or @t159 @t95))) (not (forall @t32 (or @t159 @t93))) (not (_ @t16 @t89 @t87)) @t91)) 0.48/0.71 (define @t161 () (or (not (forall @t32 (or @t159 @t102))) (not (_ @t16 @t99 @t97)) @t101)) 0.48/0.71 (define @t162 () (and @t161 @t160 @t157)) 0.48/0.71 (define @t163 () (or @t156 @t112)) 0.48/0.71 (define @t164 () (forall @t115 @t163)) 0.48/0.71 (define @t165 () (not @t164)) 0.48/0.71 (define @t166 () (_ @t16 @t1 @t4)) 0.48/0.71 (define @t167 () (forall @t12 (or @t156 @t166))) 0.48/0.71 (define @t168 () (not @t167)) 0.48/0.71 (define @t169 () (_ @t16 @t4 @t75)) 0.48/0.71 (define @t170 () (_ @t16 @t1 @t75)) 0.48/0.71 (define @t171 () (forall @t79 (or (not @t170) @t156 @t169))) 0.48/0.71 (define @t172 () (not @t171)) 0.48/0.71 (define @t173 () (not @t81)) 0.48/0.71 (define @t174 () (or @t173 @t173 @t172 @t168 @t165 @t162)) 0.48/0.71 (define @t175 () (@list @t16)) 0.48/0.71 (define @t176 () (or @t173 @t172 @t168 @t165 @t162)) 0.48/0.71 (define @t177 () (forall @t175 @t176)) 0.48/0.71 (define @t178 () (forall @t120 @t177)) 0.48/0.71 (define @t179 () (forall (@list @t10 @t7 @t98 @t100 @t99 @t97 @t90 @t92 @t88 @t89 @t87 @t16) @t176)) 0.48/0.71 (define @t180 () (forall (@list @t16 @t10 @t7 @t98 @t100 @t99 @t97 @t90 @t92 @t88 @t89 @t87) @t176)) 0.48/0.71 (define @t181 () (@list @t98 @t100 @t99 @t97 @t90 @t92 @t88 @t89 @t87)) 0.48/0.71 (define @t182 () (forall @t181 @t176)) 0.48/0.71 (define @t183 () (forall @t181 @t157)) 0.48/0.71 (define @t184 () (forall (@list @t90 @t92 @t88 @t89 @t87) @t160)) 0.48/0.71 (define @t185 () (@var "BOUND_VARIABLE_7509" tptp.a)) 0.48/0.71 (define @t186 () (@var "BOUND_VARIABLE_7507" tptp.a)) 0.48/0.71 (define @t187 () (forall @t181 @t160)) 0.48/0.71 (define @t188 () (forall (@list @t98 @t100 @t99 @t97) @t161)) 0.48/0.71 (define @t189 () (@var "BOUND_VARIABLE_7473" tptp.a)) 0.48/0.71 (define @t190 () (@var "BOUND_VARIABLE_7471" tptp.a)) 0.48/0.71 (define @t191 () (forall @t181 @t161)) 0.48/0.71 (define @t192 () (and @t191 @t187 @t183)) 0.48/0.71 (define @t193 () (forall @t181 @t162)) 0.48/0.71 (define @t194 () (or @t173 @t172 @t168 @t165 @t193)) 0.48/0.71 (define @t195 () (_ @t7 @t186 (_ @t26 @t186) (_ @t23 @t185))) 0.48/0.71 (define @t196 () (not (_ @t16 @t186 @t185))) 0.48/0.71 (define @t197 () (_ @t34 @t22)) 0.48/0.71 (define @t198 () (_ @t26 @t25)) 0.48/0.71 (define @t199 () (_ @t7 @t25 @t198 @t197)) 0.48/0.71 (define @t200 () (forall @t32 (or @t159 @t199))) 0.48/0.71 (define @t201 () (not @t200)) 0.48/0.71 (define @t202 () (_ @t23 @t22)) 0.48/0.71 (define @t203 () (_ @t34 @t25)) 0.48/0.71 (define @t204 () (_ @t7 @t25 @t203 @t202)) 0.48/0.71 (define @t205 () (forall @t32 (or @t159 @t204))) 0.48/0.71 (define @t206 () (not @t205)) 0.48/0.71 (define @t207 () (or @t206 @t201 @t196 @t195)) 0.48/0.71 (define @t208 () (@list @t26 @t34 @t23 @t186 @t185)) 0.48/0.71 (define @t209 () (_ @t7 @t190 (_ @t34 @t190) (_ @t26 @t189))) 0.48/0.71 (define @t210 () (not (_ @t16 @t190 @t189))) 0.48/0.71 (define @t211 () (or @t201 @t210 @t209)) 0.48/0.71 (define @t212 () (@list @t26 @t34 @t190 @t189)) 0.48/0.71 (define @t213 () (and (forall @t212 @t211) (forall @t208 @t207) @t157)) 0.48/0.71 (define @t214 () (or @t173 @t172 @t168 @t165 @t213)) 0.48/0.71 (define @t215 () (or @t173 @t172 @t168)) 0.48/0.71 (define @t216 () (=> @t164 @t213)) 0.48/0.71 (define @t217 () (and @t81 @t171 @t167)) 0.48/0.71 (define @t218 () (not @t11)) 0.48/0.71 (define @t219 () (or @t218 @t9)) 0.48/0.71 (define @t220 () (not @t18)) 0.48/0.71 (define @t221 () (or @t220 @t9)) 0.48/0.71 (define @t222 () (or @t196 @t195)) 0.48/0.71 (define @t223 () (or @t206 @t201 @t222)) 0.48/0.71 (define @t224 () (forall @t208 @t223)) 0.48/0.71 (define @t225 () (@list @t186 @t185)) 0.48/0.71 (define @t226 () (forall @t225 @t223)) 0.48/0.71 (define @t227 () (forall @t225 @t222)) 0.48/0.71 (define @t228 () (@list @t25 @t22)) 0.48/0.71 (define @t229 () (or @t206 @t201 @t227)) 0.48/0.71 (define @t230 () (_ @t7 @t25 @t198 @t202)) 0.48/0.71 (define @t231 () (forall @t32 (or @t159 @t230))) 0.48/0.71 (define @t232 () (or @t206 @t201 @t231)) 0.48/0.71 (define @t233 () (and @t205 @t200)) 0.48/0.71 (define @t234 () (_ @t28 @t198)) 0.48/0.71 (define @t235 () (not @t31)) 0.48/0.71 (define @t236 () (or @t235 @t30)) 0.48/0.71 (define @t237 () (or @t235 @t36)) 0.48/0.71 (define @t238 () (_ @t28 @t203)) 0.48/0.71 (define @t239 () (or @t235 @t40)) 0.48/0.71 (define @t240 () (or @t210 @t209)) 0.48/0.71 (define @t241 () (or @t201 @t240)) 0.48/0.71 (define @t242 () (forall @t212 @t241)) 0.48/0.71 (define @t243 () (@list @t190 @t189)) 0.48/0.71 (define @t244 () (forall @t243 @t241)) 0.48/0.71 (define @t245 () (forall @t243 @t240)) 0.48/0.71 (define @t246 () (or @t201 @t245)) 0.48/0.71 (define @t247 () (_ @t26 @t22)) 0.48/0.71 (define @t248 () (_ @t7 @t25 @t203 @t247)) 0.48/0.71 (define @t249 () (forall @t32 (or @t159 @t248))) 0.48/0.71 (define @t250 () (or @t235 @t47)) 0.48/0.71 (define @t251 () (@list @t109 @t110 @t106 @t107 @t105)) 0.48/0.71 (define @t252 () (forall @t251 @t163)) 0.48/0.71 (define @t253 () (forall @t251 @t53)) 0.48/0.71 (define @t254 () (forall (@list @t106 @t107 @t105) @t108)) 0.48/0.71 (define @t255 () (forall @t251 @t108)) 0.48/0.71 (define @t256 () (forall (@list @t109 @t110) @t111)) 0.48/0.71 (define @t257 () (forall @t251 @t111)) 0.48/0.71 (define @t258 () (and @t257 @t255 @t253)) 0.48/0.71 (define @t259 () (forall @t251 @t112)) 0.48/0.71 (define @t260 () (or @t156 @t259)) 0.48/0.71 (define @t261 () (_ @t7 @t4 @t55 @t54)) 0.48/0.71 (define @t262 () (_ @t7 @t4 @t58 @t54)) 0.48/0.71 (define @t263 () (_ @t7 @t4 @t55 @t58)) 0.48/0.71 (define @t264 () (not @t263)) 0.48/0.71 (define @t265 () (_ @t7 @t4 @t58 @t55)) 0.48/0.71 (define @t266 () (and (forall @t66 (or @t264 @t265)) (forall @t63 (or @t264 (not @t262) @t261)) @t53)) 0.48/0.71 (define @t267 () (or @t220 @t266)) 0.48/0.71 (define @t268 () (not @t60)) 0.48/0.71 (define @t269 () (not @t61)) 0.48/0.71 (define @t270 () (or @t269 @t268 @t57)) 0.48/0.71 (define @t271 () (or @t269 @t65)) 0.48/0.71 (define @t272 () (or @t220 @t73)) 0.48/0.71 (define @t273 () (not @t77)) 0.48/0.71 (define @t274 () (or @t273 @t220 @t76)) 0.48/0.71 (define @t275 () (not (_ @t124 @t4 @t1))) 0.48/0.71 (define @t276 () (forall @t12 (or @t275 (_ @t124 @t1 @t4)))) 0.48/0.71 (define @t277 () (@quantifiers_skolemize @t121 5)) 0.48/0.71 (define @t278 () (@quantifiers_skolemize @t121 2)) 0.48/0.71 (define @t279 () (_ @t278 @t277)) 0.48/0.71 (define @t280 () (@quantifiers_skolemize @t121 4)) 0.48/0.71 (define @t281 () (@quantifiers_skolemize @t121 3)) 0.48/0.71 (define @t282 () (_ @t281 @t280)) 0.48/0.71 (define @t283 () (_ @t130 @t280 @t282 @t279)) 0.48/0.71 (define @t284 () (_ @t124 @t280 @t277)) 0.48/0.71 (define @t285 () (not @t284)) 0.48/0.71 (define @t286 () (forall @t32 (or @t134 (_ @t130 @t25 (_ @t278 @t25) (_ @t281 @t22))))) 0.48/0.71 (define @t287 () (not @t286)) 0.48/0.71 (define @t288 () (or @t287 @t285 @t283)) 0.48/0.71 (define @t289 () (and @t288 @t139)) 0.48/0.71 (define @t290 () (forall @t115 (or @t275 (and (or (not (_ @t130 @t4 @t109 @t110)) (_ @t130 @t4 @t110 @t109)) (or (not (_ @t130 @t4 @t106 @t107)) (not (_ @t130 @t4 @t107 @t105)) (_ @t130 @t4 @t106 @t105)) (= (_ @t130 @t4) (_ @t130 @t1)))))) 0.48/0.71 (define @t291 () (not @t290)) 0.48/0.71 (define @t292 () (not @t276)) 0.48/0.71 (define @t293 () (forall @t79 (or (not (_ @t124 @t1 @t75)) @t275 (_ @t124 @t4 @t75)))) 0.48/0.71 (define @t294 () (not @t293)) 0.48/0.71 (define @t295 () (or @t294 @t292 @t291 @t289)) 0.48/0.71 (define @t296 () (@list true)) 0.48/0.71 (define @t297 () (@list @t295)) 0.48/0.71 (define @t298 () (_ @t124 @t122 @t123)) 0.48/0.71 (define @t299 () (or @t132 @t298)) 0.48/0.71 (define @t300 () (not @t298)) 0.48/0.71 (define @t301 () (or @t300 @t132 @t145)) 0.48/0.71 (define @t302 () (not @t142)) 0.48/0.71 (define @t303 () (not @t144)) 0.48/0.71 (define @t304 () (or @t303 @t302 @t131)) 0.48/0.71 (define @t305 () (_ @t130 @t123 @t279 @t279)) 0.48/0.71 (define @t306 () (or (not @t305) @t305)) 0.48/0.71 (define @t307 () (and @t306 @t304)) 0.48/0.71 (define @t308 () (_ @t130 @t123)) 0.48/0.71 (define @t309 () (and @t306 @t304 (= @t308 @t308))) 0.48/0.71 (define @t310 () (or @t146 @t309)) 0.48/0.71 (define @t311 () (@list false)) 0.48/0.71 (define @t312 () (or @t146 @t307)) 0.48/0.71 (define @t313 () (@list true false)) 0.48/0.71 (define @t314 () (@list @t288)) 0.48/0.71 (define @t315 () (_ @t130 @t277 @t279 @t282)) 0.48/0.71 (define @t316 () (_ @t124 @t277 @t280)) 0.48/0.71 (define @t317 () (not @t316)) 0.48/0.71 (define @t318 () (or @t317 @t315)) 0.48/0.71 (define @t319 () (or @t285 @t316)) 0.48/0.71 (define @t320 () (@list false false)) 0.48/0.71 (define @t321 () (= (_ @t130 @t280) (_ @t130 @t277))) 0.48/0.71 (define @t322 () (_ @t130 @t280 @t279 @t282)) 0.48/0.71 (define @t323 () (not @t322)) 0.48/0.71 (define @t324 () (or @t323 @t283)) 0.48/0.71 (define @t325 () (and @t324 (or (not (_ @t130 @t280 @t282 @t282)) (not @t283) @t283) @t321)) 0.48/0.71 (define @t326 () (or @t285 @t325)) 0.48/0.71 (define @t327 () (not @t325)) 0.48/0.71 (define @t328 () (@list @t325)) 0.48/0.71 (define @t329 () (not @t321)) 0.48/0.71 (define @t330 () (not @t315)) 0.48/0.71 (define @t331 () (and @t321 @t323 @t315)) 0.48/0.71 (assume @p1 @t86) 0.48/0.71 (assume @p2 true) 0.48/0.71 (step @p3 :rule bool-double-not-elim :args (@t125)) 0.48/0.71 (step @p4 :rule refl :args (@t139)) 0.48/0.71 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t139 (not @t132)))) 0.48/0.71 (step @p6 :rule cnf_or_neg :args (@t139 2)) 0.48/0.71 (step @p7 :rule eq_resolve :premises (@p6 @p5)) 0.48/0.71 (step @p8 :rule reordering :premises (@p7) :args ((or @t125 @t139))) 0.48/0.71 (step @p9 :rule bool-double-not-elim :args (@t137)) 0.48/0.71 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t139 (not @t138)))) 0.48/0.71 (step @p11 :rule cnf_or_neg :args (@t139 0)) 0.48/0.71 (step @p12 :rule eq_resolve :premises (@p11 @p10)) 0.48/0.71 (step @p13 :rule reordering :premises (@p12) :args ((or @t137 @t139))) 0.48/0.71 (step @p14 :rule bool-double-not-elim :args (@t135)) 0.48/0.71 (step @p15 :rule nary_cong :premises (@p4 @p14) :args ((or @t139 (not @t136)))) 0.48/0.71 (step @p16 :rule cnf_or_neg :args (@t139 1)) 0.48/0.71 (step @p17 :rule eq_resolve :premises (@p16 @p15)) 0.48/0.71 (step @p18 :rule reordering :premises (@p17) :args ((or @t135 @t139))) 0.48/0.71 (step @p19 :rule cnf_or_neg :args (@t139 3)) 0.48/0.71 (assume-push @p531 @t137) 0.48/0.71 (step @p21 :rule instantiate :premises (@p531) :args (@t140)) 0.48/0.71 (step-pop @p531 :rule scope :premises (@p21)) 0.48/0.71 (step @p22 :rule process_scope :premises (@p531) :args (@t143)) 0.48/0.71 (step @p24 :rule implies_elim :premises (@p22)) 0.48/0.71 (assume-push @p533 @t135) 0.48/0.71 (step @p26 :rule instantiate :premises (@p533) :args ((@list @t123 @t123))) 0.48/0.71 (step-pop @p533 :rule scope :premises (@p26)) 0.48/0.71 (step @p27 :rule process_scope :premises (@p533) :args (@t147)) 0.48/0.71 (step @p29 :rule implies_elim :premises (@p27)) 0.48/0.71 (step @p30 :rule aci_norm :args ((= (or false @t118 @t117 @t116 @t104) @t119))) 0.48/0.71 (step @p31 :rule aci_norm :args ((= (and @t103 @t96 true) @t104))) 0.48/0.71 (step @p32 :rule eq-refl :args (@t151)) 0.48/0.71 (step @p33 :rule refl :args (@t96)) 0.48/0.71 (step @p34 :rule refl :args (@t103)) 0.48/0.71 (step @p35 :rule nary_cong :premises (@p34 @p33 @p32) :args (@t152)) 0.48/0.71 (step @p36 :rule trans :premises (@p35 @p31)) 0.48/0.71 (step @p37 :rule refl :args (@t116)) 0.48/0.71 (step @p38 :rule refl :args (@t117)) 0.48/0.71 (step @p39 :rule refl :args (@t118)) 0.48/0.71 (step @p40 :rule evaluate :args ((not true))) 0.48/0.71 (step @p41 :rule eq-refl :args (@t10)) 0.48/0.71 (step @p42 :rule cong :premises (@p41) :args (@t153)) 0.48/0.71 (step @p43 :rule trans :premises (@p42 @p40)) 0.48/0.71 (step @p44 :rule nary_cong :premises (@p43 @p39 @p38 @p37 @p36) :args (@t154)) 0.48/0.71 (step @p45 :rule trans :premises (@p44 @p30)) 0.48/0.71 (step @p46 :rule cong :premises (@p45) :args ((forall @t120 @t154))) 0.48/0.71 (step @p47 :rule quant-var-elim-eq :args ((= (forall @t175 @t174) @t154))) 0.48/0.71 (step @p48 :rule aci_norm :args ((= @t176 @t174))) 0.48/0.71 (step @p49 :rule cong :premises (@p48) :args (@t177)) 0.48/0.71 (step @p50 :rule trans :premises (@p49 @p47)) 0.48/0.71 (step @p51 :rule cong :premises (@p50) :args (@t178)) 0.48/0.71 (step @p52 :rule quant-merge-prenex :args ((= @t178 @t179))) 0.48/0.71 (step @p53 :rule symm :premises (@p52)) 0.48/0.71 (step @p54 :rule quant_var_reordering :args ((= @t180 @t179))) 0.48/0.71 (step @p55 :rule trans :premises (@p54 @p53 @p51)) 0.48/0.71 (step @p56 :rule trans :premises (@p55 @p46)) 0.48/0.71 (step @p57 :rule quant-merge-prenex :args ((= (forall @t84 @t182) @t180))) 0.48/0.71 (step @p58 :rule quant-unused-vars :args ((= @t183 @t157))) 0.48/0.71 (step @p59 :rule alpha_equiv :args (@t184 (@list @t90 @t92 @t88 @t89 @t87) (@list @t26 @t34 @t23 @t186 @t185))) 0.48/0.71 (step @p60 :rule quant-unused-vars :args ((= @t187 @t184))) 0.48/0.71 (step @p61 :rule trans :premises (@p60 @p59)) 0.48/0.71 (step @p62 :rule alpha_equiv :args (@t188 (@list @t98 @t100 @t99 @t97) (@list @t26 @t34 @t190 @t189))) 0.48/0.71 (step @p63 :rule quant-unused-vars :args ((= @t191 @t188))) 0.48/0.71 (step @p64 :rule trans :premises (@p63 @p62)) 0.48/0.71 (step @p65 :rule nary_cong :premises (@p64 @p61 @p58) :args (@t192)) 0.48/0.71 (step @p66 :rule quant-miniscope-and :args ((= @t193 @t192))) 0.48/0.71 (step @p67 :rule trans :premises (@p66 @p65)) 0.48/0.71 (step @p68 :rule refl :args (@t165)) 0.48/0.71 (step @p69 :rule refl :args (@t168)) 0.48/0.71 (step @p70 :rule refl :args (@t172)) 0.48/0.71 (step @p71 :rule refl :args (@t173)) 0.48/0.71 (step @p72 :rule nary_cong :premises (@p71 @p70 @p69 @p68 @p67) :args (@t194)) 0.48/0.71 (step @p73 :rule quant-miniscope-or :args ((= @t182 @t194))) 0.48/0.71 (step @p74 :rule trans :premises (@p73 @p72)) 0.48/0.71 (step @p75 :rule symm :premises (@p74)) 0.48/0.71 (step @p76 :rule cong :premises (@p75) :args ((forall @t84 @t214))) 0.48/0.71 (step @p77 :rule trans :premises (@p76 @p57)) 0.48/0.71 (step @p78 :rule trans :premises (@p77 @p56)) 0.48/0.71 (step @p79 :rule aci_norm :args ((= (or @t215 (or @t165 @t213)) @t214))) 0.48/0.71 (step @p80 :rule bool-impl-elim :args (@t164 @t213)) 0.48/0.71 (step @p81 :rule aci_norm :args ((= (or @t173 (or @t172 @t168)) @t215))) 0.48/0.71 (step @p82 :rule bool-and-de-morgan :args (@t171 @t167 true)) 0.48/0.71 (step @p83 :rule nary_cong :premises (@p71 @p82) :args ((or @t173 (not (and @t171 @t167))))) 0.48/0.71 (step @p84 :rule bool-and-de-morgan :args (@t81 @t171 (and @t167))) 0.48/0.71 (step @p85 :rule trans :premises (@p84 @p83)) 0.48/0.71 (step @p86 :rule trans :premises (@p85 @p81)) 0.48/0.71 (step @p87 :rule nary_cong :premises (@p86 @p80) :args ((or (not @t217) @t216))) 0.48/0.71 (step @p88 :rule trans :premises (@p87 @p79)) 0.48/0.71 (step @p89 :rule bool-impl-elim :args (@t217 @t216)) 0.48/0.71 (step @p90 :rule trans :premises (@p89 @p88)) 0.48/0.71 (step @p91 :rule cong :premises (@p90) :args ((forall @t84 (=> @t217 @t216)))) 0.48/0.71 (step @p92 :rule trans :premises (@p91 @p78)) 0.48/0.71 (step @p93 :rule refl :args ((_ @t7 @t4 @t6 @t3))) 0.48/0.71 (step @p94 :rule refl :args (@t148)) 0.48/0.71 (step @p95 :rule refl :args (@t149)) 0.48/0.71 (step @p96 :rule refl :args (@t4)) 0.48/0.71 (step @p97 :rule cong :premises (@p96 @p95 @p94) :args (@t150)) 0.48/0.71 (step @p98 :rule trans :premises (@p97 @p93)) 0.48/0.71 (step @p99 :rule refl :args (@t8)) 0.48/0.71 (step @p100 :rule ho_cong :premises (@p99 @p95)) 0.48/0.71 (step @p101 :rule ho_cong :premises (@p100 @p94)) 0.48/0.71 (step @p102 :rule cong :premises (@p101 @p98) :args ((= (_ (_ @t8 @t149) @t148) @t150))) 0.48/0.71 (step @p103 :rule symm :premises (@p102)) 0.48/0.71 (step @p104 :rule refl :args (@t9)) 0.48/0.71 (step @p105 :rule eq_resolve :premises (@p104 @p103)) 0.48/0.71 (step @p106 :rule refl :args (@t3)) 0.48/0.71 (step @p107 :rule cong :premises (@p106 @p94) :args ((= @t3 @t148))) 0.48/0.71 (step @p108 :rule symm :premises (@p107)) 0.48/0.71 (step @p109 :rule eq_resolve :premises (@p106 @p108)) 0.48/0.71 (step @p110 :rule refl :args (@t6)) 0.48/0.71 (step @p111 :rule cong :premises (@p110 @p95) :args ((= @t6 @t149))) 0.48/0.71 (step @p112 :rule symm :premises (@p111)) 0.48/0.71 (step @p113 :rule eq_resolve :premises (@p110 @p112)) 0.48/0.71 (step @p114 :rule ho_cong :premises (@p99 @p113)) 0.48/0.71 (step @p115 :rule ho_cong :premises (@p114 @p109)) 0.48/0.71 (step @p116 :rule trans :premises (@p115 @p105)) 0.48/0.71 (step @p117 :rule refl :args (@t113)) 0.48/0.71 (step @p118 :rule refl :args (@t11)) 0.48/0.71 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t11 @t113))) 0.48/0.71 (step @p120 :rule symm :premises (@p119)) 0.48/0.71 (step @p121 :rule eq_resolve :premises (@p118 @p120)) 0.48/0.71 (step @p122 :rule cong :premises (@p121) :args (@t218)) 0.48/0.71 (step @p123 :rule nary_cong :premises (@p122 @p116) :args (@t219)) 0.48/0.71 (step @p124 :rule cong :premises (@p123) :args ((forall @t12 @t219))) 0.48/0.71 (step @p125 :rule bool-impl-elim :args (@t11 @t9)) 0.48/0.71 (step @p126 :rule cong :premises (@p125) :args (@t13)) 0.48/0.71 (step @p127 :rule trans :premises (@p126 @p124)) 0.48/0.71 (step @p128 :rule cong :premises (@p127) :args (@t15)) 0.48/0.71 (step @p129 :rule refl :args (@t155)) 0.48/0.71 (step @p130 :rule refl :args (@t18)) 0.48/0.71 (step @p131 :rule cong :premises (@p130 @p129) :args ((= @t18 @t155))) 0.48/0.71 (step @p132 :rule symm :premises (@p131)) 0.48/0.71 (step @p133 :rule eq_resolve :premises (@p130 @p132)) 0.48/0.71 (step @p134 :rule cong :premises (@p133) :args (@t220)) 0.48/0.71 (step @p135 :rule nary_cong :premises (@p134 @p116) :args (@t221)) 0.48/0.71 (step @p136 :rule cong :premises (@p135) :args ((forall @t12 @t221))) 0.48/0.71 (step @p137 :rule bool-impl-elim :args (@t18 @t9)) 0.48/0.71 (step @p138 :rule cong :premises (@p137) :args (@t19)) 0.48/0.71 (step @p139 :rule trans :premises (@p138 @p136)) 0.48/0.71 (step @p140 :rule cong :premises (@p139) :args (@t20)) 0.48/0.71 (step @p141 :rule cong :premises (@p140 @p128) :args (@t21)) 0.48/0.71 (step @p142 :rule aci_norm :args ((= @t223 @t207))) 0.48/0.71 (step @p143 :rule cong :premises (@p142) :args (@t224)) 0.48/0.71 (step @p144 :rule quant-merge-prenex :args ((= (forall @t44 @t226) @t224))) 0.48/0.71 (step @p145 :rule alpha_equiv :args (@t227 (@list @t186 @t185) @t228)) 0.48/0.71 (step @p146 :rule refl :args (@t201)) 0.48/0.71 (step @p147 :rule refl :args (@t206)) 0.48/0.71 (step @p148 :rule nary_cong :premises (@p147 @p146 @p145) :args (@t229)) 0.48/0.71 (step @p149 :rule quant-miniscope-or :args ((= @t226 @t229))) 0.48/0.71 (step @p150 :rule trans :premises (@p149 @p148)) 0.48/0.71 (step @p151 :rule symm :premises (@p150)) 0.48/0.71 (step @p152 :rule cong :premises (@p151) :args ((forall @t44 @t232))) 0.48/0.71 (step @p153 :rule trans :premises (@p152 @p144)) 0.48/0.71 (step @p154 :rule trans :premises (@p153 @p143)) 0.48/0.71 (step @p155 :rule aci_norm :args ((= (or (or @t206 @t201) @t231) @t232))) 0.48/0.71 (step @p156 :rule refl :args (@t231)) 0.48/0.71 (step @p157 :rule bool-and-de-morgan :args (@t205 @t200 true)) 0.48/0.71 (step @p158 :rule nary_cong :premises (@p157 @p156) :args ((or (not @t233) @t231))) 0.48/0.71 (step @p159 :rule trans :premises (@p158 @p155)) 0.48/0.71 (step @p160 :rule bool-impl-elim :args (@t233 @t231)) 0.48/0.71 (step 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@p419 :rule chain_resolution :premises (@p418 @p390) :args (@t296 @t297)) 0.48/0.71 (step @p420 :rule aci_norm :args ((= (and @t306 @t304 true) @t307))) 0.48/0.71 (step @p421 :rule eq-refl :args (@t308)) 0.48/0.71 (step @p422 :rule refl :args (@t304)) 0.48/0.71 (step @p423 :rule refl :args (@t306)) 0.48/0.71 (step @p424 :rule nary_cong :premises (@p423 @p422 @p421) :args (@t309)) 0.48/0.71 (step @p425 :rule trans :premises (@p424 @p420)) 0.48/0.71 (step @p426 :rule refl :args (@t146)) 0.48/0.71 (step @p427 :rule nary_cong :premises (@p426 @p425) :args (@t310)) 0.48/0.71 (step @p428 :rule refl :args (@t290)) 0.48/0.71 (step @p429 :rule cong :premises (@p428 @p427) :args ((=> @t290 @t310))) 0.48/0.71 (assume-push @p535 @t290) 0.48/0.71 (step @p431 :rule instantiate :premises (@p419) :args ((@list @t123 @t123 @t279 @t279 @t129 @t141 @t127))) 0.48/0.71 (step-pop @p535 :rule scope :premises (@p431)) 0.48/0.71 (step @p432 :rule process_scope :premises (@p535) :args (@t310)) 0.48/0.71 (step @p434 :rule eq_resolve :premises (@p432 @p429)) 0.48/0.71 (step @p435 :rule implies_elim :premises (@p434)) 0.48/0.71 (step @p436 :rule chain_resolution :premises (@p435 @p419) :args (@t311 (@list @t290))) 0.48/0.71 (step @p437 :rule cnf_or_pos :args (@t312)) 0.48/0.71 (step @p438 :rule reordering :premises (@p437) :args ((or @t146 @t307 (not @t312)))) 0.48/0.71 (step @p439 :rule cnf_or_pos :args (@t304)) 0.48/0.71 (step @p440 :rule reordering :premises (@p439) :args ((or @t131 @t302 @t303 (not @t304)))) 0.48/0.71 (step @p441 :rule cnf_and_pos :args (@t307 1)) 0.48/0.71 (step @p442 :rule reordering :premises (@p441) :args ((or @t304 (not @t307)))) 0.48/0.71 (step @p443 :rule chain_resolution :premises (@p442 @p440 @p438 @p436 @p413) :args ((@list true false false false) (@list @t304 @t307 @t312 @t144))) 0.48/0.71 (step @p444 :rule factoring :premises (@p443)) 0.48/0.71 (step @p445 :rule chain_resolution :premises (@p444 @p411 @p409 @p402 @p400 @p398 @p29 @p24 @p19 @p18 @p13) :args ((@list false false false false false false false true false false) (@list @t145 @t301 @t142 @t298 @t299 @t147 @t143 @t131 @t135 @t137))) 0.48/0.71 (step @p446 :rule factoring :premises (@p445)) 0.48/0.71 (step @p447 :rule chain_resolution :premises (@p446 @p8) :args (@t311 (@list @t125))) 0.48/0.71 (step @p448 :rule factoring :premises (@p447)) 0.48/0.71 (step @p449 :rule cnf_or_neg :args (@t295 3)) 0.48/0.71 (step @p450 :rule chain_resolution :premises (@p449 @p390) :args (@t296 @t297)) 0.48/0.71 (step @p451 :rule cnf_and_neg :args (@t289)) 0.48/0.71 (step @p452 :rule chain_resolution :premises (@p451 @p450 @p448) :args (@t313 (@list @t289 @t139))) 0.48/0.71 (step @p453 :rule bool-double-not-elim :args (@t286)) 0.48/0.71 (step @p454 :rule refl :args (@t288)) 0.48/0.71 (step @p455 :rule nary_cong :premises (@p454 @p453) :args ((or @t288 (not @t287)))) 0.48/0.71 (step @p456 :rule cnf_or_neg :args (@t288 0)) 0.48/0.71 (step @p457 :rule eq_resolve :premises (@p456 @p455)) 0.48/0.71 (step @p458 :rule reordering :premises (@p457) :args ((or @t286 @t288))) 0.48/0.71 (step @p459 :rule chain_resolution :premises (@p458 @p452) :args (@t296 @t314)) 0.48/0.71 (assume-push @p537 @t286) 0.48/0.71 (step @p461 :rule instantiate :premises (@p537) :args ((@list @t277 @t280))) 0.48/0.71 (step-pop @p537 :rule scope :premises (@p461)) 0.48/0.71 (step @p462 :rule process_scope :premises (@p537) :args (@t318)) 0.48/0.71 (step @p464 :rule implies_elim :premises (@p462)) 0.48/0.71 (step @p465 :rule chain_resolution :premises (@p464 @p459) :args (@t311 (@list @t286))) 0.48/0.71 (step @p466 :rule instantiate :premises (@p397) :args ((@list @t280 @t277))) 0.48/0.71 (step @p467 :rule bool-double-not-elim :args (@t284)) 0.48/0.71 (step @p468 :rule nary_cong :premises (@p454 @p467) :args ((or @t288 (not @t285)))) 0.48/0.71 (step @p469 :rule cnf_or_neg :args (@t288 1)) 0.48/0.71 (step @p470 :rule eq_resolve :premises (@p469 @p468)) 0.48/0.71 (step @p471 :rule reordering :premises (@p470) :args ((or @t284 @t288))) 0.48/0.71 (step @p472 :rule chain_resolution :premises (@p471 @p452) :args (@t296 @t314)) 0.48/0.71 (step @p473 :rule cnf_or_pos :args (@t319)) 0.48/0.71 (step @p474 :rule reordering :premises (@p473) :args ((or @t285 @t316 (not @t319)))) 0.48/0.71 (step @p475 :rule chain_resolution :premises (@p474 @p472 @p466) :args (@t320 (@list @t284 @t319))) 0.48/0.71 (step @p476 :rule cnf_or_pos :args (@t318)) 0.48/0.71 (step @p477 :rule reordering :premises (@p476) :args ((or @t317 @t315 (not @t318)))) 0.48/0.71 (step @p478 :rule chain_resolution :premises (@p477 @p475 @p465) :args (@t320 (@list @t316 @t318))) 0.48/0.71 (step @p479 :rule instantiate :premises (@p419) :args ((@list @t280 @t277 @t279 @t282 @t282 @t282 @t279))) 0.48/0.71 (step @p480 :rule cnf_or_pos :args (@t326)) 0.48/0.71 (step @p481 :rule reordering :premises (@p480) :args ((or @t285 @t325 (not @t326)))) 0.48/0.71 (step @p482 :rule chain_resolution :premises (@p481 @p472 @p479) :args (@t320 (@list @t284 @t326))) 0.48/0.71 (step @p483 :rule cnf_and_pos :args (@t325 2)) 0.48/0.71 (step @p484 :rule reordering :premises (@p483) :args ((or @t321 @t327))) 0.48/0.71 (step @p485 :rule chain_resolution :premises (@p484 @p482) :args (@t311 @t328)) 0.48/0.71 (step @p486 :rule cnf_and_pos :args (@t325 0)) 0.48/0.71 (step @p487 :rule reordering :premises (@p486) :args ((or @t324 @t327))) 0.48/0.71 (step @p488 :rule chain_resolution :premises (@p487 @p482) :args (@t311 @t328)) 0.48/0.71 (step @p489 :rule cnf_or_neg :args (@t288 2)) 0.48/0.71 (step @p490 :rule chain_resolution :premises (@p489 @p452) :args (@t296 @t314)) 0.48/0.71 (step @p491 :rule cnf_or_pos :args (@t324)) 0.48/0.71 (step @p492 :rule reordering :premises (@p491) :args ((or @t283 @t323 (not @t324)))) 0.48/0.71 (step @p493 :rule chain_resolution :premises (@p492 @p490 @p488) :args (@t313 (@list @t283 @t324))) 0.48/0.71 (step @p494 :rule refl :args (@t329)) 0.48/0.71 (step @p495 :rule bool-double-not-elim :args (@t322)) 0.48/0.71 (step @p496 :rule refl :args (@t330)) 0.48/0.71 (step @p497 :rule nary_cong :premises (@p496 @p495 @p494) :args ((or @t330 (not @t323) @t329))) 0.48/0.71 (assume-push @p539 @t321) 0.48/0.71 (assume-push @p540 @t323) 0.48/0.71 (assume-push @p541 @t315) 0.48/0.71 (step @p501 :rule evaluate :args ((= false true))) 0.48/0.71 (step @p502 :rule true_intro :premises (@p541)) 0.48/0.71 (step @p503 :rule refl :args (@t315)) 0.48/0.71 (step @p504 :rule symm :premises (@p503)) 0.48/0.71 (step @p505 :rule refl :args (@t282)) 0.48/0.71 (step @p506 :rule refl :args (@t279)) 0.48/0.71 (step @p507 :rule ho_cong :premises (@p539 @p506)) 0.48/0.71 (step @p508 :rule ho_cong :premises (@p507 @p505)) 0.48/0.71 (step @p509 :rule refl :args (@t322)) 0.48/0.71 (step @p510 :rule false_intro :premises (@p540)) 0.48/0.71 (step @p511 :rule symm :premises (@p510)) 0.48/0.71 (step @p512 :rule trans :premises (@p511 @p509 @p508 @p504 @p502)) 0.48/0.71 (step @p513 false :rule eq_resolve :premises (@p512 @p501)) 0.48/0.71 (step-pop @p541 :rule scope :premises (@p513)) 0.48/0.71 (step-pop @p542 :rule scope :premises (@p541)) 0.48/0.71 (step-pop @p543 :rule scope :premises (@p542)) 0.48/0.71 (step @p514 :rule process_scope :premises (@p543) :args (false)) 0.48/0.71 (assume-push @p545 @t315) 0.48/0.71 (assume-push @p546 @t323) 0.48/0.71 (assume-push @p547 @t321) 0.48/0.71 (step @p521 :rule and_intro :premises (@p547 @p546 @p545)) 0.48/0.71 (step-pop @p547 :rule scope :premises (@p521)) 0.48/0.71 (step-pop @p548 :rule scope :premises (@p547)) 0.48/0.71 (step-pop @p549 :rule scope :premises (@p548)) 0.48/0.71 (step @p522 :rule process_scope :premises (@p549) :args (@t331)) 0.48/0.71 (step @p526 :rule implies_elim :premises (@p522)) 0.48/0.71 (step @p527 :rule resolution :premises (@p526 @p514) :args (true @t331)) 0.48/0.71 (step @p528 :rule not_and :premises (@p527)) 0.48/0.71 (step @p529 :rule eq_resolve :premises (@p528 @p497)) 0.48/0.71 (step @p530 false :rule chain_resolution :premises (@p529 @p493 @p485 @p478) :args ((@list true false false) (@list @t322 @t321 @t315))) 0.48/0.71 ) 0.48/0.71 % SZS output end Proof 0.48/0.71 % cvc5 exiting 0.48/0.71 EOF