%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV041^5 : 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 : n006.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 08:55:21 AM UTC 2026 % Result : Theorem 34.21s 34.47s % Output : Proof 34.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV041^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n006.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 18:10:04 EDT 2026 % 0.16/0.35 % CPUTime : % 0.27/0.50 %----Proving TH0 % 34.21/34.47 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 34.21/34.47 % SZS status Theorem % 34.21/34.47 % SZS output start Proof % 34.21/34.47 ( % 34.21/34.47 (declare-sort tptp.a 0) % 34.21/34.47 (declare-sort tptp.b 0) % 34.21/34.47 (define @t1 () (@var "Xy" tptp.a)) % 34.21/34.47 (define @t2 () (@var "Xg" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t3 () (_ @t2 @t1)) % 34.21/34.47 (define @t4 () (@var "Xx" tptp.a)) % 34.21/34.47 (define @t5 () (@var "Xf" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t6 () (_ @t5 @t4)) % 34.21/34.47 (define @t7 () (@var "Xs" (-> tptp.a tptp.b tptp.b Bool))) % 34.21/34.47 (define @t8 () (_ @t7 @t4)) % 34.21/34.47 (define @t9 () (_ (_ @t8 @t6) @t3)) % 34.21/34.47 (define @t10 () (@var "Xq" (-> tptp.a tptp.a Bool))) % 34.21/34.47 (define @t11 () (_ (_ @t10 @t4) @t1)) % 34.21/34.47 (define @t12 () (@list @t4 @t1)) % 34.21/34.47 (define @t13 () (forall @t12 (=> @t11 @t9))) % 34.21/34.47 (define @t14 () (@list @t5 @t2)) % 34.21/34.47 (define @t15 () (lambda @t14 @t13)) % 34.21/34.47 (define @t16 () (@var "Xr" (-> tptp.a tptp.b tptp.b Bool))) % 34.21/34.47 (define @t17 () (_ @t16 @t4)) % 34.21/34.47 (define @t18 () (_ (_ @t17 @t6) @t3)) % 34.21/34.47 (define @t19 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 34.21/34.47 (define @t20 () (_ @t19 @t4)) % 34.21/34.47 (define @t21 () (_ @t20 @t1)) % 34.21/34.47 (define @t22 () (forall @t12 (=> @t21 @t18))) % 34.21/34.47 (define @t23 () (lambda @t14 @t22)) % 34.21/34.47 (define @t24 () (= @t23 @t15)) % 34.21/34.47 (define @t25 () (@var "Xy0" tptp.a)) % 34.21/34.47 (define @t26 () (@var "Xz" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t27 () (_ @t26 @t25)) % 34.21/34.47 (define @t28 () (@var "Xx0" tptp.a)) % 34.21/34.47 (define @t29 () (@var "Xx" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t30 () (_ @t29 @t28)) % 34.21/34.47 (define @t31 () (_ @t16 @t28)) % 34.21/34.47 (define @t32 () (_ @t31 @t30)) % 34.21/34.47 (define @t33 () (_ @t32 @t27)) % 34.21/34.47 (define @t34 () (_ (_ @t19 @t28) @t25)) % 34.21/34.47 (define @t35 () (@list @t28 @t25)) % 34.21/34.47 (define @t36 () (forall @t35 (=> @t34 @t33))) % 34.21/34.47 (define @t37 () (@var "Xy" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t38 () (_ @t37 @t28)) % 34.21/34.47 (define @t39 () (_ @t31 @t38)) % 34.21/34.47 (define @t40 () (_ @t39 @t27)) % 34.21/34.47 (define @t41 () (forall @t35 (=> @t34 @t40))) % 34.21/34.47 (define @t42 () (_ @t37 @t25)) % 34.21/34.47 (define @t43 () (_ @t32 @t42)) % 34.21/34.47 (define @t44 () (forall @t35 (=> @t34 @t43))) % 34.21/34.47 (define @t45 () (and @t44 @t41)) % 34.21/34.47 (define @t46 () (=> @t45 @t36)) % 34.21/34.47 (define @t47 () (@list @t29 @t37 @t26)) % 34.21/34.47 (define @t48 () (forall @t47 @t46)) % 34.21/34.47 (define @t49 () (_ @t29 @t25)) % 34.21/34.47 (define @t50 () (_ @t39 @t49)) % 34.21/34.47 (define @t51 () (forall @t35 (=> @t34 @t50))) % 34.21/34.47 (define @t52 () (=> @t44 @t51)) % 34.21/34.47 (define @t53 () (@list @t29 @t37)) % 34.21/34.47 (define @t54 () (forall @t53 @t52)) % 34.21/34.47 (define @t55 () (and @t54 @t48 @t24)) % 34.21/34.47 (define @t56 () (= @t17 @t8)) % 34.21/34.47 (define @t57 () (@var "Xz" tptp.b)) % 34.21/34.47 (define @t58 () (@var "Xx0" tptp.b)) % 34.21/34.47 (define @t59 () (_ @t17 @t58)) % 34.21/34.47 (define @t60 () (_ @t59 @t57)) % 34.21/34.47 (define @t61 () (@var "Xy" tptp.b)) % 34.21/34.47 (define @t62 () (_ @t17 @t61)) % 34.21/34.47 (define @t63 () (_ @t62 @t57)) % 34.21/34.47 (define @t64 () (_ @t59 @t61)) % 34.21/34.47 (define @t65 () (and @t64 @t63)) % 34.21/34.47 (define @t66 () (@list @t58 @t61 @t57)) % 34.21/34.47 (define @t67 () (forall @t66 (=> @t65 @t60))) % 34.21/34.47 (define @t68 () (_ @t62 @t58)) % 34.21/34.47 (define @t69 () (@list @t58 @t61)) % 34.21/34.47 (define @t70 () (forall @t69 (=> @t64 @t68))) % 34.21/34.47 (define @t71 () (and @t70 @t67 @t56)) % 34.21/34.47 (define @t72 () (_ @t20 @t4)) % 34.21/34.47 (define @t73 () (=> @t72 @t71)) % 34.21/34.47 (define @t74 () (@list @t4)) % 34.21/34.47 (define @t75 () (forall @t74 @t73)) % 34.21/34.47 (define @t76 () (=> @t75 @t55)) % 34.21/34.47 (define @t77 () (= @t17 (_ @t16 @t1))) % 34.21/34.47 (define @t78 () (@var "Xy0" tptp.b)) % 34.21/34.47 (define @t79 () (_ @t17 @t78)) % 34.21/34.47 (define @t80 () (_ @t79 @t57)) % 34.21/34.47 (define @t81 () (_ @t59 @t78)) % 34.21/34.47 (define @t82 () (and @t81 @t80)) % 34.21/34.47 (define @t83 () (@list @t58 @t78 @t57)) % 34.21/34.47 (define @t84 () (forall @t83 (=> @t82 @t60))) % 34.21/34.47 (define @t85 () (_ @t79 @t58)) % 34.21/34.47 (define @t86 () (@list @t58 @t78)) % 34.21/34.47 (define @t87 () (forall @t86 (=> @t81 @t85))) % 34.21/34.47 (define @t88 () (and @t87 @t84 @t77)) % 34.21/34.47 (define @t89 () (=> @t21 @t88)) % 34.21/34.47 (define @t90 () (forall @t12 @t89)) % 34.21/34.47 (define @t91 () (=> @t90 @t76)) % 34.21/34.47 (define @t92 () (= @t19 @t10)) % 34.21/34.47 (define @t93 () (@var "Xz" tptp.a)) % 34.21/34.47 (define @t94 () (_ @t20 @t93)) % 34.21/34.47 (define @t95 () (_ @t19 @t1)) % 34.21/34.47 (define @t96 () (_ @t95 @t93)) % 34.21/34.47 (define @t97 () (and @t21 @t96)) % 34.21/34.47 (define @t98 () (@list @t4 @t1 @t93)) % 34.21/34.47 (define @t99 () (forall @t98 (=> @t97 @t94))) % 34.21/34.47 (define @t100 () (_ @t95 @t4)) % 34.21/34.47 (define @t101 () (forall @t12 (=> @t21 @t100))) % 34.21/34.47 (define @t102 () (and @t101 @t99 @t92)) % 34.21/34.47 (define @t103 () (=> @t102 @t91)) % 34.21/34.47 (define @t104 () (@list @t19 @t10 @t16 @t7)) % 34.21/34.47 (define @t105 () (forall @t104 @t103)) % 34.21/34.47 (define @t106 () (not @t105)) % 34.21/34.47 (define @t107 () (@const 0 (-> tptp.a tptp.b))) % 34.21/34.47 (define @t108 () (_ @t107 @t1)) % 34.21/34.47 (define @t109 () (@const 1 (-> tptp.a tptp.b))) % 34.21/34.47 (define @t110 () (_ @t109 @t4)) % 34.21/34.47 (define @t111 () (_ @t2 @t1)) % 34.21/34.47 (define @t112 () (_ @t5 @t4)) % 34.21/34.47 (define @t113 () (_ @t16 @t4 @t112 @t111)) % 34.21/34.47 (define @t114 () (_ @t10 @t4 @t1)) % 34.21/34.47 (define @t115 () (not @t114)) % 34.21/34.47 (define @t116 () (lambda @t14 (forall @t12 (or @t115 @t113)))) % 34.21/34.47 (define @t117 () (_ @t7 @t4 @t112 @t111)) % 34.21/34.47 (define @t118 () (lambda @t14 (forall @t12 (or @t115 @t117)))) % 34.21/34.47 (define @t119 () (@var "BOUND_VARIABLE_7803" tptp.a)) % 34.21/34.47 (define @t120 () (@var "BOUND_VARIABLE_7799" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t121 () (@var "BOUND_VARIABLE_7801" tptp.a)) % 34.21/34.47 (define @t122 () (@var "BOUND_VARIABLE_7795" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t123 () (_ @t16 @t121 (_ @t122 @t121) (_ @t120 @t119))) % 34.21/34.47 (define @t124 () (@var "BOUND_VARIABLE_7797" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t125 () (_ @t16 @t28 (_ @t124 @t28) (_ @t120 @t25))) % 34.21/34.47 (define @t126 () (not (_ @t10 @t28 @t25))) % 34.21/34.47 (define @t127 () (_ @t16 @t28 (_ @t122 @t28) (_ @t124 @t25))) % 34.21/34.47 (define @t128 () (or (not (forall @t35 (or @t126 @t127))) (not (forall @t35 (or @t126 @t125))) (not (_ @t10 @t121 @t119)) @t123)) % 34.21/34.47 (define @t129 () (@var "BOUND_VARIABLE_7781" tptp.a)) % 34.21/34.47 (define @t130 () (@var "BOUND_VARIABLE_7775" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t131 () (@var "BOUND_VARIABLE_7779" tptp.a)) % 34.21/34.47 (define @t132 () (@var "BOUND_VARIABLE_7777" (-> tptp.a tptp.b))) % 34.21/34.47 (define @t133 () (_ @t16 @t131 (_ @t132 @t131) (_ @t130 @t129))) % 34.21/34.47 (define @t134 () (_ @t16 @t28 (_ @t130 @t28) (_ @t132 @t25))) % 34.21/34.47 (define @t135 () (or (not (forall @t35 (or @t126 @t134))) (not (_ @t10 @t131 @t129)) @t133)) % 34.21/34.47 (define @t136 () (and @t135 @t128 (= @t118 @t116))) % 34.21/34.47 (define @t137 () (@var "BOUND_VARIABLE_7645" tptp.b)) % 34.21/34.47 (define @t138 () (@var "BOUND_VARIABLE_7641" tptp.b)) % 34.21/34.47 (define @t139 () (@var "BOUND_VARIABLE_7643" tptp.b)) % 34.21/34.47 (define @t140 () (or (not (_ @t16 @t4 @t138 @t139)) (not (_ @t16 @t4 @t139 @t137)) (_ @t16 @t4 @t138 @t137))) % 34.21/34.47 (define @t141 () (@var "BOUND_VARIABLE_7633" tptp.b)) % 34.21/34.47 (define @t142 () (@var "BOUND_VARIABLE_7635" tptp.b)) % 34.21/34.47 (define @t143 () (or (not (_ @t16 @t4 @t141 @t142)) (_ @t16 @t4 @t142 @t141))) % 34.21/34.47 (define @t144 () (and @t143 @t140 @t56)) % 34.21/34.47 (define @t145 () (@list @t4 @t141 @t142 @t138 @t139 @t137)) % 34.21/34.47 (define @t146 () (not (forall @t145 (or (not (_ @t10 @t4 @t4)) @t144)))) % 34.21/34.47 (define @t147 () (@var "BOUND_VARIABLE_7594" tptp.b)) % 34.21/34.47 (define @t148 () (@var "BOUND_VARIABLE_7590" tptp.b)) % 34.21/34.47 (define @t149 () (@var "BOUND_VARIABLE_7592" tptp.b)) % 34.21/34.47 (define @t150 () (or (not (_ @t16 @t4 @t148 @t149)) (not (_ @t16 @t4 @t149 @t147)) (_ @t16 @t4 @t148 @t147))) % 34.21/34.47 (define @t151 () (@var "BOUND_VARIABLE_7582" tptp.b)) % 34.21/34.47 (define @t152 () (@var "BOUND_VARIABLE_7584" tptp.b)) % 34.21/34.47 (define @t153 () (or (not (_ @t16 @t4 @t151 @t152)) (_ @t16 @t4 @t152 @t151))) % 34.21/34.47 (define @t154 () (and @t153 @t150 @t77)) % 34.21/34.47 (define @t155 () (@list @t4 @t1 @t151 @t152 @t148 @t149 @t147)) % 34.21/34.47 (define @t156 () (not (forall @t155 (or @t115 @t154)))) % 34.21/34.47 (define @t157 () (not (forall @t98 (or @t115 (not (_ @t10 @t1 @t93)) (_ @t10 @t4 @t93))))) % 34.21/34.47 (define @t158 () (not (forall @t12 (or @t115 (_ @t10 @t1 @t4))))) % 34.21/34.47 (define @t159 () (or @t158 @t157 @t156 @t146 @t136)) % 34.21/34.47 (define @t160 () (@list @t10 @t16 @t7 @t130 @t132 @t131 @t129 @t122 @t124 @t120 @t121 @t119)) % 34.21/34.47 (define @t161 () (forall @t160 @t159)) % 34.21/34.47 (define @t162 () (@quantifiers_skolemize @t161 1)) % 34.21/34.47 (define @t163 () (@quantifiers_skolemize @t161 0)) % 34.21/34.47 (define @t164 () (not (_ @t163 @t4 @t1))) % 34.21/34.47 (define @t165 () (forall @t12 (or @t164 (_ @t162 @t4 @t110 @t108)))) % 34.21/34.47 (define @t166 () (@quantifiers_skolemize @t161 2)) % 34.21/34.47 (define @t167 () (forall @t12 (or @t164 (_ @t166 @t4 @t110 @t108)))) % 34.21/34.47 (define @t168 () (= @t167 @t165)) % 34.21/34.47 (define @t169 () (@quantifiers_skolemize @t165 1)) % 34.21/34.47 (define @t170 () (@quantifiers_skolemize @t165 0)) % 34.21/34.47 (define @t171 () (@list @t170 @t169)) % 34.21/34.47 (define @t172 () (_ @t107 @t169)) % 34.21/34.47 (define @t173 () (_ @t109 @t170)) % 34.21/34.47 (define @t174 () (_ @t166 @t170 @t173 @t172)) % 34.21/34.47 (define @t175 () (_ @t163 @t170 @t169)) % 34.21/34.47 (define @t176 () (not @t175)) % 34.21/34.47 (define @t177 () (or @t176 @t174)) % 34.21/34.47 (define @t178 () (_ @t162 @t170 @t173 @t172)) % 34.21/34.47 (define @t179 () (or @t176 @t178)) % 34.21/34.47 (define @t180 () (not @t179)) % 34.21/34.47 (define @t181 () (not @t165)) % 34.21/34.47 (define @t182 () (and @t135 @t128 (= @t116 @t118))) % 34.21/34.47 (define @t183 () (not (= @t10 @t10))) % 34.21/34.47 (define @t184 () (or @t158 @t157 @t183 @t156 @t146 @t182)) % 34.21/34.47 (define @t185 () (_ @t19 @t4 @t1)) % 34.21/34.47 (define @t186 () (not @t185)) % 34.21/34.47 (define @t187 () (= (lambda @t14 (forall @t12 (or @t186 @t113))) @t118)) % 34.21/34.47 (define @t188 () (_ @t19 @t28 @t25)) % 34.21/34.47 (define @t189 () (not @t188)) % 34.21/34.47 (define @t190 () (or (not (forall @t35 (or @t189 @t127))) (not (forall @t35 (or @t189 @t125))) (not (_ @t19 @t121 @t119)) @t123)) % 34.21/34.47 (define @t191 () (or (not (forall @t35 (or @t189 @t134))) (not (_ @t19 @t131 @t129)) @t133)) % 34.21/34.47 (define @t192 () (and @t191 @t190 @t187)) % 34.21/34.47 (define @t193 () (_ @t19 @t4 @t4)) % 34.21/34.47 (define @t194 () (not @t193)) % 34.21/34.47 (define @t195 () (or @t194 @t144)) % 34.21/34.47 (define @t196 () (forall @t145 @t195)) % 34.21/34.47 (define @t197 () (not @t196)) % 34.21/34.47 (define @t198 () (or @t186 @t154)) % 34.21/34.47 (define @t199 () (forall @t155 @t198)) % 34.21/34.47 (define @t200 () (not @t199)) % 34.21/34.47 (define @t201 () (not @t92)) % 34.21/34.47 (define @t202 () (_ @t19 @t4 @t93)) % 34.21/34.47 (define @t203 () (_ @t19 @t1 @t93)) % 34.21/34.47 (define @t204 () (forall @t98 (or @t186 (not @t203) @t202))) % 34.21/34.47 (define @t205 () (not @t204)) % 34.21/34.47 (define @t206 () (_ @t19 @t1 @t4)) % 34.21/34.47 (define @t207 () (forall @t12 (or @t186 @t206))) % 34.21/34.47 (define @t208 () (not @t207)) % 34.21/34.47 (define @t209 () (or @t201 @t208 @t205 @t201 @t200 @t197 @t192)) % 34.21/34.47 (define @t210 () (@list @t19)) % 34.21/34.47 (define @t211 () (or @t208 @t205 @t201 @t200 @t197 @t192)) % 34.21/34.47 (define @t212 () (forall @t210 @t211)) % 34.21/34.47 (define @t213 () (forall @t160 @t212)) % 34.21/34.47 (define @t214 () (forall (@list @t10 @t16 @t7 @t130 @t132 @t131 @t129 @t122 @t124 @t120 @t121 @t119 @t19) @t211)) % 34.21/34.47 (define @t215 () (forall (@list @t19 @t10 @t16 @t7 @t130 @t132 @t131 @t129 @t122 @t124 @t120 @t121 @t119) @t211)) % 34.21/34.47 (define @t216 () (@list @t130 @t132 @t131 @t129 @t122 @t124 @t120 @t121 @t119)) % 34.21/34.47 (define @t217 () (forall @t216 @t211)) % 34.21/34.47 (define @t218 () (forall @t216 @t187)) % 34.21/34.47 (define @t219 () (forall (@list @t122 @t124 @t120 @t121 @t119) @t190)) % 34.21/34.47 (define @t220 () (@var "BOUND_VARIABLE_7721" tptp.a)) % 34.21/34.47 (define @t221 () (@var "BOUND_VARIABLE_7719" tptp.a)) % 34.21/34.47 (define @t222 () (forall @t216 @t190)) % 34.21/34.47 (define @t223 () (forall (@list @t130 @t132 @t131 @t129) @t191)) % 34.21/34.47 (define @t224 () (@var "BOUND_VARIABLE_7685" tptp.a)) % 34.21/34.47 (define @t225 () (@var "BOUND_VARIABLE_7683" tptp.a)) % 34.21/34.47 (define @t226 () (forall @t216 @t191)) % 34.21/34.47 (define @t227 () (and @t226 @t222 @t218)) % 34.21/34.47 (define @t228 () (forall @t216 @t192)) % 34.21/34.47 (define @t229 () (or @t208 @t205 @t201 @t200 @t197 @t228)) % 34.21/34.47 (define @t230 () (_ @t16 @t221 (_ @t29 @t221) (_ @t26 @t220))) % 34.21/34.47 (define @t231 () (not (_ @t19 @t221 @t220))) % 34.21/34.47 (define @t232 () (_ @t26 @t25)) % 34.21/34.47 (define @t233 () (_ @t37 @t28)) % 34.21/34.47 (define @t234 () (_ @t16 @t28 @t233 @t232)) % 34.21/34.47 (define @t235 () (forall @t35 (or @t189 @t234))) % 34.21/34.47 (define @t236 () (not @t235)) % 34.21/34.47 (define @t237 () (_ @t37 @t25)) % 34.21/34.47 (define @t238 () (_ @t29 @t28)) % 34.21/34.47 (define @t239 () (_ @t16 @t28 @t238 @t237)) % 34.21/34.47 (define @t240 () (forall @t35 (or @t189 @t239))) % 34.21/34.47 (define @t241 () (not @t240)) % 34.21/34.47 (define @t242 () (or @t241 @t236 @t231 @t230)) % 34.21/34.47 (define @t243 () (@list @t29 @t37 @t26 @t221 @t220)) % 34.21/34.47 (define @t244 () (_ @t16 @t225 (_ @t37 @t225) (_ @t29 @t224))) % 34.21/34.47 (define @t245 () (not (_ @t19 @t225 @t224))) % 34.21/34.47 (define @t246 () (or @t241 @t245 @t244)) % 34.21/34.47 (define @t247 () (@list @t29 @t37 @t225 @t224)) % 34.21/34.47 (define @t248 () (and (forall @t247 @t246) (forall @t243 @t242) @t187)) % 34.21/34.47 (define @t249 () (or @t208 @t205 @t201 @t200 @t197 @t248)) % 34.21/34.47 (define @t250 () (or @t200 @t197 @t248)) % 34.21/34.47 (define @t251 () (or @t208 @t205 @t201)) % 34.21/34.47 (define @t252 () (=> @t196 @t248)) % 34.21/34.47 (define @t253 () (=> @t199 @t252)) % 34.21/34.47 (define @t254 () (and @t207 @t204 @t92)) % 34.21/34.47 (define @t255 () (not @t11)) % 34.21/34.47 (define @t256 () (or @t255 @t9)) % 34.21/34.47 (define @t257 () (not @t21)) % 34.21/34.47 (define @t258 () (or @t257 @t18)) % 34.21/34.47 (define @t259 () (or @t231 @t230)) % 34.21/34.47 (define @t260 () (or @t241 @t236 @t259)) % 34.21/34.47 (define @t261 () (forall @t243 @t260)) % 34.21/34.47 (define @t262 () (@list @t221 @t220)) % 34.21/34.47 (define @t263 () (forall @t262 @t260)) % 34.21/34.47 (define @t264 () (forall @t262 @t259)) % 34.21/34.47 (define @t265 () (@list @t28 @t25)) % 34.21/34.47 (define @t266 () (or @t241 @t236 @t264)) % 34.21/34.47 (define @t267 () (_ @t16 @t28 @t238 @t232)) % 34.21/34.47 (define @t268 () (forall @t35 (or @t189 @t267))) % 34.21/34.47 (define @t269 () (or @t241 @t236 @t268)) % 34.21/34.47 (define @t270 () (and @t240 @t235)) % 34.21/34.47 (define @t271 () (_ @t31 @t238)) % 34.21/34.47 (define @t272 () (not @t34)) % 34.21/34.47 (define @t273 () (or @t272 @t33)) % 34.21/34.47 (define @t274 () (_ @t31 @t233)) % 34.21/34.47 (define @t275 () (or @t272 @t40)) % 34.21/34.47 (define @t276 () (or @t272 @t43)) % 34.21/34.47 (define @t277 () (or @t245 @t244)) % 34.21/34.47 (define @t278 () (or @t241 @t277)) % 34.21/34.47 (define @t279 () (forall @t247 @t278)) % 34.21/34.47 (define @t280 () (@list @t225 @t224)) % 34.21/34.47 (define @t281 () (forall @t280 @t278)) % 34.21/34.47 (define @t282 () (forall @t280 @t277)) % 34.21/34.47 (define @t283 () (or @t241 @t282)) % 34.21/34.47 (define @t284 () (_ @t29 @t25)) % 34.21/34.47 (define @t285 () (_ @t16 @t28 @t233 @t284)) % 34.21/34.47 (define @t286 () (forall @t35 (or @t189 @t285))) % 34.21/34.47 (define @t287 () (or @t272 @t50)) % 34.21/34.47 (define @t288 () (@list @t141 @t142 @t138 @t139 @t137)) % 34.21/34.47 (define @t289 () (forall @t288 @t195)) % 34.21/34.47 (define @t290 () (forall @t288 @t56)) % 34.21/34.47 (define @t291 () (forall (@list @t138 @t139 @t137) @t140)) % 34.21/34.47 (define @t292 () (forall @t288 @t140)) % 34.21/34.47 (define @t293 () (forall (@list @t141 @t142) @t143)) % 34.21/34.47 (define @t294 () (forall @t288 @t143)) % 34.21/34.47 (define @t295 () (and @t294 @t292 @t290)) % 34.21/34.47 (define @t296 () (forall @t288 @t144)) % 34.21/34.47 (define @t297 () (or @t194 @t296)) % 34.21/34.47 (define @t298 () (_ @t16 @t4 @t58 @t57)) % 34.21/34.47 (define @t299 () (_ @t16 @t4 @t61 @t57)) % 34.21/34.47 (define @t300 () (_ @t16 @t4 @t58 @t61)) % 34.21/34.47 (define @t301 () (not @t300)) % 34.21/34.47 (define @t302 () (_ @t16 @t4 @t61 @t58)) % 34.21/34.47 (define @t303 () (and (forall @t69 (or @t301 @t302)) (forall @t66 (or @t301 (not @t299) @t298)) @t56)) % 34.21/34.47 (define @t304 () (not @t72)) % 34.21/34.47 (define @t305 () (or @t304 @t303)) % 34.21/34.47 (define @t306 () (not @t63)) % 34.21/34.47 (define @t307 () (not @t64)) % 34.21/34.47 (define @t308 () (or @t307 @t306 @t60)) % 34.21/34.47 (define @t309 () (or @t307 @t68)) % 34.21/34.47 (define @t310 () (@list @t151 @t152 @t148 @t149 @t147)) % 34.21/34.47 (define @t311 () (forall @t310 @t198)) % 34.21/34.47 (define @t312 () (forall @t310 @t77)) % 34.21/34.47 (define @t313 () (forall (@list @t148 @t149 @t147) @t150)) % 34.21/34.47 (define @t314 () (forall @t310 @t150)) % 34.21/34.47 (define @t315 () (forall (@list @t151 @t152) @t153)) % 34.21/34.47 (define @t316 () (forall @t310 @t153)) % 34.21/34.47 (define @t317 () (and @t316 @t314 @t312)) % 34.21/34.47 (define @t318 () (forall @t310 @t154)) % 34.21/34.47 (define @t319 () (or @t186 @t318)) % 34.21/34.47 (define @t320 () (_ @t16 @t4 @t78 @t57)) % 34.21/34.47 (define @t321 () (_ @t16 @t4 @t58 @t78)) % 34.21/34.47 (define @t322 () (not @t321)) % 34.21/34.47 (define @t323 () (_ @t16 @t4 @t78 @t58)) % 34.21/34.47 (define @t324 () (and (forall @t86 (or @t322 @t323)) (forall @t83 (or @t322 (not @t320) @t298)) @t77)) % 34.21/34.47 (define @t325 () (or @t257 @t324)) % 34.21/34.47 (define @t326 () (not @t80)) % 34.21/34.47 (define @t327 () (not @t81)) % 34.21/34.47 (define @t328 () (or @t327 @t326 @t60)) % 34.21/34.47 (define @t329 () (or @t327 @t85)) % 34.21/34.47 (define @t330 () (not @t96)) % 34.21/34.47 (define @t331 () (or @t257 @t330 @t94)) % 34.21/34.47 (define @t332 () (or @t257 @t100)) % 34.21/34.47 (define @t333 () (lambda @t14 (forall @t12 (or @t164 (_ @t166 @t4 @t112 @t111))))) % 34.21/34.47 (define @t334 () (@purify @t333)) % 34.21/34.47 (define @t335 () (lambda @t14 (forall @t12 (or @t164 (_ @t162 @t4 @t112 @t111))))) % 34.21/34.47 (define @t336 () (@purify @t335)) % 34.21/34.47 (define @t337 () (= @t336 @t334)) % 34.21/34.47 (define @t338 () (@quantifiers_skolemize @t161 11)) % 34.21/34.47 (define @t339 () (@quantifiers_skolemize @t161 9)) % 34.21/34.47 (define @t340 () (_ @t339 @t338)) % 34.21/34.47 (define @t341 () (@quantifiers_skolemize @t161 10)) % 34.21/34.47 (define @t342 () (@quantifiers_skolemize @t161 7)) % 34.21/34.47 (define @t343 () (_ @t342 @t341)) % 34.21/34.47 (define @t344 () (_ @t162 @t341 @t343 @t340)) % 34.21/34.47 (define @t345 () (_ @t163 @t341 @t338)) % 34.21/34.47 (define @t346 () (not @t345)) % 34.21/34.47 (define @t347 () (@quantifiers_skolemize @t161 8)) % 34.21/34.47 (define @t348 () (not (_ @t163 @t28 @t25))) % 34.21/34.47 (define @t349 () (forall @t35 (or @t348 (_ @t162 @t28 (_ @t347 @t28) (_ @t339 @t25))))) % 34.21/34.47 (define @t350 () (not @t349)) % 34.21/34.47 (define @t351 () (forall @t35 (or @t348 (_ @t162 @t28 (_ @t342 @t28) (_ @t347 @t25))))) % 34.21/34.47 (define @t352 () (not @t351)) % 34.21/34.47 (define @t353 () (or @t352 @t350 @t346 @t344)) % 34.21/34.47 (define @t354 () (@quantifiers_skolemize @t161 6)) % 34.21/34.47 (define @t355 () (@quantifiers_skolemize @t161 3)) % 34.21/34.47 (define @t356 () (_ @t355 @t354)) % 34.21/34.47 (define @t357 () (@quantifiers_skolemize @t161 5)) % 34.21/34.47 (define @t358 () (@quantifiers_skolemize @t161 4)) % 34.21/34.47 (define @t359 () (_ @t358 @t357)) % 34.21/34.47 (define @t360 () (_ @t162 @t357 @t359 @t356)) % 34.21/34.47 (define @t361 () (_ @t163 @t357 @t354)) % 34.21/34.47 (define @t362 () (not @t361)) % 34.21/34.47 (define @t363 () (forall @t35 (or @t348 (_ @t162 @t28 (_ @t355 @t28) (_ @t358 @t25))))) % 34.21/34.47 (define @t364 () (not @t363)) % 34.21/34.47 (define @t365 () (or @t364 @t362 @t360)) % 34.21/34.47 (define @t366 () (and @t365 @t353 @t337)) % 34.21/34.47 (define @t367 () (_ @t162 @t4)) % 34.21/34.47 (define @t368 () (forall @t145 (or (not (_ @t163 @t4 @t4)) (and (or (not (_ @t162 @t4 @t141 @t142)) (_ @t162 @t4 @t142 @t141)) (or (not (_ @t162 @t4 @t138 @t139)) (not (_ @t162 @t4 @t139 @t137)) (_ @t162 @t4 @t138 @t137)) (= @t367 (_ @t166 @t4)))))) % 34.21/34.47 (define @t369 () (not @t368)) % 34.21/34.47 (define @t370 () (forall @t155 (or @t164 (and (or (not (_ @t162 @t4 @t151 @t152)) (_ @t162 @t4 @t152 @t151)) (or (not (_ @t162 @t4 @t148 @t149)) (not (_ @t162 @t4 @t149 @t147)) (_ @t162 @t4 @t148 @t147)) (= @t367 (_ @t162 @t1)))))) % 34.21/34.47 (define @t371 () (not @t370)) % 34.21/34.47 (define @t372 () (forall @t98 (or @t164 (not (_ @t163 @t1 @t93)) (_ @t163 @t4 @t93)))) % 34.21/34.47 (define @t373 () (not @t372)) % 34.21/34.47 (define @t374 () (forall @t12 (or @t164 (_ @t163 @t1 @t4)))) % 34.21/34.47 (define @t375 () (not @t374)) % 34.21/34.47 (define @t376 () (or @t375 @t373 @t371 @t369 @t366)) % 34.21/34.47 (define @t377 () (not @t376)) % 34.21/34.47 (define @t378 () (not @t161)) % 34.21/34.47 (define @t379 () (= @t333 @t335)) % 34.21/34.47 (define @t380 () (and @t365 @t353 @t379)) % 34.21/34.47 (define @t381 () (or @t375 @t373 @t371 @t369 @t380)) % 34.21/34.47 (define @t382 () (not @t381)) % 34.21/34.47 (define @t383 () (@list true)) % 34.21/34.47 (define @t384 () (@list @t376)) % 34.21/34.47 (define @t385 () (_ @t163 @t169 @t170)) % 34.21/34.47 (define @t386 () (or @t176 @t385)) % 34.21/34.47 (define @t387 () (_ @t162 @t170)) % 34.21/34.47 (define @t388 () (@purify @t387)) % 34.21/34.47 (define @t389 () (_ @t388 @t173 @t172)) % 34.21/34.47 (define @t390 () (_ @t107 @t169)) % 34.21/34.47 (define @t391 () (_ @t109 @t170)) % 34.21/34.47 (define @t392 () (_ (_ @t387 @t173) @t172)) % 34.21/34.47 (define @t393 () (= @t392 @t389)) % 34.21/34.47 (define @t394 () (= @t387 @t388)) % 34.21/34.47 (define @t395 () (and @t394 @t393)) % 34.21/34.47 (define @t396 () (_ @t387 @t173 @t172)) % 34.21/34.47 (define @t397 () (= @t392 @t396)) % 34.21/34.47 (define @t398 () (_ @t163 @t170 @t170)) % 34.21/34.47 (define @t399 () (not @t385)) % 34.21/34.47 (define @t400 () (or @t176 @t399 @t398)) % 34.21/34.47 (define @t401 () (_ @t166 @t170)) % 34.21/34.47 (define @t402 () (@purify @t401)) % 34.21/34.47 (define @t403 () (_ @t402 @t173 @t172)) % 34.21/34.47 (define @t404 () (_ (_ @t401 @t173) @t172)) % 34.21/34.47 (define @t405 () (= @t404 @t403)) % 34.21/34.47 (define @t406 () (= @t401 @t402)) % 34.21/34.47 (define @t407 () (and @t406 @t405)) % 34.21/34.47 (define @t408 () (_ @t401 @t173 @t172)) % 34.21/34.47 (define @t409 () (= @t404 @t408)) % 34.21/34.47 (define @t410 () (= @t387 @t401)) % 34.21/34.47 (define @t411 () (and (or (not (_ @t162 @t170 @t172 @t173)) @t178) (or (not (_ @t162 @t170 @t173 @t173)) (not @t178) @t178) @t410)) % 34.21/34.47 (define @t412 () (not @t398)) % 34.21/34.47 (define @t413 () (or @t412 @t411)) % 34.21/34.47 (define @t414 () (not @t406)) % 34.21/34.47 (define @t415 () (not @t403)) % 34.21/34.47 (define @t416 () (not @t410)) % 34.21/34.47 (define @t417 () (not @t394)) % 34.21/34.47 (define @t418 () (not @t389)) % 34.21/34.47 (define @t419 () (= false true)) % 34.21/34.47 (define @t420 () (and @t403 @t406 @t410 @t394 @t418)) % 34.21/34.47 (define @t421 () (not @t167)) % 34.21/34.47 (define @t422 () (@quantifiers_skolemize @t167 1)) % 34.21/34.47 (define @t423 () (_ @t107 @t422)) % 34.21/34.47 (define @t424 () (@quantifiers_skolemize @t167 0)) % 34.21/34.47 (define @t425 () (_ @t109 @t424)) % 34.21/34.47 (define @t426 () (_ @t166 @t424 @t425 @t423)) % 34.21/34.47 (define @t427 () (_ @t163 @t424 @t422)) % 34.21/34.47 (define @t428 () (not @t427)) % 34.21/34.47 (define @t429 () (or @t428 @t426)) % 34.21/34.47 (define @t430 () (not @t429)) % 34.21/34.47 (define @t431 () (@list @t424 @t422)) % 34.21/34.47 (define @t432 () (_ @t162 @t424 @t425 @t423)) % 34.21/34.47 (define @t433 () (or @t428 @t432)) % 34.21/34.47 (define @t434 () (_ @t163 @t422 @t424)) % 34.21/34.47 (define @t435 () (or @t428 @t434)) % 34.21/34.47 (define @t436 () (_ @t166 @t424)) % 34.21/34.47 (define @t437 () (@purify @t436)) % 34.21/34.47 (define @t438 () (_ @t437 @t425 @t423)) % 34.21/34.47 (define @t439 () (_ @t107 @t422)) % 34.21/34.47 (define @t440 () (_ @t109 @t424)) % 34.21/34.47 (define @t441 () (_ (_ @t436 @t425) @t423)) % 34.21/34.47 (define @t442 () (= @t441 @t438)) % 34.21/34.47 (define @t443 () (= @t436 @t437)) % 34.21/34.47 (define @t444 () (and @t443 @t442)) % 34.21/34.47 (define @t445 () (_ @t436 @t425 @t423)) % 34.21/34.47 (define @t446 () (= @t441 @t445)) % 34.21/34.47 (define @t447 () (_ @t162 @t424)) % 34.21/34.47 (define @t448 () (@purify @t447)) % 34.21/34.47 (define @t449 () (_ @t448 @t425 @t423)) % 34.21/34.47 (define @t450 () (_ (_ @t447 @t425) @t423)) % 34.21/34.47 (define @t451 () (= @t450 @t449)) % 34.21/34.47 (define @t452 () (= @t447 @t448)) % 34.21/34.47 (define @t453 () (and @t452 @t451)) % 34.21/34.47 (define @t454 () (_ @t447 @t425 @t423)) % 34.21/34.47 (define @t455 () (= @t450 @t454)) % 34.21/34.47 (define @t456 () (_ @t163 @t424 @t424)) % 34.21/34.47 (define @t457 () (not @t434)) % 34.21/34.47 (define @t458 () (or @t428 @t457 @t456)) % 34.21/34.47 (define @t459 () (or (not (_ @t162 @t424 @t425 @t425)) (not @t432) @t432)) % 34.21/34.47 (define @t460 () (or (not (_ @t162 @t424 @t423 @t425)) @t432)) % 34.21/34.47 (define @t461 () (and @t460 @t459 (= @t447 @t436))) % 34.21/34.47 (define @t462 () (not @t456)) % 34.21/34.47 (define @t463 () (or @t462 @t461)) % 34.21/34.47 (define @t464 () (= @t436 @t447)) % 34.21/34.47 (define @t465 () (and @t460 @t459 @t464)) % 34.21/34.47 (define @t466 () (or @t462 @t465)) % 34.21/34.47 (define @t467 () (@list false)) % 34.21/34.47 (define @t468 () (not @t464)) % 34.21/34.47 (define @t469 () (not @t452)) % 34.21/34.47 (define @t470 () (not @t449)) % 34.21/34.47 (define @t471 () (not @t443)) % 34.21/34.47 (define @t472 () (not @t438)) % 34.21/34.47 (define @t473 () (and @t449 @t452 @t464 @t443 @t472)) % 34.21/34.47 (define @t474 () (= (_ @t333 @t109 @t107) @t167)) % 34.21/34.47 (define @t475 () (_ @t334 @t109 @t107)) % 34.21/34.47 (define @t476 () (= (_ @t335 @t109 @t107) @t165)) % 34.21/34.47 (define @t477 () (_ @t336 @t109 @t107)) % 34.21/34.47 (define @t478 () (= @t477 @t475)) % 34.21/34.47 (define @t479 () (not @t478)) % 34.21/34.47 (define @t480 () (or @t337 @t479)) % 34.21/34.47 (define @t481 () (_ @t347 @t341)) % 34.21/34.47 (define @t482 () (_ @t162 @t341 @t343 @t481)) % 34.21/34.47 (define @t483 () (_ @t163 @t341 @t341)) % 34.21/34.47 (define @t484 () (not @t483)) % 34.21/34.47 (define @t485 () (or @t484 @t482)) % 34.21/34.47 (define @t486 () (@list @t341 @t338)) % 34.21/34.47 (define @t487 () (_ @t162 @t341 @t481 @t340)) % 34.21/34.47 (define @t488 () (or @t346 @t487)) % 34.21/34.47 (define @t489 () (_ @t163 @t338 @t341)) % 34.21/34.47 (define @t490 () (or @t346 @t489)) % 34.21/34.47 (define @t491 () (not @t489)) % 34.21/34.47 (define @t492 () (or @t346 @t491 @t483)) % 34.21/34.47 (define @t493 () (not @t487)) % 34.21/34.47 (define @t494 () (not @t482)) % 34.21/34.47 (define @t495 () (or @t494 @t493 @t344)) % 34.21/34.47 (define @t496 () (_ @t162 @t341 @t356 @t356)) % 34.21/34.47 (define @t497 () (or (not @t496) @t496)) % 34.21/34.47 (define @t498 () (and @t497 @t495)) % 34.21/34.47 (define @t499 () (_ @t162 @t341)) % 34.21/34.47 (define @t500 () (and @t497 @t495 (= @t499 @t499))) % 34.21/34.47 (define @t501 () (or @t484 @t500)) % 34.21/34.47 (define @t502 () (or @t484 @t498)) % 34.21/34.47 (define @t503 () (@list true false false)) % 34.21/34.47 (define @t504 () (@list @t365)) % 34.21/34.47 (define @t505 () (_ @t162 @t354 @t356 @t359)) % 34.21/34.47 (define @t506 () (_ @t163 @t354 @t357)) % 34.21/34.47 (define @t507 () (not @t506)) % 34.21/34.47 (define @t508 () (or @t507 @t505)) % 34.21/34.47 (define @t509 () (or @t362 @t506)) % 34.21/34.47 (define @t510 () (@list false false)) % 34.21/34.47 (define @t511 () (_ @t162 @t354)) % 34.21/34.47 (define @t512 () (= (_ @t162 @t357) @t511)) % 34.21/34.47 (define @t513 () (_ @t162 @t357 @t356 @t356)) % 34.21/34.47 (define @t514 () (not @t513)) % 34.21/34.47 (define @t515 () (and (or @t514 @t513) (or @t514 @t514 @t513) @t512)) % 34.21/34.47 (define @t516 () (or @t362 @t515)) % 34.21/34.47 (define @t517 () (_ @t511 @t359)) % 34.21/34.47 (define @t518 () (@purify @t517)) % 34.21/34.47 (define @t519 () (_ @t518 @t356)) % 34.21/34.47 (define @t520 () (_ @t355 @t354)) % 34.21/34.47 (define @t521 () (_ @t358 @t357)) % 34.21/34.47 (define @t522 () (_ @t162 @t354 @t359 @t356)) % 34.21/34.47 (define @t523 () (_ @t517 @t356)) % 34.21/34.47 (define @t524 () (_ @t511 @t521)) % 34.21/34.47 (define @t525 () (= @t523 @t519)) % 34.21/34.47 (define @t526 () (= @t517 @t518)) % 34.21/34.47 (define @t527 () (and @t526 @t525)) % 34.21/34.47 (define @t528 () (_ @t517 @t356)) % 34.21/34.47 (define @t529 () (= @t523 @t528)) % 34.21/34.47 (define @t530 () (not @t360)) % 34.21/34.47 (define @t531 () (not @t512)) % 34.21/34.47 (define @t532 () (not @t526)) % 34.21/34.47 (define @t533 () (not @t522)) % 34.21/34.47 (define @t534 () (and @t512 @t526 @t522 @t530)) % 34.21/34.47 (define @t535 () (_ @t163 @t354 @t354)) % 34.21/34.47 (define @t536 () (or @t507 @t362 @t535)) % 34.21/34.47 (define @t537 () (not @t505)) % 34.21/34.47 (define @t538 () (or @t537 @t522)) % 34.21/34.47 (define @t539 () (and @t538 (or @t537 (not (_ @t162 @t354 @t359 @t359)) @t505) (= @t511 (_ @t166 @t354)))) % 34.21/34.47 (define @t540 () (not @t535)) % 34.21/34.47 (define @t541 () (or @t540 @t539)) % 34.21/34.47 (assume @p1 @t106) % 34.21/34.47 (assume @p2 true) % 34.21/34.47 (step @p3 :rule cnf_equiv_neg2 :args (@t168)) % 34.21/34.47 (assume-push @p1092 @t167) % 34.21/34.47 (step @p5 :rule instantiate :premises (@p1092) :args (@t171)) % 34.21/34.47 (step-pop @p1093 :rule scope :premises (@p5)) % 34.21/34.47 (step @p6 :rule process_scope :premises (@p1093) :args (@t177)) % 34.21/34.47 (step @p8 :rule implies_elim :premises (@p6)) % 34.21/34.47 (step @p9 :rule refl :args (@t180)) % 34.21/34.47 (step @p10 :rule bool-double-not-elim :args (@t165)) % 34.21/34.47 (step @p11 :rule nary_cong :premises (@p10 @p9) :args ((or (not @t181) @t180))) % 34.21/34.47 (assume-push @p1094 @t181) % 34.21/34.47 (step @p13 :rule skolemize :premises (@p1094)) % 34.21/34.47 (step-pop @p1095 :rule scope :premises (@p13)) % 34.21/34.47 (step @p14 :rule process_scope :premises (@p1095) :args (@t180)) % 34.21/34.47 (step @p16 :rule implies_elim :premises (@p14)) % 34.21/34.47 (step @p17 :rule eq_resolve :premises (@p16 @p11)) % 34.21/34.47 (step @p18 :rule bool-double-not-elim :args (@t175)) % 34.21/34.47 (step @p19 :rule refl :args (@t179)) % 34.21/34.47 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t179 (not @t176)))) % 34.21/34.47 (step @p21 :rule cnf_or_neg :args (@t179 0)) % 34.21/34.47 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 34.21/34.47 (step @p23 :rule reordering :premises (@p22) :args ((or @t175 @t179))) % 34.21/34.47 (step @p24 :rule cnf_or_neg :args (@t179 1)) % 34.21/34.47 (step @p25 :rule aci_norm :args ((= (or @t158 @t157 false @t156 @t146 @t136) @t159))) % 34.21/34.47 (step @p26 :rule eq-symm :args (@t116 @t118)) % 34.21/34.47 (step @p27 :rule refl :args (@t128)) % 34.21/34.47 (step @p28 :rule refl :args (@t135)) % 34.21/34.47 (step @p29 :rule nary_cong :premises (@p28 @p27 @p26) :args (@t182)) % 34.21/34.47 (step @p30 :rule refl :args (@t146)) % 34.21/34.47 (step @p31 :rule refl :args (@t156)) % 34.21/34.47 (step @p32 :rule evaluate :args ((not true))) % 34.21/34.47 (step @p33 :rule eq-refl :args (@t10)) % 34.21/34.47 (step @p34 :rule cong :premises (@p33) :args (@t183)) % 34.21/34.47 (step @p35 :rule trans :premises (@p34 @p32)) % 34.21/34.47 (step @p36 :rule refl :args (@t157)) % 34.21/34.47 (step @p37 :rule refl :args (@t158)) % 34.21/34.47 (step @p38 :rule nary_cong :premises (@p37 @p36 @p35 @p31 @p30 @p29) :args (@t184)) % 34.21/34.47 (step @p39 :rule trans :premises (@p38 @p25)) % 34.21/34.47 (step @p40 :rule cong :premises (@p39) :args ((forall @t160 @t184))) % 34.21/34.47 (step @p41 :rule quant-var-elim-eq :args ((= (forall @t210 @t209) @t184))) % 34.21/34.47 (step @p42 :rule aci_norm :args ((= @t211 @t209))) % 34.21/34.47 (step @p43 :rule cong :premises (@p42) :args (@t212)) % 34.21/34.47 (step @p44 :rule trans :premises (@p43 @p41)) % 34.21/34.47 (step @p45 :rule cong :premises (@p44) :args (@t213)) % 34.21/34.47 (step @p46 :rule quant-merge-prenex :args ((= @t213 @t214))) % 34.21/34.47 (step @p47 :rule symm :premises (@p46)) % 34.21/34.47 (step @p48 :rule quant_var_reordering :args ((= @t215 @t214))) % 34.21/34.47 (step @p49 :rule trans :premises (@p48 @p47 @p45)) % 34.21/34.47 (step @p50 :rule trans :premises (@p49 @p40)) % 34.21/34.47 (step @p51 :rule quant-merge-prenex :args ((= (forall @t104 @t217) @t215))) % 34.21/34.47 (step @p52 :rule quant-unused-vars :args ((= @t218 @t187))) % 34.21/34.47 (step @p53 :rule alpha_equiv :args (@t219 (@list @t122 @t124 @t120 @t121 @t119) (@list @t29 @t37 @t26 @t221 @t220))) % 34.21/34.47 (step @p54 :rule quant-unused-vars :args ((= @t222 @t219))) % 34.21/34.47 (step @p55 :rule trans :premises (@p54 @p53)) % 34.21/34.47 (step @p56 :rule alpha_equiv :args (@t223 (@list @t130 @t132 @t131 @t129) (@list @t29 @t37 @t225 @t224))) % 34.21/34.47 (step @p57 :rule quant-unused-vars :args ((= @t226 @t223))) % 34.21/34.47 (step @p58 :rule trans :premises (@p57 @p56)) % 34.21/34.47 (step @p59 :rule nary_cong :premises (@p58 @p55 @p52) :args (@t227)) % 34.21/34.47 (step @p60 :rule quant-miniscope-and :args ((= @t228 @t227))) % 34.21/34.47 (step @p61 :rule trans :premises (@p60 @p59)) % 34.21/34.47 (step @p62 :rule refl :args (@t197)) % 34.21/34.47 (step @p63 :rule refl :args (@t200)) % 34.21/34.47 (step @p64 :rule refl :args (@t201)) % 34.21/34.47 (step @p65 :rule refl :args (@t205)) % 34.21/34.47 (step @p66 :rule refl :args (@t208)) % 34.21/34.47 (step @p67 :rule nary_cong :premises (@p66 @p65 @p64 @p63 @p62 @p61) :args (@t229)) % 34.21/34.47 (step @p68 :rule quant-miniscope-or :args ((= @t217 @t229))) % 34.21/34.47 (step @p69 :rule trans :premises (@p68 @p67)) % 34.21/34.47 (step @p70 :rule symm :premises (@p69)) % 34.21/34.47 (step @p71 :rule cong :premises (@p70) :args ((forall @t104 @t249))) % 34.21/34.47 (step @p72 :rule trans :premises (@p71 @p51)) % 34.21/34.47 (step @p73 :rule trans :premises (@p72 @p50)) % 34.21/34.47 (step @p74 :rule aci_norm :args ((= (or @t251 @t250) @t249))) % 34.21/34.47 (step @p75 :rule aci_norm :args ((= (or @t200 (or @t197 @t248)) @t250))) % 34.21/34.47 (step @p76 :rule bool-impl-elim :args (@t196 @t248)) % 34.21/34.47 (step @p77 :rule nary_cong :premises (@p63 @p76) :args ((or @t200 @t252))) % 34.21/34.47 (step @p78 :rule trans :premises (@p77 @p75)) % 34.21/34.47 (step @p79 :rule bool-impl-elim :args (@t199 @t252)) % 34.21/34.47 (step @p80 :rule trans :premises (@p79 @p78)) % 34.21/34.47 (step @p81 :rule aci_norm :args ((= (or @t208 (or @t205 @t201)) @t251))) % 34.21/34.47 (step @p82 :rule bool-and-de-morgan :args (@t204 @t92 true)) % 34.21/34.47 (step @p83 :rule nary_cong :premises (@p66 @p82) :args ((or @t208 (not (and @t204 @t92))))) % 34.21/34.47 (step @p84 :rule bool-and-de-morgan :args (@t207 @t204 (and @t92))) % 34.21/34.47 (step @p85 :rule trans :premises (@p84 @p83)) % 34.21/34.47 (step @p86 :rule trans :premises (@p85 @p81)) % 34.21/34.47 (step @p87 :rule nary_cong :premises (@p86 @p80) :args ((or (not @t254) @t253))) % 34.21/34.47 (step @p88 :rule trans :premises (@p87 @p74)) % 34.21/34.47 (step @p89 :rule bool-impl-elim :args (@t254 @t253)) % 34.21/34.47 (step @p90 :rule trans :premises (@p89 @p88)) % 34.21/34.47 (step @p91 :rule cong :premises (@p90) :args ((forall @t104 (=> @t254 @t253)))) % 34.21/34.47 (step @p92 :rule trans :premises (@p91 @p73)) % 34.21/34.47 (step @p93 :rule refl :args ((_ @t7 @t4 @t6 @t3))) % 34.21/34.47 (step @p94 :rule refl :args (@t111)) % 34.21/34.47 (step @p95 :rule refl :args (@t112)) % 34.21/34.47 (step @p96 :rule refl :args (@t4)) % 34.21/34.47 (step @p97 :rule cong :premises (@p96 @p95 @p94) :args (@t117)) % 34.21/34.47 (step @p98 :rule trans :premises (@p97 @p93)) % 34.21/34.47 (step @p99 :rule refl :args (@t8)) % 34.21/34.47 (step @p100 :rule ho_cong :premises (@p99 @p95)) % 34.21/34.47 (step @p101 :rule ho_cong :premises (@p100 @p94)) % 34.21/34.47 (step @p102 :rule cong :premises (@p101 @p98) :args ((= (_ (_ @t8 @t112) @t111) @t117))) % 34.21/34.47 (step @p103 :rule symm :premises (@p102)) % 34.21/34.47 (step @p104 :rule refl :args (@t9)) % 34.21/34.47 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 34.21/34.47 (step @p106 :rule refl :args (@t3)) % 34.21/34.47 (step @p107 :rule cong :premises (@p106 @p94) :args ((= @t3 @t111))) % 34.21/34.47 (step @p108 :rule symm :premises (@p107)) % 34.21/34.47 (step @p109 :rule eq_resolve :premises (@p106 @p108)) % 34.21/34.47 (step @p110 :rule refl :args (@t6)) % 34.21/34.47 (step @p111 :rule cong :premises (@p110 @p95) :args ((= @t6 @t112))) % 34.21/34.47 (step @p112 :rule symm :premises (@p111)) % 34.21/34.47 (step @p113 :rule eq_resolve :premises (@p110 @p112)) % 34.21/34.47 (step @p114 :rule ho_cong :premises (@p99 @p113)) % 34.21/34.47 (step @p115 :rule ho_cong :premises (@p114 @p109)) % 34.21/34.47 (step @p116 :rule trans :premises (@p115 @p105)) % 34.21/34.47 (step @p117 :rule refl :args (@t114)) % 34.21/34.47 (step @p118 :rule refl :args (@t11)) % 34.21/34.47 (step @p119 :rule cong :premises (@p118 @p117) :args ((= @t11 @t114))) % 34.21/34.47 (step @p120 :rule symm :premises (@p119)) % 34.21/34.47 (step @p121 :rule eq_resolve :premises (@p118 @p120)) % 34.21/34.47 (step @p122 :rule cong :premises (@p121) :args (@t255)) % 34.21/34.47 (step @p123 :rule nary_cong :premises (@p122 @p116) :args (@t256)) % 34.21/34.47 (step @p124 :rule cong :premises (@p123) :args ((forall @t12 @t256))) % 34.21/34.47 (step @p125 :rule bool-impl-elim :args (@t11 @t9)) % 34.21/34.47 (step @p126 :rule cong :premises (@p125) :args (@t13)) % 34.21/34.47 (step @p127 :rule trans :premises (@p126 @p124)) % 34.21/34.47 (step @p128 :rule cong :premises (@p127) :args (@t15)) % 34.21/34.47 (step @p129 :rule refl :args ((_ @t16 @t4 @t6 @t3))) % 34.21/34.47 (step @p130 :rule cong :premises (@p96 @p95 @p94) :args (@t113)) % 34.21/34.47 (step @p131 :rule trans :premises (@p130 @p129)) % 34.21/34.47 (step @p132 :rule refl :args (@t17)) % 34.21/34.47 (step @p133 :rule ho_cong :premises (@p132 @p95)) % 34.21/34.47 (step @p134 :rule ho_cong :premises (@p133 @p94)) % 34.21/34.47 (step @p135 :rule cong :premises (@p134 @p131) :args ((= (_ (_ @t17 @t112) @t111) @t113))) % 34.21/34.47 (step @p136 :rule symm :premises (@p135)) % 34.21/34.47 (step @p137 :rule refl :args (@t18)) % 34.21/34.47 (step @p138 :rule eq_resolve :premises (@p137 @p136)) % 34.21/34.47 (step @p139 :rule ho_cong :premises (@p132 @p113)) % 34.21/34.47 (step @p140 :rule ho_cong :premises (@p139 @p109)) % 34.21/34.47 (step @p141 :rule trans :premises (@p140 @p138)) % 34.21/34.47 (step @p142 :rule refl :args (@t185)) % 34.21/34.47 (step @p143 :rule refl :args (@t21)) % 34.21/34.47 (step @p144 :rule cong :premises (@p143 @p142) :args ((= @t21 @t185))) % 34.21/34.47 (step @p145 :rule symm :premises (@p144)) % 34.21/34.47 (step @p146 :rule eq_resolve :premises (@p143 @p145)) % 34.21/34.47 (step @p147 :rule cong :premises (@p146) :args (@t257)) % 34.21/34.47 (step @p148 :rule nary_cong :premises (@p147 @p141) :args (@t258)) % 34.21/34.47 (step @p149 :rule cong :premises (@p148) :args ((forall @t12 @t258))) % 34.21/34.47 (step @p150 :rule bool-impl-elim :args (@t21 @t18)) % 34.21/34.47 (step @p151 :rule cong :premises (@p150) :args (@t22)) % 34.21/34.47 (step @p152 :rule trans :premises (@p151 @p149)) % 34.21/34.47 (step @p153 :rule cong :premises (@p152) :args (@t23)) % 34.21/34.47 (step @p154 :rule cong :premises (@p153 @p128) :args (@t24)) % 34.21/34.47 (step @p155 :rule aci_norm :args ((= @t260 @t242))) % 34.21/34.47 (step @p156 :rule cong :premises (@p155) :args (@t261)) % 34.21/34.47 (step @p157 :rule quant-merge-prenex :args ((= (forall @t47 @t263) @t261))) % 34.21/34.47 (step @p158 :rule alpha_equiv :args (@t264 (@list @t221 @t220) @t265)) % 34.21/34.47 (step @p159 :rule refl :args (@t236)) % 34.21/34.47 (step @p160 :rule refl :args (@t241)) % 34.21/34.47 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158) :args (@t266)) % 34.21/34.47 (step @p162 :rule quant-miniscope-or :args ((= @t263 @t266))) % 34.21/34.47 (step @p163 :rule trans :premises (@p162 @p161)) % 34.21/34.47 (step @p164 :rule symm :premises (@p163)) % 34.21/34.47 (step @p165 :rule cong :premises (@p164) :args ((forall @t47 @t269))) % 34.21/34.47 (step @p166 :rule trans :premises (@p165 @p157)) % 34.21/34.47 (step @p167 :rule trans :premises (@p166 @p156)) % 34.21/34.47 (step @p168 :rule aci_norm :args ((= (or (or @t241 @t236) @t268) @t269))) % 34.21/34.47 (step @p169 :rule refl :args (@t268)) % 34.21/34.47 (step @p170 :rule bool-and-de-morgan :args (@t240 @t235 true)) % 34.21/34.47 (step @p171 :rule nary_cong :premises (@p170 @p169) :args ((or (not @t270) @t268))) % 34.21/34.47 (step @p172 :rule trans :premises (@p171 @p168)) % 34.21/34.47 (step @p173 :rule bool-impl-elim :args (@t270 @t268)) % 34.21/34.47 (step @p174 :rule trans :premises (@p173 @p172)) % 34.21/34.47 (step @p175 :rule cong :premises (@p174) :args ((forall @t47 (=> @t270 @t268)))) % 34.21/34.47 (step @p176 :rule trans :premises (@p175 @p167)) % 34.21/34.47 (step @p177 :rule refl :args ((_ @t16 @t28 @t30 @t27))) % 34.21/34.47 (step @p178 :rule refl :args (@t232)) % 34.21/34.47 (step @p179 :rule refl :args (@t238)) % 34.21/34.47 (step @p180 :rule refl :args (@t28)) % 34.21/34.47 (step @p181 :rule cong :premises (@p180 @p179 @p178) :args (@t267)) % 34.21/34.47 (step @p182 :rule trans :premises (@p181 @p177)) % 34.21/34.47 (step @p183 :rule refl :args (@t31)) % 34.21/34.47 (step @p184 :rule ho_cong :premises (@p183 @p179)) % 34.21/34.47 (step @p185 :rule ho_cong :premises (@p184 @p178)) % 34.21/34.47 (step @p186 :rule cong :premises (@p185 @p182) :args ((= (_ @t271 @t232) @t267))) % 34.21/34.47 (step @p187 :rule symm :premises (@p186)) % 34.21/34.47 (step @p188 :rule refl :args (@t33)) % 34.21/34.47 (step @p189 :rule eq_resolve :premises (@p188 @p187)) % 34.21/34.47 (step @p190 :rule refl :args (@t27)) % 34.21/34.47 (step @p191 :rule cong :premises (@p190 @p178) :args ((= @t27 @t232))) % 34.21/34.47 (step @p192 :rule symm :premises (@p191)) % 34.21/34.47 (step @p193 :rule eq_resolve :premises (@p190 @p192)) % 34.21/34.47 (step @p194 :rule refl :args (@t30)) % 34.21/34.47 (step @p195 :rule cong :premises (@p194 @p179) :args ((= @t30 @t238))) % 34.21/34.47 (step @p196 :rule symm :premises (@p195)) % 34.21/34.47 (step @p197 :rule eq_resolve :premises (@p194 @p196)) % 34.21/34.47 (step @p198 :rule ho_cong :premises (@p183 @p197)) % 34.21/34.47 (step @p199 :rule ho_cong :premises (@p198 @p193)) % 34.21/34.47 (step @p200 :rule trans :premises (@p199 @p189)) % 34.21/34.47 (step @p201 :rule refl :args (@t188)) % 34.21/34.47 (step @p202 :rule refl :args (@t34)) % 34.21/34.47 (step @p203 :rule cong :premises (@p202 @p201) :args ((= @t34 @t188))) % 34.21/34.47 (step @p204 :rule symm :premises (@p203)) % 34.21/34.47 (step @p205 :rule eq_resolve :premises (@p202 @p204)) % 34.21/34.47 (step @p206 :rule cong :premises (@p205) :args (@t272)) % 34.21/34.47 (step @p207 :rule nary_cong :premises (@p206 @p200) :args (@t273)) % 34.21/34.47 (step @p208 :rule cong :premises (@p207) :args ((forall @t35 @t273))) % 34.21/34.47 (step @p209 :rule bool-impl-elim :args (@t34 @t33)) % 34.21/34.47 (step @p210 :rule cong :premises (@p209) :args (@t36)) % 34.21/34.47 (step @p211 :rule trans :premises (@p210 @p208)) % 34.21/34.47 (step @p212 :rule refl :args ((_ @t16 @t28 @t38 @t27))) % 34.21/34.47 (step @p213 :rule refl :args (@t233)) % 34.21/34.47 (step @p214 :rule cong :premises (@p180 @p213 @p178) :args (@t234)) % 34.21/34.47 (step @p215 :rule trans :premises (@p214 @p212)) % 34.21/34.47 (step @p216 :rule ho_cong :premises (@p183 @p213)) % 34.21/34.47 (step @p217 :rule ho_cong :premises (@p216 @p178)) % 34.21/34.47 (step @p218 :rule cong :premises (@p217 @p215) :args ((= (_ @t274 @t232) @t234))) % 34.21/34.47 (step @p219 :rule symm :premises (@p218)) % 34.21/34.47 (step @p220 :rule refl :args (@t40)) % 34.21/34.47 (step @p221 :rule eq_resolve :premises (@p220 @p219)) % 34.21/34.47 (step @p222 :rule refl :args (@t38)) % 34.21/34.47 (step @p223 :rule cong :premises (@p222 @p213) :args ((= @t38 @t233))) % 34.21/34.47 (step @p224 :rule symm :premises (@p223)) % 34.21/34.47 (step 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@t414))) % 34.21/34.47 (assume-push @p1098 @t403) % 34.21/34.47 (assume-push @p1099 @t406) % 34.21/34.47 (assume-push @p1100 @t410) % 34.21/34.47 (assume-push @p1101 @t394) % 34.21/34.47 (assume-push @p1102 @t418) % 34.21/34.47 (step @p645 :rule evaluate :args (@t419)) % 34.21/34.47 (step @p646 :rule true_intro :premises (@p1098)) % 34.21/34.47 (step @p647 :rule trans :premises (@p559 @p1100 @p633)) % 34.21/34.47 (step @p648 :rule ho_cong :premises (@p647 @p558 @p557)) % 34.21/34.47 (step @p649 :rule false_intro :premises (@p1102)) % 34.21/34.47 (step @p650 :rule symm :premises (@p649)) % 34.21/34.47 (step @p651 :rule trans :premises (@p650 @p648 @p646)) % 34.21/34.47 (step @p652 false :rule eq_resolve :premises (@p651 @p645)) % 34.21/34.47 (step-pop @p1103 :rule scope :premises (@p652)) % 34.21/34.47 (step-pop @p1104 :rule scope :premises (@p1103)) % 34.21/34.47 (step-pop @p1105 :rule scope :premises (@p1104)) % 34.21/34.47 (step-pop @p1106 :rule scope :premises (@p1105)) % 34.21/34.47 (step-pop @p1107 :rule scope :premises (@p1106)) % 34.21/34.47 (step @p653 :rule process_scope :premises (@p1107) :args (false)) % 34.21/34.47 (assume-push @p1108 @t394) % 34.21/34.47 (assume-push @p1109 @t418) % 34.21/34.47 (assume-push @p1110 @t410) % 34.21/34.47 (assume-push @p1111 @t403) % 34.21/34.47 (assume-push @p1112 @t406) % 34.21/34.47 (step @p664 :rule and_intro :premises (@p1111 @p633 @p1110 @p632 @p1109)) % 34.21/34.47 (step-pop @p1113 :rule scope :premises (@p664)) % 34.21/34.47 (step-pop @p1114 :rule scope :premises (@p1113)) % 34.21/34.47 (step-pop @p1115 :rule scope :premises (@p1114)) % 34.21/34.47 (step-pop @p1116 :rule scope :premises (@p1115)) % 34.21/34.47 (step-pop @p1117 :rule scope :premises (@p1116)) % 34.21/34.47 (step @p665 :rule process_scope :premises (@p1117) :args (@t420)) % 34.21/34.47 (step @p671 :rule implies_elim :premises (@p665)) % 34.21/34.47 (step @p672 :rule resolution :premises (@p671 @p653) :args (true @t420)) % 34.21/34.47 (step @p673 :rule not_and :premises (@p672)) % 34.21/34.47 (step @p674 :rule eq_resolve :premises (@p673 @p639)) % 34.21/34.47 (step @p675 :rule reordering :premises (@p674) :args ((or @t389 @t417 @t416 @t414 @t415))) % 34.21/34.47 (step @p676 :rule chain_m_resolution :premises (@p675 @p633 @p632 @p631 @p629 @p627 @p620 @p578 @p576 @p569 @p521 @p519 @p517 @p24 @p23 @p17 @p8 @p3) :args ((or @t168 @t421) (@list false false false false false false false false true false false false true false true false true) (@list @t406 @t394 @t410 @t411 @t413 @t403 @t398 @t400 @t389 @t174 @t385 @t386 @t178 @t175 @t179 @t177 @t165))) % 34.21/34.47 (step @p677 :rule cnf_equiv_neg1 :args (@t168)) % 34.21/34.47 (step @p678 :rule reordering :premises (@p677) :args ((or @t167 @t165 @t168))) % 34.21/34.47 (step @p679 :rule refl :args (@t430)) % 34.21/34.47 (step @p680 :rule bool-double-not-elim :args (@t167)) % 34.21/34.47 (step @p681 :rule nary_cong :premises (@p680 @p679) :args ((or (not @t421) @t430))) % 34.21/34.47 (assume-push @p1118 @t421) % 34.21/34.47 (step @p683 :rule skolemize :premises (@p1118)) % 34.21/34.47 (step-pop @p1119 :rule scope :premises (@p683)) % 34.21/34.47 (step @p684 :rule process_scope :premises (@p1119) :args (@t430)) % 34.21/34.47 (step @p686 :rule implies_elim :premises (@p684)) % 34.21/34.47 (step @p687 :rule eq_resolve :premises (@p686 @p681)) % 34.21/34.47 (assume-push @p1120 @t165) % 34.21/34.47 (step @p689 :rule instantiate :premises (@p1120) :args (@t431)) % 34.21/34.47 (step-pop @p1121 :rule scope :premises (@p689)) % 34.21/34.47 (step @p690 :rule process_scope :premises (@p1121) :args (@t433)) % 34.21/34.47 (step @p692 :rule implies_elim :premises (@p690)) % 34.21/34.47 (step @p693 :rule bool-double-not-elim :args (@t427)) % 34.21/34.47 (step @p694 :rule refl :args (@t429)) % 34.21/34.47 (step @p695 :rule nary_cong :premises (@p694 @p693) :args ((or @t429 (not @t428)))) % 34.21/34.47 (step @p696 :rule cnf_or_neg :args (@t429 0)) % 34.21/34.47 (step @p697 :rule eq_resolve :premises (@p696 @p695)) % 34.21/34.47 (step @p698 :rule reordering :premises (@p697) :args ((or @t427 @t429))) % 34.21/34.47 (step @p699 :rule cnf_or_neg :args (@t429 1)) % 34.21/34.47 (step @p700 :rule cnf_or_pos :args (@t433)) % 34.21/34.47 (step @p701 :rule reordering :premises (@p700) :args ((or @t428 @t432 (not @t433)))) % 34.21/34.47 (step @p702 :rule instantiate :premises (@p516) :args (@t431)) % 34.21/34.47 (step @p703 :rule cnf_or_pos :args (@t435)) % 34.21/34.47 (step @p704 :rule reordering :premises (@p703) :args ((or @t428 @t434 (not @t435)))) % 34.21/34.47 (step @p705 :rule refl :args (@t438)) % 34.21/34.47 (step @p706 :rule refl :args ((_ @t166 @t424 @t440 @t439))) % 34.21/34.47 (step @p707 :rule refl :args (@t423)) % 34.21/34.47 (step @p708 :rule refl :args (@t425)) % 34.21/34.47 (step @p709 :rule refl :args (@t424)) % 34.21/34.47 (step @p710 :rule cong :premises (@p709 @p708 @p707) :args (@t426)) % 34.21/34.47 (step @p711 :rule trans :premises (@p710 @p706)) % 34.21/34.47 (step @p712 :rule refl :args (@t436)) % 34.21/34.47 (step @p713 :rule ho_cong :premises (@p712 @p708)) % 34.21/34.47 (step @p714 :rule ho_cong :premises (@p713 @p707)) % 34.21/34.47 (step @p715 :rule cong :premises (@p714 @p711) :args ((= @t441 @t426))) % 34.21/34.47 (step @p716 :rule symm :premises (@p715)) % 34.21/34.47 (step @p717 :rule refl :args ((_ (_ @t436 @t440) @t439))) % 34.21/34.47 (step @p718 :rule eq_resolve :premises (@p717 @p716)) % 34.21/34.47 (step @p719 :rule cong :premises (@p718 @p705) :args (@t442)) % 34.21/34.47 (step @p720 :rule refl :args (@t443)) % 34.21/34.47 (step @p721 :rule nary_cong :premises (@p720 @p719) :args (@t444)) % 34.21/34.47 (step @p722 :rule eq-symm :args (@t438 @t441)) % 34.21/34.47 (step @p723 :rule eq-symm :args (@t437 @t436)) % 34.21/34.47 (step @p724 :rule nary_cong :premises (@p723 @p722) :args ((and (= @t437 @t436) (= @t438 @t441)))) % 34.21/34.47 (step @p725 :rule trans :premises (@p724 @p721)) % 34.21/34.47 (step @p726 :rule eq-refl :args (@t441)) % 34.21/34.47 (step @p727 :rule refl :args ((_ @t436 @t440 @t439))) % 34.21/34.47 (step @p728 :rule cong :premises (@p708 @p707) :args (@t445)) % 34.21/34.47 (step @p729 :rule trans :premises (@p728 @p727)) % 34.21/34.47 (step @p730 :rule cong :premises (@p729 @p714) :args ((= @t445 @t441))) % 34.21/34.47 (step @p731 :rule symm :premises (@p730)) % 34.21/34.47 (step @p732 :rule eq_resolve :premises (@p717 @p731)) % 34.21/34.47 (step @p733 :rule refl :args (@t441)) % 34.21/34.47 (step @p734 :rule cong :premises (@p733 @p732) :args (@t446)) % 34.21/34.47 (step @p735 :rule trans :premises (@p734 @p726)) % 34.21/34.47 (step @p736 :rule eq-refl :args (@t436)) % 34.21/34.47 (step @p737 :rule nary_cong :premises (@p736 @p735) :args ((and (= @t436 @t436) @t446))) % 34.21/34.47 (step @p738 :rule trans :premises (@p737 @p543)) % 34.21/34.47 (step @p739 :rule refl :args (@t423)) % 34.21/34.47 (step @p740 :rule refl :args (@t425)) % 34.21/34.47 (step @p741 :rule skolem_intro :args (@t437)) % 34.21/34.47 (step @p742 :rule ho_cong :premises (@p741 @p740 @p739)) % 34.21/34.47 (step @p743 :rule cong :premises (@p733 @p742) :args (@t442)) % 34.21/34.47 (step @p744 :rule refl :args (@t436)) % 34.21/34.47 (step @p745 :rule cong :premises (@p744 @p741) :args (@t443)) % 34.21/34.47 (step @p746 :rule nary_cong :premises (@p745 @p743) :args (@t444)) % 34.21/34.47 (step @p747 :rule trans :premises (@p724 @p746 @p738)) % 34.21/34.47 (step @p748 :rule true_elim :premises (@p747)) % 34.21/34.47 (step @p749 :rule eq_resolve :premises (@p748 @p725)) % 34.21/34.47 (step @p750 :rule and_elim :premises (@p749) :args (1)) % 34.21/34.47 (step @p751 :rule equiv_elim2 :premises (@p750)) % 34.21/34.47 (step @p752 :rule refl :args (@t449)) % 34.21/34.47 (step @p753 :rule refl :args ((_ @t162 @t424 @t440 @t439))) % 34.21/34.47 (step @p754 :rule cong :premises (@p709 @p708 @p707) :args (@t432)) % 34.21/34.47 (step @p755 :rule trans :premises (@p754 @p753)) % 34.21/34.47 (step @p756 :rule refl :args (@t447)) % 34.21/34.47 (step @p757 :rule ho_cong :premises (@p756 @p708)) % 34.21/34.47 (step @p758 :rule ho_cong :premises (@p757 @p707)) % 34.21/34.47 (step @p759 :rule cong :premises (@p758 @p755) :args ((= @t450 @t432))) % 34.21/34.47 (step @p760 :rule symm :premises (@p759)) % 34.21/34.47 (step @p761 :rule refl :args ((_ (_ @t447 @t440) @t439))) % 34.21/34.47 (step @p762 :rule eq_resolve :premises (@p761 @p760)) % 34.21/34.47 (step @p763 :rule cong :premises (@p762 @p752) :args (@t451)) % 34.21/34.47 (step @p764 :rule refl :args (@t452)) % 34.21/34.47 (step @p765 :rule nary_cong :premises (@p764 @p763) :args (@t453)) % 34.21/34.47 (step @p766 :rule eq-symm :args (@t449 @t450)) % 34.21/34.47 (step @p767 :rule eq-symm :args (@t448 @t447)) % 34.21/34.47 (step @p768 :rule nary_cong :premises (@p767 @p766) :args ((and (= @t448 @t447) (= @t449 @t450)))) % 34.21/34.47 (step @p769 :rule trans :premises (@p768 @p765)) % 34.21/34.47 (step @p770 :rule eq-refl :args (@t450)) % 34.21/34.47 (step @p771 :rule refl :args ((_ @t447 @t440 @t439))) % 34.21/34.47 (step @p772 :rule cong :premises (@p708 @p707) :args (@t454)) % 34.21/34.47 (step @p773 :rule trans :premises (@p772 @p771)) % 34.21/34.47 (step @p774 :rule cong :premises (@p773 @p758) :args ((= @t454 @t450))) % 34.21/34.47 (step @p775 :rule symm :premises (@p774)) % 34.21/34.47 (step @p776 :rule eq_resolve :premises (@p761 @p775)) % 34.21/34.47 (step @p777 :rule refl :args (@t450)) % 34.21/34.47 (step @p778 :rule cong :premises (@p777 @p776) :args (@t455)) % 34.21/34.47 (step @p779 :rule trans :premises (@p778 @p770)) % 34.21/34.47 (step @p780 :rule eq-refl :args (@t447)) % 34.21/34.47 (step @p781 :rule nary_cong :premises (@p780 @p779) :args ((and (= @t447 @t447) @t455))) % 34.21/34.47 (step @p782 :rule trans :premises (@p781 @p543)) % 34.21/34.47 (step @p783 :rule skolem_intro :args (@t448)) % 34.21/34.47 (step @p784 :rule ho_cong :premises (@p783 @p740 @p739)) % 34.21/34.48 (step @p785 :rule cong :premises (@p777 @p784) :args (@t451)) % 34.21/34.48 (step @p786 :rule refl :args (@t447)) % 34.21/34.48 (step @p787 :rule cong :premises (@p786 @p783) :args (@t452)) % 34.21/34.48 (step @p788 :rule nary_cong :premises (@p787 @p785) :args (@t453)) % 34.21/34.48 (step @p789 :rule trans :premises (@p768 @p788 @p782)) % 34.21/34.48 (step @p790 :rule true_elim :premises (@p789)) % 34.21/34.48 (step @p791 :rule eq_resolve :premises (@p790 @p769)) % 34.21/34.48 (step @p792 :rule and_elim :premises (@p791) :args (1)) % 34.21/34.48 (step @p793 :rule equiv_elim1 :premises (@p792)) % 34.21/34.48 (step @p794 :rule instantiate :premises (@p575) :args ((@list @t424 @t422 @t424))) % 34.21/34.48 (step @p795 :rule cnf_or_pos :args (@t458)) % 34.21/34.48 (step @p796 :rule reordering :premises (@p795) :args ((or @t428 @t456 @t457 (not @t458)))) % 34.21/34.48 (step @p797 :rule eq-symm :args (@t447 @t436)) % 34.21/34.48 (step @p798 :rule refl :args (@t459)) % 34.21/34.48 (step @p799 :rule refl :args (@t460)) % 34.21/34.48 (step @p800 :rule nary_cong :premises (@p799 @p798 @p797) :args (@t461)) % 34.21/34.48 (step @p801 :rule refl :args (@t462)) % 34.21/34.48 (step @p802 :rule nary_cong :premises (@p801 @p800) :args (@t463)) % 34.21/34.48 (step @p803 :rule refl :args (@t368)) % 34.21/34.48 (step @p804 :rule cong :premises (@p803 @p802) :args ((=> @t368 @t463))) % 34.21/34.48 (assume-push @p1122 @t368) % 34.21/34.48 (step @p806 :rule instantiate :premises (@p626) :args ((@list @t424 @t423 @t425 @t425 @t425 @t423))) % 34.21/34.48 (step-pop @p1123 :rule scope :premises (@p806)) % 34.21/34.48 (step @p807 :rule process_scope :premises (@p1123) :args (@t463)) % 34.21/34.48 (step @p809 :rule eq_resolve :premises (@p807 @p804)) % 34.21/34.48 (step @p810 :rule implies_elim :premises (@p809)) % 34.21/34.48 (step @p811 :rule chain_m_resolution :premises (@p810 @p626) :args (@t466 @t467 (@list @t368))) % 34.21/34.48 (step @p812 :rule cnf_or_pos :args (@t466)) % 34.21/34.48 (step @p813 :rule reordering :premises (@p812) :args ((or @t462 @t465 (not @t466)))) % 34.21/34.48 (step @p814 :rule cnf_and_pos :args (@t465 2)) % 34.21/34.48 (step @p815 :rule reordering :premises (@p814) :args ((or @t464 (not @t465)))) % 34.21/34.48 (step @p816 :rule and_elim :premises (@p749) :args (0)) % 34.21/34.48 (step @p817 :rule and_elim :premises (@p791) :args (0)) % 34.21/34.48 (step @p818 :rule refl :args (@t468)) % 34.21/34.48 (step @p819 :rule refl :args (@t469)) % 34.21/34.48 (step @p820 :rule refl :args (@t470)) % 34.21/34.48 (step @p821 :rule bool-double-not-elim :args (@t438)) % 34.21/34.48 (step @p822 :rule refl :args (@t471)) % 34.21/34.48 (step @p823 :rule nary_cong :premises (@p822 @p821 @p820 @p819 @p818) :args ((or @t471 (not @t472) @t470 @t469 @t468))) % 34.21/34.48 (assume-push @p1124 @t449) % 34.21/34.48 (assume-push @p1125 @t452) % 34.21/34.48 (assume-push @p1126 @t464) % 34.21/34.48 (assume-push @p1127 @t443) % 34.21/34.48 (assume-push @p1128 @t472) % 34.21/34.48 (step @p645 :rule evaluate :args (@t419)) % 34.21/34.48 (step @p829 :rule true_intro :premises (@p1124)) % 34.21/34.48 (step @p830 :rule trans :premises (@p741 @p1126 @p817)) % 34.21/34.48 (step @p831 :rule ho_cong :premises (@p830 @p740 @p739)) % 34.21/34.48 (step @p832 :rule false_intro :premises (@p1128)) % 34.21/34.48 (step @p833 :rule symm :premises (@p832)) % 34.21/34.48 (step @p834 :rule trans :premises (@p833 @p831 @p829)) % 34.21/34.48 (step @p835 false :rule eq_resolve :premises (@p834 @p645)) % 34.21/34.48 (step-pop @p1129 :rule scope :premises (@p835)) % 34.21/34.48 (step-pop @p1130 :rule scope :premises (@p1129)) % 34.21/34.48 (step-pop @p1131 :rule scope :premises (@p1130)) % 34.21/34.48 (step-pop @p1132 :rule scope :premises (@p1131)) % 34.21/34.48 (step-pop @p1133 :rule scope :premises (@p1132)) % 34.21/34.48 (step @p836 :rule process_scope :premises (@p1133) :args (false)) % 34.21/34.48 (assume-push @p1134 @t443) % 34.21/34.48 (assume-push @p1135 @t472) % 34.21/34.48 (assume-push @p1136 @t449) % 34.21/34.48 (assume-push @p1137 @t452) % 34.21/34.48 (assume-push @p1138 @t464) % 34.21/34.48 (step @p847 :rule and_intro :premises (@p1136 @p817 @p1138 @p816 @p1135)) % 34.21/34.48 (step-pop @p1139 :rule scope :premises (@p847)) % 34.21/34.48 (step-pop @p1140 :rule scope :premises (@p1139)) % 34.21/34.48 (step-pop @p1141 :rule scope :premises (@p1140)) % 34.21/34.48 (step-pop @p1142 :rule scope :premises (@p1141)) % 34.21/34.48 (step-pop @p1143 :rule scope :premises (@p1142)) % 34.21/34.48 (step @p848 :rule process_scope :premises (@p1143) :args (@t473)) % 34.21/34.48 (step @p854 :rule implies_elim :premises (@p848)) % 34.21/34.48 (step @p855 :rule resolution :premises (@p854 @p836) :args (true @t473)) % 34.21/34.48 (step @p856 :rule not_and :premises (@p855)) % 34.21/34.48 (step @p857 :rule eq_resolve :premises (@p856 @p823)) % 34.21/34.48 (step @p858 :rule reordering :premises (@p857) :args ((or @t438 @t471 @t469 @t470 @t468))) % 34.21/34.48 (step @p859 :rule chain_m_resolution :premises (@p858 @p817 @p816 @p815 @p813 @p811 @p796 @p794 @p793 @p751 @p704 @p702 @p701 @p699 @p698 @p692 @p687 @p678 @p676) :args (@t168 (@list false false false false false false false false true false false false true false false true false true) (@list @t452 @t443 @t464 @t465 @t466 @t456 @t458 @t449 @t438 @t434 @t435 @t432 @t426 @t427 @t433 @t429 @t165 @t167))) % 34.21/34.48 (step @p860 :rule eq-symm :args (@t165 @t167)) % 34.21/34.48 (step @p861 :rule eq-refl :args (@t167)) % 34.21/34.48 (step @p862 :rule refl :args (@t167)) % 34.21/34.48 (step @p863 :rule beta-reduce :args (@t474)) % 34.21/34.48 (step @p864 :rule cong :premises (@p863 @p862) :args (@t474)) % 34.21/34.48 (step @p865 :rule trans :premises (@p864 @p861)) % 34.21/34.48 (step @p866 :rule refl :args (@t107)) % 34.21/34.48 (step @p867 :rule refl :args (@t109)) % 34.21/34.48 (step @p868 :rule ho_cong :premises (@p484 @p867 @p866)) % 34.21/34.48 (step @p869 :rule cong :premises (@p868 @p862) :args ((= @t475 @t167))) % 34.21/34.48 (step @p870 :rule trans :premises (@p869 @p865)) % 34.21/34.48 (step @p871 :rule true_elim :premises (@p870)) % 34.21/34.48 (step @p872 :rule eq-refl :args (@t165)) % 34.21/34.48 (step @p873 :rule refl :args (@t165)) % 34.21/34.48 (step @p874 :rule beta-reduce :args (@t476)) % 34.21/34.48 (step @p875 :rule cong :premises (@p874 @p873) :args (@t476)) % 34.21/34.48 (step @p876 :rule trans :premises (@p875 @p872)) % 34.21/34.48 (step @p877 :rule ho_cong :premises (@p478 @p867 @p866)) % 34.21/34.48 (step @p878 :rule cong :premises (@p877 @p873) :args ((= @t477 @t165))) % 34.21/34.48 (step @p879 :rule trans :premises (@p878 @p876)) % 34.21/34.48 (step @p880 :rule true_elim :premises (@p879)) % 34.21/34.48 (step @p881 :rule cong :premises (@p880 @p871) :args (@t478)) % 34.21/34.48 (step @p882 :rule trans :premises (@p881 @p860)) % 34.21/34.48 (step @p883 :rule cong :premises (@p882) :args (@t479)) % 34.21/34.48 (step @p884 :rule refl :args (@t337)) % 34.21/34.48 (step @p885 :rule nary_cong :premises (@p884 @p883) :args (@t480)) % 34.21/34.48 ; WARNING: add trust step for TRUST % 34.21/34.48 ; trust TRUST THEORY_LEMMA % 34.21/34.48 (step @p886 :rule trust :premises () :args (@t480)) % 34.21/34.48 (step @p887 :rule eq_resolve :premises (@p886 @p885)) % 34.21/34.48 (step @p888 :rule chain_m_resolution :premises (@p887 @p859) :args (@t337 @t467 (@list @t168))) % 34.21/34.48 (step @p889 :rule bool-double-not-elim :args (@t351)) % 34.21/34.48 (step @p890 :rule nary_cong :premises (@p491 @p889) :args ((or @t353 (not @t352)))) % 34.21/34.48 (step @p891 :rule cnf_or_neg :args (@t353 0)) % 34.21/34.48 (step @p892 :rule eq_resolve :premises (@p891 @p890)) % 34.21/34.48 (step @p893 :rule reordering :premises (@p892) :args ((or @t351 @t353))) % 34.21/34.48 (step @p894 :rule bool-double-not-elim :args (@t349)) % 34.21/34.48 (step @p895 :rule nary_cong :premises (@p491 @p894) :args ((or @t353 (not @t350)))) % 34.21/34.48 (step @p896 :rule cnf_or_neg :args (@t353 1)) % 34.21/34.48 (step @p897 :rule eq_resolve :premises (@p896 @p895)) % 34.21/34.48 (step @p898 :rule reordering :premises (@p897) :args ((or @t349 @t353))) % 34.21/34.48 (step @p899 :rule bool-double-not-elim :args (@t345)) % 34.21/34.48 (step @p900 :rule nary_cong :premises (@p491 @p899) :args ((or @t353 (not @t346)))) % 34.21/34.48 (step @p901 :rule cnf_or_neg :args (@t353 2)) % 34.21/34.48 (step @p902 :rule eq_resolve :premises (@p901 @p900)) % 34.21/34.48 (step @p903 :rule reordering :premises (@p902) :args ((or @t345 @t353))) % 34.21/34.48 (step @p904 :rule cnf_or_neg :args (@t353 3)) % 34.21/34.48 (assume-push @p1144 @t351) % 34.21/34.48 (step @p906 :rule instantiate :premises (@p1144) :args ((@list @t341 @t341))) % 34.21/34.48 (step-pop @p1145 :rule scope :premises (@p906)) % 34.21/34.48 (step @p907 :rule process_scope :premises (@p1145) :args (@t485)) % 34.21/34.48 (step @p909 :rule implies_elim :premises (@p907)) % 34.21/34.48 (assume-push @p1146 @t349) % 34.21/34.48 (step @p911 :rule instantiate :premises (@p1146) :args (@t486)) % 34.21/34.48 (step-pop @p1147 :rule scope :premises (@p911)) % 34.21/34.48 (step @p912 :rule process_scope :premises (@p1147) :args (@t488)) % 34.21/34.48 (step @p914 :rule implies_elim :premises (@p912)) % 34.21/34.48 (step @p915 :rule instantiate :premises (@p516) :args (@t486)) % 34.21/34.48 (step @p916 :rule cnf_or_pos :args (@t490)) % 34.21/34.48 (step @p917 :rule reordering :premises (@p916) :args ((or @t346 @t489 (not @t490)))) % 34.21/34.48 (step @p918 :rule cnf_or_pos :args (@t488)) % 34.21/34.48 (step @p919 :rule reordering :premises (@p918) :args ((or @t346 @t487 (not @t488)))) % 34.21/34.48 (step @p920 :rule instantiate :premises (@p575) :args ((@list @t341 @t338 @t341))) % 34.21/34.48 (step @p921 :rule cnf_or_pos :args (@t492)) % 34.21/34.48 (step @p922 :rule reordering :premises (@p921) :args ((or @t346 @t491 @t483 (not @t492)))) % 34.21/34.48 (step @p923 :rule cnf_or_pos :args (@t485)) % 34.21/34.48 (step @p924 :rule reordering :premises (@p923) :args ((or @t484 @t482 (not @t485)))) % 34.21/34.48 (step @p925 :rule bool-double-not-elim :args (@t370)) % 34.21/34.48 (step @p926 :rule nary_cong :premises (@p511 @p925) :args ((or @t376 (not @t371)))) % 34.21/34.48 (step @p927 :rule cnf_or_neg :args (@t376 2)) % 34.21/34.48 (step @p928 :rule eq_resolve :premises (@p927 @p926)) % 34.21/34.48 (step @p929 :rule reordering :premises (@p928) :args ((or @t370 @t376))) % 34.21/34.48 (step @p930 :rule chain_m_resolution :premises (@p929 @p509) :args (@t370 @t383 @t384)) % 34.21/34.48 (step @p931 :rule aci_norm :args ((= (and @t497 @t495 true) @t498))) % 34.21/34.48 (step @p932 :rule eq-refl :args (@t499)) % 34.21/34.48 (step @p933 :rule refl :args (@t495)) % 34.21/34.48 (step @p934 :rule refl :args (@t497)) % 34.21/34.48 (step @p935 :rule nary_cong :premises (@p934 @p933 @p932) :args (@t500)) % 34.21/34.48 (step @p936 :rule trans :premises (@p935 @p931)) % 34.21/34.48 (step @p937 :rule refl :args (@t484)) % 34.21/34.48 (step @p938 :rule nary_cong :premises (@p937 @p936) :args (@t501)) % 34.21/34.48 (step @p939 :rule refl :args (@t370)) % 34.21/34.48 (step @p940 :rule cong :premises (@p939 @p938) :args ((=> @t370 @t501))) % 34.21/34.48 (assume-push @p1148 @t370) % 34.21/34.48 (step @p942 :rule instantiate :premises (@p930) :args ((@list @t341 @t341 @t356 @t356 @t343 @t481 @t340))) % 34.21/34.48 (step-pop @p1149 :rule scope :premises (@p942)) % 34.21/34.48 (step @p943 :rule process_scope :premises (@p1149) :args (@t501)) % 34.21/34.48 (step @p945 :rule eq_resolve :premises (@p943 @p940)) % 34.21/34.48 (step @p946 :rule implies_elim :premises (@p945)) % 34.21/34.48 (step @p947 :rule chain_m_resolution :premises (@p946 @p930) :args (@t502 @t467 (@list @t370))) % 34.21/34.48 (step @p948 :rule cnf_or_pos :args (@t502)) % 34.21/34.48 (step @p949 :rule reordering :premises (@p948) :args ((or @t484 @t498 (not @t502)))) % 34.21/34.48 (step @p950 :rule cnf_or_pos :args (@t495)) % 34.21/34.48 (step @p951 :rule reordering :premises (@p950) :args ((or @t344 @t493 @t494 (not @t495)))) % 34.21/34.48 (step @p952 :rule cnf_and_pos :args (@t498 1)) % 34.21/34.48 (step @p953 :rule reordering :premises (@p952) :args ((or @t495 (not @t498)))) % 34.21/34.48 (step @p954 :rule chain_m_resolution :premises (@p953 @p951 @p949 @p947 @p924 @p922 @p920 @p919 @p917 @p915 @p914 @p909 @p904 @p903 @p898 @p893) :args (@t353 (@list true false false false false false false false false false false true false false false) (@list @t495 @t498 @t502 @t482 @t483 @t492 @t487 @t489 @t490 @t488 @t485 @t344 @t345 @t349 @t351))) % 34.21/34.48 (step @p955 :rule cnf_or_neg :args (@t376 4)) % 34.21/34.48 (step @p956 :rule chain_m_resolution :premises (@p955 @p509) :args ((not @t366) @t383 @t384)) % 34.21/34.48 (step @p957 :rule cnf_and_neg :args (@t366)) % 34.21/34.48 (step @p958 :rule chain_m_resolution :premises (@p957 @p956 @p954 @p888) :args ((not @t365) @t503 (@list @t366 @t353 @t337))) % 34.21/34.48 (step @p959 :rule bool-double-not-elim :args (@t363)) % 34.21/34.48 (step @p960 :rule nary_cong :premises (@p492 @p959) :args ((or @t365 (not @t364)))) % 34.21/34.48 (step @p961 :rule cnf_or_neg :args (@t365 0)) % 34.21/34.48 (step @p962 :rule eq_resolve :premises (@p961 @p960)) % 34.21/34.48 (step @p963 :rule reordering :premises (@p962) :args ((or @t363 @t365))) % 34.21/34.48 (step @p964 :rule chain_m_resolution :premises (@p963 @p958) :args (@t363 @t383 @t504)) % 34.21/34.48 (assume-push @p1150 @t363) % 34.21/34.48 (step @p966 :rule instantiate :premises (@p1150) :args ((@list @t354 @t357))) % 34.21/34.48 (step-pop @p1151 :rule scope :premises (@p966)) % 34.21/34.48 (step @p967 :rule process_scope :premises (@p1151) :args (@t508)) % 34.21/34.48 (step @p969 :rule implies_elim :premises (@p967)) % 34.21/34.48 (step @p970 :rule chain_m_resolution :premises (@p969 @p964) :args (@t508 @t467 (@list @t363))) % 34.21/34.48 (step @p971 :rule instantiate :premises (@p516) :args ((@list @t357 @t354))) % 34.21/34.48 (step @p972 :rule bool-double-not-elim :args (@t361)) % 34.21/34.48 (step @p973 :rule nary_cong :premises (@p492 @p972) :args ((or @t365 (not @t362)))) % 34.21/34.48 (step @p974 :rule cnf_or_neg :args (@t365 1)) % 34.21/34.48 (step @p975 :rule eq_resolve :premises (@p974 @p973)) % 34.21/34.48 (step @p976 :rule reordering :premises (@p975) :args ((or @t361 @t365))) % 34.21/34.48 (step @p977 :rule chain_m_resolution :premises (@p976 @p958) :args (@t361 @t383 @t504)) % 34.21/34.48 (step @p978 :rule cnf_or_pos :args (@t509)) % 34.21/34.48 (step @p979 :rule reordering :premises (@p978) :args ((or @t362 @t506 (not @t509)))) % 34.21/34.48 (step @p980 :rule chain_m_resolution :premises (@p979 @p977 @p971) :args (@t506 @t510 (@list @t361 @t509))) % 34.21/34.48 (step @p981 :rule cnf_or_pos :args (@t508)) % 34.21/34.48 (step @p982 :rule reordering :premises (@p981) :args ((or @t507 @t505 (not @t508)))) % 34.21/34.48 (step @p983 :rule chain_m_resolution :premises (@p982 @p980 @p970) :args (@t505 @t510 (@list @t506 @t508))) % 34.21/34.48 (step @p984 :rule instantiate :premises (@p930) :args ((@list @t357 @t354 @t356 @t356 @t356 @t356 @t356))) % 34.21/34.48 (step @p985 :rule cnf_or_pos :args (@t516)) % 34.21/34.48 (step @p986 :rule reordering :premises (@p985) :args ((or @t362 @t515 (not @t516)))) % 34.21/34.48 (step @p987 :rule chain_m_resolution :premises (@p986 @p977 @p984) :args (@t515 @t510 (@list @t361 @t516))) % 34.21/34.48 (step @p988 :rule cnf_and_pos :args (@t515 2)) % 34.21/34.48 (step @p989 :rule reordering :premises (@p988) :args ((or @t512 (not @t515)))) % 34.21/34.48 (step @p990 :rule chain_m_resolution :premises (@p989 @p987) :args (@t512 @t467 (@list @t515))) % 34.21/34.48 (step @p991 :rule refl :args (@t519)) % 34.21/34.48 (step @p992 :rule refl :args ((_ @t162 @t354 @t521 @t520))) % 34.21/34.48 (step @p993 :rule refl :args (@t356)) % 34.21/34.48 (step @p994 :rule refl :args (@t359)) % 34.21/34.48 (step @p995 :rule refl :args (@t354)) % 34.21/34.48 (step @p996 :rule cong :premises (@p995 @p994 @p993) :args (@t522)) % 34.21/34.48 (step @p997 :rule trans :premises (@p996 @p992)) % 34.21/34.48 (step @p998 :rule refl :args (@t511)) % 34.21/34.48 (step @p999 :rule ho_cong :premises (@p998 @p994)) % 34.21/34.48 (step @p1000 :rule ho_cong :premises (@p999 @p993)) % 34.21/34.48 (step @p1001 :rule cong :premises (@p1000 @p997) :args ((= @t523 @t522))) % 34.21/34.48 (step @p1002 :rule symm :premises (@p1001)) % 34.21/34.48 (step @p1003 :rule refl :args ((_ @t524 @t520))) % 34.21/34.48 (step @p1004 :rule eq_resolve :premises (@p1003 @p1002)) % 34.21/34.48 (step @p1005 :rule cong :premises (@p1004 @p991) :args (@t525)) % 34.21/34.48 (step @p1006 :rule refl :args (@t526)) % 34.21/34.48 (step @p1007 :rule nary_cong :premises (@p1006 @p1005) :args (@t527)) % 34.21/34.48 (step @p1008 :rule eq-symm :args (@t519 @t523)) % 34.21/34.48 (step @p1009 :rule eq-symm :args (@t518 @t517)) % 34.21/34.48 (step @p1010 :rule nary_cong :premises (@p1009 @p1008) :args ((and (= @t518 @t517) (= @t519 @t523)))) % 34.21/34.48 (step @p1011 :rule trans :premises (@p1010 @p1007)) % 34.21/34.48 (step @p1012 :rule eq-refl :args (@t523)) % 34.21/34.48 (step @p1013 :rule refl :args ((_ @t524 @t520))) % 34.21/34.48 (step @p1014 :rule ho_cong :premises (@p999 @p993)) % 34.21/34.48 (step @p1015 :rule trans :premises (@p1014 @p1013)) % 34.21/34.48 (step @p1016 :rule cong :premises (@p1015 @p1000) :args ((= @t528 @t523))) % 34.21/34.48 (step @p1017 :rule symm :premises (@p1016)) % 34.21/34.48 (step @p1018 :rule eq_resolve :premises (@p1003 @p1017)) % 34.21/34.48 (step @p1019 :rule refl :args (@t523)) % 34.21/34.48 (step @p1020 :rule cong :premises (@p1019 @p1018) :args (@t529)) % 34.21/34.48 (step @p1021 :rule trans :premises (@p1020 @p1012)) % 34.21/34.48 (step @p1022 :rule eq-refl :args (@t517)) % 34.21/34.48 (step @p1023 :rule nary_cong :premises (@p1022 @p1021) :args ((and (= @t517 @t517) @t529))) % 34.21/34.48 (step @p1024 :rule trans :premises (@p1023 @p543)) % 34.21/34.48 (step @p1025 :rule refl :args (@t356)) % 34.21/34.48 (step @p1026 :rule skolem_intro :args (@t518)) % 34.21/34.48 (step @p1027 :rule ho_cong :premises (@p1026 @p1025)) % 34.21/34.48 (step @p1028 :rule cong :premises (@p1019 @p1027) :args (@t525)) % 34.21/34.48 (step @p1029 :rule refl :args (@t517)) % 34.21/34.48 (step @p1030 :rule cong :premises (@p1029 @p1026) :args (@t526)) % 34.21/34.48 (step @p1031 :rule nary_cong :premises (@p1030 @p1028) :args (@t527)) % 34.21/34.48 (step @p1032 :rule trans :premises (@p1010 @p1031 @p1024)) % 34.21/34.48 (step @p1033 :rule true_elim :premises (@p1032)) % 34.21/34.48 (step @p1034 :rule eq_resolve :premises (@p1033 @p1011)) % 34.21/34.48 (step @p1035 :rule and_elim :premises (@p1034) :args (0)) % 34.21/34.48 (step @p1036 :rule cnf_or_neg :args (@t365 2)) % 34.21/34.48 (step @p1037 :rule chain_m_resolution :premises (@p1036 @p958) :args (@t530 @t383 @t504)) % 34.21/34.48 (step @p1038 :rule refl :args (@t531)) % 34.21/34.48 (step @p1039 :rule refl :args (@t532)) % 34.21/34.48 (step @p1040 :rule refl :args (@t533)) % 34.21/34.48 (step @p1041 :rule bool-double-not-elim :args (@t360)) % 34.21/34.48 (step @p1042 :rule nary_cong :premises (@p1041 @p1040 @p1039 @p1038) :args ((or (not @t530) @t533 @t532 @t531))) % 34.21/34.48 (assume-push @p1152 @t512) % 34.21/34.48 (assume-push @p1153 @t526) % 34.21/34.48 (assume-push @p1154 @t522) % 34.21/34.48 (assume-push @p1155 @t530) % 34.21/34.48 (step @p645 :rule evaluate :args (@t419)) % 34.21/34.48 (step @p1047 :rule true_intro :premises (@p1154)) % 34.21/34.48 (step @p1048 :rule ho_cong :premises (@p1026 @p1025)) % 34.21/34.48 (step @p1049 :rule refl :args (@t359)) % 34.21/34.48 (step @p1050 :rule ho_cong :premises (@p1152 @p1049)) % 34.21/34.48 (step @p1051 :rule trans :premises (@p1050 @p1035)) % 34.21/34.48 (step @p1052 :rule ho_cong :premises (@p1051 @p1025)) % 34.21/34.48 (step @p1053 :rule refl :args (@t360)) % 34.21/34.48 (step @p1054 :rule false_intro :premises (@p1155)) % 34.21/34.48 (step @p1055 :rule symm :premises (@p1054)) % 34.21/34.48 (step @p1056 :rule trans :premises (@p1055 @p1053 @p1052 @p1048 @p1004 @p1047)) % 34.21/34.48 (step @p1057 false :rule eq_resolve :premises (@p1056 @p645)) % 34.21/34.48 (step-pop @p1156 :rule scope :premises (@p1057)) % 34.21/34.48 (step-pop @p1157 :rule scope :premises (@p1156)) % 34.21/34.48 (step-pop @p1158 :rule scope :premises (@p1157)) % 34.21/34.48 (step-pop @p1159 :rule scope :premises (@p1158)) % 34.21/34.48 (step @p1058 :rule process_scope :premises (@p1159) :args (false)) % 34.21/34.48 (assume-push @p1160 @t530) % 34.21/34.48 (assume-push @p1161 @t522) % 34.21/34.48 (assume-push @p1162 @t526) % 34.21/34.48 (assume-push @p1163 @t512) % 34.21/34.48 (step @p1067 :rule and_intro :premises (@p1163 @p1035 @p1161 @p1160)) % 34.21/34.48 (step-pop @p1164 :rule scope :premises (@p1067)) % 34.21/34.48 (step-pop @p1165 :rule scope :premises (@p1164)) % 34.21/34.48 (step-pop @p1166 :rule scope :premises (@p1165)) % 34.21/34.48 (step-pop @p1167 :rule scope :premises (@p1166)) % 34.21/34.48 (step @p1068 :rule process_scope :premises (@p1167) :args (@t534)) % 34.21/34.48 (step @p1073 :rule implies_elim :premises (@p1068)) % 34.21/34.48 (step @p1074 :rule resolution :premises (@p1073 @p1058) :args (true @t534)) % 34.21/34.48 (step @p1075 :rule not_and :premises (@p1074)) % 34.21/34.48 (step @p1076 :rule eq_resolve :premises (@p1075 @p1042)) % 34.21/34.48 (step @p1077 :rule chain_m_resolution :premises (@p1076 @p1037 @p1035 @p990) :args (@t533 @t503 (@list @t360 @t526 @t512))) % 34.21/34.48 (step @p1078 :rule instantiate :premises (@p626) :args ((@list @t354 @t356 @t359 @t356 @t359 @t359))) % 34.21/34.48 (step @p1079 :rule instantiate :premises (@p575) :args ((@list @t354 @t357 @t354))) % 34.21/34.48 (step @p1080 :rule cnf_or_pos :args (@t536)) % 34.21/34.48 (step @p1081 :rule reordering :premises (@p1080) :args ((or @t362 @t507 @t535 (not @t536)))) % 34.21/34.48 (step @p1082 :rule chain_m_resolution :premises (@p1081 @p977 @p980 @p1079) :args (@t535 (@list false false false) (@list @t361 @t506 @t536))) % 34.21/34.48 (step @p1083 :rule cnf_or_pos :args (@t541)) % 34.21/34.48 (step @p1084 :rule reordering :premises (@p1083) :args ((or @t540 @t539 (not @t541)))) % 34.21/34.48 (step @p1085 :rule chain_m_resolution :premises (@p1084 @p1082 @p1078) :args (@t539 @t510 (@list @t535 @t541))) % 34.21/34.48 (step @p1086 :rule cnf_and_pos :args (@t539 0)) % 34.21/34.48 (step @p1087 :rule reordering :premises (@p1086) :args ((or @t538 (not @t539)))) % 34.21/34.48 (step @p1088 :rule chain_m_resolution :premises (@p1087 @p1085) :args (@t538 @t467 (@list @t539))) % 34.21/34.48 (step @p1089 :rule cnf_or_pos :args (@t538)) % 34.21/34.48 (step @p1090 :rule reordering :premises (@p1089) :args ((or @t537 @t522 (not @t538)))) % 34.21/34.48 (step @p1091 false :rule chain_m_resolution :premises (@p1090 @p1088 @p1077 @p983) :args (false (@list false true false) (@list @t538 @t522 @t505))) % 34.21/34.48 ) % 34.21/34.48 % SZS output end Proof % 34.21/34.48 % cvc5 exiting %------------------------------------------------------------------------------