%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV261^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : 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 08:55:41 AM UTC 2026 % Result : Theorem 0.39s 0.61s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV261^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:23:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.49 %----Proving TH0 % 0.39/0.61 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.61 % SZS status Theorem % 0.39/0.61 % SZS output start Proof % 0.39/0.61 ( % 0.39/0.61 (declare-sort tptp.a 0) % 0.39/0.61 (define @t1 () (not false)) % 0.39/0.61 (define @t2 () (@var "Xy" tptp.a)) % 0.39/0.61 (define @t3 () (@list @t2)) % 0.39/0.61 (define @t4 () (lambda @t3 @t1)) % 0.39/0.61 (define @t5 () (@var "S" (-> tptp.a Bool))) % 0.39/0.61 (define @t6 () (= @t5 @t4)) % 0.39/0.61 (define @t7 () (lambda @t3 false)) % 0.39/0.61 (define @t8 () (= @t5 @t7)) % 0.39/0.61 (define @t9 () (or @t8 @t6)) % 0.39/0.61 (define @t10 () (@var "Xx" tptp.a)) % 0.39/0.61 (define @t11 () (@var "Z" (-> tptp.a Bool))) % 0.39/0.61 (define @t12 () (_ @t11 @t10)) % 0.39/0.61 (define @t13 () (@var "Y" (-> tptp.a Bool))) % 0.39/0.61 (define @t14 () (_ @t13 @t10)) % 0.39/0.61 (define @t15 () (and @t14 @t12)) % 0.39/0.61 (define @t16 () (@list @t10)) % 0.39/0.61 (define @t17 () (lambda @t16 @t15)) % 0.39/0.61 (define @t18 () (= @t5 @t17)) % 0.39/0.61 (define @t19 () (= @t11 @t4)) % 0.39/0.61 (define @t20 () (= @t11 @t7)) % 0.39/0.61 (define @t21 () (or @t20 @t19)) % 0.39/0.61 (define @t22 () (= @t13 @t4)) % 0.39/0.61 (define @t23 () (= @t13 @t7)) % 0.39/0.61 (define @t24 () (or @t23 @t22)) % 0.39/0.61 (define @t25 () (and @t24 @t21 @t18)) % 0.39/0.61 (define @t26 () (=> @t25 @t9)) % 0.39/0.61 (define @t27 () (@list @t13 @t11 @t5)) % 0.39/0.61 (define @t28 () (forall @t27 @t26)) % 0.39/0.61 (define @t29 () (@var "R" (-> tptp.a Bool))) % 0.39/0.61 (define @t30 () (= @t29 @t4)) % 0.39/0.61 (define @t31 () (= @t29 @t7)) % 0.39/0.61 (define @t32 () (or @t31 @t30)) % 0.39/0.61 (define @t33 () (_ @t5 @t10)) % 0.39/0.61 (define @t34 () (@var "K" (-> (-> tptp.a Bool) Bool))) % 0.39/0.61 (define @t35 () (_ @t34 @t5)) % 0.39/0.61 (define @t36 () (and @t35 @t33)) % 0.39/0.61 (define @t37 () (@list @t5)) % 0.39/0.61 (define @t38 () (exists @t37 @t36)) % 0.39/0.61 (define @t39 () (lambda @t16 @t38)) % 0.39/0.61 (define @t40 () (= @t29 @t39)) % 0.39/0.61 (define @t41 () (@var "Xx" (-> tptp.a Bool))) % 0.39/0.61 (define @t42 () (= @t41 @t4)) % 0.39/0.61 (define @t43 () (= @t41 @t7)) % 0.39/0.61 (define @t44 () (or @t43 @t42)) % 0.39/0.61 (define @t45 () (_ @t34 @t41)) % 0.39/0.61 (define @t46 () (=> @t45 @t44)) % 0.39/0.61 (define @t47 () (@list @t41)) % 0.39/0.61 (define @t48 () (forall @t47 @t46)) % 0.39/0.61 (define @t49 () (and @t48 @t40)) % 0.39/0.61 (define @t50 () (=> @t49 @t32)) % 0.39/0.61 (define @t51 () (@list @t34 @t29)) % 0.39/0.61 (define @t52 () (forall @t51 @t50)) % 0.39/0.61 (define @t53 () (lambda @t16 @t1)) % 0.39/0.61 (define @t54 () (= @t29 @t53)) % 0.39/0.61 (define @t55 () (=> @t54 @t32)) % 0.39/0.61 (define @t56 () (@list @t29)) % 0.39/0.61 (define @t57 () (forall @t56 @t55)) % 0.39/0.61 (define @t58 () (lambda @t16 false)) % 0.39/0.61 (define @t59 () (= @t29 @t58)) % 0.39/0.61 (define @t60 () (=> @t59 @t32)) % 0.39/0.61 (define @t61 () (forall @t56 @t60)) % 0.39/0.61 (define @t62 () (and @t61 @t57 @t52 @t28)) % 0.39/0.61 (define @t63 () (not @t62)) % 0.39/0.61 (define @t64 () (@var "BOUND_VARIABLE_7661" tptp.a)) % 0.39/0.61 (define @t65 () (lambda (@list @t64) true)) % 0.39/0.61 (define @t66 () (= @t41 @t65)) % 0.39/0.61 (define @t67 () (@var "BOUND_VARIABLE_7673" tptp.a)) % 0.39/0.61 (define @t68 () (lambda (@list @t67) false)) % 0.39/0.61 (define @t69 () (= @t41 @t68)) % 0.39/0.61 (define @t70 () (_ @t5 @t10)) % 0.39/0.61 (define @t71 () (not @t70)) % 0.39/0.61 (define @t72 () (_ @t34 @t5)) % 0.39/0.61 (define @t73 () (lambda @t16 (not (forall @t37 (or (not @t72) @t71))))) % 0.39/0.61 (define @t74 () (= @t65 @t73)) % 0.39/0.61 (define @t75 () (= @t68 @t73)) % 0.39/0.61 (define @t76 () (_ @t34 @t41)) % 0.39/0.61 (define @t77 () (forall @t47 (or (not @t76) @t69 @t66))) % 0.39/0.61 (define @t78 () (not @t77)) % 0.39/0.61 (define @t79 () (or @t78 @t75 @t74)) % 0.39/0.61 (define @t80 () (@list @t34)) % 0.39/0.61 (define @t81 () (forall @t80 @t79)) % 0.39/0.61 (define @t82 () (@quantifiers_skolemize @t81 0)) % 0.39/0.61 (define @t83 () (forall @t47 (or (not (_ @t82 @t41)) @t69 @t66))) % 0.39/0.61 (define @t84 () (@purify @t65)) % 0.39/0.61 (define @t85 () (not (_ @t82 @t5))) % 0.39/0.61 (define @t86 () (lambda @t16 (not (forall @t37 (or @t85 @t71))))) % 0.39/0.61 (define @t87 () (@purify @t86)) % 0.39/0.61 (define @t88 () (= @t87 @t84)) % 0.39/0.61 (define @t89 () (@purify @t68)) % 0.39/0.61 (define @t90 () (= @t87 @t89)) % 0.39/0.61 (define @t91 () (not @t83)) % 0.39/0.61 (define @t92 () (or @t91 @t90 @t88)) % 0.39/0.61 (define @t93 () (@const 0 tptp.a)) % 0.39/0.61 (define @t94 () (forall @t37 (or @t85 (not (_ @t5 @t93))))) % 0.39/0.61 (define @t95 () (@quantifiers_skolemize @t94 0)) % 0.39/0.61 (define @t96 () (= @t65 @t95)) % 0.39/0.61 (define @t97 () (= @t68 @t95)) % 0.39/0.61 (define @t98 () (_ @t82 @t95)) % 0.39/0.61 (define @t99 () (not @t98)) % 0.39/0.61 (define @t100 () (or @t99 @t97 @t96)) % 0.39/0.61 (define @t101 () (or @t99 (= @t95 @t68) (= @t95 @t65))) % 0.39/0.61 (define @t102 () (@list @t95)) % 0.39/0.61 (define @t103 () (not @t94)) % 0.39/0.61 (define @t104 () (_ @t68 @t93)) % 0.39/0.61 (define @t105 () (_ @t89 @t93)) % 0.39/0.61 (define @t106 () (= (_ @t86 @t93) @t103)) % 0.39/0.61 (define @t107 () (_ @t87 @t93)) % 0.39/0.61 (define @t108 () (= @t107 @t105)) % 0.39/0.61 (define @t109 () (not @t108)) % 0.39/0.61 (define @t110 () (or @t90 @t109)) % 0.39/0.61 (define @t111 () (@const 1 tptp.a)) % 0.39/0.61 (define @t112 () (forall @t37 (or @t85 (not (_ @t5 @t111))))) % 0.39/0.61 (define @t113 () (not @t112)) % 0.39/0.61 (define @t114 () (_ @t84 @t111)) % 0.39/0.61 (define @t115 () (= (_ @t86 @t111) @t113)) % 0.39/0.61 (define @t116 () (_ @t87 @t111)) % 0.39/0.61 (define @t117 () (= @t116 @t114)) % 0.39/0.61 (define @t118 () (not @t117)) % 0.39/0.61 (define @t119 () (or @t88 @t118)) % 0.39/0.61 (define @t120 () (_ @t95 @t93)) % 0.39/0.61 (define @t121 () (not @t120)) % 0.39/0.61 (define @t122 () (or @t99 @t121)) % 0.39/0.61 (define @t123 () (not @t122)) % 0.39/0.61 (define @t124 () (_ @t95 @t111)) % 0.39/0.61 (define @t125 () (not @t124)) % 0.39/0.61 (define @t126 () (or @t99 @t125)) % 0.39/0.61 (define @t127 () (_ @t95 @t93)) % 0.39/0.61 (define @t128 () (not @t127)) % 0.39/0.61 (define @t129 () (= @t89 @t95)) % 0.39/0.61 (define @t130 () (=> (= @t95 @t89) (= @t127 false))) % 0.39/0.61 (define @t131 () (= @t84 @t95)) % 0.39/0.61 (define @t132 () (or @t99 @t129 @t131)) % 0.39/0.61 (define @t133 () (_ @t95 @t111)) % 0.39/0.61 (define @t134 () (=> (= @t95 @t84) (= @t133 true))) % 0.39/0.61 (define @t135 () (not @t92)) % 0.39/0.61 (define @t136 () (not @t81)) % 0.39/0.61 (define @t137 () (= @t65 @t86)) % 0.39/0.61 (define @t138 () (= @t68 @t86)) % 0.39/0.61 (define @t139 () (or @t91 @t138 @t137)) % 0.39/0.61 (define @t140 () (not @t139)) % 0.39/0.61 (define @t141 () (@list false)) % 0.39/0.61 (define @t142 () (_ @t11 @t10)) % 0.39/0.61 (define @t143 () (_ @t13 @t10)) % 0.39/0.61 (define @t144 () (lambda @t16 (and @t143 @t142))) % 0.39/0.61 (define @t145 () (= @t65 @t144)) % 0.39/0.61 (define @t146 () (= @t68 @t144)) % 0.39/0.61 (define @t147 () (= @t11 @t65)) % 0.39/0.61 (define @t148 () (= @t11 @t68)) % 0.39/0.61 (define @t149 () (and (not @t148) (not @t147))) % 0.39/0.61 (define @t150 () (= @t13 @t65)) % 0.39/0.61 (define @t151 () (= @t13 @t68)) % 0.39/0.61 (define @t152 () (and (not @t151) (not @t150))) % 0.39/0.61 (define @t153 () (or @t152 @t149 @t146 @t145)) % 0.39/0.61 (define @t154 () (@list @t13 @t11)) % 0.39/0.61 (define @t155 () (forall @t154 @t153)) % 0.39/0.61 (define @t156 () (not (= @t144 @t144))) % 0.39/0.61 (define @t157 () (or @t152 @t149 @t156 (= @t144 @t68) (= @t144 @t65))) % 0.39/0.61 (define @t158 () (= @t5 @t65)) % 0.39/0.61 (define @t159 () (= @t5 @t68)) % 0.39/0.61 (define @t160 () (not (= @t5 @t144))) % 0.39/0.61 (define @t161 () (or @t160 @t152 @t149 @t160 @t159 @t158)) % 0.39/0.61 (define @t162 () (or @t152 @t149 @t160 @t159 @t158)) % 0.39/0.61 (define @t163 () (forall @t37 @t162)) % 0.39/0.61 (define @t164 () (forall @t154 @t163)) % 0.39/0.61 (define @t165 () (not @t18)) % 0.39/0.61 (define @t166 () (or @t152 @t149 @t165 @t159 @t158)) % 0.39/0.61 (define @t167 () (or @t159 @t158)) % 0.39/0.61 (define @t168 () (or @t148 @t147)) % 0.39/0.61 (define @t169 () (not @t168)) % 0.39/0.61 (define @t170 () (or @t151 @t150)) % 0.39/0.61 (define @t171 () (not @t170)) % 0.39/0.61 (define @t172 () (or @t171 @t169 @t165)) % 0.39/0.61 (define @t173 () (and @t170 @t168 @t18)) % 0.39/0.61 (define @t174 () (@list @t2)) % 0.39/0.61 (define @t175 () (@list @t64)) % 0.39/0.61 (define @t176 () (@list @t67)) % 0.39/0.61 (define @t177 () (not (= @t73 @t73))) % 0.39/0.61 (define @t178 () (or @t78 @t177 (= @t73 @t68) (= @t73 @t65))) % 0.39/0.61 (define @t179 () (= @t29 @t65)) % 0.39/0.61 (define @t180 () (= @t29 @t68)) % 0.39/0.61 (define @t181 () (= @t29 @t73)) % 0.39/0.61 (define @t182 () (not @t181)) % 0.39/0.61 (define @t183 () (or @t182 @t78 @t182 @t180 @t179)) % 0.39/0.61 (define @t184 () (or @t78 @t182 @t180 @t179)) % 0.39/0.61 (define @t185 () (forall @t56 @t184)) % 0.39/0.61 (define @t186 () (forall @t80 @t185)) % 0.39/0.61 (define @t187 () (or @t180 @t179)) % 0.39/0.61 (define @t188 () (and @t77 @t181)) % 0.39/0.61 (define @t189 () (not @t33)) % 0.39/0.61 (define @t190 () (not @t35)) % 0.39/0.61 (define @t191 () (or @t190 @t189)) % 0.39/0.61 (define @t192 () (forall @t37 (not @t36))) % 0.39/0.61 (define @t193 () (not @t192)) % 0.39/0.61 (define @t194 () (not @t45)) % 0.39/0.61 (define @t195 () (or @t194 @t69 @t66)) % 0.39/0.61 (define @t196 () (or @t69 @t66)) % 0.39/0.61 (define @t197 () (not @t179)) % 0.39/0.61 (define @t198 () (@list @t10)) % 0.39/0.61 (define @t199 () (not @t180)) % 0.39/0.61 (define @t200 () (not @t155)) % 0.39/0.61 (define @t201 () (@quantifiers_skolemize @t155 1)) % 0.39/0.61 (define @t202 () (@quantifiers_skolemize @t155 0)) % 0.39/0.61 (define @t203 () (lambda @t16 (and (_ @t202 @t10) (_ @t201 @t10)))) % 0.39/0.61 (define @t204 () (@purify @t203)) % 0.39/0.61 (define @t205 () (= @t84 @t204)) % 0.39/0.61 (define @t206 () (= @t89 @t204)) % 0.39/0.61 (define @t207 () (= @t201 @t84)) % 0.39/0.61 (define @t208 () (not @t207)) % 0.39/0.61 (define @t209 () (= @t201 @t89)) % 0.39/0.61 (define @t210 () (not @t209)) % 0.39/0.61 (define @t211 () (and @t210 @t208)) % 0.39/0.61 (define @t212 () (= @t202 @t84)) % 0.39/0.61 (define @t213 () (not @t212)) % 0.39/0.61 (define @t214 () (= @t202 @t89)) % 0.39/0.61 (define @t215 () (not @t214)) % 0.39/0.61 (define @t216 () (and @t215 @t213)) % 0.39/0.61 (define @t217 () (or @t216 @t211 @t206 @t205)) % 0.39/0.61 (define @t218 () (not @t217)) % 0.39/0.61 (define @t219 () (= @t65 @t203)) % 0.39/0.61 (define @t220 () (= @t68 @t203)) % 0.39/0.61 (define @t221 () (= @t65 @t201)) % 0.39/0.61 (define @t222 () (not @t221)) % 0.39/0.61 (define @t223 () (= @t68 @t201)) % 0.39/0.61 (define @t224 () (not @t223)) % 0.39/0.61 (define @t225 () (and @t224 @t222)) % 0.39/0.61 (define @t226 () (= @t65 @t202)) % 0.39/0.61 (define @t227 () (not @t226)) % 0.39/0.61 (define @t228 () (= @t68 @t202)) % 0.39/0.61 (define @t229 () (not @t228)) % 0.39/0.61 (define @t230 () (and @t229 @t227)) % 0.39/0.61 (define @t231 () (or @t230 @t225 @t220 @t219)) % 0.39/0.61 (define @t232 () (not @t231)) % 0.39/0.61 (define @t233 () (not (= @t201 @t65))) % 0.39/0.61 (define @t234 () (not (= @t201 @t68))) % 0.39/0.61 (define @t235 () (and @t234 @t233)) % 0.39/0.61 (define @t236 () (not (= @t202 @t65))) % 0.39/0.61 (define @t237 () (not (= @t202 @t68))) % 0.39/0.61 (define @t238 () (and @t237 @t236)) % 0.39/0.61 (define @t239 () (or @t238 @t235 @t220 @t219)) % 0.39/0.61 (define @t240 () (not @t239)) % 0.39/0.61 (define @t241 () (@list true)) % 0.39/0.61 (define @t242 () (@list @t217)) % 0.39/0.61 (define @t243 () (@const 2 tptp.a)) % 0.39/0.61 (define @t244 () (_ @t201 @t243)) % 0.39/0.61 (define @t245 () (_ @t202 @t243)) % 0.39/0.61 (define @t246 () (and @t245 @t244)) % 0.39/0.61 (define @t247 () (= (_ @t203 @t243) @t246)) % 0.39/0.61 (define @t248 () (_ @t204 @t243)) % 0.39/0.61 (define @t249 () (_ @t84 @t243)) % 0.39/0.61 (define @t250 () (= @t249 @t248)) % 0.39/0.61 (define @t251 () (not @t250)) % 0.39/0.61 (define @t252 () (or @t205 @t251)) % 0.39/0.61 (define @t253 () (@const 3 tptp.a)) % 0.39/0.61 (define @t254 () (_ @t201 @t253)) % 0.39/0.61 (define @t255 () (_ @t202 @t253)) % 0.39/0.61 (define @t256 () (and @t255 @t254)) % 0.39/0.61 (define @t257 () (= (_ @t203 @t253) @t256)) % 0.39/0.61 (define @t258 () (_ @t204 @t253)) % 0.39/0.61 (define @t259 () (_ @t68 @t253)) % 0.39/0.61 (define @t260 () (_ @t89 @t253)) % 0.39/0.61 (define @t261 () (= @t260 @t258)) % 0.39/0.61 (define @t262 () (not @t261)) % 0.39/0.61 (define @t263 () (or @t206 @t262)) % 0.39/0.61 (define @t264 () (not @t256)) % 0.39/0.61 (define @t265 () (@list @t256)) % 0.39/0.61 (define @t266 () (_ @t202 @t253)) % 0.39/0.61 (define @t267 () (not @t266)) % 0.39/0.61 (define @t268 () (=> @t214 (= @t266 false))) % 0.39/0.61 (define @t269 () (@list true true)) % 0.39/0.61 (define @t270 () (_ @t202 @t243)) % 0.39/0.61 (define @t271 () (=> @t212 (= @t270 true))) % 0.39/0.61 (define @t272 () (_ @t201 @t253)) % 0.39/0.61 (define @t273 () (not @t272)) % 0.39/0.61 (define @t274 () (=> @t209 (= @t272 false))) % 0.39/0.61 (define @t275 () (_ @t201 @t243)) % 0.39/0.61 (define @t276 () (=> @t207 (= @t275 true))) % 0.39/0.61 (assume @p1 @t63) % 0.39/0.61 (assume @p2 true) % 0.39/0.61 (step @p3 :rule bool-double-not-elim :args (@t83)) % 0.39/0.61 (step @p4 :rule refl :args (@t92)) % 0.39/0.61 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t92 (not @t91)))) % 0.39/0.61 (step @p6 :rule cnf_or_neg :args (@t92 0)) % 0.39/0.61 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 0.39/0.61 (step @p8 :rule reordering :premises (@p7) :args ((or @t83 @t92))) % 0.39/0.61 (step @p9 :rule cnf_or_neg :args (@t92 1)) % 0.39/0.61 (step @p10 :rule cnf_or_neg :args (@t92 2)) % 0.39/0.61 (step @p11 :rule refl :args (@t95)) % 0.39/0.61 (step @p12 :rule eq-refl :args (@t65)) % 0.39/0.61 (step @p13 :rule refl :args (@t65)) % 0.39/0.61 (step @p14 :rule symm :premises (@p13)) % 0.39/0.61 (step @p15 :rule refl :args (@t65)) % 0.39/0.61 (step @p16 :rule cong :premises (@p15 @p14) :args ((= @t65 @t65))) % 0.39/0.61 (step @p17 :rule trans :premises (@p16 @p12)) % 0.39/0.61 (step @p18 :rule skolem_intro :args (@t84)) % 0.39/0.61 (step @p19 :rule cong :premises (@p15 @p18) :args ((= @t65 @t84))) % 0.39/0.61 (step @p20 :rule trans :premises (@p19 @p17)) % 0.39/0.61 (step @p21 :rule true_elim :premises (@p20)) % 0.39/0.61 (step @p22 :rule cong :premises (@p21 @p11) :args (@t96)) % 0.39/0.61 (step @p23 :rule eq-refl :args (@t68)) % 0.39/0.61 (step @p24 :rule refl :args (@t68)) % 0.39/0.61 (step @p25 :rule symm :premises (@p24)) % 0.39/0.61 (step @p26 :rule refl :args (@t68)) % 0.39/0.61 (step @p27 :rule cong :premises (@p26 @p25) :args ((= @t68 @t68))) % 0.39/0.61 (step @p28 :rule trans :premises (@p27 @p23)) % 0.39/0.61 (step @p29 :rule skolem_intro :args (@t89)) % 0.39/0.61 (step @p30 :rule cong :premises (@p26 @p29) :args ((= @t68 @t89))) % 0.39/0.61 (step @p31 :rule trans :premises (@p30 @p28)) % 0.39/0.61 (step @p32 :rule true_elim :premises (@p31)) % 0.39/0.61 (step @p33 :rule cong :premises (@p32 @p11) :args (@t97)) % 0.39/0.61 (step @p34 :rule refl :args (@t99)) % 0.39/0.61 (step @p35 :rule nary_cong :premises (@p34 @p33 @p22) :args (@t100)) % 0.39/0.61 (step @p36 :rule refl :args (@t83)) % 0.39/0.61 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t83 @t100))) % 0.39/0.61 (step @p38 :rule eq-symm :args (@t95 @t65)) % 0.39/0.61 (step @p39 :rule eq-symm :args (@t95 @t68)) % 0.39/0.61 (step @p40 :rule nary_cong :premises (@p34 @p39 @p38) :args (@t101)) % 0.39/0.61 (step @p41 :rule cong :premises (@p36 @p40) :args ((=> @t83 @t101))) % 0.39/0.61 (assume-push @p601 @t83) % 0.39/0.61 (step @p43 :rule instantiate :premises (@p601) :args (@t102)) % 0.39/0.61 (step-pop @p602 :rule scope :premises (@p43)) % 0.39/0.61 (step @p44 :rule process_scope :premises (@p602) :args (@t101)) % 0.39/0.61 (step @p46 :rule eq_resolve :premises (@p44 @p41)) % 0.39/0.61 (step @p47 :rule eq_resolve :premises (@p46 @p37)) % 0.39/0.61 (step @p48 :rule implies_elim :premises (@p47)) % 0.39/0.61 (step @p49 :rule bool-double-not-elim :args (@t94)) % 0.39/0.61 (step @p50 :rule bool-eq-false :args (@t103)) % 0.39/0.61 (step @p51 :rule trans :premises (@p50 @p49)) % 0.39/0.61 (step @p52 :rule evaluate :args (@t1)) % 0.39/0.61 (step @p53 :rule beta-reduce :args ((= @t104 false))) % 0.39/0.61 (step @p54 :rule cong :premises (@p53) :args ((not @t104))) % 0.39/0.61 (step @p55 :rule trans :premises (@p54 @p52)) % 0.39/0.61 (step @p56 :rule refl :args (@t93)) % 0.39/0.61 (step @p57 :rule ho_cong :premises (@p29 @p56)) % 0.39/0.61 (step @p58 :rule cong :premises (@p57) :args ((not @t105))) % 0.39/0.61 (step @p59 :rule bool-eq-false :args (@t105)) % 0.39/0.61 (step @p60 :rule trans :premises (@p59 @p58 @p55)) % 0.39/0.61 (step @p61 :rule true_elim :premises (@p60)) % 0.39/0.61 (step @p62 :rule eq-refl :args (@t103)) % 0.39/0.61 (step @p63 :rule refl :args (@t103)) % 0.39/0.61 (step @p64 :rule beta-reduce :args (@t106)) % 0.39/0.61 (step @p65 :rule cong :premises (@p64 @p63) :args (@t106)) % 0.39/0.61 (step @p66 :rule trans :premises (@p65 @p62)) % 0.39/0.61 (step @p67 :rule skolem_intro :args (@t87)) % 0.39/0.61 (step @p68 :rule ho_cong :premises (@p67 @p56)) % 0.39/0.61 (step @p69 :rule cong :premises (@p68 @p63) :args ((= @t107 @t103))) % 0.39/0.61 (step @p70 :rule trans :premises (@p69 @p66)) % 0.39/0.61 (step @p71 :rule true_elim :premises (@p70)) % 0.39/0.61 (step @p72 :rule cong :premises (@p71 @p61) :args (@t108)) % 0.39/0.61 (step @p73 :rule trans :premises (@p72 @p51)) % 0.39/0.61 (step @p74 :rule cong :premises (@p73) :args (@t109)) % 0.39/0.61 (step @p75 :rule refl :args (@t90)) % 0.39/0.61 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t110)) % 0.39/0.61 ; WARNING: add trust step for TRUST % 0.39/0.61 ; trust TRUST THEORY_LEMMA % 0.39/0.61 (step @p77 :rule trust :premises () :args (@t110)) % 0.39/0.61 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.39/0.61 (step @p79 :rule bool-double-not-elim :args (@t112)) % 0.39/0.61 (step @p80 :rule bool-eq-true :args (@t113)) % 0.39/0.61 (step @p81 :rule beta-reduce :args ((= (_ @t65 @t111) true))) % 0.39/0.61 (step @p82 :rule refl :args (@t111)) % 0.39/0.61 (step @p83 :rule ho_cong :premises (@p18 @p82)) % 0.39/0.61 (step @p84 :rule bool-eq-true :args (@t114)) % 0.39/0.61 (step @p85 :rule trans :premises (@p84 @p83 @p81)) % 0.39/0.61 (step @p86 :rule true_elim :premises (@p85)) % 0.39/0.61 (step @p87 :rule eq-refl :args (@t113)) % 0.39/0.61 (step @p88 :rule refl :args (@t113)) % 0.39/0.61 (step @p89 :rule beta-reduce :args (@t115)) % 0.39/0.61 (step @p90 :rule cong :premises (@p89 @p88) :args (@t115)) % 0.39/0.61 (step @p91 :rule trans :premises (@p90 @p87)) % 0.39/0.61 (step @p92 :rule ho_cong :premises (@p67 @p82)) % 0.39/0.61 (step @p93 :rule cong :premises (@p92 @p88) :args ((= @t116 @t113))) % 0.39/0.61 (step @p94 :rule trans :premises (@p93 @p91)) % 0.39/0.61 (step @p95 :rule true_elim :premises (@p94)) % 0.39/0.61 (step @p96 :rule cong :premises (@p95 @p86) :args (@t117)) % 0.39/0.61 (step @p97 :rule trans :premises (@p96 @p80)) % 0.39/0.61 (step @p98 :rule cong :premises (@p97) :args (@t118)) % 0.39/0.61 (step @p99 :rule trans :premises (@p98 @p79)) % 0.39/0.61 (step @p100 :rule refl :args (@t88)) % 0.39/0.61 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t119)) % 0.39/0.61 ; trust TRUST THEORY_LEMMA % 0.39/0.61 (step @p102 :rule trust :premises () :args (@t119)) % 0.39/0.61 (step @p103 :rule eq_resolve :premises (@p102 @p101)) % 0.39/0.61 (step @p104 :rule refl :args (@t123)) % 0.39/0.61 (step @p105 :rule nary_cong :premises (@p49 @p104) :args ((or (not @t103) @t123))) % 0.39/0.61 (assume-push @p603 @t103) % 0.39/0.61 (step @p107 :rule skolemize :premises (@p603)) % 0.39/0.61 (step-pop @p604 :rule scope :premises (@p107)) % 0.39/0.61 (step @p108 :rule process_scope :premises (@p604) :args (@t123)) % 0.39/0.61 (step @p110 :rule implies_elim :premises (@p108)) % 0.39/0.61 (step @p111 :rule eq_resolve :premises (@p110 @p105)) % 0.39/0.61 (assume-push @p605 @t112) % 0.39/0.61 (step @p113 :rule instantiate :premises (@p605) :args (@t102)) % 0.39/0.61 (step-pop @p606 :rule scope :premises (@p113)) % 0.39/0.61 (step @p114 :rule process_scope :premises (@p606) :args (@t126)) % 0.39/0.61 (step @p116 :rule implies_elim :premises (@p114)) % 0.39/0.61 (step @p117 :rule bool-double-not-elim :args (@t98)) % 0.39/0.61 (step @p118 :rule refl :args (@t122)) % 0.39/0.61 (step @p119 :rule nary_cong :premises (@p118 @p117) :args ((or @t122 (not @t99)))) % 0.39/0.61 (step @p120 :rule cnf_or_neg :args (@t122 0)) % 0.39/0.61 (step @p121 :rule eq_resolve :premises (@p120 @p119)) % 0.39/0.61 (step @p122 :rule reordering :premises (@p121) :args ((or @t98 @t122))) % 0.39/0.61 (step @p123 :rule bool-double-not-elim :args (@t120)) % 0.39/0.61 (step @p124 :rule nary_cong :premises (@p118 @p123) :args ((or @t122 (not @t121)))) % 0.39/0.61 (step @p125 :rule cnf_or_neg :args (@t122 1)) % 0.39/0.61 (step @p126 :rule eq_resolve :premises (@p125 @p124)) % 0.39/0.61 (step @p127 :rule reordering :premises (@p126) :args ((or @t120 @t122))) % 0.39/0.61 (step @p128 :rule cnf_or_pos :args (@t126)) % 0.39/0.61 (step @p129 :rule reordering :premises (@p128) :args ((or @t99 @t125 (not @t126)))) % 0.39/0.61 (step @p130 :rule refl :args (@t120)) % 0.39/0.61 (step @p131 :rule refl :args (@t127)) % 0.39/0.61 (step @p132 :rule cong :premises (@p131 @p130) :args ((= @t127 @t120))) % 0.39/0.61 (step @p133 :rule symm :premises (@p132)) % 0.39/0.61 (step @p134 :rule eq_resolve :premises (@p131 @p133)) % 0.39/0.61 (step @p135 :rule cong :premises (@p134) :args (@t128)) % 0.39/0.61 (step @p136 :rule refl :args (@t129)) % 0.39/0.61 (step @p137 :rule cong :premises (@p136 @p135) :args ((=> @t129 @t128))) % 0.39/0.61 (step @p138 :rule bool-eq-false :args (@t127)) % 0.39/0.61 (step @p139 :rule eq-symm :args (@t95 @t89)) % 0.39/0.61 (step @p140 :rule cong :premises (@p139 @p138) :args (@t130)) % 0.39/0.61 (step @p141 :rule trans :premises (@p140 @p137)) % 0.39/0.61 ; trust TRUST THEORY_LEMMA % 0.39/0.61 (step @p142 :rule trust :premises () :args (@t130)) % 0.39/0.61 (step @p143 :rule eq_resolve :premises (@p142 @p141)) % 0.39/0.61 (step @p144 :rule implies_elim :premises (@p143)) % 0.39/0.61 (step @p145 :rule reordering :premises (@p144) :args ((or @t121 (not @t129)))) % 0.39/0.61 (step @p146 :rule cnf_or_pos :args (@t132)) % 0.39/0.61 (step @p147 :rule reordering :premises (@p146) :args ((or @t99 @t131 @t129 (not @t132)))) % 0.39/0.61 (step @p148 :rule refl :args (@t124)) % 0.39/0.61 (step @p149 :rule refl :args (@t133)) % 0.39/0.61 (step @p150 :rule cong :premises (@p149 @p148) :args ((= @t133 @t124))) % 0.39/0.61 (step @p151 :rule symm :premises (@p150)) % 0.39/0.61 (step @p152 :rule eq_resolve :premises (@p149 @p151)) % 0.39/0.61 (step @p153 :rule refl :args (@t131)) % 0.39/0.61 (step @p154 :rule cong :premises (@p153 @p152) :args ((=> @t131 @t133))) % 0.39/0.61 (step @p155 :rule bool-eq-true :args (@t133)) % 0.39/0.61 (step @p156 :rule eq-symm :args (@t95 @t84)) % 0.39/0.61 (step @p157 :rule cong :premises (@p156 @p155) :args (@t134)) % 0.39/0.61 (step @p158 :rule trans :premises (@p157 @p154)) % 0.39/0.61 ; trust TRUST THEORY_LEMMA % 0.39/0.61 (step @p159 :rule trust :premises () :args (@t134)) % 0.39/0.61 (step @p160 :rule eq_resolve :premises (@p159 @p158)) % 0.39/0.61 (step @p161 :rule implies_elim :premises (@p160)) % 0.39/0.61 (step @p162 :rule chain_m_resolution :premises (@p161 @p147 @p145 @p129 @p127 @p122 @p116 @p111 @p103 @p78 @p48 @p10 @p9 @p8) :args (@t92 (@list false true true false false false true false true false true true false) (@list @t131 @t129 @t124 @t120 @t98 @t126 @t122 @t112 @t94 @t132 @t88 @t90 @t83))) % 0.39/0.61 (step @p163 :rule refl :args (@t135)) % 0.39/0.61 (step @p164 :rule bool-double-not-elim :args (@t81)) % 0.39/0.61 (step @p165 :rule nary_cong :premises (@p164 @p163) :args ((or (not @t136) @t135))) % 0.39/0.61 (step @p166 :rule eq-symm :args (@t84 @t87)) % 0.39/0.61 (step @p167 :rule eq-refl :args (@t86)) % 0.39/0.61 (step @p168 :rule refl :args (@t86)) % 0.39/0.61 (step @p169 :rule cong :premises (@p168 @p67) :args ((= @t86 @t87))) % 0.39/0.61 (step @p170 :rule trans :premises (@p169 @p167)) % 0.39/0.61 (step @p171 :rule true_elim :premises (@p170)) % 0.39/0.61 (step @p172 :rule cong :premises (@p21 @p171) :args (@t137)) % 0.39/0.61 (step @p173 :rule trans :premises (@p172 @p166)) % 0.39/0.61 (step @p174 :rule eq-symm :args (@t89 @t87)) % 0.39/0.61 (step @p175 :rule cong :premises (@p32 @p171) :args (@t138)) % 0.39/0.61 (step @p176 :rule trans :premises (@p175 @p174)) % 0.39/0.61 (step @p177 :rule refl :args (@t91)) % 0.39/0.61 (step @p178 :rule nary_cong :premises (@p177 @p176 @p173) :args (@t139)) % 0.39/0.61 (step @p179 :rule cong :premises (@p178) :args (@t140)) % 0.39/0.61 (step @p180 :rule refl :args (@t136)) % 0.39/0.61 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t136 @t140))) % 0.39/0.61 (assume-push @p607 @t136) % 0.39/0.61 (step @p183 :rule skolemize :premises (@p607)) % 0.39/0.61 (step-pop @p608 :rule scope :premises (@p183)) % 0.39/0.61 (step @p184 :rule process_scope :premises (@p608) :args (@t140)) % 0.39/0.61 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 0.39/0.61 (step @p187 :rule implies_elim :premises (@p186)) % 0.39/0.61 (step @p188 :rule eq_resolve :premises (@p187 @p165)) % 0.39/0.61 (step @p189 :rule chain_m_resolution :premises (@p188 @p162) :args (@t81 @t141 (@list @t92))) % 0.39/0.61 (step @p190 :rule aci_norm :args ((= (and true true @t81 @t155) (and @t81 @t155)))) % 0.39/0.61 (step @p191 :rule aci_norm :args ((= (or @t152 @t149 false @t146 @t145) @t153))) % 0.39/0.61 (step @p192 :rule eq-symm :args (@t144 @t65)) % 0.39/0.61 (step @p193 :rule eq-symm :args (@t144 @t68)) % 0.39/0.61 (step @p194 :rule evaluate :args ((not true))) % 0.39/0.61 (step @p195 :rule eq-refl :args (@t144)) % 0.39/0.61 (step @p196 :rule cong :premises (@p195) :args (@t156)) % 0.39/0.61 (step @p197 :rule trans :premises (@p196 @p194)) % 0.39/0.61 (step @p198 :rule refl :args (@t149)) % 0.39/0.61 (step @p199 :rule refl :args (@t152)) % 0.39/0.61 (step @p200 :rule nary_cong :premises (@p199 @p198 @p197 @p193 @p192) :args (@t157)) % 0.39/0.61 (step @p201 :rule trans :premises (@p200 @p191)) % 0.39/0.61 (step @p202 :rule cong :premises (@p201) :args ((forall @t154 @t157))) % 0.39/0.61 (step @p203 :rule quant-var-elim-eq :args ((= (forall @t37 @t161) @t157))) % 0.39/0.61 (step @p204 :rule aci_norm :args ((= @t162 @t161))) % 0.39/0.61 (step @p205 :rule cong :premises (@p204) :args (@t163)) % 0.39/0.61 (step @p206 :rule trans :premises (@p205 @p203)) % 0.39/0.61 (step @p207 :rule cong :premises (@p206) :args (@t164)) % 0.39/0.61 (step @p208 :rule quant-merge-prenex :args ((= @t164 (forall @t27 @t162)))) % 0.39/0.61 (step @p209 :rule symm :premises (@p208)) % 0.39/0.61 (step @p210 :rule trans :premises (@p209 @p207)) % 0.39/0.61 (step @p211 :rule trans :premises (@p210 @p202)) % 0.39/0.61 (step @p212 :rule refl :args (@t158)) % 0.39/0.61 (step @p213 :rule refl :args (@t159)) % 0.39/0.61 (step @p214 :rule refl :args (@t142)) % 0.39/0.61 (step @p215 :rule refl :args (@t12)) % 0.39/0.61 (step @p216 :rule cong :premises (@p215 @p214) :args ((= @t12 @t142))) % 0.39/0.61 (step @p217 :rule symm :premises (@p216)) % 0.39/0.61 (step @p218 :rule eq_resolve :premises (@p215 @p217)) % 0.39/0.61 (step @p219 :rule refl :args (@t143)) % 0.39/0.61 (step @p220 :rule refl :args (@t14)) % 0.39/0.61 (step @p221 :rule cong :premises (@p220 @p219) :args ((= @t14 @t143))) % 0.39/0.61 (step @p222 :rule symm :premises (@p221)) % 0.39/0.61 (step @p223 :rule eq_resolve :premises (@p220 @p222)) % 0.39/0.61 (step @p224 :rule nary_cong :premises (@p223 @p218) :args (@t15)) % 0.39/0.61 (step @p225 :rule cong :premises (@p224) :args (@t17)) % 0.39/0.61 (step @p226 :rule refl :args (@t5)) % 0.39/0.61 (step @p227 :rule cong :premises (@p226 @p225) :args (@t18)) % 0.39/0.61 (step @p228 :rule cong :premises (@p227) :args (@t165)) % 0.39/0.61 (step @p229 :rule refl :args (@t149)) % 0.39/0.61 (step @p230 :rule refl :args (@t152)) % 0.39/0.61 (step @p231 :rule nary_cong :premises (@p230 @p229 @p228 @p213 @p212) :args (@t166)) % 0.39/0.61 (step @p232 :rule cong :premises (@p231) :args ((forall @t27 @t166))) % 0.39/0.61 (step @p233 :rule trans :premises (@p232 @p211)) % 0.39/0.61 (step @p234 :rule aci_norm :args ((= (or (or @t152 @t149 @t165) @t167) @t166))) % 0.39/0.61 (step @p235 :rule refl :args (@t167)) % 0.39/0.61 (step @p236 :rule refl :args (@t165)) % 0.39/0.61 (step @p237 :rule bool-or-de-morgan :args (@t148 @t147 false)) % 0.39/0.61 (step @p238 :rule bool-or-de-morgan :args (@t151 @t150 false)) % 0.39/0.61 (step @p239 :rule nary_cong :premises (@p238 @p237 @p236) :args (@t172)) % 0.39/0.61 (step @p240 :rule aci_norm :args ((= (or @t171 (or @t169 @t165)) @t172))) % 0.39/0.61 (step @p241 :rule bool-and-de-morgan :args (@t168 @t18 true)) % 0.39/0.61 (step @p242 :rule refl :args 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THEORY_LEMMA % 0.39/0.61 (step @p479 :rule trust :premises () :args (@t252)) % 0.39/0.61 (step @p480 :rule eq_resolve :premises (@p479 @p478)) % 0.39/0.61 (step @p481 :rule chain_m_resolution :premises (@p480 @p455) :args ((not @t246) @t241 (@list @t205))) % 0.39/0.61 (step @p482 :rule cnf_or_neg :args (@t217 0)) % 0.39/0.61 (step @p483 :rule chain_m_resolution :premises (@p482 @p453) :args ((not @t216) @t241 @t242)) % 0.39/0.61 (step @p484 :rule cnf_or_neg :args (@t217 2)) % 0.39/0.61 (step @p485 :rule chain_m_resolution :premises (@p484 @p453) :args ((not @t206) @t241 @t242)) % 0.39/0.61 (step @p486 :rule bool-double-not-elim :args (@t256)) % 0.39/0.61 (step @p487 :rule bool-eq-false :args (@t256)) % 0.39/0.61 (step @p488 :rule eq-symm :args (false @t256)) % 0.39/0.61 (step @p489 :rule trans :premises (@p488 @p487)) % 0.39/0.61 (step @p490 :rule eq-refl :args (@t256)) % 0.39/0.61 (step @p491 :rule refl :args (@t256)) % 0.39/0.61 (step @p492 :rule beta-reduce :args (@t257)) % 0.39/0.61 (step @p493 :rule cong :premises (@p492 @p491) :args (@t257)) % 0.39/0.61 (step @p494 :rule trans :premises (@p493 @p490)) % 0.39/0.61 (step @p495 :rule refl :args (@t253)) % 0.39/0.61 (step @p496 :rule ho_cong :premises (@p399 @p495)) % 0.39/0.61 (step @p497 :rule cong :premises (@p496 @p491) :args ((= @t258 @t256))) % 0.39/0.61 (step @p498 :rule trans :premises (@p497 @p494)) % 0.39/0.61 (step @p499 :rule true_elim :premises (@p498)) % 0.39/0.61 (step @p500 :rule beta-reduce :args ((= @t259 false))) % 0.39/0.61 (step @p501 :rule cong :premises (@p500) :args ((not @t259))) % 0.39/0.61 (step @p502 :rule trans :premises (@p501 @p52)) % 0.39/0.61 (step @p503 :rule ho_cong :premises (@p29 @p495)) % 0.39/0.61 (step @p504 :rule cong :premises (@p503) :args ((not @t260))) % 0.39/0.61 (step @p505 :rule bool-eq-false :args (@t260)) % 0.39/0.61 (step @p506 :rule trans :premises (@p505 @p504 @p502)) % 0.39/0.61 (step @p507 :rule true_elim :premises (@p506)) % 0.39/0.61 (step @p508 :rule cong :premises (@p507 @p499) :args (@t261)) % 0.39/0.61 (step @p509 :rule trans :premises (@p508 @p489)) % 0.39/0.61 (step @p510 :rule cong :premises (@p509) :args (@t262)) % 0.39/0.61 (step @p511 :rule trans :premises (@p510 @p486)) % 0.39/0.61 (step @p512 :rule refl :args (@t206)) % 0.39/0.61 (step @p513 :rule nary_cong :premises (@p512 @p511) :args (@t263)) % 0.39/0.61 ; trust TRUST THEORY_LEMMA % 0.39/0.61 (step @p514 :rule trust :premises () :args (@t263)) % 0.39/0.61 (step @p515 :rule eq_resolve :premises (@p514 @p513)) % 0.39/0.61 (step @p516 :rule chain_m_resolution :premises (@p515 @p485) :args (@t256 @t241 (@list @t206))) % 0.39/0.61 (step @p517 :rule cnf_and_pos :args (@t256 0)) % 0.39/0.61 (step @p518 :rule reordering :premises (@p517) :args ((or @t255 @t264))) % 0.39/0.61 (step @p519 :rule chain_m_resolution :premises (@p518 @p516) :args (@t255 @t141 @t265)) % 0.39/0.61 (step @p520 :rule refl :args (@t255)) % 0.39/0.61 (step @p521 :rule refl :args (@t266)) % 0.39/0.61 (step @p522 :rule cong :premises (@p521 @p520) :args ((= @t266 @t255))) % 0.39/0.61 (step @p523 :rule symm :premises (@p522)) % 0.39/0.61 (step @p524 :rule eq_resolve :premises (@p521 @p523)) % 0.39/0.61 (step @p525 :rule cong :premises (@p524) :args (@t267)) % 0.39/0.61 (step @p526 :rule refl :args (@t214)) % 0.39/0.61 (step @p527 :rule cong :premises (@p526 @p525) :args ((=> @t214 @t267))) % 0.39/0.61 (step @p528 :rule bool-eq-false :args (@t266)) % 0.39/0.61 (step @p529 :rule cong :premises (@p526 @p528) :args (@t268)) % 0.39/0.61 (step @p530 :rule trans :premises (@p529 @p527)) % 0.39/0.61 ; trust TRUST THEORY_LEMMA % 0.39/0.61 (step @p531 :rule trust :premises () :args (@t268)) % 0.39/0.61 (step @p532 :rule eq_resolve :premises (@p531 @p530)) % 0.39/0.61 (step @p533 :rule implies_elim :premises (@p532)) % 0.39/0.61 (step @p534 :rule chain_m_resolution :premises (@p533 @p519) :args (@t215 @t141 (@list @t255))) % 0.39/0.61 (step @p535 :rule bool-double-not-elim :args (@t212)) % 0.39/0.61 (step @p536 :rule bool-double-not-elim :args (@t214)) % 0.39/0.61 (step @p537 :rule refl :args (@t216)) % 0.39/0.61 (step @p538 :rule nary_cong :premises (@p537 @p536 @p535) :args ((or @t216 (not @t215) (not @t213)))) % 0.39/0.61 (step @p539 :rule cnf_and_neg :args (@t216)) % 0.39/0.61 (step @p540 :rule eq_resolve :premises (@p539 @p538)) % 0.39/0.61 (step @p541 :rule reordering :premises (@p540) :args ((or @t212 @t214 @t216))) % 0.39/0.61 (step @p542 :rule chain_m_resolution :premises (@p541 @p534 @p483) :args (@t212 @t269 (@list @t214 @t216))) % 0.39/0.61 (step @p543 :rule refl :args (@t245)) % 0.39/0.61 (step @p544 :rule refl :args (@t270)) % 0.39/0.61 (step @p545 :rule cong :premises (@p544 @p543) :args ((= @t270 @t245))) % 0.39/0.61 (step @p546 :rule symm :premises (@p545)) % 0.39/0.61 (step @p547 :rule eq_resolve :premises (@p544 @p546)) % 0.39/0.61 (step @p548 :rule refl :args (@t212)) % 0.39/0.61 (step @p549 :rule cong :premises (@p548 @p547) :args ((=> @t212 @t270))) % 0.39/0.61 (step @p550 :rule bool-eq-true :args (@t270)) % 0.39/0.61 (step @p551 :rule cong :premises (@p548 @p550) :args (@t271)) % 0.39/0.61 (step @p552 :rule trans :premises (@p551 @p549)) % 0.39/0.61 ; trust TRUST THEORY_LEMMA % 0.39/0.61 (step @p553 :rule trust :premises () :args (@t271)) % 0.39/0.61 (step @p554 :rule eq_resolve :premises (@p553 @p552)) % 0.39/0.61 (step @p555 :rule implies_elim :premises (@p554)) % 0.39/0.61 (step @p556 :rule chain_m_resolution :premises (@p555 @p542) :args (@t245 @t141 (@list @t212))) % 0.39/0.61 (step @p557 :rule cnf_or_neg :args (@t217 1)) % 0.39/0.61 (step @p558 :rule chain_m_resolution :premises (@p557 @p453) :args ((not @t211) @t241 @t242)) % 0.39/0.61 (step @p559 :rule cnf_and_pos :args (@t256 1)) % 0.39/0.61 (step @p560 :rule reordering :premises (@p559) :args ((or @t254 @t264))) % 0.39/0.61 (step @p561 :rule chain_m_resolution :premises (@p560 @p516) :args (@t254 @t141 @t265)) % 0.39/0.61 (step @p562 :rule refl :args (@t254)) % 0.39/0.61 (step @p563 :rule refl :args (@t272)) % 0.39/0.61 (step @p564 :rule cong :premises (@p563 @p562) :args ((= @t272 @t254))) % 0.39/0.61 (step @p565 :rule symm :premises (@p564)) % 0.39/0.61 (step @p566 :rule eq_resolve :premises (@p563 @p565)) % 0.39/0.61 (step @p567 :rule cong :premises (@p566) :args (@t273)) % 0.39/0.61 (step @p568 :rule refl :args (@t209)) % 0.39/0.61 (step @p569 :rule cong :premises (@p568 @p567) :args ((=> @t209 @t273))) % 0.39/0.61 (step @p570 :rule bool-eq-false :args (@t272)) % 0.39/0.61 (step @p571 :rule cong :premises (@p568 @p570) :args (@t274)) % 0.39/0.61 (step @p572 :rule trans :premises (@p571 @p569)) % 0.39/0.61 ; trust TRUST THEORY_LEMMA % 0.39/0.61 (step @p573 :rule trust :premises () :args (@t274)) % 0.39/0.61 (step @p574 :rule eq_resolve :premises (@p573 @p572)) % 0.39/0.61 (step @p575 :rule implies_elim :premises (@p574)) % 0.39/0.61 (step @p576 :rule chain_m_resolution :premises (@p575 @p561) :args (@t210 @t141 (@list @t254))) % 0.39/0.61 (step @p577 :rule bool-double-not-elim :args (@t207)) % 0.39/0.61 (step @p578 :rule bool-double-not-elim :args (@t209)) % 0.39/0.61 (step @p579 :rule refl :args (@t211)) % 0.39/0.61 (step @p580 :rule nary_cong :premises (@p579 @p578 @p577) :args ((or @t211 (not @t210) (not @t208)))) % 0.39/0.61 (step @p581 :rule cnf_and_neg :args (@t211)) % 0.39/0.61 (step @p582 :rule eq_resolve :premises (@p581 @p580)) % 0.39/0.61 (step @p583 :rule reordering :premises (@p582) :args ((or @t207 @t209 @t211))) % 0.39/0.61 (step @p584 :rule chain_m_resolution :premises (@p583 @p576 @p558) :args (@t207 @t269 (@list @t209 @t211))) % 0.39/0.61 (step @p585 :rule refl :args (@t244)) % 0.39/0.61 (step @p586 :rule refl :args (@t275)) % 0.39/0.61 (step @p587 :rule cong :premises (@p586 @p585) :args ((= @t275 @t244))) % 0.39/0.61 (step @p588 :rule symm :premises (@p587)) % 0.39/0.61 (step @p589 :rule eq_resolve :premises (@p586 @p588)) % 0.39/0.61 (step @p590 :rule refl :args (@t207)) % 0.39/0.61 (step @p591 :rule cong :premises (@p590 @p589) :args ((=> @t207 @t275))) % 0.39/0.61 (step @p592 :rule bool-eq-true :args (@t275)) % 0.39/0.61 (step @p593 :rule cong :premises (@p590 @p592) :args (@t276)) % 0.39/0.61 (step @p594 :rule trans :premises (@p593 @p591)) % 0.39/0.61 ; trust TRUST THEORY_LEMMA % 0.39/0.61 (step @p595 :rule trust :premises () :args (@t276)) % 0.39/0.61 (step @p596 :rule eq_resolve :premises (@p595 @p594)) % 0.39/0.61 (step @p597 :rule implies_elim :premises (@p596)) % 0.39/0.61 (step @p598 :rule chain_m_resolution :premises (@p597 @p584) :args (@t244 @t141 (@list @t207))) % 0.39/0.61 (step @p599 :rule cnf_and_neg :args (@t246)) % 0.39/0.61 (step @p600 false :rule chain_m_resolution :premises (@p599 @p598 @p556 @p481) :args (false (@list false false true) (@list @t244 @t245 @t246))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------