%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV102^5 : 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 : n024.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 08:55:27 AM UTC 2026 % Result : Theorem 128.38s 128.62s % Output : Proof 128.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEV102^5 : TPTP v9.2.1. Released v4.0.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 13:13:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.33 %----Proving TH0 % 128.38/128.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 128.38/128.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --mbqi-enum-choice-grammar-all --no-cegqi --no-sygus-inst at 30s... % 128.38/128.62 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-mbqi-nested-check --no-cegqi --no-sygus-inst at 30s... % 128.38/128.62 % SZS status Theorem % 128.38/128.62 % SZS output start Proof % 128.38/128.62 ( % 128.38/128.62 (declare-sort tptp.a 0) % 128.38/128.62 (define @t1 () (@var "Xy_55" tptp.a)) % 128.38/128.62 (define @t2 () (@var "Xy" tptp.a)) % 128.38/128.62 (define @t3 () (@var "Xx" tptp.a)) % 128.38/128.62 (define @t4 () (lambda (@list @t3 @t2) (= @t3 @t2))) % 128.38/128.62 (define @t5 () (_ @t4 @t1)) % 128.38/128.62 (define @t6 () (@var "Xx0" tptp.a)) % 128.38/128.62 (define @t7 () (@var "Xs" (-> tptp.a tptp.a))) % 128.38/128.62 (define @t8 () (_ @t7 @t6)) % 128.38/128.62 (define @t9 () (@var "Xy0" tptp.a)) % 128.38/128.62 (define @t10 () (= @t9 @t8)) % 128.38/128.62 (define @t11 () (@var "Xx" (-> tptp.a Bool))) % 128.38/128.62 (define @t12 () (_ @t11 @t6)) % 128.38/128.62 (define @t13 () (and @t12 @t10)) % 128.38/128.62 (define @t14 () (@list @t6)) % 128.38/128.62 (define @t15 () (lambda @t14 @t13)) % 128.38/128.62 (define @t16 () (= @t15 @t5)) % 128.38/128.62 (define @t17 () (@list @t1)) % 128.38/128.62 (define @t18 () (exists @t17 @t16)) % 128.38/128.62 (define @t19 () (@var "Xz" (-> tptp.a Bool))) % 128.38/128.62 (define @t20 () (_ @t19 @t9)) % 128.38/128.62 (define @t21 () (=> @t20 @t18)) % 128.38/128.62 (define @t22 () (@list @t9)) % 128.38/128.62 (define @t23 () (forall @t22 @t21)) % 128.38/128.62 (define @t24 () (_ @t19 @t8)) % 128.38/128.62 (define @t25 () (forall @t14 (=> @t12 @t24))) % 128.38/128.62 (define @t26 () (and @t25 @t23)) % 128.38/128.62 (define @t27 () (@list @t7)) % 128.38/128.62 (define @t28 () (exists @t27 @t26)) % 128.38/128.62 (define @t29 () (@var "Xy_53" tptp.a)) % 128.38/128.62 (define @t30 () (_ @t4 @t29)) % 128.38/128.62 (define @t31 () (@var "Xy" (-> tptp.a Bool))) % 128.38/128.62 (define @t32 () (_ @t31 @t6)) % 128.38/128.62 (define @t33 () (and @t32 @t10)) % 128.38/128.62 (define @t34 () (lambda @t14 @t33)) % 128.38/128.62 (define @t35 () (= @t34 @t30)) % 128.38/128.62 (define @t36 () (@list @t29)) % 128.38/128.62 (define @t37 () (exists @t36 @t35)) % 128.38/128.62 (define @t38 () (=> @t20 @t37)) % 128.38/128.62 (define @t39 () (forall @t22 @t38)) % 128.38/128.62 (define @t40 () (forall @t14 (=> @t32 @t24))) % 128.38/128.62 (define @t41 () (and @t40 @t39)) % 128.38/128.62 (define @t42 () (exists @t27 @t41)) % 128.38/128.62 (define @t43 () (@var "Xy_52" tptp.a)) % 128.38/128.62 (define @t44 () (_ @t4 @t43)) % 128.38/128.62 (define @t45 () (= @t15 @t44)) % 128.38/128.62 (define @t46 () (@list @t43)) % 128.38/128.62 (define @t47 () (exists @t46 @t45)) % 128.38/128.62 (define @t48 () (_ @t31 @t9)) % 128.38/128.62 (define @t49 () (=> @t48 @t47)) % 128.38/128.62 (define @t50 () (forall @t22 @t49)) % 128.38/128.62 (define @t51 () (_ @t31 @t8)) % 128.38/128.62 (define @t52 () (forall @t14 (=> @t12 @t51))) % 128.38/128.62 (define @t53 () (and @t52 @t50)) % 128.38/128.62 (define @t54 () (exists @t27 @t53)) % 128.38/128.62 (define @t55 () (and @t54 @t42)) % 128.38/128.62 (define @t56 () (=> @t55 @t28)) % 128.38/128.62 (define @t57 () (@list @t11 @t31 @t19)) % 128.38/128.62 (define @t58 () (forall @t57 @t56)) % 128.38/128.62 (define @t59 () (not @t58)) % 128.38/128.62 (define @t60 () (@var "BOUND_VARIABLE_7644" (-> tptp.a tptp.a))) % 128.38/128.62 (define @t61 () (_ @t60 @t6)) % 128.38/128.62 (define @t62 () (_ @t31 @t6)) % 128.38/128.62 (define @t63 () (@list @t2)) % 128.38/128.62 (define @t64 () (lambda @t63 (= @t2 @t29))) % 128.38/128.62 (define @t65 () (_ @t19 @t9)) % 128.38/128.62 (define @t66 () (not @t65)) % 128.38/128.62 (define @t67 () (not (forall @t22 (or @t66 (not (forall @t36 (not (= @t64 (lambda @t14 (and @t62 (= @t9 @t61))))))))))) % 128.38/128.62 (define @t68 () (not @t62)) % 128.38/128.62 (define @t69 () (not (forall @t14 (or @t68 (_ @t19 @t61))))) % 128.38/128.62 (define @t70 () (@var "BOUND_VARIABLE_7626" (-> tptp.a tptp.a))) % 128.38/128.62 (define @t71 () (_ @t70 @t6)) % 128.38/128.62 (define @t72 () (_ @t11 @t6)) % 128.38/128.62 (define @t73 () (lambda @t63 (= @t43 @t2))) % 128.38/128.62 (define @t74 () (_ @t31 @t9)) % 128.38/128.62 (define @t75 () (not @t74)) % 128.38/128.62 (define @t76 () (not (forall @t22 (or @t75 (not (forall @t46 (not (= @t73 (lambda @t14 (and @t72 (= @t9 @t71))))))))))) % 128.38/128.62 (define @t77 () (not @t72)) % 128.38/128.62 (define @t78 () (not (forall @t14 (or @t77 (_ @t31 @t71))))) % 128.38/128.62 (define @t79 () (lambda @t63 (= @t2 @t1))) % 128.38/128.62 (define @t80 () (_ @t7 @t6)) % 128.38/128.62 (define @t81 () (= @t9 @t80)) % 128.38/128.62 (define @t82 () (lambda @t14 (and @t72 @t81))) % 128.38/128.62 (define @t83 () (not (forall @t17 (not (= @t82 @t79))))) % 128.38/128.62 (define @t84 () (forall @t22 (or @t66 @t83))) % 128.38/128.62 (define @t85 () (_ @t19 @t80)) % 128.38/128.62 (define @t86 () (forall @t14 (or @t77 @t85))) % 128.38/128.62 (define @t87 () (not (forall @t27 (or (not @t86) (not @t84))))) % 128.38/128.62 (define @t88 () (or @t87 @t78 @t76 @t69 @t67)) % 128.38/128.62 (define @t89 () (or @t69 @t67)) % 128.38/128.62 (define @t90 () (or @t78 @t76)) % 128.38/128.62 (define @t91 () (or @t90 @t89 @t87)) % 128.38/128.62 (define @t92 () (@list @t11 @t31 @t19 @t70 @t60)) % 128.38/128.62 (define @t93 () (forall @t92 @t91)) % 128.38/128.62 (define @t94 () (forall (@list @t70 @t60) @t91)) % 128.38/128.62 (define @t95 () (forall (@list @t60) @t89)) % 128.38/128.62 (define @t96 () (@list @t7)) % 128.38/128.62 (define @t97 () (forall (@list @t70) @t90)) % 128.38/128.62 (define @t98 () (or @t97 @t95 @t87)) % 128.38/128.62 (define @t99 () (lambda @t14 (and @t62 @t81))) % 128.38/128.62 (define @t100 () (not (forall @t36 (not (= @t64 @t99))))) % 128.38/128.62 (define @t101 () (forall @t22 (or @t66 @t100))) % 128.38/128.62 (define @t102 () (forall @t14 (or @t68 @t85))) % 128.38/128.62 (define @t103 () (forall @t27 (or (not @t102) (not @t101)))) % 128.38/128.62 (define @t104 () (not (forall @t46 (not (= @t73 @t82))))) % 128.38/128.62 (define @t105 () (forall @t22 (or @t75 @t104))) % 128.38/128.62 (define @t106 () (_ @t31 @t80)) % 128.38/128.62 (define @t107 () (forall @t14 (or @t77 @t106))) % 128.38/128.62 (define @t108 () (forall @t27 (or (not @t107) (not @t105)))) % 128.38/128.62 (define @t109 () (or @t108 @t103 @t87)) % 128.38/128.62 (define @t110 () (not @t103)) % 128.38/128.62 (define @t111 () (not @t108)) % 128.38/128.62 (define @t112 () (and @t111 @t110)) % 128.38/128.62 (define @t113 () (and @t86 @t84)) % 128.38/128.62 (define @t114 () (forall @t27 (not @t113))) % 128.38/128.62 (define @t115 () (not @t114)) % 128.38/128.62 (define @t116 () (not @t20)) % 128.38/128.62 (define @t117 () (or @t116 @t83)) % 128.38/128.62 (define @t118 () (= @t80 @t9)) % 128.38/128.62 (define @t119 () (and @t72 @t118)) % 128.38/128.62 (define @t120 () (lambda @t14 @t119)) % 128.38/128.62 (define @t121 () (= @t120 @t79)) % 128.38/128.62 (define @t122 () (not @t121)) % 128.38/128.62 (define @t123 () (= @t8 @t9)) % 128.38/128.62 (define @t124 () (and @t12 @t123)) % 128.38/128.62 (define @t125 () (lambda @t14 @t124)) % 128.38/128.62 (define @t126 () (= @t125 @t79)) % 128.38/128.62 (define @t127 () (not @t126)) % 128.38/128.62 (define @t128 () (forall @t17 @t127)) % 128.38/128.62 (define @t129 () (not @t128)) % 128.38/128.62 (define @t130 () (lambda @t63 (= @t1 @t2))) % 128.38/128.62 (define @t131 () (not @t12)) % 128.38/128.62 (define @t132 () (or @t131 @t24)) % 128.38/128.62 (define @t133 () (and @t102 @t101)) % 128.38/128.62 (define @t134 () (forall @t27 (not @t133))) % 128.38/128.62 (define @t135 () (not @t134)) % 128.38/128.62 (define @t136 () (or @t116 @t100)) % 128.38/128.62 (define @t137 () (and @t62 @t118)) % 128.38/128.62 (define @t138 () (lambda @t14 @t137)) % 128.38/128.62 (define @t139 () (= @t138 @t64)) % 128.38/128.62 (define @t140 () (not @t139)) % 128.38/128.62 (define @t141 () (and @t32 @t123)) % 128.38/128.62 (define @t142 () (lambda @t14 @t141)) % 128.38/128.62 (define @t143 () (= @t142 @t64)) % 128.38/128.62 (define @t144 () (not @t143)) % 128.38/128.62 (define @t145 () (forall @t36 @t144)) % 128.38/128.62 (define @t146 () (not @t145)) % 128.38/128.62 (define @t147 () (lambda @t63 (= @t29 @t2))) % 128.38/128.62 (define @t148 () (not @t32)) % 128.38/128.62 (define @t149 () (or @t148 @t24)) % 128.38/128.62 (define @t150 () (and @t107 @t105)) % 128.38/128.62 (define @t151 () (forall @t27 (not @t150))) % 128.38/128.62 (define @t152 () (not @t151)) % 128.38/128.62 (define @t153 () (not @t48)) % 128.38/128.62 (define @t154 () (or @t153 @t104)) % 128.38/128.62 (define @t155 () (= @t120 @t73)) % 128.38/128.62 (define @t156 () (not @t155)) % 128.38/128.62 (define @t157 () (= @t125 @t73)) % 128.38/128.62 (define @t158 () (not @t157)) % 128.38/128.62 (define @t159 () (forall @t46 @t158)) % 128.38/128.62 (define @t160 () (not @t159)) % 128.38/128.62 (define @t161 () (or @t131 @t51)) % 128.38/128.62 (define @t162 () (forall @t92 @t88)) % 128.38/128.62 (define @t163 () (@quantifiers_skolemize @t162 4)) % 128.38/128.62 (define @t164 () (_ @t163 @t6)) % 128.38/128.62 (define @t165 () (@quantifiers_skolemize @t162 1)) % 128.38/128.62 (define @t166 () (_ @t165 @t6)) % 128.38/128.62 (define @t167 () (@quantifiers_skolemize @t162 2)) % 128.38/128.62 (define @t168 () (not (_ @t167 @t9))) % 128.38/128.62 (define @t169 () (forall @t22 (or @t168 (not (forall @t36 (not (= @t64 (lambda @t14 (and @t166 (= @t9 @t164)))))))))) % 128.38/128.62 (define @t170 () (not @t169)) % 128.38/128.62 (define @t171 () (forall @t14 (or (not @t166) (_ @t167 @t164)))) % 128.38/128.62 (define @t172 () (not @t171)) % 128.38/128.62 (define @t173 () (@quantifiers_skolemize @t162 3)) % 128.38/128.62 (define @t174 () (_ @t173 @t6)) % 128.38/128.62 (define @t175 () (@quantifiers_skolemize @t162 0)) % 128.38/128.62 (define @t176 () (_ @t175 @t6)) % 128.38/128.62 (define @t177 () (forall @t22 (or (not (_ @t165 @t9)) (not (forall @t46 (not (= @t73 (lambda @t14 (and @t176 (= @t9 @t174)))))))))) % 128.38/128.62 (define @t178 () (not @t177)) % 128.38/128.62 (define @t179 () (not @t176)) % 128.38/128.62 (define @t180 () (forall @t14 (or @t179 (_ @t165 @t174)))) % 128.38/128.62 (define @t181 () (not @t180)) % 128.38/128.62 (define @t182 () (lambda @t14 (and @t176 @t81))) % 128.38/128.62 (define @t183 () (not (forall @t14 (or @t179 (_ @t167 @t80))))) % 128.38/128.62 (define @t184 () (forall @t27 (or @t183 (not (forall @t22 (or @t168 (not (forall @t17 (not (= @t79 @t182)))))))))) % 128.38/128.62 (define @t185 () (not @t184)) % 128.38/128.62 (define @t186 () (or @t185 @t181 @t178 @t172 @t170)) % 128.38/128.62 (define @t187 () (not @t186)) % 128.38/128.62 (define @t188 () (not @t162)) % 128.38/128.62 (define @t189 () (not (= @t182 @t79))) % 128.38/128.62 (define @t190 () (forall @t17 @t189)) % 128.38/128.62 (define @t191 () (not @t190)) % 128.38/128.62 (define @t192 () (or @t168 @t191)) % 128.38/128.62 (define @t193 () (forall @t22 @t192)) % 128.38/128.62 (define @t194 () (not @t193)) % 128.38/128.62 (define @t195 () (or @t183 @t194)) % 128.38/128.62 (define @t196 () (forall @t27 @t195)) % 128.38/128.62 (define @t197 () (not @t196)) % 128.38/128.62 (define @t198 () (or @t197 @t181 @t178 @t172 @t170)) % 128.38/128.62 (define @t199 () (not @t198)) % 128.38/128.62 (define @t200 () (@list true)) % 128.38/128.62 (define @t201 () (@list @t186)) % 128.38/128.62 (define @t202 () (_ @t163 @t174)) % 128.38/128.62 (define @t203 () (@var "BOUND_VARIABLE_15051" tptp.a)) % 128.38/128.62 (define @t204 () (lambda (@list @t203) (_ @t163 (_ @t173 @t203)))) % 128.38/128.62 (define @t205 () (_ @t204 @t6)) % 128.38/128.62 (define @t206 () (= @t9 @t205)) % 128.38/128.62 (define @t207 () (and @t176 @t206)) % 128.38/128.62 (define @t208 () (lambda @t14 @t207)) % 128.38/128.62 (define @t209 () (= @t79 @t208)) % 128.38/128.62 (define @t210 () (not @t209)) % 128.38/128.62 (define @t211 () (forall @t17 @t210)) % 128.38/128.62 (define @t212 () (not @t211)) % 128.38/128.62 (define @t213 () (or @t168 @t212)) % 128.38/128.62 (define @t214 () (forall @t22 @t213)) % 128.38/128.62 (define @t215 () (not @t214)) % 128.38/128.62 (define @t216 () (_ @t167 @t205)) % 128.38/128.62 (define @t217 () (or @t179 @t216)) % 128.38/128.62 (define @t218 () (forall @t14 @t217)) % 128.38/128.62 (define @t219 () (not @t218)) % 128.38/128.62 (define @t220 () (or @t219 @t215)) % 128.38/128.62 (define @t221 () (forall @t22 (or @t168 (not (forall @t17 (not (= @t79 (lambda @t14 (and @t176 (= @t9 @t202)))))))))) % 128.38/128.62 (define @t222 () (not @t221)) % 128.38/128.62 (define @t223 () (forall @t14 (or @t179 (_ @t167 @t202)))) % 128.38/128.62 (define @t224 () (not @t223)) % 128.38/128.62 (define @t225 () (or @t224 @t222)) % 128.38/128.62 (define @t226 () (@list false)) % 128.38/128.62 (define @t227 () (@quantifiers_skolemize @t223 0)) % 128.38/128.62 (define @t228 () (_ @t175 @t227)) % 128.38/128.62 (define @t229 () (_ @t173 @t227)) % 128.38/128.62 (define @t230 () (_ @t167 (_ @t163 @t229))) % 128.38/128.62 (define @t231 () (not @t228)) % 128.38/128.62 (define @t232 () (or @t231 @t230)) % 128.38/128.62 (define @t233 () (_ @t165 @t229)) % 128.38/128.62 (define @t234 () (or @t231 @t233)) % 128.38/128.62 (define @t235 () (not @t233)) % 128.38/128.62 (define @t236 () (or @t235 @t230)) % 128.38/128.62 (define @t237 () (not @t232)) % 128.38/128.62 (define @t238 () (@list false false)) % 128.38/128.62 (define @t239 () (@quantifiers_skolemize @t221 0)) % 128.38/128.62 (define @t240 () (lambda @t14 (and @t176 (= @t202 @t239)))) % 128.38/128.62 (define @t241 () (forall @t17 (not (= @t79 @t240)))) % 128.38/128.62 (define @t242 () (not @t241)) % 128.38/128.62 (define @t243 () (_ @t167 @t239)) % 128.38/128.62 (define @t244 () (not @t243)) % 128.38/128.62 (define @t245 () (or @t244 @t242)) % 128.38/128.62 (define @t246 () (not @t245)) % 128.38/128.62 (define @t247 () (and @t176 (= @t239 @t202))) % 128.38/128.62 (define @t248 () (lambda @t14 @t247)) % 128.38/128.62 (define @t249 () (= @t79 @t248)) % 128.38/128.62 (define @t250 () (not @t249)) % 128.38/128.62 (define @t251 () (forall @t17 @t250)) % 128.38/128.62 (define @t252 () (not @t251)) % 128.38/128.62 (define @t253 () (or @t244 @t252)) % 128.38/128.62 (define @t254 () (not @t253)) % 128.38/128.62 (define @t255 () (@list @t245)) % 128.38/128.62 (define @t256 () (lambda @t14 (and @t166 (= @t164 @t239)))) % 128.38/128.62 (define @t257 () (forall @t36 (not (= @t64 @t256)))) % 128.38/128.62 (define @t258 () (@quantifiers_skolemize @t257 0)) % 128.38/128.62 (define @t259 () (lambda @t14 (and @t176 (= @t174 @t258)))) % 128.38/128.62 (define @t260 () (forall @t46 (not (= @t73 @t259)))) % 128.38/128.62 (define @t261 () (@quantifiers_skolemize @t260 0)) % 128.38/128.62 (define @t262 () (= @t2 @t261)) % 128.38/128.62 (define @t263 () (lambda @t63 @t262)) % 128.38/128.62 (define @t264 () (@purify @t263)) % 128.38/128.62 (define @t265 () (@purify @t240)) % 128.38/128.62 (define @t266 () (= @t240 @t263)) % 128.38/128.62 (define @t267 () (not @t266)) % 128.38/128.62 (define @t268 () (not (= @t263 @t240))) % 128.38/128.62 (define @t269 () (@list @t261)) % 128.38/128.62 (define @t270 () (= @t265 @t264)) % 128.38/128.62 (define @t271 () (@const 0 tptp.a)) % 128.38/128.62 (define @t272 () (_ @t173 @t271)) % 128.38/128.62 (define @t273 () (_ @t163 @t272)) % 128.38/128.62 (define @t274 () (= @t239 @t273)) % 128.38/128.62 (define @t275 () (_ @t175 @t271)) % 128.38/128.62 (define @t276 () (and @t275 @t274)) % 128.38/128.62 (define @t277 () (= @t261 @t271)) % 128.38/128.62 (define @t278 () (= @t271 @t261)) % 128.38/128.62 (define @t279 () (_ @t263 @t271)) % 128.38/128.62 (define @t280 () (_ @t264 @t271)) % 128.38/128.62 (define @t281 () (= @t273 @t239)) % 128.38/128.62 (define @t282 () (and @t275 @t281)) % 128.38/128.62 (define @t283 () (_ @t240 @t271)) % 128.38/128.62 (define @t284 () (_ @t265 @t271)) % 128.38/128.62 (define @t285 () (= @t284 @t280)) % 128.38/128.62 (define @t286 () (not @t285)) % 128.38/128.62 (define @t287 () (or @t270 @t286)) % 128.38/128.62 (define @t288 () (= @t277 @t276)) % 128.38/128.62 (define @t289 () (and @t176 (= @t258 @t174))) % 128.38/128.62 (define @t290 () (lambda @t14 @t289)) % 128.38/128.62 (define @t291 () (= @t73 @t290)) % 128.38/128.62 (define @t292 () (not @t291)) % 128.38/128.62 (define @t293 () (forall @t46 @t292)) % 128.38/128.62 (define @t294 () (not @t293)) % 128.38/128.62 (define @t295 () (_ @t165 @t258)) % 128.38/128.62 (define @t296 () (not @t295)) % 128.38/128.62 (define @t297 () (or @t296 @t294)) % 128.38/128.62 (define @t298 () (@list @t258)) % 128.38/128.62 (define @t299 () (not @t260)) % 128.38/128.62 (define @t300 () (or @t296 @t299)) % 128.38/128.62 (define @t301 () (and @t166 (= @t239 @t164))) % 128.38/128.62 (define @t302 () (lambda @t14 @t301)) % 128.38/128.62 (define @t303 () (= @t64 @t302)) % 128.38/128.62 (define @t304 () (not @t303)) % 128.38/128.62 (define @t305 () (forall @t36 @t304)) % 128.38/128.62 (define @t306 () (not @t305)) % 128.38/128.62 (define @t307 () (or @t244 @t306)) % 128.38/128.62 (define @t308 () (not @t257)) % 128.38/128.62 (define @t309 () (or @t244 @t308)) % 128.38/128.62 (define @t310 () (@purify @t256)) % 128.38/128.62 (define @t311 () (= @t2 @t258)) % 128.38/128.62 (define @t312 () (lambda @t63 @t311)) % 128.38/128.62 (define @t313 () (@purify @t312)) % 128.38/128.62 (define @t314 () (= @t313 @t310)) % 128.38/128.62 (define @t315 () (= @t256 @t312)) % 128.38/128.62 (define @t316 () (= @t312 @t256)) % 128.38/128.62 (define @t317 () (not (not @t316))) % 128.38/128.62 (define @t318 () (forall @t63 (= @t311 (and (_ @t165 @t2) (= (_ @t163 @t2) @t239))))) % 128.38/128.62 (define @t319 () (_ @t163 @t258)) % 128.38/128.62 (define @t320 () (= @t239 @t319)) % 128.38/128.62 (define @t321 () (and @t295 @t320)) % 128.38/128.62 (define @t322 () (and @t295 (= @t319 @t239))) % 128.38/128.62 (define @t323 () (= (= @t258 @t258) @t322)) % 128.38/128.62 (define @t324 () (@list @t318)) % 128.38/128.62 (define @t325 () (not @t321)) % 128.38/128.62 (define @t326 () (@list @t321)) % 128.38/128.62 (define @t327 () (@purify @t259)) % 128.38/128.62 (define @t328 () (= @t264 @t327)) % 128.38/128.62 (define @t329 () (= @t259 @t263)) % 128.38/128.62 (define @t330 () (lambda @t63 (= @t261 @t2))) % 128.38/128.62 (define @t331 () (= @t330 @t259)) % 128.38/128.62 (define @t332 () (not (not @t331))) % 128.38/128.62 (define @t333 () (forall @t63 (= @t262 (and (_ @t175 @t2) (= (_ @t173 @t2) @t258))))) % 128.38/128.62 (define @t334 () (_ @t173 @t261)) % 128.38/128.62 (define @t335 () (= @t258 @t334)) % 128.38/128.62 (define @t336 () (_ @t175 @t261)) % 128.38/128.62 (define @t337 () (and @t336 @t335)) % 128.38/128.62 (define @t338 () (and @t336 (= @t334 @t258))) % 128.38/128.62 (define @t339 () (= (= @t261 @t261) @t338)) % 128.38/128.62 (define @t340 () (@list @t333)) % 128.38/128.62 (define @t341 () (not @t337)) % 128.38/128.62 (define @t342 () (@list @t337)) % 128.38/128.62 (define @t343 () (and @t336 @t277)) % 128.38/128.62 (define @t344 () (not @t277)) % 128.38/128.62 (define @t345 () (and @t320 @t335 @t277)) % 128.38/128.62 (define @t346 () (not @t276)) % 128.38/128.62 (define @t347 () (@list @t276)) % 128.38/128.62 (define @t348 () (_ @t165 @t272)) % 128.38/128.62 (define @t349 () (and @t348 @t281)) % 128.38/128.62 (define @t350 () (= @t272 @t258)) % 128.38/128.62 (define @t351 () (= @t350 @t349)) % 128.38/128.62 (define @t352 () (and @t348 @t274)) % 128.38/128.62 (define @t353 () (= @t258 @t272)) % 128.38/128.62 (define @t354 () (= @t353 @t352)) % 128.38/128.62 (define @t355 () (and @t275 @t350)) % 128.38/128.62 (define @t356 () (= @t278 @t355)) % 128.38/128.62 (define @t357 () (@list @t271)) % 128.38/128.62 (define @t358 () (and @t275 @t353)) % 128.38/128.62 (define @t359 () (= @t277 @t358)) % 128.38/128.62 (define @t360 () (not @t358)) % 128.38/128.62 (define @t361 () (@list true false)) % 128.38/128.62 (define @t362 () (not @t353)) % 128.38/128.62 (define @t363 () (not @t275)) % 128.38/128.62 (define @t364 () (not @t352)) % 128.38/128.62 (define @t365 () (or @t363 @t348)) % 128.38/128.62 (assume @p1 @t59) % 128.38/128.62 (assume @p2 true) % 128.38/128.62 (step @p3 :rule aci_norm :args ((= @t91 @t88))) % 128.38/128.62 (step @p4 :rule cong :premises (@p3) :args (@t93)) % 128.38/128.62 (step @p5 :rule quant-merge-prenex :args ((= (forall @t57 @t94) @t93))) % 128.38/128.62 (step @p6 :rule refl :args (@t87)) % 128.38/128.62 (step @p7 :rule alpha_equiv :args (@t95 (@list @t60) @t96)) % 128.38/128.62 (step @p8 :rule alpha_equiv :args (@t97 (@list @t70) @t96)) % 128.38/128.62 (step @p9 :rule nary_cong :premises (@p8 @p7 @p6) :args (@t98)) % 128.38/128.62 (step @p10 :rule quant-miniscope-or :args ((= @t94 @t98))) % 128.38/128.62 (step @p11 :rule trans :premises (@p10 @p9)) % 128.38/128.62 (step @p12 :rule symm :premises (@p11)) % 128.38/128.62 (step @p13 :rule cong :premises (@p12) :args ((forall @t57 @t109))) % 128.38/128.62 (step @p14 :rule trans :premises (@p13 @p5)) % 128.38/128.62 (step @p15 :rule trans :premises (@p14 @p4)) % 128.38/128.62 (step @p16 :rule aci_norm :args ((= (or (or @t108 @t103) @t87) @t109))) % 128.38/128.62 (step @p17 :rule bool-double-not-elim :args (@t103)) % 128.38/128.62 (step @p18 :rule bool-double-not-elim :args (@t108)) % 128.38/128.62 (step @p19 :rule nary_cong :premises (@p18 @p17) :args ((or (not @t111) (not @t110)))) % 128.38/128.62 (step @p20 :rule bool-and-de-morgan :args (@t111 @t110 true)) % 128.38/128.62 (step @p21 :rule trans :premises (@p20 @p19)) % 128.38/128.62 (step @p22 :rule nary_cong :premises (@p21 @p6) :args ((or (not @t112) @t87))) % 128.38/128.62 (step @p23 :rule trans :premises (@p22 @p16)) % 128.38/128.62 (step @p24 :rule bool-impl-elim :args (@t112 @t87)) % 128.38/128.62 (step @p25 :rule trans :premises (@p24 @p23)) % 128.38/128.62 (step @p26 :rule cong :premises (@p25) :args ((forall @t57 (=> @t112 @t87)))) % 128.38/128.62 (step @p27 :rule trans :premises (@p26 @p15)) % 128.38/128.62 (step @p28 :rule bool-and-de-morgan :args (@t86 @t84 true)) % 128.38/128.62 (step @p29 :rule cong :premises (@p28) :args (@t114)) % 128.38/128.62 (step @p30 :rule cong :premises (@p29) :args (@t115)) % 128.38/128.62 (step @p31 :rule exists-elim :args ((= (exists @t27 @t113) @t115))) % 128.38/128.62 (step @p32 :rule trans :premises (@p31 @p30)) % 128.38/128.62 (step @p33 :rule refl :args (@t83)) % 128.38/128.62 (step @p34 :rule refl :args (@t65)) % 128.38/128.62 (step @p35 :rule refl :args (@t20)) % 128.38/128.62 (step @p36 :rule cong :premises (@p35 @p34) :args ((= @t20 @t65))) % 128.38/128.62 (step @p37 :rule symm :premises (@p36)) % 128.38/128.62 (step @p38 :rule eq_resolve :premises (@p35 @p37)) % 128.38/128.62 (step @p39 :rule cong :premises (@p38) :args (@t116)) % 128.38/128.62 (step @p40 :rule nary_cong :premises (@p39 @p33) :args (@t117)) % 128.38/128.62 (step @p41 :rule cong :premises (@p40) :args ((forall @t22 @t117))) % 128.38/128.62 (step @p42 :rule bool-impl-elim :args (@t20 @t83)) % 128.38/128.62 (step @p43 :rule cong :premises (@p42) :args ((forall @t22 (=> @t20 @t83)))) % 128.38/128.62 (step @p44 :rule trans :premises (@p43 @p41)) % 128.38/128.62 (step @p45 :rule refl :args (@t79)) % 128.38/128.62 (step @p46 :rule eq-symm :args (@t80 @t9)) % 128.38/128.62 (step @p47 :rule refl :args (@t72)) % 128.38/128.62 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t119)) % 128.38/128.62 (step @p49 :rule cong :premises (@p48) :args (@t120)) % 128.38/128.62 (step @p50 :rule cong :premises (@p49 @p45) :args (@t121)) % 128.38/128.62 (step @p51 :rule cong :premises (@p50) :args (@t122)) % 128.38/128.62 (step @p52 :rule cong :premises (@p51) :args ((forall @t17 @t122))) % 128.38/128.62 (step @p53 :rule refl :args (@t79)) % 128.38/128.62 (step @p54 :rule refl :args (@t9)) % 128.38/128.62 (step @p55 :rule refl :args (@t80)) % 128.38/128.62 (step @p56 :rule refl :args (@t8)) % 128.38/128.62 (step @p57 :rule cong :premises (@p56 @p55) :args ((= @t8 @t80))) % 128.38/128.62 (step @p58 :rule symm :premises (@p57)) % 128.38/128.62 (step @p59 :rule eq_resolve :premises (@p56 @p58)) % 128.38/128.62 (step @p60 :rule cong :premises (@p59 @p54) :args (@t123)) % 128.38/128.62 (step @p61 :rule refl :args (@t72)) % 128.38/128.62 (step @p62 :rule refl :args (@t12)) % 128.38/128.62 (step @p63 :rule cong :premises (@p62 @p61) :args ((= @t12 @t72))) % 128.38/128.62 (step @p64 :rule symm :premises (@p63)) % 128.38/128.62 (step @p65 :rule eq_resolve :premises (@p62 @p64)) % 128.38/128.62 (step @p66 :rule nary_cong :premises (@p65 @p60) :args (@t124)) % 128.38/128.62 (step @p67 :rule cong :premises (@p66) :args (@t125)) % 128.38/128.62 (step @p68 :rule cong :premises (@p67 @p53) :args (@t126)) % 128.38/128.62 (step @p69 :rule cong :premises (@p68) :args (@t127)) % 128.38/128.62 (step @p70 :rule cong :premises (@p69) :args (@t128)) % 128.38/128.62 (step @p71 :rule trans :premises (@p70 @p52)) % 128.38/128.62 (step @p72 :rule cong :premises (@p71) :args (@t129)) % 128.38/128.62 (step @p73 :rule exists-elim :args ((= (exists @t17 @t126) @t129))) % 128.38/128.62 (step @p74 :rule trans :premises (@p73 @p72)) % 128.38/128.62 (step @p75 :rule eq-symm :args (@t1 @t2)) % 128.38/128.62 (step @p76 :rule cong :premises (@p75) :args (@t130)) % 128.38/128.62 (step @p77 :rule beta-reduce :args ((= @t5 @t130))) % 128.38/128.62 (step @p78 :rule trans :premises (@p77 @p76)) % 128.38/128.62 (step @p79 :rule eq-symm :args (@t9 @t8)) % 128.38/128.62 (step @p80 :rule refl :args (@t12)) % 128.38/128.62 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t13)) % 128.38/128.62 (step @p82 :rule cong :premises (@p81) :args (@t15)) % 128.38/128.62 (step @p83 :rule cong :premises (@p82 @p78) :args (@t16)) % 128.38/128.62 (step @p84 :rule cong :premises (@p83) :args (@t18)) % 128.38/128.62 (step @p85 :rule trans :premises (@p84 @p74)) % 128.38/128.62 (step @p86 :rule refl :args (@t20)) % 128.38/128.62 (step @p87 :rule cong :premises (@p86 @p85) :args (@t21)) % 128.38/128.62 (step @p88 :rule cong :premises (@p87) :args (@t23)) % 128.38/128.62 (step @p89 :rule trans :premises (@p88 @p44)) % 128.38/128.62 (step @p90 :rule refl :args ((_ @t19 @t8))) % 128.38/128.62 (step @p91 :rule cong :premises (@p55) :args (@t85)) % 128.38/128.62 (step @p92 :rule trans :premises (@p91 @p90)) % 128.38/128.62 (step @p93 :rule refl :args (@t19)) % 128.38/128.62 (step @p94 :rule ho_cong :premises (@p93 @p55)) % 128.38/128.62 (step @p95 :rule cong :premises (@p94 @p92) :args ((= (_ @t19 @t80) @t85))) % 128.38/128.62 (step @p96 :rule symm :premises (@p95)) % 128.38/128.62 (step @p97 :rule refl :args (@t24)) % 128.38/128.62 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 128.38/128.62 (step @p99 :rule ho_cong :premises (@p93 @p59)) % 128.38/128.62 (step @p100 :rule trans :premises (@p99 @p98)) % 128.38/128.62 (step @p101 :rule cong :premises (@p65) :args (@t131)) % 128.38/128.62 (step @p102 :rule nary_cong :premises (@p101 @p100) :args (@t132)) % 128.38/128.62 (step @p103 :rule cong :premises (@p102) :args ((forall @t14 @t132))) % 128.38/128.62 (step @p104 :rule bool-impl-elim :args (@t12 @t24)) % 128.38/128.62 (step @p105 :rule cong :premises (@p104) :args (@t25)) % 128.38/128.62 (step @p106 :rule trans :premises (@p105 @p103)) % 128.38/128.62 (step @p107 :rule nary_cong :premises (@p106 @p89) :args (@t26)) % 128.38/128.62 (step @p108 :rule cong :premises (@p107) :args (@t28)) % 128.38/128.62 (step @p109 :rule trans :premises (@p108 @p32)) % 128.38/128.62 (step @p110 :rule bool-and-de-morgan :args (@t102 @t101 true)) % 128.38/128.62 (step @p111 :rule cong :premises (@p110) :args (@t134)) % 128.38/128.62 (step @p112 :rule cong :premises (@p111) :args (@t135)) % 128.38/128.62 (step @p113 :rule exists-elim :args ((= (exists @t27 @t133) @t135))) % 128.38/128.62 (step @p114 :rule trans :premises (@p113 @p112)) % 128.38/128.62 (step @p115 :rule refl :args (@t100)) % 128.38/128.62 (step @p116 :rule nary_cong :premises (@p39 @p115) :args (@t136)) % 128.38/128.62 (step @p117 :rule cong :premises (@p116) :args ((forall @t22 @t136))) % 128.38/128.62 (step @p118 :rule bool-impl-elim :args (@t20 @t100)) % 128.38/128.62 (step @p119 :rule cong :premises (@p118) :args ((forall @t22 (=> @t20 @t100)))) % 128.38/128.62 (step @p120 :rule trans :premises (@p119 @p117)) % 128.38/128.62 (step @p121 :rule eq-symm :args (@t99 @t64)) % 128.38/128.62 (step @p122 :rule refl :args (@t64)) % 128.38/128.62 (step @p123 :rule refl :args (@t62)) % 128.38/128.62 (step @p124 :rule nary_cong :premises (@p123 @p46) :args (@t137)) % 128.38/128.62 (step @p125 :rule cong :premises (@p124) :args (@t138)) % 128.38/128.62 (step @p126 :rule cong :premises (@p125 @p122) :args (@t139)) % 128.38/128.62 (step @p127 :rule trans :premises (@p126 @p121)) % 128.38/128.62 (step @p128 :rule cong :premises (@p127) :args (@t140)) % 128.38/128.62 (step @p129 :rule cong :premises (@p128) :args ((forall @t36 @t140))) % 128.38/128.62 (step @p130 :rule refl :args (@t64)) % 128.38/128.62 (step @p131 :rule refl :args (@t62)) % 128.38/128.62 (step @p132 :rule refl :args (@t32)) % 128.38/128.62 (step @p133 :rule cong :premises (@p132 @p131) :args ((= @t32 @t62))) % 128.38/128.62 (step @p134 :rule symm :premises (@p133)) % 128.38/128.62 (step @p135 :rule eq_resolve :premises (@p132 @p134)) % 128.38/128.62 (step @p136 :rule nary_cong :premises (@p135 @p60) :args (@t141)) % 128.38/128.62 (step @p137 :rule cong :premises (@p136) :args (@t142)) % 128.38/128.62 (step @p138 :rule cong :premises (@p137 @p130) :args (@t143)) % 128.38/128.62 (step @p139 :rule cong :premises (@p138) :args (@t144)) % 128.38/128.62 (step @p140 :rule cong :premises (@p139) :args (@t145)) % 128.38/128.62 (step @p141 :rule trans :premises (@p140 @p129)) % 128.38/128.62 (step @p142 :rule cong :premises (@p141) :args (@t146)) % 128.38/128.62 (step @p143 :rule exists-elim :args ((= (exists @t36 @t143) @t146))) % 128.38/128.62 (step @p144 :rule trans :premises (@p143 @p142)) % 128.38/128.62 (step @p145 :rule eq-symm :args (@t29 @t2)) % 128.38/128.62 (step @p146 :rule cong :premises (@p145) :args (@t147)) % 128.38/128.62 (step @p147 :rule beta-reduce :args ((= @t30 @t147))) % 128.38/128.62 (step @p148 :rule trans :premises (@p147 @p146)) % 128.38/128.62 (step @p149 :rule refl :args (@t32)) % 128.38/128.62 (step @p150 :rule nary_cong :premises (@p149 @p79) :args (@t33)) % 128.38/128.62 (step @p151 :rule cong :premises (@p150) :args (@t34)) % 128.38/128.62 (step @p152 :rule cong :premises (@p151 @p148) :args (@t35)) % 128.38/128.62 (step @p153 :rule cong :premises (@p152) :args (@t37)) % 128.38/128.62 (step @p154 :rule trans :premises (@p153 @p144)) % 128.38/128.62 (step @p155 :rule cong :premises (@p86 @p154) :args (@t38)) % 128.38/128.62 (step @p156 :rule cong :premises (@p155) :args (@t39)) % 128.38/128.62 (step @p157 :rule trans :premises (@p156 @p120)) % 128.38/128.62 (step @p158 :rule cong :premises (@p135) :args (@t148)) % 128.38/128.62 (step @p159 :rule nary_cong :premises (@p158 @p100) :args (@t149)) % 128.38/128.62 (step @p160 :rule cong :premises (@p159) :args ((forall @t14 @t149))) % 128.38/128.62 (step @p161 :rule bool-impl-elim :args (@t32 @t24)) % 128.38/128.62 (step @p162 :rule cong :premises (@p161) :args (@t40)) % 128.38/128.62 (step @p163 :rule trans :premises (@p162 @p160)) % 128.38/128.62 (step @p164 :rule nary_cong :premises (@p163 @p157) :args (@t41)) % 128.38/128.62 (step @p165 :rule cong :premises (@p164) :args (@t42)) % 128.38/128.62 (step @p166 :rule trans :premises (@p165 @p114)) % 128.38/128.62 (step @p167 :rule bool-and-de-morgan :args (@t107 @t105 true)) % 128.38/128.62 (step @p168 :rule cong :premises (@p167) :args (@t151)) % 128.38/128.62 (step @p169 :rule cong :premises (@p168) :args (@t152)) % 128.38/128.62 (step @p170 :rule exists-elim :args ((= (exists @t27 @t150) @t152))) % 128.38/128.62 (step @p171 :rule trans :premises (@p170 @p169)) % 128.38/128.62 (step @p172 :rule refl :args 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@p377 :rule true_elim :premises (@p376)) % 128.38/128.62 (step @p378 :rule cong :premises (@p377 @p371) :args (@t266)) % 128.38/128.62 (step @p379 :rule cong :premises (@p378) :args (@t267)) % 128.38/128.62 (step @p380 :rule refl :args (@t241)) % 128.38/128.62 (step @p381 :rule cong :premises (@p380 @p379) :args ((=> @t241 @t267))) % 128.38/128.62 (step @p382 :rule eq-symm :args (@t263 @t240)) % 128.38/128.62 (step @p383 :rule cong :premises (@p382) :args (@t268)) % 128.38/128.62 (step @p384 :rule cong :premises (@p380 @p383) :args ((=> @t241 @t268))) % 128.38/128.62 (assume-push @p708 @t241) % 128.38/128.62 (step @p386 :rule instantiate :premises (@p708) :args (@t269)) % 128.38/128.62 (step-pop @p709 :rule scope :premises (@p386)) % 128.38/128.62 (step @p387 :rule process_scope :premises (@p709) :args (@t268)) % 128.38/128.62 (step @p389 :rule eq_resolve :premises (@p387 @p384)) % 128.38/128.62 (step @p390 :rule eq_resolve :premises (@p389 @p381)) % 128.38/128.62 (step @p391 :rule implies_elim :premises (@p390)) % 128.38/128.62 (step @p392 :rule chain_m_resolution :premises (@p391 @p365) :args ((not @t270) @t226 (@list @t241))) % 128.38/128.62 (step @p393 :rule eq-symm :args (@t276 @t277)) % 128.38/128.62 (step @p394 :rule eq-refl :args (@t277)) % 128.38/128.62 (step @p395 :rule refl :args (@t277)) % 128.38/128.62 (step @p396 :rule eq-symm :args (@t271 @t261)) % 128.38/128.62 (step @p397 :rule beta-reduce :args ((= @t279 @t278))) % 128.38/128.62 (step @p398 :rule trans :premises (@p397 @p396)) % 128.38/128.62 (step @p399 :rule cong :premises (@p398 @p395) :args ((= @t279 @t277))) % 128.38/128.62 (step @p400 :rule trans :premises (@p399 @p394)) % 128.38/128.62 (step @p401 :rule refl :args (@t271)) % 128.38/128.62 (step @p402 :rule ho_cong :premises (@p367 @p401)) % 128.38/128.62 (step @p403 :rule cong :premises (@p402 @p395) :args ((= @t280 @t277))) % 128.38/128.62 (step @p404 :rule trans :premises (@p403 @p400)) % 128.38/128.62 (step @p405 :rule true_elim :premises (@p404)) % 128.38/128.62 (step @p406 :rule eq-refl :args (@t276)) % 128.38/128.62 (step @p407 :rule refl :args (@t276)) % 128.38/128.62 (step @p408 :rule eq-symm :args (@t273 @t239)) % 128.38/128.62 (step @p409 :rule refl :args (@t275)) % 128.38/128.62 (step @p410 :rule nary_cong :premises (@p409 @p408) :args (@t282)) % 128.38/128.62 (step @p411 :rule beta-reduce :args ((= @t283 @t282))) % 128.38/128.62 (step @p412 :rule trans :premises (@p411 @p410)) % 128.38/128.62 (step @p413 :rule cong :premises (@p412 @p407) :args ((= @t283 @t276))) % 128.38/128.62 (step @p414 :rule trans :premises (@p413 @p406)) % 128.38/128.62 (step @p415 :rule ho_cong :premises (@p373 @p401)) % 128.38/128.62 (step @p416 :rule cong :premises (@p415 @p407) :args ((= @t284 @t276))) % 128.38/128.62 (step @p417 :rule trans :premises (@p416 @p414)) % 128.38/128.62 (step @p418 :rule true_elim :premises (@p417)) % 128.38/128.62 (step @p419 :rule cong :premises (@p418 @p405) :args (@t285)) % 128.38/128.62 (step @p420 :rule trans :premises (@p419 @p393)) % 128.38/128.62 (step @p421 :rule cong :premises (@p420) :args (@t286)) % 128.38/128.62 (step @p422 :rule refl :args (@t270)) % 128.38/128.62 (step @p423 :rule nary_cong :premises (@p422 @p421) :args (@t287)) % 128.38/128.62 ; WARNING: add trust step for TRUST % 128.38/128.62 ; trust TRUST THEORY_LEMMA % 128.38/128.62 (step @p424 :rule trust :premises () :args (@t287)) % 128.38/128.62 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 128.38/128.62 (step @p426 :rule chain_m_resolution :premises (@p425 @p392) :args ((not @t288) @t200 (@list @t270))) % 128.38/128.62 (step @p427 :rule cnf_equiv_neg2 :args (@t288)) % 128.38/128.62 (step @p428 :rule bool-double-not-elim :args (@t177)) % 128.38/128.62 (step @p429 :rule nary_cong :premises (@p263 @p428) :args ((or @t186 (not @t178)))) % 128.38/128.62 (step @p430 :rule cnf_or_neg :args (@t186 2)) % 128.38/128.62 (step @p431 :rule eq_resolve :premises (@p430 @p429)) % 128.38/128.62 (step @p432 :rule reordering :premises (@p431) :args ((or @t177 @t186))) % 128.38/128.62 (step @p433 :rule chain_m_resolution :premises (@p432 @p261) :args (@t177 @t200 @t201)) % 128.38/128.62 (step @p434 :rule eq-symm :args (@t258 @t174)) % 128.38/128.62 (step @p435 :rule nary_cong :premises (@p272 @p434) :args (@t289)) % 128.38/128.62 (step @p436 :rule cong :premises (@p435) :args (@t290)) % 128.38/128.62 (step @p437 :rule cong :premises (@p185 @p436) :args (@t291)) % 128.38/128.62 (step @p438 :rule cong :premises (@p437) :args (@t292)) % 128.38/128.62 (step @p439 :rule cong :premises (@p438) :args (@t293)) % 128.38/128.62 (step @p440 :rule cong :premises (@p439) :args (@t294)) % 128.38/128.62 (step @p441 :rule refl :args (@t296)) % 128.38/128.62 (step @p442 :rule nary_cong :premises (@p441 @p440) :args (@t297)) % 128.38/128.62 (step @p443 :rule refl :args (@t177)) % 128.38/128.62 (step @p444 :rule cong :premises (@p443 @p442) :args ((=> @t177 @t297))) % 128.38/128.62 (assume-push @p710 @t177) % 128.38/128.62 (step @p446 :rule instantiate :premises (@p433) :args (@t298)) % 128.38/128.62 (step-pop @p711 :rule scope :premises (@p446)) % 128.38/128.62 (step @p447 :rule process_scope :premises (@p711) :args (@t297)) % 128.38/128.62 (step @p449 :rule eq_resolve :premises (@p447 @p444)) % 128.38/128.62 (step @p450 :rule implies_elim :premises (@p449)) % 128.38/128.62 (step @p451 :rule chain_m_resolution :premises (@p450 @p433) :args (@t300 @t226 (@list @t177))) % 128.38/128.62 (step @p452 :rule bool-double-not-elim :args (@t169)) % 128.38/128.62 (step @p453 :rule nary_cong :premises (@p263 @p452) :args ((or @t186 (not @t170)))) % 128.38/128.62 (step @p454 :rule cnf_or_neg :args (@t186 4)) % 128.38/128.62 (step @p455 :rule eq_resolve :premises (@p454 @p453)) % 128.38/128.62 (step @p456 :rule reordering :premises (@p455) :args ((or @t169 @t186))) % 128.38/128.62 (step @p457 :rule chain_m_resolution :premises (@p456 @p261) :args (@t169 @t200 @t201)) % 128.38/128.62 (step @p458 :rule eq-symm :args (@t239 @t164)) % 128.38/128.62 (step @p459 :rule refl :args (@t166)) % 128.38/128.62 (step @p460 :rule nary_cong :premises (@p459 @p458) :args (@t301)) % 128.38/128.62 (step @p461 :rule cong :premises (@p460) :args (@t302)) % 128.38/128.62 (step @p462 :rule cong :premises (@p122 @p461) :args (@t303)) % 128.38/128.62 (step @p463 :rule cong :premises (@p462) :args (@t304)) % 128.38/128.62 (step @p464 :rule cong :premises (@p463) :args (@t305)) % 128.38/128.62 (step @p465 :rule cong :premises (@p464) :args (@t306)) % 128.38/128.62 (step @p466 :rule nary_cong :premises (@p346 @p465) :args (@t307)) % 128.38/128.62 (step @p467 :rule refl :args (@t169)) % 128.38/128.62 (step @p468 :rule cong :premises (@p467 @p466) :args ((=> @t169 @t307))) % 128.38/128.62 (assume-push @p712 @t169) % 128.38/128.62 (step @p470 :rule instantiate :premises (@p457) :args ((@list @t239))) % 128.38/128.62 (step-pop @p713 :rule scope :premises (@p470)) % 128.38/128.62 (step @p471 :rule process_scope :premises (@p713) :args (@t307)) % 128.38/128.62 (step @p473 :rule eq_resolve :premises (@p471 @p468)) % 128.38/128.62 (step @p474 :rule implies_elim :premises (@p473)) % 128.38/128.62 (step @p475 :rule chain_m_resolution :premises (@p474 @p457) :args (@t309 @t226 (@list @t169))) % 128.38/128.62 (step @p476 :rule bool-double-not-elim :args (@t243)) % 128.38/128.62 (step @p477 :rule nary_cong :premises (@p360 @p476) :args ((or @t245 (not @t244)))) % 128.38/128.62 (step @p478 :rule cnf_or_neg :args (@t245 0)) % 128.38/128.62 (step @p479 :rule eq_resolve :premises (@p478 @p477)) % 128.38/128.62 (step @p480 :rule reordering :premises (@p479) :args ((or @t243 @t245))) % 128.38/128.62 (step @p481 :rule chain_m_resolution :premises (@p480 @p358) :args (@t243 @t200 @t255)) % 128.38/128.62 (step @p482 :rule cnf_or_pos :args (@t309)) % 128.38/128.62 (step @p483 :rule reordering :premises (@p482) :args ((or @t244 @t308 (not @t309)))) % 128.38/128.62 (step @p484 :rule chain_m_resolution :premises (@p483 @p481 @p475) :args (@t308 @t238 (@list @t243 @t309))) % 128.38/128.62 (step @p485 :rule refl :args (@t314)) % 128.38/128.62 (step @p486 :rule bool-double-not-elim :args (@t257)) % 128.38/128.62 (step @p487 :rule nary_cong :premises (@p486 @p485) :args ((or (not @t308) @t314))) % 128.38/128.62 (step @p488 :rule eq-symm :args (@t310 @t313)) % 128.38/128.62 (step @p489 :rule eq-refl :args (@t312)) % 128.38/128.62 (step @p490 :rule skolem_intro :args (@t313)) % 128.38/128.62 (step @p491 :rule refl :args (@t312)) % 128.38/128.62 (step @p492 :rule cong :premises (@p491 @p490) :args ((= @t312 @t313))) % 128.38/128.62 (step @p493 :rule trans :premises (@p492 @p489)) % 128.38/128.62 (step @p494 :rule true_elim :premises (@p493)) % 128.38/128.62 (step @p495 :rule eq-refl :args (@t256)) % 128.38/128.62 (step @p496 :rule skolem_intro :args (@t310)) % 128.38/128.62 (step @p497 :rule refl :args (@t256)) % 128.38/128.62 (step @p498 :rule cong :premises (@p497 @p496) :args ((= @t256 @t310))) % 128.38/128.62 (step @p499 :rule trans :premises (@p498 @p495)) % 128.38/128.62 (step @p500 :rule true_elim :premises (@p499)) % 128.38/128.62 (step @p501 :rule cong :premises (@p500 @p494) :args (@t315)) % 128.38/128.62 (step @p502 :rule trans :premises (@p501 @p488)) % 128.38/128.62 (step @p503 :rule refl :args (@t308)) % 128.38/128.62 (step @p504 :rule cong :premises (@p503 @p502) :args ((=> @t308 @t315))) % 128.38/128.62 (step @p505 :rule eq-symm :args (@t312 @t256)) % 128.38/128.62 (step @p506 :rule bool-double-not-elim :args (@t316)) % 128.38/128.62 (step @p507 :rule trans :premises (@p506 @p505)) % 128.38/128.62 (step @p508 :rule cong :premises (@p503 @p507) :args ((=> @t308 @t317))) % 128.38/128.62 (step @p509 :rule trans :premises (@p508 @p504)) % 128.38/128.62 (assume-push @p714 @t308) % 128.38/128.62 (step @p511 :rule skolemize :premises (@p714)) % 128.38/128.62 (step-pop @p715 :rule scope :premises (@p511)) % 128.38/128.62 (step @p512 :rule process_scope :premises (@p715) :args (@t317)) % 128.38/128.62 (step @p514 :rule eq_resolve :premises (@p512 @p509)) % 128.38/128.62 (step @p515 :rule implies_elim :premises (@p514)) % 128.38/128.62 (step @p516 :rule eq_resolve :premises (@p515 @p487)) % 128.38/128.62 (step @p517 :rule chain_m_resolution :premises (@p516 @p484) :args (@t314 @t200 (@list @t257))) % 128.38/128.62 ; trust TRUST THEORY_LEMMA % 128.38/128.62 (step @p518 :rule trust :premises () :args ((=> @t314 @t318))) % 128.38/128.62 (step @p519 :rule implies_elim :premises (@p518)) % 128.38/128.62 (step @p520 :rule chain_m_resolution :premises (@p519 @p517) :args (@t318 @t226 (@list @t314))) % 128.38/128.62 (step @p521 :rule bool-eq-true :args (@t321)) % 128.38/128.62 (step @p522 :rule eq-symm :args (true @t321)) % 128.38/128.62 (step @p523 :rule trans :premises (@p522 @p521)) % 128.38/128.62 (step @p524 :rule eq-symm :args (@t319 @t239)) % 128.38/128.62 (step @p525 :rule refl :args (@t295)) % 128.38/128.62 (step @p526 :rule nary_cong :premises (@p525 @p524) :args (@t322)) % 128.38/128.62 (step @p527 :rule eq-refl :args (@t258)) % 128.38/128.62 (step @p528 :rule cong :premises (@p527 @p526) :args (@t323)) % 128.38/128.62 (step @p529 :rule trans :premises (@p528 @p523)) % 128.38/128.62 (step @p530 :rule refl :args (@t318)) % 128.38/128.62 (step @p531 :rule cong :premises (@p530 @p529) :args ((=> @t318 @t323))) % 128.38/128.62 (assume-push @p716 @t318) % 128.38/128.62 (step @p533 :rule instantiate :premises (@p716) :args (@t298)) % 128.38/128.62 (step-pop @p717 :rule scope :premises (@p533)) % 128.38/128.62 (step @p534 :rule process_scope :premises (@p717) :args (@t323)) % 128.38/128.62 (step @p536 :rule eq_resolve :premises (@p534 @p531)) % 128.38/128.62 (step @p537 :rule implies_elim :premises (@p536)) % 128.38/128.62 (step @p538 :rule chain_m_resolution :premises (@p537 @p520) :args (@t321 @t226 @t324)) % 128.38/128.62 (step @p539 :rule cnf_and_pos :args (@t321 0)) % 128.38/128.62 (step @p540 :rule reordering :premises (@p539) :args ((or @t295 @t325))) % 128.38/128.62 (step @p541 :rule chain_m_resolution :premises (@p540 @p538) :args (@t295 @t226 @t326)) % 128.38/128.62 (step @p542 :rule cnf_or_pos :args (@t300)) % 128.38/128.62 (step @p543 :rule reordering :premises (@p542) :args ((or @t296 @t299 (not @t300)))) % 128.38/128.62 (step @p544 :rule chain_m_resolution :premises (@p543 @p541 @p451) :args (@t299 @t238 (@list @t295 @t300))) % 128.38/128.62 (step @p545 :rule refl :args (@t328)) % 128.38/128.62 (step @p546 :rule bool-double-not-elim :args (@t260)) % 128.38/128.62 (step @p547 :rule nary_cong :premises (@p546 @p545) :args ((or (not @t299) @t328))) % 128.38/128.62 (step @p548 :rule eq-symm :args (@t327 @t264)) % 128.38/128.62 (step @p549 :rule eq-refl :args (@t259)) % 128.38/128.62 (step @p550 :rule skolem_intro :args (@t327)) % 128.38/128.62 (step @p551 :rule refl :args (@t259)) % 128.38/128.62 (step @p552 :rule cong :premises (@p551 @p550) :args ((= @t259 @t327))) % 128.38/128.62 (step @p553 :rule trans :premises (@p552 @p549)) % 128.38/128.62 (step @p554 :rule true_elim :premises (@p553)) % 128.38/128.62 (step @p555 :rule cong :premises (@p554 @p371) :args (@t329)) % 128.38/128.62 (step @p556 :rule trans :premises (@p555 @p548)) % 128.38/128.62 (step @p557 :rule refl :args (@t299)) % 128.38/128.62 (step @p558 :rule cong :premises (@p557 @p556) :args ((=> @t299 @t329))) % 128.38/128.62 (step @p559 :rule eq-symm :args (@t263 @t259)) % 128.38/128.62 (step @p560 :rule eq-symm :args (@t261 @t2)) % 128.38/128.62 (step @p561 :rule cong :premises (@p560) :args (@t330)) % 128.38/128.62 (step @p562 :rule cong :premises (@p561 @p551) :args (@t331)) % 128.38/128.62 (step @p563 :rule trans :premises (@p562 @p559)) % 128.38/128.62 (step @p564 :rule bool-double-not-elim :args (@t331)) % 128.38/128.62 (step @p565 :rule trans :premises (@p564 @p563)) % 128.38/128.62 (step @p566 :rule cong :premises (@p557 @p565) :args ((=> @t299 @t332))) % 128.38/128.62 (step @p567 :rule trans :premises (@p566 @p558)) % 128.38/128.62 (assume-push @p718 @t299) % 128.38/128.62 (step @p569 :rule skolemize :premises (@p718)) % 128.38/128.62 (step-pop @p719 :rule scope :premises (@p569)) % 128.38/128.62 (step @p570 :rule process_scope :premises (@p719) :args (@t332)) % 128.38/128.62 (step @p572 :rule eq_resolve :premises (@p570 @p567)) % 128.38/128.62 (step @p573 :rule implies_elim :premises (@p572)) % 128.38/128.62 (step @p574 :rule eq_resolve :premises (@p573 @p547)) % 128.38/128.62 (step @p575 :rule chain_m_resolution :premises (@p574 @p544) :args (@t328 @t200 (@list @t260))) % 128.38/128.62 ; trust TRUST THEORY_LEMMA % 128.38/128.62 (step @p576 :rule trust :premises () :args ((=> @t328 @t333))) % 128.38/128.62 (step @p577 :rule implies_elim :premises (@p576)) % 128.38/128.62 (step @p578 :rule chain_m_resolution :premises (@p577 @p575) :args (@t333 @t226 (@list @t328))) % 128.38/128.62 (step @p579 :rule bool-eq-true :args (@t337)) % 128.38/128.62 (step @p580 :rule eq-symm :args (true @t337)) % 128.38/128.62 (step @p581 :rule trans :premises (@p580 @p579)) % 128.38/128.62 (step @p582 :rule eq-symm :args (@t334 @t258)) % 128.38/128.62 (step @p583 :rule refl :args (@t336)) % 128.38/128.62 (step @p584 :rule nary_cong :premises (@p583 @p582) :args (@t338)) % 128.38/128.62 (step @p585 :rule eq-refl :args (@t261)) % 128.38/128.62 (step @p586 :rule cong :premises (@p585 @p584) :args (@t339)) % 128.38/128.62 (step @p587 :rule trans :premises (@p586 @p581)) % 128.38/128.62 (step @p588 :rule refl :args (@t333)) % 128.38/128.62 (step @p589 :rule cong :premises (@p588 @p587) :args ((=> @t333 @t339))) % 128.38/128.62 (assume-push @p720 @t333) % 128.38/128.62 (step @p591 :rule instantiate :premises (@p720) :args (@t269)) % 128.38/128.62 (step-pop @p721 :rule scope :premises (@p591)) % 128.38/128.62 (step @p592 :rule process_scope :premises (@p721) :args (@t339)) % 128.38/128.62 (step @p594 :rule eq_resolve :premises (@p592 @p589)) % 128.38/128.62 (step @p595 :rule implies_elim :premises (@p594)) % 128.38/128.62 (step @p596 :rule chain_m_resolution :premises (@p595 @p578) :args (@t337 @t226 @t340)) % 128.38/128.62 (step @p597 :rule cnf_and_pos :args (@t337 0)) % 128.38/128.62 (step @p598 :rule reordering :premises (@p597) :args ((or @t336 @t341))) % 128.38/128.62 (step @p599 :rule chain_m_resolution :premises (@p598 @p596) :args (@t336 @t226 @t342)) % 128.38/128.62 (assume-push @p722 @t336) % 128.38/128.62 (assume-push @p723 @t277) % 128.38/128.62 (assume-push @p724 @t336) % 128.38/128.62 (assume-push @p725 @t277) % 128.38/128.62 (step @p604 :rule true_intro :premises (@p722)) % 128.38/128.62 (step @p605 :rule symm :premises (@p723)) % 128.38/128.62 (step @p606 :rule cong :premises (@p605) :args (@t275)) % 128.38/128.62 (step @p607 :rule trans :premises (@p606 @p604)) % 128.38/128.62 (step @p608 :rule true_elim :premises (@p607)) % 128.38/128.62 (step-pop @p726 :rule scope :premises (@p608)) % 128.38/128.62 (step-pop @p727 :rule scope :premises (@p726)) % 128.38/128.62 (step @p609 :rule process_scope :premises (@p727) :args (@t275)) % 128.38/128.62 (step @p612 :rule and_intro :premises (@p722 @p723)) % 128.38/128.62 (step @p613 :rule modus_ponens :premises (@p612 @p609)) % 128.38/128.62 (step-pop @p728 :rule scope :premises (@p613)) % 128.38/128.62 (step-pop @p729 :rule scope :premises (@p728)) % 128.38/128.62 (step @p614 :rule process_scope :premises (@p729) :args (@t275)) % 128.38/128.62 (step @p617 :rule implies_elim :premises (@p614)) % 128.38/128.62 (step @p618 :rule cnf_and_neg :args (@t343)) % 128.38/128.62 (step @p619 :rule resolution :premises (@p618 @p617) :args (true @t343)) % 128.38/128.62 (step @p620 :rule reordering :premises (@p619) :args ((or (not @t336) @t275 @t344))) % 128.38/128.62 (step @p621 :rule cnf_and_pos :args (@t321 1)) % 128.38/128.62 (step @p622 :rule reordering :premises (@p621) :args ((or @t320 @t325))) % 128.38/128.62 (step @p623 :rule chain_m_resolution :premises (@p622 @p538) :args (@t320 @t226 @t326)) % 128.38/128.62 (step @p624 :rule cnf_and_pos :args (@t337 1)) % 128.38/128.62 (step @p625 :rule reordering :premises (@p624) :args ((or @t335 @t341))) % 128.38/128.62 (step @p626 :rule chain_m_resolution :premises (@p625 @p596) :args (@t335 @t226 @t342)) % 128.38/128.62 (assume-push @p730 @t320) % 128.38/128.62 (assume-push @p731 @t335) % 128.38/128.62 (assume-push @p732 @t277) % 128.38/128.62 (assume-push @p733 @t277) % 128.38/128.62 (assume-push @p734 @t335) % 128.38/128.62 (assume-push @p735 @t320) % 128.38/128.62 (step @p633 :rule cong :premises (@p732) :args (@t334)) % 128.38/128.62 (step @p634 :rule trans :premises (@p731 @p633)) % 128.38/128.62 (step @p635 :rule cong :premises (@p634) :args (@t319)) % 128.38/128.62 (step @p636 :rule trans :premises (@p730 @p635)) % 128.38/128.62 (step-pop @p736 :rule scope :premises (@p636)) % 128.38/128.62 (step-pop @p737 :rule scope :premises (@p736)) % 128.38/128.62 (step-pop @p738 :rule scope :premises (@p737)) % 128.38/128.62 (step @p637 :rule process_scope :premises (@p738) :args (@t274)) % 128.38/128.62 (step @p641 :rule and_intro :premises (@p732 @p731 @p730)) % 128.38/128.62 (step @p642 :rule modus_ponens :premises (@p641 @p637)) % 128.38/128.62 (step-pop @p739 :rule scope :premises (@p642)) % 128.38/128.62 (step-pop @p740 :rule scope :premises (@p739)) % 128.38/128.62 (step-pop @p741 :rule scope :premises (@p740)) % 128.38/128.62 (step @p643 :rule process_scope :premises (@p741) :args (@t274)) % 128.38/128.62 (step @p647 :rule implies_elim :premises (@p643)) % 128.38/128.62 (step @p648 :rule cnf_and_neg :args (@t345)) % 128.38/128.62 (step @p649 :rule resolution :premises (@p648 @p647) :args (true @t345)) % 128.38/128.62 (step @p650 :rule reordering :premises (@p649) :args ((or (not @t320) (not @t335) @t274 @t344))) % 128.38/128.62 (step @p651 :rule cnf_and_neg :args (@t276)) % 128.38/128.62 (step @p652 :rule chain_m_resolution :premises (@p651 @p650 @p626 @p623 @p620 @p599 @p427 @p426) :args (@t344 (@list false false false false false true true) (@list @t274 @t335 @t320 @t275 @t336 @t276 @t288))) % 128.38/128.62 (step @p653 :rule cnf_equiv_neg1 :args (@t288)) % 128.38/128.62 (step @p654 :rule reordering :premises (@p653) :args ((or @t277 @t276 @t288))) % 128.38/128.62 (step @p655 :rule chain_m_resolution :premises (@p654 @p652 @p426) :args (@t276 (@list true true) (@list @t277 @t288))) % 128.38/128.62 (step @p656 :rule cnf_and_pos :args (@t276 1)) % 128.38/128.62 (step @p657 :rule reordering :premises (@p656) :args ((or @t274 @t346))) % 128.38/128.62 (step @p658 :rule chain_m_resolution :premises (@p657 @p655) :args (@t274 @t226 @t347)) % 128.38/128.62 (step @p659 :rule refl :args (@t348)) % 128.38/128.62 (step @p660 :rule nary_cong :premises (@p659 @p408) :args (@t349)) % 128.38/128.62 (step @p661 :rule eq-symm :args (@t272 @t258)) % 128.38/128.62 (step @p662 :rule cong :premises (@p661 @p660) :args (@t351)) % 128.38/128.62 (step @p663 :rule cong :premises (@p530 @p662) :args ((=> @t318 @t351))) % 128.38/128.62 (assume-push @p742 @t318) % 128.38/128.62 (step @p665 :rule instantiate :premises (@p742) :args ((@list @t272))) % 128.38/128.62 (step-pop @p743 :rule scope :premises (@p665)) % 128.38/128.62 (step @p666 :rule process_scope :premises (@p743) :args (@t351)) % 128.38/128.62 (step @p668 :rule eq_resolve :premises (@p666 @p663)) % 128.38/128.62 (step @p669 :rule implies_elim :premises (@p668)) % 128.38/128.62 (step @p670 :rule chain_m_resolution :premises (@p669 @p520) :args (@t354 @t226 @t324)) % 128.38/128.62 (step @p671 :rule nary_cong :premises (@p409 @p661) :args (@t355)) % 128.38/128.62 (step @p672 :rule cong :premises (@p396 @p671) :args (@t356)) % 128.38/128.62 (step @p673 :rule cong :premises (@p588 @p672) :args ((=> @t333 @t356))) % 128.38/128.62 (assume-push @p744 @t333) % 128.38/128.62 (step @p675 :rule instantiate :premises (@p744) :args (@t357)) % 128.38/128.62 (step-pop @p745 :rule scope :premises (@p675)) % 128.38/128.62 (step @p676 :rule process_scope :premises (@p745) :args (@t356)) % 128.38/128.62 (step @p678 :rule eq_resolve :premises (@p676 @p673)) % 128.38/128.62 (step @p679 :rule implies_elim :premises (@p678)) % 128.38/128.62 (step @p680 :rule chain_m_resolution :premises (@p679 @p578) :args (@t359 @t226 @t340)) % 128.38/128.62 (step @p681 :rule cnf_equiv_pos2 :args (@t359)) % 128.38/128.62 (step @p682 :rule reordering :premises (@p681) :args ((or @t277 @t360 (not @t359)))) % 128.38/128.62 (step @p683 :rule chain_m_resolution :premises (@p682 @p652 @p680) :args (@t360 @t361 (@list @t277 @t359))) % 128.38/128.62 (step @p684 :rule cnf_and_pos :args (@t276 0)) % 128.38/128.62 (step @p685 :rule reordering :premises (@p684) :args ((or @t275 @t346))) % 128.38/128.62 (step @p686 :rule chain_m_resolution :premises (@p685 @p655) :args (@t275 @t226 @t347)) % 128.38/128.62 (step @p687 :rule cnf_and_neg :args (@t358)) % 128.38/128.62 (step @p688 :rule reordering :premises (@p687) :args ((or @t363 @t358 @t362))) % 128.38/128.62 (step @p689 :rule chain_m_resolution :premises (@p688 @p686 @p683) :args (@t362 (@list false true) (@list @t275 @t358))) % 128.38/128.62 (step @p690 :rule cnf_equiv_pos2 :args (@t354)) % 128.38/128.62 (step @p691 :rule reordering :premises (@p690) :args ((or @t353 @t364 (not @t354)))) % 128.38/128.62 (step @p692 :rule chain_m_resolution :premises (@p691 @p689 @p670) :args (@t364 @t361 (@list @t353 @t354))) % 128.38/128.62 (step @p693 :rule instantiate :premises (@p309) :args (@t357)) % 128.38/128.62 (step @p694 :rule cnf_or_pos :args (@t365)) % 128.38/128.62 (step @p695 :rule reordering :premises (@p694) :args ((or @t363 @t348 (not @t365)))) % 128.38/128.62 (step @p696 :rule chain_m_resolution :premises (@p695 @p686 @p693) :args (@t348 @t238 (@list @t275 @t365))) % 128.38/128.62 (step @p697 :rule cnf_and_neg :args (@t352)) % 128.38/128.62 (step @p698 :rule reordering :premises (@p697) :args ((or (not @t274) @t352 (not @t348)))) % 128.38/128.62 (step @p699 false :rule chain_m_resolution :premises (@p698 @p696 @p692 @p658) :args (false (@list false true false) (@list @t348 @t352 @t274))) % 128.38/128.62 ) % 128.38/128.62 % SZS output end Proof % 128.38/128.62 % cvc5 exiting %------------------------------------------------------------------------------