%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : MGT042+1 : TPTP v9.3.0. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Tue Sep 8 06:04:50 AM UTC 2026 % Result : Theorem 0.22s 0.50s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : MGT042+1 : TPTP v9.3.0. Released v2.4.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.11/0.35 % Computer : n008.cluster.edu % 0.11/0.35 % Model : x86_64 x86_64 % 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.35 % Memory : 8046.5625MB % 0.11/0.35 % OS : Linux 6.8.0-71-generic % 0.11/0.35 % CPULimit : 300 % 0.11/0.35 % WCLimit : 300 % 0.11/0.35 % DateTime : Mon Sep 7 13:05:08 UTC 2026 % 0.11/0.35 % CPUTime : % 0.15/0.43 %----Proving TF0_NAR, FOF, or CNF % 0.22/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.22/0.50 % SZS status Theorem % 0.22/0.50 % SZS output start Proof % 0.22/0.50 ( % 0.22/0.50 (declare-sort $$unsorted 0) % 0.22/0.50 (declare-const tptp.external_ties (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.50 (declare-const tptp.stock_of_knowledge (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.50 (declare-const tptp.internal_friction (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.50 (declare-const tptp.organization (-> $$unsorted Bool)) % 0.22/0.50 (declare-const tptp.has_immunity (-> $$unsorted $$unsorted Bool)) % 0.22/0.50 (declare-const tptp.hazard_of_mortality (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.50 (declare-const tptp.capability (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.50 (declare-const tptp.greater_or_equal (-> $$unsorted $$unsorted Bool)) % 0.22/0.50 (declare-const tptp.position (-> $$unsorted $$unsorted $$unsorted)) % 0.22/0.50 (declare-const tptp.greater (-> $$unsorted $$unsorted Bool)) % 0.22/0.50 (declare-const tptp.smaller_or_equal (-> $$unsorted $$unsorted Bool)) % 0.22/0.50 (declare-const tptp.smaller (-> $$unsorted $$unsorted Bool)) % 0.22/0.50 (define @t1 () (@var "Y" $$unsorted)) % 0.22/0.50 (define @t2 () (@var "X" $$unsorted)) % 0.22/0.50 (define @t3 () (= @t2 @t1)) % 0.22/0.50 (define @t4 () (tptp.smaller @t2 @t1)) % 0.22/0.50 (define @t5 () (@list @t2 @t1)) % 0.22/0.50 (define @t6 () (tptp.greater @t2 @t1)) % 0.22/0.50 (define @t7 () (tptp.greater @t1 @t2)) % 0.22/0.50 (define @t8 () (forall @t5 (= @t4 @t7))) % 0.22/0.50 (define @t9 () (@var "Z" $$unsorted)) % 0.22/0.50 (define @t10 () (@var "T0" $$unsorted)) % 0.22/0.50 (define @t11 () (tptp.hazard_of_mortality @t2 @t10)) % 0.22/0.50 (define @t12 () (@var "T" $$unsorted)) % 0.22/0.50 (define @t13 () (tptp.hazard_of_mortality @t2 @t12)) % 0.22/0.50 (define @t14 () (tptp.position @t2 @t10)) % 0.22/0.50 (define @t15 () (tptp.position @t2 @t12)) % 0.22/0.50 (define @t16 () (= @t15 @t14)) % 0.22/0.50 (define @t17 () (tptp.capability @t2 @t10)) % 0.22/0.50 (define @t18 () (tptp.capability @t2 @t12)) % 0.22/0.50 (define @t19 () (= @t18 @t17)) % 0.22/0.50 (define @t20 () (and @t19 @t16)) % 0.22/0.50 (define @t21 () (=> @t20 (= @t13 @t11))) % 0.22/0.50 (define @t22 () (tptp.smaller @t13 @t11)) % 0.22/0.50 (define @t23 () (tptp.greater @t15 @t14)) % 0.22/0.50 (define @t24 () (tptp.greater_or_equal @t18 @t17)) % 0.22/0.50 (define @t25 () (and @t24 @t23)) % 0.22/0.50 (define @t26 () (=> @t25 @t22)) % 0.22/0.50 (define @t27 () (tptp.greater_or_equal @t15 @t14)) % 0.22/0.50 (define @t28 () (tptp.greater @t18 @t17)) % 0.22/0.50 (define @t29 () (and @t28 @t27)) % 0.22/0.50 (define @t30 () (=> @t29 @t22)) % 0.22/0.50 (define @t31 () (and @t30 @t26 @t21)) % 0.22/0.50 (define @t32 () (tptp.has_immunity @t2 @t12)) % 0.22/0.50 (define @t33 () (not @t32)) % 0.22/0.50 (define @t34 () (tptp.has_immunity @t2 @t10)) % 0.22/0.50 (define @t35 () (not @t34)) % 0.22/0.50 (define @t36 () (tptp.organization @t2)) % 0.22/0.50 (define @t37 () (and @t36 @t35 @t33)) % 0.22/0.50 (define @t38 () (=> @t37 @t31)) % 0.22/0.50 (define @t39 () (@list @t2 @t10 @t12)) % 0.22/0.50 (define @t40 () (forall @t39 @t38)) % 0.22/0.50 (define @t41 () (tptp.internal_friction @t2 @t10)) % 0.22/0.50 (define @t42 () (tptp.internal_friction @t2 @t12)) % 0.22/0.50 (define @t43 () (tptp.stock_of_knowledge @t2 @t10)) % 0.22/0.50 (define @t44 () (tptp.stock_of_knowledge @t2 @t12)) % 0.22/0.50 (define @t45 () (and (= @t44 @t43) (= @t42 @t41))) % 0.22/0.50 (define @t46 () (=> @t45 @t19)) % 0.22/0.50 (define @t47 () (tptp.smaller @t18 @t17)) % 0.22/0.50 (define @t48 () (tptp.greater @t42 @t41)) % 0.22/0.50 (define @t49 () (tptp.smaller_or_equal @t44 @t43)) % 0.22/0.50 (define @t50 () (and @t49 @t48)) % 0.22/0.50 (define @t51 () (=> @t50 @t47)) % 0.22/0.50 (define @t52 () (tptp.smaller_or_equal @t42 @t41)) % 0.22/0.50 (define @t53 () (tptp.greater @t44 @t43)) % 0.22/0.50 (define @t54 () (and @t53 @t52)) % 0.22/0.50 (define @t55 () (=> @t54 @t28)) % 0.22/0.50 (define @t56 () (and @t55 @t51 @t46)) % 0.22/0.50 (define @t57 () (=> @t36 @t56)) % 0.22/0.50 (define @t58 () (forall @t39 @t57)) % 0.22/0.50 (define @t59 () (tptp.external_ties @t2 @t10)) % 0.22/0.50 (define @t60 () (tptp.external_ties @t2 @t12)) % 0.22/0.50 (define @t61 () (=> (= @t60 @t59) @t16)) % 0.22/0.50 (define @t62 () (tptp.greater @t60 @t59)) % 0.22/0.50 (define @t63 () (=> @t62 @t23)) % 0.22/0.50 (define @t64 () (and @t63 @t61)) % 0.22/0.50 (define @t65 () (=> @t36 @t64)) % 0.22/0.50 (define @t66 () (forall @t39 @t65)) % 0.22/0.50 (define @t67 () (tptp.greater_or_equal @t44 @t43)) % 0.22/0.50 (define @t68 () (and @t67 @t52 @t62)) % 0.22/0.50 (define @t69 () (tptp.greater_or_equal @t60 @t59)) % 0.22/0.50 (define @t70 () (and @t53 @t52 @t69)) % 0.22/0.50 (define @t71 () (and (=> @t70 @t22) (=> @t68 @t22))) % 0.22/0.50 (define @t72 () (forall @t39 (=> @t37 @t71))) % 0.22/0.50 (define @t73 () (not @t72)) % 0.22/0.50 (define @t74 () (not @t62)) % 0.22/0.50 (define @t75 () (not @t52)) % 0.22/0.50 (define @t76 () (not @t67)) % 0.22/0.50 (define @t77 () (or @t76 @t75 @t74 @t22)) % 0.22/0.50 (define @t78 () (not @t69)) % 0.22/0.50 (define @t79 () (not @t53)) % 0.22/0.50 (define @t80 () (or @t79 @t75 @t78 @t22)) % 0.22/0.50 (define @t81 () (and @t80 @t77)) % 0.22/0.50 (define @t82 () (not @t36)) % 0.22/0.50 (define @t83 () (or @t82 @t34 @t32 @t81)) % 0.22/0.50 (define @t84 () (or @t82 @t34 @t32)) % 0.22/0.50 (define @t85 () (or @t76 @t75 @t74)) % 0.22/0.50 (define @t86 () (or @t79 @t75 @t78)) % 0.22/0.50 (define @t87 () (not @t33)) % 0.22/0.50 (define @t88 () (not @t35)) % 0.22/0.50 (define @t89 () (or @t82 @t88 @t87)) % 0.22/0.50 (define @t90 () (not @t37)) % 0.22/0.50 (define @t91 () (forall @t39 @t83)) % 0.22/0.50 (define @t92 () (@quantifiers_skolemize @t91 1)) % 0.22/0.50 (define @t93 () (@quantifiers_skolemize @t91 0)) % 0.22/0.50 (define @t94 () (tptp.hazard_of_mortality @t93 @t92)) % 0.22/0.50 (define @t95 () (@quantifiers_skolemize @t91 2)) % 0.22/0.50 (define @t96 () (tptp.hazard_of_mortality @t93 @t95)) % 0.22/0.50 (define @t97 () (tptp.smaller @t96 @t94)) % 0.22/0.50 (define @t98 () (tptp.external_ties @t93 @t92)) % 0.22/0.50 (define @t99 () (tptp.external_ties @t93 @t95)) % 0.22/0.50 (define @t100 () (tptp.greater @t99 @t98)) % 0.22/0.50 (define @t101 () (not @t100)) % 0.22/0.50 (define @t102 () (tptp.internal_friction @t93 @t92)) % 0.22/0.50 (define @t103 () (tptp.internal_friction @t93 @t95)) % 0.22/0.50 (define @t104 () (tptp.smaller_or_equal @t103 @t102)) % 0.22/0.50 (define @t105 () (not @t104)) % 0.22/0.50 (define @t106 () (tptp.stock_of_knowledge @t93 @t92)) % 0.22/0.50 (define @t107 () (tptp.stock_of_knowledge @t93 @t95)) % 0.22/0.50 (define @t108 () (tptp.greater_or_equal @t107 @t106)) % 0.22/0.50 (define @t109 () (not @t108)) % 0.22/0.50 (define @t110 () (or @t109 @t105 @t101 @t97)) % 0.22/0.50 (define @t111 () (tptp.greater_or_equal @t99 @t98)) % 0.22/0.50 (define @t112 () (not @t111)) % 0.22/0.50 (define @t113 () (tptp.greater @t107 @t106)) % 0.22/0.50 (define @t114 () (not @t113)) % 0.22/0.50 (define @t115 () (or @t114 @t105 @t112 @t97)) % 0.22/0.50 (define @t116 () (and @t115 @t110)) % 0.22/0.50 (define @t117 () (tptp.has_immunity @t93 @t95)) % 0.22/0.50 (define @t118 () (tptp.has_immunity @t93 @t92)) % 0.22/0.50 (define @t119 () (tptp.organization @t93)) % 0.22/0.50 (define @t120 () (not @t119)) % 0.22/0.50 (define @t121 () (or @t120 @t118 @t117 @t116)) % 0.22/0.50 (define @t122 () (@list true)) % 0.22/0.50 (define @t123 () (@list @t121)) % 0.22/0.50 (define @t124 () (not @t105)) % 0.22/0.50 (define @t125 () (@list @t107 @t106)) % 0.22/0.50 (define @t126 () (= @t107 @t106)) % 0.22/0.50 (define @t127 () (or @t113 @t126)) % 0.22/0.50 (define @t128 () (= @t108 @t127)) % 0.22/0.50 (define @t129 () (not @t128)) % 0.22/0.50 (define @t130 () (@list @t103 @t102)) % 0.22/0.50 (define @t131 () (= @t103 @t102)) % 0.22/0.50 (define @t132 () (tptp.smaller @t103 @t102)) % 0.22/0.50 (define @t133 () (or @t132 @t131)) % 0.22/0.50 (define @t134 () (= @t104 @t133)) % 0.22/0.50 (define @t135 () (= @t59 @t60)) % 0.22/0.50 (define @t136 () (= @t14 @t15)) % 0.22/0.50 (define @t137 () (and @t63 (=> @t135 @t136))) % 0.22/0.50 (define @t138 () (tptp.position @t93 @t92)) % 0.22/0.50 (define @t139 () (tptp.position @t93 @t95)) % 0.22/0.50 (define @t140 () (not (= @t98 @t99))) % 0.22/0.50 (define @t141 () (= @t138 @t139)) % 0.22/0.50 (define @t142 () (or @t140 @t141)) % 0.22/0.50 (define @t143 () (tptp.greater @t139 @t138)) % 0.22/0.50 (define @t144 () (or @t101 @t143)) % 0.22/0.50 (define @t145 () (and @t144 @t142)) % 0.22/0.50 (define @t146 () (or @t120 @t145)) % 0.22/0.50 (define @t147 () (forall @t39 (or @t82 (and (or @t74 @t23) (or (not @t135) @t136))))) % 0.22/0.50 (define @t148 () (@list @t93 @t92 @t95)) % 0.22/0.50 (define @t149 () (= @t139 @t138)) % 0.22/0.50 (define @t150 () (= @t99 @t98)) % 0.22/0.50 (define @t151 () (not @t150)) % 0.22/0.50 (define @t152 () (or @t151 @t149)) % 0.22/0.50 (define @t153 () (and @t144 @t152)) % 0.22/0.50 (define @t154 () (or @t120 @t153)) % 0.22/0.50 (define @t155 () (@list false)) % 0.22/0.50 (define @t156 () (@list false false)) % 0.22/0.50 (define @t157 () (not @t153)) % 0.22/0.50 (define @t158 () (@list @t153)) % 0.22/0.50 (define @t159 () (= @t11 @t13)) % 0.22/0.50 (define @t160 () (not @t136)) % 0.22/0.50 (define @t161 () (= @t17 @t18)) % 0.22/0.50 (define @t162 () (not @t161)) % 0.22/0.50 (define @t163 () (or @t162 @t160 @t159)) % 0.22/0.50 (define @t164 () (not @t23)) % 0.22/0.50 (define @t165 () (not @t24)) % 0.22/0.50 (define @t166 () (or @t165 @t164 @t22)) % 0.22/0.50 (define @t167 () (not @t27)) % 0.22/0.50 (define @t168 () (not @t28)) % 0.22/0.50 (define @t169 () (or @t168 @t167 @t22)) % 0.22/0.50 (define @t170 () (and @t169 @t166 @t163)) % 0.22/0.50 (define @t171 () (or @t82 @t34 @t32 @t170)) % 0.22/0.50 (define @t172 () (and @t161 @t136)) % 0.22/0.50 (define @t173 () (and @t30 @t26 (=> @t172 @t159))) % 0.22/0.50 (define @t174 () (not @t141)) % 0.22/0.50 (define @t175 () (tptp.capability @t93 @t92)) % 0.22/0.50 (define @t176 () (tptp.capability @t93 @t95)) % 0.22/0.50 (define @t177 () (= @t175 @t176)) % 0.22/0.50 (define @t178 () (not @t177)) % 0.22/0.50 (define @t179 () (or @t178 @t174 (= @t94 @t96))) % 0.22/0.50 (define @t180 () (not @t143)) % 0.22/0.50 (define @t181 () (tptp.greater_or_equal @t176 @t175)) % 0.22/0.50 (define @t182 () (not @t181)) % 0.22/0.50 (define @t183 () (or @t182 @t180 @t97)) % 0.22/0.50 (define @t184 () (tptp.greater_or_equal @t139 @t138)) % 0.22/0.50 (define @t185 () (not @t184)) % 0.22/0.50 (define @t186 () (tptp.greater @t176 @t175)) % 0.22/0.50 (define @t187 () (not @t186)) % 0.22/0.50 (define @t188 () (or @t187 @t185 @t97)) % 0.22/0.50 (define @t189 () (and @t188 @t183 @t179)) % 0.22/0.50 (define @t190 () (or @t120 @t118 @t117 @t189)) % 0.22/0.50 (define @t191 () (forall @t39 @t171)) % 0.22/0.50 (define @t192 () (not @t149)) % 0.22/0.50 (define @t193 () (= @t176 @t175)) % 0.22/0.50 (define @t194 () (not @t193)) % 0.22/0.50 (define @t195 () (and @t188 @t183 (or @t194 @t192 (= @t96 @t94)))) % 0.22/0.50 (define @t196 () (or @t120 @t118 @t117 @t195)) % 0.22/0.50 (define @t197 () (not @t195)) % 0.22/0.50 (define @t198 () (@list @t195)) % 0.22/0.50 (define @t199 () (or @t186 @t193)) % 0.22/0.50 (define @t200 () (= @t181 @t199)) % 0.22/0.50 (define @t201 () (= @t41 @t42)) % 0.22/0.50 (define @t202 () (not @t201)) % 0.22/0.50 (define @t203 () (= @t43 @t44)) % 0.22/0.50 (define @t204 () (not @t203)) % 0.22/0.50 (define @t205 () (or @t204 @t202 @t161)) % 0.22/0.50 (define @t206 () (and @t203 @t201)) % 0.22/0.50 (define @t207 () (not @t48)) % 0.22/0.50 (define @t208 () (not @t49)) % 0.22/0.50 (define @t209 () (or @t208 @t207 @t47)) % 0.22/0.50 (define @t210 () (or @t79 @t75 @t28)) % 0.22/0.50 (define @t211 () (and @t55 @t51 (=> @t206 @t161))) % 0.22/0.50 (define @t212 () (not (= @t102 @t103))) % 0.22/0.50 (define @t213 () (not (= @t106 @t107))) % 0.22/0.50 (define @t214 () (or @t213 @t212 @t177)) % 0.22/0.50 (define @t215 () (tptp.smaller_or_equal @t107 @t106)) % 0.22/0.50 (define @t216 () (not @t215)) % 0.22/0.50 (define @t217 () (or @t216 (not (tptp.greater @t103 @t102)) (tptp.smaller @t176 @t175))) % 0.22/0.50 (define @t218 () (or @t114 @t105 @t186)) % 0.22/0.50 (define @t219 () (and @t218 @t217 @t214)) % 0.22/0.50 (define @t220 () (or @t120 @t219)) % 0.22/0.50 (define @t221 () (forall @t39 (or @t82 (and @t210 @t209 @t205)))) % 0.22/0.50 (define @t222 () (not @t131)) % 0.22/0.50 (define @t223 () (not @t126)) % 0.22/0.50 (define @t224 () (or @t223 @t222 @t193)) % 0.22/0.50 (define @t225 () (and @t218 @t217 @t224)) % 0.22/0.50 (define @t226 () (or @t120 @t225)) % 0.22/0.50 (define @t227 () (not @t225)) % 0.22/0.50 (define @t228 () (@list @t225)) % 0.22/0.50 (define @t229 () (tptp.smaller @t175 @t176)) % 0.22/0.50 (define @t230 () (= @t229 @t186)) % 0.22/0.50 (define @t231 () (= @t186 @t229)) % 0.22/0.50 (define @t232 () (not @t127)) % 0.22/0.50 (define @t233 () (or (tptp.smaller @t107 @t106) @t126)) % 0.22/0.50 (define @t234 () (= @t215 @t233)) % 0.22/0.50 (define @t235 () (tptp.greater @t102 @t103)) % 0.22/0.50 (define @t236 () (= @t132 @t235)) % 0.22/0.50 (define @t237 () (not @t235)) % 0.22/0.50 (define @t238 () (tptp.smaller_or_equal @t106 @t107)) % 0.22/0.50 (define @t239 () (not @t238)) % 0.22/0.50 (define @t240 () (or @t239 @t237 @t229)) % 0.22/0.50 (define @t241 () (and (or (not (tptp.greater @t106 @t107)) (not (tptp.smaller_or_equal @t102 @t103)) (tptp.greater @t175 @t176)) @t240 @t224)) % 0.22/0.50 (define @t242 () (or @t120 @t241)) % 0.22/0.50 (define @t243 () (and @t126 @t215)) % 0.22/0.50 (define @t244 () (or @t100 @t150)) % 0.22/0.50 (define @t245 () (= @t111 @t244)) % 0.22/0.50 (define @t246 () (or @t143 @t149)) % 0.22/0.50 (define @t247 () (= @t184 @t246)) % 0.22/0.50 (define @t248 () (@list @t97)) % 0.22/0.50 (assume @p1 (forall @t5 (= (tptp.smaller_or_equal @t2 @t1) (or @t4 @t3)))) % 0.22/0.50 (assume @p2 (forall @t5 (= (tptp.greater_or_equal @t2 @t1) (or @t6 @t3)))) % 0.22/0.50 (assume @p3 @t8) % 0.22/0.50 (assume @p4 (forall @t5 (not (and @t6 @t7)))) % 0.22/0.50 (assume @p5 (forall (@list @t2 @t1 @t9) (=> (and @t6 (tptp.greater @t1 @t9)) (tptp.greater @t2 @t9)))) % 0.22/0.50 (assume @p6 (forall @t5 (or @t4 @t3 @t6))) % 0.22/0.50 (assume @p7 @t40) % 0.22/0.50 (assume @p8 @t58) % 0.22/0.50 (assume @p9 @t66) % 0.22/0.50 (assume @p10 @t73) % 0.22/0.50 (assume @p11 true) % 0.22/0.50 (step @p12 :rule aci_norm :args ((= (or @t84 @t81) @t83))) % 0.22/0.50 (step @p13 :rule aci_norm :args ((= (or @t85 @t22) @t77))) % 0.22/0.50 (step @p14 :rule refl :args (@t22)) % 0.22/0.50 (step @p15 :rule aci_norm :args ((= (or @t76 (or @t75 @t74)) @t85))) % 0.22/0.50 (step @p16 :rule bool-and-de-morgan :args (@t52 @t62 true)) % 0.22/0.50 (step @p17 :rule refl :args (@t76)) % 0.22/0.50 (step @p18 :rule nary_cong :premises (@p17 @p16) :args ((or @t76 (not (and @t52 @t62))))) % 0.22/0.50 (step @p19 :rule bool-and-de-morgan :args (@t67 @t52 (and @t62))) % 0.22/0.50 (step @p20 :rule trans :premises (@p19 @p18)) % 0.22/0.50 (step @p21 :rule trans :premises (@p20 @p15)) % 0.22/0.50 (step @p22 :rule nary_cong :premises (@p21 @p14) :args ((or (not @t68) @t22))) % 0.22/0.50 (step @p23 :rule trans :premises (@p22 @p13)) % 0.22/0.50 (step @p24 :rule bool-impl-elim :args (@t68 @t22)) % 0.22/0.50 (step @p25 :rule trans :premises (@p24 @p23)) % 0.22/0.50 (step @p26 :rule aci_norm :args ((= (or @t86 @t22) @t80))) % 0.22/0.50 (step @p27 :rule aci_norm :args ((= (or @t79 (or @t75 @t78)) @t86))) % 0.22/0.50 (step @p28 :rule bool-and-de-morgan :args (@t52 @t69 true)) % 0.22/0.50 (step @p29 :rule refl :args (@t79)) % 0.22/0.50 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t79 (not (and @t52 @t69))))) % 0.22/0.50 (step @p31 :rule bool-and-de-morgan :args (@t53 @t52 (and @t69))) % 0.22/0.50 (step @p32 :rule trans :premises (@p31 @p30)) % 0.22/0.50 (step @p33 :rule trans :premises (@p32 @p27)) % 0.22/0.50 (step @p34 :rule nary_cong :premises (@p33 @p14) :args ((or (not @t70) @t22))) % 0.22/0.50 (step @p35 :rule trans :premises (@p34 @p26)) % 0.22/0.50 (step @p36 :rule bool-impl-elim :args (@t70 @t22)) % 0.22/0.50 (step @p37 :rule trans :premises (@p36 @p35)) % 0.22/0.50 (step @p38 :rule nary_cong :premises (@p37 @p25) :args (@t71)) % 0.22/0.50 (step @p39 :rule bool-double-not-elim :args (@t32)) % 0.22/0.50 (step @p40 :rule bool-double-not-elim :args (@t34)) % 0.22/0.50 (step @p41 :rule refl :args (@t82)) % 0.22/0.50 (step @p42 :rule nary_cong :premises (@p41 @p40 @p39) :args (@t89)) % 0.22/0.50 (step @p43 :rule aci_norm :args ((= (or @t82 (or @t88 @t87)) @t89))) % 0.22/0.50 (step @p44 :rule trans :premises (@p43 @p42)) % 0.22/0.50 (step @p45 :rule bool-and-de-morgan :args (@t35 @t33 true)) % 0.22/0.50 (step @p46 :rule nary_cong :premises (@p41 @p45) :args ((or @t82 (not (and @t35 @t33))))) % 0.22/0.50 (step @p47 :rule bool-and-de-morgan :args (@t36 @t35 (and @t33))) % 0.22/0.50 (step @p48 :rule trans :premises (@p47 @p46)) % 0.22/0.50 (step @p49 :rule trans :premises (@p48 @p44)) % 0.22/0.50 (step @p50 :rule nary_cong :premises (@p49 @p38) :args ((or @t90 @t71))) % 0.22/0.50 (step @p51 :rule trans :premises (@p50 @p12)) % 0.22/0.50 (step @p52 :rule bool-impl-elim :args (@t37 @t71)) % 0.22/0.50 (step @p53 :rule trans :premises (@p52 @p51)) % 0.22/0.50 (step @p54 :rule cong :premises (@p53) :args (@t72)) % 0.22/0.50 (step @p55 :rule cong :premises (@p54) :args (@t73)) % 0.22/0.50 (step @p56 :rule eq_resolve :premises (@p10 @p55)) % 0.22/0.50 (step @p57 :rule skolemize :premises (@p56)) % 0.22/0.50 (step @p58 :rule cnf_or_neg :args (@t121 3)) % 0.22/0.50 (step @p59 :rule chain_m_resolution :premises (@p58 @p57) :args ((not @t116) @t122 @t123)) % 0.22/0.50 (step @p60 :rule bool-double-not-elim :args (@t108)) % 0.22/0.50 (step @p61 :rule refl :args (@t110)) % 0.22/0.50 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t110 (not @t109)))) % 0.22/0.50 (step @p63 :rule cnf_or_neg :args (@t110 0)) % 0.22/0.50 (step @p64 :rule eq_resolve :premises (@p63 @p62)) % 0.22/0.50 (step @p65 :rule reordering :premises (@p64) :args ((or @t108 @t110))) % 0.22/0.50 (step @p66 :rule bool-double-not-elim :args (@t104)) % 0.22/0.50 (step @p67 :rule nary_cong :premises (@p61 @p66) :args ((or @t110 @t124))) % 0.22/0.50 (step @p68 :rule cnf_or_neg :args (@t110 1)) % 0.22/0.50 (step @p69 :rule eq_resolve :premises (@p68 @p67)) % 0.22/0.50 (step @p70 :rule reordering :premises (@p69) :args ((or @t104 @t110))) % 0.22/0.50 (step @p71 :rule bool-double-not-elim :args (@t100)) % 0.22/0.50 (step @p72 :rule nary_cong :premises (@p61 @p71) :args ((or @t110 (not @t101)))) % 0.22/0.50 (step @p73 :rule cnf_or_neg :args (@t110 2)) % 0.22/0.50 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.22/0.50 (step @p75 :rule reordering :premises (@p74) :args ((or @t100 @t110))) % 0.22/0.50 (step @p76 :rule instantiate :premises (@p2) :args (@t125)) % 0.22/0.50 (step @p77 :rule cnf_equiv_pos1 :args (@t128)) % 0.22/0.50 (step @p78 :rule reordering :premises (@p77) :args ((or @t109 @t127 @t129))) % 0.22/0.50 (step @p79 :rule instantiate :premises (@p1) :args (@t130)) % 0.22/0.50 (step @p80 :rule cnf_equiv_pos1 :args (@t134)) % 0.22/0.50 (step @p81 :rule reordering :premises (@p80) :args ((or @t105 @t133 (not @t134)))) % 0.22/0.50 (step @p82 :rule bool-impl-elim :args (@t135 @t136)) % 0.22/0.50 (step @p83 :rule bool-impl-elim :args (@t62 @t23)) % 0.22/0.50 (step @p84 :rule nary_cong :premises (@p83 @p82) :args (@t137)) % 0.22/0.50 (step @p85 :rule nary_cong :premises (@p41 @p84) :args ((or @t82 @t137))) % 0.22/0.50 (step @p86 :rule bool-impl-elim :args (@t36 @t137)) % 0.22/0.50 (step @p87 :rule trans :premises (@p86 @p85)) % 0.22/0.50 (step @p88 :rule cong :premises (@p87) :args ((forall @t39 (=> @t36 @t137)))) % 0.22/0.50 (step @p89 :rule eq-symm :args (@t15 @t14)) % 0.22/0.50 (step @p90 :rule eq-symm :args (@t60 @t59)) % 0.22/0.50 (step @p91 :rule cong :premises (@p90 @p89) :args (@t61)) % 0.22/0.50 (step @p92 :rule refl :args (@t63)) % 0.22/0.50 (step @p93 :rule nary_cong :premises (@p92 @p91) :args (@t64)) % 0.22/0.50 (step @p94 :rule refl :args (@t36)) % 0.22/0.50 (step @p95 :rule cong :premises (@p94 @p93) :args (@t65)) % 0.22/0.50 (step @p96 :rule cong :premises (@p95) :args (@t66)) % 0.22/0.50 (step @p97 :rule trans :premises (@p96 @p88)) % 0.22/0.50 (step @p98 :rule eq_resolve :premises (@p9 @p97)) % 0.22/0.50 (step @p99 :rule eq-symm :args (@t138 @t139)) % 0.22/0.50 (step @p100 :rule eq-symm :args (@t98 @t99)) % 0.22/0.50 (step @p101 :rule cong :premises (@p100) :args (@t140)) % 0.22/0.50 (step @p102 :rule nary_cong :premises (@p101 @p99) :args (@t142)) % 0.22/0.50 (step @p103 :rule refl :args (@t144)) % 0.22/0.50 (step @p104 :rule nary_cong :premises (@p103 @p102) :args (@t145)) % 0.22/0.50 (step @p105 :rule refl :args (@t120)) % 0.22/0.50 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t146)) % 0.22/0.50 (step @p107 :rule refl :args (@t147)) % 0.22/0.50 (step @p108 :rule cong :premises (@p107 @p106) :args ((=> @t147 @t146))) % 0.22/0.50 (assume-push @p381 @t147) % 0.22/0.50 (step @p110 :rule instantiate :premises (@p98) :args (@t148)) % 0.22/0.50 (step-pop @p382 :rule scope :premises (@p110)) % 0.22/0.50 (step @p111 :rule process_scope :premises (@p382) :args (@t146)) % 0.22/0.50 (step @p113 :rule eq_resolve :premises (@p111 @p108)) % 0.22/0.50 (step @p114 :rule implies_elim :premises (@p113)) % 0.22/0.50 (step @p115 :rule chain_m_resolution :premises (@p114 @p98) :args (@t154 @t155 (@list @t147))) % 0.22/0.50 (step @p116 :rule bool-double-not-elim :args (@t119)) % 0.22/0.50 (step @p117 :rule refl :args (@t121)) % 0.22/0.50 (step @p118 :rule nary_cong :premises (@p117 @p116) :args ((or @t121 (not @t120)))) % 0.22/0.50 (step @p119 :rule cnf_or_neg :args (@t121 0)) % 0.22/0.50 (step @p120 :rule eq_resolve :premises (@p119 @p118)) % 0.22/0.50 (step @p121 :rule reordering :premises (@p120) :args ((or @t119 @t121))) % 0.22/0.50 (step @p122 :rule chain_m_resolution :premises (@p121 @p57) :args (@t119 @t122 @t123)) % 0.22/0.50 (step @p123 :rule cnf_or_pos :args (@t154)) % 0.22/0.50 (step @p124 :rule reordering :premises (@p123) :args ((or @t120 @t153 (not @t154)))) % 0.22/0.50 (step @p125 :rule chain_m_resolution :premises (@p124 @p122 @p115) :args (@t153 @t156 (@list @t119 @t154))) % 0.22/0.50 (step @p126 :rule cnf_and_pos :args (@t153 0)) % 0.22/0.50 (step @p127 :rule reordering :premises (@p126) :args ((or @t144 @t157))) % 0.22/0.50 (step @p128 :rule chain_m_resolution :premises (@p127 @p125) :args (@t144 @t155 @t158)) % 0.22/0.50 (step @p129 :rule cnf_or_pos :args (@t144)) % 0.22/0.50 (step @p130 :rule reordering :premises (@p129) :args ((or @t101 @t143 (not @t144)))) % 0.22/0.50 (step @p131 :rule aci_norm :args ((= (or @t84 @t170) @t171))) % 0.22/0.50 (step @p132 :rule aci_norm :args ((= (or (or @t162 @t160) @t159) @t163))) % 0.22/0.50 (step @p133 :rule refl :args (@t159)) % 0.22/0.50 (step @p134 :rule bool-and-de-morgan :args (@t161 @t136 true)) % 0.22/0.50 (step @p135 :rule nary_cong :premises (@p134 @p133) :args ((or (not @t172) @t159))) % 0.22/0.50 (step @p136 :rule trans :premises (@p135 @p132)) % 0.22/0.50 (step @p137 :rule bool-impl-elim :args (@t172 @t159)) % 0.22/0.50 (step @p138 :rule trans :premises (@p137 @p136)) % 0.22/0.50 (step @p139 :rule aci_norm :args ((= (or (or @t165 @t164) @t22) @t166))) % 0.22/0.50 (step @p140 :rule bool-and-de-morgan :args (@t24 @t23 true)) % 0.22/0.50 (step @p141 :rule nary_cong :premises (@p140 @p14) :args ((or (not @t25) @t22))) % 0.22/0.50 (step @p142 :rule trans :premises (@p141 @p139)) % 0.22/0.50 (step @p143 :rule bool-impl-elim :args (@t25 @t22)) % 0.22/0.50 (step @p144 :rule trans :premises (@p143 @p142)) % 0.22/0.50 (step @p145 :rule aci_norm :args ((= (or (or @t168 @t167) @t22) @t169))) % 0.22/0.50 (step @p146 :rule bool-and-de-morgan :args (@t28 @t27 true)) % 0.22/0.50 (step @p147 :rule nary_cong :premises (@p146 @p14) :args ((or (not @t29) @t22))) % 0.22/0.50 (step @p148 :rule trans :premises (@p147 @p145)) % 0.22/0.50 (step @p149 :rule bool-impl-elim :args (@t29 @t22)) % 0.22/0.50 (step @p150 :rule trans :premises (@p149 @p148)) % 0.22/0.50 (step @p151 :rule nary_cong :premises (@p150 @p144 @p138) :args (@t173)) % 0.22/0.50 (step @p152 :rule nary_cong :premises (@p49 @p151) :args ((or @t90 @t173))) % 0.22/0.50 (step @p153 :rule trans :premises (@p152 @p131)) % 0.22/0.50 (step @p154 :rule bool-impl-elim :args (@t37 @t173)) % 0.22/0.50 (step @p155 :rule trans :premises (@p154 @p153)) % 0.22/0.50 (step @p156 :rule cong :premises (@p155) :args ((forall @t39 (=> @t37 @t173)))) % 0.22/0.50 (step @p157 :rule eq-symm :args (@t13 @t11)) % 0.22/0.50 (step @p158 :rule eq-symm :args (@t18 @t17)) % 0.22/0.50 (step @p159 :rule nary_cong :premises (@p158 @p89) :args (@t20)) % 0.22/0.50 (step @p160 :rule cong :premises (@p159 @p157) :args (@t21)) % 0.22/0.50 (step @p161 :rule refl :args (@t26)) % 0.22/0.50 (step @p162 :rule refl :args (@t30)) % 0.22/0.50 (step @p163 :rule nary_cong :premises (@p162 @p161 @p160) :args (@t31)) % 0.22/0.50 (step @p164 :rule refl :args (@t37)) % 0.22/0.50 (step @p165 :rule cong :premises (@p164 @p163) :args (@t38)) % 0.22/0.50 (step @p166 :rule cong :premises (@p165) :args (@t40)) % 0.22/0.50 (step @p167 :rule trans :premises (@p166 @p156)) % 0.22/0.50 (step @p168 :rule eq_resolve :premises (@p7 @p167)) % 0.22/0.50 (step @p169 :rule eq-symm :args (@t94 @t96)) % 0.22/0.50 (step @p170 :rule cong :premises (@p99) :args (@t174)) % 0.22/0.50 (step @p171 :rule eq-symm :args (@t175 @t176)) % 0.22/0.50 (step @p172 :rule cong :premises (@p171) :args (@t178)) % 0.22/0.50 (step @p173 :rule nary_cong :premises (@p172 @p170 @p169) :args (@t179)) % 0.22/0.50 (step @p174 :rule refl :args (@t183)) % 0.22/0.50 (step @p175 :rule refl :args (@t188)) % 0.22/0.50 (step @p176 :rule nary_cong :premises (@p175 @p174 @p173) :args (@t189)) % 0.22/0.50 (step @p177 :rule refl :args (@t117)) % 0.22/0.50 (step @p178 :rule refl :args (@t118)) % 0.22/0.50 (step @p179 :rule nary_cong :premises (@p105 @p178 @p177 @p176) :args (@t190)) % 0.22/0.50 (step @p180 :rule refl :args (@t191)) % 0.22/0.50 (step @p181 :rule cong :premises (@p180 @p179) :args ((=> @t191 @t190))) % 0.22/0.50 (assume-push @p383 @t191) % 0.22/0.50 (step @p183 :rule instantiate :premises (@p168) :args (@t148)) % 0.22/0.50 (step-pop @p384 :rule scope :premises (@p183)) % 0.22/0.50 (step @p184 :rule process_scope :premises (@p384) :args (@t190)) % 0.22/0.50 (step @p186 :rule eq_resolve :premises (@p184 @p181)) % 0.22/0.50 (step @p187 :rule implies_elim :premises (@p186)) % 0.22/0.50 (step @p188 :rule chain_m_resolution :premises (@p187 @p168) :args (@t196 @t155 (@list @t191))) % 0.22/0.50 (step @p189 :rule cnf_or_neg :args (@t121 2)) % 0.22/0.50 (step @p190 :rule chain_m_resolution :premises (@p189 @p57) :args ((not @t117) @t122 @t123)) % 0.22/0.50 (step @p191 :rule cnf_or_neg :args (@t121 1)) % 0.22/0.50 (step @p192 :rule chain_m_resolution :premises (@p191 @p57) :args ((not @t118) @t122 @t123)) % 0.22/0.50 (step @p193 :rule cnf_or_pos :args (@t196)) % 0.22/0.50 (step @p194 :rule reordering :premises (@p193) :args ((or @t120 @t118 @t117 @t195 (not @t196)))) % 0.22/0.50 (step @p195 :rule chain_m_resolution :premises (@p194 @p122 @p192 @p190 @p188) :args (@t195 (@list false true true false) (@list @t119 @t118 @t117 @t196))) % 0.22/0.50 (step @p196 :rule cnf_and_pos :args (@t195 1)) % 0.22/0.50 (step @p197 :rule reordering :premises (@p196) :args ((or @t183 @t197))) % 0.22/0.50 (step @p198 :rule chain_m_resolution :premises (@p197 @p195) :args (@t183 @t155 @t198)) % 0.22/0.50 (step @p199 :rule cnf_or_pos :args (@t183)) % 0.22/0.50 (step @p200 :rule reordering :premises (@p199) :args ((or @t97 @t182 @t180 (not @t183)))) % 0.22/0.50 (step @p201 :rule instantiate :premises (@p2) :args ((@list @t176 @t175))) % 0.22/0.50 (step @p202 :rule cnf_equiv_pos2 :args (@t200)) % 0.22/0.50 (step @p203 :rule reordering :premises (@p202) :args ((or @t181 (not @t199) (not @t200)))) % 0.22/0.50 (step @p204 :rule cnf_or_neg :args (@t199 0)) % 0.22/0.50 (step @p205 :rule reordering :premises (@p204) :args ((or @t187 @t199))) % 0.22/0.50 (step @p206 :rule cnf_or_neg :args (@t199 1)) % 0.22/0.50 (step @p207 :rule reordering :premises (@p206) :args ((or @t194 @t199))) % 0.22/0.50 (step @p208 :rule aci_norm :args ((= (or (or @t204 @t202) @t161) @t205))) % 0.22/0.50 (step @p209 :rule refl :args (@t161)) % 0.22/0.50 (step @p210 :rule bool-and-de-morgan :args (@t203 @t201 true)) % 0.22/0.50 (step @p211 :rule nary_cong :premises (@p210 @p209) :args ((or (not @t206) @t161))) % 0.22/0.50 (step @p212 :rule trans :premises (@p211 @p208)) % 0.22/0.50 (step @p213 :rule bool-impl-elim :args (@t206 @t161)) % 0.22/0.50 (step @p214 :rule trans :premises (@p213 @p212)) % 0.22/0.50 (step @p215 :rule aci_norm :args ((= (or (or @t208 @t207) @t47) @t209))) % 0.22/0.50 (step @p216 :rule refl :args (@t47)) % 0.22/0.50 (step @p217 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 0.22/0.50 (step @p218 :rule nary_cong :premises (@p217 @p216) :args ((or (not @t50) @t47))) % 0.22/0.50 (step @p219 :rule trans :premises (@p218 @p215)) % 0.22/0.50 (step @p220 :rule bool-impl-elim :args (@t50 @t47)) % 0.22/0.50 (step @p221 :rule trans :premises (@p220 @p219)) % 0.22/0.50 (step @p222 :rule aci_norm :args ((= (or (or @t79 @t75) @t28) @t210))) % 0.22/0.50 (step @p223 :rule refl :args (@t28)) % 0.22/0.50 (step @p224 :rule bool-and-de-morgan :args (@t53 @t52 true)) % 0.22/0.50 (step @p225 :rule nary_cong :premises (@p224 @p223) :args ((or (not @t54) @t28))) % 0.22/0.50 (step @p226 :rule trans :premises (@p225 @p222)) % 0.22/0.50 (step @p227 :rule bool-impl-elim :args (@t54 @t28)) % 0.22/0.50 (step @p228 :rule trans :premises (@p227 @p226)) % 0.22/0.50 (step @p229 :rule nary_cong :premises (@p228 @p221 @p214) :args (@t211)) % 0.22/0.50 (step @p230 :rule nary_cong :premises (@p41 @p229) :args ((or @t82 @t211))) % 0.22/0.50 (step @p231 :rule bool-impl-elim :args (@t36 @t211)) % 0.22/0.50 (step @p232 :rule trans :premises (@p231 @p230)) % 0.22/0.50 (step @p233 :rule cong :premises (@p232) :args ((forall @t39 (=> @t36 @t211)))) % 0.22/0.50 (step @p234 :rule eq-symm :args (@t42 @t41)) % 0.22/0.50 (step @p235 :rule eq-symm :args (@t44 @t43)) % 0.22/0.50 (step @p236 :rule nary_cong :premises (@p235 @p234) :args (@t45)) % 0.22/0.50 (step @p237 :rule cong :premises (@p236 @p158) :args (@t46)) % 0.22/0.50 (step @p238 :rule refl :args (@t51)) % 0.22/0.50 (step @p239 :rule refl :args (@t55)) % 0.22/0.50 (step @p240 :rule nary_cong :premises (@p239 @p238 @p237) :args (@t56)) % 0.22/0.50 (step @p241 :rule cong :premises (@p94 @p240) :args (@t57)) % 0.22/0.50 (step @p242 :rule cong :premises (@p241) :args (@t58)) % 0.22/0.50 (step @p243 :rule trans :premises (@p242 @p233)) % 0.22/0.50 (step @p244 :rule eq_resolve :premises (@p8 @p243)) % 0.22/0.50 (step @p245 :rule eq-symm :args (@t102 @t103)) % 0.22/0.50 (step @p246 :rule cong :premises (@p245) :args (@t212)) % 0.22/0.50 (step @p247 :rule eq-symm :args (@t106 @t107)) % 0.22/0.50 (step @p248 :rule cong :premises (@p247) :args (@t213)) % 0.22/0.50 (step @p249 :rule nary_cong :premises (@p248 @p246 @p171) :args (@t214)) % 0.22/0.50 (step @p250 :rule refl :args (@t217)) % 0.22/0.50 (step @p251 :rule refl :args (@t218)) % 0.22/0.50 (step @p252 :rule nary_cong :premises (@p251 @p250 @p249) :args (@t219)) % 0.22/0.50 (step @p253 :rule nary_cong :premises (@p105 @p252) :args (@t220)) % 0.22/0.50 (step @p254 :rule refl :args (@t221)) % 0.22/0.50 (step @p255 :rule cong :premises (@p254 @p253) :args ((=> @t221 @t220))) % 0.22/0.50 (assume-push @p385 @t221) % 0.22/0.50 (step @p257 :rule instantiate :premises (@p244) :args (@t148)) % 0.22/0.50 (step-pop @p386 :rule scope :premises (@p257)) % 0.22/0.50 (step @p258 :rule process_scope :premises (@p386) :args (@t220)) % 0.22/0.50 (step @p260 :rule eq_resolve :premises (@p258 @p255)) % 0.22/0.50 (step @p261 :rule implies_elim :premises (@p260)) % 0.22/0.50 (step @p262 :rule chain_m_resolution :premises (@p261 @p244) :args (@t226 @t155 (@list @t221))) % 0.22/0.50 (step @p263 :rule cnf_or_pos :args (@t226)) % 0.22/0.50 (step @p264 :rule reordering :premises (@p263) :args ((or @t120 @t225 (not @t226)))) % 0.22/0.50 (step @p265 :rule chain_m_resolution :premises (@p264 @p122 @p262) :args (@t225 @t156 (@list @t119 @t226))) % 0.22/0.50 (step @p266 :rule cnf_and_pos :args (@t225 0)) % 0.22/0.50 (step @p267 :rule reordering :premises (@p266) :args ((or @t218 @t227))) % 0.22/0.50 (step @p268 :rule chain_m_resolution :premises (@p267 @p265) :args (@t218 @t155 @t228)) % 0.22/0.50 (step @p269 :rule cnf_or_pos :args (@t218)) % 0.22/0.50 (step @p270 :rule reordering :premises (@p269) :args ((or @t114 @t105 @t186 (not @t218)))) % 0.22/0.50 (step @p271 :rule eq-symm :args (@t229 @t186)) % 0.22/0.50 (step @p272 :rule refl :args (@t8)) % 0.22/0.50 (step @p273 :rule cong :premises (@p272 @p271) :args ((=> @t8 @t230))) % 0.22/0.50 (assume-push @p387 @t8) % 0.22/0.50 (step @p275 :rule instantiate :premises (@p3) :args ((@list @t175 @t176))) % 0.22/0.50 (step-pop @p388 :rule scope :premises (@p275)) % 0.22/0.50 (step @p276 :rule process_scope :premises (@p388) :args (@t230)) % 0.22/0.50 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 0.22/0.50 (step @p279 :rule implies_elim :premises (@p278)) % 0.22/0.50 (step @p280 :rule chain_m_resolution :premises (@p279 @p3) :args (@t231 @t155 (@list @t8))) % 0.22/0.50 (step @p281 :rule cnf_equiv_pos2 :args (@t231)) % 0.22/0.50 (step @p282 :rule reordering :premises (@p281) :args ((or @t186 (not @t229) (not @t231)))) % 0.22/0.50 (step @p283 :rule cnf_or_pos :args (@t127)) % 0.22/0.50 (step @p284 :rule reordering :premises (@p283) :args ((or @t113 @t126 @t232))) % 0.22/0.50 (step @p285 :rule cnf_or_neg :args (@t233 1)) % 0.22/0.50 (step @p286 :rule reordering :premises (@p285) :args ((or @t223 @t233))) % 0.22/0.50 (step @p287 :rule cnf_and_pos :args (@t225 2)) % 0.22/0.50 (step @p288 :rule reordering :premises (@p287) :args ((or @t224 @t227))) % 0.22/0.50 (step @p289 :rule chain_m_resolution :premises (@p288 @p265) :args (@t224 @t155 @t228)) % 0.22/0.50 (step @p290 :rule cnf_or_pos :args (@t224)) % 0.22/0.50 (step @p291 :rule reordering :premises (@p290) :args ((or @t193 @t223 @t222 (not @t224)))) % 0.22/0.50 (step @p292 :rule instantiate :premises (@p1) :args (@t125)) % 0.22/0.50 (step @p293 :rule cnf_equiv_pos2 :args (@t234)) % 0.22/0.50 (step @p294 :rule reordering :premises (@p293) :args ((or @t215 (not @t233) (not @t234)))) % 0.22/0.50 (step @p295 :rule cnf_or_pos :args (@t133)) % 0.22/0.50 (step @p296 :rule reordering :premises (@p295) :args ((or @t132 @t131 (not @t133)))) % 0.22/0.50 (step @p297 :rule instantiate :premises (@p3) :args (@t130)) % 0.22/0.50 (step @p298 :rule cnf_equiv_pos1 :args (@t236)) % 0.22/0.50 (step @p299 :rule reordering :premises (@p298) :args ((or (not @t132) @t235 (not @t236)))) % 0.22/0.50 (step @p300 :rule instantiate :premises (@p244) :args ((@list @t93 @t95 @t92))) % 0.22/0.50 (step @p301 :rule cnf_or_pos :args (@t242)) % 0.22/0.50 (step @p302 :rule reordering :premises (@p301) :args ((or @t120 @t241 (not @t242)))) % 0.22/0.50 (step @p303 :rule chain_m_resolution :premises (@p302 @p122 @p300) :args (@t241 @t156 (@list @t119 @t242))) % 0.22/0.50 (step @p304 :rule cnf_and_pos :args (@t241 1)) % 0.22/0.50 (step @p305 :rule reordering :premises (@p304) :args ((or @t240 (not @t241)))) % 0.22/0.50 (step @p306 :rule chain_m_resolution :premises (@p305 @p303) :args (@t240 @t155 (@list @t241))) % 0.22/0.50 (step @p307 :rule cnf_or_pos :args (@t240)) % 0.22/0.50 (step @p308 :rule reordering :premises (@p307) :args ((or @t229 @t239 @t237 (not @t240)))) % 0.22/0.50 (assume-push @p389 @t126) % 0.22/0.50 (assume-push @p390 @t215) % 0.22/0.50 (assume-push @p391 @t215) % 0.22/0.50 (assume-push @p392 @t126) % 0.22/0.50 (step @p313 :rule true_intro :premises (@p390)) % 0.22/0.50 (step @p314 :rule refl :args (@t107)) % 0.22/0.50 (step @p315 :rule cong :premises (@p314 @p389) :args ((tptp.smaller_or_equal @t107 @t107))) % 0.22/0.50 (step @p316 :rule symm :premises (@p389)) % 0.22/0.50 (step @p317 :rule cong :premises (@p316 @p314) :args (@t238)) % 0.22/0.50 (step @p318 :rule trans :premises (@p317 @p315 @p313)) % 0.22/0.50 (step @p319 :rule true_elim :premises (@p318)) % 0.22/0.50 (step-pop @p393 :rule scope :premises (@p319)) % 0.22/0.50 (step-pop @p394 :rule scope :premises (@p393)) % 0.22/0.50 (step @p320 :rule process_scope :premises (@p394) :args (@t238)) % 0.22/0.50 (step @p323 :rule and_intro :premises (@p390 @p389)) % 0.22/0.50 (step @p324 :rule modus_ponens :premises (@p323 @p320)) % 0.22/0.50 (step-pop @p395 :rule scope :premises (@p324)) % 0.22/0.50 (step-pop @p396 :rule scope :premises (@p395)) % 0.22/0.50 (step @p325 :rule process_scope :premises (@p396) :args (@t238)) % 0.22/0.50 (step @p328 :rule implies_elim :premises (@p325)) % 0.22/0.50 (step @p329 :rule cnf_and_neg :args (@t243)) % 0.22/0.50 (step @p330 :rule resolution :premises (@p329 @p328) :args (true @t243)) % 0.22/0.50 (step @p331 :rule reordering :premises (@p330) :args ((or @t216 @t223 @t238))) % 0.22/0.50 (step @p332 :rule chain_m_resolution :premises (@p331 @p308 @p306 @p299 @p297 @p296 @p294 @p292 @p291 @p289 @p286 @p284 @p282 @p280 @p270 @p268 @p207 @p205 @p203 @p201 @p200 @p198 @p130 @p128 @p81 @p79 @p78 @p76 @p75 @p70 @p65) :args ((or @t97 @t110) (@list true false false false false false false true false false false true false true false true true true false true false false false false false false false false false false) (@list @t238 @t240 @t235 @t236 @t132 @t215 @t234 @t131 @t224 @t233 @t126 @t229 @t231 @t113 @t218 @t193 @t186 @t199 @t200 @t181 @t183 @t143 @t144 @t133 @t134 @t127 @t128 @t100 @t104 @t108))) % 0.22/0.51 (step @p333 :rule cnf_and_neg :args (@t116)) % 0.22/0.51 (step @p334 :rule bool-double-not-elim :args (@t113)) % 0.22/0.51 (step @p335 :rule refl :args (@t115)) % 0.22/0.51 (step @p336 :rule nary_cong :premises (@p335 @p334) :args ((or @t115 (not @t114)))) % 0.22/0.51 (step @p337 :rule cnf_or_neg :args (@t115 0)) % 0.22/0.51 (step @p338 :rule eq_resolve :premises (@p337 @p336)) % 0.22/0.51 (step @p339 :rule reordering :premises (@p338) :args ((or @t113 @t115))) % 0.22/0.51 (step @p340 :rule nary_cong :premises (@p335 @p66) :args ((or @t115 @t124))) % 0.22/0.51 (step @p341 :rule cnf_or_neg :args (@t115 1)) % 0.22/0.51 (step @p342 :rule eq_resolve :premises (@p341 @p340)) % 0.22/0.51 (step @p343 :rule reordering :premises (@p342) :args ((or @t104 @t115))) % 0.22/0.51 (step @p344 :rule bool-double-not-elim :args (@t111)) % 0.22/0.51 (step @p345 :rule nary_cong :premises (@p335 @p344) :args ((or @t115 (not @t112)))) % 0.22/0.51 (step @p346 :rule cnf_or_neg :args (@t115 2)) % 0.22/0.51 (step @p347 :rule eq_resolve :premises (@p346 @p345)) % 0.22/0.51 (step @p348 :rule reordering :premises (@p347) :args ((or @t111 @t115))) % 0.22/0.51 (step @p349 :rule cnf_or_neg :args (@t127 0)) % 0.22/0.51 (step @p350 :rule reordering :premises (@p349) :args ((or @t114 @t127))) % 0.22/0.51 (step @p351 :rule instantiate :premises (@p2) :args ((@list @t99 @t98))) % 0.22/0.51 (step @p352 :rule cnf_equiv_pos1 :args (@t245)) % 0.22/0.51 (step @p353 :rule reordering :premises (@p352) :args ((or @t112 @t244 (not @t245)))) % 0.22/0.51 (step @p354 :rule cnf_equiv_pos2 :args (@t128)) % 0.22/0.51 (step @p355 :rule reordering :premises (@p354) :args ((or @t108 @t232 @t129))) % 0.22/0.51 (step @p356 :rule cnf_and_pos :args (@t195 0)) % 0.22/0.51 (step @p357 :rule reordering :premises (@p356) :args ((or @t188 @t197))) % 0.22/0.51 (step @p358 :rule chain_m_resolution :premises (@p357 @p195) :args (@t188 @t155 @t198)) % 0.22/0.51 (step @p359 :rule cnf_or_pos :args (@t188)) % 0.22/0.51 (step @p360 :rule reordering :premises (@p359) :args ((or @t97 @t187 @t185 (not @t188)))) % 0.22/0.51 (step @p361 :rule cnf_or_pos :args (@t110)) % 0.22/0.51 (step @p362 :rule reordering :premises (@p361) :args ((or @t105 @t97 @t109 @t101 (not @t110)))) % 0.22/0.51 (step @p363 :rule instantiate :premises (@p2) :args ((@list @t139 @t138))) % 0.22/0.51 (step @p364 :rule cnf_equiv_pos2 :args (@t247)) % 0.22/0.51 (step @p365 :rule reordering :premises (@p364) :args ((or @t184 (not @t246) (not @t247)))) % 0.22/0.51 (step @p366 :rule cnf_or_pos :args (@t244)) % 0.22/0.51 (step @p367 :rule reordering :premises (@p366) :args ((or @t100 @t150 (not @t244)))) % 0.22/0.51 (step @p368 :rule cnf_or_neg :args (@t246 1)) % 0.22/0.51 (step @p369 :rule reordering :premises (@p368) :args ((or @t192 @t246))) % 0.22/0.51 (step @p370 :rule cnf_and_pos :args (@t153 1)) % 0.22/0.51 (step @p371 :rule reordering :premises (@p370) :args ((or @t152 @t157))) % 0.22/0.51 (step @p372 :rule chain_m_resolution :premises (@p371 @p125) :args (@t152 @t155 @t158)) % 0.22/0.51 (step @p373 :rule cnf_or_pos :args (@t152)) % 0.22/0.51 (step @p374 :rule reordering :premises (@p373) :args ((or @t149 @t151 (not @t152)))) % 0.22/0.51 (step @p375 :rule chain_m_resolution :premises (@p374 @p372 @p369 @p367 @p365 @p363 @p362 @p360 @p358 @p355 @p76 @p353 @p351 @p270 @p268 @p350 @p348 @p343 @p339 @p333 @p59 @p332) :args (@t97 (@list false true false true false true true false false false false false false false false false false false true true false) (@list @t152 @t149 @t150 @t246 @t247 @t100 @t184 @t188 @t108 @t128 @t244 @t245 @t186 @t218 @t127 @t111 @t104 @t113 @t115 @t116 @t110))) % 0.22/0.51 (step @p376 :rule cnf_or_neg :args (@t115 3)) % 0.22/0.51 (step @p377 :rule chain_m_resolution :premises (@p376 @p375) :args (@t115 @t155 @t248)) % 0.22/0.51 (step @p378 :rule cnf_or_neg :args (@t110 3)) % 0.22/0.51 (step @p379 :rule chain_m_resolution :premises (@p378 @p375) :args (@t110 @t155 @t248)) % 0.22/0.51 (step @p380 false :rule chain_m_resolution :premises (@p333 @p379 @p377 @p59) :args (false (@list false false true) (@list @t110 @t115 @t116))) % 0.22/0.51 ) % 0.22/0.51 % SZS output end Proof % 0.22/0.51 % cvc5 exiting %------------------------------------------------------------------------------