%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU031+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:50:29 AM UTC 2026 % Result : Theorem 16.59s 16.87s % Output : Proof 16.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU031+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n023.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:24:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 16.59/16.87 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.59/16.87 --- Run --no-e-matching --full-saturate-quant at 6... % 16.59/16.87 % SZS status Theorem % 16.59/16.87 % SZS output start Proof % 16.59/16.87 ( % 16.59/16.87 (declare-sort $$unsorted 0) % 16.59/16.87 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.59/16.87 (declare-const tptp.identity_relation (-> $$unsorted $$unsorted)) % 16.59/16.87 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 16.59/16.87 (declare-const tptp.function (-> $$unsorted Bool)) % 16.59/16.87 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 16.59/16.87 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.59/16.87 (declare-const tptp.relation (-> $$unsorted Bool)) % 16.59/16.87 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 16.59/16.87 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 16.59/16.87 (declare-const tptp.empty_set $$unsorted) % 16.59/16.87 (declare-const tptp.function_inverse (-> $$unsorted $$unsorted)) % 16.59/16.87 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 16.59/16.87 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 16.59/16.87 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 16.59/16.87 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 16.59/16.87 (define @t1 () (@var "A" $$unsorted)) % 16.59/16.87 (define @t2 () (@var "B" $$unsorted)) % 16.59/16.87 (define @t3 () (tptp.in @t1 @t2)) % 16.59/16.87 (define @t4 () (@list @t1 @t2)) % 16.59/16.87 (define @t5 () (tptp.function @t1)) % 16.59/16.87 (define @t6 () (tptp.empty @t1)) % 16.59/16.87 (define @t7 () (@list @t1)) % 16.59/16.87 (define @t8 () (tptp.relation @t1)) % 16.59/16.87 (define @t9 () (tptp.one_to_one @t1)) % 16.59/16.87 (define @t10 () (and @t8 @t5 @t9)) % 16.59/16.87 (define @t11 () (and @t8 @t6 @t5)) % 16.59/16.87 (define @t12 () (tptp.function_inverse @t1)) % 16.59/16.87 (define @t13 () (and (tptp.relation @t12) (tptp.function @t12))) % 16.59/16.87 (define @t14 () (and @t8 @t5)) % 16.59/16.87 (define @t15 () (forall @t7 (=> @t14 @t13))) % 16.59/16.87 (define @t16 () (tptp.relation_composition @t1 @t2)) % 16.59/16.87 (define @t17 () (tptp.relation @t16)) % 16.59/16.87 (define @t18 () (tptp.relation @t2)) % 16.59/16.87 (define @t19 () (tptp.identity_relation @t1)) % 16.59/16.87 (define @t20 () (tptp.relation @t19)) % 16.59/16.87 (define @t21 () (@list @t2)) % 16.59/16.87 (define @t22 () (tptp.relation_composition @t2 @t1)) % 16.59/16.87 (define @t23 () (and @t6 @t18)) % 16.59/16.87 (define @t24 () (tptp.relation tptp.empty_set)) % 16.59/16.87 (define @t25 () (tptp.empty tptp.empty_set)) % 16.59/16.87 (define @t26 () (tptp.function @t2)) % 16.59/16.87 (define @t27 () (tptp.powerset @t1)) % 16.59/16.87 (define @t28 () (tptp.relation_dom @t1)) % 16.59/16.87 (define @t29 () (tptp.empty @t28)) % 16.59/16.87 (define @t30 () (not @t6)) % 16.59/16.87 (define @t31 () (and @t30 @t8)) % 16.59/16.87 (define @t32 () (tptp.relation_rng @t1)) % 16.59/16.87 (define @t33 () (tptp.empty @t32)) % 16.59/16.87 (define @t34 () (@var "D" $$unsorted)) % 16.59/16.87 (define @t35 () (@var "C" $$unsorted)) % 16.59/16.87 (define @t36 () (tptp.relation_composition @t35 @t34)) % 16.59/16.87 (define @t37 () (tptp.relation_composition @t2 @t35)) % 16.59/16.87 (define @t38 () (= @t37 (tptp.identity_relation (tptp.relation_dom @t34)))) % 16.59/16.87 (define @t39 () (tptp.relation_rng @t2)) % 16.59/16.87 (define @t40 () (and (= @t39 @t1) @t38 (= @t36 @t19))) % 16.59/16.87 (define @t41 () (=> @t40 (= @t34 @t2))) % 16.59/16.87 (define @t42 () (tptp.function @t34)) % 16.59/16.87 (define @t43 () (tptp.relation @t34)) % 16.59/16.87 (define @t44 () (and @t43 @t42)) % 16.59/16.87 (define @t45 () (=> @t44 @t41)) % 16.59/16.87 (define @t46 () (@list @t34)) % 16.59/16.87 (define @t47 () (forall @t46 @t45)) % 16.59/16.87 (define @t48 () (tptp.function @t35)) % 16.59/16.87 (define @t49 () (tptp.relation @t35)) % 16.59/16.87 (define @t50 () (and @t49 @t48)) % 16.59/16.87 (define @t51 () (=> @t50 @t47)) % 16.59/16.87 (define @t52 () (@list @t35)) % 16.59/16.87 (define @t53 () (forall @t52 @t51)) % 16.59/16.87 (define @t54 () (and @t18 @t26)) % 16.59/16.87 (define @t55 () (=> @t54 @t53)) % 16.59/16.87 (define @t56 () (forall @t4 @t55)) % 16.59/16.87 (define @t57 () (tptp.empty @t2)) % 16.59/16.87 (define @t58 () (tptp.element @t2 @t27)) % 16.59/16.87 (define @t59 () (tptp.element @t1 @t2)) % 16.59/16.87 (define @t60 () (tptp.element @t2 (tptp.powerset @t35))) % 16.59/16.87 (define @t61 () (@list @t1 @t2 @t35)) % 16.59/16.87 (define @t62 () (and (= @t32 (tptp.relation_dom @t12)) (= @t28 (tptp.relation_rng @t12)))) % 16.59/16.87 (define @t63 () (=> @t9 @t62)) % 16.59/16.87 (define @t64 () (forall @t7 (=> @t14 @t63))) % 16.59/16.87 (define @t65 () (tptp.identity_relation @t32)) % 16.59/16.87 (define @t66 () (and (= (tptp.relation_composition @t1 @t12) (tptp.identity_relation @t28)) (= (tptp.relation_composition @t12 @t1) @t65))) % 16.59/16.87 (define @t67 () (=> @t9 @t66)) % 16.59/16.87 (define @t68 () (forall @t7 (=> @t14 @t67))) % 16.59/16.87 (define @t69 () (= @t2 @t12)) % 16.59/16.87 (define @t70 () (= @t22 @t65)) % 16.59/16.87 (define @t71 () (and @t9 (= @t39 @t28) @t70)) % 16.59/16.87 (define @t72 () (=> @t71 @t69)) % 16.59/16.87 (define @t73 () (=> @t54 @t72)) % 16.59/16.87 (define @t74 () (forall @t21 @t73)) % 16.59/16.87 (define @t75 () (=> @t14 @t74)) % 16.59/16.87 (define @t76 () (forall @t7 @t75)) % 16.59/16.87 (define @t77 () (not @t76)) % 16.59/16.87 (define @t78 () (@var "BOUND_VARIABLE_7917" $$unsorted)) % 16.59/16.87 (define @t79 () (tptp.relation_composition @t78 @t1)) % 16.59/16.87 (define @t80 () (not (= @t79 @t65))) % 16.59/16.87 (define @t81 () (not (= @t28 (tptp.relation_rng @t78)))) % 16.59/16.87 (define @t82 () (not (tptp.function @t78))) % 16.59/16.87 (define @t83 () (not (tptp.relation @t78))) % 16.59/16.87 (define @t84 () (not @t9)) % 16.59/16.87 (define @t85 () (not @t5)) % 16.59/16.87 (define @t86 () (not @t8)) % 16.59/16.87 (define @t87 () (= @t78 @t12)) % 16.59/16.87 (define @t88 () (or @t86 @t85 @t84 @t83 @t82 @t81 @t80 @t87)) % 16.59/16.87 (define @t89 () (or @t83 @t82 @t81 @t80 @t87)) % 16.59/16.87 (define @t90 () (or @t86 @t85 @t84 @t89)) % 16.59/16.87 (define @t91 () (@list @t1 @t78)) % 16.59/16.87 (define @t92 () (forall @t91 @t90)) % 16.59/16.87 (define @t93 () (@list @t78)) % 16.59/16.87 (define @t94 () (forall @t93 @t90)) % 16.59/16.87 (define @t95 () (forall @t93 @t89)) % 16.59/16.87 (define @t96 () (or @t86 @t85 @t84 @t95)) % 16.59/16.87 (define @t97 () (not @t70)) % 16.59/16.87 (define @t98 () (= @t28 @t39)) % 16.59/16.87 (define @t99 () (not @t98)) % 16.59/16.87 (define @t100 () (not @t26)) % 16.59/16.87 (define @t101 () (not @t18)) % 16.59/16.87 (define @t102 () (or @t101 @t100 @t99 @t97 @t69)) % 16.59/16.87 (define @t103 () (forall @t21 @t102)) % 16.59/16.87 (define @t104 () (or @t86 @t85 @t84 @t103)) % 16.59/16.87 (define @t105 () (or @t84 @t103)) % 16.59/16.87 (define @t106 () (or @t86 @t85)) % 16.59/16.87 (define @t107 () (not @t14)) % 16.59/16.87 (define @t108 () (or @t84 @t102)) % 16.59/16.87 (define @t109 () (or @t101 @t100 @t84 @t99 @t97 @t69)) % 16.59/16.87 (define @t110 () (or @t84 @t99 @t97 @t69)) % 16.59/16.87 (define @t111 () (or @t101 @t100)) % 16.59/16.87 (define @t112 () (or @t84 @t99 @t97)) % 16.59/16.87 (define @t113 () (and @t9 @t98 @t70)) % 16.59/16.87 (define @t114 () (=> @t113 @t69)) % 16.59/16.87 (define @t115 () (not @t54)) % 16.59/16.87 (define @t116 () (forall @t91 (or @t86 @t85 @t84 @t83 @t82 @t81 (not (= @t65 @t79)) (= @t12 @t78)))) % 16.59/16.87 (define @t117 () (@quantifiers_skolemize @t116 0)) % 16.59/16.87 (define @t118 () (tptp.function_inverse @t117)) % 16.59/16.87 (define @t119 () (@quantifiers_skolemize @t116 1)) % 16.59/16.87 (define @t120 () (= @t119 @t118)) % 16.59/16.87 (define @t121 () (tptp.relation_composition @t119 @t117)) % 16.59/16.87 (define @t122 () (tptp.relation_rng @t117)) % 16.59/16.87 (define @t123 () (tptp.identity_relation @t122)) % 16.59/16.87 (define @t124 () (= @t123 @t121)) % 16.59/16.87 (define @t125 () (not @t124)) % 16.59/16.87 (define @t126 () (tptp.relation_rng @t119)) % 16.59/16.87 (define @t127 () (tptp.relation_dom @t117)) % 16.59/16.87 (define @t128 () (= @t127 @t126)) % 16.59/16.87 (define @t129 () (not @t128)) % 16.59/16.87 (define @t130 () (tptp.function @t119)) % 16.59/16.87 (define @t131 () (not @t130)) % 16.59/16.87 (define @t132 () (tptp.relation @t119)) % 16.59/16.87 (define @t133 () (not @t132)) % 16.59/16.87 (define @t134 () (tptp.one_to_one @t117)) % 16.59/16.87 (define @t135 () (not @t134)) % 16.59/16.87 (define @t136 () (tptp.function @t117)) % 16.59/16.87 (define @t137 () (not @t136)) % 16.59/16.87 (define @t138 () (tptp.relation @t117)) % 16.59/16.87 (define @t139 () (not @t138)) % 16.59/16.87 (define @t140 () (or @t139 @t137 @t135 @t133 @t131 @t129 @t125 @t120)) % 16.59/16.87 (define @t141 () (not @t140)) % 16.59/16.87 (define @t142 () (not @t116)) % 16.59/16.87 (define @t143 () (or @t139 @t137 @t135 @t133 @t131 @t129 @t125 (= @t118 @t119))) % 16.59/16.87 (define @t144 () (not @t143)) % 16.59/16.87 (define @t145 () (@list true)) % 16.59/16.87 (define @t146 () (@list @t140)) % 16.59/16.87 (define @t147 () (@list @t117)) % 16.59/16.87 (define @t148 () (tptp.function @t118)) % 16.59/16.87 (define @t149 () (tptp.relation @t118)) % 16.59/16.87 (define @t150 () (and @t149 @t148)) % 16.59/16.87 (define @t151 () (or @t139 @t137 @t150)) % 16.59/16.87 (define @t152 () (not @t150)) % 16.59/16.87 (define @t153 () (@list false)) % 16.59/16.87 (define @t154 () (@list @t150)) % 16.59/16.87 (define @t155 () (@var "BOUND_VARIABLE_7765" $$unsorted)) % 16.59/16.87 (define @t156 () (= @t2 @t155)) % 16.59/16.87 (define @t157 () (tptp.identity_relation @t39)) % 16.59/16.87 (define @t158 () (@var "BOUND_VARIABLE_7763" $$unsorted)) % 16.59/16.87 (define @t159 () (tptp.relation_composition @t158 @t155)) % 16.59/16.87 (define @t160 () (not (= @t159 @t157))) % 16.59/16.87 (define @t161 () (not (= (tptp.relation_composition @t2 @t158) (tptp.identity_relation (tptp.relation_dom @t155))))) % 16.59/16.87 (define @t162 () (not (tptp.function @t155))) % 16.59/16.87 (define @t163 () (not (tptp.relation @t155))) % 16.59/16.87 (define @t164 () (not (tptp.function @t158))) % 16.59/16.87 (define @t165 () (not (tptp.relation @t158))) % 16.59/16.87 (define @t166 () (not (= @t157 @t159))) % 16.59/16.87 (define @t167 () (not (= @t39 @t39))) % 16.59/16.87 (define @t168 () (or @t101 @t100 @t167 @t165 @t164 @t163 @t162 @t161 @t166 @t156)) % 16.59/16.87 (define @t169 () (@list @t2 @t158 @t155)) % 16.59/16.87 (define @t170 () (not (= @t19 @t159))) % 16.59/16.87 (define @t171 () (= @t1 @t39)) % 16.59/16.87 (define @t172 () (not @t171)) % 16.59/16.87 (define @t173 () (or @t172 @t101 @t100 @t172 @t165 @t164 @t163 @t162 @t161 @t170 @t156)) % 16.59/16.87 (define @t174 () (or @t101 @t100 @t172 @t165 @t164 @t163 @t162 @t161 @t170 @t156)) % 16.59/16.87 (define @t175 () (forall @t7 @t174)) % 16.59/16.87 (define @t176 () (forall @t169 @t175)) % 16.59/16.87 (define @t177 () (forall (@list @t2 @t158 @t155 @t1) @t174)) % 16.59/16.87 (define @t178 () (@list @t1 @t2 @t158 @t155)) % 16.59/16.87 (define @t179 () (or @t165 @t164 @t163 @t162 @t161 @t170 @t156)) % 16.59/16.87 (define @t180 () (or @t101 @t100 @t172 @t179)) % 16.59/16.87 (define @t181 () (forall @t178 @t180)) % 16.59/16.87 (define @t182 () (@list @t158 @t155)) % 16.59/16.87 (define @t183 () (forall @t182 @t180)) % 16.59/16.87 (define @t184 () (forall @t182 @t179)) % 16.59/16.87 (define @t185 () (@var "BOUND_VARIABLE_7736" $$unsorted)) % 16.59/16.87 (define @t186 () (or @t101 @t100 @t172 @t184)) % 16.59/16.87 (define @t187 () (= @t2 @t185)) % 16.59/16.87 (define @t188 () (not (= @t19 (tptp.relation_composition @t35 @t185)))) % 16.59/16.87 (define @t189 () (not (= @t37 (tptp.identity_relation (tptp.relation_dom @t185))))) % 16.59/16.87 (define @t190 () (not (tptp.function @t185))) % 16.59/16.87 (define @t191 () (not (tptp.relation @t185))) % 16.59/16.87 (define @t192 () (not @t48)) % 16.59/16.87 (define @t193 () (not @t49)) % 16.59/16.87 (define @t194 () (or @t193 @t192 @t191 @t190 @t189 @t188 @t187)) % 16.59/16.87 (define @t195 () (@list @t35 @t185)) % 16.59/16.87 (define @t196 () (forall @t195 @t194)) % 16.59/16.87 (define @t197 () (or @t101 @t100 @t172 @t196)) % 16.59/16.87 (define @t198 () (or @t172 @t196)) % 16.59/16.87 (define @t199 () (or @t191 @t190 @t189 @t188 @t187)) % 16.59/16.87 (define @t200 () (or @t193 @t192 @t199)) % 16.59/16.87 (define @t201 () (forall @t195 @t200)) % 16.59/16.87 (define @t202 () (@list @t185)) % 16.59/16.87 (define @t203 () (forall @t202 @t200)) % 16.59/16.87 (define @t204 () (forall @t202 @t199)) % 16.59/16.87 (define @t205 () (or @t193 @t192 @t204)) % 16.59/16.87 (define @t206 () (= @t2 @t34)) % 16.59/16.87 (define @t207 () (= @t19 @t36)) % 16.59/16.87 (define @t208 () (not @t207)) % 16.59/16.87 (define @t209 () (not @t38)) % 16.59/16.87 (define @t210 () (not @t42)) % 16.59/16.87 (define @t211 () (not @t43)) % 16.59/16.87 (define @t212 () (or @t211 @t210 @t209 @t208 @t206)) % 16.59/16.87 (define @t213 () (forall @t46 @t212)) % 16.59/16.87 (define @t214 () (or @t193 @t192 @t213)) % 16.59/16.87 (define @t215 () (forall @t52 @t214)) % 16.59/16.87 (define @t216 () (or @t172 @t215)) % 16.59/16.87 (define @t217 () (or @t172 @t214)) % 16.59/16.87 (define @t218 () (or @t193 @t192 @t172 @t213)) % 16.59/16.87 (define @t219 () (or @t172 @t213)) % 16.59/16.87 (define @t220 () (or @t172 @t212)) % 16.59/16.87 (define @t221 () (or @t211 @t210 @t172 @t209 @t208 @t206)) % 16.59/16.87 (define @t222 () (or @t172 @t209 @t208 @t206)) % 16.59/16.87 (define @t223 () (or @t172 @t209 @t208)) % 16.59/16.87 (define @t224 () (and @t171 @t38 @t207)) % 16.59/16.87 (define @t225 () (=> @t224 @t206)) % 16.59/16.87 (define @t226 () (tptp.identity_relation @t127)) % 16.59/16.87 (define @t227 () (or @t86 @t85 @t84 @t66)) % 16.59/16.87 (define @t228 () (tptp.relation_composition @t118 @t117)) % 16.59/16.87 (define @t229 () (tptp.relation_composition @t117 @t118)) % 16.59/16.87 (define @t230 () (and (= @t229 @t226) (= @t228 @t123))) % 16.59/16.87 (define @t231 () (or @t139 @t137 @t135 @t230)) % 16.59/16.87 (define @t232 () (forall @t7 @t227)) % 16.59/16.87 (define @t233 () (= @t226 @t229)) % 16.59/16.87 (define @t234 () (and @t233 (= @t123 @t228))) % 16.59/16.87 (define @t235 () (or @t139 @t137 @t135 @t234)) % 16.59/16.87 (define @t236 () (@list false false false false)) % 16.59/16.87 (define @t237 () (tptp.relation_dom @t118)) % 16.59/16.87 (define @t238 () (= @t122 @t237)) % 16.59/16.87 (define @t239 () (and @t238 (= @t127 (tptp.relation_rng @t118)))) % 16.59/16.87 (define @t240 () (or @t139 @t137 @t135 @t239)) % 16.59/16.87 (define @t241 () (= @t229 (tptp.identity_relation @t126))) % 16.59/16.87 (define @t242 () (not @t241)) % 16.59/16.87 (define @t243 () (= @t121 (tptp.identity_relation @t237))) % 16.59/16.87 (define @t244 () (not @t243)) % 16.59/16.87 (define @t245 () (not @t148)) % 16.59/16.87 (define @t246 () (not @t149)) % 16.59/16.87 (define @t247 () (or @t133 @t131 @t139 @t137 @t246 @t245 @t244 @t242 @t120)) % 16.59/16.87 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 16.59/16.87 (assume @p2 (forall @t7 (=> @t6 @t5))) % 16.59/16.87 (assume @p3 (forall @t7 (=> @t6 @t8))) % 16.59/16.87 (assume @p4 (forall @t7 (=> @t11 @t10))) % 16.59/16.87 (assume @p5 @t15) % 16.59/16.87 (assume @p6 (forall @t4 (=> (and @t8 @t18) @t17))) % 16.59/16.87 (assume @p7 (forall @t7 @t20)) % 16.59/16.87 (assume @p8 (forall @t7 (exists @t21 (tptp.element @t2 @t1)))) % 16.59/16.87 (assume @p9 (forall @t4 (=> @t23 (and (tptp.empty @t22) (tptp.relation @t22))))) % 16.59/16.87 (assume @p10 (and @t25 @t24 (tptp.relation_empty_yielding tptp.empty_set))) % 16.59/16.87 (assume @p11 (forall @t4 (=> (and @t8 @t5 @t18 @t26) (and @t17 (tptp.function @t16))))) % 16.59/16.87 (assume @p12 (forall @t7 (not (tptp.empty @t27)))) % 16.59/16.87 (assume @p13 @t25) % 16.59/16.87 (assume @p14 (forall @t7 (and @t20 (tptp.function @t19)))) % 16.59/16.87 (assume @p15 (and @t25 @t24)) % 16.59/16.87 (assume @p16 (forall @t7 (=> @t31 (not @t29)))) % 16.59/16.87 (assume @p17 (forall @t7 (=> @t31 (not @t33)))) % 16.59/16.87 (assume @p18 (forall @t7 (=> @t6 (and @t29 (tptp.relation @t28))))) % 16.59/16.87 (assume @p19 (forall @t7 (=> @t6 (and @t33 (tptp.relation @t32))))) % 16.59/16.87 (assume @p20 (forall @t4 (=> @t23 (and (tptp.empty @t16) @t17)))) % 16.59/16.87 (assume @p21 @t56) % 16.59/16.87 (assume @p22 (exists @t7 @t14)) % 16.59/16.87 (assume @p23 (exists @t7 (and @t6 @t8))) % 16.59/16.87 (assume @p24 (forall @t7 (=> @t30 (exists @t21 (and @t58 (not @t57)))))) % 16.59/16.87 (assume @p25 (exists @t7 @t6)) % 16.59/16.87 (assume @p26 (exists @t7 @t11)) % 16.59/16.87 (assume @p27 (exists @t7 @t31)) % 16.59/16.87 (assume @p28 (forall @t7 (exists @t21 (and @t58 @t57)))) % 16.59/16.87 (assume @p29 (exists @t7 @t30)) % 16.59/16.87 (assume @p30 (exists @t7 @t10)) % 16.59/16.87 (assume @p31 (exists @t7 (and @t8 (tptp.relation_empty_yielding @t1)))) % 16.59/16.87 (assume @p32 (forall @t4 (tptp.subset @t1 @t1))) % 16.59/16.87 (assume @p33 (forall @t4 (=> @t3 @t59))) % 16.59/16.87 (assume @p34 (forall @t4 (=> @t59 (or @t57 @t3)))) % 16.59/16.87 (assume @p35 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 16.59/16.87 (assume @p36 (forall @t61 (=> (and @t3 @t60) (tptp.element @t1 @t35)))) % 16.59/16.87 (assume @p37 @t64) % 16.59/16.87 (assume @p38 (forall @t61 (not (and @t3 @t60 (tptp.empty @t35))))) % 16.59/16.87 (assume @p39 @t68) % 16.59/16.87 (assume @p40 @t77) % 16.59/16.87 (assume @p41 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 16.59/16.87 (assume @p42 (forall @t4 (not (and @t3 @t57)))) % 16.59/16.87 (assume @p43 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t57)))) % 16.59/16.87 (assume @p44 true) % 16.59/16.87 (step @p45 :rule eq-symm :args (@t78 @t12)) % 16.59/16.87 (step @p46 :rule eq-symm :args (@t79 @t65)) % 16.59/16.87 (step @p47 :rule cong :premises (@p46) :args (@t80)) % 16.59/16.87 (step @p48 :rule refl :args (@t81)) % 16.59/16.87 (step @p49 :rule refl :args (@t82)) % 16.59/16.87 (step @p50 :rule refl :args (@t83)) % 16.59/16.87 (step @p51 :rule refl :args (@t84)) % 16.59/16.87 (step @p52 :rule refl :args (@t85)) % 16.59/16.87 (step @p53 :rule refl :args (@t86)) % 16.59/16.87 (step @p54 :rule nary_cong :premises (@p53 @p52 @p51 @p50 @p49 @p48 @p47 @p45) :args (@t88)) % 16.59/16.87 (step @p55 :rule aci_norm :args ((= @t90 @t88))) % 16.59/16.87 (step @p56 :rule trans :premises (@p55 @p54)) % 16.59/16.87 (step @p57 :rule cong :premises (@p56) :args (@t92)) % 16.59/16.87 (step @p58 :rule quant-merge-prenex :args ((= (forall @t7 @t94) @t92))) % 16.59/16.87 (step @p59 :rule alpha_equiv :args (@t95 (@list @t78) (@list @t2))) % 16.59/16.87 (step @p60 :rule refl :args (@t84)) % 16.59/16.87 (step @p61 :rule refl :args (@t85)) % 16.59/16.87 (step @p62 :rule refl :args (@t86)) % 16.59/16.87 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60 @p59) :args (@t96)) % 16.59/16.87 (step @p64 :rule quant-miniscope-or :args ((= @t94 @t96))) % 16.59/16.87 (step @p65 :rule trans :premises (@p64 @p63)) % 16.59/16.87 (step @p66 :rule symm :premises (@p65)) % 16.59/16.87 (step @p67 :rule cong :premises (@p66) :args ((forall @t7 @t104))) % 16.59/16.87 (step @p68 :rule trans :premises (@p67 @p58)) % 16.59/16.87 (step @p69 :rule trans :premises (@p68 @p57)) % 16.59/16.87 (step @p70 :rule aci_norm :args ((= (or @t106 @t105) @t104))) % 16.59/16.87 (step @p71 :rule refl :args (@t105)) % 16.59/16.87 (step @p72 :rule bool-and-de-morgan :args (@t8 @t5 true)) % 16.59/16.87 (step @p73 :rule nary_cong :premises (@p72 @p71) :args ((or @t107 @t105))) % 16.59/16.87 (step @p74 :rule trans :premises (@p73 @p70)) % 16.59/16.87 (step @p75 :rule bool-impl-elim :args (@t14 @t105)) % 16.59/16.87 (step @p76 :rule trans :premises (@p75 @p74)) % 16.59/16.87 (step @p77 :rule cong :premises (@p76) :args ((forall @t7 (=> @t14 @t105)))) % 16.59/16.87 (step @p78 :rule trans :premises (@p77 @p69)) % 16.59/16.87 (step @p79 :rule quant-miniscope-or :args ((= (forall @t21 @t108) @t105))) % 16.59/16.87 (step @p80 :rule aci_norm :args ((= @t109 @t108))) % 16.59/16.87 (step @p81 :rule cong :premises (@p80) :args ((forall @t21 @t109))) % 16.59/16.87 (step @p82 :rule trans :premises (@p81 @p79)) % 16.59/16.87 (step @p83 :rule aci_norm :args ((= (or @t111 @t110) @t109))) % 16.59/16.87 (step @p84 :rule aci_norm :args ((= (or @t112 @t69) @t110))) % 16.59/16.87 (step @p85 :rule refl :args (@t69)) % 16.59/16.87 (step @p86 :rule aci_norm :args ((= (or @t84 (or @t99 @t97)) @t112))) % 16.59/16.87 (step @p87 :rule bool-and-de-morgan :args (@t98 @t70 true)) % 16.59/16.87 (step @p88 :rule nary_cong :premises (@p60 @p87) :args ((or @t84 (not (and @t98 @t70))))) % 16.59/16.87 (step @p89 :rule bool-and-de-morgan :args (@t9 @t98 (and @t70))) % 16.59/16.87 (step @p90 :rule trans :premises (@p89 @p88)) % 16.59/16.87 (step @p91 :rule trans :premises (@p90 @p86)) % 16.59/16.87 (step @p92 :rule nary_cong :premises (@p91 @p85) :args ((or (not @t113) @t69))) % 16.59/16.87 (step @p93 :rule trans :premises (@p92 @p84)) % 16.59/16.87 (step @p94 :rule bool-impl-elim :args (@t113 @t69)) % 16.59/16.87 (step @p95 :rule trans :premises (@p94 @p93)) % 16.59/16.87 (step @p96 :rule bool-and-de-morgan :args (@t18 @t26 true)) % 16.59/16.87 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t115 @t114))) % 16.59/16.87 (step @p98 :rule trans :premises (@p97 @p83)) % 16.59/16.87 (step @p99 :rule bool-impl-elim :args (@t54 @t114)) % 16.59/16.87 (step @p100 :rule trans :premises (@p99 @p98)) % 16.59/16.87 (step @p101 :rule cong :premises (@p100) :args ((forall @t21 (=> @t54 @t114)))) % 16.59/16.87 (step @p102 :rule trans :premises (@p101 @p82)) % 16.59/16.87 (step @p103 :rule refl :args (@t69)) % 16.59/16.87 (step @p104 :rule refl :args (@t70)) % 16.59/16.87 (step @p105 :rule eq-symm :args (@t39 @t28)) % 16.59/16.87 (step @p106 :rule refl :args (@t9)) % 16.59/16.87 (step @p107 :rule nary_cong :premises (@p106 @p105 @p104) :args (@t71)) % 16.59/16.87 (step @p108 :rule cong :premises (@p107 @p103) :args (@t72)) % 16.59/16.87 (step @p109 :rule refl :args (@t54)) % 16.59/16.87 (step @p110 :rule cong :premises (@p109 @p108) :args (@t73)) % 16.59/16.87 (step @p111 :rule cong :premises (@p110) :args (@t74)) % 16.59/16.87 (step @p112 :rule trans :premises (@p111 @p102)) % 16.59/16.87 (step @p113 :rule refl :args (@t14)) % 16.59/16.87 (step @p114 :rule cong :premises (@p113 @p112) :args (@t75)) % 16.59/16.87 (step @p115 :rule cong :premises (@p114) :args (@t76)) % 16.59/16.87 (step @p116 :rule trans :premises (@p115 @p78)) % 16.59/16.87 (step @p117 :rule cong :premises (@p116) :args (@t77)) % 16.59/16.87 (step @p118 :rule eq_resolve :premises (@p40 @p117)) % 16.59/16.87 (step @p119 :rule refl :args (@t141)) % 16.59/16.87 (step @p120 :rule bool-double-not-elim :args (@t116)) % 16.59/16.87 (step @p121 :rule nary_cong :premises (@p120 @p119) :args ((or (not @t142) @t141))) % 16.59/16.87 (step @p122 :rule eq-symm :args (@t118 @t119)) % 16.59/16.87 (step @p123 :rule refl :args (@t125)) % 16.59/16.87 (step @p124 :rule refl :args (@t129)) % 16.59/16.87 (step @p125 :rule refl :args (@t131)) % 16.59/16.87 (step @p126 :rule refl :args (@t133)) % 16.59/16.87 (step @p127 :rule refl :args (@t135)) % 16.59/16.87 (step @p128 :rule refl :args (@t137)) % 16.59/16.87 (step @p129 :rule refl :args (@t139)) % 16.59/16.87 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126 @p125 @p124 @p123 @p122) :args (@t143)) % 16.59/16.87 (step @p131 :rule cong :premises (@p130) :args (@t144)) % 16.59/16.87 (step @p132 :rule refl :args (@t142)) % 16.59/16.87 (step @p133 :rule cong :premises (@p132 @p131) :args ((=> @t142 @t144))) % 16.59/16.87 (assume-push @p379 @t142) % 16.59/16.87 (step @p135 :rule skolemize :premises (@p118)) % 16.59/16.87 (step-pop @p380 :rule scope :premises (@p135)) % 16.59/16.87 (step @p136 :rule process_scope :premises (@p380) :args (@t144)) % 16.59/16.87 (step @p138 :rule eq_resolve :premises (@p136 @p133)) % 16.59/16.87 (step @p139 :rule implies_elim :premises (@p138)) % 16.59/16.87 (step @p140 :rule eq_resolve :premises (@p139 @p121)) % 16.59/16.87 (step @p141 :rule chain_m_resolution :premises (@p140 @p118) :args (@t141 @t145 (@list @t116))) % 16.59/16.87 (step @p142 :rule bool-double-not-elim :args (@t138)) % 16.59/16.87 (step @p143 :rule refl :args (@t140)) % 16.59/16.87 (step @p144 :rule nary_cong :premises (@p143 @p142) :args ((or @t140 (not @t139)))) % 16.59/16.87 (step @p145 :rule cnf_or_neg :args (@t140 0)) % 16.59/16.87 (step @p146 :rule eq_resolve :premises (@p145 @p144)) % 16.59/16.87 (step @p147 :rule reordering :premises (@p146) :args ((or @t138 @t140))) % 16.59/16.87 (step @p148 :rule chain_m_resolution :premises (@p147 @p141) :args (@t138 @t145 @t146)) % 16.59/16.87 (step @p149 :rule bool-double-not-elim :args (@t136)) % 16.59/16.87 (step @p150 :rule nary_cong :premises (@p143 @p149) :args ((or @t140 (not @t137)))) % 16.59/16.87 (step @p151 :rule cnf_or_neg :args (@t140 1)) % 16.59/16.87 (step @p152 :rule eq_resolve :premises (@p151 @p150)) % 16.59/16.87 (step @p153 :rule reordering :premises (@p152) :args ((or @t136 @t140))) % 16.59/16.87 (step @p154 :rule chain_m_resolution :premises (@p153 @p141) :args (@t136 @t145 @t146)) % 16.59/16.87 (step @p155 :rule bool-double-not-elim :args (@t132)) % 16.59/16.87 (step @p156 :rule nary_cong :premises (@p143 @p155) :args ((or @t140 (not @t133)))) % 16.59/16.87 (step @p157 :rule cnf_or_neg :args (@t140 3)) % 16.59/16.87 (step @p158 :rule eq_resolve :premises (@p157 @p156)) % 16.59/16.87 (step @p159 :rule reordering :premises (@p158) :args ((or @t132 @t140))) % 16.59/16.87 (step @p160 :rule chain_m_resolution :premises (@p159 @p141) :args (@t132 @t145 @t146)) % 16.59/16.87 (step @p161 :rule bool-double-not-elim :args (@t130)) % 16.59/16.87 (step @p162 :rule nary_cong :premises (@p143 @p161) :args ((or @t140 (not @t131)))) % 16.59/16.87 (step @p163 :rule cnf_or_neg :args (@t140 4)) % 16.59/16.87 (step @p164 :rule eq_resolve :premises (@p163 @p162)) % 16.59/16.87 (step @p165 :rule reordering :premises (@p164) :args ((or @t130 @t140))) % 16.59/16.87 (step @p166 :rule chain_m_resolution :premises (@p165 @p141) :args (@t130 @t145 @t146)) % 16.59/16.87 (step @p167 :rule cnf_or_neg :args (@t140 7)) % 16.59/16.87 (step @p168 :rule chain_m_resolution :premises (@p167 @p141) :args ((not @t120) @t145 @t146)) % 16.59/16.87 (step @p169 :rule aci_norm :args ((= (or @t106 @t13) (or @t86 @t85 @t13)))) % 16.59/16.87 (step @p170 :rule refl :args (@t13)) % 16.59/16.87 (step @p171 :rule nary_cong :premises (@p72 @p170) :args ((or @t107 @t13))) % 16.59/16.87 (step @p172 :rule trans :premises (@p171 @p169)) % 16.59/16.87 (step @p173 :rule bool-impl-elim :args (@t14 @t13)) % 16.59/16.87 (step @p174 :rule trans :premises (@p173 @p172)) % 16.59/16.87 (step @p175 :rule cong :premises (@p174) :args (@t15)) % 16.59/16.87 (step @p176 :rule eq_resolve :premises (@p5 @p175)) % 16.59/16.87 (step @p177 :rule instantiate :premises (@p176) :args (@t147)) % 16.59/16.87 (step @p178 :rule cnf_or_pos :args (@t151)) % 16.59/16.87 (step @p179 :rule reordering :premises (@p178) :args ((or @t139 @t137 @t150 (not @t151)))) % 16.59/16.87 (step @p180 :rule chain_m_resolution :premises (@p179 @p148 @p154 @p177) :args (@t150 (@list false false false) (@list @t138 @t136 @t151))) % 16.59/16.87 (step @p181 :rule cnf_and_pos :args (@t150 0)) % 16.59/16.87 (step @p182 :rule reordering :premises (@p181) :args ((or @t149 @t152))) % 16.59/16.87 (step @p183 :rule chain_m_resolution :premises (@p182 @p180) :args (@t149 @t153 @t154)) % 16.59/16.87 (step @p184 :rule cnf_and_pos :args (@t150 1)) % 16.59/16.87 (step @p185 :rule reordering :premises (@p184) :args ((or @t148 @t152))) % 16.59/16.87 (step @p186 :rule chain_m_resolution :premises (@p185 @p180) :args (@t148 @t153 @t154)) % 16.59/16.87 (step @p187 :rule aci_norm :args ((= (or @t101 @t100 false @t165 @t164 @t163 @t162 @t161 @t160 @t156) (or @t101 @t100 @t165 @t164 @t163 @t162 @t161 @t160 @t156)))) % 16.59/16.87 (step @p188 :rule refl :args (@t156)) % 16.59/16.87 (step @p189 :rule eq-symm :args (@t157 @t159)) % 16.59/16.87 (step @p190 :rule cong :premises (@p189) :args (@t166)) % 16.59/16.87 (step @p191 :rule refl :args (@t161)) % 16.59/16.87 (step @p192 :rule refl :args (@t162)) % 16.59/16.87 (step @p193 :rule refl :args (@t163)) % 16.59/16.87 (step @p194 :rule refl :args (@t164)) % 16.59/16.87 (step @p195 :rule refl :args (@t165)) % 16.59/16.87 (step @p196 :rule evaluate :args ((not true))) % 16.59/16.87 (step @p197 :rule eq-refl :args (@t39)) % 16.59/16.87 (step @p198 :rule cong :premises (@p197) :args (@t167)) % 16.59/16.87 (step @p199 :rule trans :premises (@p198 @p196)) % 16.59/16.87 (step @p200 :rule refl :args (@t100)) % 16.59/16.87 (step @p201 :rule refl :args (@t101)) % 16.59/16.87 (step @p202 :rule nary_cong :premises (@p201 @p200 @p199 @p195 @p194 @p193 @p192 @p191 @p190 @p188) :args (@t168)) % 16.59/16.87 (step @p203 :rule trans :premises (@p202 @p187)) % 16.59/16.87 (step @p204 :rule cong :premises (@p203) :args ((forall @t169 @t168))) % 16.59/16.87 (step @p205 :rule quant-var-elim-eq :args ((= (forall @t7 @t173) @t168))) % 16.59/16.87 (step @p206 :rule aci_norm :args ((= @t174 @t173))) % 16.59/16.87 (step @p207 :rule cong :premises (@p206) :args (@t175)) % 16.59/16.87 (step @p208 :rule trans :premises (@p207 @p205)) % 16.59/16.87 (step @p209 :rule cong :premises (@p208) :args (@t176)) % 16.59/16.87 (step @p210 :rule quant-merge-prenex :args ((= @t176 @t177))) % 16.59/16.87 (step @p211 :rule symm :premises (@p210)) % 16.59/16.87 (step @p212 :rule quant_var_reordering :args ((= (forall @t178 @t174) @t177))) % 16.59/16.87 (step @p213 :rule trans :premises (@p212 @p211 @p209)) % 16.59/16.87 (step @p214 :rule trans :premises (@p213 @p204)) % 16.59/16.87 (step @p215 :rule aci_norm :args ((= @t180 @t174))) % 16.59/16.87 (step @p216 :rule cong :premises (@p215) :args (@t181)) % 16.59/16.87 (step @p217 :rule trans :premises (@p216 @p214)) % 16.59/16.87 (step @p218 :rule quant-merge-prenex :args ((= (forall @t4 @t183) @t181))) % 16.59/16.87 (step @p219 :rule alpha_equiv :args (@t184 (@list @t158 @t155) (@list @t35 @t185))) % 16.59/16.87 (step @p220 :rule refl :args (@t172)) % 16.59/16.87 (step @p221 :rule refl :args (@t100)) % 16.59/16.87 (step @p222 :rule refl :args (@t101)) % 16.59/16.87 (step @p223 :rule nary_cong :premises (@p222 @p221 @p220 @p219) :args (@t186)) % 16.59/16.87 (step @p224 :rule quant-miniscope-or :args ((= @t183 @t186))) % 16.59/16.87 (step @p225 :rule trans :premises (@p224 @p223)) % 16.59/16.87 (step @p226 :rule symm :premises (@p225)) % 16.59/16.87 (step @p227 :rule cong :premises (@p226) :args ((forall @t4 @t197))) % 16.59/16.87 (step @p228 :rule trans :premises (@p227 @p218)) % 16.59/16.87 (step @p229 :rule trans :premises (@p228 @p217)) % 16.59/16.87 (step @p230 :rule aci_norm :args ((= (or @t111 @t198) @t197))) % 16.59/16.87 (step @p231 :rule refl :args (@t198)) % 16.59/16.87 (step @p232 :rule nary_cong :premises (@p96 @p231) :args ((or @t115 @t198))) % 16.59/16.87 (step @p233 :rule trans :premises (@p232 @p230)) % 16.59/16.87 (step @p234 :rule bool-impl-elim :args (@t54 @t198)) % 16.59/16.87 (step @p235 :rule trans :premises (@p234 @p233)) % 16.59/16.87 (step @p236 :rule cong :premises (@p235) :args ((forall @t4 (=> @t54 @t198)))) % 16.59/16.87 (step @p237 :rule trans :premises (@p236 @p229)) % 16.59/16.87 (step @p238 :rule aci_norm :args ((= @t200 @t194))) % 16.59/16.87 (step @p239 :rule cong :premises (@p238) :args (@t201)) % 16.59/16.87 (step @p240 :rule quant-merge-prenex :args ((= (forall @t52 @t203) @t201))) % 16.59/16.87 (step @p241 :rule alpha_equiv :args (@t204 (@list @t185) (@list @t34))) % 16.59/16.87 (step @p242 :rule refl :args (@t192)) % 16.59/16.87 (step @p243 :rule refl :args (@t193)) % 16.59/16.87 (step @p244 :rule nary_cong :premises (@p243 @p242 @p241) :args (@t205)) % 16.59/16.87 (step @p245 :rule quant-miniscope-or :args ((= @t203 @t205))) % 16.59/16.87 (step @p246 :rule trans :premises (@p245 @p244)) % 16.59/16.87 (step @p247 :rule symm :premises (@p246)) % 16.59/16.87 (step @p248 :rule cong :premises (@p247) :args (@t215)) % 16.59/16.87 (step @p249 :rule trans :premises (@p248 @p240)) % 16.59/16.87 (step @p250 :rule trans :premises (@p249 @p239)) % 16.59/16.87 (step @p251 :rule refl :args (@t172)) % 16.59/16.87 (step @p252 :rule nary_cong :premises (@p251 @p250) :args (@t216)) % 16.59/16.87 (step @p253 :rule quant-miniscope-or :args ((= (forall @t52 @t217) @t216))) % 16.59/16.87 (step @p254 :rule aci_norm :args ((= @t218 @t217))) % 16.59/16.87 (step @p255 :rule cong :premises (@p254) :args ((forall @t52 @t218))) % 16.59/16.87 (step @p256 :rule trans :premises (@p255 @p253)) % 16.59/16.87 (step @p257 :rule trans :premises (@p256 @p252)) % 16.59/16.87 (step @p258 :rule aci_norm :args ((= (or (or @t193 @t192) @t219) @t218))) % 16.59/16.87 (step @p259 :rule refl :args (@t219)) % 16.59/16.87 (step @p260 :rule bool-and-de-morgan :args (@t49 @t48 true)) % 16.59/16.87 (step @p261 :rule nary_cong :premises (@p260 @p259) :args ((or (not @t50) @t219))) % 16.59/16.87 (step @p262 :rule trans :premises (@p261 @p258)) % 16.59/16.87 (step @p263 :rule bool-impl-elim :args (@t50 @t219)) % 16.59/16.87 (step @p264 :rule trans :premises (@p263 @p262)) % 16.59/16.87 (step @p265 :rule cong :premises (@p264) :args ((forall @t52 (=> @t50 @t219)))) % 16.59/16.87 (step @p266 :rule trans :premises (@p265 @p257)) % 16.59/16.87 (step @p267 :rule quant-miniscope-or :args ((= (forall @t46 @t220) @t219))) % 16.59/16.87 (step @p268 :rule aci_norm :args ((= @t221 @t220))) % 16.59/16.87 (step @p269 :rule cong :premises (@p268) :args ((forall @t46 @t221))) % 16.59/16.87 (step @p270 :rule trans :premises (@p269 @p267)) % 16.59/16.87 (step @p271 :rule aci_norm :args ((= (or (or @t211 @t210) @t222) @t221))) % 16.59/16.87 (step @p272 :rule aci_norm :args ((= (or @t223 @t206) @t222))) % 16.59/16.87 (step @p273 :rule refl :args (@t206)) % 16.59/16.87 (step @p274 :rule aci_norm :args ((= (or @t172 (or @t209 @t208)) @t223))) % 16.59/16.87 (step @p275 :rule bool-and-de-morgan :args (@t38 @t207 true)) % 16.59/16.87 (step @p276 :rule nary_cong :premises (@p220 @p275) :args ((or @t172 (not (and @t38 @t207))))) % 16.59/16.87 (step @p277 :rule bool-and-de-morgan :args (@t171 @t38 (and @t207))) % 16.59/16.87 (step @p278 :rule trans :premises (@p277 @p276)) % 16.59/16.87 (step @p279 :rule trans :premises (@p278 @p274)) % 16.59/16.87 (step @p280 :rule nary_cong :premises (@p279 @p273) :args ((or (not @t224) @t206))) % 16.59/16.87 (step @p281 :rule trans :premises (@p280 @p272)) % 16.59/16.87 (step @p282 :rule bool-impl-elim :args (@t224 @t206)) % 16.59/16.87 (step @p283 :rule trans :premises (@p282 @p281)) % 16.59/16.87 (step @p284 :rule bool-and-de-morgan :args (@t43 @t42 true)) % 16.59/16.87 (step @p285 :rule nary_cong :premises (@p284 @p283) :args ((or (not @t44) @t225))) % 16.59/16.87 (step @p286 :rule trans :premises (@p285 @p271)) % 16.59/16.87 (step @p287 :rule bool-impl-elim :args (@t44 @t225)) % 16.59/16.87 (step @p288 :rule trans :premises (@p287 @p286)) % 16.59/16.87 (step @p289 :rule cong :premises (@p288) :args ((forall @t46 (=> @t44 @t225)))) % 16.59/16.87 (step @p290 :rule trans :premises (@p289 @p270)) % 16.59/16.87 (step @p291 :rule eq-symm :args (@t34 @t2)) % 16.59/16.87 (step @p292 :rule eq-symm :args (@t36 @t19)) % 16.59/16.87 (step @p293 :rule refl :args (@t38)) % 16.59/16.87 (step @p294 :rule eq-symm :args (@t39 @t1)) % 16.59/16.87 (step @p295 :rule nary_cong :premises (@p294 @p293 @p292) :args (@t40)) % 16.59/16.87 (step @p296 :rule cong :premises (@p295 @p291) :args (@t41)) % 16.59/16.87 (step @p297 :rule refl :args (@t44)) % 16.59/16.87 (step @p298 :rule cong :premises (@p297 @p296) :args (@t45)) % 16.59/16.87 (step @p299 :rule cong :premises (@p298) :args (@t47)) % 16.59/16.87 (step @p300 :rule trans :premises (@p299 @p290)) % 16.59/16.87 (step @p301 :rule refl :args (@t50)) % 16.59/16.87 (step @p302 :rule cong :premises (@p301 @p300) :args (@t51)) % 16.59/16.87 (step @p303 :rule cong :premises (@p302) :args (@t53)) % 16.59/16.87 (step @p304 :rule trans :premises (@p303 @p266)) % 16.59/16.87 (step @p305 :rule cong :premises (@p109 @p304) :args (@t55)) % 16.59/16.87 (step @p306 :rule cong :premises (@p305) :args (@t56)) % 16.59/16.87 (step @p307 :rule trans :premises (@p306 @p237)) % 16.59/16.87 (step @p308 :rule eq_resolve :premises (@p21 @p307)) % 16.59/16.87 (step @p309 :rule instantiate :premises (@p308) :args ((@list @t119 @t117 @t118))) % 16.59/16.87 (step @p310 :rule bool-double-not-elim :args (@t128)) % 16.59/16.87 (step @p311 :rule nary_cong :premises (@p143 @p310) :args ((or @t140 (not @t129)))) % 16.59/16.87 (step @p312 :rule cnf_or_neg :args (@t140 5)) % 16.59/16.87 (step @p313 :rule eq_resolve :premises (@p312 @p311)) % 16.59/16.87 (step @p314 :rule reordering :premises (@p313) :args ((or @t128 @t140))) % 16.59/16.87 (step @p315 :rule chain_m_resolution :premises (@p314 @p141) :args (@t128 @t145 @t146)) % 16.59/16.87 (step @p316 :rule cong :premises (@p315) :args (@t226)) % 16.59/16.87 (step @p317 :rule aci_norm :args ((= (or @t106 (or @t84 @t66)) @t227))) % 16.59/16.87 (step @p318 :rule bool-impl-elim :args (@t9 @t66)) % 16.59/16.87 (step @p319 :rule nary_cong :premises (@p72 @p318) :args ((or @t107 @t67))) % 16.59/16.87 (step @p320 :rule trans :premises (@p319 @p317)) % 16.59/16.87 (step @p321 :rule bool-impl-elim :args (@t14 @t67)) % 16.59/16.87 (step @p322 :rule trans :premises (@p321 @p320)) % 16.59/16.87 (step @p323 :rule cong :premises (@p322) :args (@t68)) % 16.59/16.87 (step @p324 :rule eq_resolve :premises (@p39 @p323)) % 16.59/16.87 (step @p325 :rule eq-symm :args (@t228 @t123)) % 16.59/16.87 (step @p326 :rule eq-symm :args (@t229 @t226)) % 16.59/16.87 (step @p327 :rule nary_cong :premises (@p326 @p325) :args (@t230)) % 16.59/16.87 (step @p328 :rule nary_cong :premises (@p129 @p128 @p127 @p327) :args (@t231)) % 16.59/16.87 (step @p329 :rule refl :args (@t232)) % 16.59/16.87 (step @p330 :rule cong :premises (@p329 @p328) :args ((=> @t232 @t231))) % 16.59/16.87 (assume-push @p381 @t232) % 16.59/16.87 (step @p332 :rule instantiate :premises (@p324) :args (@t147)) % 16.59/16.87 (step-pop @p382 :rule scope :premises (@p332)) % 16.59/16.87 (step @p333 :rule process_scope :premises (@p382) :args (@t231)) % 16.59/16.87 (step @p335 :rule eq_resolve :premises (@p333 @p330)) % 16.59/16.87 (step @p336 :rule implies_elim :premises (@p335)) % 16.59/16.87 (step @p337 :rule chain_m_resolution :premises (@p336 @p324) :args (@t235 @t153 (@list @t232))) % 16.59/16.87 (step @p338 :rule bool-double-not-elim :args (@t134)) % 16.59/16.87 (step @p339 :rule nary_cong :premises (@p143 @p338) :args ((or @t140 (not @t135)))) % 16.59/16.87 (step @p340 :rule cnf_or_neg :args (@t140 2)) % 16.59/16.87 (step @p341 :rule eq_resolve :premises (@p340 @p339)) % 16.59/16.87 (step @p342 :rule reordering :premises (@p341) :args ((or @t134 @t140))) % 16.59/16.87 (step @p343 :rule chain_m_resolution :premises (@p342 @p141) :args (@t134 @t145 @t146)) % 16.59/16.87 (step @p344 :rule cnf_or_pos :args (@t235)) % 16.59/16.87 (step @p345 :rule reordering :premises (@p344) :args ((or @t139 @t137 @t135 @t234 (not @t235)))) % 16.59/16.87 (step @p346 :rule chain_m_resolution :premises (@p345 @p148 @p154 @p343 @p337) :args (@t234 @t236 (@list @t138 @t136 @t134 @t235))) % 16.59/16.87 (step @p347 :rule cnf_and_pos :args (@t234 0)) % 16.59/16.87 (step @p348 :rule reordering :premises (@p347) :args ((or @t233 (not @t234)))) % 16.59/16.87 (step @p349 :rule chain_m_resolution :premises (@p348 @p346) :args (@t233 @t153 (@list @t234))) % 16.59/16.87 (step @p350 :rule symm :premises (@p349)) % 16.59/16.87 (step @p351 :rule trans :premises (@p350 @p316)) % 16.59/16.87 (step @p352 :rule aci_norm :args ((= (or @t106 (or @t84 @t62)) (or @t86 @t85 @t84 @t62)))) % 16.59/16.87 (step @p353 :rule bool-impl-elim :args (@t9 @t62)) % 16.59/16.87 (step @p354 :rule nary_cong :premises (@p72 @p353) :args ((or @t107 @t63))) % 16.59/16.87 (step @p355 :rule trans :premises (@p354 @p352)) % 16.59/16.87 (step @p356 :rule bool-impl-elim :args (@t14 @t63)) % 16.59/16.87 (step @p357 :rule trans :premises (@p356 @p355)) % 16.59/16.87 (step @p358 :rule cong :premises (@p357) :args (@t64)) % 16.59/16.87 (step @p359 :rule eq_resolve :premises (@p37 @p358)) % 16.59/16.87 (step @p360 :rule instantiate :premises (@p359) :args (@t147)) % 16.59/16.87 (step @p361 :rule cnf_or_pos :args (@t240)) % 16.59/16.87 (step @p362 :rule reordering :premises (@p361) :args ((or @t139 @t137 @t135 @t239 (not @t240)))) % 16.59/16.87 (step @p363 :rule chain_m_resolution :premises (@p362 @p148 @p154 @p343 @p360) :args (@t239 @t236 (@list @t138 @t136 @t134 @t240))) % 16.59/16.87 (step @p364 :rule cnf_and_pos :args (@t239 0)) % 16.59/16.87 (step @p365 :rule reordering :premises (@p364) :args ((or @t238 (not @t239)))) % 16.59/16.87 (step @p366 :rule chain_m_resolution :premises (@p365 @p363) :args (@t238 @t153 (@list @t239))) % 16.59/16.87 (step @p367 :rule cong :premises (@p366) :args (@t123)) % 16.59/16.87 (step @p368 :rule bool-double-not-elim :args (@t124)) % 16.59/16.87 (step @p369 :rule nary_cong :premises (@p143 @p368) :args ((or @t140 (not @t125)))) % 16.59/16.87 (step @p370 :rule cnf_or_neg :args (@t140 6)) % 16.59/16.87 (step @p371 :rule eq_resolve :premises (@p370 @p369)) % 16.59/16.87 (step @p372 :rule reordering :premises (@p371) :args ((or @t124 @t140))) % 16.59/16.87 (step @p373 :rule chain_m_resolution :premises (@p372 @p141) :args (@t124 @t145 @t146)) % 16.59/16.87 (step @p374 :rule symm :premises (@p373)) % 16.59/16.87 (step @p375 :rule trans :premises (@p374 @p367)) % 16.59/16.87 (step @p376 :rule cnf_or_pos :args (@t247)) % 16.59/16.87 (step @p377 :rule reordering :premises (@p376) :args ((or @t139 @t137 @t133 @t131 @t120 @t246 @t245 @t244 @t242 (not @t247)))) % 16.59/16.87 (step @p378 false :rule chain_m_resolution :premises (@p377 @p375 @p351 @p309 @p186 @p183 @p168 @p166 @p160 @p154 @p148) :args (false (@list false false false false false true false false false false) (@list @t243 @t241 @t247 @t148 @t149 @t120 @t130 @t132 @t136 @t138))) % 16.59/16.87 ) % 16.59/16.87 % SZS output end Proof % 16.59/16.87 % cvc5 exiting %------------------------------------------------------------------------------