%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU187+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:50:53 AM UTC 2026 % Result : Theorem 15.88s 16.25s % Output : Proof 15.88s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU187+2 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n003.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:34:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.52 %----Proving TF0_NAR, FOF, or CNF % 15.88/16.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.88/16.25 --- Run --no-e-matching --full-saturate-quant at 6... % 15.88/16.25 % SZS status Theorem % 15.88/16.25 % SZS output start Proof % 15.88/16.25 ( % 15.88/16.25 (declare-sort $$unsorted 0) % 15.88/16.25 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 15.88/16.25 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.relation (-> $$unsorted Bool)) % 15.88/16.25 (declare-const tptp.empty_set $$unsorted) % 15.88/16.25 (declare-const tptp.relation_composition (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.88/16.25 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 15.88/16.25 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.88/16.25 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.88/16.25 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 15.88/16.25 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.88/16.25 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 15.88/16.25 (declare-const tptp.relation_inverse (-> $$unsorted $$unsorted)) % 15.88/16.25 (define @t1 () (@var "A" $$unsorted)) % 15.88/16.25 (define @t2 () (@var "B" $$unsorted)) % 15.88/16.25 (define @t3 () (tptp.in @t2 @t1)) % 15.88/16.25 (define @t4 () (not @t3)) % 15.88/16.25 (define @t5 () (tptp.in @t1 @t2)) % 15.88/16.25 (define @t6 () (@list @t1 @t2)) % 15.88/16.25 (define @t7 () (tptp.proper_subset @t2 @t1)) % 15.88/16.25 (define @t8 () (tptp.proper_subset @t1 @t2)) % 15.88/16.25 (define @t9 () (tptp.relation @t1)) % 15.88/16.25 (define @t10 () (tptp.empty @t1)) % 15.88/16.25 (define @t11 () (@list @t1)) % 15.88/16.25 (define @t12 () (tptp.unordered_pair @t1 @t2)) % 15.88/16.25 (define @t13 () (tptp.set_union2 @t2 @t1)) % 15.88/16.25 (define @t14 () (tptp.set_union2 @t1 @t2)) % 15.88/16.25 (define @t15 () (tptp.set_intersection2 @t1 @t2)) % 15.88/16.25 (define @t16 () (tptp.subset @t1 @t2)) % 15.88/16.25 (define @t17 () (= @t1 @t2)) % 15.88/16.25 (define @t18 () (@var "D" $$unsorted)) % 15.88/16.25 (define @t19 () (@var "C" $$unsorted)) % 15.88/16.25 (define @t20 () (tptp.ordered_pair @t19 @t18)) % 15.88/16.25 (define @t21 () (@list @t19 @t18)) % 15.88/16.25 (define @t22 () (@list @t2)) % 15.88/16.25 (define @t23 () (= @t2 tptp.empty_set)) % 15.88/16.25 (define @t24 () (= @t2 (tptp.set_meet @t1))) % 15.88/16.25 (define @t25 () (= @t1 tptp.empty_set)) % 15.88/16.25 (define @t26 () (tptp.in @t19 @t18)) % 15.88/16.25 (define @t27 () (tptp.in @t18 @t1)) % 15.88/16.25 (define @t28 () (@list @t18)) % 15.88/16.25 (define @t29 () (tptp.in @t19 @t2)) % 15.88/16.25 (define @t30 () (@list @t19)) % 15.88/16.25 (define @t31 () (not @t25)) % 15.88/16.25 (define @t32 () (tptp.singleton @t1)) % 15.88/16.25 (define @t33 () (tptp.powerset @t1)) % 15.88/16.25 (define @t34 () (tptp.empty @t2)) % 15.88/16.25 (define @t35 () (tptp.element @t2 @t1)) % 15.88/16.25 (define @t36 () (not @t10)) % 15.88/16.25 (define @t37 () (tptp.in @t18 @t19)) % 15.88/16.25 (define @t38 () (@list @t1 @t2 @t19)) % 15.88/16.25 (define @t39 () (tptp.in @t18 @t2)) % 15.88/16.25 (define @t40 () (@var "F" $$unsorted)) % 15.88/16.25 (define @t41 () (@var "E" $$unsorted)) % 15.88/16.25 (define @t42 () (tptp.cartesian_product2 @t1 @t2)) % 15.88/16.25 (define @t43 () (tptp.in @t19 @t1)) % 15.88/16.25 (define @t44 () (forall @t30 (=> @t43 @t29))) % 15.88/16.25 (define @t45 () (forall @t28 (= @t37 (and @t27 @t39)))) % 15.88/16.25 (define @t46 () (= (= @t19 @t15) @t45)) % 15.88/16.25 (define @t47 () (forall @t38 @t46)) % 15.88/16.25 (define @t48 () (tptp.in @t20 @t1)) % 15.88/16.25 (define @t49 () (exists @t28 @t48)) % 15.88/16.25 (define @t50 () (= @t29 @t49)) % 15.88/16.25 (define @t51 () (forall @t30 @t50)) % 15.88/16.25 (define @t52 () (tptp.relation_dom @t1)) % 15.88/16.25 (define @t53 () (= @t2 @t52)) % 15.88/16.25 (define @t54 () (= @t53 @t51)) % 15.88/16.25 (define @t55 () (forall @t22 @t54)) % 15.88/16.25 (define @t56 () (=> @t9 @t55)) % 15.88/16.25 (define @t57 () (forall @t11 @t56)) % 15.88/16.25 (define @t58 () (tptp.cast_to_subset @t1)) % 15.88/16.25 (define @t59 () (tptp.set_difference @t1 @t2)) % 15.88/16.25 (define @t60 () (tptp.ordered_pair @t18 @t19)) % 15.88/16.25 (define @t61 () (tptp.in @t60 @t1)) % 15.88/16.25 (define @t62 () (tptp.relation_rng @t1)) % 15.88/16.25 (define @t63 () (tptp.subset_complement @t1 @t2)) % 15.88/16.25 (define @t64 () (tptp.element @t2 @t33)) % 15.88/16.25 (define @t65 () (tptp.ordered_pair @t1 @t2)) % 15.88/16.25 (define @t66 () (tptp.in @t20 @t2)) % 15.88/16.25 (define @t67 () (forall @t21 (= @t66 @t61))) % 15.88/16.25 (define @t68 () (tptp.relation_inverse @t1)) % 15.88/16.25 (define @t69 () (= @t2 @t68)) % 15.88/16.25 (define @t70 () (= @t69 @t67)) % 15.88/16.25 (define @t71 () (tptp.relation @t2)) % 15.88/16.25 (define @t72 () (=> @t71 @t70)) % 15.88/16.25 (define @t73 () (forall @t22 @t72)) % 15.88/16.25 (define @t74 () (=> @t9 @t73)) % 15.88/16.25 (define @t75 () (forall @t11 @t74)) % 15.88/16.25 (define @t76 () (tptp.disjoint @t1 @t2)) % 15.88/16.25 (define @t77 () (forall @t6 (= @t76 (= @t15 tptp.empty_set)))) % 15.88/16.25 (define @t78 () (tptp.relation_composition @t1 @t2)) % 15.88/16.25 (define @t79 () (tptp.relation @t19)) % 15.88/16.25 (define @t80 () (tptp.complements_of_subsets @t1 @t2)) % 15.88/16.25 (define @t81 () (tptp.powerset @t33)) % 15.88/16.25 (define @t82 () (tptp.element @t2 @t81)) % 15.88/16.25 (define @t83 () (not @t17)) % 15.88/16.25 (define @t84 () (and @t9 @t71)) % 15.88/16.25 (define @t85 () (tptp.union_of_subsets @t1 @t2)) % 15.88/16.25 (define @t86 () (tptp.meet_of_subsets @t1 @t2)) % 15.88/16.25 (define @t87 () (tptp.subset_difference @t1 @t2 @t19)) % 15.88/16.25 (define @t88 () (tptp.element @t19 @t33)) % 15.88/16.25 (define @t89 () (and @t64 @t88)) % 15.88/16.25 (define @t90 () (tptp.empty tptp.empty_set)) % 15.88/16.25 (define @t91 () (tptp.relation tptp.empty_set)) % 15.88/16.25 (define @t92 () (not @t34)) % 15.88/16.25 (define @t93 () (and @t36 @t9)) % 15.88/16.25 (define @t94 () (tptp.disjoint @t32 @t2)) % 15.88/16.25 (define @t95 () (tptp.singleton @t2)) % 15.88/16.25 (define @t96 () (tptp.union @t2)) % 15.88/16.25 (define @t97 () (tptp.in @t1 @t19)) % 15.88/16.25 (define @t98 () (@list @t1 @t2 @t19 @t18)) % 15.88/16.25 (define @t99 () (tptp.element @t1 (tptp.powerset @t2))) % 15.88/16.25 (define @t100 () (tptp.set_difference @t2 @t19)) % 15.88/16.25 (define @t101 () (= @t1 @t19)) % 15.88/16.25 (define @t102 () (tptp.cartesian_product2 @t1 @t19)) % 15.88/16.25 (define @t103 () (not @t29)) % 15.88/16.25 (define @t104 () (tptp.subset @t19 @t2)) % 15.88/16.25 (define @t105 () (forall @t30 (not (and @t104 (not (tptp.are_equipotent @t19 @t2)) @t103)))) % 15.88/16.25 (define @t106 () (tptp.powerset @t19)) % 15.88/16.25 (define @t107 () (forall @t21 (=> (and @t29 (tptp.subset @t18 @t19)) @t39))) % 15.88/16.25 (define @t108 () (tptp.set_intersection2 @t2 @t19)) % 15.88/16.25 (define @t109 () (tptp.subset @t1 @t19)) % 15.88/16.25 (define @t110 () (tptp.element @t1 @t2)) % 15.88/16.25 (define @t111 () (tptp.in @t65 @t19)) % 15.88/16.25 (define @t112 () (tptp.relation_rng @t2)) % 15.88/16.25 (define @t113 () (tptp.relation_dom @t2)) % 15.88/16.25 (define @t114 () (tptp.relation_field @t19)) % 15.88/16.25 (define @t115 () (and (= @t62 (tptp.relation_dom @t68)) (= @t52 (tptp.relation_rng @t68)))) % 15.88/16.25 (define @t116 () (forall @t11 (=> @t9 @t115))) % 15.88/16.25 (define @t117 () (tptp.in @t2 @t19)) % 15.88/16.25 (define @t118 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 15.88/16.25 (define @t119 () (and @t43 @t29)) % 15.88/16.25 (define @t120 () (exists @t30 @t119)) % 15.88/16.25 (define @t121 () (and @t120 @t76)) % 15.88/16.25 (define @t122 () (not @t121)) % 15.88/16.25 (define @t123 () (forall @t30 (not @t119))) % 15.88/16.25 (define @t124 () (not @t76)) % 15.88/16.25 (define @t125 () (and @t124 @t123)) % 15.88/16.25 (define @t126 () (not @t125)) % 15.88/16.25 (define @t127 () (and @t126 @t122)) % 15.88/16.25 (define @t128 () (forall @t6 @t127)) % 15.88/16.25 (define @t129 () (tptp.subset_complement @t1 @t19)) % 15.88/16.25 (define @t130 () (tptp.disjoint @t2 @t19)) % 15.88/16.25 (define @t131 () (tptp.relation_dom @t78)) % 15.88/16.25 (define @t132 () (not @t23)) % 15.88/16.25 (define @t133 () (tptp.element @t2 @t106)) % 15.88/16.25 (define @t134 () (tptp.in @t19 @t15)) % 15.88/16.25 (define @t135 () (tptp.relation_rng tptp.empty_set)) % 15.88/16.25 (define @t136 () (tptp.relation_dom tptp.empty_set)) % 15.88/16.25 (define @t137 () (= @t136 tptp.empty_set)) % 15.88/16.25 (define @t138 () (and @t137 (= @t135 tptp.empty_set))) % 15.88/16.25 (define @t139 () (not @t138)) % 15.88/16.25 (define @t140 () (= @t32 (tptp.unordered_pair @t2 @t19))) % 15.88/16.25 (define @t141 () (tptp.relation_inverse tptp.empty_set)) % 15.88/16.25 (define @t142 () (= @t135 (tptp.relation_dom @t141))) % 15.88/16.25 (define @t143 () (and @t142 (= @t136 (tptp.relation_rng @t141)))) % 15.88/16.25 (define @t144 () (not @t91)) % 15.88/16.25 (define @t145 () (or @t144 @t143)) % 15.88/16.25 (define @t146 () (@list false false)) % 15.88/16.25 (define @t147 () (@list false)) % 15.88/16.25 (define @t148 () (@var "BOUND_VARIABLE_8449" $$unsorted)) % 15.88/16.25 (define @t149 () (= @t68 @t148)) % 15.88/16.25 (define @t150 () (forall @t21 (= @t61 (tptp.in @t20 @t148)))) % 15.88/16.25 (define @t151 () (= (= @t148 @t68) @t150)) % 15.88/16.25 (define @t152 () (not (tptp.relation @t148))) % 15.88/16.25 (define @t153 () (not @t9)) % 15.88/16.25 (define @t154 () (or @t153 @t152 @t151)) % 15.88/16.25 (define @t155 () (or @t152 @t151)) % 15.88/16.25 (define @t156 () (or @t153 @t155)) % 15.88/16.25 (define @t157 () (@list @t1 @t148)) % 15.88/16.25 (define @t158 () (forall @t157 @t156)) % 15.88/16.25 (define @t159 () (@list @t148)) % 15.88/16.25 (define @t160 () (forall @t159 @t156)) % 15.88/16.25 (define @t161 () (forall @t159 @t155)) % 15.88/16.25 (define @t162 () (@list @t2)) % 15.88/16.25 (define @t163 () (or @t153 @t161)) % 15.88/16.25 (define @t164 () (= @t69 (forall @t21 (= @t61 @t66)))) % 15.88/16.25 (define @t165 () (forall @t22 (or (not @t71) @t164))) % 15.88/16.25 (define @t166 () (tptp.in @t60 tptp.empty_set)) % 15.88/16.25 (define @t167 () (tptp.in @t20 tptp.empty_set)) % 15.88/16.25 (define @t168 () (forall @t21 (= @t166 @t167))) % 15.88/16.25 (define @t169 () (= @t168 (= @t141 tptp.empty_set))) % 15.88/16.25 (define @t170 () (or @t144 @t144 @t169)) % 15.88/16.25 (define @t171 () (forall @t157 (or @t153 @t152 (= @t150 @t149)))) % 15.88/16.25 (define @t172 () (@list tptp.empty_set tptp.empty_set)) % 15.88/16.25 (define @t173 () (= tptp.empty_set @t141)) % 15.88/16.25 (define @t174 () (forall @t21 (= @t167 @t166))) % 15.88/16.25 (define @t175 () (= @t174 @t173)) % 15.88/16.25 (define @t176 () (or @t144 @t144 @t175)) % 15.88/16.25 (define @t177 () (@var "BOUND_VARIABLE_8945" $$unsorted)) % 15.88/16.25 (define @t178 () (@var "BOUND_VARIABLE_8959" $$unsorted)) % 15.88/16.25 (define @t179 () (not (tptp.in @t178 @t177))) % 15.88/16.25 (define @t180 () (@var "BOUND_VARIABLE_8943" $$unsorted)) % 15.88/16.25 (define @t181 () (not (tptp.in @t178 @t180))) % 15.88/16.25 (define @t182 () (not (tptp.disjoint @t180 @t177))) % 15.88/16.25 (define @t183 () (or @t181 @t179)) % 15.88/16.25 (define @t184 () (or @t183 @t182)) % 15.88/16.25 (define @t185 () (forall (@list @t180 @t177 @t178) @t184)) % 15.88/16.25 (define @t186 () (@list @t178)) % 15.88/16.25 (define @t187 () (forall @t186 @t184)) % 15.88/16.25 (define @t188 () (@list @t180 @t177)) % 15.88/16.25 (define @t189 () (forall @t186 @t183)) % 15.88/16.25 (define @t190 () (or @t189 @t182)) % 15.88/16.25 (define @t191 () (forall @t188 (or (forall @t30 (or (not (tptp.in @t19 @t180)) (not (tptp.in @t19 @t177)))) @t182))) % 15.88/16.25 (define @t192 () (@var "BOUND_VARIABLE_8930" $$unsorted)) % 15.88/16.25 (define @t193 () (@var "BOUND_VARIABLE_8928" $$unsorted)) % 15.88/16.25 (define @t194 () (forall (@list @t193 @t192) (or (tptp.disjoint @t193 @t192) (not (forall @t30 (or (not (tptp.in @t19 @t193)) (not (tptp.in @t19 @t192)))))))) % 15.88/16.25 (define @t195 () (forall @t30 (or (not @t43) @t103))) % 15.88/16.25 (define @t196 () (or @t195 @t124)) % 15.88/16.25 (define @t197 () (forall @t6 @t196)) % 15.88/16.25 (define @t198 () (@list @t1 @t2)) % 15.88/16.25 (define @t199 () (not @t195)) % 15.88/16.25 (define @t200 () (or @t76 @t199)) % 15.88/16.25 (define @t201 () (forall @t6 @t200)) % 15.88/16.25 (define @t202 () (and @t201 @t197)) % 15.88/16.25 (define @t203 () (and (not (and @t124 @t195)) (not (and @t199 @t76)))) % 15.88/16.25 (define @t204 () (not @t123)) % 15.88/16.25 (define @t205 () (@quantifiers_skolemize @t174 0)) % 15.88/16.25 (define @t206 () (@quantifiers_skolemize @t174 1)) % 15.88/16.25 (define @t207 () (tptp.ordered_pair @t206 @t205)) % 15.88/16.25 (define @t208 () (tptp.disjoint tptp.empty_set tptp.empty_set)) % 15.88/16.25 (define @t209 () (tptp.set_intersection2 tptp.empty_set tptp.empty_set)) % 15.88/16.25 (define @t210 () (= @t209 tptp.empty_set)) % 15.88/16.25 (define @t211 () (= @t208 @t210)) % 15.88/16.25 (define @t212 () (= tptp.empty_set @t209)) % 15.88/16.25 (define @t213 () (= @t212 @t208)) % 15.88/16.25 (define @t214 () (= @t15 @t19)) % 15.88/16.25 (define @t215 () (tptp.in @t18 tptp.empty_set)) % 15.88/16.25 (define @t216 () (and @t215 @t215)) % 15.88/16.25 (define @t217 () (= @t215 @t216)) % 15.88/16.25 (define @t218 () (forall @t28 @t217)) % 15.88/16.25 (define @t219 () (= @t218 @t210)) % 15.88/16.25 (define @t220 () (forall @t38 (= @t45 @t214))) % 15.88/16.25 (define @t221 () (tptp.in @t207 tptp.empty_set)) % 15.88/16.25 (define @t222 () (not @t221)) % 15.88/16.25 (define @t223 () (not @t208)) % 15.88/16.25 (define @t224 () (or @t223 @t222 @t222)) % 15.88/16.25 (define @t225 () (tptp.ordered_pair @t205 @t206)) % 15.88/16.25 (define @t226 () (tptp.in @t225 tptp.empty_set)) % 15.88/16.25 (define @t227 () (not @t226)) % 15.88/16.25 (define @t228 () (or @t223 @t227 @t227)) % 15.88/16.25 (define @t229 () (= @t226 @t221)) % 15.88/16.25 (define @t230 () (not @t229)) % 15.88/16.25 (define @t231 () (not @t174)) % 15.88/16.25 (define @t232 () (@var "BOUND_VARIABLE_8367" $$unsorted)) % 15.88/16.25 (define @t233 () (tptp.in @t19 @t232)) % 15.88/16.25 (define @t234 () (not (forall @t28 (not @t48)))) % 15.88/16.25 (define @t235 () (forall @t30 (= @t233 @t234))) % 15.88/16.25 (define @t236 () (= (= @t232 @t52) @t235)) % 15.88/16.25 (define @t237 () (or @t153 @t236)) % 15.88/16.25 (define @t238 () (@list @t1 @t232)) % 15.88/16.25 (define @t239 () (forall @t238 @t237)) % 15.88/16.25 (define @t240 () (@list @t232)) % 15.88/16.25 (define @t241 () (forall @t240 @t237)) % 15.88/16.25 (define @t242 () (forall @t240 @t236)) % 15.88/16.25 (define @t243 () (or @t153 @t242)) % 15.88/16.25 (define @t244 () (forall @t22 (= @t53 (forall @t30 (= @t29 @t234))))) % 15.88/16.25 (define @t245 () (not (forall @t28 (not @t167)))) % 15.88/16.25 (define @t246 () (tptp.in @t19 tptp.empty_set)) % 15.88/16.25 (define @t247 () (forall @t30 (= @t245 @t246))) % 15.88/16.25 (define @t248 () (= @t137 @t247)) % 15.88/16.25 (define @t249 () (or @t144 @t248)) % 15.88/16.25 (define @t250 () (forall @t238 (or @t153 (= (= @t52 @t232) (forall @t30 (= @t234 @t233)))))) % 15.88/16.25 (define @t251 () (forall @t30 (= @t246 @t245))) % 15.88/16.25 (define @t252 () (= tptp.empty_set @t136)) % 15.88/16.25 (define @t253 () (= @t252 @t251)) % 15.88/16.25 (define @t254 () (or @t144 @t253)) % 15.88/16.25 (define @t255 () (@quantifiers_skolemize @t251 0)) % 15.88/16.25 (define @t256 () (forall @t28 (not (tptp.in (tptp.ordered_pair @t255 @t18) tptp.empty_set)))) % 15.88/16.25 (define @t257 () (tptp.ordered_pair @t255 (@quantifiers_skolemize @t256 0))) % 15.88/16.25 (define @t258 () (tptp.in @t257 tptp.empty_set)) % 15.88/16.25 (define @t259 () (not @t258)) % 15.88/16.25 (define @t260 () (or @t223 @t259 @t259)) % 15.88/16.25 (define @t261 () (not @t256)) % 15.88/16.25 (define @t262 () (not @t259)) % 15.88/16.25 (define @t263 () (tptp.in @t255 tptp.empty_set)) % 15.88/16.25 (define @t264 () (not @t263)) % 15.88/16.25 (define @t265 () (or @t223 @t264 @t264)) % 15.88/16.25 (define @t266 () (= @t263 @t261)) % 15.88/16.25 (define @t267 () (not @t266)) % 15.88/16.25 (define @t268 () (not @t251)) % 15.88/16.25 (define @t269 () (= tptp.empty_set @t135)) % 15.88/16.25 (define @t270 () (and @t252 @t173 @t142)) % 15.88/16.25 (assume @p1 (forall @t6 (=> @t5 @t4))) % 15.88/16.25 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 15.88/16.25 (assume @p3 (forall @t11 (=> @t10 @t9))) % 15.88/16.25 (assume @p4 (forall @t6 (= @t12 (tptp.unordered_pair @t2 @t1)))) % 15.88/16.25 (assume @p5 (forall @t6 (= @t14 @t13))) % 15.88/16.25 (assume @p6 (forall @t6 (= @t15 (tptp.set_intersection2 @t2 @t1)))) % 15.88/16.25 (assume @p7 (forall @t6 (= @t17 (and @t16 (tptp.subset @t2 @t1))))) % 15.88/16.25 (assume @p8 (forall @t11 (= @t9 (forall @t22 (not (and @t3 (forall @t21 (not (= @t2 @t20))))))))) % 15.88/16.25 (assume @p9 (forall @t6 (and (=> @t31 (= @t24 (forall @t30 (= @t29 (forall @t28 (=> @t27 @t26)))))) (=> @t25 (= @t24 @t23))))) % 15.88/16.25 (assume @p10 (forall @t6 (= (= @t2 @t32) (forall @t30 (= @t29 (= @t19 @t1)))))) % 15.88/16.25 (assume @p11 (forall @t11 (= @t25 (forall @t22 @t4)))) % 15.88/16.25 (assume @p12 (forall @t6 (= (= @t2 @t33) (forall @t30 (= @t29 (tptp.subset @t19 @t1)))))) % 15.88/16.25 (assume @p13 (forall @t6 (and (=> @t36 (= @t35 @t3)) (=> @t10 (= @t35 @t34))))) % 15.88/16.25 (assume @p14 (forall @t38 (= (= @t19 @t12) (forall @t28 (= @t37 (or (= @t18 @t1) (= @t18 @t2))))))) % 15.88/16.25 (assume @p15 (forall @t38 (= (= @t19 @t14) (forall @t28 (= @t37 (or @t27 @t39)))))) % 15.88/16.25 (assume @p16 (forall @t38 (= (= @t19 @t42) (forall @t28 (= @t37 (exists (@list @t41 @t40) (and (tptp.in @t41 @t1) (tptp.in @t40 @t2) (= @t18 (tptp.ordered_pair @t41 @t40))))))))) % 15.88/16.25 (assume @p17 (forall @t6 (= @t16 @t44))) % 15.88/16.25 (assume @p18 @t47) % 15.88/16.25 (assume @p19 @t57) % 15.88/16.25 (assume @p20 (forall @t11 (= @t58 @t1))) % 15.88/16.25 (assume @p21 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t30 (= @t29 (exists @t28 (and @t26 @t27))))))) % 15.88/16.25 (assume @p22 (forall @t38 (= (= @t19 @t59) (forall @t28 (= @t37 (and @t27 (not @t39))))))) % 15.88/16.25 (assume @p23 (forall @t11 (=> @t9 (forall @t22 (= (= @t2 @t62) (forall @t30 (= @t29 (exists @t28 @t61)))))))) % 15.88/16.26 (assume @p24 (forall @t6 (=> @t64 (= @t63 @t59)))) % 15.88/16.26 (assume @p25 (forall @t6 (= @t65 (tptp.unordered_pair @t12 @t32)))) % 15.88/16.26 (assume @p26 (forall @t11 (=> @t9 (= (tptp.relation_field @t1) (tptp.set_union2 @t52 @t62))))) % 15.88/16.26 (assume @p27 @t75) % 15.88/16.26 (assume @p28 @t77) % 15.88/16.26 (assume @p29 (forall @t11 (=> @t9 (forall @t22 (=> @t71 (forall @t30 (=> @t79 (= (= @t19 @t78) (forall (@list @t18 @t41) (= (tptp.in (tptp.ordered_pair @t18 @t41) @t19) (exists (@list @t40) (and (tptp.in (tptp.ordered_pair @t18 @t40) @t1) (tptp.in (tptp.ordered_pair @t40 @t41) @t2))))))))))))) % 15.88/16.26 (assume @p30 (forall @t6 (=> @t82 (forall @t30 (=> (tptp.element @t19 @t81) (= (= @t19 @t80) (forall @t28 (=> (tptp.element @t18 @t33) (= @t37 (tptp.in (tptp.subset_complement @t1 @t18) @t2)))))))))) % 15.88/16.26 (assume @p31 (forall @t6 (= @t8 (and @t16 @t83)))) % 15.88/16.26 (assume @p32 true) % 15.88/16.26 (assume @p33 (forall @t11 (tptp.element @t58 @t33))) % 15.88/16.26 (assume @p34 (forall @t6 (=> @t64 (tptp.element @t63 @t33)))) % 15.88/16.26 (assume @p35 (forall @t11 (=> @t9 (tptp.relation @t68)))) % 15.88/16.26 (assume @p36 (forall @t6 (=> @t84 (tptp.relation @t78)))) % 15.88/16.26 (assume @p37 (forall @t6 (=> @t82 (tptp.element @t85 @t33)))) % 15.88/16.26 (assume @p38 (forall @t6 (=> @t82 (tptp.element @t86 @t33)))) % 15.88/16.26 (assume @p39 (forall @t38 (=> @t89 (tptp.element @t87 @t33)))) % 15.88/16.26 (assume @p40 (forall @t6 (=> @t82 (tptp.element @t80 @t81)))) % 15.88/16.26 (assume @p41 (forall @t11 (exists @t22 @t35))) % 15.88/16.26 (assume @p42 (forall @t11 (not (tptp.empty @t33)))) % 15.88/16.26 (assume @p43 @t90) % 15.88/16.26 (assume @p44 (forall @t6 (not (tptp.empty @t65)))) % 15.88/16.26 (assume @p45 (forall @t6 (=> @t84 (tptp.relation @t14)))) % 15.88/16.26 (assume @p46 (forall @t11 (not (tptp.empty @t32)))) % 15.88/16.26 (assume @p47 (forall @t6 (=> @t36 (not (tptp.empty @t14))))) % 15.88/16.26 (assume @p48 (forall @t6 (not (tptp.empty @t12)))) % 15.88/16.26 (assume @p49 (forall @t6 (=> @t36 (not (tptp.empty @t13))))) % 15.88/16.26 (assume @p50 (and @t90 @t91)) % 15.88/16.26 (assume @p51 (forall @t6 (=> (and @t36 @t92) (not (tptp.empty @t42))))) % 15.88/16.26 (assume @p52 (forall @t11 (=> @t93 (not (tptp.empty @t52))))) % 15.88/16.26 (assume @p53 (forall @t11 (=> @t93 (not (tptp.empty @t62))))) % 15.88/16.26 (assume @p54 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 15.88/16.26 (assume @p55 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 15.88/16.26 (assume @p56 (forall @t6 (=> @t64 (= (tptp.subset_complement @t1 @t63) @t2)))) % 15.88/16.26 (assume @p57 (forall @t11 (=> @t9 (= (tptp.relation_inverse @t68) @t1)))) % 15.88/16.26 (assume @p58 (forall @t6 (=> @t82 (= (tptp.complements_of_subsets @t1 @t80) @t2)))) % 15.88/16.26 (assume @p59 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 15.88/16.26 (assume @p60 (forall @t11 (not (= @t32 tptp.empty_set)))) % 15.88/16.26 (assume @p61 (forall @t6 (=> @t5 (= (tptp.set_union2 @t32 @t2) @t2)))) % 15.88/16.26 (assume @p62 (forall @t6 (not (and @t94 @t5)))) % 15.88/16.26 (assume @p63 (forall @t6 (=> (not @t5) @t94))) % 15.88/16.26 (assume @p64 (forall @t6 (= (tptp.subset @t32 @t2) @t5))) % 15.88/16.26 (assume @p65 (forall @t6 (= (= @t59 tptp.empty_set) @t16))) % 15.88/16.26 (assume @p66 (forall @t6 (=> @t64 (forall @t30 (=> @t29 @t43))))) % 15.88/16.26 (assume @p67 (forall @t38 (=> @t16 (or @t43 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t19))))))) % 15.88/16.26 (assume @p68 (forall @t6 (= (tptp.subset @t1 @t95) (or @t25 (= @t1 @t95))))) % 15.88/16.26 (assume @p69 (forall @t6 (=> @t5 (tptp.subset @t1 @t96)))) % 15.88/16.26 (assume @p70 (forall @t98 (= (tptp.in @t65 (tptp.cartesian_product2 @t19 @t18)) (and @t97 (tptp.in @t2 @t18))))) % 15.88/16.26 (assume @p71 (forall @t6 (=> @t44 @t99))) % 15.88/16.26 (assume @p72 (exists @t11 (and @t10 @t9))) % 15.88/16.26 (assume @p73 (forall @t11 (=> @t36 (exists @t22 (and @t64 @t92))))) % 15.88/16.26 (assume @p74 (exists @t11 @t10)) % 15.88/16.26 (assume @p75 (exists @t11 @t93)) % 15.88/16.26 (assume @p76 (forall @t11 (exists @t22 (and @t64 @t34)))) % 15.88/16.26 (assume @p77 (exists @t11 @t36)) % 15.88/16.26 (assume @p78 (forall @t6 (=> @t82 (= @t85 @t96)))) % 15.88/16.26 (assume @p79 (forall @t6 (=> @t82 (= @t86 (tptp.set_meet @t2))))) % 15.88/16.26 (assume @p80 (forall @t38 (=> @t89 (= @t87 @t100)))) % 15.88/16.26 (assume @p81 (forall @t6 (tptp.subset @t1 @t1))) % 15.88/16.26 (assume @p82 (forall @t6 (=> @t76 (tptp.disjoint @t2 @t1)))) % 15.88/16.26 (assume @p83 (forall @t98 (not (and (= @t12 (tptp.unordered_pair @t19 @t18)) (not @t101) (not (= @t1 @t18)))))) % 15.88/16.26 (assume @p84 (forall @t38 (=> @t16 (and (tptp.subset @t102 (tptp.cartesian_product2 @t2 @t19)) (tptp.subset (tptp.cartesian_product2 @t19 @t1) (tptp.cartesian_product2 @t19 @t2)))))) % 15.88/16.26 (assume @p85 (forall @t98 (=> (and @t16 (tptp.subset @t19 @t18)) (tptp.subset @t102 (tptp.cartesian_product2 @t2 @t18))))) % 15.88/16.26 (assume @p86 (forall @t6 (=> @t16 (= @t14 @t2)))) % 15.88/16.26 (assume @p87 (forall @t11 (exists @t22 (and @t5 @t107 (forall @t30 (=> @t29 (tptp.in @t106 @t2))) @t105)))) % 15.88/16.26 (assume @p88 (forall @t6 (tptp.subset @t15 @t1))) % 15.88/16.26 (assume @p89 (forall @t38 (=> (and @t16 @t109) (tptp.subset @t1 @t108)))) % 15.88/16.26 (assume @p90 (forall @t11 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 15.88/16.26 (assume @p91 (forall @t6 (=> @t5 @t110))) % 15.88/16.26 (assume @p92 (forall @t38 (=> (and @t16 (tptp.subset @t2 @t19)) @t109))) % 15.88/16.26 (assume @p93 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 15.88/16.26 (assume @p94 (forall @t38 (=> @t79 (=> @t111 (and (tptp.in @t1 (tptp.relation_dom @t19)) (tptp.in @t2 (tptp.relation_rng @t19))))))) % 15.88/16.26 (assume @p95 (forall @t11 (=> @t9 (tptp.subset @t1 (tptp.cartesian_product2 @t52 @t62))))) % 15.88/16.26 (assume @p96 (forall @t11 (=> @t9 (forall @t22 (=> @t71 (=> @t16 (and (tptp.subset @t52 @t113) (tptp.subset @t62 @t112)))))))) % 15.88/16.26 (assume @p97 (forall @t38 (=> @t16 (tptp.subset (tptp.set_intersection2 @t1 @t19) @t108)))) % 15.88/16.26 (assume @p98 (forall @t6 (=> @t16 (= @t15 @t1)))) % 15.88/16.26 (assume @p99 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 15.88/16.26 (assume @p100 (forall @t6 (=> @t110 (or @t34 @t5)))) % 15.88/16.26 (assume @p101 (forall @t6 (=> (forall @t30 (= @t43 @t29)) @t17))) % 15.88/16.26 (assume @p102 (forall @t11 (tptp.subset tptp.empty_set @t1))) % 15.88/16.26 (assume @p103 (forall @t38 (=> @t79 (=> @t111 (and (tptp.in @t1 @t114) (tptp.in @t2 @t114)))))) % 15.88/16.26 (assume @p104 (forall @t38 (=> @t16 (tptp.subset (tptp.set_difference @t1 @t19) @t100)))) % 15.88/16.26 (assume @p105 (forall @t98 (=> (= @t65 @t20) (and @t101 (= @t2 @t18))))) % 15.88/16.26 (assume @p106 (forall @t6 (tptp.subset @t59 @t1))) % 15.88/16.26 (assume @p107 @t116) % 15.88/16.26 (assume @p108 (forall @t38 (= (tptp.subset @t12 @t19) (and @t97 @t117)))) % 15.88/16.26 (assume @p109 (forall @t6 (= @t118 @t14))) % 15.88/16.26 (assume @p110 (forall @t11 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 15.88/16.26 (assume @p111 (forall @t6 (= @t99 @t16))) % 15.88/16.26 (assume @p112 @t128) % 15.88/16.26 (assume @p113 (forall @t11 (=> (tptp.subset @t1 tptp.empty_set) @t25))) % 15.88/16.26 (assume @p114 (forall @t6 (= (tptp.set_difference @t14 @t2) @t59))) % 15.88/16.26 (assume @p115 (forall @t6 (=> @t64 (forall @t30 (=> @t88 (= @t130 (tptp.subset @t2 @t129))))))) % 15.88/16.26 (assume @p116 (forall @t11 (=> @t9 (forall @t22 (=> @t71 (tptp.subset @t131 @t52)))))) % 15.88/16.26 (assume @p117 (forall @t11 (=> @t9 (forall @t22 (=> @t71 (tptp.subset (tptp.relation_rng @t78) @t112)))))) % 15.88/16.26 (assume @p118 (forall @t6 (=> @t16 (= @t2 @t118)))) % 15.88/16.26 (assume @p119 (forall @t11 (=> @t9 (forall @t22 (=> @t71 (=> (tptp.subset @t62 @t113) (= @t131 @t52))))))) % 15.88/16.26 (assume @p120 (forall @t6 (=> @t82 (not (and @t132 (= @t80 tptp.empty_set)))))) % 15.88/16.26 (assume @p121 (forall @t11 (=> @t9 (forall @t22 (=> @t71 (=> (tptp.subset @t52 @t112) (= (tptp.relation_rng (tptp.relation_composition @t2 @t1)) @t62))))))) % 15.88/16.26 (assume @p122 (forall @t6 (=> @t82 (=> @t132 (= (tptp.subset_difference @t1 @t58 @t85) (tptp.meet_of_subsets @t1 @t80)))))) % 15.88/16.26 (assume @p123 (forall @t6 (=> @t82 (=> @t132 (= (tptp.union_of_subsets @t1 @t80) (tptp.subset_difference @t1 @t58 @t86)))))) % 15.88/16.26 (assume @p124 (forall @t6 (= (tptp.set_difference @t1 @t59) @t15))) % 15.88/16.26 (assume @p125 (forall @t11 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 15.88/16.26 (assume @p126 (forall @t38 (=> (and @t5 @t133) (tptp.element @t1 @t19)))) % 15.88/16.26 (assume @p127 (forall @t6 (and (not (and @t124 (forall @t30 (not @t134)))) (not (and (exists @t30 @t134) @t76))))) % 15.88/16.26 (assume @p128 (forall @t11 (=> @t31 (forall @t22 (=> @t64 (forall @t30 (=> (tptp.element @t19 @t1) (=> @t103 (tptp.in @t19 @t63))))))))) % 15.88/16.26 (assume @p129 (forall @t38 (=> @t88 (not (and (tptp.in @t2 @t129) @t117))))) % 15.88/16.26 (assume @p130 (forall @t11 (=> @t9 (=> (forall (@list @t2 @t19) (not (tptp.in (tptp.ordered_pair @t2 @t19) @t1))) @t25)))) % 15.88/16.26 (assume @p131 (forall @t38 (not (and @t5 @t133 (tptp.empty @t19))))) % 15.88/16.26 (assume @p132 @t139) % 15.88/16.26 (assume @p133 (forall @t6 (not (and @t16 @t7)))) % 15.88/16.26 (assume @p134 (forall @t38 (=> (and @t16 @t130) (tptp.disjoint @t1 @t19)))) % 15.88/16.26 (assume @p135 (forall @t6 (= (= (tptp.set_difference @t1 @t95) @t1) @t4))) % 15.88/16.26 (assume @p136 (forall @t11 (= (tptp.unordered_pair @t1 @t1) @t32))) % 15.88/16.26 (assume @p137 (forall @t11 (=> @t10 @t25))) % 15.88/16.26 (assume @p138 (forall @t6 (=> (tptp.subset @t32 @t95) @t17))) % 15.88/16.26 (assume @p139 (forall @t6 (not (and @t5 @t34)))) % 15.88/16.26 (assume @p140 (forall @t6 (tptp.subset @t1 @t14))) % 15.88/16.26 (assume @p141 (forall @t6 (= @t76 (= @t59 @t1)))) % 15.88/16.26 (assume @p142 (forall @t6 (not (and @t10 @t83 @t34)))) % 15.88/16.26 (assume @p143 (forall @t38 (=> (and @t16 @t104) (tptp.subset (tptp.set_union2 @t1 @t19) @t2)))) % 15.88/16.26 (assume @p144 (forall @t38 (=> @t140 @t17))) % 15.88/16.26 (assume @p145 (forall @t11 (= (tptp.union @t33) @t1))) % 15.88/16.26 (assume @p146 (forall @t11 (exists @t22 (and @t5 @t107 (forall @t30 (not (and @t29 (forall @t28 (not (and @t39 (forall (@list @t41) (=> (tptp.subset @t41 @t19) (tptp.in @t41 @t18))))))))) @t105)))) % 15.88/16.26 (assume @p147 (forall @t38 (=> @t140 (= @t2 @t19)))) % 15.88/16.26 (step @p148 :rule bool-impl-elim :args (@t9 @t115)) % 15.88/16.26 (step @p149 :rule cong :premises (@p148) :args (@t116)) % 15.88/16.26 (step @p150 :rule eq_resolve :premises (@p107 @p149)) % 15.88/16.26 (step @p151 :rule instantiate :premises (@p150) :args ((@list tptp.empty_set))) % 15.88/16.26 (step @p152 :rule and_elim :premises (@p50) :args (1)) % 15.88/16.26 (step @p153 :rule cnf_or_pos :args (@t145)) % 15.88/16.26 (step @p154 :rule reordering :premises (@p153) :args ((or @t144 @t143 (not @t145)))) % 15.88/16.26 (step @p155 :rule chain_m_resolution :premises (@p154 @p152 @p151) :args (@t143 @t146 (@list @t91 @t145))) % 15.88/16.26 (step @p156 :rule cnf_and_pos :args (@t143 0)) % 15.88/16.26 (step @p157 :rule reordering :premises (@p156) :args ((or @t142 (not @t143)))) % 15.88/16.26 (step @p158 :rule chain_m_resolution :premises (@p157 @p155) :args (@t142 @t147 (@list @t143))) % 15.88/16.26 (step @p159 :rule eq-symm :args (@t149 @t150)) % 15.88/16.26 (step @p160 :rule refl :args (@t150)) % 15.88/16.26 (step @p161 :rule eq-symm :args (@t148 @t68)) % 15.88/16.26 (step @p162 :rule cong :premises (@p161 @p160) :args (@t151)) % 15.88/16.26 (step @p163 :rule trans :premises (@p162 @p159)) % 15.88/16.26 (step @p164 :rule refl :args (@t152)) % 15.88/16.26 (step @p165 :rule refl :args (@t153)) % 15.88/16.26 (step @p166 :rule nary_cong :premises (@p165 @p164 @p163) :args (@t154)) % 15.88/16.26 (step @p167 :rule aci_norm :args ((= @t156 @t154))) % 15.88/16.26 (step @p168 :rule trans :premises (@p167 @p166)) % 15.88/16.26 (step @p169 :rule cong :premises (@p168) :args (@t158)) % 15.88/16.26 (step @p170 :rule quant-merge-prenex :args ((= (forall @t11 @t160) @t158))) % 15.88/16.26 (step @p171 :rule alpha_equiv :args (@t161 (@list @t148) @t162)) % 15.88/16.26 (step @p172 :rule refl :args (@t153)) % 15.88/16.26 (step @p173 :rule nary_cong :premises (@p172 @p171) :args (@t163)) % 15.88/16.26 (step @p174 :rule quant-miniscope-or :args ((= @t160 @t163))) % 15.88/16.26 (step @p175 :rule trans :premises (@p174 @p173)) % 15.88/16.26 (step @p176 :rule symm :premises (@p175)) % 15.88/16.26 (step @p177 :rule cong :premises (@p176) :args ((forall @t11 (or @t153 @t165)))) % 15.88/16.26 (step @p178 :rule trans :premises (@p177 @p170)) % 15.88/16.26 (step @p179 :rule trans :premises (@p178 @p169)) % 15.88/16.26 (step @p180 :rule bool-impl-elim :args (@t9 @t165)) % 15.88/16.26 (step @p181 :rule cong :premises (@p180) :args ((forall @t11 (=> @t9 @t165)))) % 15.88/16.26 (step @p182 :rule trans :premises (@p181 @p179)) % 15.88/16.26 (step @p183 :rule bool-impl-elim :args (@t71 @t164)) % 15.88/16.26 (step @p184 :rule cong :premises (@p183) :args ((forall @t22 (=> @t71 @t164)))) % 15.88/16.26 (step @p185 :rule eq-symm :args (@t66 @t61)) % 15.88/16.26 (step @p186 :rule cong :premises (@p185) :args (@t67)) % 15.88/16.26 (step @p187 :rule refl :args (@t69)) % 15.88/16.26 (step @p188 :rule cong :premises (@p187 @p186) :args (@t70)) % 15.88/16.26 (step @p189 :rule refl :args (@t71)) % 15.88/16.26 (step @p190 :rule cong :premises (@p189 @p188) :args (@t72)) % 15.88/16.26 (step @p191 :rule cong :premises (@p190) :args (@t73)) % 15.88/16.26 (step @p192 :rule trans :premises (@p191 @p184)) % 15.88/16.26 (step @p193 :rule refl :args (@t9)) % 15.88/16.26 (step @p194 :rule cong :premises (@p193 @p192) :args (@t74)) % 15.88/16.26 (step @p195 :rule cong :premises (@p194) :args (@t75)) % 15.88/16.26 (step @p196 :rule trans :premises (@p195 @p182)) % 15.88/16.26 (step @p197 :rule eq_resolve :premises (@p27 @p196)) % 15.88/16.26 (step @p198 :rule eq-symm :args (@t141 tptp.empty_set)) % 15.88/16.26 (step @p199 :rule eq-symm :args (@t166 @t167)) % 15.88/16.26 (step @p200 :rule cong :premises (@p199) :args (@t168)) % 15.88/16.26 (step @p201 :rule cong :premises (@p200 @p198) :args (@t169)) % 15.88/16.26 (step @p202 :rule refl :args (@t144)) % 15.88/16.26 (step @p203 :rule nary_cong :premises (@p202 @p202 @p201) :args (@t170)) % 15.88/16.26 (step @p204 :rule refl :args (@t171)) % 15.88/16.26 (step @p205 :rule cong :premises (@p204 @p203) :args ((=> @t171 @t170))) % 15.88/16.26 (assume-push @p454 @t171) % 15.88/16.26 (step @p207 :rule instantiate :premises (@p197) :args (@t172)) % 15.88/16.26 (step-pop @p455 :rule scope :premises (@p207)) % 15.88/16.26 (step @p208 :rule process_scope :premises (@p455) :args (@t170)) % 15.88/16.26 (step @p210 :rule eq_resolve :premises (@p208 @p205)) % 15.88/16.26 (step @p211 :rule implies_elim :premises (@p210)) % 15.88/16.26 (step @p212 :rule chain_m_resolution :premises (@p211 @p197) :args (@t176 @t147 (@list @t171))) % 15.88/16.26 (step @p213 :rule cnf_or_pos :args (@t176)) % 15.88/16.26 (step @p214 :rule factoring :premises (@p213)) % 15.88/16.26 (step @p215 :rule reordering :premises (@p214) :args ((or @t144 @t175 (not @t176)))) % 15.88/16.26 (step @p216 :rule chain_m_resolution :premises (@p215 @p152 @p212) :args (@t175 @t146 (@list @t91 @t176))) % 15.88/16.26 (step @p217 :rule aci_norm :args ((= @t184 (or @t182 @t181 @t179)))) % 15.88/16.26 (step @p218 :rule cong :premises (@p217) :args (@t185)) % 15.88/16.26 (step @p219 :rule quant-merge-prenex :args ((= (forall @t188 @t187) @t185))) % 15.88/16.26 (step @p220 :rule refl :args (@t182)) % 15.88/16.26 (step @p221 :rule alpha_equiv :args (@t189 (@list @t178) (@list @t19))) % 15.88/16.26 (step @p222 :rule nary_cong :premises (@p221 @p220) :args (@t190)) % 15.88/16.26 (step @p223 :rule quant-miniscope-or :args ((= @t187 @t190))) % 15.88/16.26 (step @p224 :rule trans :premises (@p223 @p222)) % 15.88/16.26 (step @p225 :rule symm :premises (@p224)) % 15.88/16.26 (step @p226 :rule cong :premises (@p225) :args (@t191)) % 15.88/16.26 (step @p227 :rule trans :premises (@p226 @p219)) % 15.88/16.26 (step @p228 :rule trans :premises (@p227 @p218)) % 15.88/16.26 (step @p229 :rule refl :args (@t194)) % 15.88/16.26 (step @p230 :rule nary_cong :premises (@p229 @p228) :args ((and @t194 @t191))) % 15.88/16.26 (step @p231 :rule alpha_equiv :args (@t197 @t198 (@list @t180 @t177))) % 15.88/16.26 (step @p232 :rule alpha_equiv :args (@t201 @t198 (@list @t193 @t192))) % 15.88/16.26 (step @p233 :rule nary_cong :premises (@p232 @p231) :args (@t202)) % 15.88/16.26 (step @p234 :rule quant-miniscope-and :args ((= (forall @t6 (and @t200 @t196)) @t202))) % 15.88/16.26 (step @p235 :rule trans :premises (@p234 @p233)) % 15.88/16.26 (step @p236 :rule trans :premises (@p235 @p230)) % 15.88/16.26 (step @p237 :rule refl :args (@t124)) % 15.88/16.26 (step @p238 :rule bool-double-not-elim :args (@t195)) % 15.88/16.26 (step @p239 :rule nary_cong :premises (@p238 @p237) :args ((or (not @t199) @t124))) % 15.88/16.26 (step @p240 :rule bool-and-de-morgan :args (@t199 @t76 true)) % 15.88/16.26 (step @p241 :rule trans :premises (@p240 @p239)) % 15.88/16.26 (step @p242 :rule refl :args (@t199)) % 15.88/16.26 (step @p243 :rule bool-double-not-elim :args (@t76)) % 15.88/16.26 (step @p244 :rule nary_cong :premises (@p243 @p242) :args ((or (not @t124) @t199))) % 15.88/16.26 (step @p245 :rule bool-and-de-morgan :args (@t124 @t195 true)) % 15.88/16.26 (step @p246 :rule trans :premises (@p245 @p244)) % 15.88/16.26 (step @p247 :rule nary_cong :premises (@p246 @p241) :args (@t203)) % 15.88/16.26 (step @p248 :rule cong :premises (@p247) :args ((forall @t6 @t203))) % 15.88/16.26 (step @p249 :rule trans :premises (@p248 @p236)) % 15.88/16.26 (step @p250 :rule refl :args (@t76)) % 15.88/16.26 (step @p251 :rule bool-and-de-morgan :args (@t43 @t29 true)) % 15.88/16.26 (step @p252 :rule cong :premises (@p251) :args (@t123)) % 15.88/16.26 (step @p253 :rule cong :premises (@p252) :args (@t204)) % 15.88/16.26 (step @p254 :rule exists-elim :args ((= @t120 @t204))) % 15.88/16.26 (step @p255 :rule trans :premises (@p254 @p253)) % 15.88/16.26 (step @p256 :rule nary_cong :premises (@p255 @p250) :args (@t121)) % 15.88/16.26 (step @p257 :rule cong :premises (@p256) :args (@t122)) % 15.88/16.26 (step @p258 :rule refl :args (@t124)) % 15.88/16.26 (step @p259 :rule nary_cong :premises (@p258 @p252) :args (@t125)) % 15.88/16.26 (step @p260 :rule cong :premises (@p259) :args (@t126)) % 15.88/16.26 (step @p261 :rule nary_cong :premises (@p260 @p257) :args (@t127)) % 15.88/16.26 (step @p262 :rule cong :premises (@p261) :args (@t128)) % 15.88/16.26 (step @p263 :rule trans :premises (@p262 @p249)) % 15.88/16.26 (step @p264 :rule eq_resolve :premises (@p112 @p263)) % 15.88/16.26 (step @p265 :rule and_elim :premises (@p264) :args (1)) % 15.88/16.26 (step @p266 :rule instantiate :premises (@p265) :args ((@list tptp.empty_set tptp.empty_set @t207))) % 15.88/16.26 (step @p267 :rule refl :args (@t208)) % 15.88/16.26 (step @p268 :rule eq-symm :args (@t209 tptp.empty_set)) % 15.88/16.26 (step @p269 :rule cong :premises (@p268 @p267) :args ((= @t210 @t208))) % 15.88/16.26 (step @p270 :rule eq-symm :args (@t208 @t210)) % 15.88/16.26 (step @p271 :rule trans :premises (@p270 @p269)) % 15.88/16.26 (step @p272 :rule refl :args (@t77)) % 15.88/16.26 (step @p273 :rule cong :premises (@p272 @p271) :args ((=> @t77 @t211))) % 15.88/16.26 (assume-push @p456 @t77) % 15.88/16.26 (step @p275 :rule instantiate :premises (@p28) :args (@t172)) % 15.88/16.26 (step-pop @p457 :rule scope :premises (@p275)) % 15.88/16.26 (step @p276 :rule process_scope :premises (@p457) :args (@t211)) % 15.88/16.26 (step @p278 :rule eq_resolve :premises (@p276 @p273)) % 15.88/16.26 (step @p279 :rule implies_elim :premises (@p278)) % 15.88/16.26 (step @p280 :rule chain_m_resolution :premises (@p279 @p28) :args (@t213 @t147 (@list @t77))) % 15.88/16.26 (step @p281 :rule eq-symm :args (@t214 @t45)) % 15.88/16.26 (step @p282 :rule refl :args (@t45)) % 15.88/16.26 (step @p283 :rule eq-symm :args (@t19 @t15)) % 15.88/16.26 (step @p284 :rule cong :premises (@p283 @p282) :args (@t46)) % 15.88/16.26 (step @p285 :rule trans :premises (@p284 @p281)) % 15.88/16.26 (step @p286 :rule cong :premises (@p285) :args (@t47)) % 15.88/16.26 (step @p287 :rule eq_resolve :premises (@p18 @p286)) % 15.88/16.26 (step @p288 :rule bool-eq-true :args (@t212)) % 15.88/16.26 (step @p289 :rule eq-symm :args (true @t212)) % 15.88/16.26 (step @p290 :rule trans :premises (@p289 @p288)) % 15.88/16.26 (step @p291 :rule quant-unused-vars :args ((= (forall @t28 true) true))) % 15.88/16.26 (step @p292 :rule eq-refl :args (@t215)) % 15.88/16.26 (step @p293 :rule aci_norm :args ((= @t216 @t215))) % 15.88/16.26 (step @p294 :rule refl :args (@t215)) % 15.88/16.26 (step @p295 :rule cong :premises (@p294 @p293) :args (@t217)) % 15.88/16.26 (step @p296 :rule trans :premises (@p295 @p292)) % 15.88/16.26 (step @p297 :rule cong :premises (@p296) :args (@t218)) % 15.88/16.26 (step @p298 :rule trans :premises (@p297 @p291)) % 15.88/16.26 (step @p299 :rule cong :premises (@p298 @p268) :args (@t219)) % 15.88/16.26 (step @p300 :rule trans :premises (@p299 @p290)) % 15.88/16.26 (step @p301 :rule refl :args (@t220)) % 15.88/16.26 (step @p302 :rule cong :premises (@p301 @p300) :args ((=> @t220 @t219))) % 15.88/16.26 (assume-push @p458 @t220) % 15.88/16.26 (step @p304 :rule instantiate :premises (@p287) :args ((@list tptp.empty_set tptp.empty_set tptp.empty_set))) % 15.88/16.26 (step-pop @p459 :rule scope :premises (@p304)) % 15.88/16.26 (step @p305 :rule process_scope :premises (@p459) :args (@t219)) % 15.88/16.26 (step @p307 :rule eq_resolve :premises (@p305 @p302)) % 15.88/16.26 (step @p308 :rule implies_elim :premises (@p307)) % 15.88/16.26 (step @p309 :rule chain_m_resolution :premises (@p308 @p287) :args (@t212 @t147 (@list @t220))) % 15.88/16.26 (step @p310 :rule cnf_equiv_pos1 :args (@t213)) % 15.88/16.26 (step @p311 :rule reordering :premises (@p310) :args ((or @t208 (not @t212) (not @t213)))) % 15.88/16.26 (step @p312 :rule chain_m_resolution :premises (@p311 @p309 @p280) :args (@t208 @t146 (@list @t212 @t213))) % 15.88/16.26 (step @p313 :rule cnf_or_pos :args (@t224)) % 15.88/16.26 (step @p314 :rule factoring :premises (@p313)) % 15.88/16.26 (step @p315 :rule reordering :premises (@p314) :args ((or @t223 @t222 (not @t224)))) % 15.88/16.26 (step @p316 :rule chain_m_resolution :premises (@p315 @p312 @p266) :args (@t222 @t146 (@list @t208 @t224))) % 15.88/16.26 (step @p317 :rule instantiate :premises (@p265) :args ((@list tptp.empty_set tptp.empty_set @t225))) % 15.88/16.26 (step @p318 :rule cnf_or_pos :args (@t228)) % 15.88/16.26 (step @p319 :rule factoring :premises (@p318)) % 15.88/16.26 (step @p320 :rule reordering :premises (@p319) :args ((or @t223 @t227 (not @t228)))) % 15.88/16.26 (step @p321 :rule chain_m_resolution :premises (@p320 @p312 @p317) :args (@t227 @t146 (@list @t208 @t228))) % 15.88/16.26 (step @p322 :rule cnf_equiv_neg1 :args (@t229)) % 15.88/16.26 (step @p323 :rule reordering :premises (@p322) :args ((or @t226 @t221 @t229))) % 15.88/16.26 (step @p324 :rule chain_m_resolution :premises (@p323 @p321 @p316) :args (@t229 (@list true true) (@list @t226 @t221))) % 15.88/16.26 (step @p325 :rule refl :args (@t230)) % 15.88/16.26 (step @p326 :rule bool-double-not-elim :args (@t174)) % 15.88/16.26 (step @p327 :rule nary_cong :premises (@p326 @p325) :args ((or (not @t231) @t230))) % 15.88/16.26 (assume-push @p460 @t231) % 15.88/16.26 (step @p329 :rule skolemize :premises (@p460)) % 15.88/16.26 (step-pop @p461 :rule scope :premises (@p329)) % 15.88/16.26 (step @p330 :rule process_scope :premises (@p461) :args (@t230)) % 15.88/16.26 (step @p332 :rule implies_elim :premises (@p330)) % 15.88/16.26 (step @p333 :rule eq_resolve :premises (@p332 @p327)) % 15.88/16.26 (step @p334 :rule chain_m_resolution :premises (@p333 @p324) :args (@t174 @t147 (@list @t229))) % 15.88/16.26 (step @p335 :rule cnf_equiv_pos1 :args (@t175)) % 15.88/16.26 (step @p336 :rule reordering :premises (@p335) :args ((or @t173 @t231 (not @t175)))) % 15.88/16.26 (step @p337 :rule chain_m_resolution :premises (@p336 @p334 @p216) :args (@t173 @t146 (@list @t174 @t175))) % 15.88/16.26 (step @p338 :rule eq-symm :args (@t233 @t234)) % 15.88/16.26 (step @p339 :rule cong :premises (@p338) :args (@t235)) % 15.88/16.26 (step @p340 :rule eq-symm :args (@t232 @t52)) % 15.88/16.26 (step @p341 :rule cong :premises (@p340 @p339) :args (@t236)) % 15.88/16.26 (step @p342 :rule nary_cong :premises (@p165 @p341) :args (@t237)) % 15.88/16.26 (step @p343 :rule cong :premises (@p342) :args (@t239)) % 15.88/16.26 (step @p344 :rule quant-merge-prenex :args ((= (forall @t11 @t241) @t239))) % 15.88/16.26 (step @p345 :rule alpha_equiv :args (@t242 (@list @t232) @t162)) % 15.88/16.26 (step @p346 :rule nary_cong :premises (@p172 @p345) :args (@t243)) % 15.88/16.26 (step @p347 :rule quant-miniscope-or :args ((= @t241 @t243))) % 15.88/16.26 (step @p348 :rule trans :premises (@p347 @p346)) % 15.88/16.26 (step @p349 :rule symm :premises (@p348)) % 15.88/16.26 (step @p350 :rule cong :premises (@p349) :args ((forall @t11 (or @t153 @t244)))) % 15.88/16.26 (step @p351 :rule trans :premises (@p350 @p344)) % 15.88/16.26 (step @p352 :rule trans :premises (@p351 @p343)) % 15.88/16.26 (step @p353 :rule bool-impl-elim :args (@t9 @t244)) % 15.88/16.26 (step @p354 :rule cong :premises (@p353) :args ((forall @t11 (=> @t9 @t244)))) % 15.88/16.26 (step @p355 :rule trans :premises (@p354 @p352)) % 15.88/16.26 (step @p356 :rule exists-elim :args ((= @t49 @t234))) % 15.88/16.26 (step @p357 :rule refl :args (@t29)) % 15.88/16.26 (step @p358 :rule cong :premises (@p357 @p356) :args (@t50)) % 15.88/16.26 (step @p359 :rule cong :premises (@p358) :args (@t51)) % 15.88/16.26 (step @p360 :rule refl :args (@t53)) % 15.88/16.26 (step @p361 :rule cong :premises (@p360 @p359) :args (@t54)) % 15.88/16.26 (step @p362 :rule cong :premises (@p361) :args (@t55)) % 15.88/16.26 (step @p363 :rule cong :premises (@p193 @p362) :args (@t56)) % 15.88/16.26 (step @p364 :rule cong :premises (@p363) :args (@t57)) % 15.88/16.26 (step @p365 :rule trans :premises (@p364 @p355)) % 15.88/16.26 (step @p366 :rule eq_resolve :premises (@p19 @p365)) % 15.88/16.26 (step @p367 :rule eq-symm :args (@t245 @t246)) % 15.88/16.26 (step @p368 :rule cong :premises (@p367) :args (@t247)) % 15.88/16.26 (step @p369 :rule eq-symm :args (@t136 tptp.empty_set)) % 15.88/16.26 (step @p370 :rule cong :premises (@p369 @p368) :args (@t248)) % 15.88/16.26 (step @p371 :rule nary_cong :premises (@p202 @p370) :args (@t249)) % 15.88/16.26 (step @p372 :rule refl :args (@t250)) % 15.88/16.26 (step @p373 :rule cong :premises (@p372 @p371) :args ((=> @t250 @t249))) % 15.88/16.26 (assume-push @p462 @t250) % 15.88/16.26 (step @p375 :rule instantiate :premises (@p366) :args (@t172)) % 15.88/16.26 (step-pop @p463 :rule scope :premises (@p375)) % 15.88/16.26 (step @p376 :rule process_scope :premises (@p463) :args (@t249)) % 15.88/16.26 (step @p378 :rule eq_resolve :premises (@p376 @p373)) % 15.88/16.26 (step @p379 :rule implies_elim :premises (@p378)) % 15.88/16.26 (step @p380 :rule chain_m_resolution :premises (@p379 @p366) :args (@t254 @t147 (@list @t250))) % 15.88/16.26 (step @p381 :rule cnf_or_pos :args (@t254)) % 15.88/16.26 (step @p382 :rule reordering :premises (@p381) :args ((or @t144 @t253 (not @t254)))) % 15.88/16.26 (step @p383 :rule chain_m_resolution :premises (@p382 @p152 @p380) :args (@t253 @t146 (@list @t91 @t254))) % 15.88/16.26 (step @p384 :rule instantiate :premises (@p265) :args ((@list tptp.empty_set tptp.empty_set @t257))) % 15.88/16.26 (step @p385 :rule cnf_or_pos :args (@t260)) % 15.88/16.26 (step @p386 :rule factoring :premises (@p385)) % 15.88/16.26 (step @p387 :rule reordering :premises (@p386) :args ((or @t223 @t259 (not @t260)))) % 15.88/16.26 (step @p388 :rule chain_m_resolution :premises (@p387 @p312 @p384) :args (@t259 @t146 (@list @t208 @t260))) % 15.88/16.26 (step @p389 :rule refl :args (@t258)) % 15.88/16.26 (step @p390 :rule bool-double-not-elim :args (@t256)) % 15.88/16.26 (step @p391 :rule nary_cong :premises (@p390 @p389) :args ((or (not @t261) @t258))) % 15.88/16.26 (step @p392 :rule bool-double-not-elim :args (@t258)) % 15.88/16.26 (step @p393 :rule refl :args (@t261)) % 15.88/16.26 (step @p394 :rule cong :premises (@p393 @p392) :args ((=> @t261 @t262))) % 15.88/16.26 (assume-push @p464 @t261) % 15.88/16.26 (step @p396 :rule skolemize :premises (@p464)) % 15.88/16.26 (step-pop @p465 :rule scope :premises (@p396)) % 15.88/16.26 (step @p397 :rule process_scope :premises (@p465) :args (@t262)) % 15.88/16.26 (step @p399 :rule eq_resolve :premises (@p397 @p394)) % 15.88/16.26 (step @p400 :rule implies_elim :premises (@p399)) % 15.88/16.26 (step @p401 :rule eq_resolve :premises (@p400 @p391)) % 15.88/16.26 (step @p402 :rule chain_m_resolution :premises (@p401 @p388) :args (@t256 (@list true) (@list @t258))) % 15.88/16.26 (step @p403 :rule instantiate :premises (@p265) :args ((@list tptp.empty_set tptp.empty_set @t255))) % 15.88/16.26 (step @p404 :rule cnf_or_pos :args (@t265)) % 15.88/16.26 (step @p405 :rule factoring :premises (@p404)) % 15.88/16.26 (step @p406 :rule reordering :premises (@p405) :args ((or @t223 @t264 (not @t265)))) % 15.88/16.26 (step @p407 :rule chain_m_resolution :premises (@p406 @p312 @p403) :args (@t264 @t146 (@list @t208 @t265))) % 15.88/16.26 (step @p408 :rule cnf_equiv_neg1 :args (@t266)) % 15.88/16.26 (step @p409 :rule reordering :premises (@p408) :args ((or @t263 @t261 @t266))) % 15.88/16.26 (step @p410 :rule chain_m_resolution :premises (@p409 @p407 @p402) :args (@t266 (@list true false) (@list @t263 @t256))) % 15.88/16.26 (step @p411 :rule refl :args (@t267)) % 15.88/16.26 (step @p412 :rule bool-double-not-elim :args (@t251)) % 15.88/16.26 (step @p413 :rule nary_cong :premises (@p412 @p411) :args ((or (not @t268) @t267))) % 15.88/16.26 (assume-push @p466 @t268) % 15.88/16.26 (step @p415 :rule skolemize :premises (@p466)) % 15.88/16.26 (step-pop @p467 :rule scope :premises (@p415)) % 15.88/16.26 (step @p416 :rule process_scope :premises (@p467) :args (@t267)) % 15.88/16.26 (step @p418 :rule implies_elim :premises (@p416)) % 15.88/16.26 (step @p419 :rule eq_resolve :premises (@p418 @p413)) % 15.88/16.26 (step @p420 :rule chain_m_resolution :premises (@p419 @p410) :args (@t251 @t147 (@list @t266))) % 15.88/16.26 (step @p421 :rule cnf_equiv_pos2 :args (@t253)) % 15.88/16.26 (step @p422 :rule reordering :premises (@p421) :args ((or @t252 @t268 (not @t253)))) % 15.88/16.26 (step @p423 :rule chain_m_resolution :premises (@p422 @p420 @p383) :args (@t252 @t146 (@list @t251 @t253))) % 15.88/16.26 (step @p424 :rule eq-symm :args (@t135 tptp.empty_set)) % 15.88/16.26 (step @p425 :rule nary_cong :premises (@p369 @p424) :args (@t138)) % 15.88/16.26 (step @p426 :rule cong :premises (@p425) :args (@t139)) % 15.88/16.26 (step @p427 :rule eq_resolve :premises (@p132 @p426)) % 15.88/16.26 (step @p428 :rule not_and :premises (@p427)) % 15.88/16.26 (step @p429 :rule chain_m_resolution :premises (@p428 @p423) :args ((not @t269) @t147 (@list @t252))) % 15.88/16.26 (assume-push @p468 @t252) % 15.88/16.26 (assume-push @p469 @t173) % 15.88/16.26 (assume-push @p470 @t142) % 15.88/16.26 (assume-push @p471 @t142) % 15.88/16.26 (assume-push @p472 @t173) % 15.88/16.26 (assume-push @p473 @t252) % 15.88/16.26 (step @p436 :rule symm :premises (@p158)) % 15.88/16.26 (step @p437 :rule cong :premises (@p469) :args (@t136)) % 15.88/16.26 (step @p438 :rule trans :premises (@p468 @p437 @p436)) % 15.88/16.26 (step-pop @p474 :rule scope :premises (@p438)) % 15.88/16.26 (step-pop @p475 :rule scope :premises (@p474)) % 15.88/16.26 (step-pop @p476 :rule scope :premises (@p475)) % 15.88/16.26 (step @p439 :rule process_scope :premises (@p476) :args (@t269)) % 15.88/16.26 (step @p443 :rule and_intro :premises (@p158 @p469 @p468)) % 15.88/16.26 (step @p444 :rule modus_ponens :premises (@p443 @p439)) % 15.88/16.26 (step-pop @p477 :rule scope :premises (@p444)) % 15.88/16.26 (step-pop @p478 :rule scope :premises (@p477)) % 15.88/16.26 (step-pop @p479 :rule scope :premises (@p478)) % 15.88/16.26 (step @p445 :rule process_scope :premises (@p479) :args (@t269)) % 15.88/16.26 (step @p449 :rule implies_elim :premises (@p445)) % 15.88/16.26 (step @p450 :rule cnf_and_neg :args (@t270)) % 15.88/16.26 (step @p451 :rule resolution :premises (@p450 @p449) :args (true @t270)) % 15.88/16.26 (step @p452 :rule reordering :premises (@p451) :args ((or @t269 (not @t252) (not @t173) (not @t142)))) % 15.88/16.26 (step @p453 false :rule chain_m_resolution :premises (@p452 @p429 @p423 @p337 @p158) :args (false (@list true false false false) (@list @t269 @t252 @t173 @t142))) % 15.88/16.26 ) % 15.88/16.26 % SZS output end Proof % 15.88/16.26 % cvc5 exiting %------------------------------------------------------------------------------