%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU177+2 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 08:50:51 AM UTC 2026 % Result : Theorem 15.85s 16.07s % Output : Proof 15.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU177+2 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n010.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 16:33:25 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 15.85/16.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.85/16.07 --- Run --no-e-matching --full-saturate-quant at 6... % 15.85/16.07 % SZS status Theorem % 15.85/16.07 % SZS output start Proof % 15.85/16.07 ( % 15.85/16.07 (declare-sort $$unsorted 0) % 15.85/16.07 (declare-const tptp.are_equipotent (-> $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.relation (-> $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.proper_subset (-> $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.empty_set $$unsorted) % 15.85/16.07 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 15.85/16.07 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 15.85/16.07 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.85/16.07 (define @t1 () (@var "A" $$unsorted)) % 15.85/16.07 (define @t2 () (@var "B" $$unsorted)) % 15.85/16.07 (define @t3 () (tptp.in @t2 @t1)) % 15.85/16.07 (define @t4 () (not @t3)) % 15.85/16.07 (define @t5 () (tptp.in @t1 @t2)) % 15.85/16.07 (define @t6 () (@list @t1 @t2)) % 15.85/16.07 (define @t7 () (tptp.proper_subset @t2 @t1)) % 15.85/16.07 (define @t8 () (tptp.proper_subset @t1 @t2)) % 15.85/16.07 (define @t9 () (tptp.unordered_pair @t1 @t2)) % 15.85/16.07 (define @t10 () (tptp.set_union2 @t2 @t1)) % 15.85/16.07 (define @t11 () (tptp.set_union2 @t1 @t2)) % 15.85/16.07 (define @t12 () (tptp.set_intersection2 @t1 @t2)) % 15.85/16.07 (define @t13 () (tptp.subset @t1 @t2)) % 15.85/16.07 (define @t14 () (= @t1 @t2)) % 15.85/16.07 (define @t15 () (= @t2 tptp.empty_set)) % 15.85/16.07 (define @t16 () (= @t2 (tptp.set_meet @t1))) % 15.85/16.07 (define @t17 () (= @t1 tptp.empty_set)) % 15.85/16.07 (define @t18 () (@var "D" $$unsorted)) % 15.85/16.07 (define @t19 () (@var "C" $$unsorted)) % 15.85/16.07 (define @t20 () (tptp.in @t19 @t18)) % 15.85/16.07 (define @t21 () (tptp.in @t18 @t1)) % 15.85/16.07 (define @t22 () (@list @t18)) % 15.85/16.07 (define @t23 () (tptp.in @t19 @t2)) % 15.85/16.07 (define @t24 () (@list @t19)) % 15.85/16.07 (define @t25 () (not @t17)) % 15.85/16.07 (define @t26 () (tptp.singleton @t1)) % 15.85/16.07 (define @t27 () (@list @t2)) % 15.85/16.07 (define @t28 () (@list @t1)) % 15.85/16.07 (define @t29 () (tptp.powerset @t1)) % 15.85/16.07 (define @t30 () (tptp.empty @t2)) % 15.85/16.07 (define @t31 () (tptp.element @t2 @t1)) % 15.85/16.07 (define @t32 () (tptp.empty @t1)) % 15.85/16.07 (define @t33 () (not @t32)) % 15.85/16.07 (define @t34 () (tptp.in @t18 @t19)) % 15.85/16.07 (define @t35 () (@list @t1 @t2 @t19)) % 15.85/16.07 (define @t36 () (tptp.in @t18 @t2)) % 15.85/16.07 (define @t37 () (@var "F" $$unsorted)) % 15.85/16.07 (define @t38 () (@var "E" $$unsorted)) % 15.85/16.07 (define @t39 () (tptp.in @t19 @t1)) % 15.85/16.07 (define @t40 () (forall @t24 (=> @t39 @t23))) % 15.85/16.07 (define @t41 () (tptp.ordered_pair @t19 @t18)) % 15.85/16.07 (define @t42 () (tptp.in @t41 @t1)) % 15.85/16.07 (define @t43 () (exists @t22 @t42)) % 15.85/16.07 (define @t44 () (= @t23 @t43)) % 15.85/16.07 (define @t45 () (forall @t24 @t44)) % 15.85/16.07 (define @t46 () (tptp.relation_dom @t1)) % 15.85/16.07 (define @t47 () (= @t2 @t46)) % 15.85/16.07 (define @t48 () (= @t47 @t45)) % 15.85/16.07 (define @t49 () (forall @t27 @t48)) % 15.85/16.07 (define @t50 () (tptp.relation @t1)) % 15.85/16.07 (define @t51 () (=> @t50 @t49)) % 15.85/16.07 (define @t52 () (forall @t28 @t51)) % 15.85/16.07 (define @t53 () (tptp.cast_to_subset @t1)) % 15.85/16.07 (define @t54 () (tptp.set_difference @t1 @t2)) % 15.85/16.07 (define @t55 () (tptp.ordered_pair @t18 @t19)) % 15.85/16.07 (define @t56 () (tptp.in @t55 @t1)) % 15.85/16.07 (define @t57 () (exists @t22 @t56)) % 15.85/16.07 (define @t58 () (= @t23 @t57)) % 15.85/16.07 (define @t59 () (forall @t24 @t58)) % 15.85/16.07 (define @t60 () (tptp.relation_rng @t1)) % 15.85/16.07 (define @t61 () (= @t2 @t60)) % 15.85/16.07 (define @t62 () (= @t61 @t59)) % 15.85/16.07 (define @t63 () (forall @t27 @t62)) % 15.85/16.07 (define @t64 () (=> @t50 @t63)) % 15.85/16.07 (define @t65 () (forall @t28 @t64)) % 15.85/16.07 (define @t66 () (tptp.subset_complement @t1 @t2)) % 15.85/16.07 (define @t67 () (tptp.element @t2 @t29)) % 15.85/16.07 (define @t68 () (tptp.ordered_pair @t1 @t2)) % 15.85/16.07 (define @t69 () (tptp.disjoint @t1 @t2)) % 15.85/16.07 (define @t70 () (tptp.complements_of_subsets @t1 @t2)) % 15.85/16.07 (define @t71 () (tptp.powerset @t29)) % 15.85/16.07 (define @t72 () (tptp.element @t2 @t71)) % 15.85/16.07 (define @t73 () (not @t14)) % 15.85/16.07 (define @t74 () (tptp.union_of_subsets @t1 @t2)) % 15.85/16.07 (define @t75 () (tptp.meet_of_subsets @t1 @t2)) % 15.85/16.07 (define @t76 () (tptp.subset_difference @t1 @t2 @t19)) % 15.85/16.07 (define @t77 () (tptp.element @t19 @t29)) % 15.85/16.07 (define @t78 () (and @t67 @t77)) % 15.85/16.07 (define @t79 () (tptp.disjoint @t26 @t2)) % 15.85/16.07 (define @t80 () (tptp.singleton @t2)) % 15.85/16.07 (define @t81 () (tptp.union @t2)) % 15.85/16.07 (define @t82 () (tptp.in @t1 @t19)) % 15.85/16.07 (define @t83 () (@list @t1 @t2 @t19 @t18)) % 15.85/16.07 (define @t84 () (tptp.element @t1 (tptp.powerset @t2))) % 15.85/16.07 (define @t85 () (tptp.set_difference @t2 @t19)) % 15.85/16.07 (define @t86 () (= @t1 @t19)) % 15.85/16.07 (define @t87 () (tptp.cartesian_product2 @t1 @t19)) % 15.85/16.07 (define @t88 () (not @t23)) % 15.85/16.07 (define @t89 () (tptp.subset @t19 @t2)) % 15.85/16.07 (define @t90 () (forall @t24 (not (and @t89 (not (tptp.are_equipotent @t19 @t2)) @t88)))) % 15.85/16.07 (define @t91 () (tptp.powerset @t19)) % 15.85/16.07 (define @t92 () (forall (@list @t19 @t18) (=> (and @t23 (tptp.subset @t18 @t19)) @t36))) % 15.85/16.07 (define @t93 () (tptp.set_intersection2 @t2 @t19)) % 15.85/16.07 (define @t94 () (tptp.subset @t1 @t19)) % 15.85/16.07 (define @t95 () (tptp.element @t1 @t2)) % 15.85/16.07 (define @t96 () (and (tptp.in @t1 (tptp.relation_dom @t19)) (tptp.in @t2 (tptp.relation_rng @t19)))) % 15.85/16.07 (define @t97 () (tptp.in @t68 @t19)) % 15.85/16.07 (define @t98 () (=> @t97 @t96)) % 15.85/16.07 (define @t99 () (tptp.relation @t19)) % 15.85/16.07 (define @t100 () (forall @t35 (=> @t99 @t98))) % 15.85/16.07 (define @t101 () (not @t100)) % 15.85/16.07 (define @t102 () (tptp.in @t2 @t19)) % 15.85/16.07 (define @t103 () (tptp.set_union2 @t1 (tptp.set_difference @t2 @t1))) % 15.85/16.07 (define @t104 () (and @t39 @t23)) % 15.85/16.07 (define @t105 () (not @t69)) % 15.85/16.07 (define @t106 () (tptp.subset_complement @t1 @t19)) % 15.85/16.07 (define @t107 () (tptp.disjoint @t2 @t19)) % 15.85/16.07 (define @t108 () (not @t15)) % 15.85/16.07 (define @t109 () (tptp.element @t2 @t91)) % 15.85/16.07 (define @t110 () (tptp.in @t19 @t12)) % 15.85/16.07 (define @t111 () (= @t26 (tptp.unordered_pair @t2 @t19))) % 15.85/16.07 (define @t112 () (not @t97)) % 15.85/16.07 (define @t113 () (not @t99)) % 15.85/16.07 (define @t114 () (or @t113 @t112 @t96)) % 15.85/16.07 (define @t115 () (forall @t35 @t114)) % 15.85/16.07 (define @t116 () (@quantifiers_skolemize @t115 2)) % 15.85/16.07 (define @t117 () (@quantifiers_skolemize @t115 1)) % 15.85/16.07 (define @t118 () (@quantifiers_skolemize @t115 0)) % 15.85/16.07 (define @t119 () (tptp.in (tptp.ordered_pair @t118 @t117) @t116)) % 15.85/16.07 (define @t120 () (tptp.relation_rng @t116)) % 15.85/16.07 (define @t121 () (tptp.in @t117 @t120)) % 15.85/16.07 (define @t122 () (tptp.relation_dom @t116)) % 15.85/16.07 (define @t123 () (tptp.in @t118 @t122)) % 15.85/16.07 (define @t124 () (and @t123 @t121)) % 15.85/16.07 (define @t125 () (not @t119)) % 15.85/16.07 (define @t126 () (tptp.relation @t116)) % 15.85/16.07 (define @t127 () (not @t126)) % 15.85/16.07 (define @t128 () (or @t127 @t125 @t124)) % 15.85/16.07 (define @t129 () (@list true)) % 15.85/16.07 (define @t130 () (@list @t128)) % 15.85/16.07 (define @t131 () (@var "BOUND_VARIABLE_8251" $$unsorted)) % 15.85/16.07 (define @t132 () (tptp.in @t19 @t131)) % 15.85/16.07 (define @t133 () (not (forall @t22 (not @t56)))) % 15.85/16.07 (define @t134 () (forall @t24 (= @t132 @t133))) % 15.85/16.07 (define @t135 () (= (= @t131 @t60) @t134)) % 15.85/16.07 (define @t136 () (not @t50)) % 15.85/16.07 (define @t137 () (or @t136 @t135)) % 15.85/16.07 (define @t138 () (@list @t1 @t131)) % 15.85/16.07 (define @t139 () (forall @t138 @t137)) % 15.85/16.07 (define @t140 () (@list @t131)) % 15.85/16.07 (define @t141 () (forall @t140 @t137)) % 15.85/16.07 (define @t142 () (forall @t140 @t135)) % 15.85/16.07 (define @t143 () (@list @t2)) % 15.85/16.07 (define @t144 () (or @t136 @t142)) % 15.85/16.07 (define @t145 () (forall @t27 (= @t61 (forall @t24 (= @t23 @t133))))) % 15.85/16.07 (define @t146 () (forall @t24 (= (not (forall @t22 (not (tptp.in @t55 @t116)))) (tptp.in @t19 @t120)))) % 15.85/16.07 (define @t147 () (= (= @t120 @t120) @t146)) % 15.85/16.07 (define @t148 () (or @t127 @t147)) % 15.85/16.07 (define @t149 () (forall @t138 (or @t136 (= (= @t60 @t131) (forall @t24 (= @t133 @t132)))))) % 15.85/16.07 (define @t150 () (or @t127 @t146)) % 15.85/16.07 (define @t151 () (@list false)) % 15.85/16.07 (define @t152 () (@list false false)) % 15.85/16.07 (define @t153 () (forall @t22 (not (tptp.in (tptp.ordered_pair @t18 @t117) @t116)))) % 15.85/16.07 (define @t154 () (not @t153)) % 15.85/16.07 (define @t155 () (= @t154 @t121)) % 15.85/16.07 (define @t156 () (@list @t117)) % 15.85/16.07 (define @t157 () (= @t121 @t154)) % 15.85/16.07 (define @t158 () (@var "BOUND_VARIABLE_8208" $$unsorted)) % 15.85/16.07 (define @t159 () (tptp.in @t19 @t158)) % 15.85/16.07 (define @t160 () (not (forall @t22 (not @t42)))) % 15.85/16.07 (define @t161 () (forall @t24 (= @t159 @t160))) % 15.85/16.07 (define @t162 () (= (= @t158 @t46) @t161)) % 15.85/16.07 (define @t163 () (or @t136 @t162)) % 15.85/16.07 (define @t164 () (@list @t1 @t158)) % 15.85/16.07 (define @t165 () (forall @t164 @t163)) % 15.85/16.07 (define @t166 () (@list @t158)) % 15.85/16.07 (define @t167 () (forall @t166 @t163)) % 15.85/16.07 (define @t168 () (forall @t166 @t162)) % 15.85/16.07 (define @t169 () (or @t136 @t168)) % 15.85/16.07 (define @t170 () (forall @t27 (= @t47 (forall @t24 (= @t23 @t160))))) % 15.85/16.07 (define @t171 () (forall @t24 (= (not (forall @t22 (not (tptp.in @t41 @t116)))) (tptp.in @t19 @t122)))) % 15.85/16.07 (define @t172 () (= (= @t122 @t122) @t171)) % 15.85/16.07 (define @t173 () (or @t127 @t172)) % 15.85/16.07 (define @t174 () (forall @t164 (or @t136 (= (= @t46 @t158) (forall @t24 (= @t160 @t159)))))) % 15.85/16.07 (define @t175 () (or @t127 @t171)) % 15.85/16.07 (define @t176 () (forall @t22 (not (tptp.in (tptp.ordered_pair @t118 @t18) @t116)))) % 15.85/16.07 (define @t177 () (not @t176)) % 15.85/16.07 (define @t178 () (= @t177 @t123)) % 15.85/16.07 (define @t179 () (@list @t118)) % 15.85/16.07 (define @t180 () (= @t123 @t177)) % 15.85/16.07 (define @t181 () (not @t180)) % 15.85/16.07 (define @t182 () (@list true false)) % 15.85/16.07 (define @t183 () (not @t157)) % 15.85/16.07 (assume @p1 (forall @t6 (=> @t5 @t4))) % 15.85/16.07 (assume @p2 (forall @t6 (=> @t8 (not @t7)))) % 15.85/16.07 (assume @p3 (forall @t6 (= @t9 (tptp.unordered_pair @t2 @t1)))) % 15.85/16.07 (assume @p4 (forall @t6 (= @t11 @t10))) % 15.85/16.07 (assume @p5 (forall @t6 (= @t12 (tptp.set_intersection2 @t2 @t1)))) % 15.85/16.07 (assume @p6 (forall @t6 (= @t14 (and @t13 (tptp.subset @t2 @t1))))) % 15.85/16.07 (assume @p7 (forall @t6 (and (=> @t25 (= @t16 (forall @t24 (= @t23 (forall @t22 (=> @t21 @t20)))))) (=> @t17 (= @t16 @t15))))) % 15.85/16.07 (assume @p8 (forall @t6 (= (= @t2 @t26) (forall @t24 (= @t23 (= @t19 @t1)))))) % 15.85/16.07 (assume @p9 (forall @t28 (= @t17 (forall @t27 @t4)))) % 15.85/16.07 (assume @p10 (forall @t6 (= (= @t2 @t29) (forall @t24 (= @t23 (tptp.subset @t19 @t1)))))) % 15.85/16.07 (assume @p11 (forall @t6 (and (=> @t33 (= @t31 @t3)) (=> @t32 (= @t31 @t30))))) % 15.85/16.07 (assume @p12 (forall @t35 (= (= @t19 @t9) (forall @t22 (= @t34 (or (= @t18 @t1) (= @t18 @t2))))))) % 15.85/16.07 (assume @p13 (forall @t35 (= (= @t19 @t11) (forall @t22 (= @t34 (or @t21 @t36)))))) % 15.85/16.07 (assume @p14 (forall @t35 (= (= @t19 (tptp.cartesian_product2 @t1 @t2)) (forall @t22 (= @t34 (exists (@list @t38 @t37) (and (tptp.in @t38 @t1) (tptp.in @t37 @t2) (= @t18 (tptp.ordered_pair @t38 @t37))))))))) % 15.85/16.07 (assume @p15 (forall @t6 (= @t13 @t40))) % 15.85/16.07 (assume @p16 (forall @t35 (= (= @t19 @t12) (forall @t22 (= @t34 (and @t21 @t36)))))) % 15.85/16.07 (assume @p17 @t52) % 15.85/16.07 (assume @p18 (forall @t28 (= @t53 @t1))) % 15.85/16.07 (assume @p19 (forall @t6 (= (= @t2 (tptp.union @t1)) (forall @t24 (= @t23 (exists @t22 (and @t20 @t21))))))) % 15.85/16.07 (assume @p20 (forall @t35 (= (= @t19 @t54) (forall @t22 (= @t34 (and @t21 (not @t36))))))) % 15.85/16.07 (assume @p21 @t65) % 15.85/16.07 (assume @p22 (forall @t6 (=> @t67 (= @t66 @t54)))) % 15.85/16.07 (assume @p23 (forall @t6 (= @t68 (tptp.unordered_pair @t9 @t26)))) % 15.85/16.07 (assume @p24 (forall @t6 (= @t69 (= @t12 tptp.empty_set)))) % 15.85/16.07 (assume @p25 (forall @t6 (=> @t72 (forall @t24 (=> (tptp.element @t19 @t71) (= (= @t19 @t70) (forall @t22 (=> (tptp.element @t18 @t29) (= @t34 (tptp.in (tptp.subset_complement @t1 @t18) @t2)))))))))) % 15.85/16.07 (assume @p26 (forall @t6 (= @t8 (and @t13 @t73)))) % 15.85/16.07 (assume @p27 true) % 15.85/16.07 (assume @p28 (forall @t28 (tptp.element @t53 @t29))) % 15.85/16.07 (assume @p29 (forall @t6 (=> @t67 (tptp.element @t66 @t29)))) % 15.85/16.07 (assume @p30 (forall @t6 (=> @t72 (tptp.element @t74 @t29)))) % 15.85/16.07 (assume @p31 (forall @t6 (=> @t72 (tptp.element @t75 @t29)))) % 15.85/16.07 (assume @p32 (forall @t35 (=> @t78 (tptp.element @t76 @t29)))) % 15.85/16.07 (assume @p33 (forall @t6 (=> @t72 (tptp.element @t70 @t71)))) % 15.85/16.07 (assume @p34 (forall @t28 (exists @t27 @t31))) % 15.85/16.07 (assume @p35 (forall @t28 (not (tptp.empty @t29)))) % 15.85/16.07 (assume @p36 (tptp.empty tptp.empty_set)) % 15.85/16.07 (assume @p37 (forall @t6 (not (tptp.empty @t68)))) % 15.85/16.07 (assume @p38 (forall @t28 (not (tptp.empty @t26)))) % 15.85/16.07 (assume @p39 (forall @t6 (=> @t33 (not (tptp.empty @t11))))) % 15.85/16.07 (assume @p40 (forall @t6 (not (tptp.empty @t9)))) % 15.85/16.07 (assume @p41 (forall @t6 (=> @t33 (not (tptp.empty @t10))))) % 15.85/16.07 (assume @p42 (forall @t6 (= (tptp.set_union2 @t1 @t1) @t1))) % 15.85/16.07 (assume @p43 (forall @t6 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 15.85/16.07 (assume @p44 (forall @t6 (=> @t67 (= (tptp.subset_complement @t1 @t66) @t2)))) % 15.85/16.07 (assume @p45 (forall @t6 (=> @t72 (= (tptp.complements_of_subsets @t1 @t70) @t2)))) % 15.85/16.07 (assume @p46 (forall @t6 (not (tptp.proper_subset @t1 @t1)))) % 15.85/16.07 (assume @p47 (forall @t28 (not (= @t26 tptp.empty_set)))) % 15.85/16.07 (assume @p48 (forall @t6 (=> @t5 (= (tptp.set_union2 @t26 @t2) @t2)))) % 15.85/16.07 (assume @p49 (forall @t6 (not (and @t79 @t5)))) % 15.85/16.07 (assume @p50 (forall @t6 (=> (not @t5) @t79))) % 15.85/16.07 (assume @p51 (forall @t6 (= (tptp.subset @t26 @t2) @t5))) % 15.85/16.07 (assume @p52 (forall @t6 (= (= @t54 tptp.empty_set) @t13))) % 15.85/16.07 (assume @p53 (forall @t6 (=> @t67 (forall @t24 (=> @t23 @t39))))) % 15.85/16.07 (assume @p54 (forall @t35 (=> @t13 (or @t39 (tptp.subset @t1 (tptp.set_difference @t2 (tptp.singleton @t19))))))) % 15.85/16.07 (assume @p55 (forall @t6 (= (tptp.subset @t1 @t80) (or @t17 (= @t1 @t80))))) % 15.85/16.07 (assume @p56 (forall @t6 (=> @t5 (tptp.subset @t1 @t81)))) % 15.85/16.07 (assume @p57 (forall @t83 (= (tptp.in @t68 (tptp.cartesian_product2 @t19 @t18)) (and @t82 (tptp.in @t2 @t18))))) % 15.85/16.07 (assume @p58 (forall @t6 (=> @t40 @t84))) % 15.85/16.07 (assume @p59 (exists @t28 (and @t32 @t50))) % 15.85/16.07 (assume @p60 (forall @t28 (=> @t33 (exists @t27 (and @t67 (not @t30)))))) % 15.85/16.07 (assume @p61 (exists @t28 @t32)) % 15.85/16.07 (assume @p62 (forall @t28 (exists @t27 (and @t67 @t30)))) % 15.85/16.07 (assume @p63 (exists @t28 @t33)) % 15.85/16.07 (assume @p64 (forall @t6 (=> @t72 (= @t74 @t81)))) % 15.85/16.07 (assume @p65 (forall @t6 (=> @t72 (= @t75 (tptp.set_meet @t2))))) % 15.85/16.07 (assume @p66 (forall @t35 (=> @t78 (= @t76 @t85)))) % 15.85/16.07 (assume @p67 (forall @t6 (tptp.subset @t1 @t1))) % 15.85/16.07 (assume @p68 (forall @t6 (=> @t69 (tptp.disjoint @t2 @t1)))) % 15.85/16.07 (assume @p69 (forall @t83 (not (and (= @t9 (tptp.unordered_pair @t19 @t18)) (not @t86) (not (= @t1 @t18)))))) % 15.85/16.07 (assume @p70 (forall @t35 (=> @t13 (and (tptp.subset @t87 (tptp.cartesian_product2 @t2 @t19)) (tptp.subset (tptp.cartesian_product2 @t19 @t1) (tptp.cartesian_product2 @t19 @t2)))))) % 15.85/16.07 (assume @p71 (forall @t83 (=> (and @t13 (tptp.subset @t19 @t18)) (tptp.subset @t87 (tptp.cartesian_product2 @t2 @t18))))) % 15.85/16.07 (assume @p72 (forall @t6 (=> @t13 (= @t11 @t2)))) % 15.85/16.07 (assume @p73 (forall @t28 (exists @t27 (and @t5 @t92 (forall @t24 (=> @t23 (tptp.in @t91 @t2))) @t90)))) % 15.85/16.07 (assume @p74 (forall @t6 (tptp.subset @t12 @t1))) % 15.85/16.07 (assume @p75 (forall @t35 (=> (and @t13 @t94) (tptp.subset @t1 @t93)))) % 15.85/16.07 (assume @p76 (forall @t28 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 15.85/16.07 (assume @p77 (forall @t6 (=> @t5 @t95))) % 15.85/16.07 (assume @p78 (forall @t35 (=> (and @t13 (tptp.subset @t2 @t19)) @t94))) % 15.85/16.07 (assume @p79 (= (tptp.powerset tptp.empty_set) (tptp.singleton tptp.empty_set))) % 15.85/16.07 (assume @p80 @t101) % 15.85/16.07 (assume @p81 (forall @t35 (=> @t13 (tptp.subset (tptp.set_intersection2 @t1 @t19) @t93)))) % 15.85/16.07 (assume @p82 (forall @t6 (=> @t13 (= @t12 @t1)))) % 15.85/16.07 (assume @p83 (forall @t28 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 15.85/16.07 (assume @p84 (forall @t6 (=> @t95 (or @t30 @t5)))) % 15.85/16.07 (assume @p85 (forall @t6 (=> (forall @t24 (= @t39 @t23)) @t14))) % 15.85/16.07 (assume @p86 (forall @t28 (tptp.subset tptp.empty_set @t1))) % 15.85/16.07 (assume @p87 (forall @t35 (=> @t13 (tptp.subset (tptp.set_difference @t1 @t19) @t85)))) % 15.85/16.07 (assume @p88 (forall @t83 (=> (= @t68 @t41) (and @t86 (= @t2 @t18))))) % 15.85/16.07 (assume @p89 (forall @t6 (tptp.subset @t54 @t1))) % 15.85/16.07 (assume @p90 (forall @t35 (= (tptp.subset @t9 @t19) (and @t82 @t102)))) % 15.85/16.07 (assume @p91 (forall @t6 (= @t103 @t11))) % 15.85/16.07 (assume @p92 (forall @t28 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 15.85/16.07 (assume @p93 (forall @t6 (= @t84 @t13))) % 15.85/16.07 (assume @p94 (forall @t6 (and (not (and @t105 (forall @t24 (not @t104)))) (not (and (exists @t24 @t104) @t69))))) % 15.85/16.07 (assume @p95 (forall @t28 (=> (tptp.subset @t1 tptp.empty_set) @t17))) % 15.85/16.07 (assume @p96 (forall @t6 (= (tptp.set_difference @t11 @t2) @t54))) % 15.85/16.07 (assume @p97 (forall @t6 (=> @t67 (forall @t24 (=> @t77 (= @t107 (tptp.subset @t2 @t106))))))) % 15.85/16.07 (assume @p98 (forall @t6 (=> @t13 (= @t2 @t103)))) % 15.85/16.07 (assume @p99 (forall @t6 (=> @t72 (not (and @t108 (= @t70 tptp.empty_set)))))) % 15.85/16.07 (assume @p100 (forall @t6 (=> @t72 (=> @t108 (= (tptp.subset_difference @t1 @t53 @t74) (tptp.meet_of_subsets @t1 @t70)))))) % 15.85/16.07 (assume @p101 (forall @t6 (=> @t72 (=> @t108 (= (tptp.union_of_subsets @t1 @t70) (tptp.subset_difference @t1 @t53 @t75)))))) % 15.85/16.07 (assume @p102 (forall @t6 (= (tptp.set_difference @t1 @t54) @t12))) % 15.85/16.07 (assume @p103 (forall @t28 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 15.85/16.07 (assume @p104 (forall @t35 (=> (and @t5 @t109) (tptp.element @t1 @t19)))) % 15.85/16.07 (assume @p105 (forall @t6 (and (not (and @t105 (forall @t24 (not @t110)))) (not (and (exists @t24 @t110) @t69))))) % 15.85/16.07 (assume @p106 (forall @t28 (=> @t25 (forall @t27 (=> @t67 (forall @t24 (=> (tptp.element @t19 @t1) (=> @t88 (tptp.in @t19 @t66))))))))) % 15.85/16.07 (assume @p107 (forall @t35 (=> @t77 (not (and (tptp.in @t2 @t106) @t102))))) % 15.85/16.07 (assume @p108 (forall @t35 (not (and @t5 @t109 (tptp.empty @t19))))) % 15.85/16.07 (assume @p109 (forall @t6 (not (and @t13 @t7)))) % 15.85/16.07 (assume @p110 (forall @t35 (=> (and @t13 @t107) (tptp.disjoint @t1 @t19)))) % 15.85/16.07 (assume @p111 (forall @t6 (= (= (tptp.set_difference @t1 @t80) @t1) @t4))) % 15.85/16.07 (assume @p112 (forall @t28 (= (tptp.unordered_pair @t1 @t1) @t26))) % 15.85/16.07 (assume @p113 (forall @t28 (=> @t32 @t17))) % 15.85/16.07 (assume @p114 (forall @t6 (=> (tptp.subset @t26 @t80) @t14))) % 15.85/16.07 (assume @p115 (forall @t6 (not (and @t5 @t30)))) % 15.85/16.07 (assume @p116 (forall @t6 (tptp.subset @t1 @t11))) % 15.85/16.07 (assume @p117 (forall @t6 (= @t69 (= @t54 @t1)))) % 15.85/16.07 (assume @p118 (forall @t6 (not (and @t32 @t73 @t30)))) % 15.85/16.07 (assume @p119 (forall @t35 (=> (and @t13 @t89) (tptp.subset (tptp.set_union2 @t1 @t19) @t2)))) % 15.85/16.07 (assume @p120 (forall @t35 (=> @t111 @t14))) % 15.85/16.07 (assume @p121 (forall @t28 (= (tptp.union @t29) @t1))) % 15.85/16.07 (assume @p122 (forall @t28 (exists @t27 (and @t5 @t92 (forall @t24 (not (and @t23 (forall @t22 (not (and @t36 (forall (@list @t38) (=> (tptp.subset @t38 @t19) (tptp.in @t38 @t18))))))))) @t90)))) % 15.85/16.07 (assume @p123 (forall @t35 (=> @t111 (= @t2 @t19)))) % 15.85/16.07 (step @p124 :rule aci_norm :args ((= (or @t113 (or @t112 @t96)) @t114))) % 15.85/16.07 (step @p125 :rule bool-impl-elim :args (@t97 @t96)) % 15.85/16.07 (step @p126 :rule refl :args (@t113)) % 15.85/16.07 (step @p127 :rule nary_cong :premises (@p126 @p125) :args ((or @t113 @t98))) % 15.85/16.07 (step @p128 :rule trans :premises (@p127 @p124)) % 15.85/16.07 (step @p129 :rule bool-impl-elim :args (@t99 @t98)) % 15.85/16.07 (step @p130 :rule trans :premises (@p129 @p128)) % 15.85/16.07 (step @p131 :rule cong :premises (@p130) :args (@t100)) % 15.85/16.07 (step @p132 :rule cong :premises (@p131) :args (@t101)) % 15.85/16.07 (step @p133 :rule eq_resolve :premises (@p80 @p132)) % 15.85/16.07 (step @p134 :rule skolemize :premises (@p133)) % 15.85/16.07 (step @p135 :rule bool-double-not-elim :args (@t119)) % 15.85/16.07 (step @p136 :rule refl :args (@t128)) % 15.85/16.07 (step @p137 :rule nary_cong :premises (@p136 @p135) :args ((or @t128 (not @t125)))) % 15.85/16.07 (step @p138 :rule cnf_or_neg :args (@t128 1)) % 15.85/16.07 (step @p139 :rule eq_resolve :premises (@p138 @p137)) % 15.85/16.07 (step @p140 :rule reordering :premises (@p139) :args ((or @t119 @t128))) % 15.85/16.07 (step @p141 :rule chain_m_resolution :premises (@p140 @p134) :args (@t119 @t129 @t130)) % 15.85/16.07 (step @p142 :rule eq-symm :args (@t132 @t133)) % 15.85/16.07 (step @p143 :rule cong :premises (@p142) :args (@t134)) % 15.85/16.07 (step @p144 :rule eq-symm :args (@t131 @t60)) % 15.85/16.07 (step @p145 :rule cong :premises (@p144 @p143) :args (@t135)) % 15.85/16.07 (step @p146 :rule refl :args (@t136)) % 15.85/16.07 (step @p147 :rule nary_cong :premises (@p146 @p145) :args (@t137)) % 15.85/16.07 (step @p148 :rule cong :premises (@p147) :args (@t139)) % 15.85/16.07 (step @p149 :rule quant-merge-prenex :args ((= (forall @t28 @t141) @t139))) % 15.85/16.07 (step @p150 :rule alpha_equiv :args (@t142 (@list @t131) @t143)) % 15.85/16.07 (step @p151 :rule refl :args (@t136)) % 15.85/16.07 (step @p152 :rule nary_cong :premises (@p151 @p150) :args (@t144)) % 15.85/16.07 (step @p153 :rule quant-miniscope-or :args ((= @t141 @t144))) % 15.85/16.07 (step @p154 :rule trans :premises (@p153 @p152)) % 15.85/16.07 (step @p155 :rule symm :premises (@p154)) % 15.85/16.07 (step @p156 :rule cong :premises (@p155) :args ((forall @t28 (or @t136 @t145)))) % 15.85/16.07 (step @p157 :rule trans :premises (@p156 @p149)) % 15.85/16.07 (step @p158 :rule trans :premises (@p157 @p148)) % 15.85/16.07 (step @p159 :rule bool-impl-elim :args (@t50 @t145)) % 15.85/16.07 (step @p160 :rule cong :premises (@p159) :args ((forall @t28 (=> @t50 @t145)))) % 15.85/16.07 (step @p161 :rule trans :premises (@p160 @p158)) % 15.85/16.07 (step @p162 :rule exists-elim :args ((= @t57 @t133))) % 15.85/16.07 (step @p163 :rule refl :args (@t23)) % 15.85/16.07 (step @p164 :rule cong :premises (@p163 @p162) :args (@t58)) % 15.85/16.07 (step @p165 :rule cong :premises (@p164) :args (@t59)) % 15.85/16.07 (step @p166 :rule refl :args (@t61)) % 15.85/16.07 (step @p167 :rule cong :premises (@p166 @p165) :args (@t62)) % 15.85/16.07 (step @p168 :rule cong :premises (@p167) :args (@t63)) % 15.85/16.07 (step @p169 :rule refl :args (@t50)) % 15.85/16.07 (step @p170 :rule cong :premises (@p169 @p168) :args (@t64)) % 15.85/16.07 (step @p171 :rule cong :premises (@p170) :args (@t65)) % 15.85/16.07 (step @p172 :rule trans :premises (@p171 @p161)) % 15.85/16.07 (step @p173 :rule eq_resolve :premises (@p21 @p172)) % 15.85/16.07 (step @p174 :rule bool-eq-true :args (@t146)) % 15.85/16.07 (step @p175 :rule eq-symm :args (true @t146)) % 15.85/16.07 (step @p176 :rule trans :premises (@p175 @p174)) % 15.85/16.07 (step @p177 :rule refl :args (@t146)) % 15.85/16.07 (step @p178 :rule eq-refl :args (@t120)) % 15.85/16.07 (step @p179 :rule cong :premises (@p178 @p177) :args (@t147)) % 15.85/16.07 (step @p180 :rule trans :premises (@p179 @p176)) % 15.85/16.07 (step @p181 :rule refl :args (@t127)) % 15.85/16.07 (step @p182 :rule nary_cong :premises (@p181 @p180) :args (@t148)) % 15.85/16.07 (step @p183 :rule refl :args (@t149)) % 15.85/16.07 (step @p184 :rule cong :premises (@p183 @p182) :args ((=> @t149 @t148))) % 15.85/16.07 (assume-push @p301 @t149) % 15.85/16.07 (step @p186 :rule instantiate :premises (@p173) :args ((@list @t116 @t120))) % 15.85/16.07 (step-pop @p302 :rule scope :premises (@p186)) % 15.85/16.07 (step @p187 :rule process_scope :premises (@p302) :args (@t148)) % 15.85/16.07 (step @p189 :rule eq_resolve :premises (@p187 @p184)) % 15.85/16.07 (step @p190 :rule implies_elim :premises (@p189)) % 15.85/16.07 (step @p191 :rule chain_m_resolution :premises (@p190 @p173) :args (@t150 @t151 (@list @t149))) % 15.85/16.07 (step @p192 :rule bool-double-not-elim :args (@t126)) % 15.85/16.07 (step @p193 :rule nary_cong :premises (@p136 @p192) :args ((or @t128 (not @t127)))) % 15.85/16.07 (step @p194 :rule cnf_or_neg :args (@t128 0)) % 15.85/16.07 (step @p195 :rule eq_resolve :premises (@p194 @p193)) % 15.85/16.07 (step @p196 :rule reordering :premises (@p195) :args ((or @t126 @t128))) % 15.85/16.07 (step @p197 :rule chain_m_resolution :premises (@p196 @p134) :args (@t126 @t129 @t130)) % 15.85/16.07 (step @p198 :rule cnf_or_pos :args (@t150)) % 15.85/16.07 (step @p199 :rule reordering :premises (@p198) :args ((or @t127 @t146 (not @t150)))) % 15.85/16.07 (step @p200 :rule chain_m_resolution :premises (@p199 @p197 @p191) :args (@t146 @t152 (@list @t126 @t150))) % 15.85/16.07 (step @p201 :rule eq-symm :args (@t154 @t121)) % 15.85/16.07 (step @p202 :rule cong :premises (@p177 @p201) :args ((=> @t146 @t155))) % 15.85/16.07 (assume-push @p303 @t146) % 15.85/16.07 (step @p204 :rule instantiate :premises (@p200) :args (@t156)) % 15.85/16.07 (step-pop @p304 :rule scope :premises (@p204)) % 15.85/16.07 (step @p205 :rule process_scope :premises (@p304) :args (@t155)) % 15.85/16.07 (step @p207 :rule eq_resolve :premises (@p205 @p202)) % 15.85/16.07 (step @p208 :rule implies_elim :premises (@p207)) % 15.85/16.07 (step @p209 :rule chain_m_resolution :premises (@p208 @p200) :args (@t157 @t151 (@list @t146))) % 15.85/16.07 (step @p210 :rule eq-symm :args (@t159 @t160)) % 15.85/16.07 (step @p211 :rule cong :premises (@p210) :args (@t161)) % 15.85/16.07 (step @p212 :rule eq-symm :args (@t158 @t46)) % 15.85/16.07 (step @p213 :rule cong :premises (@p212 @p211) :args (@t162)) % 15.85/16.07 (step @p214 :rule nary_cong :premises (@p146 @p213) :args (@t163)) % 15.85/16.07 (step @p215 :rule cong :premises (@p214) :args (@t165)) % 15.85/16.07 (step @p216 :rule quant-merge-prenex :args ((= (forall @t28 @t167) @t165))) % 15.85/16.07 (step @p217 :rule alpha_equiv :args (@t168 (@list @t158) @t143)) % 15.85/16.07 (step @p218 :rule nary_cong :premises (@p151 @p217) :args (@t169)) % 15.85/16.07 (step @p219 :rule quant-miniscope-or :args ((= @t167 @t169))) % 15.85/16.07 (step @p220 :rule trans :premises (@p219 @p218)) % 15.85/16.07 (step @p221 :rule symm :premises (@p220)) % 15.85/16.07 (step @p222 :rule cong :premises (@p221) :args ((forall @t28 (or @t136 @t170)))) % 15.85/16.07 (step @p223 :rule trans :premises (@p222 @p216)) % 15.85/16.07 (step @p224 :rule trans :premises (@p223 @p215)) % 15.85/16.07 (step @p225 :rule bool-impl-elim :args (@t50 @t170)) % 15.85/16.07 (step @p226 :rule cong :premises (@p225) :args ((forall @t28 (=> @t50 @t170)))) % 15.85/16.07 (step @p227 :rule trans :premises (@p226 @p224)) % 15.85/16.07 (step @p228 :rule exists-elim :args ((= @t43 @t160))) % 15.85/16.07 (step @p229 :rule cong :premises (@p163 @p228) :args (@t44)) % 15.85/16.07 (step @p230 :rule cong :premises (@p229) :args (@t45)) % 15.85/16.07 (step @p231 :rule refl :args (@t47)) % 15.85/16.07 (step @p232 :rule cong :premises (@p231 @p230) :args (@t48)) % 15.85/16.07 (step @p233 :rule cong :premises (@p232) :args (@t49)) % 15.85/16.07 (step @p234 :rule cong :premises (@p169 @p233) :args (@t51)) % 15.85/16.07 (step @p235 :rule cong :premises (@p234) :args (@t52)) % 15.85/16.07 (step @p236 :rule trans :premises (@p235 @p227)) % 15.85/16.07 (step @p237 :rule eq_resolve :premises (@p17 @p236)) % 15.85/16.07 (step @p238 :rule bool-eq-true :args (@t171)) % 15.85/16.07 (step @p239 :rule eq-symm :args (true @t171)) % 15.85/16.07 (step @p240 :rule trans :premises (@p239 @p238)) % 15.85/16.07 (step @p241 :rule refl :args (@t171)) % 15.85/16.07 (step @p242 :rule eq-refl :args (@t122)) % 15.85/16.07 (step @p243 :rule cong :premises (@p242 @p241) :args (@t172)) % 15.85/16.07 (step @p244 :rule trans :premises (@p243 @p240)) % 15.85/16.07 (step @p245 :rule nary_cong :premises (@p181 @p244) :args (@t173)) % 15.85/16.07 (step @p246 :rule refl :args (@t174)) % 15.85/16.07 (step @p247 :rule cong :premises (@p246 @p245) :args ((=> @t174 @t173))) % 15.85/16.07 (assume-push @p305 @t174) % 15.85/16.07 (step @p249 :rule instantiate :premises (@p237) :args ((@list @t116 @t122))) % 15.85/16.07 (step-pop @p306 :rule scope :premises (@p249)) % 15.85/16.07 (step @p250 :rule process_scope :premises (@p306) :args (@t173)) % 15.85/16.07 (step @p252 :rule eq_resolve :premises (@p250 @p247)) % 15.85/16.07 (step @p253 :rule implies_elim :premises (@p252)) % 15.85/16.07 (step @p254 :rule chain_m_resolution :premises (@p253 @p237) :args (@t175 @t151 (@list @t174))) % 15.85/16.07 (step @p255 :rule cnf_or_pos :args (@t175)) % 15.85/16.07 (step @p256 :rule reordering :premises (@p255) :args ((or @t127 @t171 (not @t175)))) % 15.85/16.07 (step @p257 :rule chain_m_resolution :premises (@p256 @p197 @p254) :args (@t171 @t152 (@list @t126 @t175))) % 15.85/16.07 (step @p258 :rule eq-symm :args (@t177 @t123)) % 15.85/16.07 (step @p259 :rule cong :premises (@p241 @p258) :args ((=> @t171 @t178))) % 15.85/16.07 (assume-push @p307 @t171) % 15.85/16.07 (step @p261 :rule instantiate :premises (@p257) :args (@t179)) % 15.85/16.07 (step-pop @p308 :rule scope :premises (@p261)) % 15.85/16.07 (step @p262 :rule process_scope :premises (@p308) :args (@t178)) % 15.85/16.07 (step @p264 :rule eq_resolve :premises (@p262 @p259)) % 15.85/16.07 (step @p265 :rule implies_elim :premises (@p264)) % 15.85/16.07 (step @p266 :rule chain_m_resolution :premises (@p265 @p257) :args (@t180 @t151 (@list @t171))) % 15.85/16.07 (assume-push @p309 @t176) % 15.85/16.07 (step @p268 :rule instantiate :premises (@p309) :args (@t156)) % 15.85/16.07 (step-pop @p310 :rule scope :premises (@p268)) % 15.85/16.07 (step @p269 :rule process_scope :premises (@p310) :args (@t125)) % 15.85/16.07 (step @p271 :rule implies_elim :premises (@p269)) % 15.85/16.07 (step @p272 :rule reordering :premises (@p271) :args ((or @t125 @t177))) % 15.85/16.07 (step @p273 :rule chain_m_resolution :premises (@p272 @p141) :args (@t177 @t151 (@list @t119))) % 15.85/16.07 (step @p274 :rule bool-double-not-elim :args (@t176)) % 15.85/16.07 (step @p275 :rule refl :args (@t123)) % 15.85/16.07 (step @p276 :rule refl :args (@t181)) % 15.85/16.07 (step @p277 :rule nary_cong :premises (@p276 @p275 @p274) :args ((or @t181 @t123 (not @t177)))) % 15.85/16.07 (step @p278 :rule cnf_equiv_pos2 :args (@t180)) % 15.85/16.07 (step @p279 :rule eq_resolve :premises (@p278 @p277)) % 15.85/16.07 (step @p280 :rule reordering :premises (@p279) :args ((or @t123 @t176 @t181))) % 15.85/16.07 (step @p281 :rule chain_m_resolution :premises (@p280 @p273 @p266) :args (@t123 @t182 (@list @t176 @t180))) % 15.85/16.07 (step @p282 :rule cnf_or_neg :args (@t128 2)) % 15.85/16.07 (step @p283 :rule chain_m_resolution :premises (@p282 @p134) :args ((not @t124) @t129 @t130)) % 15.85/16.07 (step @p284 :rule cnf_and_neg :args (@t124)) % 15.85/16.07 (step @p285 :rule chain_m_resolution :premises (@p284 @p283 @p281) :args ((not @t121) @t182 (@list @t124 @t123))) % 15.85/16.07 (step @p286 :rule bool-double-not-elim :args (@t153)) % 15.85/16.07 (step @p287 :rule refl :args (@t121)) % 15.85/16.07 (step @p288 :rule refl :args (@t183)) % 15.85/16.07 (step @p289 :rule nary_cong :premises (@p288 @p287 @p286) :args ((or @t183 @t121 (not @t154)))) % 15.85/16.07 (step @p290 :rule cnf_equiv_pos2 :args (@t157)) % 15.85/16.07 (step @p291 :rule eq_resolve :premises (@p290 @p289)) % 15.85/16.07 (step @p292 :rule reordering :premises (@p291) :args ((or @t121 @t153 @t183))) % 15.85/16.07 (step @p293 :rule chain_m_resolution :premises (@p292 @p285 @p209) :args (@t153 @t182 (@list @t121 @t157))) % 15.85/16.07 (assume-push @p311 @t153) % 15.85/16.07 (step @p295 :rule instantiate :premises (@p311) :args (@t179)) % 15.85/16.07 (step-pop @p312 :rule scope :premises (@p295)) % 15.85/16.07 (step @p296 :rule process_scope :premises (@p312) :args (@t125)) % 15.85/16.07 (step @p298 :rule implies_elim :premises (@p296)) % 15.85/16.07 (step @p299 :rule reordering :premises (@p298) :args ((or @t125 @t154))) % 15.85/16.07 (step @p300 false :rule chain_m_resolution :premises (@p299 @p293 @p141) :args (false @t152 (@list @t153 @t119))) % 15.85/16.07 ) % 15.85/16.07 % SZS output end Proof % 15.85/16.07 % cvc5 exiting %------------------------------------------------------------------------------