%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU270+1 : 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 : n020.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 08:51:12 AM UTC 2026 % Result : Theorem 0.38s 1.00s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SEU270+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n020.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:49:40 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/1.00 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/1.00 % SZS status Theorem % 0.38/1.00 % SZS output start Proof % 0.38/1.00 ( % 0.38/1.00 (declare-sort $$unsorted 0) % 0.38/1.00 (declare-const tptp.empty_set $$unsorted) % 0.38/1.00 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.connected (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.ordinal_subset (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/1.00 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.38/1.00 (declare-const tptp.is_connected_in (-> $$unsorted $$unsorted Bool)) % 0.38/1.00 (define @t1 () (@var "A" $$unsorted)) % 0.38/1.00 (define @t2 () (@var "B" $$unsorted)) % 0.38/1.00 (define @t3 () (tptp.in @t1 @t2)) % 0.38/1.00 (define @t4 () (@list @t1 @t2)) % 0.38/1.00 (define @t5 () (tptp.function @t1)) % 0.38/1.00 (define @t6 () (tptp.empty @t1)) % 0.38/1.00 (define @t7 () (@list @t1)) % 0.38/1.00 (define @t8 () (tptp.epsilon_connected @t1)) % 0.38/1.00 (define @t9 () (tptp.epsilon_transitive @t1)) % 0.38/1.00 (define @t10 () (and @t9 @t8)) % 0.38/1.00 (define @t11 () (tptp.ordinal @t1)) % 0.38/1.00 (define @t12 () (tptp.one_to_one @t1)) % 0.38/1.00 (define @t13 () (tptp.relation @t1)) % 0.38/1.00 (define @t14 () (and @t13 @t5 @t12)) % 0.38/1.00 (define @t15 () (and @t13 @t6 @t5)) % 0.38/1.00 (define @t16 () (and @t9 @t8 @t11)) % 0.38/1.00 (define @t17 () (tptp.unordered_pair @t1 @t2)) % 0.38/1.00 (define @t18 () (tptp.set_union2 @t2 @t1)) % 0.38/1.00 (define @t19 () (tptp.set_union2 @t1 @t2)) % 0.38/1.00 (define @t20 () (tptp.ordinal_subset @t2 @t1)) % 0.38/1.00 (define @t21 () (tptp.ordinal_subset @t1 @t2)) % 0.38/1.00 (define @t22 () (or @t21 @t20)) % 0.38/1.00 (define @t23 () (tptp.ordinal @t2)) % 0.38/1.00 (define @t24 () (and @t11 @t23)) % 0.38/1.00 (define @t25 () (forall @t4 (=> @t24 @t22))) % 0.38/1.00 (define @t26 () (tptp.relation_field @t1)) % 0.38/1.00 (define @t27 () (= (tptp.connected @t1) (tptp.is_connected_in @t1 @t26))) % 0.38/1.00 (define @t28 () (forall @t7 (=> @t13 @t27))) % 0.38/1.00 (define @t29 () (@var "D" $$unsorted)) % 0.38/1.00 (define @t30 () (@var "C" $$unsorted)) % 0.38/1.00 (define @t31 () (tptp.subset @t30 @t29)) % 0.38/1.00 (define @t32 () (tptp.ordered_pair @t30 @t29)) % 0.38/1.00 (define @t33 () (= (tptp.in @t32 @t2) @t31)) % 0.38/1.00 (define @t34 () (tptp.in @t29 @t1)) % 0.38/1.00 (define @t35 () (tptp.in @t30 @t1)) % 0.38/1.00 (define @t36 () (and @t35 @t34)) % 0.38/1.00 (define @t37 () (@list @t30 @t29)) % 0.38/1.00 (define @t38 () (forall @t37 (=> @t36 @t33))) % 0.38/1.00 (define @t39 () (tptp.relation_field @t2)) % 0.38/1.00 (define @t40 () (and (= @t39 @t1) @t38)) % 0.38/1.00 (define @t41 () (tptp.inclusion_relation @t1)) % 0.38/1.00 (define @t42 () (= @t2 @t41)) % 0.38/1.00 (define @t43 () (= @t42 @t40)) % 0.38/1.00 (define @t44 () (tptp.relation @t2)) % 0.38/1.00 (define @t45 () (=> @t44 @t43)) % 0.38/1.00 (define @t46 () (forall @t4 @t45)) % 0.38/1.00 (define @t47 () (tptp.ordered_pair @t1 @t2)) % 0.38/1.00 (define @t48 () (tptp.ordered_pair @t29 @t30)) % 0.38/1.00 (define @t49 () (tptp.in @t48 @t1)) % 0.38/1.00 (define @t50 () (not @t49)) % 0.38/1.00 (define @t51 () (tptp.in @t32 @t1)) % 0.38/1.00 (define @t52 () (not @t51)) % 0.38/1.00 (define @t53 () (= @t30 @t29)) % 0.38/1.00 (define @t54 () (not @t53)) % 0.38/1.00 (define @t55 () (tptp.in @t29 @t2)) % 0.38/1.00 (define @t56 () (tptp.in @t30 @t2)) % 0.38/1.00 (define @t57 () (forall @t37 (not (and @t56 @t55 @t54 @t52 @t50)))) % 0.38/1.00 (define @t58 () (tptp.is_connected_in @t1 @t2)) % 0.38/1.00 (define @t59 () (= @t58 @t57)) % 0.38/1.00 (define @t60 () (@list @t2)) % 0.38/1.00 (define @t61 () (forall @t60 @t59)) % 0.38/1.00 (define @t62 () (=> @t13 @t61)) % 0.38/1.00 (define @t63 () (forall @t7 @t62)) % 0.38/1.00 (define @t64 () (tptp.empty tptp.empty_set)) % 0.38/1.00 (define @t65 () (not @t6)) % 0.38/1.00 (define @t66 () (tptp.subset @t1 @t2)) % 0.38/1.00 (define @t67 () (= @t21 @t66)) % 0.38/1.00 (define @t68 () (forall @t4 (=> @t24 @t67))) % 0.38/1.00 (define @t69 () (tptp.element @t1 @t2)) % 0.38/1.00 (define @t70 () (=> @t3 @t11)) % 0.38/1.00 (define @t71 () (forall @t4 (=> @t23 @t70))) % 0.38/1.00 (define @t72 () (tptp.empty @t2)) % 0.38/1.00 (define @t73 () (tptp.element @t2 (tptp.powerset @t30))) % 0.38/1.00 (define @t74 () (@list @t1 @t2 @t30)) % 0.38/1.00 (define @t75 () (tptp.connected @t41)) % 0.38/1.00 (define @t76 () (forall @t7 (=> @t11 @t75))) % 0.38/1.00 (define @t77 () (not @t76)) % 0.38/1.00 (define @t78 () (@var "BOUND_VARIABLE_7700" $$unsorted)) % 0.38/1.00 (define @t79 () (= (tptp.is_connected_in @t1 @t78) (forall @t37 (or (not (tptp.in @t30 @t78)) (not (tptp.in @t29 @t78)) @t53 @t51 @t49)))) % 0.38/1.00 (define @t80 () (not @t13)) % 0.38/1.00 (define @t81 () (or @t80 @t79)) % 0.38/1.00 (define @t82 () (@list @t78)) % 0.38/1.00 (define @t83 () (forall @t82 @t81)) % 0.38/1.00 (define @t84 () (forall @t82 @t79)) % 0.38/1.00 (define @t85 () (or @t80 @t84)) % 0.38/1.00 (define @t86 () (not @t55)) % 0.38/1.00 (define @t87 () (not @t56)) % 0.38/1.00 (define @t88 () (forall @t60 (= @t58 (forall @t37 (or @t87 @t86 @t53 @t51 @t49))))) % 0.38/1.00 (define @t89 () (not @t50)) % 0.38/1.00 (define @t90 () (not @t52)) % 0.38/1.00 (define @t91 () (not @t54)) % 0.38/1.00 (define @t92 () (or @t87 @t86 @t91 @t90 @t89)) % 0.38/1.00 (define @t93 () (not @t11)) % 0.38/1.00 (define @t94 () (@quantifiers_skolemize (forall @t7 (or @t93 @t75)) 0)) % 0.38/1.00 (define @t95 () (tptp.inclusion_relation @t94)) % 0.38/1.00 (define @t96 () (tptp.relation_field @t95)) % 0.38/1.00 (define @t97 () (tptp.in @t32 @t95)) % 0.38/1.00 (define @t98 () (forall @t37 (or (not (tptp.in @t30 @t96)) (not (tptp.in @t29 @t96)) @t53 @t97 (tptp.in @t48 @t95)))) % 0.38/1.00 (define @t99 () (tptp.is_connected_in @t95 @t96)) % 0.38/1.00 (define @t100 () (= @t99 @t98)) % 0.38/1.00 (define @t101 () (tptp.relation @t95)) % 0.38/1.00 (define @t102 () (not @t101)) % 0.38/1.00 (define @t103 () (or @t102 @t100)) % 0.38/1.00 (define @t104 () (@list false false)) % 0.38/1.00 (define @t105 () (tptp.connected @t95)) % 0.38/1.00 (define @t106 () (= @t105 @t99)) % 0.38/1.00 (define @t107 () (or @t102 @t106)) % 0.38/1.00 (define @t108 () (tptp.ordinal @t94)) % 0.38/1.00 (define @t109 () (not @t108)) % 0.38/1.00 (define @t110 () (or @t109 @t105)) % 0.38/1.00 (define @t111 () (@list true)) % 0.38/1.00 (define @t112 () (@list @t110)) % 0.38/1.00 (define @t113 () (not @t99)) % 0.38/1.00 (define @t114 () (@list true false)) % 0.38/1.00 (define @t115 () (not @t98)) % 0.38/1.00 (define @t116 () (@quantifiers_skolemize @t98 0)) % 0.38/1.00 (define @t117 () (tptp.in @t116 @t96)) % 0.38/1.00 (define @t118 () (@quantifiers_skolemize @t98 1)) % 0.38/1.00 (define @t119 () (tptp.in (tptp.ordered_pair @t118 @t116) @t95)) % 0.38/1.00 (define @t120 () (tptp.in (tptp.ordered_pair @t116 @t118) @t95)) % 0.38/1.00 (define @t121 () (tptp.in @t118 @t96)) % 0.38/1.00 (define @t122 () (not @t121)) % 0.38/1.00 (define @t123 () (not @t117)) % 0.38/1.00 (define @t124 () (or @t123 @t122 (= @t116 @t118) @t120 @t119)) % 0.38/1.00 (define @t125 () (@list @t124)) % 0.38/1.00 (define @t126 () (not @t34)) % 0.38/1.00 (define @t127 () (not @t35)) % 0.38/1.00 (define @t128 () (or @t127 @t126 @t33)) % 0.38/1.00 (define @t129 () (= @t42 (and (= @t1 @t39) (forall @t37 @t128)))) % 0.38/1.00 (define @t130 () (not (tptp.in @t29 @t94))) % 0.38/1.00 (define @t131 () (not (tptp.in @t30 @t94))) % 0.38/1.00 (define @t132 () (forall @t37 (or @t131 @t130 (= @t31 @t97)))) % 0.38/1.00 (define @t133 () (= @t94 @t96)) % 0.38/1.00 (define @t134 () (and @t133 @t132)) % 0.38/1.00 (define @t135 () (or @t131 @t130 (= @t97 @t31))) % 0.38/1.00 (define @t136 () (forall @t37 @t135)) % 0.38/1.00 (define @t137 () (and @t133 @t136)) % 0.38/1.00 (define @t138 () (= (= @t95 @t95) @t137)) % 0.38/1.00 (define @t139 () (or @t102 @t138)) % 0.38/1.00 (define @t140 () (forall @t4 (or (not @t44) @t129))) % 0.38/1.00 (define @t141 () (or @t102 @t134)) % 0.38/1.00 (define @t142 () (@list false)) % 0.38/1.00 (define @t143 () (not @t134)) % 0.38/1.00 (define @t144 () (@list @t134)) % 0.38/1.00 (define @t145 () (tptp.in @t116 @t94)) % 0.38/1.00 (define @t146 () (tptp.in @t118 @t94)) % 0.38/1.00 (define @t147 () (not @t23)) % 0.38/1.00 (define @t148 () (or @t93 @t147 @t67)) % 0.38/1.00 (define @t149 () (or @t93 @t147)) % 0.38/1.00 (define @t150 () (not @t24)) % 0.38/1.00 (define @t151 () (tptp.ordinal_subset @t118 @t116)) % 0.38/1.00 (define @t152 () (tptp.subset @t118 @t116)) % 0.38/1.00 (define @t153 () (tptp.ordinal @t116)) % 0.38/1.00 (define @t154 () (not @t153)) % 0.38/1.00 (define @t155 () (tptp.ordinal @t118)) % 0.38/1.00 (define @t156 () (not @t155)) % 0.38/1.00 (define @t157 () (or @t156 @t154 (= @t151 @t152))) % 0.38/1.00 (define @t158 () (forall @t4 @t148)) % 0.38/1.00 (define @t159 () (@list @t118 @t116)) % 0.38/1.00 (define @t160 () (= @t152 @t151)) % 0.38/1.00 (define @t161 () (or @t156 @t154 @t160)) % 0.38/1.00 (define @t162 () (@list @t158)) % 0.38/1.00 (define @t163 () (not @t3)) % 0.38/1.00 (define @t164 () (tptp.ordinal @t96)) % 0.38/1.00 (define @t165 () (not @t164)) % 0.38/1.00 (define @t166 () (or @t165 @t122 @t155)) % 0.38/1.00 (define @t167 () (@list false false false)) % 0.38/1.00 (define @t168 () (or @t165 @t123 @t153)) % 0.38/1.00 (define @t169 () (@list @t116 @t118)) % 0.38/1.00 (define @t170 () (tptp.ordinal_subset @t116 @t118)) % 0.38/1.00 (define @t171 () (tptp.subset @t116 @t118)) % 0.38/1.00 (define @t172 () (or @t154 @t156 (= @t170 @t171))) % 0.38/1.00 (define @t173 () (= @t171 @t170)) % 0.38/1.00 (define @t174 () (or @t154 @t156 @t173)) % 0.38/1.00 (define @t175 () (not @t146)) % 0.38/1.00 (define @t176 () (not @t145)) % 0.38/1.00 (define @t177 () (or @t176 @t175 (= @t171 @t120))) % 0.38/1.00 (define @t178 () (= @t120 @t171)) % 0.38/1.00 (define @t179 () (or @t176 @t175 @t178)) % 0.38/1.00 (define @t180 () (@list @t132)) % 0.38/1.00 (define @t181 () (not @t171)) % 0.38/1.00 (define @t182 () (not @t170)) % 0.38/1.00 (define @t183 () (or @t154 @t156 @t170 @t151)) % 0.38/1.00 (define @t184 () (= @t119 @t152)) % 0.38/1.00 (define @t185 () (not @t184)) % 0.38/1.00 (define @t186 () (or @t175 @t176 (= @t152 @t119))) % 0.38/1.00 (define @t187 () (or @t175 @t176 @t184)) % 0.38/1.00 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/1.00 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.38/1.00 (assume @p3 (forall @t7 (=> @t11 @t10))) % 0.38/1.00 (assume @p4 (forall @t7 (=> @t15 @t14))) % 0.38/1.00 (assume @p5 (forall @t7 (=> @t10 @t11))) % 0.38/1.00 (assume @p6 (forall @t7 (=> @t6 @t16))) % 0.38/1.00 (assume @p7 (forall @t4 (= @t17 (tptp.unordered_pair @t2 @t1)))) % 0.38/1.00 (assume @p8 (forall @t4 (= @t19 @t18))) % 0.38/1.00 (assume @p9 @t25) % 0.38/1.00 (assume @p10 @t28) % 0.38/1.00 (assume @p11 @t46) % 0.38/1.00 (assume @p12 (forall @t4 (= @t47 (tptp.unordered_pair @t17 (tptp.singleton @t1))))) % 0.38/1.00 (assume @p13 (forall @t7 (=> @t13 (= @t26 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))))) % 0.38/1.00 (assume @p14 @t63) % 0.38/1.00 (assume @p15 true) % 0.38/1.00 (assume @p16 (forall @t7 (tptp.relation @t41))) % 0.38/1.00 (assume @p17 (forall @t7 (exists @t60 (tptp.element @t2 @t1)))) % 0.38/1.00 (assume @p18 @t64) % 0.38/1.00 (assume @p19 (forall @t4 (not (tptp.empty @t47)))) % 0.38/1.00 (assume @p20 (and (tptp.relation tptp.empty_set) (tptp.relation_empty_yielding tptp.empty_set) (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t64 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.38/1.00 (assume @p21 (forall @t4 (=> @t65 (not (tptp.empty @t19))))) % 0.38/1.00 (assume @p22 (forall @t4 (=> @t65 (not (tptp.empty @t18))))) % 0.38/1.00 (assume @p23 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.38/1.00 (assume @p24 (exists @t7 (and @t13 @t5))) % 0.38/1.00 (assume @p25 (exists @t7 @t16)) % 0.38/1.00 (assume @p26 (exists @t7 @t6)) % 0.38/1.00 (assume @p27 (exists @t7 @t15)) % 0.38/1.00 (assume @p28 (exists @t7 (and @t13 @t5 @t12 @t6 @t9 @t8 @t11))) % 0.38/1.00 (assume @p29 (exists @t7 @t65)) % 0.38/1.00 (assume @p30 (exists @t7 @t14)) % 0.38/1.00 (assume @p31 (exists @t7 (and @t65 @t9 @t8 @t11))) % 0.38/1.00 (assume @p32 (exists @t7 (and @t13 (tptp.relation_empty_yielding @t1) @t5))) % 0.38/1.00 (assume @p33 @t68) % 0.38/1.00 (assume @p34 (forall @t4 (=> @t24 (tptp.ordinal_subset @t1 @t1)))) % 0.38/1.00 (assume @p35 (forall @t4 (tptp.subset @t1 @t1))) % 0.38/1.00 (assume @p36 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.38/1.00 (assume @p37 (forall @t4 (=> @t3 @t69))) % 0.38/1.00 (assume @p38 @t71) % 0.38/1.00 (assume @p39 (forall @t4 (=> @t69 (or @t72 @t3)))) % 0.38/1.00 (assume @p40 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t66))) % 0.38/1.00 (assume @p41 (forall @t74 (=> (and @t3 @t73) (tptp.element @t1 @t30)))) % 0.38/1.00 (assume @p42 @t77) % 0.38/1.00 (assume @p43 (forall @t74 (not (and @t3 @t73 (tptp.empty @t30))))) % 0.38/1.00 (assume @p44 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.38/1.00 (assume @p45 (forall @t4 (not (and @t3 @t72)))) % 0.38/1.00 (assume @p46 (forall @t4 (not (and @t6 (not (= @t1 @t2)) @t72)))) % 0.38/1.00 (step @p47 :rule quant-merge-prenex :args ((= (forall @t7 @t83) (forall (@list @t1 @t78) @t81)))) % 0.38/1.00 (step @p48 :rule alpha_equiv :args (@t84 (@list @t78) (@list @t2))) % 0.38/1.00 (step @p49 :rule refl :args (@t80)) % 0.38/1.00 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t85)) % 0.38/1.00 (step @p51 :rule quant-miniscope-or :args ((= @t83 @t85))) % 0.38/1.00 (step @p52 :rule trans :premises (@p51 @p50)) % 0.38/1.00 (step @p53 :rule symm :premises (@p52)) % 0.38/1.00 (step @p54 :rule cong :premises (@p53) :args ((forall @t7 (or @t80 @t88)))) % 0.38/1.00 (step @p55 :rule trans :premises (@p54 @p47)) % 0.38/1.00 (step @p56 :rule bool-impl-elim :args (@t13 @t88)) % 0.38/1.00 (step @p57 :rule cong :premises (@p56) :args ((forall 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:rule eq-symm :args (@t171 @t120)) % 0.38/1.01 (step @p266 :rule refl :args (@t175)) % 0.38/1.01 (step @p267 :rule refl :args (@t176)) % 0.38/1.01 (step @p268 :rule nary_cong :premises (@p267 @p266 @p265) :args (@t177)) % 0.38/1.01 (step @p269 :rule refl :args (@t132)) % 0.38/1.01 (step @p270 :rule cong :premises (@p269 @p268) :args ((=> @t132 @t177))) % 0.38/1.01 (assume-push @p319 @t132) % 0.38/1.01 (step @p272 :rule instantiate :premises (@p264) :args (@t169)) % 0.38/1.01 (step-pop @p320 :rule scope :premises (@p272)) % 0.38/1.01 (step @p273 :rule process_scope :premises (@p320) :args (@t177)) % 0.38/1.01 (step @p275 :rule eq_resolve :premises (@p273 @p270)) % 0.38/1.01 (step @p276 :rule implies_elim :premises (@p275)) % 0.38/1.01 (step @p277 :rule chain_m_resolution :premises (@p276 @p264) :args (@t179 @t142 @t180)) % 0.38/1.01 (step @p278 :rule cnf_or_pos :args (@t179)) % 0.38/1.01 (step @p279 :rule reordering :premises (@p278) :args ((or @t176 @t175 @t178 (not @t179)))) % 0.38/1.01 (step @p280 :rule chain_m_resolution :premises (@p279 @p174 @p185 @p277) :args (@t178 @t167 (@list @t145 @t146 @t179))) % 0.38/1.01 (step @p281 :rule cnf_or_neg :args (@t124 3)) % 0.38/1.01 (step @p282 :rule chain_m_resolution :premises (@p281 @p113) :args ((not @t120) @t111 @t125)) % 0.38/1.01 (step @p283 :rule cnf_equiv_pos2 :args (@t178)) % 0.38/1.01 (step @p284 :rule reordering :premises (@p283) :args ((or @t120 @t181 (not @t178)))) % 0.38/1.01 (step @p285 :rule chain_m_resolution :premises (@p284 @p282 @p280) :args (@t181 @t114 (@list @t120 @t178))) % 0.38/1.01 (step @p286 :rule cnf_equiv_pos2 :args (@t173)) % 0.38/1.01 (step @p287 :rule reordering :premises (@p286) :args ((or @t171 @t182 (not @t173)))) % 0.38/1.01 (step @p288 :rule chain_m_resolution :premises (@p287 @p285 @p261) :args (@t182 @t114 (@list @t171 @t173))) % 0.38/1.01 (step @p289 :rule cnf_or_pos :args (@t183)) % 0.38/1.01 (step @p290 :rule reordering :premises (@p289) :args ((or @t154 @t156 @t170 @t151 (not @t183)))) % 0.38/1.01 (step @p291 :rule chain_m_resolution :premises (@p290 @p236 @p232 @p288 @p248) :args (@t151 (@list false false true false) (@list @t153 @t155 @t170 @t183))) % 0.38/1.01 (step @p292 :rule cnf_equiv_pos2 :args (@t160)) % 0.38/1.01 (step @p293 :rule reordering :premises (@p292) :args ((or @t152 (not @t151) (not @t160)))) % 0.38/1.01 (step @p294 :rule chain_m_resolution :premises (@p293 @p291 @p239) :args (@t152 @t104 (@list @t151 @t160))) % 0.38/1.01 (step @p295 :rule cnf_or_neg :args (@t124 4)) % 0.38/1.01 (step @p296 :rule chain_m_resolution :premises (@p295 @p113) :args ((not @t119) @t111 @t125)) % 0.38/1.01 (step @p297 :rule cnf_equiv_pos2 :args (@t184)) % 0.38/1.01 (step @p298 :rule reordering :premises (@p297) :args ((or @t119 (not @t152) @t185))) % 0.38/1.01 (step @p299 :rule chain_m_resolution :premises (@p298 @p296 @p294) :args (@t185 @t114 (@list @t119 @t152))) % 0.38/1.01 (step @p300 :rule eq-symm :args (@t152 @t119)) % 0.38/1.01 (step @p301 :rule nary_cong :premises (@p266 @p267 @p300) :args (@t186)) % 0.38/1.01 (step @p302 :rule cong :premises (@p269 @p301) :args ((=> @t132 @t186))) % 0.38/1.01 (assume-push @p321 @t132) % 0.38/1.01 (step @p304 :rule instantiate :premises (@p264) :args (@t159)) % 0.38/1.01 (step-pop @p322 :rule scope :premises (@p304)) % 0.38/1.01 (step @p305 :rule process_scope :premises (@p322) :args (@t186)) % 0.38/1.01 (step @p307 :rule eq_resolve :premises (@p305 @p302)) % 0.38/1.01 (step @p308 :rule implies_elim :premises (@p307)) % 0.38/1.01 (step @p309 :rule chain_m_resolution :premises (@p308 @p264) :args (@t187 @t142 @t180)) % 0.38/1.01 (step @p310 :rule cnf_or_pos :args (@t187)) % 0.38/1.01 (step @p311 :rule reordering :premises (@p310) :args ((or @t176 @t175 @t184 (not @t187)))) % 0.38/1.01 (step @p312 false :rule chain_m_resolution :premises (@p311 @p309 @p299 @p185 @p174) :args (false (@list false true false false) (@list @t187 @t184 @t146 @t145))) % 0.38/1.01 ) % 0.38/1.01 % SZS output end Proof % 0.38/1.01 % cvc5 exiting %------------------------------------------------------------------------------