%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU271+1 : 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 : n006.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 0.46s 0.68s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU271+1 : TPTP v9.2.1. Released v3.3.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n006.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 16:49:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.46/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.68 % SZS status Theorem % 0.46/0.68 % SZS output start Proof % 0.46/0.68 ( % 0.46/0.68 (declare-sort $$unsorted 0) % 0.46/0.68 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.empty_set $$unsorted) % 0.46/0.68 (declare-const tptp.inclusion_relation (-> $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.antisymmetric (-> $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.function (-> $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.46/0.68 (declare-const tptp.relation_field (-> $$unsorted $$unsorted)) % 0.46/0.68 (declare-const tptp.is_antisymmetric_in (-> $$unsorted $$unsorted Bool)) % 0.46/0.68 (define @t1 () (@var "A" $$unsorted)) % 0.46/0.68 (define @t2 () (@var "B" $$unsorted)) % 0.46/0.68 (define @t3 () (tptp.in @t1 @t2)) % 0.46/0.68 (define @t4 () (@list @t1 @t2)) % 0.46/0.68 (define @t5 () (tptp.function @t1)) % 0.46/0.68 (define @t6 () (tptp.empty @t1)) % 0.46/0.68 (define @t7 () (@list @t1)) % 0.46/0.68 (define @t8 () (tptp.epsilon_connected @t1)) % 0.46/0.68 (define @t9 () (tptp.epsilon_transitive @t1)) % 0.46/0.68 (define @t10 () (and @t9 @t8)) % 0.46/0.68 (define @t11 () (tptp.ordinal @t1)) % 0.46/0.68 (define @t12 () (tptp.one_to_one @t1)) % 0.46/0.68 (define @t13 () (tptp.relation @t1)) % 0.46/0.68 (define @t14 () (and @t13 @t5 @t12)) % 0.46/0.69 (define @t15 () (and @t13 @t6 @t5)) % 0.46/0.69 (define @t16 () (and @t9 @t8 @t11)) % 0.46/0.69 (define @t17 () (tptp.unordered_pair @t1 @t2)) % 0.46/0.69 (define @t18 () (tptp.set_union2 @t2 @t1)) % 0.46/0.69 (define @t19 () (tptp.set_union2 @t1 @t2)) % 0.46/0.69 (define @t20 () (tptp.subset @t1 @t2)) % 0.46/0.69 (define @t21 () (= @t1 @t2)) % 0.46/0.69 (define @t22 () (tptp.relation_field @t1)) % 0.46/0.69 (define @t23 () (= (tptp.antisymmetric @t1) (tptp.is_antisymmetric_in @t1 @t22))) % 0.46/0.69 (define @t24 () (forall @t7 (=> @t13 @t23))) % 0.46/0.69 (define @t25 () (@var "D" $$unsorted)) % 0.46/0.69 (define @t26 () (@var "C" $$unsorted)) % 0.46/0.69 (define @t27 () (tptp.subset @t26 @t25)) % 0.46/0.69 (define @t28 () (tptp.ordered_pair @t26 @t25)) % 0.46/0.69 (define @t29 () (= (tptp.in @t28 @t2) @t27)) % 0.46/0.69 (define @t30 () (tptp.in @t25 @t1)) % 0.46/0.69 (define @t31 () (tptp.in @t26 @t1)) % 0.46/0.69 (define @t32 () (and @t31 @t30)) % 0.46/0.69 (define @t33 () (@list @t26 @t25)) % 0.46/0.69 (define @t34 () (forall @t33 (=> @t32 @t29))) % 0.46/0.69 (define @t35 () (tptp.relation_field @t2)) % 0.46/0.69 (define @t36 () (and (= @t35 @t1) @t34)) % 0.46/0.69 (define @t37 () (tptp.inclusion_relation @t1)) % 0.46/0.69 (define @t38 () (= @t2 @t37)) % 0.46/0.69 (define @t39 () (= @t38 @t36)) % 0.46/0.69 (define @t40 () (tptp.relation @t2)) % 0.46/0.69 (define @t41 () (=> @t40 @t39)) % 0.46/0.69 (define @t42 () (forall @t4 @t41)) % 0.46/0.69 (define @t43 () (= @t26 @t25)) % 0.46/0.69 (define @t44 () (tptp.ordered_pair @t25 @t26)) % 0.46/0.69 (define @t45 () (tptp.in @t44 @t1)) % 0.46/0.69 (define @t46 () (tptp.in @t28 @t1)) % 0.46/0.69 (define @t47 () (tptp.in @t25 @t2)) % 0.46/0.69 (define @t48 () (tptp.in @t26 @t2)) % 0.46/0.69 (define @t49 () (and @t48 @t47 @t46 @t45)) % 0.46/0.69 (define @t50 () (forall @t33 (=> @t49 @t43))) % 0.46/0.69 (define @t51 () (tptp.is_antisymmetric_in @t1 @t2)) % 0.46/0.69 (define @t52 () (= @t51 @t50)) % 0.46/0.69 (define @t53 () (@list @t2)) % 0.46/0.69 (define @t54 () (forall @t53 @t52)) % 0.46/0.69 (define @t55 () (=> @t13 @t54)) % 0.46/0.69 (define @t56 () (forall @t7 @t55)) % 0.46/0.69 (define @t57 () (tptp.ordered_pair @t1 @t2)) % 0.46/0.69 (define @t58 () (tptp.empty tptp.empty_set)) % 0.46/0.69 (define @t59 () (not @t6)) % 0.46/0.69 (define @t60 () (tptp.element @t1 @t2)) % 0.46/0.69 (define @t61 () (tptp.empty @t2)) % 0.46/0.69 (define @t62 () (tptp.element @t2 (tptp.powerset @t26))) % 0.46/0.69 (define @t63 () (@list @t1 @t2 @t26)) % 0.46/0.69 (define @t64 () (forall @t7 (tptp.antisymmetric @t37))) % 0.46/0.69 (define @t65 () (@quantifiers_skolemize @t64 0)) % 0.46/0.69 (define @t66 () (tptp.inclusion_relation @t65)) % 0.46/0.69 (define @t67 () (tptp.in @t28 @t66)) % 0.46/0.69 (define @t68 () (tptp.relation_field @t66)) % 0.46/0.69 (define @t69 () (forall @t33 (or (not (tptp.in @t26 @t68)) (not (tptp.in @t25 @t68)) (not @t67) (not (tptp.in @t44 @t66)) @t43))) % 0.46/0.69 (define @t70 () (@quantifiers_skolemize @t69 1)) % 0.46/0.69 (define @t71 () (@quantifiers_skolemize @t69 0)) % 0.46/0.69 (define @t72 () (@list @t71 @t70)) % 0.46/0.69 (define @t73 () (not @t45)) % 0.46/0.69 (define @t74 () (not @t46)) % 0.46/0.69 (define @t75 () (@var "BOUND_VARIABLE_7678" $$unsorted)) % 0.46/0.69 (define @t76 () (= (tptp.is_antisymmetric_in @t1 @t75) (forall @t33 (or (not (tptp.in @t26 @t75)) (not (tptp.in @t25 @t75)) @t74 @t73 @t43)))) % 0.46/0.69 (define @t77 () (not @t13)) % 0.46/0.69 (define @t78 () (or @t77 @t76)) % 0.46/0.69 (define @t79 () (@list @t75)) % 0.46/0.69 (define @t80 () (forall @t79 @t78)) % 0.46/0.69 (define @t81 () (forall @t79 @t76)) % 0.46/0.69 (define @t82 () (or @t77 @t81)) % 0.46/0.69 (define @t83 () (not @t47)) % 0.46/0.69 (define @t84 () (not @t48)) % 0.46/0.69 (define @t85 () (or @t84 @t83 @t74 @t73 @t43)) % 0.46/0.69 (define @t86 () (forall @t53 (= @t51 (forall @t33 @t85)))) % 0.46/0.69 (define @t87 () (or @t84 @t83 @t74 @t73)) % 0.46/0.69 (define @t88 () (tptp.is_antisymmetric_in @t66 @t68)) % 0.46/0.69 (define @t89 () (= @t88 @t69)) % 0.46/0.69 (define @t90 () (tptp.relation @t66)) % 0.46/0.69 (define @t91 () (not @t90)) % 0.46/0.69 (define @t92 () (or @t91 @t89)) % 0.46/0.69 (define @t93 () (@list false false)) % 0.46/0.69 (define @t94 () (tptp.antisymmetric @t66)) % 0.46/0.69 (define @t95 () (= @t94 @t88)) % 0.46/0.69 (define @t96 () (or @t91 @t95)) % 0.46/0.69 (define @t97 () (not @t88)) % 0.46/0.69 (define @t98 () (@list true false)) % 0.46/0.69 (define @t99 () (not @t69)) % 0.46/0.69 (define @t100 () (= @t71 @t70)) % 0.46/0.69 (define @t101 () (tptp.in (tptp.ordered_pair @t70 @t71) @t66)) % 0.46/0.69 (define @t102 () (not @t101)) % 0.46/0.69 (define @t103 () (tptp.in (tptp.ordered_pair @t71 @t70) @t66)) % 0.46/0.69 (define @t104 () (not @t103)) % 0.46/0.69 (define @t105 () (tptp.in @t70 @t68)) % 0.46/0.69 (define @t106 () (not @t105)) % 0.46/0.69 (define @t107 () (tptp.in @t71 @t68)) % 0.46/0.69 (define @t108 () (not @t107)) % 0.46/0.69 (define @t109 () (or @t108 @t106 @t104 @t102 @t100)) % 0.46/0.69 (define @t110 () (@list true)) % 0.46/0.69 (define @t111 () (@list @t109)) % 0.46/0.69 (define @t112 () (tptp.subset @t70 @t71)) % 0.46/0.69 (define @t113 () (tptp.subset @t71 @t70)) % 0.46/0.69 (define @t114 () (and @t113 @t112)) % 0.46/0.69 (define @t115 () (= @t100 @t114)) % 0.46/0.69 (define @t116 () (not @t114)) % 0.46/0.69 (define @t117 () (not @t30)) % 0.46/0.69 (define @t118 () (not @t31)) % 0.46/0.69 (define @t119 () (or @t118 @t117 @t29)) % 0.46/0.69 (define @t120 () (= @t38 (and (= @t1 @t35) (forall @t33 @t119)))) % 0.46/0.69 (define @t121 () (not (tptp.in @t25 @t65))) % 0.46/0.69 (define @t122 () (not (tptp.in @t26 @t65))) % 0.46/0.69 (define @t123 () (forall @t33 (or @t122 @t121 (= @t27 @t67)))) % 0.46/0.69 (define @t124 () (= @t65 @t68)) % 0.46/0.69 (define @t125 () (and @t124 @t123)) % 0.46/0.69 (define @t126 () (or @t122 @t121 (= @t67 @t27))) % 0.46/0.69 (define @t127 () (forall @t33 @t126)) % 0.46/0.69 (define @t128 () (and @t124 @t127)) % 0.46/0.69 (define @t129 () (= (= @t66 @t66) @t128)) % 0.46/0.69 (define @t130 () (or @t91 @t129)) % 0.46/0.69 (define @t131 () (forall @t4 (or (not @t40) @t120))) % 0.46/0.69 (define @t132 () (or @t91 @t125)) % 0.46/0.69 (define @t133 () (@list false)) % 0.46/0.69 (define @t134 () (not @t125)) % 0.46/0.69 (define @t135 () (@list @t125)) % 0.46/0.69 (define @t136 () (tptp.in @t70 @t65)) % 0.46/0.69 (define @t137 () (not @t136)) % 0.46/0.69 (define @t138 () (tptp.in @t71 @t65)) % 0.46/0.69 (define @t139 () (not @t138)) % 0.46/0.69 (define @t140 () (or @t139 @t137 (= @t113 @t103))) % 0.46/0.69 (define @t141 () (= @t103 @t113)) % 0.46/0.69 (define @t142 () (or @t139 @t137 @t141)) % 0.46/0.69 (define @t143 () (@list @t123)) % 0.46/0.69 (define @t144 () (@list false false false)) % 0.46/0.69 (define @t145 () (or @t137 @t139 (= @t112 @t101))) % 0.46/0.69 (define @t146 () (= @t101 @t112)) % 0.46/0.69 (define @t147 () (or @t137 @t139 @t146)) % 0.46/0.69 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.46/0.69 (assume @p2 (forall @t7 (=> @t6 @t5))) % 0.46/0.69 (assume @p3 (forall @t7 (=> @t11 @t10))) % 0.46/0.69 (assume @p4 (forall @t7 (=> @t15 @t14))) % 0.46/0.69 (assume @p5 (forall @t7 (=> @t10 @t11))) % 0.46/0.69 (assume @p6 (forall @t7 (=> @t6 @t16))) % 0.46/0.69 (assume @p7 (forall @t4 (= @t17 (tptp.unordered_pair @t2 @t1)))) % 0.46/0.69 (assume @p8 (forall @t4 (= @t19 @t18))) % 0.46/0.69 (assume @p9 (forall @t4 (= @t21 (and @t20 (tptp.subset @t2 @t1))))) % 0.46/0.69 (assume @p10 @t24) % 0.46/0.69 (assume @p11 @t42) % 0.46/0.69 (assume @p12 @t56) % 0.46/0.69 (assume @p13 (forall @t4 (= @t57 (tptp.unordered_pair @t17 (tptp.singleton @t1))))) % 0.46/0.69 (assume @p14 (forall @t7 (=> @t13 (= @t22 (tptp.set_union2 (tptp.relation_dom @t1) (tptp.relation_rng @t1)))))) % 0.46/0.69 (assume @p15 true) % 0.46/0.69 (assume @p16 (forall @t7 (tptp.relation @t37))) % 0.46/0.69 (assume @p17 (forall @t7 (exists @t53 (tptp.element @t2 @t1)))) % 0.46/0.69 (assume @p18 @t58) % 0.46/0.69 (assume @p19 (forall @t4 (not (tptp.empty @t57)))) % 0.46/0.69 (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) @t58 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.46/0.69 (assume @p21 (forall @t4 (=> @t59 (not (tptp.empty @t19))))) % 0.46/0.69 (assume @p22 (forall @t4 (=> @t59 (not (tptp.empty @t18))))) % 0.46/0.69 (assume @p23 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.46/0.69 (assume @p24 (exists @t7 (and @t13 @t5))) % 0.46/0.69 (assume @p25 (exists @t7 @t16)) % 0.46/0.69 (assume @p26 (exists @t7 @t6)) % 0.46/0.69 (assume @p27 (exists @t7 @t15)) % 0.46/0.69 (assume @p28 (exists @t7 (and @t13 @t5 @t12 @t6 @t9 @t8 @t11))) % 0.46/0.69 (assume @p29 (exists @t7 @t59)) % 0.46/0.69 (assume @p30 (exists @t7 @t14)) % 0.46/0.69 (assume @p31 (exists @t7 (and @t59 @t9 @t8 @t11))) % 0.46/0.69 (assume @p32 (exists @t7 (and @t13 (tptp.relation_empty_yielding @t1) @t5))) % 0.46/0.69 (assume @p33 (forall @t4 (tptp.subset @t1 @t1))) % 0.46/0.69 (assume @p34 (forall @t7 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.46/0.69 (assume @p35 (forall @t4 (=> @t3 @t60))) % 0.46/0.69 (assume @p36 (forall @t4 (=> @t60 (or @t61 @t3)))) % 0.46/0.69 (assume @p37 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t20))) % 0.46/0.69 (assume @p38 (forall @t63 (=> (and @t3 @t62) (tptp.element @t1 @t26)))) % 0.46/0.69 (assume @p39 (forall @t63 (not (and @t3 @t62 (tptp.empty @t26))))) % 0.46/0.69 (assume @p40 (not @t64)) % 0.46/0.69 (assume @p41 (forall @t7 (=> @t6 (= @t1 tptp.empty_set)))) % 0.46/0.69 (assume @p42 (forall @t4 (not (and @t3 @t61)))) % 0.46/0.69 (assume @p43 (forall @t4 (not (and @t6 (not @t21) @t61)))) % 0.46/0.69 (step @p44 :rule instantiate :premises (@p9) :args (@t72)) % 0.46/0.69 (step @p45 :rule quant-merge-prenex :args ((= (forall @t7 @t80) (forall (@list @t1 @t75) @t78)))) % 0.46/0.69 (step @p46 :rule alpha_equiv :args (@t81 (@list @t75) (@list @t2))) % 0.46/0.69 (step @p47 :rule refl :args (@t77)) % 0.46/0.69 (step @p48 :rule nary_cong :premises (@p47 @p46) :args (@t82)) % 0.46/0.69 (step @p49 :rule quant-miniscope-or :args ((= @t80 @t82))) % 0.46/0.69 (step @p50 :rule trans :premises (@p49 @p48)) % 0.46/0.69 (step @p51 :rule symm :premises (@p50)) % 0.46/0.69 (step @p52 :rule cong :premises (@p51) :args ((forall @t7 (or @t77 @t86)))) % 0.46/0.69 (step @p53 :rule trans :premises (@p52 @p45)) % 0.46/0.69 (step @p54 :rule bool-impl-elim :args (@t13 @t86)) % 0.46/0.69 (step @p55 :rule cong :premises (@p54) :args ((forall @t7 (=> @t13 @t86)))) % 0.46/0.69 (step @p56 :rule trans :premises (@p55 @p53)) % 0.46/0.69 (step @p57 :rule aci_norm :args ((= (or @t87 @t43) @t85))) % 0.46/0.69 (step @p58 :rule refl :args (@t43)) % 0.46/0.69 (step @p59 :rule aci_norm :args ((= (or @t84 (or @t83 (or @t74 @t73))) @t87))) % 0.46/0.69 (step @p60 :rule bool-and-de-morgan :args (@t46 @t45 true)) % 0.46/0.69 (step @p61 :rule refl :args (@t83)) % 0.46/0.69 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t83 (not (and @t46 @t45))))) % 0.46/0.69 (step @p63 :rule bool-and-de-morgan :args (@t47 @t46 (and @t45))) % 0.46/0.69 (step @p64 :rule trans :premises (@p63 @p62)) % 0.46/0.69 (step @p65 :rule refl :args (@t84)) % 0.46/0.69 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or @t84 (not (and @t47 @t46 @t45))))) % 0.46/0.69 (step @p67 :rule bool-and-de-morgan :args (@t48 @t47 (and @t46 @t45))) % 0.46/0.69 (step @p68 :rule trans :premises (@p67 @p66)) % 0.46/0.69 (step @p69 :rule trans :premises (@p68 @p59)) % 0.46/0.69 (step @p70 :rule nary_cong :premises (@p69 @p58) :args ((or (not @t49) @t43))) % 0.46/0.69 (step @p71 :rule trans :premises (@p70 @p57)) % 0.46/0.69 (step @p72 :rule bool-impl-elim :args (@t49 @t43)) % 0.46/0.69 (step @p73 :rule trans :premises (@p72 @p71)) % 0.46/0.69 (step @p74 :rule cong :premises (@p73) :args (@t50)) % 0.46/0.69 (step @p75 :rule refl :args (@t51)) % 0.46/0.69 (step @p76 :rule cong :premises (@p75 @p74) :args (@t52)) % 0.46/0.69 (step @p77 :rule cong :premises (@p76) :args (@t54)) % 0.46/0.69 (step @p78 :rule refl :args (@t13)) % 0.46/0.69 (step @p79 :rule cong :premises (@p78 @p77) :args (@t55)) % 0.46/0.69 (step @p80 :rule cong :premises (@p79) :args (@t56)) % 0.46/0.69 (step @p81 :rule trans :premises (@p80 @p56)) % 0.46/0.69 (step @p82 :rule eq_resolve :premises (@p12 @p81)) % 0.46/0.69 (step @p83 :rule instantiate :premises (@p82) :args ((@list @t66 @t68))) % 0.46/0.69 (step @p84 :rule instantiate :premises (@p16) :args ((@list @t65))) % 0.46/0.69 (step @p85 :rule cnf_or_pos :args (@t92)) % 0.46/0.69 (step @p86 :rule reordering :premises (@p85) :args ((or @t91 @t89 (not @t92)))) % 0.46/0.69 (step @p87 :rule chain_m_resolution :premises (@p86 @p84 @p83) :args (@t89 @t93 (@list @t90 @t92))) % 0.46/0.69 (step @p88 :rule bool-impl-elim :args (@t13 @t23)) % 0.46/0.69 (step @p89 :rule cong :premises (@p88) :args (@t24)) % 0.46/0.69 (step @p90 :rule eq_resolve :premises (@p10 @p89)) % 0.46/0.69 (step @p91 :rule instantiate :premises (@p90) :args ((@list @t66))) % 0.46/0.69 (step @p92 :rule cnf_or_pos :args (@t96)) % 0.46/0.69 (step @p93 :rule reordering :premises (@p92) :args ((or @t91 @t95 (not @t96)))) % 0.46/0.69 (step @p94 :rule chain_m_resolution :premises (@p93 @p84 @p91) :args (@t95 @t93 (@list @t90 @t96))) % 0.46/0.69 (step @p95 :rule skolemize :premises (@p40)) % 0.46/0.69 (step @p96 :rule cnf_equiv_pos2 :args (@t95)) % 0.46/0.69 (step @p97 :rule reordering :premises (@p96) :args ((or @t94 @t97 (not @t95)))) % 0.46/0.69 (step @p98 :rule chain_m_resolution :premises (@p97 @p95 @p94) :args (@t97 @t98 (@list @t94 @t95))) % 0.46/0.69 (step @p99 :rule cnf_equiv_pos2 :args (@t89)) % 0.46/0.69 (step @p100 :rule reordering :premises (@p99) :args ((or @t88 @t99 (not @t89)))) % 0.46/0.69 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p87) :args (@t99 @t98 (@list @t88 @t89))) % 0.46/0.69 (step @p102 :rule skolemize :premises (@p101)) % 0.46/0.69 (step @p103 :rule cnf_or_neg :args (@t109 4)) % 0.46/0.69 (step @p104 :rule chain_m_resolution :premises (@p103 @p102) :args ((not @t100) @t110 @t111)) % 0.46/0.69 (step @p105 :rule cnf_equiv_pos2 :args (@t115)) % 0.46/0.69 (step @p106 :rule reordering :premises (@p105) :args ((or @t100 @t116 (not @t115)))) % 0.46/0.69 (step @p107 :rule chain_m_resolution :premises (@p106 @p104 @p44) :args (@t116 @t98 (@list @t100 @t115))) % 0.46/0.69 (step @p108 :rule bool-impl-elim :args (@t40 @t120)) % 0.46/0.69 (step @p109 :rule cong :premises (@p108) :args ((forall @t4 (=> @t40 @t120)))) % 0.46/0.69 (step @p110 :rule aci_norm :args ((= (or (or @t118 @t117) @t29) @t119))) % 0.46/0.69 (step @p111 :rule refl :args (@t29)) % 0.46/0.69 (step @p112 :rule bool-and-de-morgan :args (@t31 @t30 true)) % 0.46/0.69 (step @p113 :rule nary_cong :premises (@p112 @p111) :args ((or (not @t32) @t29))) % 0.46/0.69 (step @p114 :rule trans :premises (@p113 @p110)) % 0.46/0.69 (step @p115 :rule bool-impl-elim :args (@t32 @t29)) % 0.46/0.69 (step @p116 :rule trans :premises (@p115 @p114)) % 0.46/0.69 (step @p117 :rule cong :premises (@p116) :args (@t34)) % 0.46/0.69 (step @p118 :rule eq-symm :args (@t35 @t1)) % 0.46/0.69 (step @p119 :rule nary_cong :premises (@p118 @p117) :args (@t36)) % 0.46/0.69 (step @p120 :rule refl :args (@t38)) % 0.46/0.69 (step @p121 :rule cong :premises (@p120 @p119) :args (@t39)) % 0.46/0.69 (step @p122 :rule refl :args (@t40)) % 0.46/0.69 (step @p123 :rule cong :premises (@p122 @p121) :args (@t41)) % 0.46/0.69 (step @p124 :rule cong :premises (@p123) :args (@t42)) % 0.46/0.69 (step @p125 :rule trans :premises (@p124 @p109)) % 0.46/0.69 (step @p126 :rule eq_resolve :premises (@p11 @p125)) % 0.46/0.69 (step @p127 :rule bool-eq-true :args (@t125)) % 0.46/0.69 (step @p128 :rule eq-symm :args (true @t125)) % 0.46/0.69 (step @p129 :rule trans :premises (@p128 @p127)) % 0.46/0.69 (step @p130 :rule eq-symm :args (@t67 @t27)) % 0.46/0.69 (step @p131 :rule refl :args (@t121)) % 0.46/0.69 (step @p132 :rule refl :args (@t122)) % 0.46/0.69 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130) :args (@t126)) % 0.46/0.69 (step @p134 :rule cong :premises (@p133) :args (@t127)) % 0.46/0.69 (step @p135 :rule refl :args (@t124)) % 0.46/0.69 (step @p136 :rule nary_cong :premises (@p135 @p134) :args (@t128)) % 0.46/0.69 (step @p137 :rule eq-refl :args (@t66)) % 0.46/0.69 (step @p138 :rule cong :premises (@p137 @p136) :args (@t129)) % 0.46/0.69 (step @p139 :rule trans :premises (@p138 @p129)) % 0.46/0.69 (step @p140 :rule refl :args (@t91)) % 0.46/0.69 (step @p141 :rule nary_cong :premises (@p140 @p139) :args (@t130)) % 0.46/0.69 (step @p142 :rule refl :args (@t131)) % 0.46/0.69 (step @p143 :rule cong :premises (@p142 @p141) :args ((=> @t131 @t130))) % 0.46/0.69 (assume-push @p233 @t131) % 0.46/0.69 (step @p145 :rule instantiate :premises (@p126) :args ((@list @t65 @t66))) % 0.46/0.69 (step-pop @p234 :rule scope :premises (@p145)) % 0.46/0.69 (step @p146 :rule process_scope :premises (@p234) :args (@t130)) % 0.46/0.69 (step @p148 :rule eq_resolve :premises (@p146 @p143)) % 0.46/0.69 (step @p149 :rule implies_elim :premises (@p148)) % 0.46/0.69 (step @p150 :rule chain_m_resolution :premises (@p149 @p126) :args (@t132 @t133 (@list @t131))) % 0.46/0.69 (step @p151 :rule cnf_or_pos :args (@t132)) % 0.46/0.69 (step @p152 :rule reordering :premises (@p151) :args ((or @t91 @t125 (not @t132)))) % 0.46/0.69 (step @p153 :rule chain_m_resolution :premises (@p152 @p84 @p150) :args (@t125 @t93 (@list @t90 @t132))) % 0.46/0.69 (step @p154 :rule cnf_and_pos :args (@t125 1)) % 0.46/0.69 (step @p155 :rule reordering :premises (@p154) :args ((or @t123 @t134))) % 0.46/0.69 (step @p156 :rule chain_m_resolution :premises (@p155 @p153) :args (@t123 @t133 @t135)) % 0.46/0.69 (step @p157 :rule eq-symm :args (@t113 @t103)) % 0.46/0.69 (step @p158 :rule refl :args (@t137)) % 0.46/0.69 (step @p159 :rule refl :args (@t139)) % 0.46/0.69 (step @p160 :rule nary_cong :premises (@p159 @p158 @p157) :args (@t140)) % 0.46/0.69 (step @p161 :rule refl :args (@t123)) % 0.46/0.69 (step @p162 :rule cong :premises (@p161 @p160) :args ((=> @t123 @t140))) % 0.46/0.69 (assume-push @p235 @t123) % 0.46/0.69 (step @p164 :rule instantiate :premises (@p156) :args (@t72)) % 0.46/0.69 (step-pop @p236 :rule scope :premises (@p164)) % 0.46/0.69 (step @p165 :rule process_scope :premises (@p236) :args (@t140)) % 0.46/0.69 (step @p167 :rule eq_resolve :premises (@p165 @p162)) % 0.46/0.69 (step @p168 :rule implies_elim :premises (@p167)) % 0.46/0.69 (step @p169 :rule chain_m_resolution :premises (@p168 @p156) :args (@t142 @t133 @t143)) % 0.46/0.69 (step @p170 :rule bool-double-not-elim :args (@t105)) % 0.46/0.69 (step @p171 :rule refl :args (@t109)) % 0.46/0.69 (step @p172 :rule nary_cong :premises (@p171 @p170) :args ((or @t109 (not @t106)))) % 0.46/0.69 (step @p173 :rule cnf_or_neg :args (@t109 1)) % 0.46/0.69 (step @p174 :rule eq_resolve :premises (@p173 @p172)) % 0.46/0.69 (step @p175 :rule reordering :premises (@p174) :args ((or @t105 @t109))) % 0.46/0.69 (step @p176 :rule chain_m_resolution :premises (@p175 @p102) :args (@t105 @t110 @t111)) % 0.46/0.69 (step @p177 :rule true_intro :premises (@p176)) % 0.46/0.69 (step @p178 :rule cnf_and_pos :args (@t125 0)) % 0.46/0.69 (step @p179 :rule reordering :premises (@p178) :args ((or @t124 @t134))) % 0.46/0.69 (step @p180 :rule chain_m_resolution :premises (@p179 @p153) :args (@t124 @t133 @t135)) % 0.46/0.69 (step @p181 :rule refl :args (@t70)) % 0.46/0.69 (step @p182 :rule cong :premises (@p181 @p180) :args (@t136)) % 0.46/0.69 (step @p183 :rule trans :premises (@p182 @p177)) % 0.46/0.69 (step @p184 :rule true_elim :premises (@p183)) % 0.46/0.69 (step @p185 :rule bool-double-not-elim :args (@t107)) % 0.46/0.69 (step @p186 :rule nary_cong :premises (@p171 @p185) :args ((or @t109 (not @t108)))) % 0.46/0.69 (step @p187 :rule cnf_or_neg :args (@t109 0)) % 0.46/0.69 (step @p188 :rule eq_resolve :premises (@p187 @p186)) % 0.46/0.69 (step @p189 :rule reordering :premises (@p188) :args ((or @t107 @t109))) % 0.46/0.69 (step @p190 :rule chain_m_resolution :premises (@p189 @p102) :args (@t107 @t110 @t111)) % 0.46/0.69 (step @p191 :rule true_intro :premises (@p190)) % 0.46/0.69 (step @p192 :rule refl :args (@t71)) % 0.46/0.69 (step @p193 :rule cong :premises (@p192 @p180) :args (@t138)) % 0.46/0.69 (step @p194 :rule trans :premises (@p193 @p191)) % 0.46/0.69 (step @p195 :rule true_elim :premises (@p194)) % 0.46/0.69 (step @p196 :rule cnf_or_pos :args (@t142)) % 0.46/0.69 (step @p197 :rule reordering :premises (@p196) :args ((or @t139 @t137 @t141 (not @t142)))) % 0.46/0.69 (step @p198 :rule chain_m_resolution :premises (@p197 @p195 @p184 @p169) :args (@t141 @t144 (@list @t138 @t136 @t142))) % 0.46/0.69 (step @p199 :rule bool-double-not-elim :args (@t103)) % 0.46/0.69 (step @p200 :rule nary_cong :premises (@p171 @p199) :args ((or @t109 (not @t104)))) % 0.46/0.69 (step @p201 :rule cnf_or_neg :args (@t109 2)) % 0.46/0.69 (step @p202 :rule eq_resolve :premises (@p201 @p200)) % 0.46/0.69 (step @p203 :rule reordering :premises (@p202) :args ((or @t103 @t109))) % 0.46/0.69 (step @p204 :rule chain_m_resolution :premises (@p203 @p102) :args (@t103 @t110 @t111)) % 0.46/0.69 (step @p205 :rule cnf_equiv_pos1 :args (@t141)) % 0.46/0.69 (step @p206 :rule reordering :premises (@p205) :args ((or @t104 @t113 (not @t141)))) % 0.46/0.69 (step @p207 :rule chain_m_resolution :premises (@p206 @p204 @p198) :args (@t113 @t93 (@list @t103 @t141))) % 0.46/0.69 (step @p208 :rule eq-symm :args (@t112 @t101)) % 0.46/0.69 (step @p209 :rule nary_cong :premises (@p158 @p159 @p208) :args (@t145)) % 0.46/0.69 (step @p210 :rule cong :premises (@p161 @p209) :args ((=> @t123 @t145))) % 0.46/0.69 (assume-push @p237 @t123) % 0.46/0.69 (step @p212 :rule instantiate :premises (@p156) :args ((@list @t70 @t71))) % 0.46/0.69 (step-pop @p238 :rule scope :premises (@p212)) % 0.46/0.69 (step @p213 :rule process_scope :premises (@p238) :args (@t145)) % 0.46/0.69 (step @p215 :rule eq_resolve :premises (@p213 @p210)) % 0.46/0.69 (step @p216 :rule implies_elim :premises (@p215)) % 0.46/0.69 (step @p217 :rule chain_m_resolution :premises (@p216 @p156) :args (@t147 @t133 @t143)) % 0.46/0.69 (step @p218 :rule cnf_or_pos :args (@t147)) % 0.46/0.69 (step @p219 :rule reordering :premises (@p218) :args ((or @t139 @t137 @t146 (not @t147)))) % 0.46/0.69 (step @p220 :rule chain_m_resolution :premises (@p219 @p195 @p184 @p217) :args (@t146 @t144 (@list @t138 @t136 @t147))) % 0.46/0.69 (step @p221 :rule bool-double-not-elim :args (@t101)) % 0.46/0.69 (step @p222 :rule nary_cong :premises (@p171 @p221) :args ((or @t109 (not @t102)))) % 0.46/0.69 (step @p223 :rule cnf_or_neg :args (@t109 3)) % 0.46/0.69 (step @p224 :rule eq_resolve :premises (@p223 @p222)) % 0.46/0.69 (step @p225 :rule reordering :premises (@p224) :args ((or @t101 @t109))) % 0.46/0.69 (step @p226 :rule chain_m_resolution :premises (@p225 @p102) :args (@t101 @t110 @t111)) % 0.46/0.69 (step @p227 :rule cnf_equiv_pos1 :args (@t146)) % 0.46/0.69 (step @p228 :rule reordering :premises (@p227) :args ((or @t102 @t112 (not @t146)))) % 0.46/0.69 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p220) :args (@t112 @t93 (@list @t101 @t146))) % 0.46/0.69 (step @p230 :rule cnf_and_neg :args (@t114)) % 0.46/0.69 (step @p231 :rule reordering :premises (@p230) :args ((or (not @t113) (not @t112) @t114))) % 0.46/0.69 (step @p232 false :rule chain_m_resolution :premises (@p231 @p229 @p207 @p107) :args (false (@list false false true) (@list @t112 @t113 @t114))) % 0.46/0.69 ) % 0.46/0.69 % SZS output end Proof % 0.46/0.69 % cvc5 exiting %------------------------------------------------------------------------------