%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU327+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 : n012.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 08:51:24 AM UTC 2026 % Result : Theorem 0.15s 0.39s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SEU327+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n012.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 16:57:03 EDT 2026 % 0.07/0.25 % CPUTime : % 0.15/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.39 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.39 % SZS status Theorem % 0.15/0.39 % SZS output start Proof % 0.15/0.39 ( % 0.15/0.39 (declare-sort $$unsorted 0) % 0.15/0.39 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.empty_set $$unsorted) % 0.15/0.39 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.subset_difference (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.union_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.cast_to_subset (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.set_meet (-> $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.meet_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.39 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.15/0.39 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.15/0.39 (define @t1 () (@var "A" $$unsorted)) % 0.15/0.39 (define @t2 () (@var "B" $$unsorted)) % 0.15/0.39 (define @t3 () (tptp.in @t1 @t2)) % 0.15/0.39 (define @t4 () (@list @t1 @t2)) % 0.15/0.39 (define @t5 () (tptp.v1_xcmplx_0 @t2)) % 0.15/0.39 (define @t6 () (tptp.element @t2 @t1)) % 0.15/0.39 (define @t7 () (@list @t2)) % 0.15/0.39 (define @t8 () (tptp.v1_membered @t1)) % 0.15/0.39 (define @t9 () (@list @t1)) % 0.15/0.39 (define @t10 () (tptp.v1_xreal_0 @t2)) % 0.15/0.39 (define @t11 () (tptp.v2_membered @t1)) % 0.15/0.39 (define @t12 () (tptp.v1_rat_1 @t2)) % 0.15/0.39 (define @t13 () (tptp.v3_membered @t1)) % 0.15/0.39 (define @t14 () (tptp.v1_int_1 @t2)) % 0.15/0.39 (define @t15 () (tptp.v4_membered @t1)) % 0.15/0.39 (define @t16 () (tptp.v5_membered @t1)) % 0.15/0.39 (define @t17 () (tptp.empty @t1)) % 0.15/0.39 (define @t18 () (tptp.v1_membered @t2)) % 0.15/0.39 (define @t19 () (tptp.powerset @t1)) % 0.15/0.39 (define @t20 () (tptp.element @t2 @t19)) % 0.15/0.39 (define @t21 () (tptp.v2_membered @t2)) % 0.15/0.39 (define @t22 () (tptp.v3_membered @t2)) % 0.15/0.39 (define @t23 () (tptp.v4_membered @t2)) % 0.15/0.39 (define @t24 () (tptp.cast_to_subset @t1)) % 0.15/0.39 (define @t25 () (forall @t9 (= @t24 @t1))) % 0.15/0.39 (define @t26 () (tptp.set_difference @t1 @t2)) % 0.15/0.39 (define @t27 () (tptp.subset_complement @t1 @t2)) % 0.15/0.39 (define @t28 () (= @t27 @t26)) % 0.15/0.39 (define @t29 () (forall @t4 (=> @t20 @t28))) % 0.15/0.39 (define @t30 () (tptp.union_of_subsets @t1 @t2)) % 0.15/0.39 (define @t31 () (tptp.element @t30 @t19)) % 0.15/0.39 (define @t32 () (tptp.powerset @t19)) % 0.15/0.39 (define @t33 () (tptp.element @t2 @t32)) % 0.15/0.39 (define @t34 () (forall @t4 (=> @t33 @t31))) % 0.15/0.39 (define @t35 () (tptp.meet_of_subsets @t1 @t2)) % 0.15/0.39 (define @t36 () (@var "C" $$unsorted)) % 0.15/0.39 (define @t37 () (tptp.subset_difference @t1 @t2 @t36)) % 0.15/0.39 (define @t38 () (tptp.element @t36 @t19)) % 0.15/0.39 (define @t39 () (and @t20 @t38)) % 0.15/0.39 (define @t40 () (@list @t1 @t2 @t36)) % 0.15/0.39 (define @t41 () (tptp.complements_of_subsets @t1 @t2)) % 0.15/0.39 (define @t42 () (tptp.v1_membered @t26)) % 0.15/0.39 (define @t43 () (tptp.v2_membered @t26)) % 0.15/0.39 (define @t44 () (tptp.v3_membered @t26)) % 0.15/0.39 (define @t45 () (tptp.v4_membered @t26)) % 0.15/0.39 (define @t46 () (not @t17)) % 0.15/0.39 (define @t47 () (tptp.empty @t2)) % 0.15/0.39 (define @t48 () (= @t37 (tptp.set_difference @t2 @t36))) % 0.15/0.39 (define @t49 () (forall @t40 (=> @t39 @t48))) % 0.15/0.39 (define @t50 () (tptp.meet_of_subsets @t1 @t41)) % 0.15/0.39 (define @t51 () (= @t50 (tptp.subset_complement @t1 @t30))) % 0.15/0.39 (define @t52 () (= @t2 tptp.empty_set)) % 0.15/0.39 (define @t53 () (not @t52)) % 0.15/0.39 (define @t54 () (=> @t53 @t51)) % 0.15/0.39 (define @t55 () (forall @t4 (=> @t33 @t54))) % 0.15/0.39 (define @t56 () (not @t55)) % 0.15/0.39 (define @t57 () (tptp.element @t1 @t2)) % 0.15/0.39 (define @t58 () (tptp.subset_difference @t1 @t24 @t30)) % 0.15/0.39 (define @t59 () (=> @t53 (= @t58 @t50))) % 0.15/0.39 (define @t60 () (=> @t33 @t59)) % 0.15/0.39 (define @t61 () (forall @t4 @t60)) % 0.15/0.39 (define @t62 () (tptp.element @t2 (tptp.powerset @t36))) % 0.15/0.39 (define @t63 () (not @t33)) % 0.15/0.39 (define @t64 () (or @t63 @t52 @t51)) % 0.15/0.39 (define @t65 () (not @t53)) % 0.15/0.39 (define @t66 () (forall @t4 @t64)) % 0.15/0.39 (define @t67 () (@quantifiers_skolemize @t66 1)) % 0.15/0.39 (define @t68 () (@quantifiers_skolemize @t66 0)) % 0.15/0.39 (define @t69 () (tptp.union_of_subsets @t68 @t67)) % 0.15/0.39 (define @t70 () (tptp.subset_complement @t68 @t69)) % 0.15/0.39 (define @t71 () (tptp.meet_of_subsets @t68 (tptp.complements_of_subsets @t68 @t67))) % 0.15/0.39 (define @t72 () (= @t71 @t70)) % 0.15/0.39 (define @t73 () (= tptp.empty_set @t67)) % 0.15/0.39 (define @t74 () (tptp.powerset @t68)) % 0.15/0.39 (define @t75 () (tptp.element @t67 (tptp.powerset @t74))) % 0.15/0.39 (define @t76 () (not @t75)) % 0.15/0.39 (define @t77 () (or @t76 @t73 @t72)) % 0.15/0.39 (define @t78 () (not @t77)) % 0.15/0.39 (define @t79 () (not @t66)) % 0.15/0.39 (define @t80 () (= @t67 tptp.empty_set)) % 0.15/0.39 (define @t81 () (or @t76 @t80 @t72)) % 0.15/0.39 (define @t82 () (not @t81)) % 0.15/0.39 (define @t83 () (@list true)) % 0.15/0.39 (define @t84 () (not @t72)) % 0.15/0.39 (define @t85 () (@list @t77)) % 0.15/0.39 (define @t86 () (= @t50 @t58)) % 0.15/0.39 (define @t87 () (or @t63 @t52 @t86)) % 0.15/0.39 (define @t88 () (=> @t53 @t86)) % 0.15/0.39 (define @t89 () (tptp.cast_to_subset @t68)) % 0.15/0.39 (define @t90 () (tptp.subset_difference @t68 @t89 @t69)) % 0.15/0.39 (define @t91 () (= @t71 @t90)) % 0.15/0.39 (define @t92 () (or @t76 @t80 @t91)) % 0.15/0.39 (define @t93 () (forall @t4 @t87)) % 0.15/0.39 (define @t94 () (@list @t68 @t67)) % 0.15/0.39 (define @t95 () (or @t76 @t73 @t91)) % 0.15/0.39 (define @t96 () (tptp.element @t69 @t74)) % 0.15/0.39 (define @t97 () (or @t76 @t96)) % 0.15/0.39 (define @t98 () (@list false false)) % 0.15/0.39 (define @t99 () (= @t70 (tptp.set_difference @t68 @t69))) % 0.15/0.39 (define @t100 () (not @t96)) % 0.15/0.39 (define @t101 () (or @t100 @t99)) % 0.15/0.39 (define @t102 () (@list @t68)) % 0.15/0.39 (define @t103 () (not @t38)) % 0.15/0.39 (define @t104 () (not @t20)) % 0.15/0.39 (define @t105 () (tptp.set_difference @t89 @t69)) % 0.15/0.39 (define @t106 () (= @t90 @t105)) % 0.15/0.39 (define @t107 () (tptp.element @t89 @t74)) % 0.15/0.39 (define @t108 () (not @t107)) % 0.15/0.39 (define @t109 () (or @t108 @t100 @t106)) % 0.15/0.39 (define @t110 () (not @t106)) % 0.15/0.39 (define @t111 () (= @t68 @t89)) % 0.15/0.39 (define @t112 () (not @t111)) % 0.15/0.39 (define @t113 () (not @t91)) % 0.15/0.39 (define @t114 () (not @t99)) % 0.15/0.39 (define @t115 () (and @t84 @t99 @t91 @t111)) % 0.15/0.39 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.15/0.39 (assume @p2 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.15/0.39 (assume @p3 (forall @t9 (=> @t11 (forall @t7 (=> @t6 (and @t5 @t10)))))) % 0.15/0.39 (assume @p4 (forall @t9 (=> @t13 (forall @t7 (=> @t6 (and @t5 @t10 @t12)))))) % 0.15/0.39 (assume @p5 (forall @t9 (=> @t15 (forall @t7 (=> @t6 (and @t5 @t10 @t14 @t12)))))) % 0.15/0.39 (assume @p6 (forall @t9 (=> @t16 (forall @t7 (=> @t6 (and @t5 (tptp.natural @t2) @t10 @t14 @t12)))))) % 0.15/0.39 (assume @p7 (forall @t9 (=> @t17 (and @t8 @t11 @t13 @t15 @t16)))) % 0.15/0.39 (assume @p8 (forall @t9 (=> @t8 (forall @t7 (=> @t20 @t18))))) % 0.15/0.39 (assume @p9 (forall @t9 (=> @t11 (forall @t7 (=> @t20 (and @t18 @t21)))))) % 0.15/0.39 (assume @p10 (forall @t9 (=> @t13 (forall @t7 (=> @t20 (and @t18 @t21 @t22)))))) % 0.15/0.39 (assume @p11 (forall @t9 (=> @t15 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23)))))) % 0.15/0.39 (assume @p12 (forall @t9 (=> @t16 @t15))) % 0.15/0.39 (assume @p13 (forall @t9 (=> @t16 (forall @t7 (=> @t20 (and @t18 @t21 @t22 @t23 (tptp.v5_membered @t2))))))) % 0.15/0.39 (assume @p14 (forall @t9 (=> @t15 @t13))) % 0.15/0.39 (assume @p15 (forall @t9 (=> @t13 @t11))) % 0.15/0.39 (assume @p16 (forall @t9 (=> @t11 @t8))) % 0.15/0.39 (assume @p17 @t25) % 0.15/0.39 (assume @p18 @t29) % 0.15/0.39 (assume @p19 true) % 0.15/0.39 (assume @p20 (forall @t9 (tptp.element @t24 @t19))) % 0.15/0.39 (assume @p21 (forall @t4 (=> @t20 (tptp.element @t27 @t19)))) % 0.15/0.39 (assume @p22 @t34) % 0.15/0.39 (assume @p23 (forall @t4 (=> @t33 (tptp.element @t35 @t19)))) % 0.15/0.39 (assume @p24 (forall @t40 (=> @t39 (tptp.element @t37 @t19)))) % 0.15/0.39 (assume @p25 (forall @t4 (=> @t33 (tptp.element @t41 @t32)))) % 0.15/0.39 (assume @p26 (forall @t9 (exists @t7 @t6))) % 0.15/0.39 (assume @p27 (forall @t9 (not (tptp.empty @t19)))) % 0.15/0.39 (assume @p28 (forall @t4 (=> @t8 @t42))) % 0.15/0.39 (assume @p29 (forall @t4 (=> @t11 (and @t42 @t43)))) % 0.15/0.39 (assume @p30 (forall @t4 (=> @t13 (and @t42 @t43 @t44)))) % 0.15/0.39 (assume @p31 (forall @t4 (=> @t15 (and @t42 @t43 @t44 @t45)))) % 0.15/0.39 (assume @p32 (forall @t4 (=> @t16 (and @t42 @t43 @t44 @t45 (tptp.v5_membered @t26))))) % 0.15/0.39 (assume @p33 (and (tptp.empty tptp.empty_set) (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set))) % 0.15/0.39 (assume @p34 (forall @t4 (=> @t20 (= (tptp.subset_complement @t1 @t27) @t2)))) % 0.15/0.39 (assume @p35 (forall @t4 (=> @t33 (= (tptp.complements_of_subsets @t1 @t41) @t2)))) % 0.15/0.39 (assume @p36 (exists @t9 (and @t46 @t8 @t11 @t13 @t15 @t16))) % 0.15/0.39 (assume @p37 (forall @t9 (=> @t46 (exists @t7 (and @t20 (not @t47)))))) % 0.15/0.39 (assume @p38 (forall @t9 (exists @t7 (and @t20 @t47)))) % 0.15/0.39 (assume @p39 (forall @t4 (=> @t33 (= @t30 (tptp.union @t2))))) % 0.15/0.39 (assume @p40 (forall @t4 (=> @t33 (= @t35 (tptp.set_meet @t2))))) % 0.15/0.39 (assume @p41 @t49) % 0.15/0.39 (assume @p42 (forall @t4 (tptp.subset @t1 @t1))) % 0.15/0.39 (assume @p43 @t56) % 0.15/0.39 (assume @p44 (forall @t4 (=> @t3 @t57))) % 0.15/0.39 (assume @p45 (forall @t4 (=> @t57 (or @t47 @t3)))) % 0.15/0.39 (assume @p46 (forall @t9 (= (tptp.set_difference @t1 tptp.empty_set) @t1))) % 0.15/0.39 (assume @p47 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.15/0.39 (assume @p48 @t61) % 0.15/0.39 (assume @p49 (forall @t9 (= (tptp.set_difference tptp.empty_set @t1) tptp.empty_set))) % 0.15/0.39 (assume @p50 (forall @t40 (=> (and @t3 @t62) (tptp.element @t1 @t36)))) % 0.15/0.39 (assume @p51 (forall @t40 (not (and @t3 @t62 (tptp.empty @t36))))) % 0.15/0.39 (assume @p52 (forall @t9 (=> @t17 (= @t1 tptp.empty_set)))) % 0.15/0.39 (assume @p53 (forall @t4 (not (and @t3 @t47)))) % 0.15/0.39 (assume @p54 (forall @t4 (not (and @t17 (not (= @t1 @t2)) @t47)))) % 0.15/0.39 (step @p55 :rule aci_norm :args ((= (or @t63 (or @t52 @t51)) @t64))) % 0.15/0.39 (step @p56 :rule refl :args (@t51)) % 0.15/0.39 (step @p57 :rule bool-double-not-elim :args (@t52)) % 0.15/0.39 (step @p58 :rule nary_cong :premises (@p57 @p56) :args ((or @t65 @t51))) % 0.15/0.39 (step @p59 :rule bool-impl-elim :args (@t53 @t51)) % 0.15/0.39 (step @p60 :rule trans :premises (@p59 @p58)) % 0.15/0.39 (step @p61 :rule refl :args (@t63)) % 0.15/0.39 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or @t63 @t54))) % 0.15/0.39 (step @p63 :rule trans :premises (@p62 @p55)) % 0.15/0.39 (step @p64 :rule bool-impl-elim :args (@t33 @t54)) % 0.15/0.39 (step @p65 :rule trans :premises (@p64 @p63)) % 0.15/0.39 (step @p66 :rule cong :premises (@p65) :args (@t55)) % 0.15/0.39 (step @p67 :rule cong :premises (@p66) :args (@t56)) % 0.15/0.39 (step @p68 :rule eq_resolve :premises (@p43 @p67)) % 0.15/0.39 (step @p69 :rule refl :args (@t78)) % 0.15/0.39 (step @p70 :rule bool-double-not-elim :args (@t66)) % 0.15/0.39 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t79) @t78))) % 0.15/0.39 (step @p72 :rule refl :args (@t72)) % 0.15/0.39 (step @p73 :rule eq-symm :args (@t67 tptp.empty_set)) % 0.15/0.39 (step @p74 :rule refl :args (@t76)) % 0.15/0.39 (step @p75 :rule nary_cong :premises (@p74 @p73 @p72) :args (@t81)) % 0.15/0.39 (step @p76 :rule cong :premises (@p75) :args (@t82)) % 0.15/0.39 (step @p77 :rule refl :args (@t79)) % 0.15/0.39 (step @p78 :rule cong :premises (@p77 @p76) :args ((=> @t79 @t82))) % 0.15/0.39 (assume-push @p192 @t79) % 0.15/0.39 (step @p80 :rule skolemize :premises (@p68)) % 0.15/0.39 (step-pop @p193 :rule scope :premises (@p80)) % 0.15/0.39 (step @p81 :rule process_scope :premises (@p193) :args (@t82)) % 0.15/0.39 (step @p83 :rule eq_resolve :premises (@p81 @p78)) % 0.15/0.39 (step @p84 :rule implies_elim :premises (@p83)) % 0.15/0.39 (step @p85 :rule eq_resolve :premises (@p84 @p71)) % 0.15/0.39 (step @p86 :rule chain_m_resolution :premises (@p85 @p68) :args (@t78 @t83 (@list @t66))) % 0.15/0.39 (step @p87 :rule cnf_or_neg :args (@t77 2)) % 0.15/0.39 (step @p88 :rule chain_m_resolution :premises (@p87 @p86) :args (@t84 @t83 @t85)) % 0.15/0.39 (step @p89 :rule aci_norm :args ((= (or @t63 (or @t52 @t86)) @t87))) % 0.15/0.39 (step @p90 :rule refl :args (@t86)) % 0.15/0.39 (step @p91 :rule nary_cong :premises (@p57 @p90) :args ((or @t65 @t86))) % 0.15/0.39 (step @p92 :rule bool-impl-elim :args (@t53 @t86)) % 0.15/0.39 (step @p93 :rule trans :premises (@p92 @p91)) % 0.15/0.39 (step @p94 :rule nary_cong :premises (@p61 @p93) :args ((or @t63 @t88))) % 0.15/0.39 (step @p95 :rule trans :premises (@p94 @p89)) % 0.15/0.39 (step @p96 :rule bool-impl-elim :args (@t33 @t88)) % 0.15/0.39 (step @p97 :rule trans :premises (@p96 @p95)) % 0.15/0.39 (step @p98 :rule cong :premises (@p97) :args ((forall @t4 (=> @t33 @t88)))) % 0.15/0.39 (step @p99 :rule eq-symm :args (@t58 @t50)) % 0.15/0.39 (step @p100 :rule refl :args (@t53)) % 0.15/0.39 (step @p101 :rule cong :premises (@p100 @p99) :args (@t59)) % 0.15/0.39 (step @p102 :rule refl :args (@t33)) % 0.15/0.39 (step @p103 :rule cong :premises (@p102 @p101) :args (@t60)) % 0.15/0.39 (step @p104 :rule cong :premises (@p103) :args (@t61)) % 0.15/0.39 (step @p105 :rule trans :premises (@p104 @p98)) % 0.15/0.39 (step @p106 :rule eq_resolve :premises (@p48 @p105)) % 0.15/0.39 (step @p107 :rule refl :args (@t91)) % 0.15/0.39 (step @p108 :rule nary_cong :premises (@p74 @p73 @p107) :args (@t92)) % 0.15/0.39 (step @p109 :rule refl :args (@t93)) % 0.15/0.39 (step @p110 :rule cong :premises (@p109 @p108) :args ((=> @t93 @t92))) % 0.15/0.39 (assume-push @p194 @t93) % 0.15/0.39 (step @p112 :rule instantiate :premises (@p106) :args (@t94)) % 0.15/0.39 (step-pop @p195 :rule scope :premises (@p112)) % 0.15/0.39 (step @p113 :rule process_scope :premises (@p195) :args (@t92)) % 0.15/0.39 (step @p115 :rule eq_resolve :premises (@p113 @p110)) % 0.15/0.39 (step @p116 :rule implies_elim :premises (@p115)) % 0.15/0.39 (step @p117 :rule chain_m_resolution :premises (@p116 @p106) :args (@t95 (@list false) (@list @t93))) % 0.15/0.39 (step @p118 :rule cnf_or_neg :args (@t77 1)) % 0.15/0.39 (step @p119 :rule chain_m_resolution :premises (@p118 @p86) :args ((not @t73) @t83 @t85)) % 0.15/0.39 (step @p120 :rule bool-double-not-elim :args (@t75)) % 0.15/0.39 (step @p121 :rule refl :args (@t77)) % 0.15/0.39 (step @p122 :rule nary_cong :premises (@p121 @p120) :args ((or @t77 (not @t76)))) % 0.15/0.39 (step @p123 :rule cnf_or_neg :args (@t77 0)) % 0.15/0.39 (step @p124 :rule eq_resolve :premises (@p123 @p122)) % 0.15/0.39 (step @p125 :rule reordering :premises (@p124) :args ((or @t75 @t77))) % 0.15/0.39 (step @p126 :rule chain_m_resolution :premises (@p125 @p86) :args (@t75 @t83 @t85)) % 0.15/0.39 (step @p127 :rule cnf_or_pos :args (@t95)) % 0.15/0.39 (step @p128 :rule reordering :premises (@p127) :args ((or @t76 @t73 @t91 (not @t95)))) % 0.15/0.39 (step @p129 :rule chain_m_resolution :premises (@p128 @p126 @p119 @p117) :args (@t91 (@list false true false) (@list @t75 @t73 @t95))) % 0.15/0.39 (step @p130 :rule bool-impl-elim :args (@t20 @t28)) % 0.15/0.39 (step @p131 :rule cong :premises (@p130) :args (@t29)) % 0.15/0.39 (step @p132 :rule eq_resolve :premises (@p18 @p131)) % 0.15/0.39 (step @p133 :rule instantiate :premises (@p132) :args ((@list @t68 @t69))) % 0.15/0.39 (step @p134 :rule bool-impl-elim :args (@t33 @t31)) % 0.15/0.39 (step @p135 :rule cong :premises (@p134) :args (@t34)) % 0.15/0.39 (step @p136 :rule eq_resolve :premises (@p22 @p135)) % 0.15/0.39 (step @p137 :rule instantiate :premises (@p136) :args (@t94)) % 0.15/0.39 (step @p138 :rule cnf_or_pos :args (@t97)) % 0.15/0.39 (step @p139 :rule reordering :premises (@p138) :args ((or @t76 @t96 (not @t97)))) % 0.15/0.39 (step @p140 :rule chain_m_resolution :premises (@p139 @p126 @p137) :args (@t96 @t98 (@list @t75 @t97))) % 0.15/0.39 (step @p141 :rule cnf_or_pos :args (@t101)) % 0.15/0.39 (step @p142 :rule reordering :premises (@p141) :args ((or @t100 @t99 (not @t101)))) % 0.15/0.39 (step @p143 :rule chain_m_resolution :premises (@p142 @p140 @p133) :args (@t99 @t98 (@list @t96 @t101))) % 0.15/0.39 (step @p144 :rule eq-symm :args (@t24 @t1)) % 0.15/0.39 (step @p145 :rule cong :premises (@p144) :args (@t25)) % 0.15/0.39 (step @p146 :rule eq_resolve :premises (@p17 @p145)) % 0.15/0.39 (step @p147 :rule instantiate :premises (@p146) :args (@t102)) % 0.15/0.39 (step @p148 :rule aci_norm :args ((= (or (or @t104 @t103) @t48) (or @t104 @t103 @t48)))) % 0.15/0.39 (step @p149 :rule refl :args (@t48)) % 0.15/0.39 (step @p150 :rule bool-and-de-morgan :args (@t20 @t38 true)) % 0.15/0.39 (step @p151 :rule nary_cong :premises (@p150 @p149) :args ((or (not @t39) @t48))) % 0.15/0.39 (step @p152 :rule trans :premises (@p151 @p148)) % 0.15/0.39 (step @p153 :rule bool-impl-elim :args (@t39 @t48)) % 0.15/0.39 (step @p154 :rule trans :premises (@p153 @p152)) % 0.15/0.39 (step @p155 :rule cong :premises (@p154) :args (@t49)) % 0.15/0.39 (step @p156 :rule eq_resolve :premises (@p41 @p155)) % 0.15/0.39 (step @p157 :rule instantiate :premises (@p156) :args ((@list @t68 @t89 @t69))) % 0.15/0.39 (step @p158 :rule instantiate :premises (@p20) :args (@t102)) % 0.15/0.39 (step @p159 :rule cnf_or_pos :args (@t109)) % 0.15/0.39 (step @p160 :rule reordering :premises (@p159) :args ((or @t100 @t108 @t106 (not @t109)))) % 0.15/0.39 (step @p161 :rule chain_m_resolution :premises (@p160 @p140 @p158 @p157) :args (@t106 (@list false false false) (@list @t96 @t107 @t109))) % 0.15/0.39 (step @p162 :rule refl :args (@t110)) % 0.15/0.39 (step @p163 :rule refl :args (@t112)) % 0.15/0.39 (step @p164 :rule refl :args (@t113)) % 0.15/0.39 (step @p165 :rule refl :args (@t114)) % 0.15/0.39 (step @p166 :rule bool-double-not-elim :args (@t72)) % 0.15/0.39 (step @p167 :rule nary_cong :premises (@p166 @p165 @p164 @p163 @p162) :args ((or (not @t84) @t114 @t113 @t112 @t110))) % 0.15/0.39 (assume-push @p196 @t84) % 0.15/0.39 (assume-push @p197 @t99) % 0.15/0.39 (assume-push @p198 @t91) % 0.15/0.39 (assume-push @p199 @t111) % 0.15/0.39 (step @p172 :rule false_intro :premises (@p88)) % 0.15/0.39 (step @p173 :rule symm :premises (@p143)) % 0.15/0.39 (step @p174 :rule refl :args (@t69)) % 0.15/0.39 (step @p175 :rule symm :premises (@p147)) % 0.15/0.39 (step @p176 :rule cong :premises (@p175 @p174) :args (@t105)) % 0.15/0.39 (step @p177 :rule trans :premises (@p176 @p173)) % 0.15/0.39 (step @p178 :rule symm :premises (@p129)) % 0.15/0.39 (step @p179 :rule cong :premises (@p178 @p177) :args (@t106)) % 0.15/0.39 (step @p180 :rule trans :premises (@p179 @p172)) % 0.15/0.39 (step @p181 :rule false_elim :premises (@p180)) % 0.15/0.39 (step-pop @p200 :rule scope :premises (@p181)) % 0.15/0.39 (step-pop @p201 :rule scope :premises (@p200)) % 0.15/0.39 (step-pop @p202 :rule scope :premises (@p201)) % 0.15/0.39 (step-pop @p203 :rule scope :premises (@p202)) % 0.15/0.39 (step @p182 :rule process_scope :premises (@p203) :args (@t110)) % 0.15/0.39 (step @p187 :rule implies_elim :premises (@p182)) % 0.15/0.39 (step @p188 :rule cnf_and_neg :args (@t115)) % 0.15/0.39 (step @p189 :rule resolution :premises (@p188 @p187) :args (true @t115)) % 0.15/0.39 (step @p190 :rule eq_resolve :premises (@p189 @p167)) % 0.15/0.39 (step @p191 false :rule chain_m_resolution :premises (@p190 @p161 @p147 @p143 @p129 @p88) :args (false (@list false false false false true) (@list @t106 @t111 @t99 @t91 @t72))) % 0.15/0.39 ) % 0.15/0.39 % SZS output end Proof % 0.15/0.39 % cvc5 exiting %------------------------------------------------------------------------------