%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU174+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 : n013.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 0.45s 0.67s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU174+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:33:30 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.67 % SZS status Theorem % 0.45/0.67 % SZS output start Proof % 0.45/0.67 ( % 0.45/0.67 (declare-sort $$unsorted 0) % 0.45/0.67 (declare-const tptp.complements_of_subsets (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.empty_set $$unsorted) % 0.45/0.67 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.67 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.45/0.67 (define @t1 () (@var "A" $$unsorted)) % 0.45/0.67 (define @t2 () (@var "B" $$unsorted)) % 0.45/0.67 (define @t3 () (tptp.in @t1 @t2)) % 0.45/0.67 (define @t4 () (@list @t1 @t2)) % 0.45/0.67 (define @t5 () (@var "C" $$unsorted)) % 0.45/0.67 (define @t6 () (@list @t5)) % 0.45/0.67 (define @t7 () (tptp.subset @t1 @t2)) % 0.45/0.67 (define @t8 () (@var "D" $$unsorted)) % 0.45/0.67 (define @t9 () (tptp.in (tptp.subset_complement @t1 @t8) @t2)) % 0.45/0.67 (define @t10 () (= (tptp.in @t8 @t5) @t9)) % 0.45/0.67 (define @t11 () (tptp.powerset @t1)) % 0.45/0.67 (define @t12 () (tptp.element @t8 @t11)) % 0.45/0.67 (define @t13 () (@list @t8)) % 0.45/0.67 (define @t14 () (forall @t13 (=> @t12 @t10))) % 0.45/0.67 (define @t15 () (tptp.complements_of_subsets @t1 @t2)) % 0.45/0.67 (define @t16 () (= @t5 @t15)) % 0.45/0.67 (define @t17 () (= @t16 @t14)) % 0.45/0.67 (define @t18 () (tptp.powerset @t11)) % 0.45/0.67 (define @t19 () (tptp.element @t5 @t18)) % 0.45/0.67 (define @t20 () (=> @t19 @t17)) % 0.45/0.67 (define @t21 () (forall @t6 @t20)) % 0.45/0.67 (define @t22 () (tptp.element @t2 @t18)) % 0.45/0.67 (define @t23 () (=> @t22 @t21)) % 0.45/0.67 (define @t24 () (forall @t4 @t23)) % 0.45/0.67 (define @t25 () (tptp.subset_complement @t1 @t2)) % 0.45/0.67 (define @t26 () (tptp.element @t25 @t11)) % 0.45/0.67 (define @t27 () (tptp.element @t2 @t11)) % 0.45/0.67 (define @t28 () (forall @t4 (=> @t27 @t26))) % 0.45/0.67 (define @t29 () (tptp.element @t15 @t18)) % 0.45/0.67 (define @t30 () (forall @t4 (=> @t22 @t29))) % 0.45/0.67 (define @t31 () (@list @t2)) % 0.45/0.67 (define @t32 () (@list @t1)) % 0.45/0.67 (define @t33 () (tptp.complements_of_subsets @t1 @t15)) % 0.45/0.67 (define @t34 () (=> @t22 (= @t33 @t2))) % 0.45/0.67 (define @t35 () (forall @t4 @t34)) % 0.45/0.67 (define @t36 () (tptp.empty @t2)) % 0.45/0.67 (define @t37 () (not @t36)) % 0.45/0.67 (define @t38 () (tptp.empty @t1)) % 0.45/0.67 (define @t39 () (not @t38)) % 0.45/0.67 (define @t40 () (tptp.element @t1 @t2)) % 0.45/0.67 (define @t41 () (= @t15 tptp.empty_set)) % 0.45/0.67 (define @t42 () (= @t2 tptp.empty_set)) % 0.45/0.67 (define @t43 () (not @t42)) % 0.45/0.67 (define @t44 () (not (and @t43 @t41))) % 0.45/0.67 (define @t45 () (forall @t4 (=> @t22 @t44))) % 0.45/0.67 (define @t46 () (not @t45)) % 0.45/0.67 (define @t47 () (tptp.element @t2 (tptp.powerset @t5))) % 0.45/0.67 (define @t48 () (@list @t1 @t2 @t5)) % 0.45/0.67 (define @t49 () (forall @t4 (not (and @t3 @t36)))) % 0.45/0.67 (define @t50 () (not @t41)) % 0.45/0.67 (define @t51 () (not @t22)) % 0.45/0.67 (define @t52 () (or @t51 @t42 @t50)) % 0.45/0.67 (define @t53 () (forall @t4 @t52)) % 0.45/0.67 (define @t54 () (@quantifiers_skolemize @t53 1)) % 0.45/0.67 (define @t55 () (@quantifiers_skolemize @t53 0)) % 0.45/0.67 (define @t56 () (tptp.complements_of_subsets @t55 @t54)) % 0.45/0.67 (define @t57 () (= tptp.empty_set @t56)) % 0.45/0.67 (define @t58 () (not @t57)) % 0.45/0.67 (define @t59 () (= tptp.empty_set @t54)) % 0.45/0.67 (define @t60 () (tptp.powerset @t55)) % 0.45/0.67 (define @t61 () (tptp.powerset @t60)) % 0.45/0.67 (define @t62 () (tptp.element @t54 @t61)) % 0.45/0.67 (define @t63 () (not @t62)) % 0.45/0.67 (define @t64 () (or @t63 @t59 @t58)) % 0.45/0.67 (define @t65 () (not @t64)) % 0.45/0.67 (define @t66 () (not @t53)) % 0.45/0.67 (define @t67 () (not (= @t56 tptp.empty_set))) % 0.45/0.67 (define @t68 () (or @t63 (= @t54 tptp.empty_set) @t67)) % 0.45/0.67 (define @t69 () (not @t68)) % 0.45/0.67 (define @t70 () (@list true)) % 0.45/0.67 (define @t71 () (@list @t64)) % 0.45/0.67 (define @t72 () (tptp.empty @t56)) % 0.45/0.67 (define @t73 () (@var "BOUND_VARIABLE_7560" $$unsorted)) % 0.45/0.67 (define @t74 () (tptp.in @t8 @t73)) % 0.45/0.67 (define @t75 () (not @t12)) % 0.45/0.67 (define @t76 () (or @t75 (= @t74 @t9))) % 0.45/0.67 (define @t77 () (forall @t13 @t76)) % 0.45/0.67 (define @t78 () (= (= @t73 @t15) @t77)) % 0.45/0.67 (define @t79 () (not (tptp.element @t73 @t18))) % 0.45/0.67 (define @t80 () (or @t51 @t79 @t78)) % 0.45/0.67 (define @t81 () (or @t79 @t78)) % 0.45/0.67 (define @t82 () (or @t51 @t81)) % 0.45/0.67 (define @t83 () (@list @t1 @t2 @t73)) % 0.45/0.67 (define @t84 () (forall @t83 @t82)) % 0.45/0.67 (define @t85 () (@list @t73)) % 0.45/0.67 (define @t86 () (forall @t85 @t82)) % 0.45/0.67 (define @t87 () (forall @t85 @t81)) % 0.45/0.67 (define @t88 () (or @t51 @t87)) % 0.45/0.67 (define @t89 () (= @t16 (forall @t13 (or @t75 @t10)))) % 0.45/0.67 (define @t90 () (forall @t6 (or (not @t19) @t89))) % 0.45/0.67 (define @t91 () (tptp.subset_complement @t55 @t8)) % 0.45/0.67 (define @t92 () (tptp.in @t91 @t56)) % 0.45/0.67 (define @t93 () (tptp.in @t8 @t54)) % 0.45/0.67 (define @t94 () (not (tptp.element @t8 @t60))) % 0.45/0.67 (define @t95 () (or @t94 (= @t92 @t93))) % 0.45/0.67 (define @t96 () (forall @t13 @t95)) % 0.45/0.67 (define @t97 () (tptp.complements_of_subsets @t55 @t56)) % 0.45/0.67 (define @t98 () (= (= @t97 @t54) @t96)) % 0.45/0.67 (define @t99 () (tptp.element @t56 @t61)) % 0.45/0.67 (define @t100 () (not @t99)) % 0.45/0.67 (define @t101 () (or @t100 @t63 @t98)) % 0.45/0.67 (define @t102 () (forall @t83 (or @t51 @t79 (= (= @t15 @t73) (forall @t13 (or @t75 (= @t9 @t74))))))) % 0.45/0.67 (define @t103 () (forall @t13 (or @t94 (= @t93 @t92)))) % 0.45/0.67 (define @t104 () (= @t54 @t97)) % 0.45/0.67 (define @t105 () (= @t104 @t103)) % 0.45/0.67 (define @t106 () (or @t100 @t63 @t105)) % 0.45/0.67 (define @t107 () (@list false)) % 0.45/0.67 (define @t108 () (@list @t102)) % 0.45/0.67 (define @t109 () (@list @t55 @t54)) % 0.45/0.67 (define @t110 () (or @t63 @t99)) % 0.45/0.67 (define @t111 () (@list false false)) % 0.45/0.67 (define @t112 () (= @t2 @t33)) % 0.45/0.67 (define @t113 () (or @t63 @t104)) % 0.45/0.67 (define @t114 () (forall @t13 (or @t94 (= (tptp.in @t91 @t54) @t93)))) % 0.45/0.67 (define @t115 () (@quantifiers_skolemize @t114 0)) % 0.45/0.67 (define @t116 () (tptp.subset_complement @t55 @t115)) % 0.45/0.67 (define @t117 () (= @t54 @t56)) % 0.45/0.67 (define @t118 () (= @t56 @t54)) % 0.45/0.67 (define @t119 () (= @t118 @t114)) % 0.45/0.67 (define @t120 () (or @t63 @t63 @t119)) % 0.45/0.67 (define @t121 () (= @t114 @t117)) % 0.45/0.67 (define @t122 () (or @t63 @t63 @t121)) % 0.45/0.67 (define @t123 () (not @t114)) % 0.45/0.67 (define @t124 () (@list true false)) % 0.45/0.67 (define @t125 () (tptp.element @t115 @t60)) % 0.45/0.67 (define @t126 () (tptp.in @t115 @t54)) % 0.45/0.67 (define @t127 () (tptp.in @t116 @t54)) % 0.45/0.67 (define @t128 () (= @t127 @t126)) % 0.45/0.67 (define @t129 () (not @t125)) % 0.45/0.67 (define @t130 () (or @t129 @t128)) % 0.45/0.67 (define @t131 () (@list @t130)) % 0.45/0.67 (define @t132 () (tptp.element @t116 @t60)) % 0.45/0.67 (define @t133 () (or @t129 @t132)) % 0.45/0.67 (define @t134 () (tptp.subset_complement @t55 @t116)) % 0.45/0.67 (define @t135 () (tptp.in @t134 @t56)) % 0.45/0.67 (define @t136 () (= @t127 @t135)) % 0.45/0.67 (define @t137 () (not @t132)) % 0.45/0.67 (define @t138 () (or @t137 @t136)) % 0.45/0.67 (define @t139 () (tptp.in @t116 @t56)) % 0.45/0.67 (define @t140 () (= @t126 @t139)) % 0.45/0.67 (define @t141 () (or @t129 @t140)) % 0.45/0.67 (define @t142 () (not @t72)) % 0.45/0.67 (define @t143 () (not @t139)) % 0.45/0.67 (define @t144 () (or @t143 @t142)) % 0.45/0.67 (define @t145 () (not @t126)) % 0.45/0.67 (define @t146 () (not @t135)) % 0.45/0.67 (define @t147 () (or @t146 @t142)) % 0.45/0.67 (define @t148 () (not @t147)) % 0.45/0.67 (define @t149 () (forall @t4 (or (not @t3) @t37))) % 0.45/0.67 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.45/0.67 (assume @p2 (forall @t4 (= @t7 (forall @t6 (=> (tptp.in @t5 @t1) (tptp.in @t5 @t2)))))) % 0.45/0.67 (assume @p3 @t24) % 0.45/0.67 (assume @p4 true) % 0.45/0.67 (assume @p5 @t28) % 0.45/0.67 (assume @p6 @t30) % 0.45/0.67 (assume @p7 (forall @t32 (exists @t31 (tptp.element @t2 @t1)))) % 0.45/0.67 (assume @p8 (forall @t32 (not (tptp.empty @t11)))) % 0.45/0.67 (assume @p9 (tptp.empty tptp.empty_set)) % 0.45/0.67 (assume @p10 (forall @t4 (=> @t27 (= (tptp.subset_complement @t1 @t25) @t2)))) % 0.45/0.67 (assume @p11 @t35) % 0.45/0.67 (assume @p12 (forall @t32 (=> @t39 (exists @t31 (and @t27 @t37))))) % 0.45/0.67 (assume @p13 (exists @t32 @t38)) % 0.45/0.67 (assume @p14 (forall @t32 (exists @t31 (and @t27 @t36)))) % 0.45/0.67 (assume @p15 (exists @t32 @t39)) % 0.45/0.67 (assume @p16 (forall @t4 (tptp.subset @t1 @t1))) % 0.45/0.67 (assume @p17 (forall @t4 (=> @t3 @t40))) % 0.45/0.67 (assume @p18 (forall @t4 (=> @t40 (or @t36 @t3)))) % 0.45/0.67 (assume @p19 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t7))) % 0.45/0.67 (assume @p20 @t46) % 0.45/0.67 (assume @p21 (forall @t48 (=> (and @t3 @t47) (tptp.element @t1 @t5)))) % 0.45/0.67 (assume @p22 (forall @t48 (not (and @t3 @t47 (tptp.empty @t5))))) % 0.45/0.67 (assume @p23 (forall @t32 (=> @t38 (= @t1 tptp.empty_set)))) % 0.45/0.67 (assume @p24 @t49) % 0.45/0.67 (assume @p25 (forall @t4 (not (and @t38 (not (= @t1 @t2)) @t36)))) % 0.45/0.67 (step @p26 :rule bool-and-de-morgan :args (@t3 @t36 true)) % 0.45/0.67 (step @p27 :rule cong :premises (@p26) :args (@t49)) % 0.45/0.67 (step @p28 :rule eq_resolve :premises (@p24 @p27)) % 0.45/0.67 (step @p29 :rule true_intro :premises (@p9)) % 0.45/0.67 (step @p30 :rule aci_norm :args ((= (or @t51 (or @t42 @t50)) @t52))) % 0.45/0.67 (step @p31 :rule refl :args (@t50)) % 0.45/0.67 (step @p32 :rule bool-double-not-elim :args (@t42)) % 0.45/0.67 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t43) @t50))) % 0.45/0.67 (step @p34 :rule bool-and-de-morgan :args (@t43 @t41 true)) % 0.45/0.67 (step @p35 :rule trans :premises (@p34 @p33)) % 0.45/0.67 (step @p36 :rule refl :args (@t51)) % 0.45/0.67 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t51 @t44))) % 0.45/0.67 (step @p38 :rule trans :premises (@p37 @p30)) % 0.45/0.67 (step @p39 :rule bool-impl-elim :args (@t22 @t44)) % 0.45/0.67 (step @p40 :rule trans :premises (@p39 @p38)) % 0.45/0.67 (step @p41 :rule cong :premises (@p40) :args (@t45)) % 0.45/0.67 (step @p42 :rule cong :premises (@p41) :args (@t46)) % 0.45/0.67 (step @p43 :rule eq_resolve :premises (@p20 @p42)) % 0.45/0.67 (step @p44 :rule refl :args (@t65)) % 0.45/0.67 (step @p45 :rule bool-double-not-elim :args (@t53)) % 0.45/0.67 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or (not @t66) @t65))) % 0.45/0.67 (step @p47 :rule eq-symm :args (@t56 tptp.empty_set)) % 0.45/0.67 (step @p48 :rule cong :premises (@p47) :args (@t67)) % 0.45/0.67 (step @p49 :rule eq-symm :args (@t54 tptp.empty_set)) % 0.45/0.67 (step @p50 :rule refl :args (@t63)) % 0.45/0.67 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args (@t68)) % 0.45/0.67 (step @p52 :rule cong :premises (@p51) :args (@t69)) % 0.45/0.67 (step @p53 :rule refl :args (@t66)) % 0.45/0.67 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t66 @t69))) % 0.45/0.67 (assume-push @p242 @t66) % 0.45/0.67 (step @p56 :rule skolemize :premises (@p43)) % 0.45/0.67 (step-pop @p243 :rule scope :premises (@p56)) % 0.45/0.67 (step @p57 :rule process_scope :premises (@p243) :args (@t69)) % 0.45/0.67 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.45/0.67 (step @p60 :rule implies_elim :premises (@p59)) % 0.45/0.67 (step @p61 :rule eq_resolve :premises (@p60 @p46)) % 0.45/0.67 (step @p62 :rule chain_m_resolution :premises (@p61 @p43) :args (@t65 @t70 (@list @t53))) % 0.45/0.67 (step @p63 :rule bool-double-not-elim :args (@t57)) % 0.45/0.67 (step @p64 :rule refl :args (@t64)) % 0.45/0.67 (step @p65 :rule nary_cong :premises (@p64 @p63) :args ((or @t64 (not @t58)))) % 0.45/0.67 (step @p66 :rule cnf_or_neg :args (@t64 2)) % 0.45/0.67 (step @p67 :rule eq_resolve :premises (@p66 @p65)) % 0.45/0.67 (step @p68 :rule reordering :premises (@p67) :args ((or @t57 @t64))) % 0.45/0.67 (step @p69 :rule chain_m_resolution :premises (@p68 @p62) :args (@t57 @t70 @t71)) % 0.45/0.67 (step @p70 :rule symm :premises (@p69)) % 0.45/0.67 (step @p71 :rule cong :premises (@p70) :args (@t72)) % 0.45/0.67 (step @p72 :rule trans :premises (@p71 @p29)) % 0.45/0.67 (step @p73 :rule true_elim :premises (@p72)) % 0.45/0.67 (step @p74 :rule eq-symm :args (@t74 @t9)) % 0.45/0.67 (step @p75 :rule refl :args (@t75)) % 0.45/0.67 (step @p76 :rule nary_cong :premises (@p75 @p74) :args (@t76)) % 0.45/0.67 (step @p77 :rule cong :premises (@p76) :args (@t77)) % 0.45/0.67 (step @p78 :rule eq-symm :args (@t73 @t15)) % 0.45/0.67 (step @p79 :rule cong :premises (@p78 @p77) :args (@t78)) % 0.45/0.67 (step @p80 :rule refl :args (@t79)) % 0.45/0.67 (step @p81 :rule refl :args (@t51)) % 0.45/0.67 (step @p82 :rule nary_cong :premises (@p81 @p80 @p79) :args (@t80)) % 0.45/0.67 (step @p83 :rule aci_norm :args ((= @t82 @t80))) % 0.45/0.67 (step @p84 :rule trans :premises (@p83 @p82)) % 0.45/0.67 (step @p85 :rule cong :premises (@p84) :args (@t84)) % 0.45/0.67 (step @p86 :rule quant-merge-prenex :args ((= (forall @t4 @t86) @t84))) % 0.45/0.67 (step @p87 :rule alpha_equiv :args (@t87 (@list @t73) (@list @t5))) % 0.45/0.67 (step @p88 :rule nary_cong :premises (@p36 @p87) :args (@t88)) % 0.45/0.67 (step @p89 :rule quant-miniscope-or :args ((= @t86 @t88))) % 0.45/0.67 (step @p90 :rule trans :premises (@p89 @p88)) % 0.45/0.67 (step @p91 :rule symm :premises (@p90)) % 0.45/0.67 (step @p92 :rule cong :premises (@p91) :args ((forall @t4 (or @t51 @t90)))) % 0.45/0.67 (step @p93 :rule trans :premises (@p92 @p86)) % 0.45/0.67 (step @p94 :rule trans :premises (@p93 @p85)) % 0.45/0.67 (step @p95 :rule bool-impl-elim :args (@t22 @t90)) % 0.45/0.67 (step @p96 :rule cong :premises (@p95) :args ((forall @t4 (=> @t22 @t90)))) % 0.45/0.67 (step @p97 :rule trans :premises (@p96 @p94)) % 0.45/0.67 (step @p98 :rule bool-impl-elim :args (@t19 @t89)) % 0.45/0.67 (step @p99 :rule cong :premises (@p98) :args ((forall @t6 (=> @t19 @t89)))) % 0.45/0.67 (step @p100 :rule bool-impl-elim :args (@t12 @t10)) % 0.45/0.67 (step @p101 :rule cong :premises (@p100) :args (@t14)) % 0.45/0.67 (step @p102 :rule refl :args (@t16)) % 0.45/0.67 (step @p103 :rule cong :premises (@p102 @p101) :args (@t17)) % 0.45/0.67 (step @p104 :rule refl :args (@t19)) % 0.45/0.67 (step @p105 :rule cong :premises (@p104 @p103) :args (@t20)) % 0.45/0.67 (step @p106 :rule cong :premises (@p105) :args (@t21)) % 0.45/0.67 (step @p107 :rule trans :premises (@p106 @p99)) % 0.45/0.67 (step @p108 :rule refl :args (@t22)) % 0.45/0.67 (step @p109 :rule cong :premises (@p108 @p107) :args (@t23)) % 0.45/0.67 (step @p110 :rule cong :premises (@p109) :args (@t24)) % 0.45/0.67 (step @p111 :rule trans :premises (@p110 @p97)) % 0.45/0.67 (step @p112 :rule eq_resolve :premises (@p3 @p111)) % 0.45/0.67 (step @p113 :rule eq-symm :args (@t92 @t93)) % 0.45/0.67 (step @p114 :rule refl :args (@t94)) % 0.45/0.67 (step @p115 :rule nary_cong :premises (@p114 @p113) :args (@t95)) % 0.45/0.67 (step @p116 :rule cong :premises (@p115) :args (@t96)) % 0.45/0.67 (step @p117 :rule eq-symm :args (@t97 @t54)) % 0.45/0.67 (step @p118 :rule cong :premises (@p117 @p116) :args (@t98)) % 0.45/0.67 (step @p119 :rule refl :args (@t100)) % 0.45/0.67 (step @p120 :rule nary_cong :premises (@p119 @p50 @p118) :args (@t101)) % 0.45/0.67 (step @p121 :rule refl :args (@t102)) % 0.45/0.67 (step @p122 :rule cong :premises (@p121 @p120) :args ((=> @t102 @t101))) % 0.45/0.67 (assume-push @p244 @t102) % 0.45/0.67 (step @p124 :rule instantiate :premises (@p112) :args ((@list @t55 @t56 @t54))) % 0.45/0.67 (step-pop @p245 :rule scope :premises (@p124)) % 0.45/0.67 (step @p125 :rule process_scope :premises (@p245) :args (@t101)) % 0.45/0.67 (step @p127 :rule eq_resolve :premises (@p125 @p122)) % 0.45/0.67 (step @p128 :rule implies_elim :premises (@p127)) % 0.45/0.67 (step @p129 :rule chain_m_resolution :premises (@p128 @p112) :args (@t106 @t107 @t108)) % 0.45/0.67 (step @p130 :rule bool-impl-elim :args (@t22 @t29)) % 0.45/0.67 (step @p131 :rule cong :premises (@p130) :args (@t30)) % 0.45/0.67 (step @p132 :rule eq_resolve :premises (@p6 @p131)) % 0.45/0.67 (step @p133 :rule instantiate :premises (@p132) :args (@t109)) % 0.45/0.67 (step @p134 :rule bool-double-not-elim :args (@t62)) % 0.45/0.67 (step @p135 :rule nary_cong :premises (@p64 @p134) :args ((or @t64 (not @t63)))) % 0.45/0.67 (step @p136 :rule cnf_or_neg :args (@t64 0)) % 0.45/0.67 (step @p137 :rule eq_resolve :premises (@p136 @p135)) % 0.45/0.67 (step @p138 :rule reordering :premises (@p137) :args ((or @t62 @t64))) % 0.45/0.67 (step @p139 :rule chain_m_resolution :premises (@p138 @p62) :args (@t62 @t70 @t71)) % 0.45/0.67 (step @p140 :rule cnf_or_pos :args (@t110)) % 0.45/0.67 (step @p141 :rule reordering :premises (@p140) :args ((or @t63 @t99 (not @t110)))) % 0.45/0.67 (step @p142 :rule chain_m_resolution :premises (@p141 @p139 @p133) :args (@t99 @t111 (@list @t62 @t110))) % 0.45/0.67 (step @p143 :rule cnf_or_pos :args (@t106)) % 0.45/0.67 (step @p144 :rule reordering :premises (@p143) :args ((or @t63 @t100 @t105 (not @t106)))) % 0.45/0.67 (step @p145 :rule chain_m_resolution :premises (@p144 @p139 @p142 @p129) :args (@t105 (@list false false false) (@list @t62 @t99 @t106))) % 0.45/0.67 (step @p146 :rule bool-impl-elim :args (@t22 @t112)) % 0.45/0.67 (step @p147 :rule cong :premises (@p146) :args ((forall @t4 (=> @t22 @t112)))) % 0.45/0.67 (step @p148 :rule eq-symm :args (@t33 @t2)) % 0.45/0.67 (step @p149 :rule cong :premises (@p108 @p148) :args (@t34)) % 0.45/0.67 (step @p150 :rule cong :premises (@p149) :args (@t35)) % 0.45/0.67 (step @p151 :rule trans :premises (@p150 @p147)) % 0.45/0.67 (step @p152 :rule eq_resolve :premises (@p11 @p151)) % 0.45/0.67 (step @p153 :rule instantiate :premises (@p152) :args (@t109)) % 0.45/0.67 (step @p154 :rule cnf_or_pos :args (@t113)) % 0.45/0.67 (step @p155 :rule reordering :premises (@p154) :args ((or @t63 @t104 (not @t113)))) % 0.45/0.67 (step @p156 :rule chain_m_resolution :premises (@p155 @p139 @p153) :args (@t104 @t111 (@list @t62 @t113))) % 0.45/0.67 (step @p157 :rule cnf_equiv_pos1 :args (@t105)) % 0.45/0.67 (step @p158 :rule reordering :premises (@p157) :args ((or (not @t104) @t103 (not @t105)))) % 0.45/0.67 (step @p159 :rule chain_m_resolution :premises (@p158 @p156 @p145) :args (@t103 @t111 (@list @t104 @t105))) % 0.45/0.67 (step @p160 :rule instantiate :premises (@p159) :args ((@list @t116))) % 0.45/0.67 (step @p161 :rule bool-impl-elim :args (@t27 @t26)) % 0.45/0.67 (step @p162 :rule cong :premises (@p161) :args (@t28)) % 0.45/0.67 (step @p163 :rule eq_resolve :premises (@p5 @p162)) % 0.45/0.67 (step @p164 :rule instantiate :premises (@p163) :args ((@list @t55 @t115))) % 0.45/0.67 (step @p165 :rule eq-symm :args (@t117 @t114)) % 0.45/0.67 (step @p166 :rule refl :args (@t114)) % 0.45/0.67 (step @p167 :rule eq-symm :args (@t56 @t54)) % 0.45/0.67 (step @p168 :rule cong :premises (@p167 @p166) :args (@t119)) % 0.45/0.67 (step @p169 :rule trans :premises (@p168 @p165)) % 0.45/0.67 (step @p170 :rule nary_cong :premises (@p50 @p50 @p169) :args (@t120)) % 0.45/0.67 (step @p171 :rule cong :premises (@p121 @p170) :args ((=> @t102 @t120))) % 0.45/0.67 (assume-push @p246 @t102) % 0.45/0.67 (step @p173 :rule instantiate :premises (@p112) :args ((@list @t55 @t54 @t54))) % 0.45/0.67 (step-pop @p247 :rule scope :premises (@p173)) % 0.45/0.67 (step @p174 :rule process_scope :premises (@p247) :args (@t120)) % 0.45/0.67 (step @p176 :rule eq_resolve :premises (@p174 @p171)) % 0.45/0.67 (step @p177 :rule implies_elim :premises (@p176)) % 0.45/0.67 (step @p178 :rule chain_m_resolution :premises (@p177 @p112) :args (@t122 @t107 @t108)) % 0.45/0.67 (step @p179 :rule cnf_or_pos :args (@t122)) % 0.45/0.67 (step @p180 :rule factoring :premises (@p179)) % 0.45/0.67 (step @p181 :rule reordering :premises (@p180) :args ((or @t63 @t121 (not @t122)))) % 0.45/0.67 (step @p182 :rule chain_m_resolution :premises (@p181 @p139 @p178) :args (@t121 @t111 (@list @t62 @t122))) % 0.45/0.67 (step @p183 :rule bool-eq-false :args (@t117)) % 0.45/0.67 (step @p184 :rule symm :premises (@p183)) % 0.45/0.67 (step @p185 :rule cong :premises (@p167) :args ((not @t118))) % 0.45/0.67 (step @p186 :rule bool-eq-false :args (@t118)) % 0.45/0.67 (step @p187 :rule trans :premises (@p186 @p185)) % 0.45/0.67 (step @p188 :rule trans :premises (@p187 @p184)) % 0.45/0.67 (step @p189 :rule cnf_or_neg :args (@t64 1)) % 0.45/0.67 (step @p190 :rule chain_m_resolution :premises (@p189 @p62) :args ((not @t59) @t70 @t71)) % 0.45/0.67 (step @p191 :rule false_intro :premises (@p190)) % 0.45/0.67 (step @p192 :rule refl :args (@t54)) % 0.45/0.67 (step @p193 :rule cong :premises (@p70 @p192) :args (@t118)) % 0.45/0.67 (step @p194 :rule trans :premises (@p193 @p191)) % 0.45/0.67 (step @p195 :rule eq_resolve :premises (@p194 @p188)) % 0.45/0.67 (step @p196 :rule false_elim :premises (@p195)) % 0.45/0.67 (step @p197 :rule cnf_equiv_pos1 :args (@t121)) % 0.45/0.67 (step @p198 :rule reordering :premises (@p197) :args ((or @t117 @t123 (not @t121)))) % 0.45/0.67 (step @p199 :rule chain_m_resolution :premises (@p198 @p196 @p182) :args (@t123 @t124 (@list @t117 @t121))) % 0.45/0.67 (step @p200 :rule skolemize :premises (@p199)) % 0.45/0.67 (step @p201 :rule bool-double-not-elim :args (@t125)) % 0.45/0.67 (step @p202 :rule refl :args (@t130)) % 0.45/0.67 (step @p203 :rule nary_cong :premises (@p202 @p201) :args ((or @t130 (not @t129)))) % 0.45/0.67 (step @p204 :rule cnf_or_neg :args (@t130 0)) % 0.45/0.67 (step @p205 :rule eq_resolve :premises (@p204 @p203)) % 0.45/0.67 (step @p206 :rule reordering :premises (@p205) :args ((or @t125 @t130))) % 0.45/0.67 (step @p207 :rule chain_m_resolution :premises (@p206 @p200) :args (@t125 @t70 @t131)) % 0.45/0.67 (step @p208 :rule cnf_or_pos :args (@t133)) % 0.45/0.67 (step @p209 :rule reordering :premises (@p208) :args ((or @t129 @t132 (not @t133)))) % 0.45/0.67 (step @p210 :rule chain_m_resolution :premises (@p209 @p207 @p164) :args (@t132 @t111 (@list @t125 @t133))) % 0.45/0.67 (step @p211 :rule cnf_or_pos :args (@t138)) % 0.45/0.67 (step @p212 :rule reordering :premises (@p211) :args ((or @t137 @t136 (not @t138)))) % 0.45/0.67 (step @p213 :rule chain_m_resolution :premises (@p212 @p210 @p160) :args (@t136 @t111 (@list @t132 @t138))) % 0.45/0.67 (step @p214 :rule cnf_or_neg :args (@t130 1)) % 0.45/0.67 (step @p215 :rule chain_m_resolution :premises (@p214 @p200) :args ((not @t128) @t70 @t131)) % 0.45/0.67 (step @p216 :rule instantiate :premises (@p159) :args ((@list @t115))) % 0.45/0.67 (step @p217 :rule cnf_or_pos :args (@t141)) % 0.45/0.67 (step @p218 :rule reordering :premises (@p217) :args ((or @t129 @t140 (not @t141)))) % 0.45/0.67 (step @p219 :rule chain_m_resolution :premises (@p218 @p207 @p216) :args (@t140 @t111 (@list @t125 @t141))) % 0.45/0.67 (step @p220 :rule instantiate :premises (@p28) :args ((@list @t116 @t56))) % 0.45/0.67 (step @p221 :rule cnf_or_pos :args (@t144)) % 0.45/0.67 (step @p222 :rule reordering :premises (@p221) :args ((or @t143 @t142 (not @t144)))) % 0.45/0.67 (step @p223 :rule chain_m_resolution :premises (@p222 @p73 @p220) :args (@t143 @t111 (@list @t72 @t144))) % 0.45/0.67 (step @p224 :rule cnf_equiv_pos1 :args (@t140)) % 0.45/0.67 (step @p225 :rule reordering :premises (@p224) :args ((or @t145 @t139 (not @t140)))) % 0.45/0.67 (step @p226 :rule chain_m_resolution :premises (@p225 @p223 @p219) :args (@t145 @t124 (@list @t139 @t140))) % 0.45/0.67 (step @p227 :rule cnf_equiv_neg1 :args (@t128)) % 0.45/0.67 (step @p228 :rule reordering :premises (@p227) :args ((or @t127 @t126 @t128))) % 0.45/0.67 (step @p229 :rule chain_m_resolution :premises (@p228 @p226 @p215) :args (@t127 (@list true true) (@list @t126 @t128))) % 0.45/0.67 (step @p230 :rule cnf_equiv_pos1 :args (@t136)) % 0.45/0.67 (step @p231 :rule reordering :premises (@p230) :args ((or (not @t127) @t135 (not @t136)))) % 0.45/0.67 (step @p232 :rule chain_m_resolution :premises (@p231 @p229 @p213) :args (@t135 @t111 (@list @t127 @t136))) % 0.45/0.67 (step @p233 :rule cnf_or_pos :args (@t147)) % 0.45/0.67 (step @p234 :rule reordering :premises (@p233) :args ((or @t146 @t142 @t148))) % 0.45/0.67 (step @p235 :rule chain_m_resolution :premises (@p234 @p232 @p73) :args (@t148 @t111 (@list @t135 @t72))) % 0.45/0.67 (assume-push @p248 @t149) % 0.45/0.67 (step @p237 :rule instantiate :premises (@p28) :args ((@list @t134 @t56))) % 0.45/0.67 (step-pop @p249 :rule scope :premises (@p237)) % 0.45/0.67 (step @p238 :rule process_scope :premises (@p249) :args (@t147)) % 0.45/0.67 (step @p240 :rule implies_elim :premises (@p238)) % 0.45/0.67 (step @p241 false :rule chain_m_resolution :premises (@p240 @p235 @p28) :args (false @t124 (@list @t147 @t149))) % 0.45/0.67 ) % 0.45/0.67 % SZS output end Proof % 0.45/0.67 % cvc5 exiting %------------------------------------------------------------------------------