%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU323+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 : n025.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 08:51:23 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU323+1 : TPTP v9.2.1. Released v3.3.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 16:57:02 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.topstr_closure (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.topological_space (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.top_str (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.closed_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.interior (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.open_subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.subset_complement (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.the_carrier @t1)) % 0.38/0.58 (define @t4 () (tptp.subset_complement @t3 @t2)) % 0.38/0.58 (define @t5 () (tptp.open_subset @t4 @t1)) % 0.38/0.58 (define @t6 () (tptp.powerset @t3)) % 0.38/0.58 (define @t7 () (tptp.element @t2 @t6)) % 0.38/0.58 (define @t8 () (tptp.closed_subset @t2 @t1)) % 0.38/0.58 (define @t9 () (tptp.top_str @t1)) % 0.38/0.58 (define @t10 () (tptp.topological_space @t1)) % 0.38/0.58 (define @t11 () (and @t10 @t9 @t8 @t7)) % 0.38/0.58 (define @t12 () (@list @t1 @t2)) % 0.38/0.58 (define @t13 () (forall @t12 (=> @t11 @t5))) % 0.38/0.58 (define @t14 () (@list @t2)) % 0.38/0.58 (define @t15 () (and @t10 @t9)) % 0.38/0.58 (define @t16 () (@list @t1)) % 0.38/0.58 (define @t17 () (tptp.subset_complement @t1 @t2)) % 0.38/0.58 (define @t18 () (tptp.powerset @t1)) % 0.38/0.58 (define @t19 () (tptp.element @t2 @t18)) % 0.38/0.58 (define @t20 () (tptp.one_sorted_str @t1)) % 0.38/0.58 (define @t21 () (tptp.element @t17 @t18)) % 0.38/0.58 (define @t22 () (forall @t12 (=> @t19 @t21))) % 0.38/0.58 (define @t23 () (tptp.topstr_closure @t1 @t2)) % 0.38/0.58 (define @t24 () (tptp.element @t23 @t6)) % 0.38/0.58 (define @t25 () (and @t9 @t7)) % 0.38/0.58 (define @t26 () (forall @t12 (=> @t25 @t24))) % 0.38/0.58 (define @t27 () (tptp.closed_subset @t23 @t1)) % 0.38/0.58 (define @t28 () (and @t10 @t9 @t7)) % 0.38/0.58 (define @t29 () (forall @t12 (=> @t28 @t27))) % 0.38/0.58 (define @t30 () (tptp.open_subset @t2 @t1)) % 0.38/0.58 (define @t31 () (tptp.interior @t1 @t2)) % 0.38/0.58 (define @t32 () (= @t31 (tptp.subset_complement @t3 (tptp.topstr_closure @t1 @t4)))) % 0.38/0.58 (define @t33 () (forall @t14 (=> @t7 @t32))) % 0.38/0.58 (define @t34 () (=> @t9 @t33)) % 0.38/0.58 (define @t35 () (forall @t16 @t34)) % 0.38/0.58 (define @t36 () (tptp.open_subset @t31 @t1)) % 0.38/0.58 (define @t37 () (forall @t14 (=> @t7 @t36))) % 0.38/0.58 (define @t38 () (=> @t15 @t37)) % 0.38/0.58 (define @t39 () (forall @t16 @t38)) % 0.38/0.58 (define @t40 () (not @t39)) % 0.38/0.58 (define @t41 () (not @t7)) % 0.38/0.58 (define @t42 () (not @t8)) % 0.38/0.58 (define @t43 () (not @t9)) % 0.38/0.58 (define @t44 () (not @t10)) % 0.38/0.58 (define @t45 () (or @t44 @t43 @t42 @t41)) % 0.38/0.58 (define @t46 () (@var "BOUND_VARIABLE_7611" $$unsorted)) % 0.38/0.58 (define @t47 () (tptp.open_subset (tptp.interior @t1 @t46) @t1)) % 0.38/0.58 (define @t48 () (not (tptp.element @t46 @t6))) % 0.38/0.58 (define @t49 () (or @t44 @t43 @t48 @t47)) % 0.38/0.58 (define @t50 () (@list @t1 @t46)) % 0.38/0.58 (define @t51 () (forall @t50 @t49)) % 0.38/0.58 (define @t52 () (@quantifiers_skolemize @t51 1)) % 0.38/0.58 (define @t53 () (@quantifiers_skolemize @t51 0)) % 0.38/0.58 (define @t54 () (tptp.the_carrier @t53)) % 0.38/0.58 (define @t55 () (tptp.subset_complement @t54 @t52)) % 0.38/0.58 (define @t56 () (tptp.topstr_closure @t53 @t55)) % 0.38/0.58 (define @t57 () (or @t43 @t41)) % 0.38/0.58 (define @t58 () (not @t25)) % 0.38/0.58 (define @t59 () (@list @t53 @t55)) % 0.38/0.58 (define @t60 () (or @t48 @t47)) % 0.38/0.58 (define @t61 () (or @t44 @t43 @t60)) % 0.38/0.58 (define @t62 () (forall @t50 @t61)) % 0.38/0.58 (define @t63 () (@list @t46)) % 0.38/0.58 (define @t64 () (forall @t63 @t61)) % 0.38/0.58 (define @t65 () (forall @t63 @t60)) % 0.38/0.58 (define @t66 () (@list @t2)) % 0.38/0.58 (define @t67 () (or @t44 @t43 @t65)) % 0.38/0.58 (define @t68 () (forall @t14 (or @t41 @t36))) % 0.38/0.58 (define @t69 () (or @t44 @t43 @t68)) % 0.38/0.58 (define @t70 () (tptp.powerset @t54)) % 0.38/0.58 (define @t71 () (tptp.element @t52 @t70)) % 0.38/0.58 (define @t72 () (tptp.interior @t53 @t52)) % 0.38/0.58 (define @t73 () (tptp.open_subset @t72 @t53)) % 0.38/0.58 (define @t74 () (not @t71)) % 0.38/0.58 (define @t75 () (tptp.top_str @t53)) % 0.38/0.58 (define @t76 () (not @t75)) % 0.38/0.58 (define @t77 () (tptp.topological_space @t53)) % 0.38/0.58 (define @t78 () (not @t77)) % 0.38/0.58 (define @t79 () (or @t78 @t76 @t74 @t73)) % 0.38/0.58 (define @t80 () (@list true)) % 0.38/0.58 (define @t81 () (@list @t79)) % 0.38/0.58 (define @t82 () (tptp.element @t55 @t70)) % 0.38/0.58 (define @t83 () (or @t74 @t82)) % 0.38/0.58 (define @t84 () (tptp.element @t56 @t70)) % 0.38/0.58 (define @t85 () (not @t82)) % 0.38/0.58 (define @t86 () (or @t76 @t85 @t84)) % 0.38/0.58 (define @t87 () (@list false false false)) % 0.38/0.58 (define @t88 () (or @t44 @t43 @t41)) % 0.38/0.58 (define @t89 () (tptp.closed_subset @t56 @t53)) % 0.38/0.58 (define @t90 () (or @t78 @t76 @t85 @t89)) % 0.38/0.58 (define @t91 () (tptp.subset_complement @t54 @t56)) % 0.38/0.58 (define @t92 () (tptp.open_subset @t91 @t53)) % 0.38/0.58 (define @t93 () (not @t84)) % 0.38/0.58 (define @t94 () (not @t89)) % 0.38/0.58 (define @t95 () (or @t78 @t76 @t94 @t93 @t92)) % 0.38/0.58 (define @t96 () (@var "BOUND_VARIABLE_7589" $$unsorted)) % 0.38/0.58 (define @t97 () (= (tptp.interior @t1 @t96) (tptp.subset_complement @t3 (tptp.topstr_closure @t1 (tptp.subset_complement @t3 @t96))))) % 0.38/0.58 (define @t98 () (not (tptp.element @t96 @t6))) % 0.38/0.58 (define @t99 () (or @t98 @t97)) % 0.38/0.58 (define @t100 () (or @t43 @t99)) % 0.38/0.58 (define @t101 () (forall (@list @t1 @t96) @t100)) % 0.38/0.58 (define @t102 () (@list @t96)) % 0.38/0.58 (define @t103 () (forall @t102 @t100)) % 0.38/0.58 (define @t104 () (forall @t102 @t99)) % 0.38/0.58 (define @t105 () (or @t43 @t104)) % 0.38/0.58 (define @t106 () (forall @t14 (or @t41 @t32))) % 0.38/0.58 (define @t107 () (= @t72 @t91)) % 0.38/0.58 (define @t108 () (or @t76 @t74 @t107)) % 0.38/0.58 (assume @p1 @t13) % 0.38/0.58 (assume @p2 (forall @t16 (=> @t15 (exists @t14 (and @t7 @t8))))) % 0.38/0.58 (assume @p3 (forall @t12 (=> @t19 (= (tptp.subset_complement @t1 @t17) @t2)))) % 0.38/0.58 (assume @p4 (forall @t12 (tptp.subset @t1 @t1))) % 0.38/0.58 (assume @p5 (exists @t16 @t20)) % 0.38/0.58 (assume @p6 @t22) % 0.38/0.58 (assume @p7 @t26) % 0.38/0.58 (assume @p8 true) % 0.38/0.58 (assume @p9 @t29) % 0.38/0.58 (assume @p10 (forall @t12 (=> (and @t10 @t9 @t30 @t7) (tptp.closed_subset @t4 @t1)))) % 0.38/0.58 (assume @p11 (exists @t16 @t9)) % 0.38/0.58 (assume @p12 (forall @t16 (exists @t14 (tptp.element @t2 @t1)))) % 0.38/0.58 (assume @p13 (forall @t12 (=> @t25 (tptp.element @t31 @t6)))) % 0.38/0.58 (assume @p14 (forall @t16 (=> @t9 @t20))) % 0.38/0.58 (assume @p15 (forall @t16 (=> @t15 (exists @t14 (and @t7 @t30))))) % 0.38/0.58 (assume @p16 (forall @t12 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.38/0.58 (assume @p17 @t35) % 0.38/0.58 (assume @p18 @t40) % 0.38/0.58 (step @p19 :rule evaluate :args ((= false true))) % 0.38/0.58 (step @p20 :rule aci_norm :args ((= (or @t45 @t5) (or @t44 @t43 @t42 @t41 @t5)))) % 0.38/0.58 (step @p21 :rule refl :args (@t5)) % 0.38/0.58 (step @p22 :rule aci_norm :args ((= (or @t44 (or @t43 (or @t42 @t41))) @t45))) % 0.38/0.58 (step @p23 :rule bool-and-de-morgan :args (@t8 @t7 true)) % 0.38/0.58 (step @p24 :rule refl :args (@t43)) % 0.38/0.58 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t43 (not (and @t8 @t7))))) % 0.38/0.58 (step @p26 :rule bool-and-de-morgan :args (@t9 @t8 (and @t7))) % 0.38/0.58 (step @p27 :rule trans :premises (@p26 @p25)) % 0.38/0.58 (step @p28 :rule refl :args (@t44)) % 0.38/0.58 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or @t44 (not (and @t9 @t8 @t7))))) % 0.38/0.58 (step @p30 :rule bool-and-de-morgan :args (@t10 @t9 (and @t8 @t7))) % 0.38/0.58 (step @p31 :rule trans :premises (@p30 @p29)) % 0.38/0.58 (step @p32 :rule trans :premises (@p31 @p22)) % 0.38/0.58 (step @p33 :rule nary_cong :premises (@p32 @p21) :args ((or (not @t11) @t5))) % 0.38/0.58 (step @p34 :rule trans :premises (@p33 @p20)) % 0.38/0.58 (step @p35 :rule bool-impl-elim :args (@t11 @t5)) % 0.38/0.58 (step @p36 :rule trans :premises (@p35 @p34)) % 0.38/0.58 (step @p37 :rule cong :premises (@p36) :args (@t13)) % 0.38/0.58 (step @p38 :rule eq_resolve :premises (@p1 @p37)) % 0.38/0.58 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t53 @t56))) % 0.38/0.58 (step @p40 :rule aci_norm :args ((= (or @t57 @t24) (or @t43 @t41 @t24)))) % 0.38/0.58 (step @p41 :rule refl :args (@t24)) % 0.38/0.58 (step @p42 :rule bool-and-de-morgan :args (@t9 @t7 true)) % 0.38/0.58 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t58 @t24))) % 0.38/0.58 (step @p44 :rule trans :premises (@p43 @p40)) % 0.38/0.58 (step @p45 :rule bool-impl-elim :args (@t25 @t24)) % 0.38/0.58 (step @p46 :rule trans :premises (@p45 @p44)) % 0.38/0.58 (step @p47 :rule cong :premises (@p46) :args (@t26)) % 0.38/0.58 (step @p48 :rule eq_resolve :premises (@p7 @p47)) % 0.38/0.58 (step @p49 :rule instantiate :premises (@p48) :args (@t59)) % 0.38/0.58 (step @p50 :rule bool-impl-elim :args (@t19 @t21)) % 0.38/0.58 (step @p51 :rule cong :premises (@p50) :args (@t22)) % 0.38/0.58 (step @p52 :rule eq_resolve :premises (@p6 @p51)) % 0.38/0.58 (step @p53 :rule instantiate :premises (@p52) :args ((@list @t54 @t52))) % 0.38/0.58 (step @p54 :rule aci_norm :args ((= @t61 @t49))) % 0.38/0.58 (step @p55 :rule cong :premises (@p54) :args (@t62)) % 0.38/0.58 (step @p56 :rule quant-merge-prenex :args ((= (forall @t16 @t64) @t62))) % 0.38/0.58 (step @p57 :rule alpha_equiv :args (@t65 (@list @t46) @t66)) % 0.38/0.58 (step @p58 :rule nary_cong :premises (@p28 @p24 @p57) :args (@t67)) % 0.38/0.58 (step @p59 :rule quant-miniscope-or :args ((= @t64 @t67))) % 0.38/0.58 (step @p60 :rule trans :premises (@p59 @p58)) % 0.38/0.58 (step @p61 :rule symm :premises (@p60)) % 0.38/0.58 (step @p62 :rule cong :premises (@p61) :args ((forall @t16 @t69))) % 0.38/0.58 (step @p63 :rule trans :premises (@p62 @p56)) % 0.38/0.58 (step @p64 :rule trans :premises (@p63 @p55)) % 0.38/0.58 (step @p65 :rule aci_norm :args ((= (or (or @t44 @t43) @t68) @t69))) % 0.38/0.58 (step @p66 :rule refl :args (@t68)) % 0.38/0.58 (step @p67 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 0.38/0.58 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t15) @t68))) % 0.38/0.58 (step @p69 :rule trans :premises (@p68 @p65)) % 0.38/0.58 (step @p70 :rule bool-impl-elim :args (@t15 @t68)) % 0.38/0.58 (step @p71 :rule trans :premises (@p70 @p69)) % 0.38/0.58 (step @p72 :rule cong :premises (@p71) :args ((forall @t16 (=> @t15 @t68)))) % 0.38/0.58 (step @p73 :rule trans :premises (@p72 @p64)) % 0.38/0.58 (step @p74 :rule bool-impl-elim :args (@t7 @t36)) % 0.38/0.58 (step @p75 :rule cong :premises (@p74) :args (@t37)) % 0.38/0.58 (step @p76 :rule refl :args (@t15)) % 0.38/0.58 (step @p77 :rule cong :premises (@p76 @p75) :args (@t38)) % 0.38/0.58 (step @p78 :rule cong :premises (@p77) :args (@t39)) % 0.38/0.58 (step @p79 :rule trans :premises (@p78 @p73)) % 0.38/0.58 (step @p80 :rule cong :premises (@p79) :args (@t40)) % 0.38/0.58 (step @p81 :rule eq_resolve :premises (@p18 @p80)) % 0.38/0.58 (step @p82 :rule skolemize :premises (@p81)) % 0.38/0.58 (step @p83 :rule bool-double-not-elim :args (@t71)) % 0.38/0.58 (step @p84 :rule refl :args (@t79)) % 0.38/0.58 (step @p85 :rule nary_cong :premises (@p84 @p83) :args ((or @t79 (not @t74)))) % 0.38/0.58 (step @p86 :rule cnf_or_neg :args (@t79 2)) % 0.38/0.58 (step @p87 :rule eq_resolve :premises (@p86 @p85)) % 0.38/0.58 (step @p88 :rule reordering :premises (@p87) :args ((or @t71 @t79))) % 0.38/0.58 (step @p89 :rule chain_m_resolution :premises (@p88 @p82) :args (@t71 @t80 @t81)) % 0.38/0.58 (step @p90 :rule cnf_or_pos :args (@t83)) % 0.38/0.58 (step @p91 :rule reordering :premises (@p90) :args ((or @t74 @t82 (not @t83)))) % 0.38/0.58 (step @p92 :rule chain_m_resolution :premises (@p91 @p89 @p53) :args (@t82 (@list false false) (@list @t71 @t83))) % 0.38/0.58 (step @p93 :rule bool-double-not-elim :args (@t75)) % 0.38/0.58 (step @p94 :rule nary_cong :premises (@p84 @p93) :args ((or @t79 (not @t76)))) % 0.38/0.58 (step @p95 :rule cnf_or_neg :args (@t79 1)) % 0.38/0.58 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.38/0.58 (step @p97 :rule reordering :premises (@p96) :args ((or @t75 @t79))) % 0.38/0.58 (step @p98 :rule chain_m_resolution :premises (@p97 @p82) :args (@t75 @t80 @t81)) % 0.38/0.58 (step @p99 :rule cnf_or_pos :args (@t86)) % 0.38/0.58 (step @p100 :rule reordering :premises (@p99) :args ((or @t76 @t84 @t85 (not @t86)))) % 0.38/0.58 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p92 @p49) :args (@t84 @t87 (@list @t75 @t82 @t86))) % 0.38/0.58 (step @p102 :rule aci_norm :args ((= (or @t88 @t27) (or @t44 @t43 @t41 @t27)))) % 0.38/0.58 (step @p103 :rule refl :args (@t27)) % 0.38/0.58 (step @p104 :rule aci_norm :args ((= (or @t44 @t57) @t88))) % 0.38/0.58 (step @p105 :rule nary_cong :premises (@p28 @p42) :args ((or @t44 @t58))) % 0.38/0.58 (step @p106 :rule bool-and-de-morgan :args (@t10 @t9 (and @t7))) % 0.38/0.58 (step @p107 :rule trans :premises (@p106 @p105)) % 0.38/0.58 (step @p108 :rule trans :premises (@p107 @p104)) % 0.38/0.58 (step @p109 :rule nary_cong :premises (@p108 @p103) :args ((or (not @t28) @t27))) % 0.38/0.58 (step @p110 :rule trans :premises (@p109 @p102)) % 0.38/0.58 (step @p111 :rule bool-impl-elim :args (@t28 @t27)) % 0.38/0.58 (step @p112 :rule trans :premises (@p111 @p110)) % 0.38/0.58 (step @p113 :rule cong :premises (@p112) :args (@t29)) % 0.38/0.58 (step @p114 :rule eq_resolve :premises (@p9 @p113)) % 0.38/0.58 (step @p115 :rule instantiate :premises (@p114) :args (@t59)) % 0.38/0.58 (step @p116 :rule bool-double-not-elim :args (@t77)) % 0.38/0.58 (step @p117 :rule nary_cong :premises (@p84 @p116) :args ((or @t79 (not @t78)))) % 0.38/0.58 (step @p118 :rule cnf_or_neg :args (@t79 0)) % 0.38/0.58 (step @p119 :rule eq_resolve :premises (@p118 @p117)) % 0.38/0.58 (step @p120 :rule reordering :premises (@p119) :args ((or @t77 @t79))) % 0.38/0.58 (step @p121 :rule chain_m_resolution :premises (@p120 @p82) :args (@t77 @t80 @t81)) % 0.38/0.58 (step @p122 :rule cnf_or_pos :args (@t90)) % 0.38/0.58 (step @p123 :rule reordering :premises (@p122) :args ((or @t78 @t76 @t89 @t85 (not @t90)))) % 0.38/0.58 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p98 @p92 @p115) :args (@t89 (@list false false false false) (@list @t77 @t75 @t82 @t90))) % 0.38/0.59 (step @p125 :rule cnf_or_pos :args (@t95)) % 0.38/0.59 (step @p126 :rule reordering :premises (@p125) :args ((or @t78 @t76 @t94 @t93 @t92 (not @t95)))) % 0.38/0.59 (step @p127 :rule chain_m_resolution :premises (@p126 @p121 @p98 @p124 @p101 @p39) :args (@t92 (@list false false false false false) (@list @t77 @t75 @t89 @t84 @t95))) % 0.38/0.59 (step @p128 :rule true_intro :premises (@p127)) % 0.38/0.59 (step @p129 :rule refl :args (@t53)) % 0.38/0.59 (step @p130 :rule aci_norm :args ((= @t100 (or @t43 @t98 @t97)))) % 0.38/0.59 (step @p131 :rule cong :premises (@p130) :args (@t101)) % 0.38/0.59 (step @p132 :rule quant-merge-prenex :args ((= (forall @t16 @t103) @t101))) % 0.38/0.59 (step @p133 :rule alpha_equiv :args (@t104 (@list @t96) @t66)) % 0.38/0.59 (step @p134 :rule nary_cong :premises (@p24 @p133) :args (@t105)) % 0.38/0.59 (step @p135 :rule quant-miniscope-or :args ((= @t103 @t105))) % 0.38/0.59 (step @p136 :rule trans :premises (@p135 @p134)) % 0.38/0.59 (step @p137 :rule symm :premises (@p136)) % 0.38/0.59 (step @p138 :rule cong :premises (@p137) :args ((forall @t16 (or @t43 @t106)))) % 0.38/0.59 (step @p139 :rule trans :premises (@p138 @p132)) % 0.38/0.59 (step @p140 :rule trans :premises (@p139 @p131)) % 0.38/0.59 (step @p141 :rule bool-impl-elim :args (@t9 @t106)) % 0.38/0.59 (step @p142 :rule cong :premises (@p141) :args ((forall @t16 (=> @t9 @t106)))) % 0.38/0.59 (step @p143 :rule trans :premises (@p142 @p140)) % 0.38/0.59 (step @p144 :rule bool-impl-elim :args (@t7 @t32)) % 0.38/0.59 (step @p145 :rule cong :premises (@p144) :args (@t33)) % 0.38/0.59 (step @p146 :rule refl :args (@t9)) % 0.38/0.59 (step @p147 :rule cong :premises (@p146 @p145) :args (@t34)) % 0.38/0.59 (step @p148 :rule cong :premises (@p147) :args (@t35)) % 0.38/0.59 (step @p149 :rule trans :premises (@p148 @p143)) % 0.38/0.59 (step @p150 :rule eq_resolve :premises (@p17 @p149)) % 0.38/0.59 (step @p151 :rule instantiate :premises (@p150) :args ((@list @t53 @t52))) % 0.38/0.59 (step @p152 :rule cnf_or_pos :args (@t108)) % 0.38/0.59 (step @p153 :rule reordering :premises (@p152) :args ((or @t76 @t74 @t107 (not @t108)))) % 0.38/0.59 (step @p154 :rule chain_m_resolution :premises (@p153 @p98 @p89 @p151) :args (@t107 @t87 (@list @t75 @t71 @t108))) % 0.38/0.59 (step @p155 :rule cong :premises (@p154 @p129) :args (@t73)) % 0.38/0.59 (step @p156 :rule cnf_or_neg :args (@t79 3)) % 0.38/0.59 (step @p157 :rule chain_m_resolution :premises (@p156 @p82) :args ((not @t73) @t80 @t81)) % 0.38/0.59 (step @p158 :rule false_intro :premises (@p157)) % 0.38/0.59 (step @p159 :rule symm :premises (@p158)) % 0.38/0.59 (step @p160 :rule trans :premises (@p159 @p155 @p128)) % 0.38/0.59 (step @p161 false :rule eq_resolve :premises (@p160 @p19)) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------