%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU083+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 08:50:32 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 : SEU083+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n007.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:27:11 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.51 %----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 $$unsorted 0) % 0.38/0.58 (declare-const tptp.transfinite_sequence (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.positive_rationals $$unsorted) % 0.38/0.58 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.ordinal_yielding (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.empty_set $$unsorted) % 0.38/0.58 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.function_yielding (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t3 () (@list @t1 @t2)) % 0.38/0.58 (define @t4 () (tptp.in @t1 @t2)) % 0.38/0.58 (define @t5 () (tptp.relation tptp.empty_set)) % 0.38/0.58 (define @t6 () (tptp.empty tptp.empty_set)) % 0.38/0.58 (define @t7 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.38/0.58 (define @t8 () (@list @t1)) % 0.38/0.58 (define @t9 () (tptp.element @t1 @t2)) % 0.38/0.58 (define @t10 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t11 () (tptp.element @t2 (tptp.powerset @t10))) % 0.38/0.58 (define @t12 () (@list @t1 @t2 @t10)) % 0.38/0.58 (define @t13 () (tptp.element @t2 @t1)) % 0.38/0.58 (define @t14 () (@list @t2)) % 0.38/0.58 (define @t15 () (tptp.finite @t1)) % 0.38/0.58 (define @t16 () (tptp.empty @t1)) % 0.38/0.58 (define @t17 () (tptp.finite @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.function @t1)) % 0.38/0.58 (define @t21 () (tptp.one_to_one @t1)) % 0.38/0.58 (define @t22 () (tptp.relation @t1)) % 0.38/0.58 (define @t23 () (and @t22 @t20 @t21)) % 0.38/0.58 (define @t24 () (and @t22 @t16 @t20)) % 0.38/0.58 (define @t25 () (tptp.set_union2 @t1 @t2)) % 0.38/0.58 (define @t26 () (tptp.relation @t2)) % 0.38/0.58 (define @t27 () (tptp.ordinal @t2)) % 0.38/0.58 (define @t28 () (tptp.epsilon_connected @t2)) % 0.38/0.58 (define @t29 () (tptp.epsilon_transitive @t2)) % 0.38/0.58 (define @t30 () (tptp.ordinal @t1)) % 0.38/0.58 (define @t31 () (tptp.natural @t1)) % 0.38/0.58 (define @t32 () (tptp.epsilon_connected @t1)) % 0.38/0.58 (define @t33 () (tptp.epsilon_transitive @t1)) % 0.38/0.58 (define @t34 () (and @t33 @t32 @t30 @t31)) % 0.38/0.58 (define @t35 () (tptp.element @t1 tptp.positive_rationals)) % 0.38/0.58 (define @t36 () (and @t33 @t32)) % 0.38/0.58 (define @t37 () (and @t33 @t32 @t30)) % 0.38/0.58 (define @t38 () (not @t16)) % 0.38/0.58 (define @t39 () (tptp.set_union2 @t2 @t1)) % 0.38/0.58 (define @t40 () (tptp.empty @t2)) % 0.38/0.58 (define @t41 () (tptp.finite @t25)) % 0.38/0.58 (define @t42 () (and @t15 @t17)) % 0.38/0.58 (define @t43 () (forall @t3 (=> @t42 @t41))) % 0.38/0.58 (define @t44 () (not @t40)) % 0.38/0.58 (define @t45 () (tptp.relation_empty_yielding @t1)) % 0.38/0.58 (define @t46 () (tptp.transfinite_sequence @t1)) % 0.38/0.58 (define @t47 () (not @t43)) % 0.38/0.58 (define @t48 () (not @t17)) % 0.38/0.58 (define @t49 () (not @t15)) % 0.38/0.58 (define @t50 () (or @t49 @t48 @t41)) % 0.38/0.58 (assume @p1 (forall @t3 (tptp.subset @t1 @t1))) % 0.38/0.58 (assume @p2 (forall @t3 (=> @t4 (not (tptp.in @t2 @t1))))) % 0.38/0.58 (assume @p3 (and @t6 @t5)) % 0.38/0.58 (assume @p4 (and @t6 @t5 @t7)) % 0.38/0.58 (assume @p5 (and @t5 @t7 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t6 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.38/0.58 (assume @p6 @t6) % 0.38/0.58 (assume @p7 (forall @t8 (= (tptp.set_union2 @t1 tptp.empty_set) @t1))) % 0.38/0.58 (assume @p8 (forall @t3 (=> @t4 @t9))) % 0.38/0.58 (assume @p9 (forall @t12 (=> (and @t4 @t11) (tptp.element @t1 @t10)))) % 0.38/0.58 (assume @p10 (forall @t12 (not (and @t4 @t11 (tptp.empty @t10))))) % 0.38/0.58 (assume @p11 (forall @t8 (exists @t14 @t13))) % 0.38/0.58 (assume @p12 (forall @t8 (=> @t16 @t15))) % 0.38/0.59 (assume @p13 (forall @t8 (=> @t15 (forall @t14 (=> @t19 @t17))))) % 0.38/0.59 (assume @p14 (forall @t8 (=> @t16 @t20))) % 0.38/0.59 (assume @p15 (forall @t8 (=> @t24 @t23))) % 0.38/0.59 (assume @p16 (forall @t3 (=> (and @t22 @t26) (tptp.relation @t25)))) % 0.38/0.59 (assume @p17 (forall @t8 (=> @t16 @t22))) % 0.38/0.59 (assume @p18 (not (tptp.empty tptp.positive_rationals))) % 0.38/0.59 (assume @p19 (forall @t8 (=> @t30 (forall @t14 (=> @t13 (and @t29 @t28 @t27)))))) % 0.38/0.59 (assume @p20 (forall @t8 (=> (and @t16 @t30) @t34))) % 0.38/0.59 (assume @p21 (forall @t8 (=> @t35 (=> @t30 @t34)))) % 0.38/0.59 (assume @p22 (forall @t8 (=> @t30 @t36))) % 0.38/0.59 (assume @p23 (forall @t8 (=> @t36 @t30))) % 0.38/0.59 (assume @p24 (forall @t8 (=> @t16 @t37))) % 0.38/0.59 (assume @p25 (forall @t8 (not (tptp.empty @t18)))) % 0.38/0.59 (assume @p26 (forall @t3 (=> @t38 (not (tptp.empty @t25))))) % 0.38/0.59 (assume @p27 (forall @t3 (=> @t38 (not (tptp.empty @t39))))) % 0.38/0.59 (assume @p28 (forall @t3 (=> @t9 (or @t40 @t4)))) % 0.38/0.59 (assume @p29 (forall @t3 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.38/0.59 (assume @p30 (forall @t8 (=> @t16 (= @t1 tptp.empty_set)))) % 0.38/0.59 (assume @p31 (forall @t3 (not (and @t4 @t40)))) % 0.38/0.59 (assume @p32 (forall @t3 (not (and @t16 (not (= @t1 @t2)) @t40)))) % 0.38/0.59 (assume @p33 (forall @t3 (= @t25 @t39))) % 0.38/0.59 (assume @p34 (forall @t3 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.38/0.59 (assume @p35 @t43) % 0.38/0.59 (assume @p36 (exists @t8 (and @t38 @t15))) % 0.38/0.59 (assume @p37 (forall @t8 (exists @t14 (and @t19 @t40 @t26 (tptp.function @t2) (tptp.one_to_one @t2) @t29 @t28 @t27 (tptp.natural @t2) @t17)))) % 0.38/0.59 (assume @p38 (forall @t8 (=> @t38 (exists @t14 (and @t19 @t44 @t17))))) % 0.38/0.59 (assume @p39 (exists @t8 (and @t22 @t20))) % 0.38/0.59 (assume @p40 (exists @t8 @t24)) % 0.38/0.59 (assume @p41 (exists @t8 @t23)) % 0.38/0.59 (assume @p42 (exists @t8 (and @t22 @t45 @t20))) % 0.38/0.59 (assume @p43 (exists @t8 (and @t22 (tptp.relation_non_empty @t1) @t20))) % 0.38/0.59 (assume @p44 (exists @t8 (and @t33 @t32 @t30 (tptp.being_limit_ordinal @t1)))) % 0.38/0.59 (assume @p45 (exists @t8 (and @t22 @t20 @t46 (tptp.ordinal_yielding @t1)))) % 0.38/0.59 (assume @p46 (exists @t8 (and @t16 @t22))) % 0.38/0.59 (assume @p47 (exists @t8 (and @t38 @t22))) % 0.38/0.59 (assume @p48 (exists @t8 (and @t22 @t45))) % 0.38/0.59 (assume @p49 (exists @t8 (and @t38 @t33 @t32 @t30 @t31))) % 0.38/0.59 (assume @p50 (exists @t8 (and @t35 @t38 @t33 @t32 @t30))) % 0.38/0.59 (assume @p51 (exists @t8 (and @t35 @t16 @t33 @t32 @t30 @t31))) % 0.38/0.59 (assume @p52 (exists @t8 @t37)) % 0.38/0.59 (assume @p53 (exists @t8 (and @t22 @t20 @t21 @t16 @t33 @t32 @t30))) % 0.38/0.59 (assume @p54 (exists @t8 (and @t38 @t33 @t32 @t30))) % 0.38/0.59 (assume @p55 (exists @t8 (and @t22 @t20 @t46))) % 0.38/0.59 (assume @p56 (forall @t8 (=> @t38 (exists @t14 (and @t19 @t44))))) % 0.38/0.59 (assume @p57 (forall @t8 (exists @t14 (and @t19 @t40)))) % 0.38/0.59 (assume @p58 (exists @t8 @t16)) % 0.38/0.59 (assume @p59 (exists @t8 @t38)) % 0.38/0.59 (assume @p60 (exists @t8 (and @t22 @t20 (tptp.function_yielding @t1)))) % 0.38/0.59 (assume @p61 @t47) % 0.38/0.59 (assume @p62 true) % 0.38/0.59 (step @p63 :rule aci_norm :args ((= (or (or @t49 @t48) @t41) @t50))) % 0.38/0.59 (step @p64 :rule refl :args (@t41)) % 0.38/0.59 (step @p65 :rule bool-and-de-morgan :args (@t15 @t17 true)) % 0.38/0.59 (step @p66 :rule nary_cong :premises (@p65 @p64) :args ((or (not @t42) @t41))) % 0.38/0.59 (step @p67 :rule trans :premises (@p66 @p63)) % 0.38/0.59 (step @p68 :rule bool-impl-elim :args (@t42 @t41)) % 0.38/0.59 (step @p69 :rule trans :premises (@p68 @p67)) % 0.38/0.59 (step @p70 :rule cong :premises (@p69) :args (@t43)) % 0.38/0.59 (step @p71 :rule eq_resolve :premises (@p35 @p70)) % 0.38/0.59 (step @p72 :rule cong :premises (@p70) :args (@t47)) % 0.38/0.59 (step @p73 :rule eq_resolve :premises (@p61 @p72)) % 0.38/0.59 (step @p74 false :rule chain_m_resolution :premises (@p73 @p71) :args (false (@list false) (@list (forall @t3 @t50)))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------