%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU295+3 : 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 : n011.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 08:51:17 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU295+3 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n011.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:53:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ordinal_yielding (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.function_yielding (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.transfinite_sequence (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.being_limit_ordinal (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.finite (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.function (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.positive_rationals $$unsorted) % 0.38/0.57 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.empty_set $$unsorted) % 0.38/0.57 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t3 () (tptp.in @t1 @t2)) % 0.38/0.57 (define @t4 () (@list @t1 @t2)) % 0.38/0.57 (define @t5 () (tptp.ordinal @t2)) % 0.38/0.57 (define @t6 () (tptp.epsilon_connected @t2)) % 0.38/0.57 (define @t7 () (tptp.epsilon_transitive @t2)) % 0.38/0.57 (define @t8 () (tptp.element @t2 @t1)) % 0.38/0.57 (define @t9 () (@list @t2)) % 0.38/0.57 (define @t10 () (tptp.ordinal @t1)) % 0.38/0.57 (define @t11 () (@list @t1)) % 0.38/0.57 (define @t12 () (tptp.finite @t1)) % 0.38/0.57 (define @t13 () (tptp.empty @t1)) % 0.38/0.57 (define @t14 () (tptp.function @t1)) % 0.38/0.57 (define @t15 () (tptp.epsilon_connected @t1)) % 0.38/0.57 (define @t16 () (tptp.epsilon_transitive @t1)) % 0.38/0.57 (define @t17 () (and @t16 @t15)) % 0.38/0.57 (define @t18 () (tptp.relation @t1)) % 0.38/0.57 (define @t19 () (tptp.natural @t1)) % 0.38/0.57 (define @t20 () (and @t16 @t15 @t10 @t19)) % 0.38/0.57 (define @t21 () (tptp.finite @t2)) % 0.38/0.57 (define @t22 () (tptp.powerset @t1)) % 0.38/0.57 (define @t23 () (tptp.element @t2 @t22)) % 0.38/0.57 (define @t24 () (tptp.one_to_one @t1)) % 0.38/0.57 (define @t25 () (and @t18 @t14 @t24)) % 0.38/0.57 (define @t26 () (and @t18 @t13 @t14)) % 0.38/0.57 (define @t27 () (and @t16 @t15 @t10)) % 0.38/0.57 (define @t28 () (tptp.element @t1 tptp.positive_rationals)) % 0.38/0.57 (define @t29 () (tptp.set_intersection2 @t1 @t2)) % 0.38/0.57 (define @t30 () (tptp.finite @t29)) % 0.38/0.57 (define @t31 () (forall @t4 (=> @t12 @t30))) % 0.38/0.57 (define @t32 () (tptp.relation_empty_yielding tptp.empty_set)) % 0.38/0.57 (define @t33 () (tptp.relation tptp.empty_set)) % 0.38/0.57 (define @t34 () (tptp.empty tptp.empty_set)) % 0.38/0.57 (define @t35 () (tptp.relation @t2)) % 0.38/0.57 (define @t36 () (not @t13)) % 0.38/0.57 (define @t37 () (tptp.empty @t2)) % 0.38/0.57 (define @t38 () (not @t37)) % 0.38/0.57 (define @t39 () (tptp.transfinite_sequence @t1)) % 0.38/0.57 (define @t40 () (tptp.relation_empty_yielding @t1)) % 0.38/0.57 (define @t41 () (tptp.subset @t1 @t2)) % 0.38/0.57 (define @t42 () (not @t31)) % 0.38/0.57 (define @t43 () (tptp.element @t1 @t2)) % 0.38/0.57 (define @t44 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t45 () (tptp.element @t2 (tptp.powerset @t44))) % 0.38/0.57 (define @t46 () (@list @t1 @t2 @t44)) % 0.38/0.57 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.38/0.57 (assume @p2 (forall @t11 (=> @t10 (forall @t9 (=> @t8 (and @t7 @t6 @t5)))))) % 0.38/0.57 (assume @p3 (forall @t11 (=> @t13 @t12))) % 0.38/0.57 (assume @p4 (forall @t11 (=> @t13 @t14))) % 0.38/0.57 (assume @p5 (forall @t11 (=> @t10 @t17))) % 0.38/0.57 (assume @p6 (forall @t11 (=> @t13 @t18))) % 0.38/0.57 (assume @p7 (forall @t11 (=> (and @t13 @t10) @t20))) % 0.38/0.57 (assume @p8 (forall @t11 (=> @t12 (forall @t9 (=> @t23 @t21))))) % 0.38/0.57 (assume @p9 (forall @t11 (=> @t26 @t25))) % 0.38/0.57 (assume @p10 (forall @t11 (=> @t17 @t10))) % 0.38/0.57 (assume @p11 (forall @t11 (=> @t13 @t27))) % 0.38/0.57 (assume @p12 (forall @t11 (=> @t28 (=> @t10 @t20)))) % 0.38/0.57 (assume @p13 (forall @t4 (= @t29 (tptp.set_intersection2 @t2 @t1)))) % 0.38/0.57 (assume @p14 (forall @t11 (exists @t9 @t8))) % 0.38/0.57 (assume @p15 (forall @t4 (=> @t21 @t30))) % 0.38/0.57 (assume @p16 @t31) % 0.38/0.57 (assume @p17 (and @t34 @t33 @t32)) % 0.38/0.57 (assume @p18 (forall @t4 (=> (and @t18 @t35) (tptp.relation @t29)))) % 0.38/0.57 (assume @p19 (forall @t11 (not (tptp.empty @t22)))) % 0.38/0.57 (assume @p20 @t34) % 0.38/0.57 (assume @p21 (and @t33 @t32 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) @t34 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set))) % 0.38/0.57 (assume @p22 (and @t34 @t33)) % 0.38/0.57 (assume @p23 (not (tptp.empty tptp.positive_rationals))) % 0.38/0.57 (assume @p24 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.38/0.57 (assume @p25 (exists @t11 (and @t36 @t16 @t15 @t10 @t19))) % 0.38/0.57 (assume @p26 (exists @t11 (and @t36 @t12))) % 0.38/0.57 (assume @p27 (exists @t11 (and @t18 @t14 (tptp.function_yielding @t1)))) % 0.38/0.57 (assume @p28 (exists @t11 (and @t18 @t14))) % 0.38/0.57 (assume @p29 (exists @t11 @t27)) % 0.38/0.57 (assume @p30 (exists @t11 (and @t16 @t15 @t10 (tptp.being_limit_ordinal @t1)))) % 0.38/0.57 (assume @p31 (exists @t11 (and @t13 @t18))) % 0.38/0.57 (assume @p32 (forall @t11 (=> @t36 (exists @t9 (and @t23 @t38))))) % 0.38/0.57 (assume @p33 (exists @t11 @t13)) % 0.38/0.57 (assume @p34 (exists @t11 (and @t28 @t36 @t16 @t15 @t10))) % 0.38/0.57 (assume @p35 (forall @t11 (exists @t9 (and @t23 @t37 @t35 (tptp.function @t2) (tptp.one_to_one @t2) @t7 @t6 @t5 (tptp.natural @t2) @t21)))) % 0.38/0.57 (assume @p36 (exists @t11 @t26)) % 0.38/0.57 (assume @p37 (exists @t11 (and @t18 @t14 @t24 @t13 @t16 @t15 @t10))) % 0.38/0.57 (assume @p38 (exists @t11 (and @t18 @t14 @t39 (tptp.ordinal_yielding @t1)))) % 0.38/0.57 (assume @p39 (exists @t11 (and @t36 @t18))) % 0.38/0.57 (assume @p40 (forall @t11 (exists @t9 (and @t23 @t37)))) % 0.38/0.57 (assume @p41 (exists @t11 @t36)) % 0.38/0.57 (assume @p42 (exists @t11 (and @t28 @t13 @t16 @t15 @t10 @t19))) % 0.38/0.57 (assume @p43 (forall @t11 (=> @t36 (exists @t9 (and @t23 @t38 @t21))))) % 0.38/0.57 (assume @p44 (exists @t11 @t25)) % 0.38/0.57 (assume @p45 (exists @t11 (and @t36 @t16 @t15 @t10))) % 0.38/0.57 (assume @p46 (exists @t11 (and @t18 @t40))) % 0.38/0.57 (assume @p47 (exists @t11 (and @t18 @t40 @t14))) % 0.38/0.57 (assume @p48 (exists @t11 (and @t18 @t14 @t39))) % 0.38/0.57 (assume @p49 (exists @t11 (and @t18 (tptp.relation_non_empty @t1) @t14))) % 0.38/0.57 (assume @p50 (forall @t4 (tptp.subset @t1 @t1))) % 0.38/0.57 (assume @p51 (forall @t4 (=> (and @t41 @t21) @t12))) % 0.38/0.57 (assume @p52 @t42) % 0.38/0.57 (assume @p53 (forall @t4 (tptp.subset @t29 @t1))) % 0.38/0.57 (assume @p54 (forall @t4 (=> @t3 @t43))) % 0.38/0.57 (assume @p55 (forall @t11 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.38/0.57 (assume @p56 (forall @t4 (=> @t43 (or @t37 @t3)))) % 0.38/0.57 (assume @p57 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) @t41))) % 0.38/0.57 (assume @p58 (forall @t46 (=> (and @t3 @t45) (tptp.element @t1 @t44)))) % 0.38/0.57 (assume @p59 (forall @t46 (not (and @t3 @t45 (tptp.empty @t44))))) % 0.38/0.57 (assume @p60 (forall @t11 (=> @t13 (= @t1 tptp.empty_set)))) % 0.38/0.57 (assume @p61 (forall @t4 (not (and @t3 @t37)))) % 0.38/0.57 (assume @p62 (forall @t4 (not (and @t13 (not (= @t1 @t2)) @t37)))) % 0.38/0.57 (assume @p63 true) % 0.38/0.57 (step @p64 :rule bool-impl-elim :args (@t12 @t30)) % 0.38/0.57 (step @p65 :rule cong :premises (@p64) :args (@t31)) % 0.38/0.57 (step @p66 :rule eq_resolve :premises (@p16 @p65)) % 0.38/0.57 (step @p67 :rule cong :premises (@p65) :args (@t42)) % 0.38/0.57 (step @p68 :rule eq_resolve :premises (@p52 @p67)) % 0.38/0.57 (step @p69 false :rule chain_m_resolution :premises (@p68 @p66) :args (false (@list false) (@list (forall @t4 (or (not @t12) @t30))))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------