%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU306+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 : n006.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 08:51:19 AM UTC 2026 % Result : Theorem 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU306+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 % 0.17/0.34 % Computer : n006.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 16:55:04 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Theorem % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.cast_as_carrier_subset (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.empty_set $$unsorted) % 0.31/0.55 (declare-const tptp.v1_int_1 (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v4_membered (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v5_membered (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v3_membered (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v1_xreal_0 (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.one_sorted_str (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v1_rat_1 (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v2_membered (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.the_carrier (-> $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.v1_membered (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.natural (-> $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v1_xcmplx_0 (-> $$unsorted Bool)) % 0.31/0.55 (define @t1 () (@var "A" $$unsorted)) % 0.31/0.55 (define @t2 () (@var "B" $$unsorted)) % 0.31/0.55 (define @t3 () (tptp.in @t1 @t2)) % 0.31/0.55 (define @t4 () (@list @t1 @t2)) % 0.31/0.55 (define @t5 () (tptp.v4_membered @t1)) % 0.31/0.55 (define @t6 () (tptp.v5_membered @t1)) % 0.31/0.55 (define @t7 () (@list @t1)) % 0.31/0.55 (define @t8 () (tptp.v3_membered @t1)) % 0.31/0.55 (define @t9 () (tptp.v2_membered @t1)) % 0.31/0.55 (define @t10 () (tptp.v1_membered @t1)) % 0.31/0.55 (define @t11 () (tptp.empty @t1)) % 0.31/0.55 (define @t12 () (not @t11)) % 0.31/0.55 (define @t13 () (tptp.v1_xcmplx_0 @t2)) % 0.31/0.55 (define @t14 () (tptp.element @t2 @t1)) % 0.31/0.55 (define @t15 () (@list @t2)) % 0.31/0.55 (define @t16 () (tptp.v1_xreal_0 @t2)) % 0.31/0.55 (define @t17 () (tptp.v1_rat_1 @t2)) % 0.31/0.55 (define @t18 () (tptp.v1_int_1 @t2)) % 0.31/0.55 (define @t19 () (tptp.v1_membered @t2)) % 0.31/0.55 (define @t20 () (tptp.powerset @t1)) % 0.31/0.55 (define @t21 () (tptp.element @t2 @t20)) % 0.31/0.55 (define @t22 () (tptp.v2_membered @t2)) % 0.31/0.55 (define @t23 () (tptp.v3_membered @t2)) % 0.31/0.55 (define @t24 () (tptp.v4_membered @t2)) % 0.31/0.55 (define @t25 () (tptp.element @t1 @t2)) % 0.31/0.55 (define @t26 () (@var "C" $$unsorted)) % 0.31/0.55 (define @t27 () (tptp.element @t2 (tptp.powerset @t26))) % 0.31/0.55 (define @t28 () (@list @t1 @t2 @t26)) % 0.31/0.55 (define @t29 () (tptp.empty @t2)) % 0.31/0.55 (define @t30 () (tptp.one_sorted_str @t1)) % 0.31/0.55 (define @t31 () (tptp.the_carrier @t1)) % 0.31/0.55 (define @t32 () (tptp.cast_as_carrier_subset @t1)) % 0.31/0.55 (define @t33 () (= @t32 @t31)) % 0.31/0.55 (define @t34 () (forall @t7 (=> @t30 @t33))) % 0.31/0.55 (define @t35 () (not @t34)) % 0.31/0.55 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.31/0.55 (assume @p2 true) % 0.31/0.55 (assume @p3 (forall @t7 (=> @t6 @t5))) % 0.31/0.55 (assume @p4 (forall @t7 (=> @t5 @t8))) % 0.31/0.55 (assume @p5 (forall @t7 (=> @t8 @t9))) % 0.31/0.55 (assume @p6 (forall @t7 (=> @t9 @t10))) % 0.31/0.55 (assume @p7 (exists @t7 (and @t12 @t10 @t9 @t8 @t5 @t6))) % 0.31/0.55 (assume @p8 (forall @t7 (=> @t10 (forall @t15 (=> @t14 @t13))))) % 0.31/0.55 (assume @p9 (forall @t7 (=> @t9 (forall @t15 (=> @t14 (and @t13 @t16)))))) % 0.31/0.55 (assume @p10 (forall @t7 (=> @t8 (forall @t15 (=> @t14 (and @t13 @t16 @t17)))))) % 0.31/0.55 (assume @p11 (forall @t7 (=> @t5 (forall @t15 (=> @t14 (and @t13 @t16 @t18 @t17)))))) % 0.31/0.55 (assume @p12 (forall @t7 (=> @t6 (forall @t15 (=> @t14 (and @t13 (tptp.natural @t2) @t16 @t18 @t17)))))) % 0.31/0.55 (assume @p13 (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))) % 0.31/0.55 (assume @p14 (forall @t7 (=> @t10 (forall @t15 (=> @t21 @t19))))) % 0.31/0.55 (assume @p15 (forall @t7 (=> @t9 (forall @t15 (=> @t21 (and @t19 @t22)))))) % 0.31/0.55 (assume @p16 (forall @t7 (=> @t8 (forall @t15 (=> @t21 (and @t19 @t22 @t23)))))) % 0.31/0.55 (assume @p17 (forall @t7 (=> @t5 (forall @t15 (=> @t21 (and @t19 @t22 @t23 @t24)))))) % 0.31/0.55 (assume @p18 (forall @t7 (=> @t6 (forall @t15 (=> @t21 (and @t19 @t22 @t23 @t24 (tptp.v5_membered @t2))))))) % 0.31/0.55 (assume @p19 (forall @t4 (=> @t3 @t25))) % 0.31/0.55 (assume @p20 (forall @t28 (=> (and @t3 @t27) (tptp.element @t1 @t26)))) % 0.31/0.55 (assume @p21 (forall @t28 (not (and @t3 @t27 (tptp.empty @t26))))) % 0.31/0.55 (assume @p22 (forall @t4 (tptp.subset @t1 @t1))) % 0.31/0.56 (assume @p23 (forall @t7 (=> @t12 (exists @t15 (and @t21 (not @t29)))))) % 0.31/0.56 (assume @p24 (forall @t7 (exists @t15 (and @t21 @t29)))) % 0.31/0.56 (assume @p25 (forall @t7 (=> @t11 (and @t10 @t9 @t8 @t5 @t6)))) % 0.31/0.56 (assume @p26 (forall @t4 (=> @t25 (or @t29 @t3)))) % 0.31/0.56 (assume @p27 (forall @t7 (=> @t11 (= @t1 tptp.empty_set)))) % 0.31/0.56 (assume @p28 (forall @t4 (not (and @t3 @t29)))) % 0.31/0.56 (assume @p29 (forall @t4 (not (and @t11 (not (= @t1 @t2)) @t29)))) % 0.31/0.56 (assume @p30 (forall @t7 (exists @t15 @t14))) % 0.31/0.56 (assume @p31 (forall @t7 (not (tptp.empty @t20)))) % 0.31/0.56 (assume @p32 (forall @t4 (= (tptp.element @t1 (tptp.powerset @t2)) (tptp.subset @t1 @t2)))) % 0.31/0.56 (assume @p33 (exists @t7 @t30)) % 0.31/0.56 (assume @p34 (forall @t7 (=> @t30 (tptp.element @t32 (tptp.powerset @t31))))) % 0.31/0.56 (assume @p35 @t34) % 0.31/0.56 (assume @p36 @t35) % 0.31/0.56 (step @p37 :rule bool-impl-elim :args (@t30 @t33)) % 0.31/0.56 (step @p38 :rule cong :premises (@p37) :args (@t34)) % 0.31/0.56 (step @p39 :rule eq_resolve :premises (@p35 @p38)) % 0.31/0.56 (step @p40 :rule cong :premises (@p38) :args (@t35)) % 0.31/0.56 (step @p41 :rule eq_resolve :premises (@p36 @p40)) % 0.31/0.56 (step @p42 false :rule chain_m_resolution :premises (@p41 @p39) :args (false (@list false) (@list (forall @t7 (or (not @t30) @t33))))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------