%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : NUM395+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 : n020.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 08:39:18 AM UTC 2026 % Result : Theorem 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM395+1 : 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 : n020.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 11:16:25 EDT 2026 % 0.15/0.34 % CPUTime : % 0.28/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Theorem % 0.39/0.56 % SZS output start Proof % 0.39/0.56 ( % 0.39/0.56 (declare-sort $$unsorted 0) % 0.39/0.56 (declare-const tptp.empty_set $$unsorted) % 0.39/0.56 (declare-const tptp.relation_empty_yielding (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.ordinal (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.relation_non_empty (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.one_to_one (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.function (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.epsilon_transitive (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.epsilon_connected (-> $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.39/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.39/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.39/0.56 (define @t3 () (@list @t1)) % 0.39/0.56 (define @t4 () (tptp.in @t1 @t2)) % 0.39/0.56 (define @t5 () (tptp.empty @t2)) % 0.39/0.56 (define @t6 () (tptp.element @t1 @t2)) % 0.39/0.56 (define @t7 () (@list @t1 @t2)) % 0.39/0.56 (define @t8 () (tptp.function @t1)) % 0.39/0.56 (define @t9 () (tptp.empty @t1)) % 0.39/0.56 (define @t10 () (tptp.relation @t1)) % 0.39/0.56 (define @t11 () (and @t10 @t8 (tptp.one_to_one @t1))) % 0.39/0.56 (define @t12 () (and @t10 @t9 @t8)) % 0.39/0.56 (define @t13 () (tptp.epsilon_connected @t1)) % 0.39/0.56 (define @t14 () (tptp.epsilon_transitive @t1)) % 0.39/0.56 (define @t15 () (and @t14 @t13)) % 0.39/0.56 (define @t16 () (tptp.ordinal @t1)) % 0.39/0.56 (define @t17 () (forall @t3 (=> @t15 @t16))) % 0.39/0.56 (define @t18 () (tptp.relation_empty_yielding @t1)) % 0.39/0.56 (define @t19 () (tptp.relation tptp.empty_set)) % 0.39/0.56 (define @t20 () (tptp.empty tptp.empty_set)) % 0.39/0.56 (define @t21 () (not @t9)) % 0.39/0.56 (define @t22 () (tptp.ordinal tptp.empty_set)) % 0.39/0.56 (define @t23 () (tptp.epsilon_connected tptp.empty_set)) % 0.39/0.56 (define @t24 () (tptp.epsilon_transitive tptp.empty_set)) % 0.39/0.56 (define @t25 () (not @t13)) % 0.39/0.56 (define @t26 () (not @t14)) % 0.39/0.56 (define @t27 () (or @t26 @t25 @t16)) % 0.39/0.56 (define @t28 () (not @t23)) % 0.39/0.56 (define @t29 () (not @t24)) % 0.39/0.56 (define @t30 () (or @t29 @t28 @t22)) % 0.39/0.56 (define @t31 () (not @t30)) % 0.39/0.56 (define @t32 () (forall @t3 @t27)) % 0.39/0.56 (assume @p1 (forall @t3 (exists (@list @t2) (tptp.element @t2 @t1)))) % 0.39/0.56 (assume @p2 (forall @t7 (=> @t6 (or @t5 @t4)))) % 0.39/0.56 (assume @p3 (forall @t7 (=> @t4 (not (tptp.in @t2 @t1))))) % 0.39/0.56 (assume @p4 (forall @t7 (=> @t4 @t6))) % 0.39/0.56 (assume @p5 (forall @t3 (=> @t9 @t8))) % 0.39/0.56 (assume @p6 (forall @t3 (=> @t12 @t11))) % 0.39/0.56 (assume @p7 (forall @t3 (=> @t9 @t10))) % 0.39/0.56 (assume @p8 (forall @t7 (not (and @t4 @t5)))) % 0.39/0.56 (assume @p9 (forall @t7 (not (and @t9 (not (= @t1 @t2)) @t5)))) % 0.39/0.56 (assume @p10 (forall @t3 (=> @t16 @t15))) % 0.39/0.56 (assume @p11 @t17) % 0.39/0.56 (assume @p12 (exists @t3 (and @t14 @t13 @t16))) % 0.39/0.56 (assume @p13 (exists @t3 (and @t10 @t8))) % 0.39/0.56 (assume @p14 (exists @t3 @t12)) % 0.39/0.56 (assume @p15 (exists @t3 @t11)) % 0.39/0.56 (assume @p16 (exists @t3 (and @t10 @t18 @t8))) % 0.39/0.56 (assume @p17 (exists @t3 (and @t10 (tptp.relation_non_empty @t1) @t8))) % 0.39/0.56 (assume @p18 (and @t20 @t19)) % 0.39/0.56 (assume @p19 (and @t20 @t19 (tptp.relation_empty_yielding tptp.empty_set))) % 0.39/0.56 (assume @p20 (exists @t3 (and @t9 @t10))) % 0.39/0.56 (assume @p21 (exists @t3 (and @t21 @t10))) % 0.39/0.56 (assume @p22 (exists @t3 (and @t10 @t18))) % 0.39/0.56 (assume @p23 @t20) % 0.39/0.56 (assume @p24 (exists @t3 @t9)) % 0.39/0.56 (assume @p25 (exists @t3 @t21)) % 0.39/0.56 (assume @p26 (forall @t3 (=> @t9 (= @t1 tptp.empty_set)))) % 0.39/0.56 (assume @p27 (not @t22)) % 0.39/0.56 (assume @p28 (forall @t3 (= @t16 @t15))) % 0.39/0.56 (assume @p29 (and @t24 @t23)) % 0.39/0.56 (assume @p30 true) % 0.39/0.56 (step @p31 :rule aci_norm :args ((= (or (or @t26 @t25) @t16) @t27))) % 0.39/0.56 (step @p32 :rule refl :args (@t16)) % 0.39/0.56 (step @p33 :rule bool-and-de-morgan :args (@t14 @t13 true)) % 0.39/0.56 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t15) @t16))) % 0.39/0.56 (step @p35 :rule trans :premises (@p34 @p31)) % 0.39/0.56 (step @p36 :rule bool-impl-elim :args (@t15 @t16)) % 0.39/0.56 (step @p37 :rule trans :premises (@p36 @p35)) % 0.39/0.56 (step @p38 :rule cong :premises (@p37) :args (@t17)) % 0.39/0.56 (step @p39 :rule eq_resolve :premises (@p11 @p38)) % 0.39/0.56 (step @p40 :rule and_elim :premises (@p29) :args (1)) % 0.39/0.56 (step @p41 :rule and_elim :premises (@p29) :args (0)) % 0.39/0.56 (step @p42 :rule cnf_or_pos :args (@t30)) % 0.39/0.56 (step @p43 :rule reordering :premises (@p42) :args ((or @t22 @t29 @t28 @t31))) % 0.39/0.56 (step @p44 :rule chain_m_resolution :premises (@p43 @p27 @p41 @p40) :args (@t31 (@list true false false) (@list @t22 @t24 @t23))) % 0.39/0.56 (assume-push @p51 @t32) % 0.39/0.56 (step @p46 :rule instantiate :premises (@p39) :args ((@list tptp.empty_set))) % 0.39/0.56 (step-pop @p52 :rule scope :premises (@p46)) % 0.39/0.56 (step @p47 :rule process_scope :premises (@p52) :args (@t30)) % 0.39/0.56 (step @p49 :rule implies_elim :premises (@p47)) % 0.39/0.56 (step @p50 false :rule chain_m_resolution :premises (@p49 @p44 @p39) :args (false (@list true false) (@list @t30 @t32))) % 0.39/0.56 ) % 0.39/0.56 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------