%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET907+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 : n003.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 08:48:57 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SET907+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n003.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:16:59 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t3 () (tptp.in @t1 @t2)) % 0.36/0.56 (define @t4 () (@list @t1 @t2)) % 0.36/0.56 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 0.36/0.56 (define @t6 () (tptp.set_union2 @t2 @t1)) % 0.36/0.56 (define @t7 () (tptp.set_union2 @t1 @t2)) % 0.36/0.56 (define @t8 () (tptp.empty @t1)) % 0.36/0.56 (define @t9 () (not @t8)) % 0.36/0.56 (define @t10 () (@list @t1)) % 0.36/0.56 (define @t11 () (tptp.subset @t1 @t2)) % 0.36/0.56 (define @t12 () (=> @t11 (= @t7 @t2))) % 0.36/0.56 (define @t13 () (forall @t4 @t12)) % 0.36/0.56 (define @t14 () (@var "C" $$unsorted)) % 0.36/0.56 (define @t15 () (@list @t1 @t2 @t14)) % 0.36/0.56 (define @t16 () (tptp.set_union2 (tptp.unordered_pair @t1 @t14) @t2)) % 0.36/0.56 (define @t17 () (tptp.in @t14 @t2)) % 0.36/0.56 (define @t18 () (and @t3 @t17)) % 0.36/0.56 (define @t19 () (=> @t18 (= @t16 @t2))) % 0.36/0.56 (define @t20 () (forall @t15 @t19)) % 0.36/0.56 (define @t21 () (not @t20)) % 0.36/0.56 (define @t22 () (= @t2 @t7)) % 0.36/0.56 (define @t23 () (= @t2 @t16)) % 0.36/0.56 (define @t24 () (not @t17)) % 0.36/0.56 (define @t25 () (not @t3)) % 0.36/0.56 (define @t26 () (or @t25 @t24 @t23)) % 0.36/0.56 (define @t27 () (forall @t15 @t26)) % 0.36/0.56 (define @t28 () (@quantifiers_skolemize @t27 1)) % 0.36/0.56 (define @t29 () (@quantifiers_skolemize @t27 2)) % 0.36/0.56 (define @t30 () (@quantifiers_skolemize @t27 0)) % 0.36/0.56 (define @t31 () (tptp.unordered_pair @t30 @t29)) % 0.36/0.56 (define @t32 () (= @t28 (tptp.set_union2 @t31 @t28))) % 0.36/0.56 (define @t33 () (tptp.in @t29 @t28)) % 0.36/0.56 (define @t34 () (not @t33)) % 0.36/0.56 (define @t35 () (tptp.in @t30 @t28)) % 0.36/0.56 (define @t36 () (not @t35)) % 0.36/0.56 (define @t37 () (or @t36 @t34 @t32)) % 0.36/0.56 (define @t38 () (@list true)) % 0.36/0.56 (define @t39 () (@list @t37)) % 0.36/0.56 (define @t40 () (tptp.subset @t31 @t28)) % 0.36/0.56 (define @t41 () (not @t40)) % 0.36/0.56 (define @t42 () (or @t41 @t32)) % 0.36/0.56 (define @t43 () (and @t35 @t33)) % 0.36/0.56 (define @t44 () (= @t40 @t43)) % 0.36/0.56 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.36/0.56 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 0.36/0.56 (assume @p3 (forall @t4 (= @t7 @t6))) % 0.36/0.56 (assume @p4 (forall @t4 (=> @t9 (not (tptp.empty @t7))))) % 0.36/0.56 (assume @p5 (forall @t4 (=> @t9 (not (tptp.empty @t6))))) % 0.36/0.56 (assume @p6 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 0.36/0.56 (assume @p7 (exists @t10 @t8)) % 0.36/0.56 (assume @p8 (exists @t10 @t9)) % 0.36/0.56 (assume @p9 (forall @t4 (tptp.subset @t1 @t1))) % 0.36/0.56 (assume @p10 @t13) % 0.36/0.56 (assume @p11 (forall @t15 (= (tptp.subset @t5 @t14) (and (tptp.in @t1 @t14) (tptp.in @t2 @t14))))) % 0.36/0.56 (assume @p12 @t21) % 0.36/0.56 (assume @p13 true) % 0.36/0.56 (step @p14 :rule bool-impl-elim :args (@t11 @t22)) % 0.36/0.56 (step @p15 :rule cong :premises (@p14) :args ((forall @t4 (=> @t11 @t22)))) % 0.36/0.56 (step @p16 :rule eq-symm :args (@t7 @t2)) % 0.36/0.56 (step @p17 :rule refl :args (@t11)) % 0.36/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args (@t12)) % 0.36/0.56 (step @p19 :rule cong :premises (@p18) :args (@t13)) % 0.36/0.56 (step @p20 :rule trans :premises (@p19 @p15)) % 0.36/0.56 (step @p21 :rule eq_resolve :premises (@p10 @p20)) % 0.36/0.56 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t31 @t28))) % 0.36/0.56 (step @p23 :rule aci_norm :args ((= (or (or @t25 @t24) @t23) @t26))) % 0.36/0.56 (step @p24 :rule refl :args (@t23)) % 0.36/0.56 (step @p25 :rule bool-and-de-morgan :args (@t3 @t17 true)) % 0.36/0.56 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t18) @t23))) % 0.36/0.56 (step @p27 :rule trans :premises (@p26 @p23)) % 0.36/0.56 (step @p28 :rule bool-impl-elim :args (@t18 @t23)) % 0.36/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.36/0.56 (step @p30 :rule cong :premises (@p29) :args ((forall @t15 (=> @t18 @t23)))) % 0.36/0.56 (step @p31 :rule eq-symm :args (@t16 @t2)) % 0.36/0.56 (step @p32 :rule refl :args (@t18)) % 0.36/0.56 (step @p33 :rule cong :premises (@p32 @p31) :args (@t19)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33) :args (@t20)) % 0.36/0.56 (step @p35 :rule trans :premises (@p34 @p30)) % 0.36/0.56 (step @p36 :rule cong :premises (@p35) :args (@t21)) % 0.36/0.56 (step @p37 :rule eq_resolve :premises (@p12 @p36)) % 0.36/0.56 (step @p38 :rule skolemize :premises (@p37)) % 0.36/0.56 (step @p39 :rule cnf_or_neg :args (@t37 2)) % 0.36/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p38) :args ((not @t32) @t38 @t39)) % 0.36/0.57 (step @p41 :rule cnf_or_pos :args (@t42)) % 0.36/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t32 @t41 (not @t42)))) % 0.36/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p22) :args (@t41 (@list true false) (@list @t32 @t42))) % 0.36/0.57 (step @p44 :rule bool-double-not-elim :args (@t33)) % 0.36/0.57 (step @p45 :rule refl :args (@t37)) % 0.36/0.57 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t37 (not @t34)))) % 0.36/0.57 (step @p47 :rule cnf_or_neg :args (@t37 1)) % 0.36/0.57 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.36/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or @t33 @t37))) % 0.36/0.57 (step @p50 :rule chain_m_resolution :premises (@p49 @p38) :args (@t33 @t38 @t39)) % 0.36/0.57 (step @p51 :rule bool-double-not-elim :args (@t35)) % 0.36/0.57 (step @p52 :rule nary_cong :premises (@p45 @p51) :args ((or @t37 (not @t36)))) % 0.36/0.57 (step @p53 :rule cnf_or_neg :args (@t37 0)) % 0.36/0.57 (step @p54 :rule eq_resolve :premises (@p53 @p52)) % 0.36/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t35 @t37))) % 0.36/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p38) :args (@t35 @t38 @t39)) % 0.36/0.57 (step @p57 :rule cnf_and_neg :args (@t43)) % 0.36/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t36 @t34 @t43))) % 0.36/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p50) :args (@t43 (@list false false) (@list @t35 @t33))) % 0.36/0.57 (step @p60 :rule instantiate :premises (@p11) :args ((@list @t30 @t29 @t28))) % 0.36/0.57 (step @p61 :rule cnf_equiv_pos2 :args (@t44)) % 0.36/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t40 (not @t43) (not @t44)))) % 0.36/0.57 (step @p63 false :rule chain_m_resolution :premises (@p62 @p60 @p59 @p43) :args (false (@list false false true) (@list @t44 @t43 @t40))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------