%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET633+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 08:48:19 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET633+3 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.33 % Computer : n021.cluster.edu % 0.17/0.33 % Model : x86_64 x86_64 % 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.33 % Memory : 8042.1875MB % 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.33 % CPULimit : 300 % 0.17/0.33 % WCLimit : 300 % 0.17/0.33 % DateTime : Tue Jun 2 16:06:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.55 (define @t1 () (@var "B" $$unsorted)) % 0.29/0.55 (define @t2 () (@var "C" $$unsorted)) % 0.29/0.55 (define @t3 () (tptp.difference @t2 @t1)) % 0.29/0.55 (define @t4 () (tptp.difference @t1 @t2)) % 0.29/0.55 (define @t5 () (tptp.symmetric_difference @t1 @t2)) % 0.29/0.55 (define @t6 () (@list @t1 @t2)) % 0.29/0.55 (define @t7 () (@var "D" $$unsorted)) % 0.29/0.55 (define @t8 () (tptp.subset (tptp.union @t1 @t7) @t2)) % 0.29/0.55 (define @t9 () (tptp.subset @t7 @t2)) % 0.29/0.55 (define @t10 () (tptp.subset @t1 @t2)) % 0.29/0.55 (define @t11 () (and @t10 @t9)) % 0.29/0.55 (define @t12 () (@list @t1 @t2 @t7)) % 0.29/0.55 (define @t13 () (forall @t12 (=> @t11 @t8))) % 0.29/0.55 (define @t14 () (tptp.member @t7 @t2)) % 0.29/0.55 (define @t15 () (tptp.member @t7 @t1)) % 0.29/0.55 (define @t16 () (@list @t7)) % 0.29/0.55 (define @t17 () (tptp.subset @t5 @t7)) % 0.29/0.55 (define @t18 () (tptp.subset @t3 @t7)) % 0.29/0.55 (define @t19 () (tptp.subset @t4 @t7)) % 0.29/0.55 (define @t20 () (and @t19 @t18)) % 0.29/0.55 (define @t21 () (forall @t12 (=> @t20 @t17))) % 0.29/0.55 (define @t22 () (not @t21)) % 0.29/0.55 (define @t23 () (not @t9)) % 0.29/0.55 (define @t24 () (not @t10)) % 0.29/0.55 (define @t25 () (or @t24 @t23 @t8)) % 0.29/0.55 (define @t26 () (not @t18)) % 0.29/0.55 (define @t27 () (not @t19)) % 0.29/0.55 (define @t28 () (or @t27 @t26 @t17)) % 0.29/0.55 (define @t29 () (forall @t12 @t28)) % 0.29/0.55 (define @t30 () (@quantifiers_skolemize @t29 2)) % 0.29/0.55 (define @t31 () (@quantifiers_skolemize @t29 1)) % 0.29/0.55 (define @t32 () (@quantifiers_skolemize @t29 0)) % 0.29/0.55 (define @t33 () (tptp.subset (tptp.symmetric_difference @t32 @t31) @t30)) % 0.29/0.55 (define @t34 () (tptp.difference @t31 @t32)) % 0.29/0.55 (define @t35 () (tptp.subset @t34 @t30)) % 0.29/0.55 (define @t36 () (not @t35)) % 0.29/0.55 (define @t37 () (tptp.difference @t32 @t31)) % 0.29/0.55 (define @t38 () (tptp.subset @t37 @t30)) % 0.29/0.55 (define @t39 () (not @t38)) % 0.29/0.55 (define @t40 () (or @t39 @t36 @t33)) % 0.29/0.55 (define @t41 () (@list true)) % 0.29/0.55 (define @t42 () (@list @t40)) % 0.29/0.55 (define @t43 () (tptp.subset (tptp.union @t34 @t37) @t30)) % 0.29/0.55 (define @t44 () (or @t36 @t39 @t43)) % 0.29/0.55 (define @t45 () (not @t44)) % 0.29/0.55 (define @t46 () (forall @t12 @t25)) % 0.29/0.55 (assume @p1 (forall @t6 (= @t5 (tptp.union @t4 @t3)))) % 0.29/0.55 (assume @p2 @t13) % 0.29/0.55 (assume @p3 (forall @t12 (= (tptp.member @t7 @t4) (and @t15 (not @t14))))) % 0.29/0.55 (assume @p4 (forall @t6 (= @t10 (forall @t16 (=> @t15 @t14))))) % 0.29/0.55 (assume @p5 (forall @t6 (= (tptp.union @t1 @t2) (tptp.union @t2 @t1)))) % 0.29/0.55 (assume @p6 (forall @t6 (= @t5 (tptp.symmetric_difference @t2 @t1)))) % 0.29/0.55 (assume @p7 (forall @t6 (= (= @t1 @t2) (forall @t16 (= @t15 @t14))))) % 0.29/0.55 (assume @p8 (forall (@list @t1) (tptp.subset @t1 @t1))) % 0.29/0.55 (assume @p9 @t22) % 0.29/0.55 (assume @p10 true) % 0.29/0.55 (step @p11 :rule aci_norm :args ((= (or (or @t24 @t23) @t8) @t25))) % 0.29/0.55 (step @p12 :rule refl :args (@t8)) % 0.29/0.55 (step @p13 :rule bool-and-de-morgan :args (@t10 @t9 true)) % 0.29/0.55 (step @p14 :rule nary_cong :premises (@p13 @p12) :args ((or (not @t11) @t8))) % 0.29/0.55 (step @p15 :rule trans :premises (@p14 @p11)) % 0.29/0.55 (step @p16 :rule bool-impl-elim :args (@t11 @t8)) % 0.29/0.55 (step @p17 :rule trans :premises (@p16 @p15)) % 0.29/0.55 (step @p18 :rule cong :premises (@p17) :args (@t13)) % 0.29/0.55 (step @p19 :rule eq_resolve :premises (@p2 @p18)) % 0.29/0.55 (step @p20 :rule aci_norm :args ((= (or (or @t27 @t26) @t17) @t28))) % 0.29/0.55 (step @p21 :rule refl :args (@t17)) % 0.29/0.55 (step @p22 :rule bool-and-de-morgan :args (@t19 @t18 true)) % 0.29/0.55 (step @p23 :rule nary_cong :premises (@p22 @p21) :args ((or (not @t20) @t17))) % 0.29/0.55 (step @p24 :rule trans :premises (@p23 @p20)) % 0.29/0.55 (step @p25 :rule bool-impl-elim :args (@t20 @t17)) % 0.29/0.55 (step @p26 :rule trans :premises (@p25 @p24)) % 0.29/0.55 (step @p27 :rule cong :premises (@p26) :args (@t21)) % 0.29/0.55 (step @p28 :rule cong :premises (@p27) :args (@t22)) % 0.29/0.55 (step @p29 :rule eq_resolve :premises (@p9 @p28)) % 0.29/0.55 (step @p30 :rule skolemize :premises (@p29)) % 0.29/0.55 (step @p31 :rule cnf_or_neg :args (@t40 2)) % 0.29/0.55 (step @p32 :rule chain_m_resolution :premises (@p31 @p30) :args ((not @t33) @t41 @t42)) % 0.29/0.55 (step @p33 :rule false_intro :premises (@p32)) % 0.29/0.55 (step @p34 :rule refl :args (@t30)) % 0.29/0.55 (step @p35 :rule instantiate :premises (@p6) :args ((@list @t32 @t31))) % 0.29/0.55 (step @p36 :rule symm :premises (@p35)) % 0.29/0.55 (step @p37 :rule instantiate :premises (@p1) :args ((@list @t31 @t32))) % 0.29/0.55 (step @p38 :rule symm :premises (@p37)) % 0.29/0.55 (step @p39 :rule trans :premises (@p38 @p36)) % 0.29/0.55 (step @p40 :rule cong :premises (@p39 @p34) :args (@t43)) % 0.29/0.55 (step @p41 :rule trans :premises (@p40 @p33)) % 0.29/0.55 (step @p42 :rule false_elim :premises (@p41)) % 0.29/0.55 (step @p43 :rule bool-double-not-elim :args (@t35)) % 0.29/0.55 (step @p44 :rule refl :args (@t40)) % 0.29/0.55 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t40 (not @t36)))) % 0.29/0.55 (step @p46 :rule cnf_or_neg :args (@t40 1)) % 0.29/0.55 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.29/0.55 (step @p48 :rule reordering :premises (@p47) :args ((or @t35 @t40))) % 0.29/0.55 (step @p49 :rule chain_m_resolution :premises (@p48 @p30) :args (@t35 @t41 @t42)) % 0.29/0.55 (step @p50 :rule bool-double-not-elim :args (@t38)) % 0.29/0.55 (step @p51 :rule nary_cong :premises (@p44 @p50) :args ((or @t40 (not @t39)))) % 0.29/0.55 (step @p52 :rule cnf_or_neg :args (@t40 0)) % 0.29/0.55 (step @p53 :rule eq_resolve :premises (@p52 @p51)) % 0.29/0.55 (step @p54 :rule reordering :premises (@p53) :args ((or @t38 @t40))) % 0.29/0.55 (step @p55 :rule chain_m_resolution :premises (@p54 @p30) :args (@t38 @t41 @t42)) % 0.29/0.55 (step @p56 :rule cnf_or_pos :args (@t44)) % 0.29/0.55 (step @p57 :rule reordering :premises (@p56) :args ((or @t39 @t36 @t43 @t45))) % 0.29/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p49 @p42) :args (@t45 (@list false false true) (@list @t38 @t35 @t43))) % 0.29/0.55 (assume-push @p65 @t46) % 0.29/0.55 (step @p60 :rule instantiate :premises (@p19) :args ((@list @t34 @t30 @t37))) % 0.29/0.55 (step-pop @p66 :rule scope :premises (@p60)) % 0.29/0.55 (step @p61 :rule process_scope :premises (@p66) :args (@t44)) % 0.29/0.55 (step @p63 :rule implies_elim :premises (@p61)) % 0.29/0.55 (step @p64 false :rule chain_m_resolution :premises (@p63 @p58 @p19) :args (false (@list true false) (@list @t44 @t46))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------