%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET867+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 08:48:53 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 % 0.00/0.12 % Problem : SET867+1 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 16:16:16 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----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 $$unsorted 0) % 0.36/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.empty_set $$unsorted) % 0.36/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.36/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.36/0.56 (define @t3 () (not (tptp.in @t2 @t1))) % 0.36/0.56 (define @t4 () (@list @t1 @t2)) % 0.36/0.56 (define @t5 () (@list @t2)) % 0.36/0.56 (define @t6 () (@list @t1)) % 0.36/0.56 (define @t7 () (forall @t6 (= (= @t1 tptp.empty_set) (forall @t5 @t3)))) % 0.36/0.56 (define @t8 () (@var "D" $$unsorted)) % 0.36/0.56 (define @t9 () (tptp.in @t8 @t1)) % 0.36/0.56 (define @t10 () (@var "C" $$unsorted)) % 0.36/0.56 (define @t11 () (tptp.in @t10 @t8)) % 0.36/0.56 (define @t12 () (and @t11 @t9)) % 0.36/0.56 (define @t13 () (@list @t8)) % 0.36/0.56 (define @t14 () (exists @t13 @t12)) % 0.36/0.56 (define @t15 () (tptp.in @t10 @t2)) % 0.36/0.56 (define @t16 () (= @t15 @t14)) % 0.36/0.56 (define @t17 () (@list @t10)) % 0.36/0.56 (define @t18 () (forall @t17 @t16)) % 0.36/0.56 (define @t19 () (= @t2 (tptp.union @t1))) % 0.36/0.56 (define @t20 () (= @t19 @t18)) % 0.36/0.56 (define @t21 () (forall @t4 @t20)) % 0.36/0.56 (define @t22 () (tptp.empty @t1)) % 0.36/0.56 (define @t23 () (tptp.union tptp.empty_set)) % 0.36/0.56 (define @t24 () (forall @t5 (not (tptp.in @t2 tptp.empty_set)))) % 0.36/0.56 (define @t25 () (= (= tptp.empty_set tptp.empty_set) @t24)) % 0.36/0.56 (define @t26 () (@list false)) % 0.36/0.56 (define @t27 () (forall @t13 (not @t12))) % 0.36/0.56 (define @t28 () (not @t27)) % 0.36/0.56 (define @t29 () (not (tptp.in @t8 tptp.empty_set))) % 0.36/0.56 (define @t30 () (forall @t17 (= (tptp.in @t10 tptp.empty_set) (not (forall @t13 (or (not @t11) @t29)))))) % 0.36/0.56 (define @t31 () (= tptp.empty_set @t23)) % 0.36/0.56 (define @t32 () (= @t31 @t30)) % 0.36/0.56 (define @t33 () (not @t30)) % 0.36/0.56 (define @t34 () (@quantifiers_skolemize @t30 0)) % 0.36/0.56 (define @t35 () (forall @t13 (or (not (tptp.in @t34 @t8)) @t29))) % 0.36/0.56 (define @t36 () (@quantifiers_skolemize @t35 0)) % 0.36/0.56 (define @t37 () (tptp.in @t36 tptp.empty_set)) % 0.36/0.56 (define @t38 () (not @t37)) % 0.36/0.56 (define @t39 () (or (not (tptp.in @t34 @t36)) @t38)) % 0.36/0.56 (define @t40 () (not @t39)) % 0.36/0.56 (define @t41 () (not @t35)) % 0.36/0.56 (define @t42 () (tptp.in @t34 tptp.empty_set)) % 0.36/0.56 (define @t43 () (= @t42 @t41)) % 0.36/0.56 (assume @p1 (forall @t4 (=> (tptp.in @t1 @t2) @t3))) % 0.36/0.56 (assume @p2 @t7) % 0.36/0.56 (assume @p3 @t21) % 0.36/0.56 (assume @p4 (tptp.empty tptp.empty_set)) % 0.36/0.56 (assume @p5 (exists @t6 @t22)) % 0.36/0.56 (assume @p6 (exists @t6 (not @t22))) % 0.36/0.56 (assume @p7 (not (= @t23 tptp.empty_set))) % 0.36/0.56 (assume @p8 true) % 0.36/0.56 (step @p9 :rule bool-eq-true :args (@t24)) % 0.36/0.56 (step @p10 :rule eq-symm :args (true @t24)) % 0.36/0.56 (step @p11 :rule trans :premises (@p10 @p9)) % 0.36/0.56 (step @p12 :rule refl :args (@t24)) % 0.36/0.56 (step @p13 :rule eq-refl :args (tptp.empty_set)) % 0.36/0.56 (step @p14 :rule cong :premises (@p13 @p12) :args (@t25)) % 0.36/0.56 (step @p15 :rule trans :premises (@p14 @p11)) % 0.36/0.56 (step @p16 :rule refl :args (@t7)) % 0.36/0.56 (step @p17 :rule cong :premises (@p16 @p15) :args ((=> @t7 @t25))) % 0.36/0.56 (assume-push @p70 @t7) % 0.36/0.56 (step @p19 :rule instantiate :premises (@p2) :args ((@list tptp.empty_set))) % 0.36/0.56 (step-pop @p71 :rule scope :premises (@p19)) % 0.36/0.56 (step @p20 :rule process_scope :premises (@p71) :args (@t25)) % 0.36/0.56 (step @p22 :rule eq_resolve :premises (@p20 @p17)) % 0.36/0.56 (step @p23 :rule implies_elim :premises (@p22)) % 0.36/0.56 (step @p24 :rule chain_m_resolution :premises (@p23 @p2) :args (@t24 @t26 (@list @t7))) % 0.36/0.56 (step @p25 :rule bool-and-de-morgan :args (@t11 @t9 true)) % 0.36/0.56 (step @p26 :rule cong :premises (@p25) :args (@t27)) % 0.36/0.56 (step @p27 :rule cong :premises (@p26) :args (@t28)) % 0.36/0.56 (step @p28 :rule exists-elim :args ((= @t14 @t28))) % 0.36/0.56 (step @p29 :rule trans :premises (@p28 @p27)) % 0.36/0.56 (step @p30 :rule refl :args (@t15)) % 0.36/0.56 (step @p31 :rule cong :premises (@p30 @p29) :args (@t16)) % 0.36/0.56 (step @p32 :rule cong :premises (@p31) :args (@t18)) % 0.36/0.56 (step @p33 :rule refl :args (@t19)) % 0.36/0.56 (step @p34 :rule cong :premises (@p33 @p32) :args (@t20)) % 0.36/0.56 (step @p35 :rule cong :premises (@p34) :args (@t21)) % 0.36/0.56 (step @p36 :rule eq_resolve :premises (@p3 @p35)) % 0.36/0.56 (step @p37 :rule instantiate :premises (@p36) :args ((@list tptp.empty_set tptp.empty_set))) % 0.36/0.56 (step @p38 :rule symm :premises (@p7)) % 0.36/0.56 (step @p39 :rule cnf_equiv_pos2 :args (@t32)) % 0.36/0.56 (step @p40 :rule reordering :premises (@p39) :args ((or @t31 @t33 (not @t32)))) % 0.36/0.56 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p37) :args (@t33 (@list true false) (@list @t31 @t32))) % 0.36/0.56 (step @p42 :rule skolemize :premises (@p41)) % 0.36/0.56 (step @p43 :rule instantiate :premises (@p24) :args ((@list @t36))) % 0.36/0.56 (step @p44 :rule bool-double-not-elim :args (@t37)) % 0.36/0.56 (step @p45 :rule refl :args (@t39)) % 0.36/0.56 (step @p46 :rule nary_cong :premises (@p45 @p44) :args ((or @t39 (not @t38)))) % 0.36/0.56 (step @p47 :rule cnf_or_neg :args (@t39 1)) % 0.36/0.56 (step @p48 :rule eq_resolve :premises (@p47 @p46)) % 0.36/0.56 (step @p49 :rule reordering :premises (@p48) :args ((or @t37 @t39))) % 0.36/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p43) :args (@t39 (@list true) (@list @t37))) % 0.36/0.56 (step @p51 :rule refl :args (@t40)) % 0.36/0.56 (step @p52 :rule bool-double-not-elim :args (@t35)) % 0.36/0.56 (step @p53 :rule nary_cong :premises (@p52 @p51) :args ((or (not @t41) @t40))) % 0.36/0.56 (assume-push @p72 @t41) % 0.36/0.56 (step @p55 :rule skolemize :premises (@p72)) % 0.36/0.56 (step-pop @p73 :rule scope :premises (@p55)) % 0.36/0.56 (step @p56 :rule process_scope :premises (@p73) :args (@t40)) % 0.36/0.56 (step @p58 :rule implies_elim :premises (@p56)) % 0.36/0.56 (step @p59 :rule eq_resolve :premises (@p58 @p53)) % 0.36/0.56 (step @p60 :rule chain_m_resolution :premises (@p59 @p50) :args (@t35 @t26 (@list @t39))) % 0.36/0.56 (step @p61 :rule cnf_equiv_neg1 :args (@t43)) % 0.36/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t42 @t41 @t43))) % 0.36/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p42) :args (@t42 (@list false true) (@list @t35 @t43))) % 0.36/0.56 (assume-push @p74 @t24) % 0.36/0.56 (step @p65 :rule instantiate :premises (@p24) :args ((@list @t34))) % 0.36/0.56 (step-pop @p75 :rule scope :premises (@p65)) % 0.36/0.56 (step @p66 :rule process_scope :premises (@p75) :args ((not @t42))) % 0.36/0.56 (step @p68 :rule implies_elim :premises (@p66)) % 0.36/0.56 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p24) :args (false (@list false false) (@list @t42 @t24))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting 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