%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET947+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 : n014.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 08:49:02 AM UTC 2026 % Result : Theorem 16.70s 17.01s % Output : Proof 16.70s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET947+1 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n014.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 16:19:28 EDT 2026 % 0.15/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 16.70/17.01 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.70/17.01 --- Run --no-e-matching --full-saturate-quant at 6... % 16.70/17.01 % SZS status Theorem % 16.70/17.01 % SZS output start Proof % 16.70/17.01 ( % 16.70/17.01 (declare-sort $$unsorted 0) % 16.70/17.01 (declare-const tptp.empty (-> $$unsorted Bool)) % 16.70/17.01 (declare-const tptp.union (-> $$unsorted $$unsorted)) % 16.70/17.01 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 16.70/17.01 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 16.70/17.01 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 16.70/17.01 (define @t1 () (@var "A" $$unsorted)) % 16.70/17.01 (define @t2 () (@var "B" $$unsorted)) % 16.70/17.01 (define @t3 () (tptp.in @t1 @t2)) % 16.70/17.01 (define @t4 () (@list @t1 @t2)) % 16.70/17.01 (define @t5 () (@var "C" $$unsorted)) % 16.70/17.01 (define @t6 () (tptp.in @t5 @t2)) % 16.70/17.01 (define @t7 () (@list @t5)) % 16.70/17.01 (define @t8 () (forall @t4 (= (= @t2 (tptp.powerset @t1)) (forall @t7 (= @t6 (tptp.subset @t5 @t1)))))) % 16.70/17.01 (define @t9 () (tptp.in @t5 @t1)) % 16.70/17.01 (define @t10 () (forall @t7 (=> @t9 @t6))) % 16.70/17.01 (define @t11 () (tptp.subset @t1 @t2)) % 16.70/17.01 (define @t12 () (= @t11 @t10)) % 16.70/17.01 (define @t13 () (forall @t4 @t12)) % 16.70/17.01 (define @t14 () (tptp.subset @t1 (tptp.union @t2))) % 16.70/17.01 (define @t15 () (forall @t4 (=> @t3 @t14))) % 16.70/17.01 (define @t16 () (tptp.empty @t1)) % 16.70/17.01 (define @t17 () (@list @t1)) % 16.70/17.01 (define @t18 () (forall @t17 (tptp.subset @t1 (tptp.powerset (tptp.union @t1))))) % 16.70/17.01 (define @t19 () (@quantifiers_skolemize @t18 0)) % 16.70/17.01 (define @t20 () (tptp.union @t19)) % 16.70/17.01 (define @t21 () (tptp.powerset @t20)) % 16.70/17.01 (define @t22 () (tptp.in @t5 @t21)) % 16.70/17.01 (define @t23 () (tptp.subset @t5 @t20)) % 16.70/17.01 (define @t24 () (forall @t7 (= @t23 @t22))) % 16.70/17.01 (define @t25 () (forall @t7 (= @t22 @t23))) % 16.70/17.01 (define @t26 () (= (= @t21 @t21) @t25)) % 16.70/17.01 (define @t27 () (@list false)) % 16.70/17.01 (define @t28 () (forall @t7 (or (not (tptp.in @t5 @t19)) @t22))) % 16.70/17.01 (define @t29 () (@quantifiers_skolemize @t28 0)) % 16.70/17.01 (define @t30 () (tptp.subset @t29 @t20)) % 16.70/17.01 (define @t31 () (tptp.in @t29 @t21)) % 16.70/17.01 (define @t32 () (= @t30 @t31)) % 16.70/17.01 (define @t33 () (= @t31 @t30)) % 16.70/17.01 (define @t34 () (tptp.subset @t19 @t21)) % 16.70/17.01 (define @t35 () (= @t34 @t28)) % 16.70/17.01 (define @t36 () (not @t28)) % 16.70/17.01 (define @t37 () (@list true false)) % 16.70/17.01 (define @t38 () (tptp.in @t29 @t19)) % 16.70/17.01 (define @t39 () (not @t38)) % 16.70/17.01 (define @t40 () (or @t39 @t31)) % 16.70/17.01 (define @t41 () (@list true)) % 16.70/17.01 (define @t42 () (@list @t40)) % 16.70/17.01 (define @t43 () (not @t30)) % 16.70/17.01 (define @t44 () (or @t39 @t30)) % 16.70/17.01 (define @t45 () (not @t44)) % 16.70/17.01 (define @t46 () (forall @t4 (or (not @t3) @t14))) % 16.70/17.01 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 16.70/17.01 (assume @p2 @t8) % 16.70/17.01 (assume @p3 @t13) % 16.70/17.01 (assume @p4 @t15) % 16.70/17.01 (assume @p5 (exists @t17 @t16)) % 16.70/17.01 (assume @p6 (exists @t17 (not @t16))) % 16.70/17.01 (assume @p7 (forall @t4 (tptp.subset @t1 @t1))) % 16.70/17.01 (assume @p8 (not @t18)) % 16.70/17.01 (assume @p9 true) % 16.70/17.01 (step @p10 :rule bool-impl-elim :args (@t3 @t14)) % 16.70/17.01 (step @p11 :rule cong :premises (@p10) :args (@t15)) % 16.70/17.01 (step @p12 :rule eq_resolve :premises (@p4 @p11)) % 16.70/17.01 (step @p13 :rule bool-eq-true :args (@t24)) % 16.70/17.01 (step @p14 :rule eq-symm :args (true @t24)) % 16.70/17.01 (step @p15 :rule trans :premises (@p14 @p13)) % 16.70/17.01 (step @p16 :rule eq-symm :args (@t22 @t23)) % 16.70/17.01 (step @p17 :rule cong :premises (@p16) :args (@t25)) % 16.70/17.01 (step @p18 :rule eq-refl :args (@t21)) % 16.70/17.01 (step @p19 :rule cong :premises (@p18 @p17) :args (@t26)) % 16.70/17.01 (step @p20 :rule trans :premises (@p19 @p15)) % 16.70/17.01 (step @p21 :rule refl :args (@t8)) % 16.70/17.01 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t8 @t26))) % 16.70/17.01 (assume-push @p73 @t8) % 16.70/17.01 (step @p24 :rule instantiate :premises (@p2) :args ((@list @t20 @t21))) % 16.70/17.01 (step-pop @p74 :rule scope :premises (@p24)) % 16.70/17.01 (step @p25 :rule process_scope :premises (@p74) :args (@t26)) % 16.70/17.01 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 16.70/17.01 (step @p28 :rule implies_elim :premises (@p27)) % 16.70/17.01 (step @p29 :rule chain_m_resolution :premises (@p28 @p2) :args (@t24 @t27 (@list @t8))) % 16.70/17.01 (step @p30 :rule eq-symm :args (@t30 @t31)) % 16.70/17.01 (step @p31 :rule refl :args (@t24)) % 16.70/17.01 (step @p32 :rule cong :premises (@p31 @p30) :args ((=> @t24 @t32))) % 16.70/17.01 (assume-push @p75 @t24) % 16.70/17.01 (step @p34 :rule instantiate :premises (@p29) :args ((@list @t29))) % 16.70/17.01 (step-pop @p76 :rule scope :premises (@p34)) % 16.70/17.01 (step @p35 :rule process_scope :premises (@p76) :args (@t32)) % 16.70/17.01 (step @p37 :rule eq_resolve :premises (@p35 @p32)) % 16.70/17.01 (step @p38 :rule implies_elim :premises (@p37)) % 16.70/17.01 (step @p39 :rule chain_m_resolution :premises (@p38 @p29) :args (@t33 @t27 (@list @t24))) % 16.70/17.01 (step @p40 :rule bool-impl-elim :args (@t9 @t6)) % 16.70/17.01 (step @p41 :rule cong :premises (@p40) :args (@t10)) % 16.70/17.01 (step @p42 :rule refl :args (@t11)) % 16.70/17.01 (step @p43 :rule cong :premises (@p42 @p41) :args (@t12)) % 16.70/17.01 (step @p44 :rule cong :premises (@p43) :args (@t13)) % 16.70/17.01 (step @p45 :rule eq_resolve :premises (@p3 @p44)) % 16.70/17.01 (step @p46 :rule instantiate :premises (@p45) :args ((@list @t19 @t21))) % 16.70/17.01 (step @p47 :rule skolemize :premises (@p8)) % 16.70/17.01 (step @p48 :rule cnf_equiv_pos2 :args (@t35)) % 16.70/17.01 (step @p49 :rule reordering :premises (@p48) :args ((or @t34 @t36 (not @t35)))) % 16.70/17.01 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p46) :args (@t36 @t37 (@list @t34 @t35))) % 16.70/17.01 (step @p51 :rule skolemize :premises (@p50)) % 16.70/17.01 (step @p52 :rule cnf_or_neg :args (@t40 1)) % 16.70/17.01 (step @p53 :rule chain_m_resolution :premises (@p52 @p51) :args ((not @t31) @t41 @t42)) % 16.70/17.01 (step @p54 :rule cnf_equiv_pos2 :args (@t33)) % 16.70/17.01 (step @p55 :rule reordering :premises (@p54) :args ((or @t31 @t43 (not @t33)))) % 16.70/17.01 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p39) :args (@t43 @t37 (@list @t31 @t33))) % 16.70/17.01 (step @p57 :rule bool-double-not-elim :args (@t38)) % 16.70/17.01 (step @p58 :rule refl :args (@t40)) % 16.70/17.01 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t40 (not @t39)))) % 16.70/17.01 (step @p60 :rule cnf_or_neg :args (@t40 0)) % 16.70/17.01 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 16.70/17.01 (step @p62 :rule reordering :premises (@p61) :args ((or @t38 @t40))) % 16.70/17.01 (step @p63 :rule chain_m_resolution :premises (@p62 @p51) :args (@t38 @t41 @t42)) % 16.70/17.01 (step @p64 :rule cnf_or_pos :args (@t44)) % 16.70/17.01 (step @p65 :rule reordering :premises (@p64) :args ((or @t39 @t30 @t45))) % 16.70/17.01 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p56) :args (@t45 (@list false true) (@list @t38 @t30))) % 16.70/17.01 (assume-push @p77 @t46) % 16.70/17.01 (step @p68 :rule instantiate :premises (@p12) :args ((@list @t29 @t19))) % 16.70/17.01 (step-pop @p78 :rule scope :premises (@p68)) % 16.70/17.01 (step @p69 :rule process_scope :premises (@p78) :args (@t44)) % 16.70/17.01 (step @p71 :rule implies_elim :premises (@p69)) % 16.70/17.01 (step @p72 false :rule chain_m_resolution :premises (@p71 @p66 @p12) :args (false @t37 (@list @t44 @t46))) % 16.70/17.01 ) % 16.70/17.01 % SZS output end Proof % 16.70/17.01 % cvc5 exiting %------------------------------------------------------------------------------