%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET607+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 : n016.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 08:48:12 AM UTC 2026 % Result : Theorem 0.44s 0.68s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET607+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n016.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 16:05:09 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.44/0.68 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.44/0.68 % SZS status Theorem % 0.44/0.68 % SZS output start Proof % 0.44/0.68 ( % 0.44/0.68 (declare-sort $$unsorted 0) % 0.44/0.68 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.44/0.68 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.44/0.68 (define @t1 () (@var "C" $$unsorted)) % 0.44/0.68 (define @t2 () (@var "D" $$unsorted)) % 0.44/0.68 (define @t3 () (tptp.member @t2 @t1)) % 0.44/0.68 (define @t4 () (@var "B" $$unsorted)) % 0.44/0.68 (define @t5 () (tptp.member @t2 @t4)) % 0.44/0.68 (define @t6 () (tptp.union @t4 @t1)) % 0.44/0.68 (define @t7 () (@list @t4 @t1 @t2)) % 0.44/0.68 (define @t8 () (tptp.subset @t4 @t1)) % 0.44/0.68 (define @t9 () (= @t4 @t1)) % 0.44/0.68 (define @t10 () (@list @t4 @t1)) % 0.44/0.68 (define @t11 () (@list @t2)) % 0.44/0.68 (define @t12 () (forall @t10 (= @t9 (forall @t11 (= @t5 @t3))))) % 0.44/0.68 (define @t13 () (tptp.union @t4 (tptp.difference @t1 @t4))) % 0.44/0.68 (define @t14 () (forall @t10 (= @t13 @t6))) % 0.44/0.68 (define @t15 () (not @t14)) % 0.44/0.68 (define @t16 () (forall @t10 (= @t6 @t13))) % 0.44/0.68 (define @t17 () (@quantifiers_skolemize @t16 0)) % 0.44/0.68 (define @t18 () (@quantifiers_skolemize @t16 1)) % 0.44/0.68 (define @t19 () (tptp.difference @t18 @t17)) % 0.44/0.68 (define @t20 () (tptp.union @t17 @t19)) % 0.44/0.68 (define @t21 () (tptp.member @t2 @t20)) % 0.44/0.68 (define @t22 () (tptp.union @t17 @t18)) % 0.44/0.68 (define @t23 () (tptp.member @t2 @t22)) % 0.44/0.68 (define @t24 () (forall @t11 (= @t23 @t21))) % 0.44/0.68 (define @t25 () (@quantifiers_skolemize @t24 0)) % 0.44/0.68 (define @t26 () (tptp.member @t25 @t19)) % 0.44/0.68 (define @t27 () (tptp.member @t25 @t17)) % 0.44/0.68 (define @t28 () (or @t27 @t26)) % 0.44/0.68 (define @t29 () (tptp.member @t25 @t20)) % 0.44/0.68 (define @t30 () (= @t29 @t28)) % 0.44/0.68 (define @t31 () (not @t30)) % 0.44/0.68 (define @t32 () (not @t28)) % 0.44/0.68 (define @t33 () (forall @t11 (= @t21 @t23))) % 0.44/0.68 (define @t34 () (= (= @t20 @t22) @t33)) % 0.44/0.68 (define @t35 () (= @t22 @t20)) % 0.44/0.68 (define @t36 () (= @t35 @t24)) % 0.44/0.68 (define @t37 () (not @t24)) % 0.44/0.68 (define @t38 () (@list true false)) % 0.44/0.68 (define @t39 () (tptp.member @t25 @t22)) % 0.44/0.68 (define @t40 () (= @t39 @t29)) % 0.44/0.68 (define @t41 () (tptp.member @t25 @t18)) % 0.44/0.68 (define @t42 () (or @t27 @t41)) % 0.44/0.68 (define @t43 () (= @t39 @t42)) % 0.44/0.68 (define @t44 () (not @t43)) % 0.44/0.68 (define @t45 () (not @t42)) % 0.44/0.68 (define @t46 () (not @t27)) % 0.44/0.68 (define @t47 () (and @t41 @t46)) % 0.44/0.68 (define @t48 () (not @t47)) % 0.44/0.68 (define @t49 () (= @t26 @t47)) % 0.44/0.68 (define @t50 () (not @t49)) % 0.44/0.68 (define @t51 () (not @t26)) % 0.44/0.68 (define @t52 () (@list true)) % 0.44/0.68 (define @t53 () (@list @t28)) % 0.44/0.68 (define @t54 () (not @t41)) % 0.44/0.68 (define @t55 () (or @t54 @t29)) % 0.44/0.68 (define @t56 () (not @t55)) % 0.44/0.68 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.44/0.68 (assume @p2 (forall @t7 (= (tptp.member @t2 (tptp.difference @t4 @t1)) (and @t5 (not @t3))))) % 0.44/0.68 (assume @p3 (forall @t10 (= @t9 (and @t8 (tptp.subset @t1 @t4))))) % 0.44/0.68 (assume @p4 (forall @t10 (= @t6 (tptp.union @t1 @t4)))) % 0.44/0.68 (assume @p5 (forall @t10 (= @t8 (forall @t11 (=> @t5 @t3))))) % 0.44/0.68 (assume @p6 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.44/0.68 (assume @p7 @t12) % 0.44/0.68 (assume @p8 @t15) % 0.44/0.68 (assume @p9 true) % 0.44/0.68 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t17 @t19 @t25))) % 0.44/0.68 (step @p11 :rule cnf_equiv_pos2 :args (@t30)) % 0.44/0.68 (step @p12 :rule reordering :premises (@p11) :args ((or @t29 @t32 @t31))) % 0.44/0.68 (step @p13 :rule eq-symm :args (@t21 @t23)) % 0.44/0.68 (step @p14 :rule cong :premises (@p13) :args (@t33)) % 0.44/0.68 (step @p15 :rule eq-symm :args (@t20 @t22)) % 0.44/0.68 (step @p16 :rule cong :premises (@p15 @p14) :args (@t34)) % 0.44/0.68 (step @p17 :rule refl :args (@t12)) % 0.44/0.68 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t12 @t34))) % 0.44/0.68 (assume-push @p83 @t12) % 0.44/0.68 (step @p20 :rule instantiate :premises (@p7) :args ((@list @t20 @t22))) % 0.44/0.68 (step-pop @p84 :rule scope :premises (@p20)) % 0.44/0.68 (step @p21 :rule process_scope :premises (@p84) :args (@t34)) % 0.44/0.68 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.44/0.68 (step @p24 :rule implies_elim :premises (@p23)) % 0.44/0.68 (step @p25 :rule chain_m_resolution :premises (@p24 @p7) :args (@t36 (@list false) (@list @t12))) % 0.44/0.68 (step @p26 :rule eq-symm :args (@t13 @t6)) % 0.44/0.68 (step @p27 :rule cong :premises (@p26) :args (@t14)) % 0.44/0.68 (step @p28 :rule cong :premises (@p27) :args (@t15)) % 0.44/0.68 (step @p29 :rule eq_resolve :premises (@p8 @p28)) % 0.44/0.68 (step @p30 :rule skolemize :premises (@p29)) % 0.44/0.68 (step @p31 :rule cnf_equiv_pos2 :args (@t36)) % 0.44/0.68 (step @p32 :rule reordering :premises (@p31) :args ((or @t35 @t37 (not @t36)))) % 0.44/0.68 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p25) :args (@t37 @t38 (@list @t35 @t36))) % 0.44/0.68 (step @p34 :rule skolemize :premises (@p33)) % 0.44/0.68 (step @p35 :rule cnf_equiv_neg2 :args (@t40)) % 0.44/0.68 (step @p36 :rule instantiate :premises (@p1) :args ((@list @t17 @t18 @t25))) % 0.44/0.68 (step @p37 :rule cnf_equiv_pos2 :args (@t43)) % 0.44/0.68 (step @p38 :rule reordering :premises (@p37) :args ((or @t39 @t45 @t44))) % 0.44/0.68 (step @p39 :rule cnf_or_neg :args (@t42 0)) % 0.44/0.68 (step @p40 :rule cnf_or_neg :args (@t42 1)) % 0.44/0.68 (step @p41 :rule cnf_or_pos :args (@t28)) % 0.44/0.68 (step @p42 :rule reordering :premises (@p41) :args ((or @t27 @t26 @t32))) % 0.44/0.68 (step @p43 :rule cnf_and_pos :args (@t47 0)) % 0.44/0.68 (step @p44 :rule reordering :premises (@p43) :args ((or @t41 @t48))) % 0.44/0.68 (step @p45 :rule instantiate :premises (@p2) :args ((@list @t18 @t17 @t25))) % 0.44/0.68 (step @p46 :rule cnf_equiv_pos1 :args (@t49)) % 0.44/0.68 (step @p47 :rule reordering :premises (@p46) :args ((or @t51 @t47 @t50))) % 0.44/0.68 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p44 @p42 @p40 @p39 @p38 @p36 @p35 @p34 @p12 @p10) :args (@t32 (@list false true false true true true false true true false false) (@list @t49 @t47 @t26 @t41 @t27 @t42 @t43 @t39 @t40 @t29 @t30))) % 0.44/0.68 (step @p49 :rule cnf_or_neg :args (@t28 0)) % 0.44/0.68 (step @p50 :rule chain_m_resolution :premises (@p49 @p48) :args (@t46 @t52 @t53)) % 0.44/0.68 (step @p51 :rule cnf_or_neg :args (@t28 1)) % 0.44/0.68 (step @p52 :rule chain_m_resolution :premises (@p51 @p48) :args (@t51 @t52 @t53)) % 0.44/0.68 (step @p53 :rule cnf_equiv_pos2 :args (@t49)) % 0.44/0.68 (step @p54 :rule reordering :premises (@p53) :args ((or @t26 @t48 @t50))) % 0.44/0.68 (step @p55 :rule chain_m_resolution :premises (@p54 @p52 @p45) :args (@t48 @t38 (@list @t26 @t49))) % 0.44/0.68 (step @p56 :rule cnf_equiv_pos1 :args (@t30)) % 0.44/0.68 (step @p57 :rule reordering :premises (@p56) :args ((or (not @t29) @t28 @t31))) % 0.44/0.68 (step @p58 :rule cnf_equiv_neg1 :args (@t40)) % 0.44/0.68 (step @p59 :rule reordering :premises (@p58) :args ((or @t39 @t29 @t40))) % 0.44/0.68 (step @p60 :rule cnf_or_pos :args (@t55)) % 0.44/0.68 (step @p61 :rule reordering :premises (@p60) :args ((or @t29 @t54 @t56))) % 0.44/0.68 (step @p62 :rule cnf_equiv_pos1 :args (@t43)) % 0.44/0.68 (step @p63 :rule reordering :premises (@p62) :args ((or (not @t39) @t42 @t44))) % 0.44/0.68 (step @p64 :rule cnf_or_pos :args (@t42)) % 0.44/0.68 (step @p65 :rule reordering :premises (@p64) :args ((or @t27 @t41 @t45))) % 0.44/0.68 (step @p66 :rule chain_m_resolution :premises (@p65 @p63 @p36 @p61 @p59 @p34 @p57 @p10 @p49) :args ((or @t28 @t56) (@list false false true false true true false true) (@list @t42 @t43 @t41 @t39 @t40 @t29 @t30 @t27))) % 0.44/0.68 (step @p67 :rule chain_m_resolution :premises (@p66 @p48) :args (@t56 @t52 @t53)) % 0.44/0.68 (step @p68 :rule bool-double-not-elim :args (@t41)) % 0.44/0.68 (step @p69 :rule refl :args (@t55)) % 0.44/0.68 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t55 (not @t54)))) % 0.44/0.68 (step @p71 :rule cnf_or_neg :args (@t55 0)) % 0.44/0.68 (step @p72 :rule eq_resolve :premises (@p71 @p70)) % 0.44/0.68 (step @p73 :rule reordering :premises (@p72) :args ((or @t41 @t55))) % 0.44/0.68 (step @p74 :rule chain_m_resolution :premises (@p73 @p67) :args (@t41 @t52 (@list @t55))) % 0.44/0.68 (step @p75 :rule bool-double-not-elim :args (@t27)) % 0.44/0.68 (step @p76 :rule refl :args (@t54)) % 0.44/0.68 (step @p77 :rule refl :args (@t47)) % 0.44/0.68 (step @p78 :rule nary_cong :premises (@p77 @p76 @p75) :args ((or @t47 @t54 (not @t46)))) % 0.44/0.68 (step @p79 :rule cnf_and_neg :args (@t47)) % 0.44/0.68 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.44/0.68 (step @p81 :rule reordering :premises (@p80) :args ((or @t27 @t54 @t47))) % 0.44/0.68 (step @p82 false :rule chain_m_resolution :premises (@p81 @p74 @p55 @p50) :args (false (@list false true true) (@list @t41 @t47 @t27))) % 0.44/0.68 ) % 0.44/0.68 % SZS output end Proof % 0.44/0.68 % cvc5 exiting %------------------------------------------------------------------------------