%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET586+3 : TPTP v9.2.1. Released v2.2.0. % 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 08:48:06 AM UTC 2026 % Result : Theorem 0.32s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET586+3 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n025.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 16:03:46 EDT 2026 % 0.18/0.34 % CPUTime : % 0.32/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.32/0.56 % SZS status Theorem % 0.32/0.56 % SZS output start Proof % 0.32/0.56 ( % 0.32/0.56 (declare-sort $$unsorted 0) % 0.32/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.32/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.32/0.56 (define @t1 () (@var "C" $$unsorted)) % 0.32/0.56 (define @t2 () (@var "D" $$unsorted)) % 0.32/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.32/0.56 (define @t4 () (@var "B" $$unsorted)) % 0.32/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.32/0.56 (define @t6 () (tptp.intersection @t4 @t1)) % 0.32/0.56 (define @t7 () (@list @t4 @t1 @t2)) % 0.32/0.56 (define @t8 () (@list @t2)) % 0.32/0.56 (define @t9 () (forall @t8 (=> @t5 @t3))) % 0.32/0.56 (define @t10 () (tptp.subset @t4 @t1)) % 0.32/0.56 (define @t11 () (= @t10 @t9)) % 0.32/0.56 (define @t12 () (@list @t4 @t1)) % 0.32/0.56 (define @t13 () (forall @t12 @t11)) % 0.32/0.56 (define @t14 () (tptp.subset (tptp.intersection @t4 @t2) (tptp.intersection @t1 @t2))) % 0.32/0.56 (define @t15 () (forall @t7 (=> @t10 @t14))) % 0.32/0.56 (define @t16 () (not @t15)) % 0.32/0.56 (define @t17 () (forall @t7 (or (not @t10) @t14))) % 0.32/0.56 (define @t18 () (@quantifiers_skolemize @t17 1)) % 0.32/0.56 (define @t19 () (@quantifiers_skolemize @t17 0)) % 0.32/0.56 (define @t20 () (tptp.subset @t19 @t18)) % 0.32/0.56 (define @t21 () (@quantifiers_skolemize @t17 2)) % 0.32/0.56 (define @t22 () (tptp.intersection @t18 @t21)) % 0.32/0.56 (define @t23 () (tptp.intersection @t19 @t21)) % 0.32/0.56 (define @t24 () (tptp.subset @t23 @t22)) % 0.32/0.56 (define @t25 () (not @t20)) % 0.32/0.56 (define @t26 () (or @t25 @t24)) % 0.32/0.56 (define @t27 () (@list true)) % 0.32/0.56 (define @t28 () (@list @t26)) % 0.32/0.56 (define @t29 () (forall @t8 (or (not (tptp.member @t2 @t19)) (tptp.member @t2 @t18)))) % 0.32/0.56 (define @t30 () (= @t20 @t29)) % 0.32/0.56 (define @t31 () (@list false false)) % 0.32/0.56 (define @t32 () (forall @t8 (or (not (tptp.member @t2 @t23)) (tptp.member @t2 @t22)))) % 0.32/0.56 (define @t33 () (@quantifiers_skolemize @t32 0)) % 0.32/0.56 (define @t34 () (= @t24 @t32)) % 0.32/0.56 (define @t35 () (not @t32)) % 0.32/0.56 (define @t36 () (@list true false)) % 0.32/0.56 (define @t37 () (tptp.member @t33 @t23)) % 0.32/0.56 (define @t38 () (tptp.member @t33 @t22)) % 0.32/0.56 (define @t39 () (not @t37)) % 0.32/0.56 (define @t40 () (or @t39 @t38)) % 0.32/0.56 (define @t41 () (@list @t40)) % 0.32/0.56 (define @t42 () (tptp.member @t33 @t21)) % 0.32/0.56 (define @t43 () (tptp.member @t33 @t19)) % 0.32/0.56 (define @t44 () (and @t43 @t42)) % 0.32/0.56 (define @t45 () (= @t37 @t44)) % 0.32/0.56 (define @t46 () (not @t44)) % 0.32/0.56 (define @t47 () (@list false)) % 0.32/0.56 (define @t48 () (@list @t44)) % 0.32/0.56 (define @t49 () (tptp.member @t33 @t18)) % 0.32/0.56 (define @t50 () (and @t49 @t42)) % 0.32/0.56 (define @t51 () (= @t38 @t50)) % 0.32/0.56 (define @t52 () (not @t50)) % 0.32/0.56 (define @t53 () (not @t49)) % 0.32/0.56 (define @t54 () (not @t43)) % 0.32/0.56 (define @t55 () (or @t54 @t49)) % 0.32/0.56 (define @t56 () (not @t55)) % 0.32/0.56 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (and @t5 @t3)))) % 0.32/0.56 (assume @p2 @t13) % 0.32/0.56 (assume @p3 (forall @t12 (= @t6 (tptp.intersection @t1 @t4)))) % 0.32/0.56 (assume @p4 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.32/0.56 (assume @p5 (forall @t12 (= (= @t4 @t1) (forall @t8 (= @t5 @t3))))) % 0.32/0.56 (assume @p6 @t16) % 0.32/0.56 (assume @p7 true) % 0.32/0.56 (step @p8 :rule bool-impl-elim :args (@t5 @t3)) % 0.32/0.56 (step @p9 :rule cong :premises (@p8) :args (@t9)) % 0.32/0.56 (step @p10 :rule refl :args (@t10)) % 0.32/0.56 (step @p11 :rule cong :premises (@p10 @p9) :args (@t11)) % 0.32/0.56 (step @p12 :rule cong :premises (@p11) :args (@t13)) % 0.38/0.56 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.38/0.56 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t19 @t18))) % 0.38/0.56 (step @p15 :rule bool-impl-elim :args (@t10 @t14)) % 0.38/0.56 (step @p16 :rule cong :premises (@p15) :args (@t15)) % 0.38/0.56 (step @p17 :rule cong :premises (@p16) :args (@t16)) % 0.38/0.56 (step @p18 :rule eq_resolve :premises (@p6 @p17)) % 0.38/0.56 (step @p19 :rule skolemize :premises (@p18)) % 0.38/0.56 (step @p20 :rule bool-double-not-elim :args (@t20)) % 0.38/0.56 (step @p21 :rule refl :args (@t26)) % 0.38/0.56 (step @p22 :rule nary_cong :premises (@p21 @p20) :args ((or @t26 (not @t25)))) % 0.38/0.56 (step @p23 :rule cnf_or_neg :args (@t26 0)) % 0.38/0.56 (step @p24 :rule eq_resolve :premises (@p23 @p22)) % 0.38/0.56 (step @p25 :rule reordering :premises (@p24) :args ((or @t20 @t26))) % 0.38/0.56 (step @p26 :rule chain_m_resolution :premises (@p25 @p19) :args (@t20 @t27 @t28)) % 0.38/0.56 (step @p27 :rule cnf_equiv_pos1 :args (@t30)) % 0.38/0.56 (step @p28 :rule reordering :premises (@p27) :args ((or @t25 @t29 (not @t30)))) % 0.38/0.56 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p14) :args (@t29 @t31 (@list @t20 @t30))) % 0.38/0.56 (step @p30 :rule instantiate :premises (@p1) :args ((@list @t19 @t21 @t33))) % 0.38/0.56 (step @p31 :rule instantiate :premises (@p13) :args ((@list @t23 @t22))) % 0.38/0.56 (step @p32 :rule cnf_or_neg :args (@t26 1)) % 0.38/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p19) :args ((not @t24) @t27 @t28)) % 0.38/0.56 (step @p34 :rule cnf_equiv_pos2 :args (@t34)) % 0.38/0.56 (step @p35 :rule reordering :premises (@p34) :args ((or @t24 @t35 (not @t34)))) % 0.38/0.56 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p31) :args (@t35 @t36 (@list @t24 @t34))) % 0.38/0.56 (step @p37 :rule skolemize :premises (@p36)) % 0.38/0.56 (step @p38 :rule bool-double-not-elim :args (@t37)) % 0.38/0.56 (step @p39 :rule refl :args (@t40)) % 0.38/0.56 (step @p40 :rule nary_cong :premises (@p39 @p38) :args ((or @t40 (not @t39)))) % 0.38/0.56 (step @p41 :rule cnf_or_neg :args (@t40 0)) % 0.38/0.56 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.38/0.56 (step @p43 :rule reordering :premises (@p42) :args ((or @t37 @t40))) % 0.38/0.56 (step @p44 :rule chain_m_resolution :premises (@p43 @p37) :args (@t37 @t27 @t41)) % 0.38/0.56 (step @p45 :rule cnf_equiv_pos1 :args (@t45)) % 0.38/0.56 (step @p46 :rule reordering :premises (@p45) :args ((or @t39 @t44 (not @t45)))) % 0.38/0.56 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p30) :args (@t44 @t31 (@list @t37 @t45))) % 0.38/0.56 (step @p48 :rule cnf_and_pos :args (@t44 0)) % 0.38/0.56 (step @p49 :rule reordering :premises (@p48) :args ((or @t43 @t46))) % 0.38/0.56 (step @p50 :rule chain_m_resolution :premises (@p49 @p47) :args (@t43 @t47 @t48)) % 0.38/0.56 (step @p51 :rule cnf_and_pos :args (@t44 1)) % 0.38/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t42 @t46))) % 0.38/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p47) :args (@t42 @t47 @t48)) % 0.38/0.56 (step @p54 :rule instantiate :premises (@p1) :args ((@list @t18 @t21 @t33))) % 0.38/0.56 (step @p55 :rule cnf_or_neg :args (@t40 1)) % 0.38/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p37) :args ((not @t38) @t27 @t41)) % 0.38/0.56 (step @p57 :rule cnf_equiv_pos2 :args (@t51)) % 0.38/0.56 (step @p58 :rule reordering :premises (@p57) :args ((or @t38 @t52 (not @t51)))) % 0.38/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p54) :args (@t52 @t36 (@list @t38 @t51))) % 0.38/0.56 (step @p60 :rule cnf_and_neg :args (@t50)) % 0.38/0.56 (step @p61 :rule reordering :premises (@p60) :args ((or @t50 (not @t42) @t53))) % 0.38/0.56 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p53) :args (@t53 @t36 (@list @t50 @t42))) % 0.38/0.56 (step @p63 :rule cnf_or_pos :args (@t55)) % 0.38/0.56 (step @p64 :rule reordering :premises (@p63) :args ((or @t49 @t54 @t56))) % 0.38/0.56 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p50) :args (@t56 @t36 (@list @t49 @t43))) % 0.38/0.56 (assume-push @p72 @t29) % 0.38/0.56 (step @p67 :rule instantiate :premises (@p29) :args ((@list @t33))) % 0.38/0.56 (step-pop @p73 :rule scope :premises (@p67)) % 0.38/0.56 (step @p68 :rule process_scope :premises (@p73) :args (@t55)) % 0.38/0.56 (step @p70 :rule implies_elim :premises (@p68)) % 0.38/0.56 (step @p71 false :rule chain_m_resolution :premises (@p70 @p65 @p29) :args (false @t36 (@list @t55 @t29))) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------