%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET616+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 : n018.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 08:48:15 AM UTC 2026 % Result : Theorem 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET616+3 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n018.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:04:50 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Theorem % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.59 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.59 (define @t3 () (= @t2 @t1)) % 0.38/0.59 (define @t4 () (@var "D" $$unsorted)) % 0.38/0.59 (define @t5 () (tptp.member @t4 @t1)) % 0.38/0.59 (define @t6 () (tptp.member @t4 @t2)) % 0.38/0.59 (define @t7 () (@list @t4)) % 0.38/0.59 (define @t8 () (forall @t7 (= @t6 @t5))) % 0.38/0.59 (define @t9 () (@list @t2 @t1)) % 0.38/0.59 (define @t10 () (forall @t9 (=> @t8 @t3))) % 0.38/0.59 (define @t11 () (tptp.difference @t2 @t1)) % 0.38/0.59 (define @t12 () (tptp.subset @t2 @t1)) % 0.38/0.59 (define @t13 () (= @t11 (tptp.difference @t1 @t2))) % 0.38/0.59 (define @t14 () (forall @t9 (=> @t13 @t3))) % 0.38/0.59 (define @t15 () (not @t14)) % 0.38/0.59 (define @t16 () (forall @t9 (or (not @t13) @t3))) % 0.38/0.59 (define @t17 () (@quantifiers_skolemize @t16 0)) % 0.38/0.59 (define @t18 () (@quantifiers_skolemize @t16 1)) % 0.38/0.59 (define @t19 () (tptp.difference @t18 @t17)) % 0.38/0.59 (define @t20 () (tptp.difference @t17 @t18)) % 0.38/0.59 (define @t21 () (= @t20 @t19)) % 0.38/0.59 (define @t22 () (= @t17 @t18)) % 0.38/0.59 (define @t23 () (not @t21)) % 0.38/0.59 (define @t24 () (or @t23 @t22)) % 0.38/0.59 (define @t25 () (@list true)) % 0.38/0.59 (define @t26 () (@list @t24)) % 0.38/0.59 (define @t27 () (forall @t7 (= (tptp.member @t4 @t17) (tptp.member @t4 @t18)))) % 0.38/0.59 (define @t28 () (@quantifiers_skolemize @t27 0)) % 0.38/0.59 (define @t29 () (not @t27)) % 0.38/0.59 (define @t30 () (or @t29 @t22)) % 0.38/0.59 (define @t31 () (@list true false)) % 0.38/0.59 (define @t32 () (tptp.member @t28 @t18)) % 0.38/0.59 (define @t33 () (tptp.member @t28 @t17)) % 0.38/0.59 (define @t34 () (= @t33 @t32)) % 0.38/0.59 (define @t35 () (not @t32)) % 0.38/0.59 (define @t36 () (and @t33 @t35)) % 0.38/0.59 (define @t37 () (not @t36)) % 0.38/0.59 (define @t38 () (not @t33)) % 0.38/0.59 (define @t39 () (and @t32 @t38)) % 0.38/0.59 (define @t40 () (tptp.member @t28 @t20)) % 0.38/0.59 (define @t41 () (= @t40 @t36)) % 0.38/0.59 (define @t42 () (not @t41)) % 0.38/0.59 (define @t43 () (not @t40)) % 0.38/0.59 (define @t44 () (tptp.member @t28 @t19)) % 0.38/0.59 (define @t45 () (= @t44 @t39)) % 0.38/0.59 (define @t46 () (not @t45)) % 0.38/0.59 (define @t47 () (not @t39)) % 0.38/0.59 (define @t48 () (not @t44)) % 0.38/0.59 (define @t49 () (and @t21 @t43)) % 0.38/0.59 (define @t50 () (and @t21 @t48)) % 0.38/0.59 (assume @p1 @t10) % 0.38/0.59 (assume @p2 (forall (@list @t2 @t1 @t4) (= (tptp.member @t4 @t11) (and @t6 (not @t5))))) % 0.38/0.59 (assume @p3 (forall @t9 (= @t3 (and @t12 (tptp.subset @t1 @t2))))) % 0.38/0.59 (assume @p4 (forall @t9 (= @t3 @t8))) % 0.38/0.59 (assume @p5 (forall @t9 (= @t12 (forall @t7 (=> @t6 @t5))))) % 0.38/0.59 (assume @p6 (forall (@list @t2) (tptp.subset @t2 @t2))) % 0.38/0.59 (assume @p7 @t15) % 0.38/0.59 (assume @p8 true) % 0.38/0.59 (step @p9 :rule bool-impl-elim :args (@t13 @t3)) % 0.38/0.59 (step @p10 :rule cong :premises (@p9) :args (@t14)) % 0.38/0.59 (step @p11 :rule cong :premises (@p10) :args (@t15)) % 0.38/0.59 (step @p12 :rule eq_resolve :premises (@p7 @p11)) % 0.38/0.59 (step @p13 :rule skolemize :premises (@p12)) % 0.38/0.59 (step @p14 :rule bool-double-not-elim :args (@t21)) % 0.38/0.59 (step @p15 :rule refl :args (@t24)) % 0.38/0.59 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t24 (not @t23)))) % 0.38/0.59 (step @p17 :rule cnf_or_neg :args (@t24 0)) % 0.38/0.59 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.38/0.59 (step @p19 :rule reordering :premises (@p18) :args ((or @t21 @t24))) % 0.38/0.59 (step @p20 :rule chain_m_resolution :premises (@p19 @p13) :args (@t21 @t25 @t26)) % 0.38/0.59 (step @p21 :rule instantiate :premises (@p2) :args ((@list @t18 @t17 @t28))) % 0.38/0.59 (step @p22 :rule bool-impl-elim :args (@t8 @t3)) % 0.38/0.59 (step @p23 :rule cong :premises (@p22) :args (@t10)) % 0.38/0.59 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.38/0.59 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t17 @t18))) % 0.38/0.59 (step @p26 :rule cnf_or_neg :args (@t24 1)) % 0.38/0.59 (step @p27 :rule chain_m_resolution :premises (@p26 @p13) :args ((not @t22) @t25 @t26)) % 0.38/0.59 (step @p28 :rule cnf_or_pos :args (@t30)) % 0.38/0.59 (step @p29 :rule reordering :premises (@p28) :args ((or @t22 @t29 (not @t30)))) % 0.38/0.59 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p25) :args (@t29 @t31 (@list @t22 @t30))) % 0.38/0.59 (step @p31 :rule skolemize :premises (@p30)) % 0.38/0.59 (step @p32 :rule cnf_equiv_neg1 :args (@t34)) % 0.38/0.59 (step @p33 :rule reordering :premises (@p32) :args ((or @t33 @t32 @t34))) % 0.38/0.59 (step @p34 :rule cnf_and_pos :args (@t36 0)) % 0.38/0.59 (step @p35 :rule reordering :premises (@p34) :args ((or @t33 @t37))) % 0.38/0.59 (step @p36 :rule bool-double-not-elim :args (@t33)) % 0.38/0.59 (step @p37 :rule refl :args (@t35)) % 0.38/0.59 (step @p38 :rule refl :args (@t39)) % 0.38/0.59 (step @p39 :rule nary_cong :premises (@p38 @p37 @p36) :args ((or @t39 @t35 (not @t38)))) % 0.38/0.59 (step @p40 :rule cnf_and_neg :args (@t39)) % 0.38/0.59 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.38/0.59 (step @p42 :rule reordering :premises (@p41) :args ((or @t33 @t35 @t39))) % 0.38/0.59 (step @p43 :rule instantiate :premises (@p2) :args ((@list @t17 @t18 @t28))) % 0.38/0.59 (step @p44 :rule cnf_equiv_pos1 :args (@t41)) % 0.38/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t36 @t43 @t42))) % 0.38/0.59 (step @p46 :rule cnf_equiv_pos2 :args (@t45)) % 0.38/0.59 (step @p47 :rule reordering :premises (@p46) :args ((or @t44 @t47 @t46))) % 0.38/0.59 (step @p48 :rule refl :args (@t48)) % 0.38/0.59 (step @p49 :rule bool-double-not-elim :args (@t40)) % 0.38/0.59 (step @p50 :rule refl :args (@t23)) % 0.38/0.59 (step @p51 :rule nary_cong :premises (@p50 @p49 @p48) :args ((or @t23 (not @t43) @t48))) % 0.38/0.59 (assume-push @p119 @t21) % 0.38/0.59 (assume-push @p120 @t43) % 0.38/0.59 (assume-push @p121 @t43) % 0.38/0.59 (assume-push @p122 @t21) % 0.38/0.59 (step @p56 :rule false_intro :premises (@p120)) % 0.38/0.59 (step @p57 :rule symm :premises (@p20)) % 0.38/0.59 (step @p58 :rule refl :args (@t28)) % 0.38/0.59 (step @p59 :rule cong :premises (@p58 @p57) :args (@t44)) % 0.38/0.59 (step @p60 :rule trans :premises (@p59 @p56)) % 0.38/0.59 (step @p61 :rule false_elim :premises (@p60)) % 0.38/0.59 (step-pop @p123 :rule scope :premises (@p61)) % 0.38/0.59 (step-pop @p124 :rule scope :premises (@p123)) % 0.38/0.59 (step @p62 :rule process_scope :premises (@p124) :args (@t48)) % 0.38/0.59 (step @p65 :rule and_intro :premises (@p120 @p20)) % 0.38/0.59 (step @p66 :rule modus_ponens :premises (@p65 @p62)) % 0.38/0.59 (step-pop @p125 :rule scope :premises (@p66)) % 0.38/0.59 (step-pop @p126 :rule scope :premises (@p125)) % 0.38/0.59 (step @p67 :rule process_scope :premises (@p126) :args (@t48)) % 0.38/0.59 (step @p70 :rule implies_elim :premises (@p67)) % 0.38/0.59 (step @p71 :rule cnf_and_neg :args (@t49)) % 0.38/0.59 (step @p72 :rule resolution :premises (@p71 @p70) :args (true @t49)) % 0.38/0.59 (step @p73 :rule eq_resolve :premises (@p72 @p51)) % 0.38/0.59 (step @p74 :rule chain_m_resolution :premises (@p73 @p20 @p47 @p21 @p45 @p43 @p42 @p35 @p33 @p31) :args (@t33 (@list false false false true false false true false true) (@list @t21 @t44 @t45 @t40 @t41 @t39 @t36 @t32 @t34))) % 0.38/0.59 (step @p75 :rule cnf_and_pos :args (@t39 1)) % 0.38/0.59 (step @p76 :rule reordering :premises (@p75) :args ((or @t38 @t47))) % 0.38/0.59 (step @p77 :rule chain_m_resolution :premises (@p76 @p74) :args (@t47 (@list false) (@list @t33))) % 0.38/0.59 (step @p78 :rule cnf_equiv_pos1 :args (@t45)) % 0.38/0.59 (step @p79 :rule reordering :premises (@p78) :args ((or @t39 @t48 @t46))) % 0.38/0.59 (step @p80 :rule chain_m_resolution :premises (@p79 @p77 @p21) :args (@t48 @t31 (@list @t39 @t45))) % 0.38/0.59 (step @p81 :rule cnf_equiv_neg2 :args (@t34)) % 0.38/0.59 (step @p82 :rule chain_m_resolution :premises (@p81 @p31 @p74) :args (@t35 @t31 (@list @t34 @t33))) % 0.38/0.59 (step @p83 :rule bool-double-not-elim :args (@t32)) % 0.38/0.59 (step @p84 :rule refl :args (@t38)) % 0.38/0.59 (step @p85 :rule refl :args (@t36)) % 0.38/0.59 (step @p86 :rule nary_cong :premises (@p85 @p84 @p83) :args ((or @t36 @t38 (not @t35)))) % 0.38/0.59 (step @p87 :rule cnf_and_neg :args (@t36)) % 0.38/0.59 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.38/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t32 @t38 @t36))) % 0.38/0.59 (step @p90 :rule chain_m_resolution :premises (@p89 @p82 @p74) :args (@t36 @t31 (@list @t32 @t33))) % 0.38/0.59 (step @p91 :rule cnf_equiv_pos2 :args (@t41)) % 0.38/0.59 (step @p92 :rule reordering :premises (@p91) :args ((or @t40 @t37 @t42))) % 0.38/0.59 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p43) :args (@t40 (@list false false) (@list @t36 @t41))) % 0.38/0.59 (step @p94 :rule refl :args (@t43)) % 0.38/0.59 (step @p95 :rule bool-double-not-elim :args (@t44)) % 0.38/0.59 (step @p96 :rule nary_cong :premises (@p50 @p95 @p94) :args ((or @t23 (not @t48) @t43))) % 0.38/0.59 (assume-push @p127 @t21) % 0.38/0.59 (assume-push @p128 @t48) % 0.38/0.59 (assume-push @p129 @t48) % 0.38/0.59 (assume-push @p130 @t21) % 0.38/0.59 (step @p101 :rule false_intro :premises (@p128)) % 0.38/0.59 (step @p58 :rule refl :args (@t28)) % 0.38/0.59 (step @p102 :rule cong :premises (@p58 @p20) :args (@t40)) % 0.38/0.59 (step @p103 :rule trans :premises (@p102 @p101)) % 0.38/0.59 (step @p104 :rule false_elim :premises (@p103)) % 0.38/0.59 (step-pop @p131 :rule scope :premises (@p104)) % 0.38/0.59 (step-pop @p132 :rule scope :premises (@p131)) % 0.38/0.59 (step @p105 :rule process_scope :premises (@p132) :args (@t43)) % 0.38/0.59 (step @p108 :rule and_intro :premises (@p128 @p20)) % 0.38/0.59 (step @p109 :rule modus_ponens :premises (@p108 @p105)) % 0.38/0.59 (step-pop @p133 :rule scope :premises (@p109)) % 0.38/0.59 (step-pop @p134 :rule scope :premises (@p133)) % 0.38/0.59 (step @p110 :rule process_scope :premises (@p134) :args (@t43)) % 0.38/0.59 (step @p113 :rule implies_elim :premises (@p110)) % 0.38/0.59 (step @p114 :rule cnf_and_neg :args (@t50)) % 0.38/0.59 (step @p115 :rule resolution :premises (@p114 @p113) :args (true @t50)) % 0.38/0.59 (step @p116 :rule eq_resolve :premises (@p115 @p96)) % 0.38/0.59 (step @p117 :rule reordering :premises (@p116) :args ((or @t23 @t43 @t44))) % 0.38/0.59 (step @p118 false :rule chain_m_resolution :premises (@p117 @p93 @p80 @p20) :args (false (@list false true false) (@list @t40 @t44 @t21))) % 0.38/0.59 ) % 0.38/0.59 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------