%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU140+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.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 08:50:41 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU140+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n026.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 16:32:10 EDT 2026 % 0.18/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.empty (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.empty_set $$unsorted) % 0.37/0.56 (declare-const tptp.set_intersection2 (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.in @t1 @t2)) % 0.37/0.56 (define @t4 () (@list @t1 @t2)) % 0.37/0.56 (define @t5 () (tptp.set_intersection2 @t1 @t2)) % 0.37/0.56 (define @t6 () (tptp.disjoint @t1 @t2)) % 0.37/0.56 (define @t7 () (forall @t4 (= @t6 (= @t5 tptp.empty_set)))) % 0.37/0.56 (define @t8 () (tptp.empty @t1)) % 0.37/0.56 (define @t9 () (@list @t1)) % 0.37/0.56 (define @t10 () (@var "C" $$unsorted)) % 0.37/0.56 (define @t11 () (tptp.subset (tptp.set_intersection2 @t1 @t10) (tptp.set_intersection2 @t2 @t10))) % 0.37/0.56 (define @t12 () (tptp.subset @t1 @t2)) % 0.37/0.56 (define @t13 () (@list @t1 @t2 @t10)) % 0.37/0.56 (define @t14 () (forall @t13 (=> @t12 @t11))) % 0.37/0.56 (define @t15 () (= @t1 tptp.empty_set)) % 0.37/0.56 (define @t16 () (tptp.subset @t1 tptp.empty_set)) % 0.37/0.56 (define @t17 () (forall @t9 (=> @t16 @t15))) % 0.37/0.56 (define @t18 () (tptp.disjoint @t1 @t10)) % 0.37/0.56 (define @t19 () (tptp.disjoint @t2 @t10)) % 0.37/0.56 (define @t20 () (and @t12 @t19)) % 0.37/0.56 (define @t21 () (forall @t13 (=> @t20 @t18))) % 0.37/0.56 (define @t22 () (not @t21)) % 0.37/0.56 (define @t23 () (tptp.empty @t2)) % 0.37/0.56 (define @t24 () (not @t19)) % 0.37/0.56 (define @t25 () (not @t12)) % 0.37/0.56 (define @t26 () (or @t25 @t24 @t18)) % 0.37/0.56 (define @t27 () (forall @t13 @t26)) % 0.37/0.56 (define @t28 () (@quantifiers_skolemize @t27 2)) % 0.37/0.56 (define @t29 () (@quantifiers_skolemize @t27 0)) % 0.37/0.56 (define @t30 () (tptp.set_intersection2 @t29 @t28)) % 0.37/0.56 (define @t31 () (not (tptp.subset @t30 tptp.empty_set))) % 0.37/0.56 (define @t32 () (= @t30 tptp.empty_set)) % 0.37/0.56 (define @t33 () (or @t31 @t32)) % 0.37/0.56 (define @t34 () (forall @t9 (or (not @t16) @t15))) % 0.37/0.56 (define @t35 () (= tptp.empty_set @t30)) % 0.37/0.56 (define @t36 () (or @t31 @t35)) % 0.37/0.56 (define @t37 () (@list false)) % 0.37/0.56 (define @t38 () (tptp.disjoint @t29 @t28)) % 0.37/0.56 (define @t39 () (= @t38 @t32)) % 0.37/0.56 (define @t40 () (= @t38 @t35)) % 0.37/0.56 (define @t41 () (@list @t7)) % 0.37/0.56 (define @t42 () (@quantifiers_skolemize @t27 1)) % 0.37/0.56 (define @t43 () (tptp.disjoint @t42 @t28)) % 0.37/0.56 (define @t44 () (not @t43)) % 0.37/0.56 (define @t45 () (tptp.subset @t29 @t42)) % 0.37/0.56 (define @t46 () (not @t45)) % 0.37/0.56 (define @t47 () (or @t46 @t44 @t38)) % 0.37/0.56 (define @t48 () (@list true)) % 0.37/0.56 (define @t49 () (@list @t47)) % 0.37/0.56 (define @t50 () (not @t35)) % 0.37/0.56 (define @t51 () (@list true false)) % 0.37/0.56 (define @t52 () (tptp.set_intersection2 @t42 @t28)) % 0.37/0.56 (define @t53 () (= @t43 (= @t52 tptp.empty_set))) % 0.37/0.56 (define @t54 () (= tptp.empty_set @t52)) % 0.37/0.56 (define @t55 () (= @t43 @t54)) % 0.37/0.56 (define @t56 () (@list false false)) % 0.37/0.56 (define @t57 () (tptp.subset @t30 @t52)) % 0.37/0.56 (define @t58 () (or @t46 @t57)) % 0.37/0.56 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 0.37/0.56 (assume @p2 (forall @t4 (= @t5 (tptp.set_intersection2 @t2 @t1)))) % 0.37/0.56 (assume @p3 @t7) % 0.37/0.56 (assume @p4 true) % 0.37/0.56 (assume @p5 (tptp.empty tptp.empty_set)) % 0.37/0.56 (assume @p6 (forall @t4 (= (tptp.set_intersection2 @t1 @t1) @t1))) % 0.37/0.56 (assume @p7 (exists @t9 @t8)) % 0.37/0.56 (assume @p8 (exists @t9 (not @t8))) % 0.37/0.56 (assume @p9 (forall @t4 (tptp.subset @t1 @t1))) % 0.37/0.56 (assume @p10 (forall @t4 (=> @t6 (tptp.disjoint @t2 @t1)))) % 0.37/0.56 (assume @p11 @t14) % 0.37/0.56 (assume @p12 (forall @t9 (= (tptp.set_intersection2 @t1 tptp.empty_set) tptp.empty_set))) % 0.37/0.56 (assume @p13 @t17) % 0.37/0.56 (assume @p14 @t22) % 0.37/0.56 (assume @p15 (forall @t9 (=> @t8 @t15))) % 0.37/0.56 (assume @p16 (forall @t4 (not (and @t3 @t23)))) % 0.37/0.56 (assume @p17 (forall @t4 (not (and @t8 (not (= @t1 @t2)) @t23)))) % 0.37/0.56 (step @p18 :rule evaluate :args ((= true false))) % 0.37/0.56 (step @p19 :rule bool-impl-elim :args (@t16 @t15)) % 0.37/0.56 (step @p20 :rule cong :premises (@p19) :args (@t17)) % 0.37/0.56 (step @p21 :rule eq_resolve :premises (@p13 @p20)) % 0.37/0.56 (step @p22 :rule eq-symm :args (@t30 tptp.empty_set)) % 0.37/0.56 (step @p23 :rule refl :args (@t31)) % 0.37/0.56 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t33)) % 0.37/0.56 (step @p25 :rule refl :args (@t34)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25 @p24) :args ((=> @t34 @t33))) % 0.37/0.56 (assume-push @p106 @t34) % 0.37/0.56 (step @p28 :rule instantiate :premises (@p21) :args ((@list @t30))) % 0.37/0.56 (step-pop @p107 :rule scope :premises (@p28)) % 0.37/0.56 (step @p29 :rule process_scope :premises (@p107) :args (@t33)) % 0.37/0.56 (step @p31 :rule eq_resolve :premises (@p29 @p26)) % 0.37/0.56 (step @p32 :rule implies_elim :premises (@p31)) % 0.37/0.56 (step @p33 :rule chain_m_resolution :premises (@p32 @p21) :args (@t36 @t37 (@list @t34))) % 0.37/0.56 (step @p34 :rule refl :args (@t38)) % 0.37/0.56 (step @p35 :rule cong :premises (@p34 @p22) :args (@t39)) % 0.37/0.56 (step @p36 :rule refl :args (@t7)) % 0.37/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t7 @t39))) % 0.37/0.56 (assume-push @p108 @t7) % 0.37/0.56 (step @p39 :rule instantiate :premises (@p3) :args ((@list @t29 @t28))) % 0.37/0.56 (step-pop @p109 :rule scope :premises (@p39)) % 0.37/0.56 (step @p40 :rule process_scope :premises (@p109) :args (@t39)) % 0.37/0.56 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.37/0.56 (step @p43 :rule implies_elim :premises (@p42)) % 0.37/0.56 (step @p44 :rule chain_m_resolution :premises (@p43 @p3) :args (@t40 @t37 @t41)) % 0.37/0.56 (step @p45 :rule aci_norm :args ((= (or (or @t25 @t24) @t18) @t26))) % 0.37/0.56 (step @p46 :rule refl :args (@t18)) % 0.37/0.56 (step @p47 :rule bool-and-de-morgan :args (@t12 @t19 true)) % 0.37/0.56 (step @p48 :rule nary_cong :premises (@p47 @p46) :args ((or (not @t20) @t18))) % 0.37/0.56 (step @p49 :rule trans :premises (@p48 @p45)) % 0.37/0.56 (step @p50 :rule bool-impl-elim :args (@t20 @t18)) % 0.37/0.56 (step @p51 :rule trans :premises (@p50 @p49)) % 0.37/0.56 (step @p52 :rule cong :premises (@p51) :args (@t21)) % 0.37/0.56 (step @p53 :rule cong :premises (@p52) :args (@t22)) % 0.37/0.56 (step @p54 :rule eq_resolve :premises (@p14 @p53)) % 0.37/0.56 (step @p55 :rule skolemize :premises (@p54)) % 0.37/0.56 (step @p56 :rule cnf_or_neg :args (@t47 2)) % 0.37/0.56 (step @p57 :rule chain_m_resolution :premises (@p56 @p55) :args ((not @t38) @t48 @t49)) % 0.37/0.56 (step @p58 :rule cnf_equiv_pos2 :args (@t40)) % 0.37/0.56 (step @p59 :rule reordering :premises (@p58) :args ((or @t38 @t50 (not @t40)))) % 0.37/0.56 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p44) :args (@t50 @t51 (@list @t38 @t40))) % 0.37/0.56 (step @p61 :rule cnf_or_pos :args (@t36)) % 0.37/0.56 (step @p62 :rule reordering :premises (@p61) :args ((or @t35 @t31 (not @t36)))) % 0.37/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p33) :args (@t31 @t51 (@list @t35 @t36))) % 0.37/0.56 (step @p64 :rule false_intro :premises (@p63)) % 0.37/0.56 (step @p65 :rule eq-symm :args (@t52 tptp.empty_set)) % 0.37/0.56 (step @p66 :rule refl :args (@t43)) % 0.37/0.56 (step @p67 :rule cong :premises (@p66 @p65) :args (@t53)) % 0.37/0.56 (step @p68 :rule cong :premises (@p36 @p67) :args ((=> @t7 @t53))) % 0.37/0.56 (assume-push @p110 @t7) % 0.37/0.56 (step @p70 :rule instantiate :premises (@p3) :args ((@list @t42 @t28))) % 0.37/0.56 (step-pop @p111 :rule scope :premises (@p70)) % 0.37/0.56 (step @p71 :rule process_scope :premises (@p111) :args (@t53)) % 0.37/0.56 (step @p73 :rule eq_resolve :premises (@p71 @p68)) % 0.37/0.56 (step @p74 :rule implies_elim :premises (@p73)) % 0.37/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p3) :args (@t55 @t37 @t41)) % 0.37/0.56 (step @p76 :rule bool-double-not-elim :args (@t43)) % 0.37/0.56 (step @p77 :rule refl :args (@t47)) % 0.37/0.56 (step @p78 :rule nary_cong :premises (@p77 @p76) :args ((or @t47 (not @t44)))) % 0.37/0.56 (step @p79 :rule cnf_or_neg :args (@t47 1)) % 0.37/0.56 (step @p80 :rule eq_resolve :premises (@p79 @p78)) % 0.37/0.56 (step @p81 :rule reordering :premises (@p80) :args ((or @t43 @t47))) % 0.37/0.56 (step @p82 :rule chain_m_resolution :premises (@p81 @p55) :args (@t43 @t48 @t49)) % 0.37/0.56 (step @p83 :rule cnf_equiv_pos1 :args (@t55)) % 0.37/0.56 (step @p84 :rule reordering :premises (@p83) :args ((or @t44 @t54 (not @t55)))) % 0.37/0.56 (step @p85 :rule chain_m_resolution :premises (@p84 @p82 @p75) :args (@t54 @t56 (@list @t43 @t55))) % 0.37/0.56 (step @p86 :rule symm :premises (@p85)) % 0.37/0.56 (step @p87 :rule refl :args (@t30)) % 0.37/0.56 (step @p88 :rule cong :premises (@p87 @p86) :args (@t57)) % 0.37/0.56 (step @p89 :rule bool-impl-elim :args (@t12 @t11)) % 0.37/0.56 (step @p90 :rule cong :premises (@p89) :args (@t14)) % 0.37/0.56 (step @p91 :rule eq_resolve :premises (@p11 @p90)) % 0.37/0.56 (step @p92 :rule instantiate :premises (@p91) :args ((@list @t29 @t42 @t28))) % 0.37/0.56 (step @p93 :rule bool-double-not-elim :args (@t45)) % 0.37/0.56 (step @p94 :rule nary_cong :premises (@p77 @p93) :args ((or @t47 (not @t46)))) % 0.37/0.56 (step @p95 :rule cnf_or_neg :args (@t47 0)) % 0.37/0.56 (step @p96 :rule eq_resolve :premises (@p95 @p94)) % 0.37/0.56 (step @p97 :rule reordering :premises (@p96) :args ((or @t45 @t47))) % 0.37/0.56 (step @p98 :rule chain_m_resolution :premises (@p97 @p55) :args (@t45 @t48 @t49)) % 0.37/0.57 (step @p99 :rule cnf_or_pos :args (@t58)) % 0.37/0.57 (step @p100 :rule reordering :premises (@p99) :args ((or @t46 @t57 (not @t58)))) % 0.37/0.57 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p92) :args (@t57 @t56 (@list @t45 @t58))) % 0.37/0.57 (step @p102 :rule true_intro :premises (@p101)) % 0.37/0.57 (step @p103 :rule symm :premises (@p102)) % 0.37/0.57 (step @p104 :rule trans :premises (@p103 @p88 @p64)) % 0.37/0.57 (step @p105 false :rule eq_resolve :premises (@p104 @p18)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------