%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU264+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 : 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 08:51:10 AM UTC 2026 % Result : Theorem 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SEU264+1 : TPTP v9.2.1. Released v3.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:49:25 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Theorem % 0.38/0.57 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.relation_dom (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.relation_rng (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.relation_of2 (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.element (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.powerset (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.relation_of2_as_subset (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.cartesian_product2 (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.relation (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t4 () (tptp.element @t1 (tptp.powerset (tptp.cartesian_product2 @t3 @t2)))) % 0.38/0.57 (define @t5 () (@list @t3 @t2 @t1)) % 0.38/0.57 (define @t6 () (tptp.relation_of2_as_subset @t1 @t3 @t2)) % 0.38/0.57 (define @t7 () (tptp.relation_of2 @t1 @t3 @t2)) % 0.38/0.57 (define @t8 () (@list @t1)) % 0.38/0.57 (define @t9 () (@list @t3 @t2)) % 0.38/0.57 (define @t10 () (and (tptp.subset (tptp.relation_dom @t1) @t3) (tptp.subset (tptp.relation_rng @t1) @t2))) % 0.38/0.57 (define @t11 () (forall @t5 (=> @t6 @t10))) % 0.38/0.57 (define @t12 () (@var "D" $$unsorted)) % 0.38/0.57 (define @t13 () (tptp.relation_of2_as_subset @t12 @t1 @t2)) % 0.38/0.57 (define @t14 () (tptp.subset (tptp.relation_rng @t12) @t2)) % 0.38/0.57 (define @t15 () (=> @t14 @t13)) % 0.38/0.57 (define @t16 () (tptp.relation_of2_as_subset @t12 @t1 @t3)) % 0.38/0.57 (define @t17 () (@list @t3 @t2 @t1 @t12)) % 0.38/0.57 (define @t18 () (forall @t17 (=> @t16 @t15))) % 0.38/0.57 (define @t19 () (tptp.subset @t3 @t2)) % 0.38/0.57 (define @t20 () (=> @t19 @t13)) % 0.38/0.57 (define @t21 () (forall @t17 (=> @t16 @t20))) % 0.38/0.57 (define @t22 () (not @t21)) % 0.38/0.57 (define @t23 () (tptp.subset @t3 @t1)) % 0.38/0.57 (define @t24 () (tptp.subset @t2 @t1)) % 0.38/0.57 (define @t25 () (and @t19 @t24)) % 0.38/0.57 (define @t26 () (forall @t5 (=> @t25 @t23))) % 0.38/0.57 (define @t27 () (not @t14)) % 0.38/0.57 (define @t28 () (not @t16)) % 0.38/0.57 (define @t29 () (or @t28 @t27 @t13)) % 0.38/0.57 (define @t30 () (not @t24)) % 0.38/0.57 (define @t31 () (not @t19)) % 0.38/0.57 (define @t32 () (or @t28 @t31 @t13)) % 0.38/0.57 (define @t33 () (forall @t17 @t32)) % 0.38/0.57 (define @t34 () (@quantifiers_skolemize @t33 1)) % 0.38/0.57 (define @t35 () (@quantifiers_skolemize @t33 0)) % 0.38/0.57 (define @t36 () (@quantifiers_skolemize @t33 3)) % 0.38/0.57 (define @t37 () (tptp.relation_rng @t36)) % 0.38/0.57 (define @t38 () (@quantifiers_skolemize @t33 2)) % 0.38/0.57 (define @t39 () (tptp.relation_of2_as_subset @t36 @t38 @t35)) % 0.38/0.57 (define @t40 () (tptp.relation_of2_as_subset @t36 @t38 @t34)) % 0.38/0.57 (define @t41 () (tptp.subset @t35 @t34)) % 0.38/0.57 (define @t42 () (not @t41)) % 0.38/0.57 (define @t43 () (not @t39)) % 0.38/0.57 (define @t44 () (or @t43 @t42 @t40)) % 0.38/0.57 (define @t45 () (@list true)) % 0.38/0.57 (define @t46 () (@list @t44)) % 0.38/0.57 (define @t47 () (tptp.subset @t37 @t35)) % 0.38/0.57 (define @t48 () (and (tptp.subset (tptp.relation_dom @t36) @t38) @t47)) % 0.38/0.57 (define @t49 () (or @t43 @t48)) % 0.38/0.57 (define @t50 () (tptp.subset @t37 @t34)) % 0.38/0.57 (define @t51 () (not @t47)) % 0.38/0.57 (define @t52 () (or @t51 @t42 @t50)) % 0.38/0.57 (define @t53 () (not @t50)) % 0.38/0.57 (define @t54 () (or @t43 @t53 @t40)) % 0.38/0.57 (define @t55 () (not @t54)) % 0.38/0.57 (define @t56 () (forall @t17 @t29)) % 0.38/0.57 (assume @p1 (forall @t5 (=> @t4 (tptp.relation @t1)))) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (assume @p3 (forall @t5 (=> @t6 @t4))) % 0.38/0.57 (assume @p4 (forall @t9 (exists @t8 @t7))) % 0.38/0.57 (assume @p5 (forall (@list @t3) (exists (@list @t2) (tptp.element @t2 @t3)))) % 0.38/0.57 (assume @p6 (forall @t9 (exists @t8 @t6))) % 0.38/0.57 (assume @p7 (forall @t5 (= @t6 @t7))) % 0.38/0.57 (assume @p8 (forall @t9 (tptp.subset @t3 @t3))) % 0.38/0.57 (assume @p9 @t11) % 0.38/0.57 (assume @p10 @t18) % 0.38/0.57 (assume @p11 @t22) % 0.38/0.57 (assume @p12 @t26) % 0.38/0.57 (assume @p13 (forall @t9 (= (tptp.element @t3 (tptp.powerset @t2)) @t19))) % 0.38/0.57 (step @p14 :rule aci_norm :args ((= (or @t28 (or @t27 @t13)) @t29))) % 0.38/0.57 (step @p15 :rule bool-impl-elim :args (@t14 @t13)) % 0.38/0.57 (step @p16 :rule refl :args (@t28)) % 0.38/0.57 (step @p17 :rule nary_cong :premises (@p16 @p15) :args ((or @t28 @t15))) % 0.38/0.57 (step @p18 :rule trans :premises (@p17 @p14)) % 0.38/0.57 (step @p19 :rule bool-impl-elim :args (@t16 @t15)) % 0.38/0.57 (step @p20 :rule trans :premises (@p19 @p18)) % 0.38/0.57 (step @p21 :rule cong :premises (@p20) :args (@t18)) % 0.38/0.57 (step @p22 :rule eq_resolve :premises (@p10 @p21)) % 0.38/0.57 (step @p23 :rule aci_norm :args ((= (or (or @t31 @t30) @t23) (or @t31 @t30 @t23)))) % 0.38/0.57 (step @p24 :rule refl :args (@t23)) % 0.38/0.57 (step @p25 :rule bool-and-de-morgan :args (@t19 @t24 true)) % 0.38/0.57 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or (not @t25) @t23))) % 0.38/0.57 (step @p27 :rule trans :premises (@p26 @p23)) % 0.38/0.57 (step @p28 :rule bool-impl-elim :args (@t25 @t23)) % 0.38/0.57 (step @p29 :rule trans :premises (@p28 @p27)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29) :args (@t26)) % 0.38/0.57 (step @p31 :rule eq_resolve :premises (@p12 @p30)) % 0.38/0.57 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t37 @t35 @t34))) % 0.38/0.57 (step @p33 :rule bool-impl-elim :args (@t6 @t10)) % 0.38/0.57 (step @p34 :rule cong :premises (@p33) :args (@t11)) % 0.38/0.57 (step @p35 :rule eq_resolve :premises (@p9 @p34)) % 0.38/0.57 (step @p36 :rule instantiate :premises (@p35) :args ((@list @t38 @t35 @t36))) % 0.38/0.57 (step @p37 :rule aci_norm :args ((= (or @t28 (or @t31 @t13)) @t32))) % 0.38/0.57 (step @p38 :rule bool-impl-elim :args (@t19 @t13)) % 0.38/0.57 (step @p39 :rule nary_cong :premises (@p16 @p38) :args ((or @t28 @t20))) % 0.38/0.57 (step @p40 :rule trans :premises (@p39 @p37)) % 0.38/0.57 (step @p41 :rule bool-impl-elim :args (@t16 @t20)) % 0.38/0.57 (step @p42 :rule trans :premises (@p41 @p40)) % 0.38/0.57 (step @p43 :rule cong :premises (@p42) :args (@t21)) % 0.38/0.57 (step @p44 :rule cong :premises (@p43) :args (@t22)) % 0.38/0.57 (step @p45 :rule eq_resolve :premises (@p11 @p44)) % 0.38/0.57 (step @p46 :rule skolemize :premises (@p45)) % 0.38/0.57 (step @p47 :rule bool-double-not-elim :args (@t39)) % 0.38/0.57 (step @p48 :rule refl :args (@t44)) % 0.38/0.57 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or @t44 (not @t43)))) % 0.38/0.57 (step @p50 :rule cnf_or_neg :args (@t44 0)) % 0.38/0.57 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.38/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or @t39 @t44))) % 0.38/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p46) :args (@t39 @t45 @t46)) % 0.38/0.57 (step @p54 :rule cnf_or_pos :args (@t49)) % 0.38/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t43 @t48 (not @t49)))) % 0.38/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p36) :args (@t48 (@list false false) (@list @t39 @t49))) % 0.38/0.57 (step @p57 :rule cnf_and_pos :args (@t48 1)) % 0.38/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t47 (not @t48)))) % 0.38/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p56) :args (@t47 (@list false) (@list @t48))) % 0.38/0.57 (step @p60 :rule bool-double-not-elim :args (@t41)) % 0.38/0.57 (step @p61 :rule nary_cong :premises (@p48 @p60) :args ((or @t44 (not @t42)))) % 0.38/0.57 (step @p62 :rule cnf_or_neg :args (@t44 1)) % 0.38/0.57 (step @p63 :rule eq_resolve :premises (@p62 @p61)) % 0.38/0.57 (step @p64 :rule reordering :premises (@p63) :args ((or @t41 @t44))) % 0.38/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p46) :args (@t41 @t45 @t46)) % 0.38/0.57 (step @p66 :rule cnf_or_pos :args (@t52)) % 0.38/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t42 @t51 @t50 (not @t52)))) % 0.38/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p59 @p32) :args (@t50 (@list false false false) (@list @t41 @t47 @t52))) % 0.38/0.57 (step @p69 :rule cnf_or_neg :args (@t44 2)) % 0.38/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p46) :args ((not @t40) @t45 @t46)) % 0.38/0.57 (step @p71 :rule cnf_or_pos :args (@t54)) % 0.38/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t43 @t40 @t53 @t55))) % 0.38/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p53 @p70 @p68) :args (@t55 (@list false true false) (@list @t39 @t40 @t50))) % 0.38/0.57 (assume-push @p80 @t56) % 0.38/0.57 (step @p75 :rule instantiate :premises (@p22) :args ((@list @t35 @t34 @t38 @t36))) % 0.38/0.57 (step-pop @p81 :rule scope :premises (@p75)) % 0.38/0.57 (step @p76 :rule process_scope :premises (@p81) :args (@t54)) % 0.38/0.57 (step @p78 :rule implies_elim :premises (@p76)) % 0.38/0.57 (step @p79 false :rule chain_m_resolution :premises (@p78 @p73 @p22) :args (false (@list true false) (@list @t54 @t56))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------