%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEU162+1 : TPTP v9.2.1. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:50:47 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 % 0.13/0.13 % Problem : SEU162+1 : TPTP v9.2.1. Released v3.3.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n006.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 16:33:04 EDT 2026 % 0.18/0.35 % CPUTime : % 0.27/0.51 %----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 $$unsorted 0) % 0.38/0.57 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 0.38/0.57 (define @t1 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t3 () (not (tptp.in @t2 @t1))) % 0.38/0.57 (define @t4 () (tptp.in @t1 @t2)) % 0.38/0.57 (define @t5 () (@list @t1 @t2)) % 0.38/0.57 (define @t6 () (tptp.disjoint (tptp.singleton @t1) @t2)) % 0.38/0.57 (define @t7 () (forall @t5 (not (and @t6 @t4)))) % 0.38/0.57 (define @t8 () (not @t4)) % 0.38/0.57 (define @t9 () (forall @t5 (=> @t8 @t6))) % 0.38/0.57 (define @t10 () (tptp.disjoint @t2 @t1)) % 0.38/0.57 (define @t11 () (tptp.disjoint @t1 @t2)) % 0.38/0.57 (define @t12 () (forall @t5 (=> @t11 @t10))) % 0.38/0.57 (define @t13 () (tptp.set_difference @t1 (tptp.singleton @t2))) % 0.38/0.57 (define @t14 () (= @t13 @t1)) % 0.38/0.57 (define @t15 () (forall @t5 (= @t14 @t3))) % 0.38/0.57 (define @t16 () (not @t15)) % 0.38/0.57 (define @t17 () (tptp.set_difference @t1 @t2)) % 0.38/0.57 (define @t18 () (= @t11 (= @t17 @t1))) % 0.38/0.57 (define @t19 () (forall @t5 @t18)) % 0.38/0.57 (define @t20 () (forall @t5 (= @t3 (= @t1 @t13)))) % 0.38/0.57 (define @t21 () (@quantifiers_skolemize @t20 0)) % 0.38/0.57 (define @t22 () (@quantifiers_skolemize @t20 1)) % 0.38/0.57 (define @t23 () (@list @t22 @t21)) % 0.38/0.57 (define @t24 () (tptp.singleton @t22)) % 0.38/0.57 (define @t25 () (tptp.disjoint @t24 @t21)) % 0.38/0.57 (define @t26 () (tptp.in @t22 @t21)) % 0.38/0.57 (define @t27 () (or @t26 @t25)) % 0.38/0.57 (define @t28 () (@list @t21 @t24)) % 0.38/0.57 (define @t29 () (tptp.disjoint @t21 @t24)) % 0.38/0.57 (define @t30 () (not @t29)) % 0.38/0.57 (define @t31 () (or @t30 @t25)) % 0.38/0.57 (define @t32 () (= @t21 (tptp.set_difference @t21 @t24))) % 0.38/0.57 (define @t33 () (not @t26)) % 0.38/0.57 (define @t34 () (= @t33 @t32)) % 0.38/0.57 (define @t35 () (forall @t5 (= @t11 (= @t1 @t17)))) % 0.38/0.57 (define @t36 () (= @t29 @t32)) % 0.38/0.57 (define @t37 () (= @t32 @t29)) % 0.38/0.57 (define @t38 () (not @t37)) % 0.38/0.57 (define @t39 () (not @t32)) % 0.38/0.57 (define @t40 () (not @t25)) % 0.38/0.57 (define @t41 () (or @t40 @t33)) % 0.38/0.57 (define @t42 () (@list true false)) % 0.38/0.57 (define @t43 () (or @t40 @t29)) % 0.38/0.57 (define @t44 () (not @t43)) % 0.38/0.57 (define @t45 () (forall @t5 (or (not @t11) @t10))) % 0.38/0.57 (assume @p1 (forall @t5 (=> @t4 @t3))) % 0.38/0.57 (assume @p2 true) % 0.38/0.57 (assume @p3 @t7) % 0.38/0.57 (assume @p4 @t9) % 0.38/0.57 (assume @p5 @t12) % 0.38/0.57 (assume @p6 @t16) % 0.38/0.57 (assume @p7 @t19) % 0.38/0.57 (step @p8 :rule bool-impl-elim :args (@t11 @t10)) % 0.38/0.57 (step @p9 :rule cong :premises (@p8) :args (@t12)) % 0.38/0.57 (step @p10 :rule eq_resolve :premises (@p5 @p9)) % 0.38/0.57 (step @p11 :rule refl :args (@t6)) % 0.38/0.57 (step @p12 :rule bool-double-not-elim :args (@t4)) % 0.38/0.57 (step @p13 :rule nary_cong :premises (@p12 @p11) :args ((or (not @t8) @t6))) % 0.38/0.57 (step @p14 :rule bool-impl-elim :args (@t8 @t6)) % 0.38/0.57 (step @p15 :rule trans :premises (@p14 @p13)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.38/0.57 (step @p17 :rule eq_resolve :premises (@p4 @p16)) % 0.38/0.57 (step @p18 :rule instantiate :premises (@p17) :args (@t23)) % 0.38/0.57 (step @p19 :rule cnf_or_pos :args (@t27)) % 0.38/0.57 (step @p20 :rule reordering :premises (@p19) :args ((or @t26 @t25 (not @t27)))) % 0.38/0.57 (step @p21 :rule instantiate :premises (@p10) :args (@t28)) % 0.38/0.57 (step @p22 :rule cnf_or_pos :args (@t31)) % 0.38/0.57 (step @p23 :rule reordering :premises (@p22) :args ((or @t25 @t30 (not @t31)))) % 0.38/0.57 (step @p24 :rule eq-symm :args (@t13 @t1)) % 0.38/0.57 (step @p25 :rule refl :args (@t3)) % 0.38/0.57 (step @p26 :rule cong :premises (@p25 @p24) :args ((= @t3 @t14))) % 0.38/0.57 (step @p27 :rule eq-symm :args (@t14 @t3)) % 0.38/0.57 (step @p28 :rule trans :premises (@p27 @p26)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28) :args (@t15)) % 0.38/0.57 (step @p30 :rule cong :premises (@p29) :args (@t16)) % 0.38/0.57 (step @p31 :rule eq_resolve :premises (@p6 @p30)) % 0.38/0.57 (step @p32 :rule skolemize :premises (@p31)) % 0.38/0.57 (step @p33 :rule cnf_equiv_neg1 :args (@t34)) % 0.38/0.57 (step @p34 :rule reordering :premises (@p33) :args ((or @t33 @t32 @t34))) % 0.38/0.57 (step @p35 :rule eq-symm :args (@t17 @t1)) % 0.38/0.57 (step @p36 :rule refl :args (@t11)) % 0.38/0.57 (step @p37 :rule cong :premises (@p36 @p35) :args (@t18)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t19)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p7 @p38)) % 0.38/0.57 (step @p40 :rule eq-symm :args (@t29 @t32)) % 0.38/0.57 (step @p41 :rule refl :args (@t35)) % 0.38/0.57 (step @p42 :rule cong :premises (@p41 @p40) :args ((=> @t35 @t36))) % 0.38/0.57 (assume-push @p80 @t35) % 0.38/0.57 (step @p44 :rule instantiate :premises (@p39) :args (@t28)) % 0.38/0.57 (step-pop @p81 :rule scope :premises (@p44)) % 0.38/0.57 (step @p45 :rule process_scope :premises (@p81) :args (@t36)) % 0.38/0.57 (step @p47 :rule eq_resolve :premises (@p45 @p42)) % 0.38/0.57 (step @p48 :rule implies_elim :premises (@p47)) % 0.38/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p39) :args (@t37 (@list false) (@list @t35))) % 0.38/0.57 (step @p50 :rule cnf_equiv_pos1 :args (@t37)) % 0.38/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t39 @t29 @t38))) % 0.38/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p34 @p32 @p23 @p21 @p20 @p18) :args (@t25 (@list false false true true false false false) (@list @t37 @t32 @t34 @t29 @t31 @t26 @t27))) % 0.38/0.57 (step @p53 :rule bool-and-de-morgan :args (@t6 @t4 true)) % 0.38/0.57 (step @p54 :rule cong :premises (@p53) :args (@t7)) % 0.38/0.57 (step @p55 :rule eq_resolve :premises (@p3 @p54)) % 0.38/0.57 (step @p56 :rule instantiate :premises (@p55) :args (@t23)) % 0.38/0.57 (step @p57 :rule cnf_or_pos :args (@t41)) % 0.38/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t33 @t40 (not @t41)))) % 0.38/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p52 @p56) :args (@t33 (@list false false) (@list @t25 @t41))) % 0.38/0.57 (step @p60 :rule refl :args (@t39)) % 0.38/0.57 (step @p61 :rule bool-double-not-elim :args (@t26)) % 0.38/0.57 (step @p62 :rule refl :args (@t34)) % 0.38/0.57 (step @p63 :rule nary_cong :premises (@p62 @p61 @p60) :args ((or @t34 (not @t33) @t39))) % 0.38/0.57 (step @p64 :rule cnf_equiv_neg2 :args (@t34)) % 0.38/0.57 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.38/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t26 @t34 @t39))) % 0.38/0.57 (step @p67 :rule chain_m_resolution :premises (@p66 @p59 @p32) :args (@t39 (@list true true) (@list @t26 @t34))) % 0.38/0.57 (step @p68 :rule cnf_equiv_pos2 :args (@t37)) % 0.38/0.57 (step @p69 :rule reordering :premises (@p68) :args ((or @t32 @t30 @t38))) % 0.38/0.57 (step @p70 :rule chain_m_resolution :premises (@p69 @p67 @p49) :args (@t30 @t42 (@list @t32 @t37))) % 0.38/0.57 (step @p71 :rule cnf_or_pos :args (@t43)) % 0.38/0.57 (step @p72 :rule reordering :premises (@p71) :args ((or @t29 @t40 @t44))) % 0.38/0.57 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p52) :args (@t44 @t42 (@list @t29 @t25))) % 0.38/0.57 (assume-push @p82 @t45) % 0.38/0.57 (step @p75 :rule instantiate :premises (@p10) :args ((@list @t24 @t21))) % 0.38/0.57 (step-pop @p83 :rule scope :premises (@p75)) % 0.38/0.57 (step @p76 :rule process_scope :premises (@p83) :args (@t43)) % 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 @p10) :args (false @t42 (@list @t43 @t45))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------