%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET881+1 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n023.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 08:48:54 AM UTC 2026 % Result : Theorem 15.33s 15.59s % Output : Proof 15.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET881+1 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n023.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 16:17:28 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.51 %----Proving TF0_NAR, FOF, or CNF % 15.33/15.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.33/15.59 --- Run --no-e-matching --full-saturate-quant at 6... % 15.33/15.59 % SZS status Theorem % 15.33/15.59 % SZS output start Proof % 15.33/15.59 ( % 15.33/15.59 (declare-sort $$unsorted 0) % 15.33/15.59 (declare-const tptp.set_difference (-> $$unsorted $$unsorted $$unsorted)) % 15.33/15.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.33/15.59 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.33/15.59 (declare-const tptp.empty_set $$unsorted) % 15.33/15.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.33/15.59 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.33/15.59 (define @t1 () (@var "A" $$unsorted)) % 15.33/15.59 (define @t2 () (@var "B" $$unsorted)) % 15.33/15.59 (define @t3 () (tptp.in @t1 @t2)) % 15.33/15.59 (define @t4 () (@list @t1 @t2)) % 15.33/15.59 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 15.33/15.59 (define @t6 () (@var "D" $$unsorted)) % 15.33/15.59 (define @t7 () (or (= @t6 @t1) (= @t6 @t2))) % 15.33/15.59 (define @t8 () (@var "C" $$unsorted)) % 15.33/15.59 (define @t9 () (tptp.in @t6 @t8)) % 15.33/15.59 (define @t10 () (= @t9 @t7)) % 15.33/15.59 (define @t11 () (@list @t6)) % 15.33/15.59 (define @t12 () (forall @t11 @t10)) % 15.33/15.59 (define @t13 () (= (= @t8 @t5) @t12)) % 15.33/15.59 (define @t14 () (@list @t1 @t2 @t8)) % 15.33/15.59 (define @t15 () (forall @t14 @t13)) % 15.33/15.59 (define @t16 () (tptp.singleton @t1)) % 15.33/15.59 (define @t17 () (tptp.set_difference @t16 @t2)) % 15.33/15.59 (define @t18 () (= @t17 tptp.empty_set)) % 15.33/15.59 (define @t19 () (forall @t4 (= @t18 @t3))) % 15.33/15.59 (define @t20 () (tptp.empty @t1)) % 15.33/15.59 (define @t21 () (@list @t1)) % 15.33/15.59 (define @t22 () (tptp.set_difference @t16 @t5)) % 15.33/15.59 (define @t23 () (forall @t4 (= @t22 tptp.empty_set))) % 15.33/15.59 (define @t24 () (not @t23)) % 15.33/15.59 (define @t25 () (forall @t4 (= tptp.empty_set @t22))) % 15.33/15.59 (define @t26 () (@quantifiers_skolemize @t25 1)) % 15.33/15.59 (define @t27 () (@quantifiers_skolemize @t25 0)) % 15.33/15.59 (define @t28 () (tptp.unordered_pair @t27 @t26)) % 15.33/15.59 (define @t29 () (tptp.in @t6 @t28)) % 15.33/15.59 (define @t30 () (forall @t11 (= @t29 (or (= @t6 @t27) (= @t6 @t26))))) % 15.33/15.59 (define @t31 () (or (= @t27 @t6) (= @t26 @t6))) % 15.33/15.59 (define @t32 () (= @t29 @t31)) % 15.33/15.59 (define @t33 () (forall @t11 @t32)) % 15.33/15.59 (define @t34 () (= (= @t28 @t28) @t33)) % 15.33/15.59 (define @t35 () (forall @t14 (= (= @t5 @t8) (forall @t11 (= @t9 (or (= @t1 @t6) (= @t2 @t6))))))) % 15.33/15.59 (define @t36 () (@list false)) % 15.33/15.59 (define @t37 () (tptp.in @t27 @t28)) % 15.33/15.59 (define @t38 () (= @t27 @t26)) % 15.33/15.59 (define @t39 () (or (= @t27 @t27) @t38)) % 15.33/15.59 (define @t40 () (= @t37 @t39)) % 15.33/15.59 (define @t41 () (= tptp.empty_set (tptp.set_difference (tptp.singleton @t27) @t28))) % 15.33/15.59 (define @t42 () (= @t41 @t37)) % 15.33/15.59 (define @t43 () (not @t42)) % 15.33/15.59 (define @t44 () (@list true false)) % 15.33/15.59 (define @t45 () (forall @t4 (= @t3 (= tptp.empty_set @t17)))) % 15.33/15.59 (define @t46 () (= @t37 @t41)) % 15.33/15.59 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.33/15.59 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 15.33/15.59 (assume @p3 @t15) % 15.33/15.59 (assume @p4 (tptp.empty tptp.empty_set)) % 15.33/15.59 (assume @p5 @t19) % 15.33/15.59 (assume @p6 (exists @t21 @t20)) % 15.33/15.59 (assume @p7 (exists @t21 (not @t20))) % 15.33/15.59 (assume @p8 @t24) % 15.33/15.59 (assume @p9 true) % 15.33/15.59 (step @p10 :rule eq-symm :args (@t17 tptp.empty_set)) % 15.33/15.59 (step @p11 :rule refl :args (@t3)) % 15.33/15.59 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t3 @t18))) % 15.33/15.59 (step @p13 :rule eq-symm :args (@t18 @t3)) % 15.33/15.59 (step @p14 :rule trans :premises (@p13 @p12)) % 15.33/15.59 (step @p15 :rule cong :premises (@p14) :args (@t19)) % 15.33/15.59 (step @p16 :rule eq_resolve :premises (@p5 @p15)) % 15.33/15.59 (step @p17 :rule eq-symm :args (@t6 @t2)) % 15.33/15.59 (step @p18 :rule eq-symm :args (@t6 @t1)) % 15.33/15.59 (step @p19 :rule nary_cong :premises (@p18 @p17) :args (@t7)) % 15.33/15.59 (step @p20 :rule refl :args (@t9)) % 15.33/15.59 (step @p21 :rule cong :premises (@p20 @p19) :args (@t10)) % 15.33/15.59 (step @p22 :rule cong :premises (@p21) :args (@t12)) % 15.33/15.59 (step @p23 :rule eq-symm :args (@t8 @t5)) % 15.33/15.59 (step @p24 :rule cong :premises (@p23 @p22) :args (@t13)) % 15.33/15.59 (step @p25 :rule cong :premises (@p24) :args (@t15)) % 15.33/15.59 (step @p26 :rule eq_resolve :premises (@p3 @p25)) % 15.33/15.59 (step @p27 :rule bool-eq-true :args (@t30)) % 15.33/15.59 (step @p28 :rule eq-symm :args (true @t30)) % 15.33/15.59 (step @p29 :rule trans :premises (@p28 @p27)) % 15.33/15.59 (step @p30 :rule eq-symm :args (@t26 @t6)) % 15.33/15.59 (step @p31 :rule eq-symm :args (@t27 @t6)) % 15.33/15.59 (step @p32 :rule nary_cong :premises (@p31 @p30) :args (@t31)) % 15.33/15.59 (step @p33 :rule refl :args (@t29)) % 15.33/15.59 (step @p34 :rule cong :premises (@p33 @p32) :args (@t32)) % 15.33/15.59 (step @p35 :rule cong :premises (@p34) :args (@t33)) % 15.33/15.59 (step @p36 :rule eq-refl :args (@t28)) % 15.33/15.59 (step @p37 :rule cong :premises (@p36 @p35) :args (@t34)) % 15.33/15.59 (step @p38 :rule trans :premises (@p37 @p29)) % 15.33/15.59 (step @p39 :rule refl :args (@t35)) % 15.33/15.59 (step @p40 :rule cong :premises (@p39 @p38) :args ((=> @t35 @t34))) % 15.33/15.59 (assume-push @p84 @t35) % 15.33/15.59 (step @p42 :rule instantiate :premises (@p26) :args ((@list @t27 @t26 @t28))) % 15.33/15.59 (step-pop @p85 :rule scope :premises (@p42)) % 15.33/15.59 (step @p43 :rule process_scope :premises (@p85) :args (@t34)) % 15.33/15.59 (step @p45 :rule eq_resolve :premises (@p43 @p40)) % 15.33/15.59 (step @p46 :rule implies_elim :premises (@p45)) % 15.33/15.59 (step @p47 :rule chain_m_resolution :premises (@p46 @p26) :args (@t30 @t36 (@list @t35))) % 15.33/15.59 (step @p48 :rule bool-eq-true :args (@t37)) % 15.33/15.59 (step @p49 :rule absorb :args ((= (or true @t38) true))) % 15.33/15.59 (step @p50 :rule refl :args (@t38)) % 15.33/15.59 (step @p51 :rule eq-refl :args (@t27)) % 15.33/15.59 (step @p52 :rule nary_cong :premises (@p51 @p50) :args (@t39)) % 15.33/15.59 (step @p53 :rule trans :premises (@p52 @p49)) % 15.33/15.59 (step @p54 :rule refl :args (@t37)) % 15.33/15.59 (step @p55 :rule cong :premises (@p54 @p53) :args (@t40)) % 15.33/15.59 (step @p56 :rule trans :premises (@p55 @p48)) % 15.33/15.59 (step @p57 :rule refl :args (@t30)) % 15.33/15.59 (step @p58 :rule cong :premises (@p57 @p56) :args ((=> @t30 @t40))) % 15.33/15.59 (assume-push @p86 @t30) % 15.33/15.59 (step @p60 :rule instantiate :premises (@p47) :args ((@list @t27))) % 15.33/15.59 (step-pop @p87 :rule scope :premises (@p60)) % 15.33/15.59 (step @p61 :rule process_scope :premises (@p87) :args (@t40)) % 15.33/15.59 (step @p63 :rule eq_resolve :premises (@p61 @p58)) % 15.33/15.59 (step @p64 :rule implies_elim :premises (@p63)) % 15.33/15.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p47) :args (@t37 @t36 (@list @t30))) % 15.33/15.59 (step @p66 :rule eq-symm :args (@t22 tptp.empty_set)) % 15.33/15.59 (step @p67 :rule cong :premises (@p66) :args (@t23)) % 15.33/15.59 (step @p68 :rule cong :premises (@p67) :args (@t24)) % 15.33/15.59 (step @p69 :rule eq_resolve :premises (@p8 @p68)) % 15.33/15.59 (step @p70 :rule skolemize :premises (@p69)) % 15.33/15.59 (step @p71 :rule cnf_equiv_pos2 :args (@t42)) % 15.33/15.59 (step @p72 :rule reordering :premises (@p71) :args ((or @t41 (not @t37) @t43))) % 15.33/15.59 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p65) :args (@t43 @t44 (@list @t41 @t37))) % 15.33/15.59 (step @p74 :rule eq-symm :args (@t37 @t41)) % 15.33/15.59 (step @p75 :rule refl :args (@t45)) % 15.33/15.59 (step @p76 :rule cong :premises (@p75 @p74) :args ((=> @t45 @t46))) % 15.33/15.59 (assume-push @p88 @t45) % 15.33/15.59 (step @p78 :rule instantiate :premises (@p16) :args ((@list @t27 @t28))) % 15.33/15.59 (step-pop @p89 :rule scope :premises (@p78)) % 15.33/15.59 (step @p79 :rule process_scope :premises (@p89) :args (@t46)) % 15.33/15.59 (step @p81 :rule eq_resolve :premises (@p79 @p76)) % 15.33/15.59 (step @p82 :rule implies_elim :premises (@p81)) % 15.33/15.59 (step @p83 false :rule chain_m_resolution :premises (@p82 @p73 @p16) :args (false @t44 (@list @t42 @t45))) % 15.33/15.59 ) % 15.33/15.59 % SZS output end Proof % 15.33/15.59 % cvc5 exiting %------------------------------------------------------------------------------