%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET874+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 : n009.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 15.40s 15.61s % Output : Proof 15.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET874+1 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n009.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 16:15:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 15.40/15.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.40/15.61 --- Run --no-e-matching --full-saturate-quant at 6... % 15.40/15.61 % SZS status Theorem % 15.40/15.61 % SZS output start Proof % 15.40/15.61 ( % 15.40/15.61 (declare-sort $$unsorted 0) % 15.40/15.61 (declare-const tptp.empty (-> $$unsorted Bool)) % 15.40/15.61 (declare-const tptp.set_union2 (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.61 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 15.40/15.61 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 15.40/15.61 (declare-const tptp.in (-> $$unsorted $$unsorted Bool)) % 15.40/15.61 (define @t1 () (@var "A" $$unsorted)) % 15.40/15.61 (define @t2 () (@var "B" $$unsorted)) % 15.40/15.61 (define @t3 () (tptp.in @t1 @t2)) % 15.40/15.61 (define @t4 () (@list @t1 @t2)) % 15.40/15.61 (define @t5 () (tptp.unordered_pair @t1 @t2)) % 15.40/15.61 (define @t6 () (tptp.set_union2 @t2 @t1)) % 15.40/15.61 (define @t7 () (tptp.set_union2 @t1 @t2)) % 15.40/15.61 (define @t8 () (@var "D" $$unsorted)) % 15.40/15.61 (define @t9 () (or (= @t8 @t1) (= @t8 @t2))) % 15.40/15.61 (define @t10 () (@var "C" $$unsorted)) % 15.40/15.61 (define @t11 () (tptp.in @t8 @t10)) % 15.40/15.61 (define @t12 () (= @t11 @t9)) % 15.40/15.61 (define @t13 () (@list @t8)) % 15.40/15.61 (define @t14 () (forall @t13 @t12)) % 15.40/15.61 (define @t15 () (= (= @t10 @t5) @t14)) % 15.40/15.61 (define @t16 () (@list @t1 @t2 @t10)) % 15.40/15.61 (define @t17 () (forall @t16 @t15)) % 15.40/15.61 (define @t18 () (tptp.empty @t1)) % 15.40/15.61 (define @t19 () (not @t18)) % 15.40/15.61 (define @t20 () (tptp.singleton @t1)) % 15.40/15.61 (define @t21 () (tptp.set_union2 @t20 @t2)) % 15.40/15.61 (define @t22 () (=> @t3 (= @t21 @t2))) % 15.40/15.61 (define @t23 () (forall @t4 @t22)) % 15.40/15.61 (define @t24 () (@list @t1)) % 15.40/15.61 (define @t25 () (tptp.set_union2 @t20 @t5)) % 15.40/15.61 (define @t26 () (forall @t4 (= @t25 @t5))) % 15.40/15.61 (define @t27 () (not @t26)) % 15.40/15.61 (define @t28 () (= @t2 @t21)) % 15.40/15.61 (define @t29 () (forall @t4 (= @t5 @t25))) % 15.40/15.61 (define @t30 () (@quantifiers_skolemize @t29 1)) % 15.40/15.61 (define @t31 () (@quantifiers_skolemize @t29 0)) % 15.40/15.61 (define @t32 () (tptp.unordered_pair @t31 @t30)) % 15.40/15.61 (define @t33 () (tptp.in @t8 @t32)) % 15.40/15.61 (define @t34 () (forall @t13 (= @t33 (or (= @t8 @t31) (= @t8 @t30))))) % 15.40/15.61 (define @t35 () (or (= @t31 @t8) (= @t30 @t8))) % 15.40/15.61 (define @t36 () (= @t33 @t35)) % 15.40/15.61 (define @t37 () (forall @t13 @t36)) % 15.40/15.61 (define @t38 () (= (= @t32 @t32) @t37)) % 15.40/15.61 (define @t39 () (forall @t16 (= (= @t5 @t10) (forall @t13 (= @t11 (or (= @t1 @t8) (= @t2 @t8))))))) % 15.40/15.61 (define @t40 () (@list false)) % 15.40/15.61 (define @t41 () (tptp.in @t31 @t32)) % 15.40/15.61 (define @t42 () (= @t31 @t30)) % 15.40/15.61 (define @t43 () (or (= @t31 @t31) @t42)) % 15.40/15.61 (define @t44 () (= @t41 @t43)) % 15.40/15.61 (define @t45 () (= @t32 (tptp.set_union2 (tptp.singleton @t31) @t32))) % 15.40/15.61 (define @t46 () (not @t41)) % 15.40/15.61 (define @t47 () (or @t46 @t45)) % 15.40/15.61 (define @t48 () (not @t47)) % 15.40/15.61 (define @t49 () (@list true false)) % 15.40/15.61 (define @t50 () (forall @t4 (or (not @t3) @t28))) % 15.40/15.61 (assume @p1 (forall @t4 (=> @t3 (not (tptp.in @t2 @t1))))) % 15.40/15.61 (assume @p2 (forall @t4 (= @t5 (tptp.unordered_pair @t2 @t1)))) % 15.40/15.61 (assume @p3 (forall @t4 (= @t7 @t6))) % 15.40/15.61 (assume @p4 @t17) % 15.40/15.61 (assume @p5 (forall @t4 (=> @t19 (not (tptp.empty @t7))))) % 15.40/15.61 (assume @p6 (forall @t4 (=> @t19 (not (tptp.empty @t6))))) % 15.40/15.61 (assume @p7 (forall @t4 (= (tptp.set_union2 @t1 @t1) @t1))) % 15.40/15.61 (assume @p8 @t23) % 15.40/15.61 (assume @p9 (exists @t24 @t18)) % 15.40/15.61 (assume @p10 (exists @t24 @t19)) % 15.40/15.61 (assume @p11 @t27) % 15.40/15.61 (assume @p12 true) % 15.40/15.61 (step @p13 :rule bool-impl-elim :args (@t3 @t28)) % 15.40/15.61 (step @p14 :rule cong :premises (@p13) :args ((forall @t4 (=> @t3 @t28)))) % 15.40/15.61 (step @p15 :rule eq-symm :args (@t21 @t2)) % 15.40/15.61 (step @p16 :rule refl :args (@t3)) % 15.40/15.61 (step @p17 :rule cong :premises (@p16 @p15) :args (@t22)) % 15.40/15.61 (step @p18 :rule cong :premises (@p17) :args (@t23)) % 15.40/15.61 (step @p19 :rule trans :premises (@p18 @p14)) % 15.40/15.61 (step @p20 :rule eq_resolve :premises (@p8 @p19)) % 15.40/15.61 (step @p21 :rule eq-symm :args (@t8 @t2)) % 15.40/15.61 (step @p22 :rule eq-symm :args (@t8 @t1)) % 15.40/15.61 (step @p23 :rule nary_cong :premises (@p22 @p21) :args (@t9)) % 15.40/15.61 (step @p24 :rule refl :args (@t11)) % 15.40/15.61 (step @p25 :rule cong :premises (@p24 @p23) :args (@t12)) % 15.40/15.61 (step @p26 :rule cong :premises (@p25) :args (@t14)) % 15.40/15.61 (step @p27 :rule eq-symm :args (@t10 @t5)) % 15.40/15.61 (step @p28 :rule cong :premises (@p27 @p26) :args (@t15)) % 15.40/15.61 (step @p29 :rule cong :premises (@p28) :args (@t17)) % 15.40/15.61 (step @p30 :rule eq_resolve :premises (@p4 @p29)) % 15.40/15.61 (step @p31 :rule bool-eq-true :args (@t34)) % 15.40/15.61 (step @p32 :rule eq-symm :args (true @t34)) % 15.40/15.61 (step @p33 :rule trans :premises (@p32 @p31)) % 15.40/15.61 (step @p34 :rule eq-symm :args (@t30 @t8)) % 15.40/15.61 (step @p35 :rule eq-symm :args (@t31 @t8)) % 15.40/15.61 (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t35)) % 15.40/15.61 (step @p37 :rule refl :args (@t33)) % 15.40/15.61 (step @p38 :rule cong :premises (@p37 @p36) :args (@t36)) % 15.40/15.61 (step @p39 :rule cong :premises (@p38) :args (@t37)) % 15.40/15.61 (step @p40 :rule eq-refl :args (@t32)) % 15.40/15.61 (step @p41 :rule cong :premises (@p40 @p39) :args (@t38)) % 15.40/15.61 (step @p42 :rule trans :premises (@p41 @p33)) % 15.40/15.61 (step @p43 :rule refl :args (@t39)) % 15.40/15.61 (step @p44 :rule cong :premises (@p43 @p42) :args ((=> @t39 @t38))) % 15.40/15.61 (assume-push @p84 @t39) % 15.40/15.61 (step @p46 :rule instantiate :premises (@p30) :args ((@list @t31 @t30 @t32))) % 15.40/15.61 (step-pop @p85 :rule scope :premises (@p46)) % 15.40/15.61 (step @p47 :rule process_scope :premises (@p85) :args (@t38)) % 15.40/15.61 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 15.40/15.61 (step @p50 :rule implies_elim :premises (@p49)) % 15.40/15.61 (step @p51 :rule chain_m_resolution :premises (@p50 @p30) :args (@t34 @t40 (@list @t39))) % 15.40/15.61 (step @p52 :rule bool-eq-true :args (@t41)) % 15.40/15.61 (step @p53 :rule absorb :args ((= (or true @t42) true))) % 15.40/15.61 (step @p54 :rule refl :args (@t42)) % 15.40/15.61 (step @p55 :rule eq-refl :args (@t31)) % 15.40/15.61 (step @p56 :rule nary_cong :premises (@p55 @p54) :args (@t43)) % 15.40/15.61 (step @p57 :rule trans :premises (@p56 @p53)) % 15.40/15.61 (step @p58 :rule refl :args (@t41)) % 15.40/15.61 (step @p59 :rule cong :premises (@p58 @p57) :args (@t44)) % 15.40/15.61 (step @p60 :rule trans :premises (@p59 @p52)) % 15.40/15.61 (step @p61 :rule refl :args (@t34)) % 15.40/15.61 (step @p62 :rule cong :premises (@p61 @p60) :args ((=> @t34 @t44))) % 15.40/15.61 (assume-push @p86 @t34) % 15.40/15.61 (step @p64 :rule instantiate :premises (@p51) :args ((@list @t31))) % 15.40/15.61 (step-pop @p87 :rule scope :premises (@p64)) % 15.40/15.61 (step @p65 :rule process_scope :premises (@p87) :args (@t44)) % 15.40/15.61 (step @p67 :rule eq_resolve :premises (@p65 @p62)) % 15.40/15.61 (step @p68 :rule implies_elim :premises (@p67)) % 15.40/15.61 (step @p69 :rule chain_m_resolution :premises (@p68 @p51) :args (@t41 @t40 (@list @t34))) % 15.40/15.61 (step @p70 :rule eq-symm :args (@t25 @t5)) % 15.40/15.61 (step @p71 :rule cong :premises (@p70) :args (@t26)) % 15.40/15.61 (step @p72 :rule cong :premises (@p71) :args (@t27)) % 15.40/15.61 (step @p73 :rule eq_resolve :premises (@p11 @p72)) % 15.40/15.61 (step @p74 :rule skolemize :premises (@p73)) % 15.40/15.61 (step @p75 :rule cnf_or_pos :args (@t47)) % 15.40/15.61 (step @p76 :rule reordering :premises (@p75) :args ((or @t45 @t46 @t48))) % 15.40/15.61 (step @p77 :rule chain_m_resolution :premises (@p76 @p74 @p69) :args (@t48 @t49 (@list @t45 @t41))) % 15.40/15.61 (assume-push @p88 @t50) % 15.40/15.61 (step @p79 :rule instantiate :premises (@p20) :args ((@list @t31 @t32))) % 15.40/15.61 (step-pop @p89 :rule scope :premises (@p79)) % 15.40/15.61 (step @p80 :rule process_scope :premises (@p89) :args (@t47)) % 15.40/15.61 (step @p82 :rule implies_elim :premises (@p80)) % 15.40/15.61 (step @p83 false :rule chain_m_resolution :premises (@p82 @p77 @p20) :args (false @t49 (@list @t47 @t50))) % 15.40/15.61 ) % 15.40/15.61 % SZS output end Proof % 15.40/15.61 % cvc5 exiting %------------------------------------------------------------------------------