%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV421_1 : TPTP v9.2.1. Released v5.0.0. % 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 08:55:56 AM UTC 2026 % Result : Theorem 0.36s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SEV421_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n009.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue Jun 2 18:31:59 EDT 2026 % 0.15/0.33 % CPUTime : % 0.29/0.48 %----Proving TF0_ARI % 0.36/0.55 --- Run --finite-model-find --decision=internal at 45... % 0.36/0.55 % SZS status Theorem % 0.36/0.55 % SZS output start Proof % 0.36/0.55 ( % 0.36/0.55 (declare-sort tptp.element 0) % 0.36/0.55 (declare-sort tptp.set 0) % 0.36/0.55 (declare-const tptp.cardinality (-> tptp.set Int)) % 0.36/0.55 (declare-const tptp.complement (-> tptp.set tptp.set)) % 0.36/0.55 (declare-const tptp.difference (-> tptp.set tptp.set tptp.set)) % 0.36/0.55 (declare-const tptp.union (-> tptp.set tptp.set tptp.set)) % 0.36/0.55 (declare-const tptp.intersection (-> tptp.set tptp.set tptp.set)) % 0.36/0.55 (declare-const tptp.subset (-> tptp.set tptp.set Bool)) % 0.36/0.55 (declare-const tptp.singleton (-> tptp.element tptp.set)) % 0.36/0.55 (declare-const tptp.member (-> tptp.element tptp.set Bool)) % 0.36/0.55 (declare-const tptp.empty_set tptp.set) % 0.36/0.55 (define @t1 () (@var "S" tptp.set)) % 0.36/0.55 (define @t2 () (= @t1 tptp.empty_set)) % 0.36/0.55 (define @t3 () (@var "X" tptp.element)) % 0.36/0.55 (define @t4 () (tptp.member @t3 @t1)) % 0.36/0.55 (define @t5 () (@list @t3)) % 0.36/0.55 (define @t6 () (@list @t1)) % 0.36/0.55 (define @t7 () (@var "A" tptp.element)) % 0.36/0.55 (define @t8 () (@var "B" tptp.set)) % 0.36/0.55 (define @t9 () (tptp.member @t3 @t8)) % 0.36/0.55 (define @t10 () (@var "A" tptp.set)) % 0.36/0.55 (define @t11 () (tptp.member @t3 @t10)) % 0.36/0.55 (define @t12 () (@list @t10 @t8)) % 0.36/0.55 (define @t13 () (tptp.intersection @t10 @t8)) % 0.36/0.55 (define @t14 () (@list @t3 @t10 @t8)) % 0.36/0.55 (define @t15 () (tptp.union @t10 @t8)) % 0.36/0.55 (define @t16 () (@var "B" tptp.element)) % 0.36/0.55 (define @t17 () (@var "E" tptp.set)) % 0.36/0.55 (define @t18 () (@list @t3 @t1)) % 0.36/0.55 (define @t19 () (tptp.cardinality @t1)) % 0.36/0.55 (define @t20 () (= @t19 0)) % 0.36/0.55 (define @t21 () (forall @t6 (= @t20 @t2))) % 0.36/0.55 (define @t22 () (tptp.singleton @t3)) % 0.36/0.55 (define @t23 () (tptp.cardinality (tptp.union @t22 @t1))) % 0.36/0.55 (define @t24 () (tptp.intersection @t22 @t1)) % 0.36/0.55 (define @t25 () (@var "T" tptp.set)) % 0.36/0.55 (define @t26 () (tptp.intersection @t1 @t25)) % 0.36/0.55 (define @t27 () (@var "C" tptp.set)) % 0.36/0.55 (define @t28 () (@var "Size" Int)) % 0.36/0.55 (define @t29 () (= @t28 0)) % 0.36/0.55 (define @t30 () (= @t29 (= @t27 tptp.empty_set))) % 0.36/0.55 (define @t31 () (tptp.cardinality @t27)) % 0.36/0.55 (define @t32 () (= @t28 @t31)) % 0.36/0.55 (define @t33 () (tptp.member @t3 @t27)) % 0.36/0.55 (define @t34 () (not @t33)) % 0.36/0.55 (define @t35 () (and @t34 @t32)) % 0.36/0.55 (define @t36 () (=> @t35 @t30)) % 0.36/0.55 (define @t37 () (@list @t3 @t27 @t28)) % 0.36/0.55 (define @t38 () (forall @t37 @t36)) % 0.36/0.55 (define @t39 () (not @t38)) % 0.36/0.55 (define @t40 () (= tptp.empty_set @t1)) % 0.36/0.55 (define @t41 () (= @t31 0)) % 0.36/0.55 (define @t42 () (= tptp.empty_set @t27)) % 0.36/0.55 (define @t43 () (= @t42 @t41)) % 0.36/0.55 (define @t44 () (or @t33 @t43)) % 0.36/0.55 (define @t45 () (not (= @t31 @t31))) % 0.36/0.55 (define @t46 () (or @t33 @t45 (= @t41 @t42))) % 0.36/0.55 (define @t47 () (@list @t3 @t27)) % 0.36/0.55 (define @t48 () (= @t29 @t42)) % 0.36/0.55 (define @t49 () (not @t32)) % 0.36/0.55 (define @t50 () (or @t49 @t33 @t49 @t48)) % 0.36/0.55 (define @t51 () (@list @t28)) % 0.36/0.55 (define @t52 () (or @t33 @t49 @t48)) % 0.36/0.55 (define @t53 () (forall @t51 @t52)) % 0.36/0.55 (define @t54 () (forall @t47 @t53)) % 0.36/0.55 (define @t55 () (forall @t47 @t44)) % 0.36/0.55 (define @t56 () (@quantifiers_skolemize @t55 1)) % 0.36/0.55 (define @t57 () (= (tptp.cardinality @t56) 0)) % 0.36/0.55 (define @t58 () (= tptp.empty_set @t56)) % 0.36/0.55 (define @t59 () (= @t58 @t57)) % 0.36/0.55 (define @t60 () (or (tptp.member (@quantifiers_skolemize @t55 0) @t56) @t59)) % 0.36/0.55 (define @t61 () (forall @t6 (= @t20 @t40))) % 0.36/0.55 (define @t62 () (= @t57 @t58)) % 0.36/0.55 (assume @p1 (forall @t6 (= (forall @t5 (not @t4)) @t2))) % 0.36/0.55 (assume @p2 (forall (@list @t3 @t7) (= (tptp.member @t3 (tptp.singleton @t7)) (= @t3 @t7)))) % 0.36/0.55 (assume @p3 (forall @t12 (= (tptp.subset @t10 @t8) (forall @t5 (=> @t11 @t9))))) % 0.36/0.55 (assume @p4 (forall @t14 (= (tptp.member @t3 @t13) (and @t11 @t9)))) % 0.36/0.55 (assume @p5 (forall @t14 (= (tptp.member @t3 @t15) (or @t11 @t9)))) % 0.36/0.55 (assume @p6 (forall (@list @t16 @t10 @t17) (= (tptp.member @t16 (tptp.difference @t17 @t10)) (and (tptp.member @t16 @t17) (not (tptp.member @t16 @t10)))))) % 0.36/0.55 (assume @p7 (forall @t18 (= @t4 (not (tptp.member @t3 (tptp.complement @t1)))))) % 0.36/0.55 (assume @p8 @t21) % 0.36/0.55 (assume @p9 (forall @t18 (= (= @t24 @t22) (= @t23 @t19)))) % 0.36/0.55 (assume @p10 (forall @t18 (= (= @t24 tptp.empty_set) (= @t23 (+ @t19 1))))) % 0.36/0.55 (assume @p11 (forall (@list @t1 @t25) (= (= (tptp.cardinality @t26) 0) (= @t26 tptp.empty_set)))) % 0.36/0.55 (assume @p12 (forall @t12 (= (= @t13 tptp.empty_set) (= (tptp.cardinality @t15) (+ (tptp.cardinality @t10) (tptp.cardinality @t8)))))) % 0.36/0.55 (assume @p13 @t39) % 0.36/0.55 (assume @p14 true) % 0.36/0.55 (step @p15 :rule eq-symm :args (@t40 @t20)) % 0.36/0.55 (step @p16 :rule refl :args (@t20)) % 0.36/0.55 (step @p17 :rule eq-symm :args (@t1 tptp.empty_set)) % 0.36/0.55 (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t2 @t20))) % 0.36/0.55 (step @p19 :rule trans :premises (@p18 @p15)) % 0.36/0.55 (step @p20 :rule eq-symm :args (@t20 @t2)) % 0.36/0.55 (step @p21 :rule trans :premises (@p20 @p19)) % 0.36/0.55 (step @p22 :rule cong :premises (@p21) :args (@t21)) % 0.36/0.55 (step @p23 :rule eq_resolve :premises (@p8 @p22)) % 0.36/0.55 (step @p24 :rule aci_norm :args ((= (or @t33 false @t43) @t44))) % 0.36/0.55 (step @p25 :rule eq-symm :args (@t41 @t42)) % 0.36/0.55 (step @p26 :rule evaluate :args ((not true))) % 0.36/0.55 (step @p27 :rule eq-refl :args (@t31)) % 0.36/0.55 (step @p28 :rule cong :premises (@p27) :args (@t45)) % 0.36/0.55 (step @p29 :rule trans :premises (@p28 @p26)) % 0.36/0.55 (step @p30 :rule refl :args (@t33)) % 0.36/0.55 (step @p31 :rule nary_cong :premises (@p30 @p29 @p25) :args (@t46)) % 0.36/0.55 (step @p32 :rule trans :premises (@p31 @p24)) % 0.36/0.55 (step @p33 :rule cong :premises (@p32) :args ((forall @t47 @t46))) % 0.36/0.55 (step @p34 :rule quant-var-elim-eq :args ((= (forall @t51 @t50) @t46))) % 0.36/0.55 (step @p35 :rule aci_norm :args ((= @t52 @t50))) % 0.36/0.55 (step @p36 :rule cong :premises (@p35) :args (@t53)) % 0.36/0.55 (step @p37 :rule trans :premises (@p36 @p34)) % 0.36/0.55 (step @p38 :rule cong :premises (@p37) :args (@t54)) % 0.36/0.55 (step @p39 :rule quant-merge-prenex :args ((= @t54 (forall @t37 @t52)))) % 0.36/0.55 (step @p40 :rule symm :premises (@p39)) % 0.36/0.55 (step @p41 :rule trans :premises (@p40 @p38)) % 0.36/0.55 (step @p42 :rule trans :premises (@p41 @p33)) % 0.36/0.55 (step @p43 :rule aci_norm :args ((= (or (or @t33 @t49) @t48) @t52))) % 0.36/0.55 (step @p44 :rule refl :args (@t48)) % 0.36/0.55 (step @p45 :rule refl :args (@t49)) % 0.36/0.55 (step @p46 :rule bool-double-not-elim :args (@t33)) % 0.36/0.55 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t34) @t49))) % 0.36/0.55 (step @p48 :rule bool-and-de-morgan :args (@t34 @t32 true)) % 0.36/0.55 (step @p49 :rule trans :premises (@p48 @p47)) % 0.36/0.55 (step @p50 :rule nary_cong :premises (@p49 @p44) :args ((or (not @t35) @t48))) % 0.36/0.55 (step @p51 :rule trans :premises (@p50 @p43)) % 0.36/0.55 (step @p52 :rule bool-impl-elim :args (@t35 @t48)) % 0.36/0.55 (step @p53 :rule trans :premises (@p52 @p51)) % 0.36/0.55 (step @p54 :rule cong :premises (@p53) :args ((forall @t37 (=> @t35 @t48)))) % 0.36/0.55 (step @p55 :rule trans :premises (@p54 @p42)) % 0.36/0.55 (step @p56 :rule eq-symm :args (@t27 tptp.empty_set)) % 0.36/0.55 (step @p57 :rule refl :args (@t29)) % 0.36/0.55 (step @p58 :rule cong :premises (@p57 @p56) :args (@t30)) % 0.36/0.55 (step @p59 :rule refl :args (@t35)) % 0.36/0.55 (step @p60 :rule cong :premises (@p59 @p58) :args (@t36)) % 0.36/0.55 (step @p61 :rule cong :premises (@p60) :args (@t38)) % 0.36/0.55 (step @p62 :rule trans :premises (@p61 @p55)) % 0.36/0.55 (step @p63 :rule cong :premises (@p62) :args (@t39)) % 0.36/0.55 (step @p64 :rule eq_resolve :premises (@p13 @p63)) % 0.36/0.55 (step @p65 :rule skolemize :premises (@p64)) % 0.36/0.55 (step @p66 :rule cnf_or_neg :args (@t60 1)) % 0.36/0.55 (step @p67 :rule chain_m_resolution :premises (@p66 @p65) :args ((not @t59) (@list true) (@list @t60))) % 0.36/0.55 (step @p68 :rule eq-symm :args (@t57 @t58)) % 0.36/0.55 (step @p69 :rule refl :args (@t61)) % 0.36/0.55 (step @p70 :rule cong :premises (@p69 @p68) :args ((=> @t61 @t62))) % 0.36/0.55 (assume-push @p78 @t61) % 0.36/0.55 (step @p72 :rule instantiate :premises (@p23) :args ((@list @t56))) % 0.36/0.55 (step-pop @p79 :rule scope :premises (@p72)) % 0.36/0.55 (step @p73 :rule process_scope :premises (@p79) :args (@t62)) % 0.36/0.55 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 0.36/0.55 (step @p76 :rule implies_elim :premises (@p75)) % 0.36/0.55 (step @p77 false :rule chain_m_resolution :premises (@p76 @p67 @p23) :args (false (@list true false) (@list @t59 @t61))) % 0.36/0.55 ) % 0.36/0.55 % SZS output end Proof % 0.36/0.55 % cvc5 exiting %------------------------------------------------------------------------------