%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET630+3 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.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 08:48:18 AM UTC 2026 % Result : Theorem 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET630+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n008.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 16:05:33 EDT 2026 % 0.17/0.34 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Theorem % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.symmetric_difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "C" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.difference @t1 @t2)) % 0.38/0.56 (define @t4 () (tptp.symmetric_difference @t1 @t2)) % 0.38/0.56 (define @t5 () (@list @t1 @t2)) % 0.38/0.56 (define @t6 () (@var "D" $$unsorted)) % 0.38/0.56 (define @t7 () (tptp.intersect @t1 @t2)) % 0.38/0.56 (define @t8 () (@list @t1 @t2 @t6)) % 0.38/0.56 (define @t9 () (tptp.intersection @t1 @t2)) % 0.38/0.56 (define @t10 () (tptp.member @t6 @t2)) % 0.38/0.56 (define @t11 () (tptp.member @t6 @t1)) % 0.38/0.56 (define @t12 () (and @t11 @t10)) % 0.38/0.56 (define @t13 () (@list @t6)) % 0.38/0.56 (define @t14 () (forall @t5 (= (tptp.disjoint @t1 @t2) (not @t7)))) % 0.38/0.56 (define @t15 () (forall @t5 (tptp.disjoint @t9 @t4))) % 0.38/0.56 (define @t16 () (@quantifiers_skolemize @t15 0)) % 0.38/0.56 (define @t17 () (@quantifiers_skolemize @t15 1)) % 0.38/0.56 (define @t18 () (tptp.difference @t17 @t16)) % 0.38/0.56 (define @t19 () (tptp.difference @t16 @t17)) % 0.38/0.56 (define @t20 () (tptp.intersection @t16 @t17)) % 0.38/0.56 (define @t21 () (tptp.symmetric_difference @t16 @t17)) % 0.38/0.56 (define @t22 () (tptp.intersect @t20 @t21)) % 0.38/0.56 (define @t23 () (tptp.disjoint @t20 @t21)) % 0.38/0.56 (define @t24 () (not @t22)) % 0.38/0.56 (define @t25 () (= @t23 @t24)) % 0.38/0.56 (define @t26 () (not @t25)) % 0.38/0.56 (define @t27 () (@list true false)) % 0.38/0.56 (define @t28 () (@list @t16 @t17)) % 0.38/0.56 (define @t29 () (tptp.intersect @t20 (tptp.union @t19 @t18))) % 0.38/0.56 (define @t30 () (tptp.intersect @t20 @t18)) % 0.38/0.56 (define @t31 () (tptp.intersect @t20 @t19)) % 0.38/0.56 (define @t32 () (or @t31 @t30)) % 0.38/0.56 (define @t33 () (= @t29 @t32)) % 0.38/0.56 (define @t34 () (@list false false)) % 0.38/0.56 (define @t35 () (not @t31)) % 0.38/0.56 (define @t36 () (tptp.disjoint @t20 @t19)) % 0.38/0.56 (define @t37 () (= @t36 @t35)) % 0.38/0.56 (define @t38 () (tptp.intersection @t17 @t16)) % 0.38/0.56 (define @t39 () (tptp.intersect @t38 @t18)) % 0.38/0.56 (define @t40 () (not @t39)) % 0.38/0.56 (define @t41 () (tptp.disjoint @t38 @t18)) % 0.38/0.56 (define @t42 () (= @t41 @t40)) % 0.38/0.56 (define @t43 () (not @t42)) % 0.38/0.56 (assume @p1 (forall @t5 (= @t4 (tptp.union @t3 (tptp.difference @t2 @t1))))) % 0.38/0.56 (assume @p2 (forall @t8 (= (tptp.intersect @t1 (tptp.union @t2 @t6)) (or @t7 (tptp.intersect @t1 @t6))))) % 0.38/0.56 (assume @p3 (forall @t5 (tptp.disjoint @t9 @t3))) % 0.38/0.56 (assume @p4 (forall @t8 (= (tptp.member @t6 @t9) @t12))) % 0.38/0.56 (assume @p5 (forall @t5 (= @t7 (exists @t13 @t12)))) % 0.38/0.56 (assume @p6 @t14) % 0.38/0.56 (assume @p7 (forall @t5 (= (tptp.union @t1 @t2) (tptp.union @t2 @t1)))) % 0.38/0.56 (assume @p8 (forall @t5 (= @t9 (tptp.intersection @t2 @t1)))) % 0.38/0.56 (assume @p9 (forall @t5 (= @t4 (tptp.symmetric_difference @t2 @t1)))) % 0.38/0.56 (assume @p10 (forall @t5 (=> @t7 (tptp.intersect @t2 @t1)))) % 0.38/0.56 (assume @p11 (forall @t5 (= (= @t1 @t2) (forall @t13 (= @t11 @t10))))) % 0.38/0.56 (assume @p12 (not @t15)) % 0.38/0.56 (assume @p13 true) % 0.38/0.56 (step @p14 :rule instantiate :premises (@p2) :args ((@list @t20 @t19 @t18))) % 0.38/0.56 (step @p15 :rule instantiate :premises (@p6) :args ((@list @t20 @t21))) % 0.38/0.56 (step @p16 :rule skolemize :premises (@p12)) % 0.38/0.56 (step @p17 :rule bool-double-not-elim :args (@t22)) % 0.38/0.56 (step @p18 :rule refl :args (@t23)) % 0.38/0.56 (step @p19 :rule refl :args (@t26)) % 0.38/0.56 (step @p20 :rule nary_cong :premises (@p19 @p18 @p17) :args ((or @t26 @t23 (not @t24)))) % 0.38/0.56 (step @p21 :rule cnf_equiv_pos2 :args (@t25)) % 0.38/0.56 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.38/0.56 (step @p23 :rule reordering :premises (@p22) :args ((or @t23 @t22 @t26))) % 0.38/0.56 (step @p24 :rule chain_m_resolution :premises (@p23 @p16 @p15) :args (@t22 @t27 (@list @t23 @t25))) % 0.38/0.56 (step @p25 :rule true_intro :premises (@p24)) % 0.38/0.56 (step @p26 :rule instantiate :premises (@p1) :args (@t28)) % 0.38/0.56 (step @p27 :rule symm :premises (@p26)) % 0.38/0.56 (step @p28 :rule refl :args (@t20)) % 0.38/0.56 (step @p29 :rule cong :premises (@p28 @p27) :args (@t29)) % 0.38/0.56 (step @p30 :rule trans :premises (@p29 @p25)) % 0.38/0.56 (step @p31 :rule true_elim :premises (@p30)) % 0.38/0.57 (step @p32 :rule cnf_equiv_pos1 :args (@t33)) % 0.38/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t32 (not @t29) (not @t33)))) % 0.38/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p14) :args (@t32 @t34 (@list @t29 @t33))) % 0.38/0.57 (step @p35 :rule instantiate :premises (@p6) :args ((@list @t20 @t19))) % 0.38/0.57 (step @p36 :rule instantiate :premises (@p3) :args (@t28)) % 0.38/0.57 (step @p37 :rule cnf_equiv_pos1 :args (@t37)) % 0.38/0.57 (step @p38 :rule reordering :premises (@p37) :args ((or (not @t36) @t35 (not @t37)))) % 0.38/0.57 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p35) :args (@t35 @t34 (@list @t36 @t37))) % 0.38/0.57 (step @p40 :rule cnf_or_pos :args (@t32)) % 0.38/0.57 (step @p41 :rule reordering :premises (@p40) :args ((or @t31 @t30 (not @t32)))) % 0.38/0.57 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p34) :args (@t30 @t27 (@list @t31 @t32))) % 0.38/0.57 (step @p43 :rule true_intro :premises (@p42)) % 0.38/0.57 (step @p44 :rule refl :args (@t18)) % 0.38/0.57 (step @p45 :rule instantiate :premises (@p8) :args (@t28)) % 0.38/0.57 (step @p46 :rule symm :premises (@p45)) % 0.38/0.57 (step @p47 :rule cong :premises (@p46 @p44) :args (@t39)) % 0.38/0.57 (step @p48 :rule trans :premises (@p47 @p43)) % 0.38/0.57 (step @p49 :rule true_elim :premises (@p48)) % 0.38/0.57 (step @p50 :rule instantiate :premises (@p3) :args ((@list @t17 @t16))) % 0.38/0.57 (step @p51 :rule cnf_equiv_pos1 :args (@t42)) % 0.38/0.57 (step @p52 :rule reordering :premises (@p51) :args ((or (not @t41) @t40 @t43))) % 0.38/0.57 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p49) :args (@t43 @t34 (@list @t41 @t39))) % 0.38/0.57 (assume-push @p60 @t14) % 0.38/0.57 (step @p55 :rule instantiate :premises (@p6) :args ((@list @t38 @t18))) % 0.38/0.57 (step-pop @p61 :rule scope :premises (@p55)) % 0.38/0.57 (step @p56 :rule process_scope :premises (@p61) :args (@t42)) % 0.38/0.57 (step @p58 :rule implies_elim :premises (@p56)) % 0.38/0.57 (step @p59 false :rule chain_m_resolution :premises (@p58 @p53 @p6) :args (false @t27 (@list @t42 @t14))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting 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