%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET095+4 : TPTP v9.2.1. Released v2.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n027.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 08:47:22 AM UTC 2026 % Result : Theorem 0.37s 0.57s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET095+4 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n027.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 14:53:36 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.57 % SZS status Theorem % 0.37/0.57 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.empty_set $$unsorted) % 0.37/0.57 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.57 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.57 (define @t6 () (@list @t2)) % 0.37/0.57 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.57 (define @t8 () (tptp.subset @t4 @t1)) % 0.37/0.57 (define @t9 () (= @t8 @t7)) % 0.37/0.57 (define @t10 () (@list @t4 @t1)) % 0.37/0.57 (define @t11 () (forall @t10 @t9)) % 0.37/0.57 (define @t12 () (@list @t2 @t4)) % 0.37/0.57 (define @t13 () (@list @t2 @t4 @t1)) % 0.37/0.57 (define @t14 () (@var "E" $$unsorted)) % 0.37/0.57 (define @t15 () (= @t2 @t4)) % 0.37/0.57 (define @t16 () (tptp.member @t2 (tptp.singleton @t4))) % 0.37/0.57 (define @t17 () (= @t16 @t15)) % 0.37/0.57 (define @t18 () (forall @t12 @t17)) % 0.37/0.57 (define @t19 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t20 () (tptp.member @t2 @t19)) % 0.37/0.57 (define @t21 () (tptp.member @t19 @t4)) % 0.37/0.57 (define @t22 () (@list @t19)) % 0.37/0.57 (define @t23 () (tptp.subset (tptp.singleton @t2) @t4)) % 0.37/0.57 (define @t24 () (@list @t4 @t2)) % 0.37/0.57 (define @t25 () (forall @t24 (=> @t5 @t23))) % 0.37/0.57 (define @t26 () (not @t25)) % 0.37/0.57 (define @t27 () (forall @t24 (or (not @t5) @t23))) % 0.37/0.57 (define @t28 () (@quantifiers_skolemize @t27 0)) % 0.37/0.57 (define @t29 () (@quantifiers_skolemize @t27 1)) % 0.37/0.57 (define @t30 () (tptp.singleton @t29)) % 0.37/0.57 (define @t31 () (tptp.subset @t30 @t28)) % 0.37/0.57 (define @t32 () (tptp.member @t29 @t28)) % 0.37/0.57 (define @t33 () (not @t32)) % 0.37/0.57 (define @t34 () (or @t33 @t31)) % 0.37/0.57 (define @t35 () (@list true)) % 0.37/0.57 (define @t36 () (@list @t34)) % 0.37/0.57 (define @t37 () (forall @t6 (or (not (tptp.member @t2 @t30)) (tptp.member @t2 @t28)))) % 0.37/0.57 (define @t38 () (= @t31 @t37)) % 0.37/0.57 (define @t39 () (not @t37)) % 0.37/0.57 (define @t40 () (@quantifiers_skolemize @t37 0)) % 0.37/0.57 (define @t41 () (tptp.member @t40 @t28)) % 0.37/0.57 (define @t42 () (tptp.member @t40 @t30)) % 0.37/0.57 (define @t43 () (not @t42)) % 0.37/0.57 (define @t44 () (or @t43 @t41)) % 0.37/0.57 (define @t45 () (@list @t44)) % 0.37/0.57 (define @t46 () (= @t29 @t40)) % 0.37/0.57 (define @t47 () (= @t42 @t46)) % 0.37/0.57 (assume @p1 @t11) % 0.37/0.57 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.37/0.57 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.37/0.57 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.37/0.57 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.57 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.57 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 (tptp.difference @t14 @t4)) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.37/0.57 (assume @p8 @t18) % 0.37/0.57 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t15 (= @t2 @t1))))) % 0.37/0.57 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t22 (and @t21 @t20))))) % 0.37/0.57 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t22 (=> @t21 @t20))))) % 0.37/0.57 (assume @p12 @t26) % 0.37/0.57 (assume @p13 true) % 0.37/0.57 (step @p14 :rule evaluate :args ((= true false))) % 0.37/0.57 (step @p15 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.57 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.37/0.57 (step @p17 :rule refl :args (@t8)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17 @p16) :args (@t9)) % 0.37/0.57 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.37/0.57 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.37/0.57 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t30 @t28))) % 0.37/0.57 (step @p22 :rule bool-impl-elim :args (@t5 @t23)) % 0.37/0.57 (step @p23 :rule cong :premises (@p22) :args (@t25)) % 0.37/0.57 (step @p24 :rule cong :premises (@p23) :args (@t26)) % 0.37/0.57 (step @p25 :rule eq_resolve :premises (@p12 @p24)) % 0.37/0.57 (step @p26 :rule skolemize :premises (@p25)) % 0.37/0.57 (step @p27 :rule cnf_or_neg :args (@t34 1)) % 0.37/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p26) :args ((not @t31) @t35 @t36)) % 0.37/0.57 (step @p29 :rule cnf_equiv_pos2 :args (@t38)) % 0.37/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t31 @t39 (not @t38)))) % 0.37/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p21) :args (@t39 (@list true false) (@list @t31 @t38))) % 0.37/0.57 (step @p32 :rule skolemize :premises (@p31)) % 0.37/0.57 (step @p33 :rule cnf_or_neg :args (@t44 1)) % 0.37/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p32) :args ((not @t41) @t35 @t45)) % 0.37/0.57 (step @p35 :rule false_intro :premises (@p34)) % 0.37/0.57 (step @p36 :rule refl :args (@t28)) % 0.37/0.57 (step @p37 :rule eq-symm :args (@t2 @t4)) % 0.37/0.57 (step @p38 :rule refl :args (@t16)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38 @p37) :args (@t17)) % 0.37/0.57 (step @p40 :rule cong :premises (@p39) :args (@t18)) % 0.37/0.57 (step @p41 :rule eq_resolve :premises (@p8 @p40)) % 0.37/0.57 (step @p42 :rule instantiate :premises (@p41) :args ((@list @t40 @t29))) % 0.37/0.57 (step @p43 :rule bool-double-not-elim :args (@t42)) % 0.37/0.57 (step @p44 :rule refl :args (@t44)) % 0.37/0.57 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t44 (not @t43)))) % 0.37/0.57 (step @p46 :rule cnf_or_neg :args (@t44 0)) % 0.37/0.57 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.37/0.57 (step @p48 :rule reordering :premises (@p47) :args ((or @t42 @t44))) % 0.37/0.57 (step @p49 :rule chain_m_resolution :premises (@p48 @p32) :args (@t42 @t35 @t45)) % 0.37/0.57 (step @p50 :rule cnf_equiv_pos1 :args (@t47)) % 0.37/0.57 (step @p51 :rule reordering :premises (@p50) :args ((or @t43 @t46 (not @t47)))) % 0.37/0.57 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p42) :args (@t46 (@list false false) (@list @t42 @t47))) % 0.37/0.57 (step @p53 :rule cong :premises (@p52 @p36) :args (@t32)) % 0.37/0.57 (step @p54 :rule bool-double-not-elim :args (@t32)) % 0.37/0.57 (step @p55 :rule refl :args (@t34)) % 0.37/0.57 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t34 (not @t33)))) % 0.37/0.57 (step @p57 :rule cnf_or_neg :args (@t34 0)) % 0.37/0.57 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.37/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t32 @t34))) % 0.37/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p26) :args (@t32 @t35 @t36)) % 0.37/0.57 (step @p61 :rule true_intro :premises (@p60)) % 0.37/0.57 (step @p62 :rule symm :premises (@p61)) % 0.37/0.57 (step @p63 :rule trans :premises (@p62 @p53 @p35)) % 0.37/0.57 (step @p64 false :rule eq_resolve :premises (@p63 @p14)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------