%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET767+4 : 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 : n019.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 08:48:36 AM UTC 2026 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET767+4 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n019.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 16:11:34 EDT 2026 % 0.18/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.pre_order (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.equivalence (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.equivalence_class (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.empty_set $$unsorted) % 0.38/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.partition (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.disjoint (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.58 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.58 (define @t6 () (@list @t2)) % 0.38/0.58 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.58 (define @t8 () (tptp.subset @t4 @t1)) % 0.38/0.58 (define @t9 () (= @t8 @t7)) % 0.38/0.58 (define @t10 () (@list @t4 @t1)) % 0.38/0.58 (define @t11 () (forall @t10 @t9)) % 0.38/0.58 (define @t12 () (@list @t2 @t4)) % 0.38/0.58 (define @t13 () (and @t5 @t3)) % 0.38/0.58 (define @t14 () (@list @t2 @t4 @t1)) % 0.38/0.58 (define @t15 () (@var "E" $$unsorted)) % 0.38/0.58 (define @t16 () (= @t2 @t4)) % 0.38/0.58 (define @t17 () (@var "Y" $$unsorted)) % 0.38/0.58 (define @t18 () (tptp.member @t2 @t17)) % 0.38/0.58 (define @t19 () (tptp.member @t17 @t4)) % 0.38/0.58 (define @t20 () (@list @t17)) % 0.38/0.58 (define @t21 () (exists @t20 (and @t19 @t18))) % 0.38/0.58 (define @t22 () (@var "Z" $$unsorted)) % 0.38/0.58 (define @t23 () (and @t5 @t19)) % 0.38/0.58 (define @t24 () (@list @t2 @t17)) % 0.38/0.58 (define @t25 () (tptp.member @t2 @t15)) % 0.38/0.58 (define @t26 () (@var "R" $$unsorted)) % 0.38/0.58 (define @t27 () (tptp.apply @t26 @t2 @t17)) % 0.38/0.58 (define @t28 () (=> (and @t27 (tptp.apply @t26 @t17 @t22)) (tptp.apply @t26 @t2 @t22))) % 0.38/0.58 (define @t29 () (@list @t2 @t17 @t22)) % 0.38/0.58 (define @t30 () (tptp.apply @t26 @t2 @t2)) % 0.38/0.58 (define @t31 () (tptp.equivalence_class @t4 @t15 @t26)) % 0.38/0.58 (define @t32 () (tptp.subset @t31 @t15)) % 0.38/0.58 (define @t33 () (tptp.equivalence @t26 @t15)) % 0.38/0.58 (define @t34 () (@list @t15 @t26 @t4)) % 0.38/0.58 (define @t35 () (forall @t34 (=> @t33 @t32))) % 0.38/0.58 (define @t36 () (not @t35)) % 0.38/0.58 (define @t37 () (forall @t34 (or (not @t33) @t32))) % 0.38/0.58 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.38/0.58 (define @t39 () (@quantifiers_skolemize @t37 1)) % 0.38/0.58 (define @t40 () (@quantifiers_skolemize @t37 2)) % 0.38/0.58 (define @t41 () (tptp.equivalence_class @t40 @t38 @t39)) % 0.38/0.58 (define @t42 () (tptp.subset @t41 @t38)) % 0.38/0.58 (define @t43 () (or (not (tptp.equivalence @t39 @t38)) @t42)) % 0.38/0.58 (define @t44 () (@list true)) % 0.38/0.58 (define @t45 () (forall @t6 (or (not (tptp.member @t2 @t41)) (tptp.member @t2 @t38)))) % 0.38/0.58 (define @t46 () (= @t42 @t45)) % 0.38/0.58 (define @t47 () (not @t45)) % 0.38/0.58 (define @t48 () (@quantifiers_skolemize @t45 0)) % 0.38/0.58 (define @t49 () (tptp.member @t48 @t41)) % 0.38/0.58 (define @t50 () (tptp.member @t48 @t38)) % 0.38/0.58 (define @t51 () (not @t49)) % 0.38/0.58 (define @t52 () (or @t51 @t50)) % 0.38/0.58 (define @t53 () (@list @t52)) % 0.38/0.58 (define @t54 () (and @t50 (tptp.apply @t39 @t40 @t48))) % 0.38/0.58 (define @t55 () (not @t54)) % 0.38/0.58 (define @t56 () (= @t49 @t54)) % 0.38/0.58 (assume @p1 @t11) % 0.38/0.58 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.38/0.58 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.38/0.58 (assume @p4 (forall @t14 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) @t13))) % 0.38/0.58 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.38/0.58 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.38/0.58 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.38/0.58 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.38/0.58 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.38/0.58 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) @t21))) % 0.38/0.58 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.38/0.58 (assume @p12 (forall @t10 (= (tptp.disjoint @t4 @t1) (not (exists @t6 @t13))))) % 0.38/0.58 (assume @p13 (forall (@list @t4 @t15) (= (tptp.partition @t4 @t15) (and (forall @t6 (=> @t5 (tptp.subset @t2 @t15))) (forall @t6 (=> @t25 @t21)) (forall @t24 (=> @t23 (=> (exists (@list @t22) (and (tptp.member @t22 @t2) (tptp.member @t22 @t17))) (= @t2 @t17)))))))) % 0.38/0.58 (assume @p14 (forall (@list @t4 @t26) (= (tptp.equivalence @t26 @t4) (and (forall @t6 (=> @t5 @t30)) (forall @t24 (=> @t23 (=> @t27 (tptp.apply @t26 @t17 @t2)))) (forall @t29 (=> (and @t5 @t19 (tptp.member @t22 @t4)) @t28)))))) % 0.38/0.58 (assume @p15 (forall (@list @t26 @t15 @t4 @t2) (= (tptp.member @t2 @t31) (and @t25 (tptp.apply @t26 @t4 @t2))))) % 0.38/0.58 (assume @p16 (forall (@list @t26 @t15) (= (tptp.pre_order @t26 @t15) (and (forall @t6 (=> @t25 @t30)) (forall @t29 (=> (and @t25 (tptp.member @t17 @t15) (tptp.member @t22 @t15)) @t28)))))) % 0.38/0.58 (assume @p17 @t36) % 0.38/0.58 (assume @p18 true) % 0.38/0.58 (step @p19 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.58 (step @p20 :rule cong :premises (@p19) :args (@t7)) % 0.38/0.58 (step @p21 :rule refl :args (@t8)) % 0.38/0.58 (step @p22 :rule cong :premises (@p21 @p20) :args (@t9)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22) :args (@t11)) % 0.38/0.58 (step @p24 :rule eq_resolve :premises (@p1 @p23)) % 0.38/0.58 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t41 @t38))) % 0.38/0.58 (step @p26 :rule bool-impl-elim :args (@t33 @t32)) % 0.38/0.58 (step @p27 :rule cong :premises (@p26) :args (@t35)) % 0.38/0.58 (step @p28 :rule cong :premises (@p27) :args (@t36)) % 0.38/0.58 (step @p29 :rule eq_resolve :premises (@p17 @p28)) % 0.38/0.58 (step @p30 :rule skolemize :premises (@p29)) % 0.38/0.58 (step @p31 :rule cnf_or_neg :args (@t43 1)) % 0.38/0.58 (step @p32 :rule chain_m_resolution :premises (@p31 @p30) :args ((not @t42) @t44 (@list @t43))) % 0.38/0.58 (step @p33 :rule cnf_equiv_pos2 :args (@t46)) % 0.38/0.58 (step @p34 :rule reordering :premises (@p33) :args ((or @t42 @t47 (not @t46)))) % 0.38/0.58 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p25) :args (@t47 (@list true false) (@list @t42 @t46))) % 0.38/0.58 (step @p36 :rule skolemize :premises (@p35)) % 0.38/0.58 (step @p37 :rule bool-double-not-elim :args (@t49)) % 0.38/0.58 (step @p38 :rule refl :args (@t52)) % 0.38/0.58 (step @p39 :rule nary_cong :premises (@p38 @p37) :args ((or @t52 (not @t51)))) % 0.38/0.58 (step @p40 :rule cnf_or_neg :args (@t52 0)) % 0.38/0.58 (step @p41 :rule eq_resolve :premises (@p40 @p39)) % 0.38/0.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t49 @t52))) % 0.38/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p36) :args (@t49 @t44 @t53)) % 0.38/0.58 (step @p44 :rule cnf_or_neg :args (@t52 1)) % 0.38/0.58 (step @p45 :rule chain_m_resolution :premises (@p44 @p36) :args ((not @t50) @t44 @t53)) % 0.38/0.58 (step @p46 :rule cnf_and_pos :args (@t54 0)) % 0.38/0.58 (step @p47 :rule reordering :premises (@p46) :args ((or @t50 @t55))) % 0.38/0.58 (step @p48 :rule chain_m_resolution :premises (@p47 @p45) :args (@t55 @t44 (@list @t50))) % 0.38/0.58 (step @p49 :rule instantiate :premises (@p15) :args ((@list @t39 @t38 @t40 @t48))) % 0.38/0.58 (step @p50 :rule cnf_equiv_pos1 :args (@t56)) % 0.38/0.58 (step @p51 :rule reordering :premises (@p50) :args ((or @t51 @t54 (not @t56)))) % 0.38/0.58 (step @p52 false :rule chain_m_resolution :premises (@p51 @p49 @p48 @p43) :args (false (@list false true false) (@list @t56 @t54 @t49))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------