%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET603+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 : n011.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 08:48:11 AM UTC 2026 % Result : Theorem 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET603+4 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.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 16:04:05 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Theorem % 0.37/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.empty_set $$unsorted) % 0.37/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.37/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.56 (define @t4 () (@var "A" $$unsorted)) % 0.37/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.56 (define @t6 () (@list @t2)) % 0.37/0.56 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.37/0.56 (define @t8 () (tptp.subset @t4 @t1)) % 0.37/0.56 (define @t9 () (= @t8 @t7)) % 0.37/0.56 (define @t10 () (@list @t4 @t1)) % 0.37/0.56 (define @t11 () (forall @t10 @t9)) % 0.37/0.56 (define @t12 () (@list @t2 @t4)) % 0.37/0.56 (define @t13 () (@list @t2 @t4 @t1)) % 0.37/0.56 (define @t14 () (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.37/0.56 (define @t15 () (@var "E" $$unsorted)) % 0.37/0.56 (define @t16 () (= @t2 @t4)) % 0.37/0.56 (define @t17 () (@var "Y" $$unsorted)) % 0.37/0.56 (define @t18 () (tptp.member @t2 @t17)) % 0.37/0.56 (define @t19 () (tptp.member @t17 @t4)) % 0.37/0.56 (define @t20 () (@list @t17)) % 0.37/0.56 (define @t21 () (forall (@list @t15) (tptp.equal_set (tptp.difference @t15 tptp.empty_set) @t15))) % 0.37/0.56 (define @t22 () (@quantifiers_skolemize @t21 0)) % 0.37/0.56 (define @t23 () (tptp.difference @t22 tptp.empty_set)) % 0.37/0.56 (define @t24 () (tptp.member @t2 @t23)) % 0.37/0.56 (define @t25 () (tptp.member @t2 @t22)) % 0.37/0.56 (define @t26 () (forall @t6 (or (not @t25) @t24))) % 0.37/0.56 (define @t27 () (@quantifiers_skolemize @t26 0)) % 0.37/0.56 (define @t28 () (@list @t23 @t22)) % 0.37/0.56 (define @t29 () (forall @t6 (or (not @t24) @t25))) % 0.37/0.56 (define @t30 () (@quantifiers_skolemize @t29 0)) % 0.37/0.56 (define @t31 () (tptp.member @t30 @t23)) % 0.37/0.56 (define @t32 () (tptp.member @t30 @t22)) % 0.37/0.56 (define @t33 () (not @t31)) % 0.37/0.56 (define @t34 () (or @t33 @t32)) % 0.37/0.56 (define @t35 () (and @t32 (not (tptp.member @t30 tptp.empty_set)))) % 0.37/0.56 (define @t36 () (= @t31 @t35)) % 0.37/0.56 (define @t37 () (not @t34)) % 0.37/0.56 (define @t38 () (not @t29)) % 0.37/0.56 (define @t39 () (tptp.subset @t23 @t22)) % 0.37/0.56 (define @t40 () (= @t39 @t29)) % 0.37/0.56 (define @t41 () (@list false false)) % 0.37/0.56 (define @t42 () (tptp.subset @t22 @t23)) % 0.37/0.56 (define @t43 () (and @t39 @t42)) % 0.37/0.56 (define @t44 () (tptp.equal_set @t23 @t22)) % 0.37/0.56 (define @t45 () (= @t44 @t43)) % 0.37/0.56 (define @t46 () (not @t43)) % 0.37/0.56 (define @t47 () (@list true false)) % 0.37/0.56 (define @t48 () (= @t42 @t26)) % 0.37/0.56 (define @t49 () (not @t26)) % 0.37/0.56 (define @t50 () (tptp.member @t27 @t23)) % 0.37/0.56 (define @t51 () (tptp.member @t27 @t22)) % 0.37/0.56 (define @t52 () (not @t51)) % 0.37/0.56 (define @t53 () (or @t52 @t50)) % 0.37/0.56 (define @t54 () (not @t53)) % 0.37/0.56 (define @t55 () (@list true)) % 0.37/0.56 (define @t56 () (@list @t53)) % 0.37/0.56 (define @t57 () (tptp.member @t27 tptp.empty_set)) % 0.37/0.56 (define @t58 () (not @t57)) % 0.37/0.56 (define @t59 () (and @t51 @t58)) % 0.37/0.56 (define @t60 () (= @t50 @t59)) % 0.37/0.56 (define @t61 () (not @t59)) % 0.37/0.56 (assume @p1 @t11) % 0.37/0.56 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.37/0.56 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.37/0.56 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.37/0.56 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.37/0.56 (assume @p6 @t14) % 0.37/0.56 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.37/0.56 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.37/0.56 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.37/0.56 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.37/0.56 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.37/0.56 (assume @p12 (not @t21)) % 0.37/0.56 (assume @p13 true) % 0.37/0.56 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t27 tptp.empty_set @t22))) % 0.37/0.56 (step @p15 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.56 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.37/0.56 (step @p17 :rule refl :args (@t8)) % 0.37/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args (@t9)) % 0.37/0.56 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.37/0.56 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.37/0.56 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t22 @t23))) % 0.37/0.56 (step @p22 :rule instantiate :premises (@p20) :args (@t28)) % 0.37/0.56 (step @p23 :rule bool-double-not-elim :args (@t31)) % 0.37/0.56 (step @p24 :rule refl :args (@t34)) % 0.37/0.56 (step @p25 :rule nary_cong :premises (@p24 @p23) :args ((or @t34 (not @t33)))) % 0.37/0.56 (step @p26 :rule cnf_or_neg :args (@t34 0)) % 0.37/0.56 (step @p27 :rule eq_resolve :premises (@p26 @p25)) % 0.37/0.56 (step @p28 :rule reordering :premises (@p27) :args ((or @t31 @t34))) % 0.37/0.56 (step @p29 :rule cnf_or_neg :args (@t34 1)) % 0.37/0.56 (step @p30 :rule instantiate :premises (@p7) :args ((@list @t30 tptp.empty_set @t22))) % 0.37/0.56 (step @p31 :rule cnf_equiv_pos1 :args (@t36)) % 0.37/0.56 (step @p32 :rule reordering :premises (@p31) :args ((or @t33 @t35 (not @t36)))) % 0.37/0.56 (step @p33 :rule cnf_and_pos :args (@t35 0)) % 0.37/0.56 (step @p34 :rule reordering :premises (@p33) :args ((or @t32 (not @t35)))) % 0.37/0.56 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p30 @p29 @p28) :args (@t34 (@list false false true false) (@list @t35 @t36 @t32 @t31))) % 0.37/0.56 (step @p36 :rule refl :args (@t37)) % 0.37/0.56 (step @p37 :rule bool-double-not-elim :args (@t29)) % 0.37/0.56 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or (not @t38) @t37))) % 0.37/0.56 (assume-push @p95 @t38) % 0.37/0.56 (step @p40 :rule skolemize :premises (@p95)) % 0.37/0.56 (step-pop @p96 :rule scope :premises (@p40)) % 0.37/0.56 (step @p41 :rule process_scope :premises (@p96) :args (@t37)) % 0.37/0.56 (step @p43 :rule implies_elim :premises (@p41)) % 0.37/0.56 (step @p44 :rule eq_resolve :premises (@p43 @p38)) % 0.37/0.56 (step @p45 :rule chain_m_resolution :premises (@p44 @p35) :args (@t29 (@list false) (@list @t34))) % 0.37/0.56 (step @p46 :rule cnf_equiv_pos2 :args (@t40)) % 0.37/0.56 (step @p47 :rule reordering :premises (@p46) :args ((or @t39 @t38 (not @t40)))) % 0.37/0.56 (step @p48 :rule chain_m_resolution :premises (@p47 @p45 @p22) :args (@t39 @t41 (@list @t29 @t40))) % 0.37/0.56 (step @p49 :rule instantiate :premises (@p2) :args (@t28)) % 0.37/0.56 (step @p50 :rule skolemize :premises (@p12)) % 0.37/0.56 (step @p51 :rule cnf_equiv_pos2 :args (@t45)) % 0.37/0.56 (step @p52 :rule reordering :premises (@p51) :args ((or @t44 @t46 (not @t45)))) % 0.37/0.56 (step @p53 :rule chain_m_resolution :premises (@p52 @p50 @p49) :args (@t46 @t47 (@list @t44 @t45))) % 0.37/0.56 (step @p54 :rule cnf_and_neg :args (@t43)) % 0.37/0.56 (step @p55 :rule chain_m_resolution :premises (@p54 @p53 @p48) :args ((not @t42) @t47 (@list @t43 @t39))) % 0.37/0.56 (step @p56 :rule cnf_equiv_pos2 :args (@t48)) % 0.37/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or @t42 @t49 (not @t48)))) % 0.37/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p55 @p21) :args (@t49 @t47 (@list @t42 @t48))) % 0.37/0.56 (step @p59 :rule refl :args (@t54)) % 0.37/0.56 (step @p60 :rule bool-double-not-elim :args (@t26)) % 0.37/0.56 (step @p61 :rule nary_cong :premises (@p60 @p59) :args ((or (not @t49) @t54))) % 0.37/0.56 (assume-push @p97 @t49) % 0.37/0.56 (step @p63 :rule skolemize :premises (@p97)) % 0.37/0.56 (step-pop @p98 :rule scope :premises (@p63)) % 0.37/0.56 (step @p64 :rule process_scope :premises (@p98) :args (@t54)) % 0.37/0.56 (step @p66 :rule implies_elim :premises (@p64)) % 0.37/0.56 (step @p67 :rule eq_resolve :premises (@p66 @p61)) % 0.37/0.56 (step @p68 :rule chain_m_resolution :premises (@p67 @p58) :args (@t54 @t55 (@list @t26))) % 0.37/0.56 (step @p69 :rule cnf_or_neg :args (@t53 1)) % 0.37/0.56 (step @p70 :rule chain_m_resolution :premises (@p69 @p68) :args ((not @t50) @t55 @t56)) % 0.37/0.56 (step @p71 :rule cnf_equiv_pos2 :args (@t60)) % 0.37/0.56 (step @p72 :rule reordering :premises (@p71) :args ((or @t50 @t61 (not @t60)))) % 0.37/0.56 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p14) :args (@t61 @t47 (@list @t50 @t60))) % 0.37/0.56 (step @p74 :rule bool-double-not-elim :args (@t51)) % 0.37/0.56 (step @p75 :rule refl :args (@t53)) % 0.37/0.56 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or @t53 (not @t52)))) % 0.37/0.56 (step @p77 :rule cnf_or_neg :args (@t53 0)) % 0.37/0.56 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.37/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t51 @t53))) % 0.37/0.57 (step @p80 :rule chain_m_resolution :premises (@p79 @p68) :args (@t51 @t55 @t56)) % 0.37/0.57 (step @p81 :rule bool-double-not-elim :args (@t57)) % 0.37/0.57 (step @p82 :rule refl :args (@t52)) % 0.37/0.57 (step @p83 :rule refl :args (@t59)) % 0.37/0.57 (step @p84 :rule nary_cong :premises (@p83 @p82 @p81) :args ((or @t59 @t52 (not @t58)))) % 0.37/0.57 (step @p85 :rule cnf_and_neg :args (@t59)) % 0.37/0.57 (step @p86 :rule eq_resolve :premises (@p85 @p84)) % 0.37/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t52 @t57 @t59))) % 0.37/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p80 @p73) :args (@t57 (@list false true) (@list @t51 @t59))) % 0.37/0.57 (assume-push @p99 @t14) % 0.37/0.57 (step @p90 :rule instantiate :premises (@p6) :args ((@list @t27))) % 0.37/0.57 (step-pop @p100 :rule scope :premises (@p90)) % 0.37/0.57 (step @p91 :rule process_scope :premises (@p100) :args (@t58)) % 0.37/0.57 (step @p93 :rule implies_elim :premises (@p91)) % 0.37/0.57 (step @p94 false :rule chain_m_resolution :premises (@p93 @p88 @p6) :args (false @t41 (@list @t57 @t14))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------