%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET702+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 : 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 08:48:28 AM UTC 2026 % Result : Theorem 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET702+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 % 0.17/0.35 % Computer : n011.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:09:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.58 % SZS status Theorem % 0.39/0.58 % SZS output start Proof % 0.39/0.58 ( % 0.39/0.58 (declare-sort $$unsorted 0) % 0.39/0.58 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.empty_set $$unsorted) % 0.39/0.58 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.39/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.58 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.58 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.58 (define @t3 () (tptp.member @t2 @t1)) % 0.39/0.58 (define @t4 () (@var "A" $$unsorted)) % 0.39/0.58 (define @t5 () (tptp.member @t2 @t4)) % 0.39/0.58 (define @t6 () (@list @t2)) % 0.39/0.58 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.39/0.58 (define @t8 () (tptp.subset @t4 @t1)) % 0.39/0.58 (define @t9 () (= @t8 @t7)) % 0.39/0.58 (define @t10 () (@list @t4 @t1)) % 0.39/0.58 (define @t11 () (forall @t10 @t9)) % 0.39/0.58 (define @t12 () (@list @t2 @t4)) % 0.39/0.58 (define @t13 () (tptp.intersection @t4 @t1)) % 0.39/0.58 (define @t14 () (@list @t2 @t4 @t1)) % 0.39/0.58 (define @t15 () (@var "E" $$unsorted)) % 0.39/0.58 (define @t16 () (= @t2 @t4)) % 0.39/0.58 (define @t17 () (@var "Y" $$unsorted)) % 0.39/0.58 (define @t18 () (tptp.member @t2 @t17)) % 0.39/0.58 (define @t19 () (tptp.member @t17 @t4)) % 0.39/0.58 (define @t20 () (@list @t17)) % 0.39/0.58 (define @t21 () (forall @t20 (=> @t19 @t18))) % 0.39/0.58 (define @t22 () (tptp.product @t4)) % 0.39/0.58 (define @t23 () (tptp.member @t2 @t22)) % 0.39/0.58 (define @t24 () (= @t23 @t21)) % 0.39/0.58 (define @t25 () (forall @t12 @t24)) % 0.39/0.58 (define @t26 () (forall @t10 (tptp.subset (tptp.intersection @t22 (tptp.product @t1)) (tptp.product @t13)))) % 0.39/0.58 (define @t27 () (@quantifiers_skolemize @t26 1)) % 0.39/0.58 (define @t28 () (@quantifiers_skolemize @t26 0)) % 0.39/0.58 (define @t29 () (tptp.intersection @t28 @t27)) % 0.39/0.58 (define @t30 () (tptp.product @t29)) % 0.39/0.58 (define @t31 () (tptp.product @t27)) % 0.39/0.58 (define @t32 () (tptp.product @t28)) % 0.39/0.58 (define @t33 () (tptp.intersection @t32 @t31)) % 0.39/0.58 (define @t34 () (forall @t6 (or (not (tptp.member @t2 @t33)) (tptp.member @t2 @t30)))) % 0.39/0.58 (define @t35 () (@quantifiers_skolemize @t34 0)) % 0.39/0.58 (define @t36 () (tptp.subset @t33 @t30)) % 0.39/0.58 (define @t37 () (= @t36 @t34)) % 0.39/0.58 (define @t38 () (not @t34)) % 0.39/0.58 (define @t39 () (@list true false)) % 0.39/0.58 (define @t40 () (tptp.member @t35 @t33)) % 0.39/0.58 (define @t41 () (tptp.member @t35 @t30)) % 0.39/0.58 (define @t42 () (not @t40)) % 0.39/0.58 (define @t43 () (or @t42 @t41)) % 0.39/0.58 (define @t44 () (@list true)) % 0.39/0.58 (define @t45 () (@list @t43)) % 0.39/0.58 (define @t46 () (tptp.member @t35 @t31)) % 0.39/0.58 (define @t47 () (and (tptp.member @t35 @t32) @t46)) % 0.39/0.58 (define @t48 () (= @t40 @t47)) % 0.39/0.58 (define @t49 () (@list false false)) % 0.39/0.58 (define @t50 () (@list false)) % 0.39/0.58 (define @t51 () (tptp.member @t35 @t17)) % 0.39/0.58 (define @t52 () (forall @t20 (or (not (tptp.member @t17 @t27)) @t51))) % 0.39/0.58 (define @t53 () (= @t46 @t52)) % 0.39/0.58 (define @t54 () (forall @t20 (or (not (tptp.member @t17 @t29)) @t51))) % 0.39/0.58 (define @t55 () (@quantifiers_skolemize @t54 0)) % 0.39/0.58 (define @t56 () (= @t41 @t54)) % 0.39/0.58 (define @t57 () (not @t54)) % 0.39/0.58 (define @t58 () (tptp.member @t55 @t29)) % 0.39/0.58 (define @t59 () (tptp.member @t35 @t55)) % 0.39/0.58 (define @t60 () (not @t58)) % 0.39/0.58 (define @t61 () (or @t60 @t59)) % 0.39/0.58 (define @t62 () (@list @t61)) % 0.39/0.58 (define @t63 () (tptp.member @t55 @t27)) % 0.39/0.58 (define @t64 () (and (tptp.member @t55 @t28) @t63)) % 0.39/0.58 (define @t65 () (= @t58 @t64)) % 0.39/0.58 (define @t66 () (not @t63)) % 0.39/0.58 (define @t67 () (or @t66 @t59)) % 0.39/0.58 (define @t68 () (not @t67)) % 0.39/0.58 (assume @p1 @t11) % 0.39/0.58 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.39/0.58 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.39/0.58 (assume @p4 (forall @t14 (= (tptp.member @t2 @t13) (and @t5 @t3)))) % 0.39/0.58 (assume @p5 (forall @t14 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.39/0.58 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.39/0.58 (assume @p7 (forall (@list @t1 @t4 @t15) (= (tptp.member @t1 (tptp.difference @t15 @t4)) (and (tptp.member @t1 @t15) (not (tptp.member @t1 @t4)))))) % 0.39/0.58 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.39/0.58 (assume @p9 (forall @t14 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.39/0.58 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.39/0.58 (assume @p11 @t25) % 0.39/0.58 (assume @p12 (not @t26)) % 0.39/0.58 (assume @p13 true) % 0.39/0.58 (step @p14 :rule bool-impl-elim :args (@t19 @t18)) % 0.39/0.58 (step @p15 :rule cong :premises (@p14) :args (@t21)) % 0.39/0.58 (step @p16 :rule refl :args (@t23)) % 0.39/0.58 (step @p17 :rule cong :premises (@p16 @p15) :args (@t24)) % 0.39/0.58 (step @p18 :rule cong :premises (@p17) :args (@t25)) % 0.39/0.58 (step @p19 :rule eq_resolve :premises (@p11 @p18)) % 0.39/0.58 (step @p20 :rule instantiate :premises (@p19) :args ((@list @t35 @t27))) % 0.39/0.58 (step @p21 :rule instantiate :premises (@p4) :args ((@list @t35 @t32 @t31))) % 0.39/0.58 (step @p22 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.58 (step @p23 :rule cong :premises (@p22) :args (@t7)) % 0.39/0.58 (step @p24 :rule refl :args (@t8)) % 0.39/0.58 (step @p25 :rule cong :premises (@p24 @p23) :args (@t9)) % 0.39/0.58 (step @p26 :rule cong :premises (@p25) :args (@t11)) % 0.39/0.58 (step @p27 :rule eq_resolve :premises (@p1 @p26)) % 0.39/0.58 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t33 @t30))) % 0.39/0.58 (step @p29 :rule skolemize :premises (@p12)) % 0.39/0.58 (step @p30 :rule cnf_equiv_pos2 :args (@t37)) % 0.39/0.58 (step @p31 :rule reordering :premises (@p30) :args ((or @t36 @t38 (not @t37)))) % 0.39/0.58 (step @p32 :rule chain_m_resolution :premises (@p31 @p29 @p28) :args (@t38 @t39 (@list @t36 @t37))) % 0.39/0.58 (step @p33 :rule skolemize :premises (@p32)) % 0.39/0.58 (step @p34 :rule bool-double-not-elim :args (@t40)) % 0.39/0.58 (step @p35 :rule refl :args (@t43)) % 0.39/0.58 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t43 (not @t42)))) % 0.39/0.58 (step @p37 :rule cnf_or_neg :args (@t43 0)) % 0.39/0.58 (step @p38 :rule eq_resolve :premises (@p37 @p36)) % 0.39/0.58 (step @p39 :rule reordering :premises (@p38) :args ((or @t40 @t43))) % 0.39/0.58 (step @p40 :rule chain_m_resolution :premises (@p39 @p33) :args (@t40 @t44 @t45)) % 0.39/0.58 (step @p41 :rule cnf_equiv_pos1 :args (@t48)) % 0.39/0.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t42 @t47 (not @t48)))) % 0.39/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p21) :args (@t47 @t49 (@list @t40 @t48))) % 0.39/0.58 (step @p44 :rule cnf_and_pos :args (@t47 1)) % 0.39/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t46 (not @t47)))) % 0.39/0.58 (step @p46 :rule chain_m_resolution :premises (@p45 @p43) :args (@t46 @t50 (@list @t47))) % 0.39/0.58 (step @p47 :rule cnf_equiv_pos1 :args (@t53)) % 0.39/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or (not @t46) @t52 (not @t53)))) % 0.39/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p20) :args (@t52 @t49 (@list @t46 @t53))) % 0.39/0.58 (step @p50 :rule instantiate :premises (@p4) :args ((@list @t55 @t28 @t27))) % 0.39/0.58 (step @p51 :rule instantiate :premises (@p19) :args ((@list @t35 @t29))) % 0.39/0.58 (step @p52 :rule cnf_or_neg :args (@t43 1)) % 0.39/0.58 (step @p53 :rule chain_m_resolution :premises (@p52 @p33) :args ((not @t41) @t44 @t45)) % 0.39/0.58 (step @p54 :rule cnf_equiv_pos2 :args (@t56)) % 0.39/0.58 (step @p55 :rule reordering :premises (@p54) :args ((or @t41 @t57 (not @t56)))) % 0.39/0.58 (step @p56 :rule chain_m_resolution :premises (@p55 @p53 @p51) :args (@t57 @t39 (@list @t41 @t56))) % 0.39/0.58 (step @p57 :rule skolemize :premises (@p56)) % 0.39/0.58 (step @p58 :rule bool-double-not-elim :args (@t58)) % 0.39/0.58 (step @p59 :rule refl :args (@t61)) % 0.39/0.58 (step @p60 :rule nary_cong :premises (@p59 @p58) :args ((or @t61 (not @t60)))) % 0.39/0.58 (step @p61 :rule cnf_or_neg :args (@t61 0)) % 0.39/0.58 (step @p62 :rule eq_resolve :premises (@p61 @p60)) % 0.39/0.58 (step @p63 :rule reordering :premises (@p62) :args ((or @t58 @t61))) % 0.39/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p57) :args (@t58 @t44 @t62)) % 0.39/0.58 (step @p65 :rule cnf_equiv_pos1 :args (@t65)) % 0.39/0.58 (step @p66 :rule reordering :premises (@p65) :args ((or @t60 @t64 (not @t65)))) % 0.39/0.58 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p50) :args (@t64 @t49 (@list @t58 @t65))) % 0.39/0.58 (step @p68 :rule cnf_and_pos :args (@t64 1)) % 0.39/0.58 (step @p69 :rule reordering :premises (@p68) :args ((or @t63 (not @t64)))) % 0.39/0.58 (step @p70 :rule chain_m_resolution :premises (@p69 @p67) :args (@t63 @t50 (@list @t64))) % 0.39/0.58 (step @p71 :rule cnf_or_neg :args (@t61 1)) % 0.39/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p57) :args ((not @t59) @t44 @t62)) % 0.39/0.58 (step @p73 :rule cnf_or_pos :args (@t67)) % 0.39/0.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t59 @t66 @t68))) % 0.39/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p70) :args (@t68 @t39 (@list @t59 @t63))) % 0.39/0.58 (assume-push @p82 @t52) % 0.39/0.58 (step @p77 :rule instantiate :premises (@p49) :args ((@list @t55))) % 0.39/0.58 (step-pop @p83 :rule scope :premises (@p77)) % 0.39/0.58 (step @p78 :rule process_scope :premises (@p83) :args (@t67)) % 0.39/0.58 (step @p80 :rule implies_elim :premises (@p78)) % 0.39/0.58 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p49) :args (false @t39 (@list @t67 @t52))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------