%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET696+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 : n006.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 08:48:27 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 : SET696+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 : n006.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 16:07:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----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 $$unsorted 0) % 0.38/0.56 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.empty_set $$unsorted) % 0.38/0.56 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.56 (define @t2 () (@var "X" $$unsorted)) % 0.38/0.56 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.56 (define @t4 () (@var "A" $$unsorted)) % 0.38/0.56 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.56 (define @t6 () (@list @t2)) % 0.38/0.56 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.56 (define @t8 () (tptp.subset @t4 @t1)) % 0.38/0.56 (define @t9 () (= @t8 @t7)) % 0.38/0.56 (define @t10 () (@list @t4 @t1)) % 0.38/0.56 (define @t11 () (forall @t10 @t9)) % 0.38/0.56 (define @t12 () (@list @t2 @t4)) % 0.38/0.56 (define @t13 () (@list @t2 @t4 @t1)) % 0.38/0.56 (define @t14 () (tptp.member @t2 tptp.empty_set)) % 0.38/0.56 (define @t15 () (not @t14)) % 0.38/0.56 (define @t16 () (@var "E" $$unsorted)) % 0.38/0.56 (define @t17 () (tptp.difference @t16 @t4)) % 0.38/0.56 (define @t18 () (= @t2 @t4)) % 0.38/0.56 (define @t19 () (@var "Y" $$unsorted)) % 0.38/0.56 (define @t20 () (tptp.member @t2 @t19)) % 0.38/0.56 (define @t21 () (tptp.member @t19 @t4)) % 0.38/0.56 (define @t22 () (@list @t19)) % 0.38/0.56 (define @t23 () (tptp.equal_set (tptp.intersection @t17 @t4) tptp.empty_set)) % 0.38/0.56 (define @t24 () (tptp.subset @t4 @t16)) % 0.38/0.56 (define @t25 () (@list @t4 @t16)) % 0.38/0.56 (define @t26 () (forall @t25 (=> @t24 @t23))) % 0.38/0.56 (define @t27 () (not @t26)) % 0.38/0.56 (define @t28 () (forall @t25 (or (not @t24) @t23))) % 0.38/0.56 (define @t29 () (@quantifiers_skolemize @t28 0)) % 0.38/0.56 (define @t30 () (@quantifiers_skolemize @t28 1)) % 0.38/0.56 (define @t31 () (tptp.difference @t30 @t29)) % 0.38/0.56 (define @t32 () (tptp.intersection @t31 @t29)) % 0.38/0.56 (define @t33 () (tptp.member @t2 @t32)) % 0.38/0.56 (define @t34 () (forall @t6 (or (not @t33) @t14))) % 0.38/0.56 (define @t35 () (@quantifiers_skolemize @t34 0)) % 0.38/0.56 (define @t36 () (@list @t32 tptp.empty_set)) % 0.38/0.56 (define @t37 () (forall @t6 (or @t15 @t33))) % 0.38/0.56 (define @t38 () (@quantifiers_skolemize @t37 0)) % 0.38/0.56 (define @t39 () (tptp.member @t38 tptp.empty_set)) % 0.38/0.56 (define @t40 () (not @t39)) % 0.38/0.56 (define @t41 () (or @t40 (tptp.member @t38 @t32))) % 0.38/0.56 (define @t42 () (@list true)) % 0.38/0.56 (define @t43 () (not @t41)) % 0.38/0.56 (define @t44 () (not @t37)) % 0.38/0.56 (define @t45 () (@list false)) % 0.38/0.56 (define @t46 () (tptp.subset tptp.empty_set @t32)) % 0.38/0.56 (define @t47 () (= @t46 @t37)) % 0.38/0.56 (define @t48 () (@list false false)) % 0.38/0.56 (define @t49 () (tptp.equal_set @t32 tptp.empty_set)) % 0.38/0.56 (define @t50 () (or (not (tptp.subset @t29 @t30)) @t49)) % 0.38/0.56 (define @t51 () (tptp.subset @t32 tptp.empty_set)) % 0.38/0.56 (define @t52 () (and @t51 @t46)) % 0.38/0.56 (define @t53 () (= @t49 @t52)) % 0.38/0.56 (define @t54 () (not @t52)) % 0.38/0.56 (define @t55 () (@list true false)) % 0.38/0.56 (define @t56 () (= @t51 @t34)) % 0.38/0.56 (define @t57 () (not @t34)) % 0.38/0.56 (define @t58 () (tptp.member @t35 @t32)) % 0.38/0.56 (define @t59 () (not @t58)) % 0.38/0.56 (define @t60 () (or @t59 (tptp.member @t35 tptp.empty_set))) % 0.38/0.56 (define @t61 () (not @t60)) % 0.38/0.56 (define @t62 () (tptp.member @t35 @t29)) % 0.38/0.56 (define @t63 () (tptp.member @t35 @t31)) % 0.38/0.56 (define @t64 () (and @t63 @t62)) % 0.38/0.56 (define @t65 () (= @t58 @t64)) % 0.38/0.56 (define @t66 () (not @t64)) % 0.38/0.56 (define @t67 () (@list @t64)) % 0.38/0.56 (define @t68 () (not @t62)) % 0.38/0.56 (define @t69 () (and (tptp.member @t35 @t30) @t68)) % 0.38/0.56 (define @t70 () (not @t69)) % 0.38/0.56 (define @t71 () (= @t63 @t69)) % 0.38/0.56 (assume @p1 @t11) % 0.38/0.56 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.38/0.56 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.38/0.56 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.38/0.56 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.38/0.56 (assume @p6 (forall @t6 @t15)) % 0.38/0.56 (assume @p7 (forall (@list @t1 @t4 @t16) (= (tptp.member @t1 @t17) (and (tptp.member @t1 @t16) (not (tptp.member @t1 @t4)))))) % 0.38/0.56 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t18))) % 0.38/0.56 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t18 (= @t2 @t1))))) % 0.38/0.56 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t22 (and @t21 @t20))))) % 0.38/0.56 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t22 (=> @t21 @t20))))) % 0.38/0.56 (assume @p12 @t27) % 0.38/0.56 (assume @p13 true) % 0.38/0.56 (step @p14 :rule instantiate :premises (@p4) :args ((@list @t35 @t31 @t29))) % 0.38/0.56 (step @p15 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.56 (step @p16 :rule cong :premises (@p15) :args (@t7)) % 0.38/0.56 (step @p17 :rule refl :args (@t8)) % 0.38/0.56 (step @p18 :rule cong :premises (@p17 @p16) :args (@t9)) % 0.38/0.56 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.38/0.56 (step @p20 :rule eq_resolve :premises (@p1 @p19)) % 0.38/0.56 (step @p21 :rule instantiate :premises (@p20) :args (@t36)) % 0.38/0.56 (step @p22 :rule instantiate :premises (@p20) :args ((@list tptp.empty_set @t32))) % 0.38/0.56 (step @p23 :rule instantiate :premises (@p6) :args ((@list @t38))) % 0.38/0.56 (step @p24 :rule bool-double-not-elim :args (@t39)) % 0.38/0.56 (step @p25 :rule refl :args (@t41)) % 0.38/0.56 (step @p26 :rule nary_cong :premises (@p25 @p24) :args ((or @t41 (not @t40)))) % 0.38/0.56 (step @p27 :rule cnf_or_neg :args (@t41 0)) % 0.38/0.56 (step @p28 :rule eq_resolve :premises (@p27 @p26)) % 0.38/0.56 (step @p29 :rule reordering :premises (@p28) :args ((or @t39 @t41))) % 0.38/0.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p23) :args (@t41 @t42 (@list @t39))) % 0.38/0.56 (step @p31 :rule refl :args (@t43)) % 0.38/0.56 (step @p32 :rule bool-double-not-elim :args (@t37)) % 0.38/0.56 (step @p33 :rule nary_cong :premises (@p32 @p31) :args ((or (not @t44) @t43))) % 0.38/0.56 (assume-push @p93 @t44) % 0.38/0.56 (step @p35 :rule skolemize :premises (@p93)) % 0.38/0.56 (step-pop @p94 :rule scope :premises (@p35)) % 0.38/0.56 (step @p36 :rule process_scope :premises (@p94) :args (@t43)) % 0.38/0.56 (step @p38 :rule implies_elim :premises (@p36)) % 0.38/0.56 (step @p39 :rule eq_resolve :premises (@p38 @p33)) % 0.38/0.56 (step @p40 :rule chain_m_resolution :premises (@p39 @p30) :args (@t37 @t45 (@list @t41))) % 0.38/0.56 (step @p41 :rule cnf_equiv_pos2 :args (@t47)) % 0.38/0.56 (step @p42 :rule reordering :premises (@p41) :args ((or @t46 @t44 (not @t47)))) % 0.38/0.56 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p22) :args (@t46 @t48 (@list @t37 @t47))) % 0.38/0.56 (step @p44 :rule instantiate :premises (@p2) :args (@t36)) % 0.38/0.56 (step @p45 :rule bool-impl-elim :args (@t24 @t23)) % 0.38/0.56 (step @p46 :rule cong :premises (@p45) :args (@t26)) % 0.38/0.56 (step @p47 :rule cong :premises (@p46) :args (@t27)) % 0.38/0.56 (step @p48 :rule eq_resolve :premises (@p12 @p47)) % 0.38/0.56 (step @p49 :rule skolemize :premises (@p48)) % 0.38/0.56 (step @p50 :rule cnf_or_neg :args (@t50 1)) % 0.38/0.56 (step @p51 :rule chain_m_resolution :premises (@p50 @p49) :args ((not @t49) @t42 (@list @t50))) % 0.38/0.56 (step @p52 :rule cnf_equiv_pos2 :args (@t53)) % 0.38/0.56 (step @p53 :rule reordering :premises (@p52) :args ((or @t49 @t54 (not @t53)))) % 0.38/0.56 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p44) :args (@t54 @t55 (@list @t49 @t53))) % 0.38/0.56 (step @p55 :rule cnf_and_neg :args (@t52)) % 0.38/0.56 (step @p56 :rule chain_m_resolution :premises (@p55 @p54 @p43) :args ((not @t51) @t55 (@list @t52 @t46))) % 0.38/0.56 (step @p57 :rule cnf_equiv_pos2 :args (@t56)) % 0.38/0.56 (step @p58 :rule reordering :premises (@p57) :args ((or @t51 @t57 (not @t56)))) % 0.38/0.56 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p21) :args (@t57 @t55 (@list @t51 @t56))) % 0.38/0.56 (step @p60 :rule refl :args (@t61)) % 0.38/0.56 (step @p61 :rule bool-double-not-elim :args (@t34)) % 0.38/0.56 (step @p62 :rule nary_cong :premises (@p61 @p60) :args ((or (not @t57) @t61))) % 0.38/0.56 (assume-push @p95 @t57) % 0.38/0.56 (step @p64 :rule skolemize :premises (@p95)) % 0.38/0.56 (step-pop @p96 :rule scope :premises (@p64)) % 0.38/0.56 (step @p65 :rule process_scope :premises (@p96) :args (@t61)) % 0.38/0.56 (step @p67 :rule implies_elim :premises (@p65)) % 0.38/0.56 (step @p68 :rule eq_resolve :premises (@p67 @p62)) % 0.38/0.56 (step @p69 :rule chain_m_resolution :premises (@p68 @p59) :args (@t61 @t42 (@list @t34))) % 0.38/0.56 (step @p70 :rule bool-double-not-elim :args (@t58)) % 0.38/0.56 (step @p71 :rule refl :args (@t60)) % 0.38/0.56 (step @p72 :rule nary_cong :premises (@p71 @p70) :args ((or @t60 (not @t59)))) % 0.38/0.56 (step @p73 :rule cnf_or_neg :args (@t60 0)) % 0.38/0.56 (step @p74 :rule eq_resolve :premises (@p73 @p72)) % 0.38/0.57 (step @p75 :rule reordering :premises (@p74) :args ((or @t58 @t60))) % 0.38/0.57 (step @p76 :rule chain_m_resolution :premises (@p75 @p69) :args (@t58 @t42 (@list @t60))) % 0.38/0.57 (step @p77 :rule cnf_equiv_pos1 :args (@t65)) % 0.38/0.57 (step @p78 :rule reordering :premises (@p77) :args ((or @t59 @t64 (not @t65)))) % 0.38/0.57 (step @p79 :rule chain_m_resolution :premises (@p78 @p76 @p14) :args (@t64 @t48 (@list @t58 @t65))) % 0.38/0.57 (step @p80 :rule cnf_and_pos :args (@t64 0)) % 0.38/0.57 (step @p81 :rule reordering :premises (@p80) :args ((or @t63 @t66))) % 0.38/0.57 (step @p82 :rule chain_m_resolution :premises (@p81 @p79) :args (@t63 @t45 @t67)) % 0.38/0.57 (step @p83 :rule cnf_and_pos :args (@t64 1)) % 0.38/0.57 (step @p84 :rule reordering :premises (@p83) :args ((or @t62 @t66))) % 0.38/0.57 (step @p85 :rule chain_m_resolution :premises (@p84 @p79) :args (@t62 @t45 @t67)) % 0.38/0.57 (step @p86 :rule cnf_and_pos :args (@t69 1)) % 0.38/0.57 (step @p87 :rule reordering :premises (@p86) :args ((or @t68 @t70))) % 0.38/0.57 (step @p88 :rule chain_m_resolution :premises (@p87 @p85) :args (@t70 @t45 (@list @t62))) % 0.38/0.57 (step @p89 :rule instantiate :premises (@p7) :args ((@list @t35 @t29 @t30))) % 0.38/0.57 (step @p90 :rule cnf_equiv_pos1 :args (@t71)) % 0.38/0.57 (step @p91 :rule reordering :premises (@p90) :args ((or (not @t63) @t69 (not @t71)))) % 0.38/0.57 (step @p92 false :rule chain_m_resolution :premises (@p91 @p89 @p88 @p82) :args (false (@list false true false) (@list @t71 @t69 @t63))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------