%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET595+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 : n009.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 08:48:09 AM UTC 2026 % Result : Theorem 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : SET595+4 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.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 16:03:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Theorem % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.product (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.empty_set $$unsorted) % 0.39/0.59 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.power_set (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.equal_set (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.sum (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.59 (define @t1 () (@var "B" $$unsorted)) % 0.39/0.59 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.59 (define @t3 () (tptp.member @t2 @t1)) % 0.39/0.59 (define @t4 () (@var "A" $$unsorted)) % 0.39/0.59 (define @t5 () (tptp.member @t2 @t4)) % 0.39/0.59 (define @t6 () (@list @t2)) % 0.39/0.59 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.39/0.59 (define @t8 () (tptp.subset @t4 @t1)) % 0.39/0.59 (define @t9 () (= @t8 @t7)) % 0.39/0.59 (define @t10 () (@list @t4 @t1)) % 0.39/0.59 (define @t11 () (forall @t10 @t9)) % 0.39/0.59 (define @t12 () (@list @t2 @t4)) % 0.39/0.59 (define @t13 () (@list @t2 @t4 @t1)) % 0.39/0.59 (define @t14 () (@var "E" $$unsorted)) % 0.39/0.59 (define @t15 () (tptp.difference @t14 @t4)) % 0.39/0.59 (define @t16 () (= @t2 @t4)) % 0.39/0.59 (define @t17 () (@var "Y" $$unsorted)) % 0.39/0.59 (define @t18 () (tptp.member @t2 @t17)) % 0.39/0.59 (define @t19 () (tptp.member @t17 @t4)) % 0.39/0.59 (define @t20 () (@list @t17)) % 0.39/0.59 (define @t21 () (tptp.equal_set (tptp.union @t15 @t4) @t14)) % 0.39/0.59 (define @t22 () (tptp.subset @t4 @t14)) % 0.39/0.59 (define @t23 () (@list @t4 @t14)) % 0.39/0.59 (define @t24 () (forall @t23 (=> @t22 @t21))) % 0.39/0.59 (define @t25 () (not @t24)) % 0.39/0.59 (define @t26 () (forall @t23 (or (not @t22) @t21))) % 0.39/0.59 (define @t27 () (@quantifiers_skolemize @t26 1)) % 0.39/0.59 (define @t28 () (@quantifiers_skolemize @t26 0)) % 0.39/0.59 (define @t29 () (tptp.difference @t27 @t28)) % 0.39/0.59 (define @t30 () (tptp.union @t29 @t28)) % 0.39/0.59 (define @t31 () (@list @t30 @t27)) % 0.39/0.59 (define @t32 () (tptp.member @t2 @t30)) % 0.39/0.59 (define @t33 () (tptp.member @t2 @t27)) % 0.39/0.59 (define @t34 () (forall @t6 (or (not @t33) @t32))) % 0.39/0.59 (define @t35 () (@quantifiers_skolemize @t34 0)) % 0.39/0.59 (define @t36 () (tptp.member @t35 @t27)) % 0.39/0.59 (define @t37 () (tptp.member @t35 @t30)) % 0.39/0.59 (define @t38 () (not @t36)) % 0.39/0.59 (define @t39 () (or @t38 @t37)) % 0.39/0.59 (define @t40 () (tptp.member @t35 @t28)) % 0.39/0.59 (define @t41 () (tptp.member @t35 @t29)) % 0.39/0.59 (define @t42 () (or @t41 @t40)) % 0.39/0.59 (define @t43 () (= @t37 @t42)) % 0.39/0.59 (define @t44 () (not @t40)) % 0.39/0.59 (define @t45 () (and @t36 @t44)) % 0.39/0.59 (define @t46 () (= @t41 @t45)) % 0.39/0.59 (define @t47 () (not @t39)) % 0.39/0.59 (define @t48 () (not @t34)) % 0.39/0.59 (define @t49 () (tptp.subset @t27 @t30)) % 0.39/0.59 (define @t50 () (= @t49 @t34)) % 0.39/0.59 (define @t51 () (@list false false)) % 0.39/0.59 (define @t52 () (tptp.equal_set @t30 @t27)) % 0.39/0.59 (define @t53 () (tptp.subset @t28 @t27)) % 0.39/0.59 (define @t54 () (not @t53)) % 0.39/0.59 (define @t55 () (or @t54 @t52)) % 0.39/0.59 (define @t56 () (@list true)) % 0.39/0.59 (define @t57 () (@list @t55)) % 0.39/0.59 (define @t58 () (tptp.subset @t30 @t27)) % 0.39/0.59 (define @t59 () (and @t58 @t49)) % 0.39/0.59 (define @t60 () (= @t52 @t59)) % 0.39/0.59 (define @t61 () (not @t59)) % 0.39/0.59 (define @t62 () (@list true false)) % 0.39/0.59 (define @t63 () (forall @t6 (or (not @t32) @t33))) % 0.39/0.59 (define @t64 () (= @t58 @t63)) % 0.39/0.59 (define @t65 () (not @t63)) % 0.39/0.59 (define @t66 () (@quantifiers_skolemize @t63 0)) % 0.39/0.59 (define @t67 () (tptp.member @t66 @t27)) % 0.39/0.59 (define @t68 () (tptp.member @t66 @t30)) % 0.39/0.59 (define @t69 () (not @t68)) % 0.39/0.59 (define @t70 () (or @t69 @t67)) % 0.39/0.59 (define @t71 () (not @t70)) % 0.39/0.59 (define @t72 () (tptp.member @t66 @t28)) % 0.39/0.59 (define @t73 () (tptp.member @t66 @t29)) % 0.39/0.59 (define @t74 () (or @t73 @t72)) % 0.39/0.59 (define @t75 () (= @t68 @t74)) % 0.39/0.59 (define @t76 () (forall @t6 (or (not (tptp.member @t2 @t28)) @t33))) % 0.39/0.59 (define @t77 () (= @t53 @t76)) % 0.39/0.59 (define @t78 () (not @t72)) % 0.39/0.59 (define @t79 () (or @t78 @t67)) % 0.39/0.59 (define @t80 () (@list @t70)) % 0.39/0.59 (define @t81 () (and @t67 @t78)) % 0.39/0.59 (define @t82 () (not @t81)) % 0.39/0.59 (define @t83 () (= @t73 @t81)) % 0.39/0.59 (assume @p1 @t11) % 0.39/0.59 (assume @p2 (forall @t10 (= (tptp.equal_set @t4 @t1) (and @t8 (tptp.subset @t1 @t4))))) % 0.39/0.59 (assume @p3 (forall @t12 (= (tptp.member @t2 (tptp.power_set @t4)) (tptp.subset @t2 @t4)))) % 0.39/0.59 (assume @p4 (forall @t13 (= (tptp.member @t2 (tptp.intersection @t4 @t1)) (and @t5 @t3)))) % 0.39/0.59 (assume @p5 (forall @t13 (= (tptp.member @t2 (tptp.union @t4 @t1)) (or @t5 @t3)))) % 0.39/0.59 (assume @p6 (forall @t6 (not (tptp.member @t2 tptp.empty_set)))) % 0.39/0.59 (assume @p7 (forall (@list @t1 @t4 @t14) (= (tptp.member @t1 @t15) (and (tptp.member @t1 @t14) (not (tptp.member @t1 @t4)))))) % 0.39/0.59 (assume @p8 (forall @t12 (= (tptp.member @t2 (tptp.singleton @t4)) @t16))) % 0.39/0.59 (assume @p9 (forall @t13 (= (tptp.member @t2 (tptp.unordered_pair @t4 @t1)) (or @t16 (= @t2 @t1))))) % 0.39/0.59 (assume @p10 (forall @t12 (= (tptp.member @t2 (tptp.sum @t4)) (exists @t20 (and @t19 @t18))))) % 0.39/0.59 (assume @p11 (forall @t12 (= (tptp.member @t2 (tptp.product @t4)) (forall @t20 (=> @t19 @t18))))) % 0.39/0.59 (assume @p12 @t25) % 0.39/0.59 (assume @p13 true) % 0.39/0.59 (step @p14 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.59 (step @p15 :rule cong :premises (@p14) :args (@t7)) % 0.39/0.59 (step @p16 :rule refl :args (@t8)) % 0.39/0.59 (step @p17 :rule cong :premises (@p16 @p15) :args (@t9)) % 0.39/0.59 (step @p18 :rule cong :premises (@p17) :args (@t11)) % 0.39/0.59 (step @p19 :rule eq_resolve :premises (@p1 @p18)) % 0.39/0.59 (step @p20 :rule instantiate :premises (@p19) :args (@t31)) % 0.39/0.59 (step @p21 :rule instantiate :premises (@p19) :args ((@list @t27 @t30))) % 0.39/0.59 (step @p22 :rule bool-double-not-elim :args (@t36)) % 0.39/0.59 (step @p23 :rule refl :args (@t39)) % 0.39/0.59 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t39 (not @t38)))) % 0.39/0.59 (step @p25 :rule cnf_or_neg :args (@t39 0)) % 0.39/0.59 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.39/0.59 (step @p27 :rule reordering :premises (@p26) :args ((or @t36 @t39))) % 0.39/0.59 (step @p28 :rule cnf_or_neg :args (@t39 1)) % 0.39/0.59 (step @p29 :rule instantiate :premises (@p5) :args ((@list @t35 @t29 @t28))) % 0.39/0.59 (step @p30 :rule cnf_equiv_pos2 :args (@t43)) % 0.39/0.59 (step @p31 :rule reordering :premises (@p30) :args ((or @t37 (not @t42) (not @t43)))) % 0.39/0.59 (step @p32 :rule cnf_or_neg :args (@t42 0)) % 0.39/0.59 (step @p33 :rule cnf_or_neg :args (@t42 1)) % 0.39/0.59 (step @p34 :rule instantiate :premises (@p7) :args ((@list @t35 @t28 @t27))) % 0.39/0.59 (step @p35 :rule cnf_equiv_pos2 :args (@t46)) % 0.39/0.59 (step @p36 :rule reordering :premises (@p35) :args ((or @t41 (not @t45) (not @t46)))) % 0.39/0.59 (step @p37 :rule bool-double-not-elim :args (@t40)) % 0.39/0.59 (step @p38 :rule refl :args (@t38)) % 0.39/0.59 (step @p39 :rule refl :args (@t45)) % 0.39/0.59 (step @p40 :rule nary_cong :premises (@p39 @p38 @p37) :args ((or @t45 @t38 (not @t44)))) % 0.39/0.59 (step @p41 :rule cnf_and_neg :args (@t45)) % 0.39/0.59 (step @p42 :rule eq_resolve :premises (@p41 @p40)) % 0.39/0.59 (step @p43 :rule reordering :premises (@p42) :args ((or @t38 @t40 @t45))) % 0.39/0.59 (step @p44 :rule chain_m_resolution :premises (@p43 @p36 @p34 @p33 @p32 @p31 @p29 @p28 @p27) :args (@t39 (@list true false true true true false true false) (@list @t45 @t46 @t40 @t41 @t42 @t43 @t37 @t36))) % 0.39/0.59 (step @p45 :rule refl :args (@t47)) % 0.39/0.59 (step @p46 :rule bool-double-not-elim :args (@t34)) % 0.39/0.59 (step @p47 :rule nary_cong :premises (@p46 @p45) :args ((or (not @t48) @t47))) % 0.39/0.59 (assume-push @p120 @t48) % 0.39/0.59 (step @p49 :rule skolemize :premises (@p120)) % 0.39/0.59 (step-pop @p121 :rule scope :premises (@p49)) % 0.39/0.59 (step @p50 :rule process_scope :premises (@p121) :args (@t47)) % 0.39/0.59 (step @p52 :rule implies_elim :premises (@p50)) % 0.39/0.59 (step @p53 :rule eq_resolve :premises (@p52 @p47)) % 0.39/0.59 (step @p54 :rule chain_m_resolution :premises (@p53 @p44) :args (@t34 (@list false) (@list @t39))) % 0.39/0.59 (step @p55 :rule cnf_equiv_pos2 :args (@t50)) % 0.39/0.59 (step @p56 :rule reordering :premises (@p55) :args ((or @t49 @t48 (not @t50)))) % 0.39/0.59 (step @p57 :rule chain_m_resolution :premises (@p56 @p54 @p21) :args (@t49 @t51 (@list @t34 @t50))) % 0.39/0.59 (step @p58 :rule instantiate :premises (@p2) :args (@t31)) % 0.39/0.59 (step @p59 :rule bool-impl-elim :args (@t22 @t21)) % 0.39/0.59 (step @p60 :rule cong :premises (@p59) :args (@t24)) % 0.39/0.59 (step @p61 :rule cong :premises (@p60) :args (@t25)) % 0.39/0.59 (step @p62 :rule eq_resolve :premises (@p12 @p61)) % 0.39/0.59 (step @p63 :rule skolemize :premises (@p62)) % 0.39/0.59 (step @p64 :rule cnf_or_neg :args (@t55 1)) % 0.39/0.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p63) :args ((not @t52) @t56 @t57)) % 0.39/0.59 (step @p66 :rule cnf_equiv_pos2 :args (@t60)) % 0.39/0.59 (step @p67 :rule reordering :premises (@p66) :args ((or @t52 @t61 (not @t60)))) % 0.39/0.59 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p58) :args (@t61 @t62 (@list @t52 @t60))) % 0.39/0.59 (step @p69 :rule cnf_and_neg :args (@t59)) % 0.39/0.59 (step @p70 :rule chain_m_resolution :premises (@p69 @p68 @p57) :args ((not @t58) @t62 (@list @t59 @t49))) % 0.39/0.59 (step @p71 :rule cnf_equiv_pos2 :args (@t64)) % 0.39/0.59 (step @p72 :rule reordering :premises (@p71) :args ((or @t58 @t65 (not @t64)))) % 0.39/0.59 (step @p73 :rule chain_m_resolution :premises (@p72 @p70 @p20) :args (@t65 @t62 (@list @t58 @t64))) % 0.39/0.59 (step @p74 :rule refl :args (@t71)) % 0.39/0.59 (step @p75 :rule bool-double-not-elim :args (@t63)) % 0.39/0.59 (step @p76 :rule nary_cong :premises (@p75 @p74) :args ((or (not @t65) @t71))) % 0.39/0.59 (assume-push @p122 @t65) % 0.39/0.59 (step @p78 :rule skolemize :premises (@p122)) % 0.39/0.59 (step-pop @p123 :rule scope :premises (@p78)) % 0.39/0.59 (step @p79 :rule process_scope :premises (@p123) :args (@t71)) % 0.39/0.59 (step @p81 :rule implies_elim :premises (@p79)) % 0.39/0.59 (step @p82 :rule eq_resolve :premises (@p81 @p76)) % 0.39/0.59 (step @p83 :rule chain_m_resolution :premises (@p82 @p73) :args (@t71 @t56 (@list @t63))) % 0.39/0.59 (step @p84 :rule bool-double-not-elim :args (@t68)) % 0.39/0.59 (step @p85 :rule refl :args (@t70)) % 0.39/0.59 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t70 (not @t69)))) % 0.39/0.59 (step @p87 :rule cnf_or_neg :args (@t70 0)) % 0.39/0.59 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.39/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t68 @t70))) % 0.39/0.59 (step @p90 :rule cnf_or_neg :args (@t70 1)) % 0.39/0.59 (step @p91 :rule instantiate :premises (@p5) :args ((@list @t66 @t29 @t28))) % 0.39/0.59 (step @p92 :rule cnf_equiv_pos1 :args (@t75)) % 0.39/0.59 (step @p93 :rule reordering :premises (@p92) :args ((or @t69 @t74 (not @t75)))) % 0.39/0.59 (step @p94 :rule instantiate :premises (@p19) :args ((@list @t28 @t27))) % 0.39/0.59 (step @p95 :rule bool-double-not-elim :args (@t53)) % 0.39/0.59 (step @p96 :rule refl :args (@t55)) % 0.39/0.59 (step @p97 :rule nary_cong :premises (@p96 @p95) :args ((or @t55 (not @t54)))) % 0.39/0.59 (step @p98 :rule cnf_or_neg :args (@t55 0)) % 0.39/0.59 (step @p99 :rule eq_resolve :premises (@p98 @p97)) % 0.39/0.59 (step @p100 :rule reordering :premises (@p99) :args ((or @t53 @t55))) % 0.39/0.59 (step @p101 :rule chain_m_resolution :premises (@p100 @p63) :args (@t53 @t56 @t57)) % 0.39/0.59 (step @p102 :rule cnf_equiv_pos1 :args (@t77)) % 0.39/0.59 (step @p103 :rule reordering :premises (@p102) :args ((or @t54 @t76 (not @t77)))) % 0.39/0.59 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p94) :args (@t76 @t51 (@list @t53 @t77))) % 0.39/0.59 (step @p105 :rule instantiate :premises (@p104) :args ((@list @t66))) % 0.39/0.59 (step @p106 :rule cnf_or_pos :args (@t79)) % 0.39/0.59 (step @p107 :rule reordering :premises (@p106) :args ((or @t67 @t78 (not @t79)))) % 0.39/0.59 (step @p108 :rule cnf_or_pos :args (@t74)) % 0.39/0.59 (step @p109 :rule reordering :premises (@p108) :args ((or @t73 @t72 (not @t74)))) % 0.39/0.59 (step @p110 :rule chain_m_resolution :premises (@p109 @p107 @p105 @p93 @p91 @p90 @p89) :args ((or @t70 @t73) (@list true false false false true false) (@list @t72 @t79 @t74 @t75 @t67 @t68))) % 0.39/0.59 (step @p111 :rule chain_m_resolution :premises (@p110 @p83) :args (@t73 @t56 @t80)) % 0.39/0.59 (step @p112 :rule chain_m_resolution :premises (@p90 @p83) :args ((not @t67) @t56 @t80)) % 0.39/0.59 (step @p113 :rule cnf_and_pos :args (@t81 0)) % 0.39/0.59 (step @p114 :rule reordering :premises (@p113) :args ((or @t67 @t82))) % 0.39/0.59 (step @p115 :rule chain_m_resolution :premises (@p114 @p112) :args (@t82 @t56 (@list @t67))) % 0.39/0.59 (step @p116 :rule instantiate :premises (@p7) :args ((@list @t66 @t28 @t27))) % 0.39/0.59 (step @p117 :rule cnf_equiv_pos1 :args (@t83)) % 0.39/0.59 (step @p118 :rule reordering :premises (@p117) :args ((or (not @t73) @t81 (not @t83)))) % 0.39/0.59 (step @p119 false :rule chain_m_resolution :premises (@p118 @p116 @p115 @p111) :args (false (@list false true false) (@list @t83 @t81 @t73))) % 0.39/0.59 ) % 0.39/0.59 % SZS output end Proof % 0.39/0.59 % cvc5 exiting %------------------------------------------------------------------------------