%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET593+3 : 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 08:48:08 AM UTC 2026 % Result : Theorem 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET593+3 : TPTP v9.2.1. Released v2.2.0. % 0.13/0.13 % 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 16:03:35 EDT 2026 % 0.17/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Theorem % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (define @t1 () (@var "C" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "D" $$unsorted)) % 0.39/0.57 (define @t3 () (tptp.member @t2 @t1)) % 0.39/0.57 (define @t4 () (@var "B" $$unsorted)) % 0.39/0.57 (define @t5 () (tptp.member @t2 @t4)) % 0.39/0.57 (define @t6 () (tptp.union @t4 @t1)) % 0.39/0.57 (define @t7 () (@list @t4 @t1 @t2)) % 0.39/0.57 (define @t8 () (tptp.difference @t4 @t1)) % 0.39/0.57 (define @t9 () (@list @t2)) % 0.39/0.57 (define @t10 () (forall @t9 (=> @t5 @t3))) % 0.39/0.57 (define @t11 () (tptp.subset @t4 @t1)) % 0.39/0.57 (define @t12 () (= @t11 @t10)) % 0.39/0.57 (define @t13 () (@list @t4 @t1)) % 0.39/0.57 (define @t14 () (forall @t13 @t12)) % 0.39/0.57 (define @t15 () (and (tptp.subset @t8 @t2) (tptp.subset (tptp.difference @t4 @t2) @t1))) % 0.39/0.57 (define @t16 () (tptp.subset @t4 (tptp.union @t1 @t2))) % 0.39/0.57 (define @t17 () (forall @t7 (=> @t16 @t15))) % 0.39/0.57 (define @t18 () (not @t17)) % 0.39/0.57 (define @t19 () (forall @t7 (or (not @t16) @t15))) % 0.39/0.57 (define @t20 () (@quantifiers_skolemize @t19 1)) % 0.39/0.57 (define @t21 () (@quantifiers_skolemize @t19 2)) % 0.39/0.57 (define @t22 () (@quantifiers_skolemize @t19 0)) % 0.39/0.57 (define @t23 () (tptp.difference @t22 @t21)) % 0.39/0.57 (define @t24 () (forall @t9 (or (not (tptp.member @t2 @t23)) (tptp.member @t2 @t20)))) % 0.39/0.57 (define @t25 () (@quantifiers_skolemize @t24 0)) % 0.39/0.57 (define @t26 () (tptp.union @t20 @t21)) % 0.39/0.57 (define @t27 () (tptp.subset @t22 @t26)) % 0.39/0.57 (define @t28 () (tptp.subset @t23 @t20)) % 0.39/0.57 (define @t29 () (tptp.difference @t22 @t20)) % 0.39/0.57 (define @t30 () (tptp.subset @t29 @t21)) % 0.39/0.57 (define @t31 () (and @t30 @t28)) % 0.39/0.57 (define @t32 () (not @t27)) % 0.39/0.57 (define @t33 () (or @t32 @t31)) % 0.39/0.57 (define @t34 () (@list true)) % 0.39/0.57 (define @t35 () (@list @t33)) % 0.39/0.57 (define @t36 () (forall @t9 (or (not (tptp.member @t2 @t22)) (tptp.member @t2 @t26)))) % 0.39/0.57 (define @t37 () (= @t27 @t36)) % 0.39/0.57 (define @t38 () (@list false false)) % 0.39/0.57 (define @t39 () (= @t28 @t24)) % 0.39/0.57 (define @t40 () (not @t24)) % 0.39/0.57 (define @t41 () (forall @t9 (or (not (tptp.member @t2 @t29)) (tptp.member @t2 @t21)))) % 0.39/0.57 (define @t42 () (@quantifiers_skolemize @t41 0)) % 0.39/0.57 (define @t43 () (tptp.member @t42 @t20)) % 0.39/0.57 (define @t44 () (tptp.member @t42 @t23)) % 0.39/0.57 (define @t45 () (not @t44)) % 0.39/0.57 (define @t46 () (or @t45 @t43)) % 0.39/0.57 (define @t47 () (= @t30 @t41)) % 0.39/0.57 (define @t48 () (not @t41)) % 0.39/0.57 (define @t49 () (tptp.member @t42 @t21)) % 0.39/0.57 (define @t50 () (tptp.member @t42 @t29)) % 0.39/0.57 (define @t51 () (not @t50)) % 0.39/0.57 (define @t52 () (or @t51 @t49)) % 0.39/0.57 (define @t53 () (not @t52)) % 0.39/0.57 (define @t54 () (not @t43)) % 0.39/0.57 (define @t55 () (tptp.member @t42 @t22)) % 0.39/0.57 (define @t56 () (and @t55 @t54)) % 0.39/0.57 (define @t57 () (= @t50 @t56)) % 0.39/0.57 (define @t58 () (not @t56)) % 0.39/0.57 (define @t59 () (not @t55)) % 0.39/0.57 (define @t60 () (not @t49)) % 0.39/0.57 (define @t61 () (and @t55 @t60)) % 0.39/0.57 (define @t62 () (= @t44 @t61)) % 0.39/0.57 (define @t63 () (tptp.member @t25 @t20)) % 0.39/0.57 (define @t64 () (tptp.member @t25 @t23)) % 0.39/0.57 (define @t65 () (not @t64)) % 0.39/0.57 (define @t66 () (or @t65 @t63)) % 0.39/0.57 (define @t67 () (not @t66)) % 0.39/0.57 (define @t68 () (@list @t66)) % 0.39/0.57 (define @t69 () (tptp.member @t25 @t21)) % 0.39/0.57 (define @t70 () (not @t69)) % 0.39/0.57 (define @t71 () (tptp.member @t25 @t22)) % 0.39/0.57 (define @t72 () (and @t71 @t70)) % 0.39/0.57 (define @t73 () (= @t64 @t72)) % 0.39/0.57 (define @t74 () (not @t72)) % 0.39/0.57 (define @t75 () (@list false)) % 0.39/0.57 (define @t76 () (@list @t72)) % 0.39/0.57 (define @t77 () (tptp.member @t25 @t26)) % 0.39/0.57 (define @t78 () (not @t71)) % 0.39/0.57 (define @t79 () (or @t78 @t77)) % 0.39/0.57 (define @t80 () (or @t63 @t69)) % 0.39/0.57 (define @t81 () (not @t80)) % 0.39/0.57 (define @t82 () (= @t77 @t80)) % 0.39/0.57 (assume @p1 (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.39/0.57 (assume @p2 (forall @t7 (= (tptp.member @t2 @t8) (and @t5 (not @t3))))) % 0.39/0.57 (assume @p3 @t14) % 0.39/0.57 (assume @p4 (forall @t13 (= @t6 (tptp.union @t1 @t4)))) % 0.39/0.57 (assume @p5 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.39/0.57 (assume @p6 (forall @t13 (= (= @t4 @t1) (forall @t9 (= @t5 @t3))))) % 0.39/0.57 (assume @p7 @t18) % 0.39/0.57 (assume @p8 true) % 0.39/0.57 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t20 @t21 @t25))) % 0.39/0.57 (step @p10 :rule bool-impl-elim :args (@t5 @t3)) % 0.39/0.57 (step @p11 :rule cong :premises (@p10) :args (@t10)) % 0.39/0.57 (step @p12 :rule refl :args (@t11)) % 0.39/0.57 (step @p13 :rule cong :premises (@p12 @p11) :args (@t12)) % 0.39/0.57 (step @p14 :rule cong :premises (@p13) :args (@t14)) % 0.39/0.57 (step @p15 :rule eq_resolve :premises (@p3 @p14)) % 0.39/0.57 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t22 @t26))) % 0.39/0.57 (step @p17 :rule bool-impl-elim :args (@t16 @t15)) % 0.39/0.57 (step @p18 :rule cong :premises (@p17) :args (@t17)) % 0.39/0.57 (step @p19 :rule cong :premises (@p18) :args (@t18)) % 0.39/0.57 (step @p20 :rule eq_resolve :premises (@p7 @p19)) % 0.39/0.57 (step @p21 :rule skolemize :premises (@p20)) % 0.39/0.57 (step @p22 :rule bool-double-not-elim :args (@t27)) % 0.39/0.57 (step @p23 :rule refl :args (@t33)) % 0.39/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t33 (not @t32)))) % 0.39/0.57 (step @p25 :rule cnf_or_neg :args (@t33 0)) % 0.39/0.57 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.39/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t27 @t33))) % 0.39/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p21) :args (@t27 @t34 @t35)) % 0.39/0.57 (step @p29 :rule cnf_equiv_pos1 :args (@t37)) % 0.39/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t32 @t36 (not @t37)))) % 0.39/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p16) :args (@t36 @t38 (@list @t27 @t37))) % 0.39/0.57 (step @p32 :rule instantiate :premises (@p31) :args ((@list @t25))) % 0.39/0.57 (step @p33 :rule instantiate :premises (@p2) :args ((@list @t22 @t21 @t25))) % 0.39/0.57 (step @p34 :rule instantiate :premises (@p15) :args ((@list @t23 @t20))) % 0.39/0.57 (step @p35 :rule cnf_equiv_pos2 :args (@t39)) % 0.39/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t28 @t40 (not @t39)))) % 0.39/0.57 (assume-push @p121 @t24) % 0.39/0.57 (step @p38 :rule instantiate :premises (@p121) :args ((@list @t42))) % 0.39/0.57 (step-pop @p122 :rule scope :premises (@p38)) % 0.39/0.57 (step @p39 :rule process_scope :premises (@p122) :args (@t46)) % 0.39/0.57 (step @p41 :rule implies_elim :premises (@p39)) % 0.39/0.57 (step @p42 :rule cnf_or_neg :args (@t33 1)) % 0.39/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p21) :args ((not @t31) @t34 @t35)) % 0.39/0.57 (step @p44 :rule cnf_and_neg :args (@t31)) % 0.39/0.57 (step @p45 :rule instantiate :premises (@p15) :args ((@list @t29 @t21))) % 0.39/0.57 (step @p46 :rule cnf_equiv_pos2 :args (@t47)) % 0.39/0.57 (step @p47 :rule reordering :premises (@p46) :args ((or @t30 @t48 (not @t47)))) % 0.39/0.57 (step @p48 :rule refl :args (@t53)) % 0.39/0.57 (step @p49 :rule bool-double-not-elim :args (@t41)) % 0.39/0.57 (step @p50 :rule nary_cong :premises (@p49 @p48) :args ((or (not @t48) @t53))) % 0.39/0.57 (assume-push @p123 @t48) % 0.39/0.57 (step @p52 :rule skolemize :premises (@p123)) % 0.39/0.57 (step-pop @p124 :rule scope :premises (@p52)) % 0.39/0.57 (step @p53 :rule process_scope :premises (@p124) :args (@t53)) % 0.39/0.57 (step @p55 :rule implies_elim :premises (@p53)) % 0.39/0.57 (step @p56 :rule eq_resolve :premises (@p55 @p50)) % 0.39/0.57 (step @p57 :rule bool-double-not-elim :args (@t50)) % 0.39/0.57 (step @p58 :rule refl :args (@t52)) % 0.39/0.57 (step @p59 :rule nary_cong :premises (@p58 @p57) :args ((or @t52 (not @t51)))) % 0.39/0.57 (step @p60 :rule cnf_or_neg :args (@t52 0)) % 0.39/0.57 (step @p61 :rule eq_resolve :premises (@p60 @p59)) % 0.39/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t50 @t52))) % 0.39/0.57 (step @p63 :rule cnf_or_neg :args (@t52 1)) % 0.39/0.57 (step @p64 :rule instantiate :premises (@p2) :args ((@list @t22 @t20 @t42))) % 0.39/0.57 (step @p65 :rule cnf_equiv_pos1 :args (@t57)) % 0.39/0.57 (step @p66 :rule reordering :premises (@p65) :args ((or @t51 @t56 (not @t57)))) % 0.39/0.57 (step @p67 :rule cnf_and_pos :args (@t56 0)) % 0.39/0.57 (step @p68 :rule reordering :premises (@p67) :args ((or @t55 @t58))) % 0.39/0.57 (step @p69 :rule cnf_and_pos :args (@t56 1)) % 0.39/0.57 (step @p70 :rule reordering :premises (@p69) :args ((or @t54 @t58))) % 0.39/0.57 (step @p71 :rule bool-double-not-elim :args (@t49)) % 0.39/0.57 (step @p72 :rule refl :args (@t59)) % 0.39/0.57 (step @p73 :rule refl :args (@t61)) % 0.39/0.57 (step @p74 :rule nary_cong :premises (@p73 @p72 @p71) :args ((or @t61 @t59 (not @t60)))) % 0.39/0.57 (step @p75 :rule cnf_and_neg :args (@t61)) % 0.39/0.57 (step @p76 :rule eq_resolve :premises (@p75 @p74)) % 0.39/0.57 (step @p77 :rule reordering :premises (@p76) :args ((or @t49 @t59 @t61))) % 0.39/0.57 (step @p78 :rule cnf_or_pos :args (@t46)) % 0.39/0.57 (step @p79 :rule reordering :premises (@p78) :args ((or @t43 @t45 (not @t46)))) % 0.39/0.57 (step @p80 :rule instantiate :premises (@p2) :args ((@list @t22 @t21 @t42))) % 0.39/0.57 (step @p81 :rule cnf_equiv_pos2 :args (@t62)) % 0.39/0.57 (step @p82 :rule reordering :premises (@p81) :args ((or @t44 (not @t61) (not @t62)))) % 0.39/0.58 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p79 @p77 @p70 @p68 @p66 @p64 @p63 @p62 @p56 @p47 @p45 @p44 @p43 @p41 @p36 @p34) :args (@t40 (@list false true false true false false false true false true true false true true false false false) (@list @t62 @t44 @t61 @t43 @t55 @t56 @t57 @t49 @t50 @t52 @t41 @t47 @t30 @t31 @t46 @t28 @t39))) % 0.39/0.58 (step @p84 :rule refl :args (@t67)) % 0.39/0.58 (step @p85 :rule bool-double-not-elim :args (@t24)) % 0.39/0.58 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or (not @t40) @t67))) % 0.39/0.58 (assume-push @p125 @t40) % 0.39/0.58 (step @p88 :rule skolemize :premises (@p125)) % 0.39/0.58 (step-pop @p126 :rule scope :premises (@p88)) % 0.39/0.58 (step @p89 :rule process_scope :premises (@p126) :args (@t67)) % 0.39/0.58 (step @p91 :rule implies_elim :premises (@p89)) % 0.39/0.58 (step @p92 :rule eq_resolve :premises (@p91 @p86)) % 0.39/0.58 (step @p93 :rule chain_m_resolution :premises (@p92 @p83) :args (@t67 @t34 (@list @t24))) % 0.39/0.58 (step @p94 :rule bool-double-not-elim :args (@t64)) % 0.39/0.58 (step @p95 :rule refl :args (@t66)) % 0.39/0.58 (step @p96 :rule nary_cong :premises (@p95 @p94) :args ((or @t66 (not @t65)))) % 0.39/0.58 (step @p97 :rule cnf_or_neg :args (@t66 0)) % 0.39/0.58 (step @p98 :rule eq_resolve :premises (@p97 @p96)) % 0.39/0.58 (step @p99 :rule reordering :premises (@p98) :args ((or @t64 @t66))) % 0.39/0.58 (step @p100 :rule chain_m_resolution :premises (@p99 @p93) :args (@t64 @t34 @t68)) % 0.39/0.58 (step @p101 :rule cnf_equiv_pos1 :args (@t73)) % 0.39/0.58 (step @p102 :rule reordering :premises (@p101) :args ((or @t65 @t72 (not @t73)))) % 0.39/0.58 (step @p103 :rule chain_m_resolution :premises (@p102 @p100 @p33) :args (@t72 @t38 (@list @t64 @t73))) % 0.39/0.58 (step @p104 :rule cnf_and_pos :args (@t72 0)) % 0.39/0.58 (step @p105 :rule reordering :premises (@p104) :args ((or @t71 @t74))) % 0.39/0.58 (step @p106 :rule chain_m_resolution :premises (@p105 @p103) :args (@t71 @t75 @t76)) % 0.39/0.58 (step @p107 :rule cnf_or_pos :args (@t79)) % 0.39/0.58 (step @p108 :rule reordering :premises (@p107) :args ((or @t78 @t77 (not @t79)))) % 0.39/0.58 (step @p109 :rule chain_m_resolution :premises (@p108 @p106 @p32) :args (@t77 @t38 (@list @t71 @t79))) % 0.39/0.58 (step @p110 :rule cnf_and_pos :args (@t72 1)) % 0.39/0.58 (step @p111 :rule reordering :premises (@p110) :args ((or @t70 @t74))) % 0.39/0.58 (step @p112 :rule chain_m_resolution :premises (@p111 @p103) :args (@t70 @t75 @t76)) % 0.39/0.58 (step @p113 :rule cnf_or_neg :args (@t66 1)) % 0.39/0.58 (step @p114 :rule chain_m_resolution :premises (@p113 @p93) :args ((not @t63) @t34 @t68)) % 0.39/0.58 (step @p115 :rule cnf_or_pos :args (@t80)) % 0.39/0.58 (step @p116 :rule reordering :premises (@p115) :args ((or @t63 @t69 @t81))) % 0.39/0.58 (step @p117 :rule chain_m_resolution :premises (@p116 @p114 @p112) :args (@t81 (@list true true) (@list @t63 @t69))) % 0.39/0.58 (step @p118 :rule cnf_equiv_pos1 :args (@t82)) % 0.39/0.58 (step @p119 :rule reordering :premises (@p118) :args ((or (not @t77) @t80 (not @t82)))) % 0.39/0.58 (step @p120 false :rule chain_m_resolution :premises (@p119 @p117 @p109 @p9) :args (false (@list true false false) (@list @t80 @t77 @t82))) % 0.39/0.58 ) % 0.39/0.58 % SZS output end Proof % 0.39/0.58 % cvc5 exiting %------------------------------------------------------------------------------