%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET625+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 : n029.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 08:48:17 AM UTC 2026 % Result : Theorem 0.37s 0.58s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET625+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n029.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:05:17 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.58 % SZS status Theorem % 0.37/0.58 % SZS output start Proof % 0.37/0.58 ( % 0.37/0.58 (declare-sort $$unsorted 0) % 0.37/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.58 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.58 (define @t2 () (@var "D" $$unsorted)) % 0.37/0.58 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.58 (define @t4 () (@var "B" $$unsorted)) % 0.37/0.58 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.58 (define @t6 () (and @t5 @t3)) % 0.37/0.58 (define @t7 () (@list @t2)) % 0.37/0.58 (define @t8 () (exists @t7 @t6)) % 0.37/0.58 (define @t9 () (tptp.intersect @t4 @t1)) % 0.37/0.58 (define @t10 () (= @t9 @t8)) % 0.37/0.58 (define @t11 () (@list @t4 @t1)) % 0.37/0.58 (define @t12 () (forall @t11 @t10)) % 0.37/0.58 (define @t13 () (forall @t7 (=> @t5 @t3))) % 0.37/0.58 (define @t14 () (tptp.subset @t4 @t1)) % 0.37/0.58 (define @t15 () (= @t14 @t13)) % 0.37/0.58 (define @t16 () (forall @t11 @t15)) % 0.37/0.58 (define @t17 () (tptp.intersect @t4 @t2)) % 0.37/0.58 (define @t18 () (tptp.subset @t1 @t2)) % 0.37/0.58 (define @t19 () (and @t9 @t18)) % 0.37/0.58 (define @t20 () (@list @t4 @t1 @t2)) % 0.37/0.58 (define @t21 () (forall @t20 (=> @t19 @t17))) % 0.37/0.58 (define @t22 () (not @t21)) % 0.37/0.58 (define @t23 () (forall @t7 (not @t6))) % 0.37/0.58 (define @t24 () (not @t23)) % 0.37/0.58 (define @t25 () (not @t18)) % 0.37/0.58 (define @t26 () (not @t9)) % 0.37/0.58 (define @t27 () (or @t26 @t25 @t17)) % 0.37/0.58 (define @t28 () (forall @t20 @t27)) % 0.37/0.58 (define @t29 () (@quantifiers_skolemize @t28 1)) % 0.37/0.58 (define @t30 () (@quantifiers_skolemize @t28 0)) % 0.37/0.58 (define @t31 () (tptp.intersect @t30 @t29)) % 0.37/0.58 (define @t32 () (@quantifiers_skolemize @t28 2)) % 0.37/0.58 (define @t33 () (tptp.intersect @t30 @t32)) % 0.37/0.58 (define @t34 () (tptp.subset @t29 @t32)) % 0.37/0.58 (define @t35 () (not @t34)) % 0.37/0.58 (define @t36 () (not @t31)) % 0.37/0.58 (define @t37 () (or @t36 @t35 @t33)) % 0.37/0.58 (define @t38 () (@list true)) % 0.37/0.58 (define @t39 () (@list @t37)) % 0.37/0.58 (define @t40 () (not (tptp.member @t2 @t29))) % 0.37/0.58 (define @t41 () (not (tptp.member @t2 @t30))) % 0.37/0.58 (define @t42 () (forall @t7 (or @t41 @t40))) % 0.37/0.58 (define @t43 () (not @t42)) % 0.37/0.58 (define @t44 () (= @t31 @t43)) % 0.37/0.58 (define @t45 () (@list false false)) % 0.37/0.58 (define @t46 () (@quantifiers_skolemize @t42 0)) % 0.37/0.58 (define @t47 () (tptp.member @t46 @t29)) % 0.37/0.58 (define @t48 () (not @t47)) % 0.37/0.58 (define @t49 () (tptp.member @t46 @t30)) % 0.37/0.58 (define @t50 () (not @t49)) % 0.37/0.58 (define @t51 () (or @t50 @t48)) % 0.37/0.58 (define @t52 () (@list @t51)) % 0.37/0.58 (define @t53 () (tptp.member @t2 @t32)) % 0.37/0.58 (define @t54 () (forall @t7 (or @t40 @t53))) % 0.37/0.58 (define @t55 () (= @t34 @t54)) % 0.37/0.58 (define @t56 () (@list @t46)) % 0.37/0.58 (define @t57 () (forall @t7 (or @t41 (not @t53)))) % 0.37/0.58 (define @t58 () (not @t57)) % 0.37/0.58 (define @t59 () (= @t33 @t58)) % 0.37/0.58 (define @t60 () (not @t59)) % 0.37/0.58 (define @t61 () (tptp.member @t46 @t32)) % 0.37/0.58 (define @t62 () (not @t61)) % 0.37/0.58 (define @t63 () (or @t50 @t62)) % 0.37/0.58 (define @t64 () (or @t48 @t61)) % 0.37/0.58 (assume @p1 @t12) % 0.37/0.58 (assume @p2 @t16) % 0.37/0.58 (assume @p3 (forall @t11 (=> @t9 (tptp.intersect @t1 @t4)))) % 0.37/0.58 (assume @p4 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.37/0.58 (assume @p5 @t22) % 0.37/0.58 (assume @p6 true) % 0.37/0.58 (step @p7 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.37/0.58 (step @p8 :rule cong :premises (@p7) :args (@t23)) % 0.37/0.58 (step @p9 :rule cong :premises (@p8) :args (@t24)) % 0.37/0.58 (step @p10 :rule exists-elim :args ((= @t8 @t24))) % 0.37/0.58 (step @p11 :rule trans :premises (@p10 @p9)) % 0.37/0.58 (step @p12 :rule refl :args (@t9)) % 0.37/0.58 (step @p13 :rule cong :premises (@p12 @p11) :args (@t10)) % 0.37/0.58 (step @p14 :rule cong :premises (@p13) :args (@t12)) % 0.37/0.58 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.37/0.58 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t30 @t29))) % 0.37/0.58 (step @p17 :rule aci_norm :args ((= (or (or @t26 @t25) @t17) @t27))) % 0.37/0.58 (step @p18 :rule refl :args (@t17)) % 0.37/0.58 (step @p19 :rule bool-and-de-morgan :args (@t9 @t18 true)) % 0.37/0.58 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or (not @t19) @t17))) % 0.37/0.58 (step @p21 :rule trans :premises (@p20 @p17)) % 0.37/0.58 (step @p22 :rule bool-impl-elim :args (@t19 @t17)) % 0.37/0.58 (step @p23 :rule trans :premises (@p22 @p21)) % 0.37/0.58 (step @p24 :rule cong :premises (@p23) :args (@t21)) % 0.37/0.58 (step @p25 :rule cong :premises (@p24) :args (@t22)) % 0.37/0.58 (step @p26 :rule eq_resolve :premises (@p5 @p25)) % 0.37/0.58 (step @p27 :rule skolemize :premises (@p26)) % 0.37/0.58 (step @p28 :rule bool-double-not-elim :args (@t31)) % 0.37/0.58 (step @p29 :rule refl :args (@t37)) % 0.37/0.58 (step @p30 :rule nary_cong :premises (@p29 @p28) :args ((or @t37 (not @t36)))) % 0.37/0.59 (step @p31 :rule cnf_or_neg :args (@t37 0)) % 0.37/0.59 (step @p32 :rule eq_resolve :premises (@p31 @p30)) % 0.37/0.59 (step @p33 :rule reordering :premises (@p32) :args ((or @t31 @t37))) % 0.37/0.59 (step @p34 :rule chain_m_resolution :premises (@p33 @p27) :args (@t31 @t38 @t39)) % 0.37/0.59 (step @p35 :rule cnf_equiv_pos1 :args (@t44)) % 0.37/0.59 (step @p36 :rule reordering :premises (@p35) :args ((or @t36 @t43 (not @t44)))) % 0.37/0.59 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p16) :args (@t43 @t45 (@list @t31 @t44))) % 0.37/0.59 (step @p38 :rule skolemize :premises (@p37)) % 0.37/0.59 (step @p39 :rule bool-double-not-elim :args (@t47)) % 0.37/0.59 (step @p40 :rule refl :args (@t51)) % 0.37/0.59 (step @p41 :rule nary_cong :premises (@p40 @p39) :args ((or @t51 (not @t48)))) % 0.37/0.59 (step @p42 :rule cnf_or_neg :args (@t51 1)) % 0.37/0.59 (step @p43 :rule eq_resolve :premises (@p42 @p41)) % 0.37/0.59 (step @p44 :rule reordering :premises (@p43) :args ((or @t47 @t51))) % 0.37/0.59 (step @p45 :rule chain_m_resolution :premises (@p44 @p38) :args (@t47 @t38 @t52)) % 0.37/0.59 (step @p46 :rule bool-impl-elim :args (@t5 @t3)) % 0.37/0.59 (step @p47 :rule cong :premises (@p46) :args (@t13)) % 0.37/0.59 (step @p48 :rule refl :args (@t14)) % 0.37/0.59 (step @p49 :rule cong :premises (@p48 @p47) :args (@t15)) % 0.37/0.59 (step @p50 :rule cong :premises (@p49) :args (@t16)) % 0.37/0.59 (step @p51 :rule eq_resolve :premises (@p2 @p50)) % 0.37/0.59 (step @p52 :rule instantiate :premises (@p51) :args ((@list @t29 @t32))) % 0.37/0.59 (step @p53 :rule bool-double-not-elim :args (@t34)) % 0.37/0.59 (step @p54 :rule nary_cong :premises (@p29 @p53) :args ((or @t37 (not @t35)))) % 0.37/0.59 (step @p55 :rule cnf_or_neg :args (@t37 1)) % 0.37/0.59 (step @p56 :rule eq_resolve :premises (@p55 @p54)) % 0.37/0.59 (step @p57 :rule reordering :premises (@p56) :args ((or @t34 @t37))) % 0.37/0.59 (step @p58 :rule chain_m_resolution :premises (@p57 @p27) :args (@t34 @t38 @t39)) % 0.37/0.59 (step @p59 :rule cnf_equiv_pos1 :args (@t55)) % 0.37/0.59 (step @p60 :rule reordering :premises (@p59) :args ((or @t35 @t54 (not @t55)))) % 0.37/0.59 (step @p61 :rule chain_m_resolution :premises (@p60 @p58 @p52) :args (@t54 @t45 (@list @t34 @t55))) % 0.37/0.59 (step @p62 :rule instantiate :premises (@p61) :args (@t56)) % 0.37/0.59 (step @p63 :rule instantiate :premises (@p15) :args ((@list @t30 @t32))) % 0.37/0.59 (step @p64 :rule cnf_or_neg :args (@t37 2)) % 0.37/0.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p27) :args ((not @t33) @t38 @t39)) % 0.37/0.59 (step @p66 :rule bool-double-not-elim :args (@t57)) % 0.37/0.59 (step @p67 :rule refl :args (@t33)) % 0.37/0.59 (step @p68 :rule refl :args (@t60)) % 0.37/0.59 (step @p69 :rule nary_cong :premises (@p68 @p67 @p66) :args ((or @t60 @t33 (not @t58)))) % 0.37/0.59 (step @p70 :rule cnf_equiv_pos2 :args (@t59)) % 0.37/0.59 (step @p71 :rule eq_resolve :premises (@p70 @p69)) % 0.37/0.59 (step @p72 :rule reordering :premises (@p71) :args ((or @t33 @t57 @t60))) % 0.37/0.59 (step @p73 :rule chain_m_resolution :premises (@p72 @p65 @p63) :args (@t57 (@list true false) (@list @t33 @t59))) % 0.37/0.59 (step @p74 :rule instantiate :premises (@p73) :args (@t56)) % 0.37/0.59 (step @p75 :rule bool-double-not-elim :args (@t49)) % 0.37/0.59 (step @p76 :rule nary_cong :premises (@p40 @p75) :args ((or @t51 (not @t50)))) % 0.37/0.59 (step @p77 :rule cnf_or_neg :args (@t51 0)) % 0.37/0.59 (step @p78 :rule eq_resolve :premises (@p77 @p76)) % 0.37/0.59 (step @p79 :rule reordering :premises (@p78) :args ((or @t49 @t51))) % 0.37/0.59 (step @p80 :rule chain_m_resolution :premises (@p79 @p38) :args (@t49 @t38 @t52)) % 0.37/0.59 (step @p81 :rule cnf_or_pos :args (@t63)) % 0.37/0.59 (step @p82 :rule reordering :premises (@p81) :args ((or @t50 @t62 (not @t63)))) % 0.37/0.59 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p74) :args (@t62 @t45 (@list @t49 @t63))) % 0.37/0.59 (step @p84 :rule cnf_or_pos :args (@t64)) % 0.37/0.59 (step @p85 :rule reordering :premises (@p84) :args ((or @t48 @t61 (not @t64)))) % 0.37/0.59 (step @p86 false :rule chain_m_resolution :premises (@p85 @p83 @p62 @p45) :args (false (@list true false false) (@list @t61 @t64 @t47))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.59 % cvc5 exiting %------------------------------------------------------------------------------