%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET594+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 : n026.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 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET594+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 % 0.17/0.35 % Computer : n026.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 16:04:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.38/0.58 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Theorem % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.38/0.58 (define @t1 () (@var "C" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "D" $$unsorted)) % 0.38/0.58 (define @t3 () (tptp.member @t2 @t1)) % 0.38/0.58 (define @t4 () (@var "B" $$unsorted)) % 0.38/0.58 (define @t5 () (tptp.member @t2 @t4)) % 0.38/0.58 (define @t6 () (@list @t2)) % 0.38/0.58 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.38/0.58 (define @t8 () (tptp.subset @t4 @t1)) % 0.38/0.58 (define @t9 () (= @t8 @t7)) % 0.38/0.58 (define @t10 () (@list @t4 @t1)) % 0.38/0.58 (define @t11 () (forall @t10 @t9)) % 0.38/0.58 (define @t12 () (tptp.union @t4 @t1)) % 0.38/0.58 (define @t13 () (@list @t4 @t1 @t2)) % 0.38/0.58 (define @t14 () (tptp.intersection @t4 @t1)) % 0.38/0.58 (define @t15 () (= @t4 @t1)) % 0.38/0.58 (define @t16 () (tptp.subset @t4 (tptp.union @t1 @t2))) % 0.38/0.58 (define @t17 () (tptp.union @t14 (tptp.intersection @t4 @t2))) % 0.38/0.58 (define @t18 () (=> (= @t17 @t4) @t16)) % 0.38/0.58 (define @t19 () (forall @t13 @t18)) % 0.38/0.58 (define @t20 () (not @t19)) % 0.38/0.58 (define @t21 () (= @t4 @t17)) % 0.38/0.58 (define @t22 () (forall @t13 (or (not @t21) @t16))) % 0.38/0.58 (define @t23 () (@quantifiers_skolemize @t22 2)) % 0.38/0.58 (define @t24 () (@quantifiers_skolemize @t22 1)) % 0.38/0.58 (define @t25 () (tptp.union @t24 @t23)) % 0.38/0.58 (define @t26 () (@quantifiers_skolemize @t22 0)) % 0.38/0.58 (define @t27 () (forall @t6 (or (not (tptp.member @t2 @t26)) (tptp.member @t2 @t25)))) % 0.38/0.58 (define @t28 () (@quantifiers_skolemize @t27 0)) % 0.38/0.58 (define @t29 () (tptp.intersection @t26 @t24)) % 0.38/0.58 (define @t30 () (tptp.intersection @t26 @t23)) % 0.38/0.58 (define @t31 () (tptp.subset @t26 @t25)) % 0.38/0.58 (define @t32 () (= @t26 (tptp.union @t29 @t30))) % 0.38/0.58 (define @t33 () (not @t32)) % 0.38/0.58 (define @t34 () (or @t33 @t31)) % 0.38/0.58 (define @t35 () (@list true)) % 0.38/0.58 (define @t36 () (@list @t34)) % 0.38/0.58 (define @t37 () (= @t31 @t27)) % 0.38/0.58 (define @t38 () (not @t27)) % 0.38/0.58 (define @t39 () (@list true false)) % 0.38/0.58 (define @t40 () (tptp.member @t28 @t26)) % 0.38/0.58 (define @t41 () (tptp.member @t28 @t25)) % 0.38/0.58 (define @t42 () (not @t40)) % 0.38/0.58 (define @t43 () (or @t42 @t41)) % 0.38/0.58 (define @t44 () (@list @t43)) % 0.38/0.58 (define @t45 () (tptp.member @t28 (tptp.union @t30 @t29))) % 0.38/0.58 (define @t46 () (tptp.member @t28 @t29)) % 0.38/0.58 (define @t47 () (tptp.member @t28 @t30)) % 0.38/0.58 (define @t48 () (or @t47 @t46)) % 0.38/0.58 (define @t49 () (= @t45 @t48)) % 0.38/0.58 (define @t50 () (tptp.member @t28 @t23)) % 0.38/0.58 (define @t51 () (tptp.member @t28 @t24)) % 0.38/0.58 (define @t52 () (or @t51 @t50)) % 0.38/0.58 (define @t53 () (= @t41 @t52)) % 0.38/0.58 (define @t54 () (not @t52)) % 0.38/0.58 (define @t55 () (@list @t52)) % 0.38/0.58 (define @t56 () (and @t40 @t50)) % 0.38/0.58 (define @t57 () (not @t56)) % 0.38/0.58 (define @t58 () (= @t47 @t56)) % 0.38/0.58 (define @t59 () (not @t47)) % 0.38/0.58 (define @t60 () (and @t40 @t51)) % 0.38/0.58 (define @t61 () (not @t60)) % 0.38/0.58 (define @t62 () (= @t46 @t60)) % 0.38/0.58 (assume @p1 @t11) % 0.38/0.58 (assume @p2 (forall @t13 (= (tptp.member @t2 @t12) (or @t5 @t3)))) % 0.38/0.58 (assume @p3 (forall @t13 (= (tptp.member @t2 @t14) (and @t5 @t3)))) % 0.38/0.58 (assume @p4 (forall @t10 (= @t15 (and @t8 (tptp.subset @t1 @t4))))) % 0.38/0.58 (assume @p5 (forall @t10 (= @t12 (tptp.union @t1 @t4)))) % 0.38/0.58 (assume @p6 (forall @t10 (= @t14 (tptp.intersection @t1 @t4)))) % 0.38/0.58 (assume @p7 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.38/0.58 (assume @p8 (forall @t10 (= @t15 (forall @t6 (= @t5 @t3))))) % 0.38/0.58 (assume @p9 @t20) % 0.38/0.58 (assume @p10 true) % 0.38/0.58 (step @p11 :rule instantiate :premises (@p2) :args ((@list @t30 @t29 @t28))) % 0.38/0.58 (step @p12 :rule bool-impl-elim :args (@t5 @t3)) % 0.38/0.58 (step @p13 :rule cong :premises (@p12) :args (@t7)) % 0.38/0.58 (step @p14 :rule refl :args (@t8)) % 0.38/0.58 (step @p15 :rule cong :premises (@p14 @p13) :args (@t9)) % 0.38/0.58 (step @p16 :rule cong :premises (@p15) :args (@t11)) % 0.38/0.58 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.38/0.58 (step @p18 :rule instantiate :premises (@p17) :args ((@list @t26 @t25))) % 0.38/0.58 (step @p19 :rule bool-impl-elim :args (@t21 @t16)) % 0.38/0.58 (step @p20 :rule cong :premises (@p19) :args ((forall @t13 (=> @t21 @t16)))) % 0.38/0.58 (step @p21 :rule refl :args (@t16)) % 0.38/0.58 (step @p22 :rule eq-symm :args (@t17 @t4)) % 0.38/0.58 (step @p23 :rule cong :premises (@p22 @p21) :args (@t18)) % 0.38/0.58 (step @p24 :rule cong :premises (@p23) :args (@t19)) % 0.38/0.58 (step @p25 :rule trans :premises (@p24 @p20)) % 0.38/0.58 (step @p26 :rule cong :premises (@p25) :args (@t20)) % 0.38/0.58 (step @p27 :rule eq_resolve :premises (@p9 @p26)) % 0.38/0.58 (step @p28 :rule skolemize :premises (@p27)) % 0.38/0.58 (step @p29 :rule cnf_or_neg :args (@t34 1)) % 0.38/0.58 (step @p30 :rule chain_m_resolution :premises (@p29 @p28) :args ((not @t31) @t35 @t36)) % 0.38/0.58 (step @p31 :rule cnf_equiv_pos2 :args (@t37)) % 0.38/0.58 (step @p32 :rule reordering :premises (@p31) :args ((or @t31 @t38 (not @t37)))) % 0.38/0.58 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p18) :args (@t38 @t39 (@list @t31 @t37))) % 0.38/0.58 (step @p34 :rule skolemize :premises (@p33)) % 0.38/0.58 (step @p35 :rule bool-double-not-elim :args (@t40)) % 0.38/0.58 (step @p36 :rule refl :args (@t43)) % 0.38/0.58 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or @t43 (not @t42)))) % 0.38/0.58 (step @p38 :rule cnf_or_neg :args (@t43 0)) % 0.38/0.58 (step @p39 :rule eq_resolve :premises (@p38 @p37)) % 0.38/0.58 (step @p40 :rule reordering :premises (@p39) :args ((or @t40 @t43))) % 0.38/0.58 (step @p41 :rule chain_m_resolution :premises (@p40 @p34) :args (@t40 @t35 @t44)) % 0.38/0.58 (step @p42 :rule true_intro :premises (@p41)) % 0.38/0.58 (step @p43 :rule bool-double-not-elim :args (@t32)) % 0.38/0.58 (step @p44 :rule refl :args (@t34)) % 0.38/0.58 (step @p45 :rule nary_cong :premises (@p44 @p43) :args ((or @t34 (not @t33)))) % 0.38/0.58 (step @p46 :rule cnf_or_neg :args (@t34 0)) % 0.38/0.58 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.38/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t32 @t34))) % 0.38/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p28) :args (@t32 @t35 @t36)) % 0.38/0.58 (step @p50 :rule symm :premises (@p49)) % 0.38/0.58 (step @p51 :rule instantiate :premises (@p5) :args ((@list @t29 @t30))) % 0.38/0.58 (step @p52 :rule symm :premises (@p51)) % 0.38/0.58 (step @p53 :rule trans :premises (@p52 @p50)) % 0.38/0.58 (step @p54 :rule refl :args (@t28)) % 0.38/0.58 (step @p55 :rule cong :premises (@p54 @p53) :args (@t45)) % 0.38/0.58 (step @p56 :rule trans :premises (@p55 @p42)) % 0.38/0.58 (step @p57 :rule true_elim :premises (@p56)) % 0.38/0.58 (step @p58 :rule cnf_equiv_pos1 :args (@t49)) % 0.38/0.58 (step @p59 :rule reordering :premises (@p58) :args ((or @t48 (not @t45) (not @t49)))) % 0.38/0.58 (step @p60 :rule chain_m_resolution :premises (@p59 @p57 @p11) :args (@t48 (@list false false) (@list @t45 @t49))) % 0.38/0.58 (step @p61 :rule instantiate :premises (@p3) :args ((@list @t26 @t23 @t28))) % 0.38/0.58 (step @p62 :rule instantiate :premises (@p2) :args ((@list @t24 @t23 @t28))) % 0.38/0.58 (step @p63 :rule cnf_or_neg :args (@t43 1)) % 0.38/0.58 (step @p64 :rule chain_m_resolution :premises (@p63 @p34) :args ((not @t41) @t35 @t44)) % 0.38/0.58 (step @p65 :rule cnf_equiv_pos2 :args (@t53)) % 0.38/0.58 (step @p66 :rule reordering :premises (@p65) :args ((or @t41 @t54 (not @t53)))) % 0.38/0.58 (step @p67 :rule chain_m_resolution :premises (@p66 @p64 @p62) :args (@t54 @t39 (@list @t41 @t53))) % 0.38/0.58 (step @p68 :rule cnf_or_neg :args (@t52 1)) % 0.38/0.58 (step @p69 :rule chain_m_resolution :premises (@p68 @p67) :args ((not @t50) @t35 @t55)) % 0.38/0.58 (step @p70 :rule cnf_and_pos :args (@t56 1)) % 0.38/0.58 (step @p71 :rule reordering :premises (@p70) :args ((or @t50 @t57))) % 0.38/0.58 (step @p72 :rule chain_m_resolution :premises (@p71 @p69) :args (@t57 @t35 (@list @t50))) % 0.38/0.58 (step @p73 :rule cnf_equiv_pos1 :args (@t58)) % 0.38/0.58 (step @p74 :rule reordering :premises (@p73) :args ((or @t59 @t56 (not @t58)))) % 0.38/0.58 (step @p75 :rule chain_m_resolution :premises (@p74 @p72 @p61) :args (@t59 @t39 (@list @t56 @t58))) % 0.38/0.58 (step @p76 :rule cnf_or_pos :args (@t48)) % 0.38/0.58 (step @p77 :rule reordering :premises (@p76) :args ((or @t47 @t46 (not @t48)))) % 0.38/0.58 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p60) :args (@t46 @t39 (@list @t47 @t48))) % 0.38/0.58 (step @p79 :rule cnf_or_neg :args (@t52 0)) % 0.38/0.58 (step @p80 :rule chain_m_resolution :premises (@p79 @p67) :args ((not @t51) @t35 @t55)) % 0.38/0.58 (step @p81 :rule cnf_and_pos :args (@t60 1)) % 0.38/0.58 (step @p82 :rule reordering :premises (@p81) :args ((or @t51 @t61))) % 0.38/0.58 (step @p83 :rule chain_m_resolution :premises (@p82 @p80) :args (@t61 @t35 (@list @t51))) % 0.38/0.58 (step @p84 :rule instantiate :premises (@p3) :args ((@list @t26 @t24 @t28))) % 0.38/0.58 (step @p85 :rule cnf_equiv_pos1 :args (@t62)) % 0.38/0.58 (step @p86 :rule reordering :premises (@p85) :args ((or (not @t46) @t60 (not @t62)))) % 0.38/0.58 (step @p87 false :rule chain_m_resolution :premises (@p86 @p84 @p83 @p78) :args (false (@list false true false) (@list @t62 @t60 @t46))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------