%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET631+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 : n017.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 08:48:18 AM UTC 2026 % Result : Theorem 0.37s 0.55s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET631+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n017.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 16:04:01 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.55 % SZS status Theorem % 0.37/0.55 % SZS output start Proof % 0.37/0.55 ( % 0.37/0.55 (declare-sort $$unsorted 0) % 0.37/0.55 (declare-const tptp.intersect (-> $$unsorted $$unsorted Bool)) % 0.37/0.55 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.37/0.55 (define @t1 () (@var "C" $$unsorted)) % 0.37/0.55 (define @t2 () (@var "D" $$unsorted)) % 0.37/0.55 (define @t3 () (tptp.member @t2 @t1)) % 0.37/0.55 (define @t4 () (@var "B" $$unsorted)) % 0.37/0.55 (define @t5 () (tptp.member @t2 @t4)) % 0.37/0.55 (define @t6 () (@list @t4 @t1 @t2)) % 0.37/0.55 (define @t7 () (and @t5 @t3)) % 0.37/0.55 (define @t8 () (@list @t2)) % 0.37/0.55 (define @t9 () (exists @t8 @t7)) % 0.37/0.55 (define @t10 () (tptp.intersect @t4 @t1)) % 0.37/0.55 (define @t11 () (= @t10 @t9)) % 0.37/0.55 (define @t12 () (@list @t4 @t1)) % 0.37/0.55 (define @t13 () (forall @t12 @t11)) % 0.37/0.55 (define @t14 () (tptp.intersect @t4 (tptp.difference @t1 @t2))) % 0.37/0.55 (define @t15 () (forall @t6 (=> @t14 @t10))) % 0.37/0.55 (define @t16 () (not @t15)) % 0.37/0.55 (define @t17 () (forall @t6 (or (not @t14) @t10))) % 0.37/0.55 (define @t18 () (@quantifiers_skolemize @t17 2)) % 0.37/0.55 (define @t19 () (@quantifiers_skolemize @t17 1)) % 0.37/0.55 (define @t20 () (tptp.difference @t19 @t18)) % 0.37/0.55 (define @t21 () (@quantifiers_skolemize @t17 0)) % 0.37/0.55 (define @t22 () (not (tptp.member @t2 @t21))) % 0.37/0.55 (define @t23 () (forall @t8 (or @t22 (not (tptp.member @t2 @t20))))) % 0.37/0.55 (define @t24 () (@quantifiers_skolemize @t23 0)) % 0.37/0.55 (define @t25 () (forall @t8 (not @t7))) % 0.37/0.55 (define @t26 () (not @t25)) % 0.37/0.55 (define @t27 () (tptp.intersect @t21 @t20)) % 0.37/0.55 (define @t28 () (tptp.intersect @t21 @t19)) % 0.37/0.55 (define @t29 () (not @t27)) % 0.37/0.55 (define @t30 () (or @t29 @t28)) % 0.37/0.55 (define @t31 () (@list true)) % 0.37/0.55 (define @t32 () (@list @t30)) % 0.37/0.55 (define @t33 () (not @t23)) % 0.37/0.55 (define @t34 () (= @t27 @t33)) % 0.37/0.55 (define @t35 () (@list false false)) % 0.37/0.55 (define @t36 () (tptp.member @t24 @t20)) % 0.37/0.55 (define @t37 () (not @t36)) % 0.37/0.55 (define @t38 () (tptp.member @t24 @t21)) % 0.37/0.55 (define @t39 () (not @t38)) % 0.37/0.55 (define @t40 () (or @t39 @t37)) % 0.37/0.55 (define @t41 () (@list @t40)) % 0.37/0.55 (define @t42 () (tptp.member @t24 @t19)) % 0.37/0.55 (define @t43 () (and @t42 (not (tptp.member @t24 @t18)))) % 0.37/0.55 (define @t44 () (= @t36 @t43)) % 0.37/0.55 (define @t45 () (forall @t8 (or @t22 (not (tptp.member @t2 @t19))))) % 0.37/0.55 (define @t46 () (not @t45)) % 0.37/0.55 (define @t47 () (= @t28 @t46)) % 0.37/0.55 (define @t48 () (not @t47)) % 0.37/0.55 (define @t49 () (@list true false)) % 0.37/0.55 (define @t50 () (not @t42)) % 0.37/0.55 (define @t51 () (or @t39 @t50)) % 0.37/0.55 (assume @p1 (forall @t6 (= (tptp.member @t2 (tptp.difference @t4 @t1)) (and @t5 (not @t3))))) % 0.37/0.55 (assume @p2 @t13) % 0.37/0.55 (assume @p3 (forall @t12 (=> @t10 (tptp.intersect @t1 @t4)))) % 0.37/0.55 (assume @p4 @t16) % 0.37/0.55 (assume @p5 true) % 0.37/0.55 (step @p6 :rule instantiate :premises (@p1) :args ((@list @t19 @t18 @t24))) % 0.37/0.55 (step @p7 :rule bool-and-de-morgan :args (@t5 @t3 true)) % 0.37/0.55 (step @p8 :rule cong :premises (@p7) :args (@t25)) % 0.37/0.55 (step @p9 :rule cong :premises (@p8) :args (@t26)) % 0.37/0.55 (step @p10 :rule exists-elim :args ((= @t9 @t26))) % 0.37/0.55 (step @p11 :rule trans :premises (@p10 @p9)) % 0.37/0.55 (step @p12 :rule refl :args (@t10)) % 0.37/0.55 (step @p13 :rule cong :premises (@p12 @p11) :args (@t11)) % 0.37/0.55 (step @p14 :rule cong :premises (@p13) :args (@t13)) % 0.37/0.55 (step @p15 :rule eq_resolve :premises (@p2 @p14)) % 0.37/0.55 (step @p16 :rule instantiate :premises (@p15) :args ((@list @t21 @t20))) % 0.37/0.55 (step @p17 :rule bool-impl-elim :args (@t14 @t10)) % 0.37/0.55 (step @p18 :rule cong :premises (@p17) :args (@t15)) % 0.37/0.55 (step @p19 :rule cong :premises (@p18) :args (@t16)) % 0.37/0.55 (step @p20 :rule eq_resolve :premises (@p4 @p19)) % 0.37/0.55 (step @p21 :rule skolemize :premises (@p20)) % 0.37/0.55 (step @p22 :rule bool-double-not-elim :args (@t27)) % 0.37/0.55 (step @p23 :rule refl :args (@t30)) % 0.37/0.55 (step @p24 :rule nary_cong :premises (@p23 @p22) :args ((or @t30 (not @t29)))) % 0.37/0.55 (step @p25 :rule cnf_or_neg :args (@t30 0)) % 0.37/0.55 (step @p26 :rule eq_resolve :premises (@p25 @p24)) % 0.37/0.55 (step @p27 :rule reordering :premises (@p26) :args ((or @t27 @t30))) % 0.37/0.55 (step @p28 :rule chain_m_resolution :premises (@p27 @p21) :args (@t27 @t31 @t32)) % 0.37/0.55 (step @p29 :rule cnf_equiv_pos1 :args (@t34)) % 0.37/0.55 (step @p30 :rule reordering :premises (@p29) :args ((or @t29 @t33 (not @t34)))) % 0.37/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p16) :args (@t33 @t35 (@list @t27 @t34))) % 0.37/0.55 (step @p32 :rule skolemize :premises (@p31)) % 0.37/0.55 (step @p33 :rule bool-double-not-elim :args (@t36)) % 0.37/0.55 (step @p34 :rule refl :args (@t40)) % 0.37/0.55 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t40 (not @t37)))) % 0.37/0.55 (step @p36 :rule cnf_or_neg :args (@t40 1)) % 0.37/0.55 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.37/0.55 (step @p38 :rule reordering :premises (@p37) :args ((or @t36 @t40))) % 0.37/0.55 (step @p39 :rule chain_m_resolution :premises (@p38 @p32) :args (@t36 @t31 @t41)) % 0.37/0.55 (step @p40 :rule cnf_equiv_pos1 :args (@t44)) % 0.37/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or @t37 @t43 (not @t44)))) % 0.37/0.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p6) :args (@t43 @t35 (@list @t36 @t44))) % 0.37/0.55 (step @p43 :rule instantiate :premises (@p15) :args ((@list @t21 @t19))) % 0.37/0.55 (step @p44 :rule cnf_or_neg :args (@t30 1)) % 0.37/0.55 (step @p45 :rule chain_m_resolution :premises (@p44 @p21) :args ((not @t28) @t31 @t32)) % 0.37/0.55 (step @p46 :rule bool-double-not-elim :args (@t45)) % 0.37/0.55 (step @p47 :rule refl :args (@t28)) % 0.37/0.55 (step @p48 :rule refl :args (@t48)) % 0.37/0.55 (step @p49 :rule nary_cong :premises (@p48 @p47 @p46) :args ((or @t48 @t28 (not @t46)))) % 0.37/0.55 (step @p50 :rule cnf_equiv_pos2 :args (@t47)) % 0.37/0.55 (step @p51 :rule eq_resolve :premises (@p50 @p49)) % 0.37/0.55 (step @p52 :rule reordering :premises (@p51) :args ((or @t28 @t45 @t48))) % 0.37/0.55 (step @p53 :rule chain_m_resolution :premises (@p52 @p45 @p43) :args (@t45 @t49 (@list @t28 @t47))) % 0.37/0.55 (step @p54 :rule instantiate :premises (@p53) :args ((@list @t24))) % 0.37/0.55 (step @p55 :rule bool-double-not-elim :args (@t38)) % 0.37/0.55 (step @p56 :rule nary_cong :premises (@p34 @p55) :args ((or @t40 (not @t39)))) % 0.37/0.55 (step @p57 :rule cnf_or_neg :args (@t40 0)) % 0.37/0.55 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.37/0.55 (step @p59 :rule reordering :premises (@p58) :args ((or @t38 @t40))) % 0.37/0.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p32) :args (@t38 @t31 @t41)) % 0.37/0.55 (step @p61 :rule cnf_or_pos :args (@t51)) % 0.37/0.55 (step @p62 :rule reordering :premises (@p61) :args ((or @t39 @t50 (not @t51)))) % 0.37/0.55 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p54) :args (@t50 @t35 (@list @t38 @t51))) % 0.37/0.55 (step @p64 :rule cnf_and_pos :args (@t43 0)) % 0.37/0.55 (step @p65 :rule reordering :premises (@p64) :args ((or @t42 (not @t43)))) % 0.37/0.55 (step @p66 false :rule chain_m_resolution :premises (@p65 @p63 @p42) :args (false @t49 (@list @t42 @t43))) % 0.37/0.55 ) % 0.37/0.55 % SZS output end Proof % 0.37/0.55 % cvc5 exiting %------------------------------------------------------------------------------