%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET009+3 : 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 : n007.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 08:46:53 AM UTC 2026 % Result : Theorem 0.30s 0.55s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET009+3 : TPTP v9.2.1. Released v2.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 14:39:26 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort $$unsorted 0) % 0.30/0.55 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.30/0.55 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.30/0.55 (define @t1 () (@var "C" $$unsorted)) % 0.30/0.55 (define @t2 () (@var "D" $$unsorted)) % 0.30/0.55 (define @t3 () (tptp.member @t2 @t1)) % 0.30/0.55 (define @t4 () (@var "B" $$unsorted)) % 0.30/0.55 (define @t5 () (tptp.member @t2 @t4)) % 0.30/0.55 (define @t6 () (@list @t4 @t1 @t2)) % 0.30/0.55 (define @t7 () (@list @t2)) % 0.30/0.55 (define @t8 () (forall @t7 (=> @t5 @t3))) % 0.30/0.55 (define @t9 () (tptp.subset @t4 @t1)) % 0.30/0.55 (define @t10 () (= @t9 @t8)) % 0.30/0.55 (define @t11 () (forall (@list @t4 @t1) @t10)) % 0.30/0.55 (define @t12 () (tptp.subset (tptp.difference @t2 @t1) (tptp.difference @t2 @t4))) % 0.30/0.55 (define @t13 () (forall @t6 (=> @t9 @t12))) % 0.30/0.55 (define @t14 () (not @t13)) % 0.30/0.55 (define @t15 () (forall @t6 (or (not @t9) @t12))) % 0.30/0.55 (define @t16 () (@quantifiers_skolemize @t15 1)) % 0.30/0.55 (define @t17 () (@quantifiers_skolemize @t15 0)) % 0.30/0.55 (define @t18 () (tptp.subset @t17 @t16)) % 0.30/0.55 (define @t19 () (@quantifiers_skolemize @t15 2)) % 0.30/0.55 (define @t20 () (tptp.difference @t19 @t17)) % 0.30/0.55 (define @t21 () (tptp.difference @t19 @t16)) % 0.30/0.55 (define @t22 () (tptp.subset @t21 @t20)) % 0.30/0.55 (define @t23 () (not @t18)) % 0.30/0.55 (define @t24 () (or @t23 @t22)) % 0.30/0.55 (define @t25 () (@list true)) % 0.30/0.55 (define @t26 () (@list @t24)) % 0.30/0.55 (define @t27 () (forall @t7 (or (not (tptp.member @t2 @t17)) (tptp.member @t2 @t16)))) % 0.30/0.55 (define @t28 () (= @t18 @t27)) % 0.30/0.55 (define @t29 () (@list false false)) % 0.30/0.55 (define @t30 () (forall @t7 (or (not (tptp.member @t2 @t21)) (tptp.member @t2 @t20)))) % 0.30/0.55 (define @t31 () (@quantifiers_skolemize @t30 0)) % 0.30/0.55 (define @t32 () (= @t22 @t30)) % 0.30/0.55 (define @t33 () (not @t30)) % 0.30/0.55 (define @t34 () (@list true false)) % 0.30/0.55 (define @t35 () (tptp.member @t31 @t21)) % 0.30/0.55 (define @t36 () (tptp.member @t31 @t20)) % 0.30/0.55 (define @t37 () (not @t35)) % 0.30/0.55 (define @t38 () (or @t37 @t36)) % 0.30/0.55 (define @t39 () (@list @t38)) % 0.30/0.55 (define @t40 () (tptp.member @t31 @t16)) % 0.30/0.55 (define @t41 () (not @t40)) % 0.30/0.55 (define @t42 () (tptp.member @t31 @t19)) % 0.30/0.55 (define @t43 () (and @t42 @t41)) % 0.30/0.55 (define @t44 () (= @t35 @t43)) % 0.30/0.55 (define @t45 () (not @t43)) % 0.30/0.55 (define @t46 () (@list false)) % 0.30/0.55 (define @t47 () (@list @t43)) % 0.30/0.55 (define @t48 () (tptp.member @t31 @t17)) % 0.30/0.55 (define @t49 () (not @t48)) % 0.30/0.55 (define @t50 () (and @t42 @t49)) % 0.30/0.55 (define @t51 () (= @t36 @t50)) % 0.30/0.55 (define @t52 () (not @t50)) % 0.30/0.55 (define @t53 () (not @t42)) % 0.30/0.55 (define @t54 () (or @t49 @t40)) % 0.30/0.55 (define @t55 () (not @t54)) % 0.30/0.55 (assume @p1 (forall @t6 (= (tptp.member @t2 (tptp.difference @t4 @t1)) (and @t5 (not @t3))))) % 0.30/0.55 (assume @p2 @t11) % 0.30/0.55 (assume @p3 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.30/0.55 (assume @p4 @t14) % 0.30/0.55 (assume @p5 true) % 0.30/0.55 (step @p6 :rule bool-impl-elim :args (@t5 @t3)) % 0.30/0.55 (step @p7 :rule cong :premises (@p6) :args (@t8)) % 0.30/0.55 (step @p8 :rule refl :args (@t9)) % 0.30/0.55 (step @p9 :rule cong :premises (@p8 @p7) :args (@t10)) % 0.30/0.55 (step @p10 :rule cong :premises (@p9) :args (@t11)) % 0.30/0.55 (step @p11 :rule eq_resolve :premises (@p2 @p10)) % 0.30/0.55 (step @p12 :rule instantiate :premises (@p11) :args ((@list @t17 @t16))) % 0.30/0.55 (step @p13 :rule bool-impl-elim :args (@t9 @t12)) % 0.30/0.55 (step @p14 :rule cong :premises (@p13) :args (@t13)) % 0.30/0.55 (step @p15 :rule cong :premises (@p14) :args (@t14)) % 0.30/0.55 (step @p16 :rule eq_resolve :premises (@p4 @p15)) % 0.30/0.55 (step @p17 :rule skolemize :premises (@p16)) % 0.30/0.55 (step @p18 :rule bool-double-not-elim :args (@t18)) % 0.30/0.55 (step @p19 :rule refl :args (@t24)) % 0.30/0.55 (step @p20 :rule nary_cong :premises (@p19 @p18) :args ((or @t24 (not @t23)))) % 0.30/0.55 (step @p21 :rule cnf_or_neg :args (@t24 0)) % 0.30/0.55 (step @p22 :rule eq_resolve :premises (@p21 @p20)) % 0.30/0.55 (step @p23 :rule reordering :premises (@p22) :args ((or @t18 @t24))) % 0.30/0.55 (step @p24 :rule chain_m_resolution :premises (@p23 @p17) :args (@t18 @t25 @t26)) % 0.30/0.55 (step @p25 :rule cnf_equiv_pos1 :args (@t28)) % 0.30/0.55 (step @p26 :rule reordering :premises (@p25) :args ((or @t23 @t27 (not @t28)))) % 0.30/0.55 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p12) :args (@t27 @t29 (@list @t18 @t28))) % 0.30/0.55 (step @p28 :rule instantiate :premises (@p1) :args ((@list @t19 @t16 @t31))) % 0.30/0.55 (step @p29 :rule instantiate :premises (@p11) :args ((@list @t21 @t20))) % 0.30/0.55 (step @p30 :rule cnf_or_neg :args (@t24 1)) % 0.30/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p17) :args ((not @t22) @t25 @t26)) % 0.30/0.55 (step @p32 :rule cnf_equiv_pos2 :args (@t32)) % 0.30/0.55 (step @p33 :rule reordering :premises (@p32) :args ((or @t22 @t33 (not @t32)))) % 0.30/0.55 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p29) :args (@t33 @t34 (@list @t22 @t32))) % 0.30/0.55 (step @p35 :rule skolemize :premises (@p34)) % 0.30/0.55 (step @p36 :rule bool-double-not-elim :args (@t35)) % 0.30/0.55 (step @p37 :rule refl :args (@t38)) % 0.30/0.55 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t38 (not @t37)))) % 0.30/0.55 (step @p39 :rule cnf_or_neg :args (@t38 0)) % 0.30/0.55 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.30/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or @t35 @t38))) % 0.30/0.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p35) :args (@t35 @t25 @t39)) % 0.30/0.55 (step @p43 :rule cnf_equiv_pos1 :args (@t44)) % 0.30/0.55 (step @p44 :rule reordering :premises (@p43) :args ((or @t37 @t43 (not @t44)))) % 0.30/0.55 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p28) :args (@t43 @t29 (@list @t35 @t44))) % 0.30/0.55 (step @p46 :rule cnf_and_pos :args (@t43 0)) % 0.30/0.55 (step @p47 :rule reordering :premises (@p46) :args ((or @t42 @t45))) % 0.30/0.55 (step @p48 :rule chain_m_resolution :premises (@p47 @p45) :args (@t42 @t46 @t47)) % 0.30/0.55 (step @p49 :rule instantiate :premises (@p1) :args ((@list @t19 @t17 @t31))) % 0.30/0.55 (step @p50 :rule cnf_or_neg :args (@t38 1)) % 0.30/0.55 (step @p51 :rule chain_m_resolution :premises (@p50 @p35) :args ((not @t36) @t25 @t39)) % 0.30/0.55 (step @p52 :rule cnf_equiv_pos2 :args (@t51)) % 0.30/0.55 (step @p53 :rule reordering :premises (@p52) :args ((or @t36 @t52 (not @t51)))) % 0.30/0.55 (step @p54 :rule chain_m_resolution :premises (@p53 @p51 @p49) :args (@t52 @t34 (@list @t36 @t51))) % 0.30/0.55 (step @p55 :rule bool-double-not-elim :args (@t48)) % 0.30/0.55 (step @p56 :rule refl :args (@t53)) % 0.30/0.55 (step @p57 :rule refl :args (@t50)) % 0.30/0.55 (step @p58 :rule nary_cong :premises (@p57 @p56 @p55) :args ((or @t50 @t53 (not @t49)))) % 0.30/0.55 (step @p59 :rule cnf_and_neg :args (@t50)) % 0.30/0.55 (step @p60 :rule eq_resolve :premises (@p59 @p58)) % 0.30/0.55 (step @p61 :rule reordering :premises (@p60) :args ((or @t48 @t50 @t53))) % 0.30/0.55 (step @p62 :rule chain_m_resolution :premises (@p61 @p54 @p48) :args (@t48 @t34 (@list @t50 @t42))) % 0.30/0.55 (step @p63 :rule cnf_and_pos :args (@t43 1)) % 0.30/0.55 (step @p64 :rule reordering :premises (@p63) :args ((or @t41 @t45))) % 0.30/0.55 (step @p65 :rule chain_m_resolution :premises (@p64 @p45) :args (@t41 @t46 @t47)) % 0.30/0.55 (step @p66 :rule cnf_or_pos :args (@t54)) % 0.30/0.55 (step @p67 :rule reordering :premises (@p66) :args ((or @t40 @t49 @t55))) % 0.30/0.55 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p62) :args (@t55 @t34 (@list @t40 @t48))) % 0.30/0.55 (assume-push @p75 @t27) % 0.30/0.55 (step @p70 :rule instantiate :premises (@p27) :args ((@list @t31))) % 0.30/0.55 (step-pop @p76 :rule scope :premises (@p70)) % 0.30/0.55 (step @p71 :rule process_scope :premises (@p76) :args (@t54)) % 0.30/0.55 (step @p73 :rule implies_elim :premises (@p71)) % 0.30/0.55 (step @p74 false :rule chain_m_resolution :premises (@p73 @p68 @p27) :args (false @t34 (@list @t54 @t27))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------