%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET027+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 : n003.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 08:47:02 AM UTC 2026 % Result : Theorem 0.30s 0.54s % Output : Proof 0.30s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET027+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 % 0.15/0.34 % Computer : n003.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 14:42:14 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.30/0.54 % SZS status Theorem % 0.30/0.54 % SZS output start Proof % 0.30/0.54 ( % 0.30/0.54 (declare-sort $$unsorted 0) % 0.30/0.54 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.30/0.54 (define @t1 () (@var "C" $$unsorted)) % 0.30/0.54 (define @t2 () (@var "D" $$unsorted)) % 0.30/0.54 (define @t3 () (tptp.member @t2 @t1)) % 0.30/0.54 (define @t4 () (@var "B" $$unsorted)) % 0.30/0.54 (define @t5 () (tptp.member @t2 @t4)) % 0.30/0.54 (define @t6 () (@list @t2)) % 0.30/0.54 (define @t7 () (forall @t6 (=> @t5 @t3))) % 0.30/0.54 (define @t8 () (tptp.subset @t4 @t1)) % 0.30/0.54 (define @t9 () (= @t8 @t7)) % 0.30/0.54 (define @t10 () (forall (@list @t4 @t1) @t9)) % 0.30/0.54 (define @t11 () (tptp.subset @t4 @t2)) % 0.30/0.54 (define @t12 () (tptp.subset @t1 @t2)) % 0.30/0.54 (define @t13 () (and @t8 @t12)) % 0.30/0.54 (define @t14 () (@list @t4 @t1 @t2)) % 0.30/0.54 (define @t15 () (forall @t14 (=> @t13 @t11))) % 0.30/0.54 (define @t16 () (not @t15)) % 0.30/0.54 (define @t17 () (not @t12)) % 0.30/0.54 (define @t18 () (not @t8)) % 0.30/0.54 (define @t19 () (or @t18 @t17 @t11)) % 0.30/0.54 (define @t20 () (forall @t14 @t19)) % 0.30/0.54 (define @t21 () (@quantifiers_skolemize @t20 2)) % 0.30/0.54 (define @t22 () (@quantifiers_skolemize @t20 0)) % 0.30/0.54 (define @t23 () (tptp.subset @t22 @t21)) % 0.30/0.54 (define @t24 () (@quantifiers_skolemize @t20 1)) % 0.30/0.54 (define @t25 () (tptp.subset @t24 @t21)) % 0.30/0.54 (define @t26 () (not @t25)) % 0.30/0.54 (define @t27 () (tptp.subset @t22 @t24)) % 0.30/0.54 (define @t28 () (not @t27)) % 0.30/0.54 (define @t29 () (or @t28 @t26 @t23)) % 0.30/0.54 (define @t30 () (@list true)) % 0.30/0.54 (define @t31 () (@list @t29)) % 0.30/0.54 (define @t32 () (tptp.member @t2 @t21)) % 0.30/0.54 (define @t33 () (not (tptp.member @t2 @t22))) % 0.30/0.54 (define @t34 () (forall @t6 (or @t33 @t32))) % 0.30/0.54 (define @t35 () (= @t23 @t34)) % 0.30/0.54 (define @t36 () (not @t34)) % 0.30/0.54 (define @t37 () (@quantifiers_skolemize @t34 0)) % 0.30/0.54 (define @t38 () (tptp.member @t37 @t21)) % 0.30/0.54 (define @t39 () (tptp.member @t37 @t22)) % 0.30/0.54 (define @t40 () (not @t39)) % 0.30/0.54 (define @t41 () (or @t40 @t38)) % 0.30/0.54 (define @t42 () (@list @t41)) % 0.30/0.54 (define @t43 () (tptp.member @t2 @t24)) % 0.30/0.54 (define @t44 () (forall @t6 (or (not @t43) @t32))) % 0.30/0.54 (define @t45 () (= @t25 @t44)) % 0.30/0.54 (define @t46 () (@list false false)) % 0.30/0.54 (define @t47 () (@list @t37)) % 0.30/0.54 (define @t48 () (forall @t6 (or @t33 @t43))) % 0.30/0.54 (define @t49 () (= @t27 @t48)) % 0.30/0.54 (define @t50 () (tptp.member @t37 @t24)) % 0.30/0.54 (define @t51 () (or @t40 @t50)) % 0.30/0.54 (define @t52 () (not @t50)) % 0.30/0.54 (define @t53 () (or @t52 @t38)) % 0.30/0.54 (assume @p1 @t10) % 0.30/0.54 (assume @p2 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.30/0.54 (assume @p3 @t16) % 0.30/0.54 (assume @p4 true) % 0.30/0.54 (step @p5 :rule bool-impl-elim :args (@t5 @t3)) % 0.30/0.54 (step @p6 :rule cong :premises (@p5) :args (@t7)) % 0.30/0.54 (step @p7 :rule refl :args (@t8)) % 0.30/0.54 (step @p8 :rule cong :premises (@p7 @p6) :args (@t9)) % 0.30/0.54 (step @p9 :rule cong :premises (@p8) :args (@t10)) % 0.30/0.54 (step @p10 :rule eq_resolve :premises (@p1 @p9)) % 0.30/0.54 (step @p11 :rule instantiate :premises (@p10) :args ((@list @t22 @t21))) % 0.30/0.54 (step @p12 :rule aci_norm :args ((= (or (or @t18 @t17) @t11) @t19))) % 0.30/0.54 (step @p13 :rule refl :args (@t11)) % 0.30/0.54 (step @p14 :rule bool-and-de-morgan :args (@t8 @t12 true)) % 0.30/0.54 (step @p15 :rule nary_cong :premises (@p14 @p13) :args ((or (not @t13) @t11))) % 0.30/0.54 (step @p16 :rule trans :premises (@p15 @p12)) % 0.30/0.54 (step @p17 :rule bool-impl-elim :args (@t13 @t11)) % 0.30/0.54 (step @p18 :rule trans :premises (@p17 @p16)) % 0.30/0.54 (step @p19 :rule cong :premises (@p18) :args (@t15)) % 0.30/0.54 (step @p20 :rule cong :premises (@p19) :args (@t16)) % 0.30/0.54 (step @p21 :rule eq_resolve :premises (@p3 @p20)) % 0.30/0.54 (step @p22 :rule skolemize :premises (@p21)) % 0.30/0.54 (step @p23 :rule cnf_or_neg :args (@t29 2)) % 0.30/0.54 (step @p24 :rule chain_m_resolution :premises (@p23 @p22) :args ((not @t23) @t30 @t31)) % 0.30/0.54 (step @p25 :rule cnf_equiv_pos2 :args (@t35)) % 0.30/0.54 (step @p26 :rule reordering :premises (@p25) :args ((or @t23 @t36 (not @t35)))) % 0.30/0.54 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p11) :args (@t36 (@list true false) (@list @t23 @t35))) % 0.30/0.54 (step @p28 :rule skolemize :premises (@p27)) % 0.30/0.54 (step @p29 :rule cnf_or_neg :args (@t41 1)) % 0.30/0.54 (step @p30 :rule chain_m_resolution :premises (@p29 @p28) :args ((not @t38) @t30 @t42)) % 0.30/0.54 (step @p31 :rule instantiate :premises (@p10) :args ((@list @t24 @t21))) % 0.30/0.54 (step @p32 :rule bool-double-not-elim :args (@t25)) % 0.30/0.54 (step @p33 :rule refl :args (@t29)) % 0.30/0.54 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or @t29 (not @t26)))) % 0.30/0.55 (step @p35 :rule cnf_or_neg :args (@t29 1)) % 0.30/0.55 (step @p36 :rule eq_resolve :premises (@p35 @p34)) % 0.30/0.55 (step @p37 :rule reordering :premises (@p36) :args ((or @t25 @t29))) % 0.30/0.55 (step @p38 :rule chain_m_resolution :premises (@p37 @p22) :args (@t25 @t30 @t31)) % 0.30/0.55 (step @p39 :rule cnf_equiv_pos1 :args (@t45)) % 0.30/0.55 (step @p40 :rule reordering :premises (@p39) :args ((or @t26 @t44 (not @t45)))) % 0.30/0.55 (step @p41 :rule chain_m_resolution :premises (@p40 @p38 @p31) :args (@t44 @t46 (@list @t25 @t45))) % 0.30/0.55 (step @p42 :rule instantiate :premises (@p41) :args (@t47)) % 0.30/0.55 (step @p43 :rule instantiate :premises (@p10) :args ((@list @t22 @t24))) % 0.30/0.55 (step @p44 :rule bool-double-not-elim :args (@t27)) % 0.30/0.55 (step @p45 :rule nary_cong :premises (@p33 @p44) :args ((or @t29 (not @t28)))) % 0.30/0.55 (step @p46 :rule cnf_or_neg :args (@t29 0)) % 0.30/0.55 (step @p47 :rule eq_resolve :premises (@p46 @p45)) % 0.30/0.55 (step @p48 :rule reordering :premises (@p47) :args ((or @t27 @t29))) % 0.30/0.55 (step @p49 :rule chain_m_resolution :premises (@p48 @p22) :args (@t27 @t30 @t31)) % 0.30/0.55 (step @p50 :rule cnf_equiv_pos1 :args (@t49)) % 0.30/0.55 (step @p51 :rule reordering :premises (@p50) :args ((or @t28 @t48 (not @t49)))) % 0.30/0.55 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p43) :args (@t48 @t46 (@list @t27 @t49))) % 0.30/0.55 (step @p53 :rule instantiate :premises (@p52) :args (@t47)) % 0.30/0.55 (step @p54 :rule bool-double-not-elim :args (@t39)) % 0.30/0.55 (step @p55 :rule refl :args (@t41)) % 0.30/0.55 (step @p56 :rule nary_cong :premises (@p55 @p54) :args ((or @t41 (not @t40)))) % 0.30/0.55 (step @p57 :rule cnf_or_neg :args (@t41 0)) % 0.30/0.55 (step @p58 :rule eq_resolve :premises (@p57 @p56)) % 0.30/0.55 (step @p59 :rule reordering :premises (@p58) :args ((or @t39 @t41))) % 0.30/0.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p28) :args (@t39 @t30 @t42)) % 0.30/0.55 (step @p61 :rule cnf_or_pos :args (@t51)) % 0.30/0.55 (step @p62 :rule reordering :premises (@p61) :args ((or @t40 @t50 (not @t51)))) % 0.30/0.55 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p53) :args (@t50 @t46 (@list @t39 @t51))) % 0.30/0.55 (step @p64 :rule cnf_or_pos :args (@t53)) % 0.30/0.55 (step @p65 :rule reordering :premises (@p64) :args ((or @t38 @t52 (not @t53)))) % 0.30/0.55 (step @p66 false :rule chain_m_resolution :premises (@p65 @p63 @p42 @p30) :args (false (@list false false true) (@list @t50 @t53 @t38))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------