%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET579+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 : n025.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 08:48:05 AM UTC 2026 % Result : Theorem 0.45s 0.63s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET579+3 : TPTP v9.2.1. Released v2.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n025.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 16:03:16 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.45/0.63 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.45/0.63 % SZS status Theorem % 0.45/0.63 % SZS output start Proof % 0.45/0.63 ( % 0.45/0.63 (declare-sort $$unsorted 0) % 0.45/0.63 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (declare-const tptp.difference (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.63 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.45/0.63 (define @t1 () (@var "C" $$unsorted)) % 0.45/0.63 (define @t2 () (@var "D" $$unsorted)) % 0.45/0.63 (define @t3 () (tptp.member @t2 @t1)) % 0.45/0.63 (define @t4 () (@var "B" $$unsorted)) % 0.45/0.63 (define @t5 () (tptp.member @t2 @t4)) % 0.45/0.63 (define @t6 () (@list @t4 @t1 @t2)) % 0.45/0.63 (define @t7 () (tptp.subset @t4 @t1)) % 0.45/0.63 (define @t8 () (@list @t4 @t1)) % 0.45/0.63 (define @t9 () (@list @t2)) % 0.45/0.63 (define @t10 () (forall @t9 (=> @t5 @t3))) % 0.45/0.63 (define @t11 () (= @t7 @t10)) % 0.45/0.63 (define @t12 () (forall @t8 @t11)) % 0.45/0.63 (define @t13 () (= @t4 (tptp.difference @t1 @t2))) % 0.45/0.63 (define @t14 () (@var "E" $$unsorted)) % 0.45/0.63 (define @t15 () (@list @t14)) % 0.45/0.63 (define @t16 () (forall @t15 (= (tptp.member @t14 @t4) (and (tptp.member @t14 @t1) (not (tptp.member @t14 @t2)))))) % 0.45/0.63 (define @t17 () (forall @t6 (=> @t16 @t13))) % 0.45/0.63 (define @t18 () (not @t17)) % 0.45/0.63 (define @t19 () (forall @t6 (or (not @t16) @t13))) % 0.45/0.63 (define @t20 () (@quantifiers_skolemize @t19 0)) % 0.45/0.63 (define @t21 () (@quantifiers_skolemize @t19 2)) % 0.45/0.63 (define @t22 () (@quantifiers_skolemize @t19 1)) % 0.45/0.63 (define @t23 () (tptp.difference @t22 @t21)) % 0.45/0.63 (define @t24 () (@list @t20 @t23)) % 0.45/0.63 (define @t25 () (= @t20 @t23)) % 0.45/0.63 (define @t26 () (forall @t15 (= (tptp.member @t14 @t20) (and (tptp.member @t14 @t22) (not (tptp.member @t14 @t21)))))) % 0.45/0.63 (define @t27 () (not @t26)) % 0.45/0.63 (define @t28 () (or @t27 @t25)) % 0.45/0.63 (define @t29 () (@list true)) % 0.45/0.63 (define @t30 () (@list @t28)) % 0.45/0.63 (define @t31 () (tptp.subset @t23 @t20)) % 0.45/0.63 (define @t32 () (tptp.subset @t20 @t23)) % 0.45/0.63 (define @t33 () (and @t32 @t31)) % 0.45/0.63 (define @t34 () (= @t25 @t33)) % 0.45/0.63 (define @t35 () (not @t33)) % 0.45/0.63 (define @t36 () (@list true false)) % 0.45/0.63 (define @t37 () (tptp.member @t2 @t23)) % 0.45/0.63 (define @t38 () (tptp.member @t2 @t20)) % 0.45/0.63 (define @t39 () (forall @t9 (or (not @t38) @t37))) % 0.45/0.63 (define @t40 () (@quantifiers_skolemize @t39 0)) % 0.45/0.63 (define @t41 () (tptp.member @t40 @t20)) % 0.45/0.63 (define @t42 () (tptp.member @t40 @t23)) % 0.45/0.63 (define @t43 () (not @t41)) % 0.45/0.63 (define @t44 () (or @t43 @t42)) % 0.45/0.63 (define @t45 () (and (tptp.member @t40 @t22) (not (tptp.member @t40 @t21)))) % 0.45/0.63 (define @t46 () (= @t41 @t45)) % 0.45/0.63 (define @t47 () (= @t42 @t45)) % 0.45/0.63 (define @t48 () (not @t44)) % 0.45/0.63 (define @t49 () (not @t39)) % 0.45/0.63 (define @t50 () (= @t32 @t39)) % 0.45/0.63 (define @t51 () (@list false false)) % 0.45/0.63 (define @t52 () (not @t31)) % 0.45/0.63 (define @t53 () (forall @t9 (or (not @t37) @t38))) % 0.45/0.63 (define @t54 () (= @t31 @t53)) % 0.45/0.63 (define @t55 () (not @t53)) % 0.45/0.63 (define @t56 () (@quantifiers_skolemize @t53 0)) % 0.45/0.63 (define @t57 () (tptp.member @t56 @t20)) % 0.45/0.63 (define @t58 () (tptp.member @t56 @t23)) % 0.45/0.63 (define @t59 () (not @t58)) % 0.45/0.63 (define @t60 () (or @t59 @t57)) % 0.45/0.63 (define @t61 () (not @t60)) % 0.45/0.63 (define @t62 () (@list @t60)) % 0.45/0.63 (define @t63 () (and (tptp.member @t56 @t22) (not (tptp.member @t56 @t21)))) % 0.45/0.63 (define @t64 () (= @t58 @t63)) % 0.45/0.63 (define @t65 () (= @t57 @t63)) % 0.45/0.63 (assume @p1 (forall @t6 (= (tptp.member @t2 (tptp.difference @t4 @t1)) (and @t5 (not @t3))))) % 0.45/0.63 (assume @p2 (forall @t8 (= (= @t4 @t1) (and @t7 (tptp.subset @t1 @t4))))) % 0.45/0.63 (assume @p3 @t12) % 0.45/0.63 (assume @p4 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.45/0.63 (assume @p5 @t18) % 0.45/0.63 (assume @p6 true) % 0.45/0.63 (step @p7 :rule bool-impl-elim :args (@t5 @t3)) % 0.45/0.63 (step @p8 :rule cong :premises (@p7) :args (@t10)) % 0.45/0.63 (step @p9 :rule refl :args (@t7)) % 0.45/0.63 (step @p10 :rule cong :premises (@p9 @p8) :args (@t11)) % 0.45/0.63 (step @p11 :rule cong :premises (@p10) :args (@t12)) % 0.45/0.63 (step @p12 :rule eq_resolve :premises (@p3 @p11)) % 0.45/0.63 (step @p13 :rule instantiate :premises (@p12) :args ((@list @t23 @t20))) % 0.45/0.63 (step @p14 :rule instantiate :premises (@p2) :args (@t24)) % 0.45/0.63 (step @p15 :rule bool-impl-elim :args (@t16 @t13)) % 0.45/0.63 (step @p16 :rule cong :premises (@p15) :args (@t17)) % 0.45/0.63 (step @p17 :rule cong :premises (@p16) :args (@t18)) % 0.45/0.63 (step @p18 :rule eq_resolve :premises (@p5 @p17)) % 0.45/0.63 (step @p19 :rule skolemize :premises (@p18)) % 0.45/0.63 (step @p20 :rule cnf_or_neg :args (@t28 1)) % 0.45/0.63 (step @p21 :rule chain_m_resolution :premises (@p20 @p19) :args ((not @t25) @t29 @t30)) % 0.45/0.63 (step @p22 :rule cnf_equiv_pos2 :args (@t34)) % 0.45/0.63 (step @p23 :rule reordering :premises (@p22) :args ((or @t25 @t35 (not @t34)))) % 0.45/0.63 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p14) :args (@t35 @t36 (@list @t25 @t34))) % 0.45/0.63 (step @p25 :rule instantiate :premises (@p12) :args (@t24)) % 0.45/0.63 (step @p26 :rule bool-double-not-elim :args (@t41)) % 0.45/0.63 (step @p27 :rule refl :args (@t44)) % 0.45/0.63 (step @p28 :rule nary_cong :premises (@p27 @p26) :args ((or @t44 (not @t43)))) % 0.45/0.63 (step @p29 :rule cnf_or_neg :args (@t44 0)) % 0.45/0.63 (step @p30 :rule eq_resolve :premises (@p29 @p28)) % 0.45/0.63 (step @p31 :rule reordering :premises (@p30) :args ((or @t41 @t44))) % 0.45/0.63 (step @p32 :rule cnf_or_neg :args (@t44 1)) % 0.45/0.63 (step @p33 :rule bool-double-not-elim :args (@t26)) % 0.45/0.63 (step @p34 :rule refl :args (@t28)) % 0.45/0.63 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or @t28 (not @t27)))) % 0.45/0.63 (step @p36 :rule cnf_or_neg :args (@t28 0)) % 0.45/0.63 (step @p37 :rule eq_resolve :premises (@p36 @p35)) % 0.45/0.63 (step @p38 :rule reordering :premises (@p37) :args ((or @t26 @t28))) % 0.45/0.63 (step @p39 :rule chain_m_resolution :premises (@p38 @p19) :args (@t26 @t29 @t30)) % 0.45/0.63 (step @p40 :rule instantiate :premises (@p39) :args ((@list @t40))) % 0.45/0.63 (step @p41 :rule cnf_equiv_pos1 :args (@t46)) % 0.45/0.63 (step @p42 :rule reordering :premises (@p41) :args ((or @t43 @t45 (not @t46)))) % 0.45/0.63 (step @p43 :rule instantiate :premises (@p1) :args ((@list @t22 @t21 @t40))) % 0.45/0.63 (step @p44 :rule cnf_equiv_pos2 :args (@t47)) % 0.45/0.63 (step @p45 :rule reordering :premises (@p44) :args ((or @t42 (not @t45) (not @t47)))) % 0.45/0.63 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42 @p40 @p32 @p31) :args (@t44 (@list false false false true false) (@list @t47 @t45 @t46 @t42 @t41))) % 0.45/0.63 (step @p47 :rule refl :args (@t48)) % 0.45/0.63 (step @p48 :rule bool-double-not-elim :args (@t39)) % 0.45/0.63 (step @p49 :rule nary_cong :premises (@p48 @p47) :args ((or (not @t49) @t48))) % 0.45/0.63 (assume-push @p93 @t49) % 0.45/0.63 (step @p51 :rule skolemize :premises (@p93)) % 0.45/0.63 (step-pop @p94 :rule scope :premises (@p51)) % 0.45/0.63 (step @p52 :rule process_scope :premises (@p94) :args (@t48)) % 0.45/0.63 (step @p54 :rule implies_elim :premises (@p52)) % 0.45/0.63 (step @p55 :rule eq_resolve :premises (@p54 @p49)) % 0.45/0.63 (step @p56 :rule chain_m_resolution :premises (@p55 @p46) :args (@t39 (@list false) (@list @t44))) % 0.45/0.63 (step @p57 :rule cnf_equiv_pos2 :args (@t50)) % 0.45/0.63 (step @p58 :rule reordering :premises (@p57) :args ((or @t32 @t49 (not @t50)))) % 0.45/0.63 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p25) :args (@t32 @t51 (@list @t39 @t50))) % 0.45/0.63 (step @p60 :rule cnf_and_neg :args (@t33)) % 0.45/0.63 (step @p61 :rule reordering :premises (@p60) :args ((or (not @t32) @t33 @t52))) % 0.45/0.63 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p24) :args (@t52 (@list false true) (@list @t32 @t33))) % 0.45/0.63 (step @p63 :rule cnf_equiv_pos2 :args (@t54)) % 0.45/0.63 (step @p64 :rule reordering :premises (@p63) :args ((or @t31 @t55 (not @t54)))) % 0.45/0.63 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p13) :args (@t55 @t36 (@list @t31 @t54))) % 0.45/0.63 (step @p66 :rule refl :args (@t61)) % 0.45/0.63 (step @p67 :rule bool-double-not-elim :args (@t53)) % 0.45/0.63 (step @p68 :rule nary_cong :premises (@p67 @p66) :args ((or (not @t55) @t61))) % 0.45/0.63 (assume-push @p95 @t55) % 0.45/0.63 (step @p70 :rule skolemize :premises (@p95)) % 0.45/0.63 (step-pop @p96 :rule scope :premises (@p70)) % 0.45/0.63 (step @p71 :rule process_scope :premises (@p96) :args (@t61)) % 0.45/0.63 (step @p73 :rule implies_elim :premises (@p71)) % 0.45/0.63 (step @p74 :rule eq_resolve :premises (@p73 @p68)) % 0.45/0.63 (step @p75 :rule chain_m_resolution :premises (@p74 @p65) :args (@t61 @t29 (@list @t53))) % 0.45/0.63 (step @p76 :rule cnf_or_neg :args (@t60 1)) % 0.45/0.63 (step @p77 :rule chain_m_resolution :premises (@p76 @p75) :args ((not @t57) @t29 @t62)) % 0.45/0.63 (step @p78 :rule instantiate :premises (@p39) :args ((@list @t56))) % 0.45/0.63 (step @p79 :rule instantiate :premises (@p1) :args ((@list @t22 @t21 @t56))) % 0.45/0.63 (step @p80 :rule bool-double-not-elim :args (@t58)) % 0.45/0.63 (step @p81 :rule refl :args (@t60)) % 0.45/0.63 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t60 (not @t59)))) % 0.45/0.63 (step @p83 :rule cnf_or_neg :args (@t60 0)) % 0.45/0.63 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.45/0.63 (step @p85 :rule reordering :premises (@p84) :args ((or @t58 @t60))) % 0.45/0.63 (step @p86 :rule chain_m_resolution :premises (@p85 @p75) :args (@t58 @t29 @t62)) % 0.45/0.63 (step @p87 :rule cnf_equiv_pos1 :args (@t64)) % 0.45/0.63 (step @p88 :rule reordering :premises (@p87) :args ((or @t59 @t63 (not @t64)))) % 0.45/0.63 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p79) :args (@t63 @t51 (@list @t58 @t64))) % 0.45/0.63 (step @p90 :rule cnf_equiv_pos2 :args (@t65)) % 0.45/0.63 (step @p91 :rule reordering :premises (@p90) :args ((or @t57 (not @t63) (not @t65)))) % 0.45/0.63 (step @p92 false :rule chain_m_resolution :premises (@p91 @p89 @p78 @p77) :args (false (@list false false true) (@list @t63 @t65 @t57))) % 0.45/0.63 ) % 0.45/0.63 % SZS output end Proof % 0.45/0.63 % cvc5 exiting %------------------------------------------------------------------------------