%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET577+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 : n019.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 0.35s 0.59s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET577+3 : TPTP v9.2.1. Released v2.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n019.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 16:03:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.35/0.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.59 % SZS status Theorem % 0.35/0.59 % SZS output start Proof % 0.35/0.59 ( % 0.35/0.59 (declare-sort $$unsorted 0) % 0.35/0.59 (declare-const tptp.subset (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.59 (declare-const tptp.member (-> $$unsorted $$unsorted Bool)) % 0.35/0.59 (define @t1 () (@var "C" $$unsorted)) % 0.35/0.59 (define @t2 () (@var "D" $$unsorted)) % 0.35/0.59 (define @t3 () (tptp.member @t2 @t1)) % 0.35/0.59 (define @t4 () (@var "B" $$unsorted)) % 0.35/0.59 (define @t5 () (tptp.member @t2 @t4)) % 0.35/0.59 (define @t6 () (tptp.union @t4 @t1)) % 0.35/0.59 (define @t7 () (@list @t4 @t1 @t2)) % 0.35/0.59 (define @t8 () (forall @t7 (= (tptp.member @t2 @t6) (or @t5 @t3)))) % 0.35/0.59 (define @t9 () (tptp.subset @t4 @t1)) % 0.35/0.59 (define @t10 () (= @t4 @t1)) % 0.35/0.59 (define @t11 () (@list @t4 @t1)) % 0.35/0.59 (define @t12 () (@list @t2)) % 0.35/0.59 (define @t13 () (forall @t12 (=> @t5 @t3))) % 0.35/0.59 (define @t14 () (= @t9 @t13)) % 0.35/0.59 (define @t15 () (forall @t11 @t14)) % 0.35/0.59 (define @t16 () (= @t4 (tptp.union @t1 @t2))) % 0.35/0.59 (define @t17 () (@var "E" $$unsorted)) % 0.35/0.59 (define @t18 () (@list @t17)) % 0.35/0.59 (define @t19 () (forall @t18 (= (tptp.member @t17 @t4) (or (tptp.member @t17 @t1) (tptp.member @t17 @t2))))) % 0.35/0.59 (define @t20 () (forall @t7 (=> @t19 @t16))) % 0.35/0.59 (define @t21 () (not @t20)) % 0.35/0.59 (define @t22 () (forall @t7 (or (not @t19) @t16))) % 0.35/0.59 (define @t23 () (@quantifiers_skolemize @t22 2)) % 0.35/0.59 (define @t24 () (@quantifiers_skolemize @t22 1)) % 0.35/0.59 (define @t25 () (@quantifiers_skolemize @t22 0)) % 0.35/0.59 (define @t26 () (forall @t18 (= (tptp.member @t17 @t25) (or (tptp.member @t17 @t24) (tptp.member @t17 @t23))))) % 0.35/0.59 (define @t27 () (tptp.union @t24 @t23)) % 0.35/0.59 (define @t28 () (= @t25 @t27)) % 0.35/0.59 (define @t29 () (not @t26)) % 0.35/0.59 (define @t30 () (or @t29 @t28)) % 0.35/0.59 (define @t31 () (@list true)) % 0.35/0.59 (define @t32 () (@list @t30)) % 0.35/0.59 (define @t33 () (tptp.member @t2 @t25)) % 0.35/0.59 (define @t34 () (tptp.member @t2 @t27)) % 0.35/0.59 (define @t35 () (forall @t12 (or (not @t34) @t33))) % 0.35/0.59 (define @t36 () (@quantifiers_skolemize @t35 0)) % 0.35/0.59 (define @t37 () (@list @t25 @t27)) % 0.35/0.59 (define @t38 () (tptp.subset @t27 @t25)) % 0.35/0.59 (define @t39 () (tptp.subset @t25 @t27)) % 0.35/0.59 (define @t40 () (and @t39 @t38)) % 0.35/0.59 (define @t41 () (= @t28 @t40)) % 0.35/0.59 (define @t42 () (not @t40)) % 0.35/0.59 (define @t43 () (@list true false)) % 0.35/0.59 (define @t44 () (forall @t12 (or (not @t33) @t34))) % 0.35/0.59 (define @t45 () (@quantifiers_skolemize @t44 0)) % 0.35/0.59 (define @t46 () (tptp.member @t45 @t25)) % 0.35/0.59 (define @t47 () (tptp.member @t45 @t27)) % 0.35/0.59 (define @t48 () (not @t46)) % 0.35/0.59 (define @t49 () (or @t48 @t47)) % 0.35/0.59 (define @t50 () (or (tptp.member @t45 @t24) (tptp.member @t45 @t23))) % 0.35/0.59 (define @t51 () (= @t46 @t50)) % 0.35/0.59 (define @t52 () (= @t47 @t50)) % 0.35/0.59 (define @t53 () (not @t49)) % 0.35/0.59 (define @t54 () (not @t44)) % 0.35/0.59 (define @t55 () (= @t39 @t44)) % 0.35/0.59 (define @t56 () (not @t38)) % 0.35/0.59 (define @t57 () (@list false true)) % 0.35/0.59 (define @t58 () (= @t38 @t35)) % 0.35/0.59 (define @t59 () (not @t35)) % 0.35/0.59 (define @t60 () (tptp.member @t36 @t25)) % 0.35/0.59 (define @t61 () (tptp.member @t36 @t27)) % 0.35/0.59 (define @t62 () (not @t61)) % 0.35/0.59 (define @t63 () (or @t62 @t60)) % 0.35/0.59 (define @t64 () (not @t63)) % 0.35/0.59 (define @t65 () (@list @t63)) % 0.35/0.59 (define @t66 () (or (tptp.member @t36 @t24) (tptp.member @t36 @t23))) % 0.35/0.59 (define @t67 () (= @t60 @t66)) % 0.35/0.59 (define @t68 () (not @t66)) % 0.35/0.59 (define @t69 () (= @t61 @t66)) % 0.35/0.59 (define @t70 () (not @t69)) % 0.35/0.59 (assume @p1 @t8) % 0.35/0.59 (assume @p2 (forall @t11 (= @t10 (and @t9 (tptp.subset @t1 @t4))))) % 0.35/0.59 (assume @p3 (forall @t11 (= @t6 (tptp.union @t1 @t4)))) % 0.35/0.59 (assume @p4 @t15) % 0.35/0.59 (assume @p5 (forall (@list @t4) (tptp.subset @t4 @t4))) % 0.35/0.59 (assume @p6 (forall @t11 (= @t10 (forall @t12 (= @t5 @t3))))) % 0.35/0.59 (assume @p7 @t21) % 0.35/0.59 (assume @p8 true) % 0.35/0.59 (step @p9 :rule bool-impl-elim :args (@t19 @t16)) % 0.35/0.59 (step @p10 :rule cong :premises (@p9) :args (@t20)) % 0.35/0.59 (step @p11 :rule cong :premises (@p10) :args (@t21)) % 0.35/0.59 (step @p12 :rule eq_resolve :premises (@p7 @p11)) % 0.35/0.59 (step @p13 :rule skolemize :premises (@p12)) % 0.35/0.59 (step @p14 :rule bool-double-not-elim :args (@t26)) % 0.35/0.59 (step @p15 :rule refl :args (@t30)) % 0.35/0.59 (step @p16 :rule nary_cong :premises (@p15 @p14) :args ((or @t30 (not @t29)))) % 0.35/0.59 (step @p17 :rule cnf_or_neg :args (@t30 0)) % 0.35/0.59 (step @p18 :rule eq_resolve :premises (@p17 @p16)) % 0.35/0.59 (step @p19 :rule reordering :premises (@p18) :args ((or @t26 @t30))) % 0.35/0.59 (step @p20 :rule chain_m_resolution :premises (@p19 @p13) :args (@t26 @t31 @t32)) % 0.35/0.59 (step @p21 :rule instantiate :premises (@p20) :args ((@list @t36))) % 0.35/0.59 (step @p22 :rule bool-impl-elim :args (@t5 @t3)) % 0.35/0.59 (step @p23 :rule cong :premises (@p22) :args (@t13)) % 0.35/0.59 (step @p24 :rule refl :args (@t9)) % 0.35/0.59 (step @p25 :rule cong :premises (@p24 @p23) :args (@t14)) % 0.35/0.59 (step @p26 :rule cong :premises (@p25) :args (@t15)) % 0.35/0.59 (step @p27 :rule eq_resolve :premises (@p4 @p26)) % 0.35/0.59 (step @p28 :rule instantiate :premises (@p27) :args ((@list @t27 @t25))) % 0.35/0.59 (step @p29 :rule instantiate :premises (@p2) :args (@t37)) % 0.35/0.59 (step @p30 :rule cnf_or_neg :args (@t30 1)) % 0.35/0.59 (step @p31 :rule chain_m_resolution :premises (@p30 @p13) :args ((not @t28) @t31 @t32)) % 0.35/0.59 (step @p32 :rule cnf_equiv_pos2 :args (@t41)) % 0.35/0.59 (step @p33 :rule reordering :premises (@p32) :args ((or @t28 @t42 (not @t41)))) % 0.35/0.59 (step @p34 :rule chain_m_resolution :premises (@p33 @p31 @p29) :args (@t42 @t43 (@list @t28 @t41))) % 0.35/0.59 (step @p35 :rule instantiate :premises (@p27) :args (@t37)) % 0.35/0.59 (step @p36 :rule bool-double-not-elim :args (@t46)) % 0.35/0.59 (step @p37 :rule refl :args (@t49)) % 0.35/0.59 (step @p38 :rule nary_cong :premises (@p37 @p36) :args ((or @t49 (not @t48)))) % 0.35/0.59 (step @p39 :rule cnf_or_neg :args (@t49 0)) % 0.35/0.59 (step @p40 :rule eq_resolve :premises (@p39 @p38)) % 0.35/0.59 (step @p41 :rule reordering :premises (@p40) :args ((or @t46 @t49))) % 0.35/0.59 (step @p42 :rule cnf_or_neg :args (@t49 1)) % 0.35/0.59 (step @p43 :rule instantiate :premises (@p20) :args ((@list @t45))) % 0.35/0.59 (step @p44 :rule cnf_equiv_pos1 :args (@t51)) % 0.35/0.59 (step @p45 :rule reordering :premises (@p44) :args ((or @t48 @t50 (not @t51)))) % 0.35/0.59 (step @p46 :rule instantiate :premises (@p1) :args ((@list @t24 @t23 @t45))) % 0.35/0.59 (step @p47 :rule cnf_equiv_pos2 :args (@t52)) % 0.35/0.59 (step @p48 :rule reordering :premises (@p47) :args ((or @t47 (not @t50) (not @t52)))) % 0.35/0.59 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p45 @p43 @p42 @p41) :args (@t49 (@list false false false true false) (@list @t52 @t50 @t51 @t47 @t46))) % 0.35/0.59 (step @p50 :rule refl :args (@t53)) % 0.35/0.59 (step @p51 :rule bool-double-not-elim :args (@t44)) % 0.35/0.59 (step @p52 :rule nary_cong :premises (@p51 @p50) :args ((or (not @t54) @t53))) % 0.35/0.59 (assume-push @p100 @t54) % 0.35/0.59 (step @p54 :rule skolemize :premises (@p100)) % 0.35/0.59 (step-pop @p101 :rule scope :premises (@p54)) % 0.35/0.59 (step @p55 :rule process_scope :premises (@p101) :args (@t53)) % 0.35/0.59 (step @p57 :rule implies_elim :premises (@p55)) % 0.35/0.59 (step @p58 :rule eq_resolve :premises (@p57 @p52)) % 0.35/0.59 (step @p59 :rule chain_m_resolution :premises (@p58 @p49) :args (@t44 (@list false) (@list @t49))) % 0.35/0.59 (step @p60 :rule cnf_equiv_pos2 :args (@t55)) % 0.35/0.59 (step @p61 :rule reordering :premises (@p60) :args ((or @t39 @t54 (not @t55)))) % 0.35/0.59 (step @p62 :rule chain_m_resolution :premises (@p61 @p59 @p35) :args (@t39 (@list false false) (@list @t44 @t55))) % 0.35/0.59 (step @p63 :rule cnf_and_neg :args (@t40)) % 0.35/0.59 (step @p64 :rule reordering :premises (@p63) :args ((or (not @t39) @t40 @t56))) % 0.35/0.59 (step @p65 :rule chain_m_resolution :premises (@p64 @p62 @p34) :args (@t56 @t57 (@list @t39 @t40))) % 0.35/0.59 (step @p66 :rule cnf_equiv_pos2 :args (@t58)) % 0.35/0.59 (step @p67 :rule reordering :premises (@p66) :args ((or @t38 @t59 (not @t58)))) % 0.35/0.59 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p28) :args (@t59 @t43 (@list @t38 @t58))) % 0.35/0.59 (step @p69 :rule refl :args (@t64)) % 0.35/0.59 (step @p70 :rule bool-double-not-elim :args (@t35)) % 0.35/0.59 (step @p71 :rule nary_cong :premises (@p70 @p69) :args ((or (not @t59) @t64))) % 0.35/0.59 (assume-push @p102 @t59) % 0.35/0.59 (step @p73 :rule skolemize :premises (@p102)) % 0.35/0.59 (step-pop @p103 :rule scope :premises (@p73)) % 0.35/0.59 (step @p74 :rule process_scope :premises (@p103) :args (@t64)) % 0.35/0.59 (step @p76 :rule implies_elim :premises (@p74)) % 0.35/0.59 (step @p77 :rule eq_resolve :premises (@p76 @p71)) % 0.35/0.59 (step @p78 :rule chain_m_resolution :premises (@p77 @p68) :args (@t64 @t31 (@list @t35))) % 0.35/0.59 (step @p79 :rule cnf_or_neg :args (@t63 1)) % 0.35/0.59 (step @p80 :rule chain_m_resolution :premises (@p79 @p78) :args ((not @t60) @t31 @t65)) % 0.35/0.59 (step @p81 :rule cnf_equiv_pos2 :args (@t67)) % 0.35/0.59 (step @p82 :rule reordering :premises (@p81) :args ((or @t60 @t68 (not @t67)))) % 0.35/0.59 (step @p83 :rule chain_m_resolution :premises (@p82 @p80 @p21) :args (@t68 @t43 (@list @t60 @t67))) % 0.35/0.59 (step @p84 :rule bool-double-not-elim :args (@t61)) % 0.35/0.59 (step @p85 :rule refl :args (@t63)) % 0.35/0.59 (step @p86 :rule nary_cong :premises (@p85 @p84) :args ((or @t63 (not @t62)))) % 0.35/0.59 (step @p87 :rule cnf_or_neg :args (@t63 0)) % 0.35/0.59 (step @p88 :rule eq_resolve :premises (@p87 @p86)) % 0.35/0.59 (step @p89 :rule reordering :premises (@p88) :args ((or @t61 @t63))) % 0.35/0.59 (step @p90 :rule chain_m_resolution :premises (@p89 @p78) :args (@t61 @t31 @t65)) % 0.35/0.59 (step @p91 :rule cnf_equiv_pos1 :args (@t69)) % 0.35/0.59 (step @p92 :rule reordering :premises (@p91) :args ((or @t62 @t66 @t70))) % 0.35/0.59 (step @p93 :rule chain_m_resolution :premises (@p92 @p90 @p83) :args (@t70 @t57 (@list @t61 @t66))) % 0.35/0.59 (assume-push @p104 @t8) % 0.35/0.59 (step @p95 :rule instantiate :premises (@p1) :args ((@list @t24 @t23 @t36))) % 0.35/0.59 (step-pop @p105 :rule scope :premises (@p95)) % 0.35/0.59 (step @p96 :rule process_scope :premises (@p105) :args (@t69)) % 0.35/0.59 (step @p98 :rule implies_elim :premises (@p96)) % 0.35/0.59 (step @p99 false :rule chain_m_resolution :premises (@p98 @p93 @p1) :args (false @t43 (@list @t69 @t8))) % 0.35/0.59 ) % 0.35/0.59 % SZS output end Proof % 0.35/0.60 % cvc5 exiting %------------------------------------------------------------------------------