%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET616^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.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 08:48:15 AM UTC 2026 % Result : Theorem 0.31s 0.56s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET616^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.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 16:05:02 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.50 %----Proving TH0 % 0.31/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.31/0.56 % SZS status Theorem % 0.31/0.56 % SZS output start Proof % 0.31/0.56 ( % 0.31/0.56 (declare-sort tptp.a 0) % 0.31/0.56 (define @t1 () (@var "Y" (-> tptp.a Bool))) % 0.31/0.56 (define @t2 () (@var "X" (-> tptp.a Bool))) % 0.31/0.56 (define @t3 () (= @t2 @t1)) % 0.31/0.56 (define @t4 () (@var "Xx" tptp.a)) % 0.31/0.56 (define @t5 () (_ @t2 @t4)) % 0.31/0.56 (define @t6 () (not @t5)) % 0.31/0.56 (define @t7 () (_ @t1 @t4)) % 0.31/0.56 (define @t8 () (and @t7 @t6)) % 0.31/0.56 (define @t9 () (@list @t4)) % 0.31/0.56 (define @t10 () (lambda @t9 @t8)) % 0.31/0.56 (define @t11 () (not @t7)) % 0.31/0.56 (define @t12 () (and @t5 @t11)) % 0.31/0.56 (define @t13 () (lambda @t9 @t12)) % 0.31/0.56 (define @t14 () (= @t13 @t10)) % 0.31/0.56 (define @t15 () (@list @t2 @t1)) % 0.31/0.56 (define @t16 () (forall @t15 (=> @t14 @t3))) % 0.31/0.56 (define @t17 () (not @t16)) % 0.31/0.56 (define @t18 () (_ @t2 @t4)) % 0.31/0.56 (define @t19 () (_ @t1 @t4)) % 0.31/0.56 (define @t20 () (not @t14)) % 0.31/0.56 (define @t21 () (or @t20 @t3)) % 0.31/0.56 (define @t22 () (forall @t15 (or (not (= (lambda @t9 (and @t18 (not @t19))) (lambda @t9 (and @t19 (not @t18))))) @t3))) % 0.31/0.56 (define @t23 () (@quantifiers_skolemize @t22 1)) % 0.31/0.56 (define @t24 () (@quantifiers_skolemize @t22 0)) % 0.31/0.56 (define @t25 () (= @t24 @t23)) % 0.31/0.56 (define @t26 () (_ @t23 @t4)) % 0.31/0.56 (define @t27 () (_ @t24 @t4)) % 0.31/0.56 (define @t28 () (and @t27 (not @t26))) % 0.31/0.56 (define @t29 () (lambda @t9 @t28)) % 0.31/0.56 (define @t30 () (@purify @t29)) % 0.31/0.56 (define @t31 () (and @t26 (not @t27))) % 0.31/0.56 (define @t32 () (lambda @t9 @t31)) % 0.31/0.56 (define @t33 () (@purify @t32)) % 0.31/0.56 (define @t34 () (= @t33 @t30)) % 0.31/0.56 (define @t35 () (not @t34)) % 0.31/0.56 (define @t36 () (or @t35 @t25)) % 0.31/0.56 (define @t37 () (not @t36)) % 0.31/0.56 (define @t38 () (not @t22)) % 0.31/0.56 (define @t39 () (= @t29 @t32)) % 0.31/0.56 (define @t40 () (not @t39)) % 0.31/0.56 (define @t41 () (or @t40 @t25)) % 0.31/0.56 (define @t42 () (not @t41)) % 0.31/0.56 (define @t43 () (@list true)) % 0.31/0.56 (define @t44 () (@list @t36)) % 0.31/0.56 (define @t45 () (forall @t9 (= @t31 @t28))) % 0.31/0.56 (define @t46 () (=> @t34 @t45)) % 0.31/0.56 (define @t47 () (@const 0 tptp.a)) % 0.31/0.56 (define @t48 () (_ @t23 @t47)) % 0.31/0.56 (define @t49 () (_ @t24 @t47)) % 0.31/0.56 (define @t50 () (= @t49 @t48)) % 0.31/0.56 (define @t51 () (not @t50)) % 0.31/0.56 (define @t52 () (not @t49)) % 0.31/0.56 (define @t53 () (and @t48 @t52)) % 0.31/0.56 (define @t54 () (not @t53)) % 0.31/0.56 (define @t55 () (not @t48)) % 0.31/0.56 (define @t56 () (and @t49 @t55)) % 0.31/0.56 (define @t57 () (= @t56 @t53)) % 0.31/0.56 (define @t58 () (not @t57)) % 0.31/0.56 (define @t59 () (not @t56)) % 0.31/0.56 (assume @p1 @t17) % 0.31/0.56 (assume @p2 true) % 0.31/0.56 (step @p3 :rule refl :args (@t3)) % 0.31/0.56 (step @p4 :rule refl :args (@t18)) % 0.31/0.56 (step @p5 :rule refl :args (@t5)) % 0.31/0.56 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t5 @t18))) % 0.31/0.56 (step @p7 :rule symm :premises (@p6)) % 0.31/0.56 (step @p8 :rule eq_resolve :premises (@p5 @p7)) % 0.31/0.56 (step @p9 :rule cong :premises (@p8) :args (@t6)) % 0.31/0.56 (step @p10 :rule refl :args (@t19)) % 0.31/0.56 (step @p11 :rule refl :args (@t7)) % 0.31/0.56 (step @p12 :rule cong :premises (@p11 @p10) :args ((= @t7 @t19))) % 0.31/0.56 (step @p13 :rule symm :premises (@p12)) % 0.31/0.56 (step @p14 :rule eq_resolve :premises (@p11 @p13)) % 0.31/0.56 (step @p15 :rule nary_cong :premises (@p14 @p9) :args (@t8)) % 0.31/0.56 (step @p16 :rule cong :premises (@p15) :args (@t10)) % 0.31/0.56 (step @p17 :rule cong :premises (@p14) :args (@t11)) % 0.31/0.56 (step @p18 :rule nary_cong :premises (@p8 @p17) :args (@t12)) % 0.31/0.56 (step @p19 :rule cong :premises (@p18) :args (@t13)) % 0.31/0.56 (step @p20 :rule cong :premises (@p19 @p16) :args (@t14)) % 0.31/0.56 (step @p21 :rule cong :premises (@p20) :args (@t20)) % 0.31/0.56 (step @p22 :rule nary_cong :premises (@p21 @p3) :args (@t21)) % 0.31/0.56 (step @p23 :rule cong :premises (@p22) :args ((forall @t15 @t21))) % 0.31/0.56 (step @p24 :rule bool-impl-elim :args (@t14 @t3)) % 0.31/0.56 (step @p25 :rule cong :premises (@p24) :args (@t16)) % 0.31/0.56 (step @p26 :rule trans :premises (@p25 @p23)) % 0.31/0.56 (step @p27 :rule cong :premises (@p26) :args (@t17)) % 0.31/0.56 (step @p28 :rule eq_resolve :premises (@p1 @p27)) % 0.31/0.56 (step @p29 :rule refl :args (@t37)) % 0.31/0.56 (step @p30 :rule bool-double-not-elim :args (@t22)) % 0.31/0.56 (step @p31 :rule nary_cong :premises (@p30 @p29) :args ((or (not @t38) @t37))) % 0.31/0.56 (step @p32 :rule refl :args (@t25)) % 0.31/0.56 (step @p33 :rule eq-symm :args (@t30 @t33)) % 0.31/0.56 (step @p34 :rule eq-refl :args (@t32)) % 0.31/0.56 (step @p35 :rule skolem_intro :args (@t33)) % 0.31/0.56 (step @p36 :rule refl :args (@t32)) % 0.31/0.56 (step @p37 :rule cong :premises (@p36 @p35) :args ((= @t32 @t33))) % 0.31/0.56 (step @p38 :rule trans :premises (@p37 @p34)) % 0.31/0.56 (step @p39 :rule true_elim :premises (@p38)) % 0.31/0.56 (step @p40 :rule eq-refl :args (@t29)) % 0.31/0.56 (step @p41 :rule skolem_intro :args (@t30)) % 0.31/0.56 (step @p42 :rule refl :args (@t29)) % 0.31/0.56 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t29 @t30))) % 0.31/0.56 (step @p44 :rule trans :premises (@p43 @p40)) % 0.31/0.56 (step @p45 :rule true_elim :premises (@p44)) % 0.31/0.56 (step @p46 :rule cong :premises (@p45 @p39) :args (@t39)) % 0.31/0.56 (step @p47 :rule trans :premises (@p46 @p33)) % 0.31/0.56 (step @p48 :rule cong :premises (@p47) :args (@t40)) % 0.31/0.56 (step @p49 :rule nary_cong :premises (@p48 @p32) :args (@t41)) % 0.31/0.56 (step @p50 :rule cong :premises (@p49) :args (@t42)) % 0.31/0.56 (step @p51 :rule refl :args (@t38)) % 0.31/0.56 (step @p52 :rule cong :premises (@p51 @p50) :args ((=> @t38 @t42))) % 0.31/0.56 (assume-push @p111 @t38) % 0.31/0.56 (step @p54 :rule skolemize :premises (@p28)) % 0.31/0.56 (step-pop @p112 :rule scope :premises (@p54)) % 0.31/0.56 (step @p55 :rule process_scope :premises (@p112) :args (@t42)) % 0.31/0.56 (step @p57 :rule eq_resolve :premises (@p55 @p52)) % 0.31/0.56 (step @p58 :rule implies_elim :premises (@p57)) % 0.31/0.56 (step @p59 :rule eq_resolve :premises (@p58 @p31)) % 0.31/0.56 (step @p60 :rule chain_m_resolution :premises (@p59 @p28) :args (@t37 @t43 (@list @t22))) % 0.31/0.56 (step @p61 :rule bool-double-not-elim :args (@t34)) % 0.31/0.56 (step @p62 :rule refl :args (@t36)) % 0.31/0.56 (step @p63 :rule nary_cong :premises (@p62 @p61) :args ((or @t36 (not @t35)))) % 0.31/0.56 (step @p64 :rule cnf_or_neg :args (@t36 0)) % 0.31/0.56 (step @p65 :rule eq_resolve :premises (@p64 @p63)) % 0.31/0.56 (step @p66 :rule reordering :premises (@p65) :args ((or @t34 @t36))) % 0.31/0.56 (step @p67 :rule chain_m_resolution :premises (@p66 @p60) :args (@t34 @t43 @t44)) % 0.31/0.56 (step @p68 :rule eq-symm :args (@t31 @t28)) % 0.31/0.56 (step @p69 :rule cong :premises (@p68) :args (@t45)) % 0.31/0.56 (step @p70 :rule refl :args (@t34)) % 0.31/0.56 (step @p71 :rule cong :premises (@p70 @p69) :args (@t46)) % 0.31/0.56 ; WARNING: add trust step for TRUST % 0.31/0.56 ; trust TRUST THEORY_LEMMA % 0.31/0.56 (step @p72 :rule trust :premises () :args (@t46)) % 0.31/0.56 (step @p73 :rule eq_resolve :premises (@p72 @p71)) % 0.31/0.56 (step @p74 :rule implies_elim :premises (@p73)) % 0.31/0.56 (step @p75 :rule chain_m_resolution :premises (@p74 @p67) :args ((forall @t9 (= @t28 @t31)) (@list false) (@list @t34))) % 0.31/0.56 (step @p76 :rule instantiate :premises (@p75) :args ((@list @t47))) % 0.31/0.56 (step @p77 :rule cnf_or_neg :args (@t36 1)) % 0.31/0.56 (step @p78 :rule chain_m_resolution :premises (@p77 @p60) :args ((not @t25) @t43 @t44)) % 0.31/0.56 ; trust TRUST THEORY_LEMMA % 0.31/0.56 (step @p79 :rule trust :premises () :args ((or @t25 @t51))) % 0.31/0.56 (step @p80 :rule chain_m_resolution :premises (@p79 @p78) :args (@t51 @t43 (@list @t25))) % 0.31/0.56 (step @p81 :rule cnf_equiv_neg2 :args (@t50)) % 0.31/0.56 (step @p82 :rule cnf_and_pos :args (@t53 1)) % 0.31/0.56 (step @p83 :rule reordering :premises (@p82) :args ((or @t52 @t54))) % 0.31/0.56 (step @p84 :rule bool-double-not-elim :args (@t48)) % 0.31/0.56 (step @p85 :rule refl :args (@t52)) % 0.31/0.56 (step @p86 :rule refl :args (@t56)) % 0.31/0.56 (step @p87 :rule nary_cong :premises (@p86 @p85 @p84) :args ((or @t56 @t52 (not @t55)))) % 0.31/0.56 (step @p88 :rule cnf_and_neg :args (@t56)) % 0.31/0.56 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.31/0.56 (step @p90 :rule reordering :premises (@p89) :args ((or @t48 @t52 @t56))) % 0.31/0.56 (step @p91 :rule cnf_equiv_pos1 :args (@t57)) % 0.31/0.56 (step @p92 :rule reordering :premises (@p91) :args ((or @t53 @t59 @t58))) % 0.31/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p76 @p90 @p83 @p81 @p80) :args (@t52 (@list false false true true true) (@list @t57 @t56 @t53 @t48 @t50))) % 0.31/0.56 (step @p94 :rule cnf_and_pos :args (@t56 0)) % 0.31/0.56 (step @p95 :rule reordering :premises (@p94) :args ((or @t49 @t59))) % 0.31/0.56 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t59 @t43 (@list @t49))) % 0.31/0.56 (step @p97 :rule cnf_equiv_neg1 :args (@t50)) % 0.31/0.56 (step @p98 :rule reordering :premises (@p97) :args ((or @t49 @t48 @t50))) % 0.31/0.56 (step @p99 :rule chain_m_resolution :premises (@p98 @p93 @p80) :args (@t48 (@list true true) (@list @t49 @t50))) % 0.31/0.56 (step @p100 :rule bool-double-not-elim :args (@t49)) % 0.31/0.56 (step @p101 :rule refl :args (@t55)) % 0.31/0.56 (step @p102 :rule refl :args (@t53)) % 0.31/0.56 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args ((or @t53 @t55 (not @t52)))) % 0.31/0.56 (step @p104 :rule cnf_and_neg :args (@t53)) % 0.31/0.56 (step @p105 :rule eq_resolve :premises (@p104 @p103)) % 0.31/0.56 (step @p106 :rule reordering :premises (@p105) :args ((or @t49 @t55 @t53))) % 0.31/0.56 (step @p107 :rule chain_m_resolution :premises (@p106 @p93 @p99) :args (@t53 (@list true false) (@list @t49 @t48))) % 0.31/0.56 (step @p108 :rule cnf_equiv_pos2 :args (@t57)) % 0.31/0.56 (step @p109 :rule reordering :premises (@p108) :args ((or @t56 @t54 @t58))) % 0.31/0.56 (step @p110 false :rule chain_m_resolution :premises (@p109 @p107 @p96 @p76) :args (false (@list false true false) (@list @t53 @t56 @t57))) % 0.31/0.56 ) % 0.31/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------