%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET183^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:47:35 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 : SET183^5 : TPTP v9.2.1. Released v4.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n015.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 15:08:19 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.49 %----Proving TH0 % 0.30/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.30/0.55 % SZS status Theorem % 0.30/0.55 % SZS output start Proof % 0.30/0.55 ( % 0.30/0.55 (declare-sort tptp.a 0) % 0.30/0.55 (define @t1 () (@var "X" (-> tptp.a Bool))) % 0.30/0.55 (define @t2 () (@var "Xx" tptp.a)) % 0.30/0.55 (define @t3 () (@var "Y" (-> tptp.a Bool))) % 0.30/0.55 (define @t4 () (_ @t3 @t2)) % 0.30/0.55 (define @t5 () (_ @t1 @t2)) % 0.30/0.55 (define @t6 () (and @t5 @t4)) % 0.30/0.55 (define @t7 () (@list @t2)) % 0.30/0.55 (define @t8 () (lambda @t7 @t6)) % 0.30/0.55 (define @t9 () (forall @t7 (=> @t5 @t4))) % 0.30/0.55 (define @t10 () (=> @t9 (= @t8 @t1))) % 0.30/0.55 (define @t11 () (@list @t1 @t3)) % 0.30/0.55 (define @t12 () (forall @t11 @t10)) % 0.30/0.55 (define @t13 () (not @t12)) % 0.30/0.55 (define @t14 () (_ @t3 @t2)) % 0.30/0.55 (define @t15 () (_ @t1 @t2)) % 0.30/0.55 (define @t16 () (= @t1 @t8)) % 0.30/0.55 (define @t17 () (forall @t7 (or (not @t15) @t14))) % 0.30/0.55 (define @t18 () (not @t17)) % 0.30/0.55 (define @t19 () (or @t18 @t16)) % 0.30/0.55 (define @t20 () (not @t5)) % 0.30/0.55 (define @t21 () (or @t20 @t4)) % 0.30/0.55 (define @t22 () (forall @t11 (or @t18 (= @t1 (lambda @t7 (and @t15 @t14)))))) % 0.30/0.55 (define @t23 () (@quantifiers_skolemize @t22 1)) % 0.30/0.55 (define @t24 () (_ @t23 @t2)) % 0.30/0.55 (define @t25 () (@quantifiers_skolemize @t22 0)) % 0.30/0.55 (define @t26 () (_ @t25 @t2)) % 0.30/0.55 (define @t27 () (lambda @t7 (and @t26 @t24))) % 0.30/0.55 (define @t28 () (@purify @t27)) % 0.30/0.55 (define @t29 () (= @t25 @t28)) % 0.30/0.55 (define @t30 () (forall @t7 (or (not @t26) @t24))) % 0.30/0.55 (define @t31 () (not @t30)) % 0.30/0.55 (define @t32 () (or @t31 @t29)) % 0.30/0.55 (define @t33 () (not @t32)) % 0.30/0.55 (define @t34 () (not @t22)) % 0.30/0.55 (define @t35 () (= @t25 @t27)) % 0.30/0.55 (define @t36 () (or @t31 @t35)) % 0.30/0.55 (define @t37 () (not @t36)) % 0.30/0.55 (define @t38 () (@list true)) % 0.30/0.55 (define @t39 () (@list @t32)) % 0.30/0.55 (define @t40 () (@const 0 tptp.a)) % 0.30/0.55 (define @t41 () (_ @t23 @t40)) % 0.30/0.55 (define @t42 () (_ @t25 @t40)) % 0.30/0.55 (define @t43 () (and @t42 @t41)) % 0.30/0.55 (define @t44 () (= (_ @t27 @t40) @t43)) % 0.30/0.55 (define @t45 () (_ @t28 @t40)) % 0.30/0.55 (define @t46 () (= @t42 @t45)) % 0.30/0.55 (define @t47 () (not @t46)) % 0.30/0.55 (define @t48 () (or @t29 @t47)) % 0.30/0.55 (define @t49 () (= @t42 @t43)) % 0.30/0.55 (define @t50 () (not @t42)) % 0.30/0.55 (define @t51 () (or @t50 @t41)) % 0.30/0.55 (define @t52 () (not @t43)) % 0.30/0.55 (assume @p1 @t13) % 0.30/0.55 (assume @p2 true) % 0.30/0.55 (step @p3 :rule refl :args (@t14)) % 0.30/0.55 (step @p4 :rule refl :args (@t4)) % 0.30/0.55 (step @p5 :rule cong :premises (@p4 @p3) :args ((= @t4 @t14))) % 0.30/0.55 (step @p6 :rule symm :premises (@p5)) % 0.30/0.55 (step @p7 :rule eq_resolve :premises (@p4 @p6)) % 0.30/0.55 (step @p8 :rule refl :args (@t15)) % 0.30/0.55 (step @p9 :rule refl :args (@t5)) % 0.30/0.55 (step @p10 :rule cong :premises (@p9 @p8) :args ((= @t5 @t15))) % 0.30/0.55 (step @p11 :rule symm :premises (@p10)) % 0.30/0.55 (step @p12 :rule eq_resolve :premises (@p9 @p11)) % 0.30/0.55 (step @p13 :rule nary_cong :premises (@p12 @p7) :args (@t6)) % 0.30/0.55 (step @p14 :rule cong :premises (@p13) :args (@t8)) % 0.30/0.55 (step @p15 :rule refl :args (@t1)) % 0.30/0.55 (step @p16 :rule cong :premises (@p15 @p14) :args (@t16)) % 0.30/0.55 (step @p17 :rule refl :args (@t18)) % 0.30/0.55 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t19)) % 0.30/0.55 (step @p19 :rule cong :premises (@p18) :args ((forall @t11 @t19))) % 0.30/0.55 (step @p20 :rule bool-impl-elim :args (@t17 @t16)) % 0.30/0.55 (step @p21 :rule cong :premises (@p20) :args ((forall @t11 (=> @t17 @t16)))) % 0.30/0.55 (step @p22 :rule trans :premises (@p21 @p19)) % 0.30/0.55 (step @p23 :rule eq-symm :args (@t8 @t1)) % 0.30/0.55 (step @p24 :rule cong :premises (@p12) :args (@t20)) % 0.30/0.55 (step @p25 :rule nary_cong :premises (@p24 @p7) :args (@t21)) % 0.30/0.55 (step @p26 :rule cong :premises (@p25) :args ((forall @t7 @t21))) % 0.30/0.55 (step @p27 :rule bool-impl-elim :args (@t5 @t4)) % 0.30/0.55 (step @p28 :rule cong :premises (@p27) :args (@t9)) % 0.30/0.55 (step @p29 :rule trans :premises (@p28 @p26)) % 0.30/0.55 (step @p30 :rule cong :premises (@p29 @p23) :args (@t10)) % 0.30/0.55 (step @p31 :rule cong :premises (@p30) :args (@t12)) % 0.30/0.55 (step @p32 :rule trans :premises (@p31 @p22)) % 0.30/0.55 (step @p33 :rule cong :premises (@p32) :args (@t13)) % 0.30/0.55 (step @p34 :rule eq_resolve :premises (@p1 @p33)) % 0.30/0.55 (step @p35 :rule refl :args (@t33)) % 0.30/0.55 (step @p36 :rule bool-double-not-elim :args (@t22)) % 0.30/0.55 (step @p37 :rule nary_cong :premises (@p36 @p35) :args ((or (not @t34) @t33))) % 0.30/0.55 (step @p38 :rule eq-refl :args (@t27)) % 0.30/0.55 (step @p39 :rule skolem_intro :args (@t28)) % 0.30/0.55 (step @p40 :rule refl :args (@t27)) % 0.30/0.55 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t27 @t28))) % 0.30/0.55 (step @p42 :rule trans :premises (@p41 @p38)) % 0.30/0.55 (step @p43 :rule true_elim :premises (@p42)) % 0.30/0.55 (step @p44 :rule refl :args (@t25)) % 0.30/0.55 (step @p45 :rule cong :premises (@p44 @p43) :args (@t35)) % 0.30/0.55 (step @p46 :rule refl :args (@t31)) % 0.30/0.55 (step @p47 :rule nary_cong :premises (@p46 @p45) :args (@t36)) % 0.30/0.55 (step @p48 :rule cong :premises (@p47) :args (@t37)) % 0.30/0.55 (step @p49 :rule refl :args (@t34)) % 0.30/0.55 (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t34 @t37))) % 0.30/0.55 (assume-push @p98 @t34) % 0.30/0.55 (step @p52 :rule skolemize :premises (@p34)) % 0.30/0.55 (step-pop @p99 :rule scope :premises (@p52)) % 0.30/0.55 (step @p53 :rule process_scope :premises (@p99) :args (@t37)) % 0.30/0.55 (step @p55 :rule eq_resolve :premises (@p53 @p50)) % 0.30/0.55 (step @p56 :rule implies_elim :premises (@p55)) % 0.30/0.55 (step @p57 :rule eq_resolve :premises (@p56 @p37)) % 0.30/0.55 (step @p58 :rule chain_m_resolution :premises (@p57 @p34) :args (@t33 @t38 (@list @t22))) % 0.30/0.55 (step @p59 :rule cnf_or_neg :args (@t32 1)) % 0.30/0.55 (step @p60 :rule chain_m_resolution :premises (@p59 @p58) :args ((not @t29) @t38 @t39)) % 0.30/0.55 (step @p61 :rule eq-refl :args (@t43)) % 0.30/0.55 (step @p62 :rule refl :args (@t43)) % 0.30/0.55 (step @p63 :rule beta-reduce :args (@t44)) % 0.30/0.55 (step @p64 :rule cong :premises (@p63 @p62) :args (@t44)) % 0.30/0.55 (step @p65 :rule trans :premises (@p64 @p61)) % 0.30/0.55 (step @p66 :rule refl :args (@t40)) % 0.30/0.55 (step @p67 :rule ho_cong :premises (@p39 @p66)) % 0.30/0.55 (step @p68 :rule cong :premises (@p67 @p62) :args ((= @t45 @t43))) % 0.30/0.55 (step @p69 :rule trans :premises (@p68 @p65)) % 0.30/0.55 (step @p70 :rule true_elim :premises (@p69)) % 0.30/0.55 (step @p71 :rule refl :args (@t42)) % 0.30/0.55 (step @p72 :rule cong :premises (@p71 @p70) :args (@t46)) % 0.30/0.55 (step @p73 :rule cong :premises (@p72) :args (@t47)) % 0.30/0.55 (step @p74 :rule refl :args (@t29)) % 0.30/0.55 (step @p75 :rule nary_cong :premises (@p74 @p73) :args (@t48)) % 0.30/0.55 ; WARNING: add trust step for TRUST % 0.30/0.55 ; trust TRUST THEORY_LEMMA % 0.30/0.55 (step @p76 :rule trust :premises () :args (@t48)) % 0.30/0.55 (step @p77 :rule eq_resolve :premises (@p76 @p75)) % 0.30/0.55 (step @p78 :rule chain_m_resolution :premises (@p77 @p60) :args ((not @t49) @t38 (@list @t29))) % 0.30/0.55 (step @p79 :rule cnf_equiv_neg2 :args (@t49)) % 0.30/0.55 (step @p80 :rule bool-double-not-elim :args (@t30)) % 0.30/0.55 (step @p81 :rule refl :args (@t32)) % 0.30/0.55 (step @p82 :rule nary_cong :premises (@p81 @p80) :args ((or @t32 (not @t31)))) % 0.30/0.55 (step @p83 :rule cnf_or_neg :args (@t32 0)) % 0.30/0.55 (step @p84 :rule eq_resolve :premises (@p83 @p82)) % 0.30/0.55 (step @p85 :rule reordering :premises (@p84) :args ((or @t30 @t32))) % 0.30/0.55 (step @p86 :rule chain_m_resolution :premises (@p85 @p58) :args (@t30 @t38 @t39)) % 0.30/0.55 (step @p87 :rule instantiate :premises (@p86) :args ((@list @t40))) % 0.30/0.55 (step @p88 :rule cnf_or_pos :args (@t51)) % 0.30/0.55 (step @p89 :rule reordering :premises (@p88) :args ((or @t41 @t50 (not @t51)))) % 0.30/0.55 (step @p90 :rule cnf_and_neg :args (@t43)) % 0.30/0.55 (step @p91 :rule chain_m_resolution :premises (@p90 @p89 @p87 @p79 @p78) :args (@t50 (@list false false true true) (@list @t41 @t51 @t43 @t49))) % 0.30/0.55 (step @p92 :rule cnf_and_pos :args (@t43 0)) % 0.30/0.55 (step @p93 :rule reordering :premises (@p92) :args ((or @t42 @t52))) % 0.30/0.55 (step @p94 :rule chain_m_resolution :premises (@p93 @p91) :args (@t52 @t38 (@list @t42))) % 0.30/0.55 (step @p95 :rule cnf_equiv_neg1 :args (@t49)) % 0.30/0.55 (step @p96 :rule reordering :premises (@p95) :args ((or @t42 @t43 @t49))) % 0.30/0.55 (step @p97 false :rule chain_m_resolution :premises (@p96 @p94 @p91 @p78) :args (false (@list true true true) (@list @t43 @t42 @t49))) % 0.30/0.55 ) % 0.30/0.55 % SZS output end Proof % 0.30/0.55 % cvc5 exiting %------------------------------------------------------------------------------