%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET605^5 : 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 : n011.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 08:48:11 AM UTC 2026 % Result : Theorem 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET605^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n011.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 16:04:20 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TH0 % 0.36/0.56 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.36/0.56 % SZS status Theorem % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort tptp.a 0) % 0.36/0.56 (define @t1 () (@var "Xx" tptp.a)) % 0.36/0.56 (define @t2 () (@list @t1)) % 0.36/0.56 (define @t3 () (lambda @t2 false)) % 0.36/0.56 (define @t4 () (@var "Y" (-> tptp.a Bool))) % 0.36/0.56 (define @t5 () (_ @t4 @t1)) % 0.36/0.56 (define @t6 () (@var "X" (-> tptp.a Bool))) % 0.36/0.56 (define @t7 () (_ @t6 @t1)) % 0.36/0.56 (define @t8 () (or @t7 @t5)) % 0.36/0.56 (define @t9 () (not @t8)) % 0.36/0.56 (define @t10 () (and @t7 @t9)) % 0.36/0.56 (define @t11 () (lambda @t2 @t10)) % 0.36/0.56 (define @t12 () (= @t11 @t3)) % 0.36/0.56 (define @t13 () (@list @t6 @t4)) % 0.36/0.56 (define @t14 () (forall @t13 @t12)) % 0.36/0.56 (define @t15 () (not @t14)) % 0.36/0.56 (define @t16 () (_ @t4 @t1)) % 0.36/0.56 (define @t17 () (_ @t6 @t1)) % 0.36/0.56 (define @t18 () (lambda @t2 (and @t17 (not (or @t17 @t16))))) % 0.36/0.56 (define @t19 () (@var "BOUND_VARIABLE_7474" tptp.a)) % 0.36/0.56 (define @t20 () (lambda (@list @t19) false)) % 0.36/0.56 (define @t21 () (= @t11 @t20)) % 0.36/0.56 (define @t22 () (@purify @t20)) % 0.36/0.56 (define @t23 () (forall @t13 (= @t20 @t18))) % 0.36/0.56 (define @t24 () (@quantifiers_skolemize @t23 1)) % 0.36/0.56 (define @t25 () (@quantifiers_skolemize @t23 0)) % 0.36/0.56 (define @t26 () (_ @t25 @t1)) % 0.36/0.56 (define @t27 () (lambda @t2 (and @t26 (not (or @t26 (_ @t24 @t1)))))) % 0.36/0.56 (define @t28 () (@purify @t27)) % 0.36/0.56 (define @t29 () (= @t28 @t22)) % 0.36/0.56 (define @t30 () (not @t29)) % 0.36/0.56 (define @t31 () (not @t23)) % 0.36/0.56 (define @t32 () (= @t20 @t27)) % 0.36/0.56 (define @t33 () (not @t32)) % 0.36/0.56 (define @t34 () (@list true)) % 0.36/0.56 (define @t35 () (@const 0 tptp.a)) % 0.36/0.56 (define @t36 () (_ @t25 @t35)) % 0.36/0.56 (define @t37 () (or @t36 (_ @t24 @t35))) % 0.36/0.56 (define @t38 () (not @t37)) % 0.36/0.56 (define @t39 () (and @t36 @t38)) % 0.36/0.56 (define @t40 () (_ @t20 @t35)) % 0.36/0.56 (define @t41 () (_ @t22 @t35)) % 0.36/0.56 (define @t42 () (= (_ @t27 @t35) @t39)) % 0.36/0.56 (define @t43 () (_ @t28 @t35)) % 0.36/0.56 (define @t44 () (= @t43 @t41)) % 0.36/0.56 (define @t45 () (not @t44)) % 0.36/0.56 (define @t46 () (or @t29 @t45)) % 0.36/0.56 (define @t47 () (not @t39)) % 0.36/0.56 (define @t48 () (@list false)) % 0.36/0.56 (define @t49 () (@list @t39)) % 0.36/0.56 (assume @p1 @t15) % 0.36/0.56 (assume @p2 true) % 0.36/0.56 (step @p3 :rule eq-symm :args (@t18 @t20)) % 0.36/0.56 (step @p4 :rule cong :premises (@p3) :args ((forall @t13 (= @t18 @t20)))) % 0.36/0.56 (step @p5 :rule refl :args (@t20)) % 0.36/0.56 (step @p6 :rule refl :args (@t16)) % 0.36/0.56 (step @p7 :rule refl :args (@t5)) % 0.36/0.56 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t5 @t16))) % 0.36/0.56 (step @p9 :rule symm :premises (@p8)) % 0.36/0.56 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.36/0.56 (step @p11 :rule refl :args (@t17)) % 0.36/0.56 (step @p12 :rule refl :args (@t7)) % 0.36/0.56 (step @p13 :rule cong :premises (@p12 @p11) :args ((= @t7 @t17))) % 0.36/0.56 (step @p14 :rule symm :premises (@p13)) % 0.36/0.56 (step @p15 :rule eq_resolve :premises (@p12 @p14)) % 0.36/0.56 (step @p16 :rule nary_cong :premises (@p15 @p10) :args (@t8)) % 0.36/0.56 (step @p17 :rule cong :premises (@p16) :args (@t9)) % 0.36/0.56 (step @p18 :rule nary_cong :premises (@p15 @p17) :args (@t10)) % 0.36/0.56 (step @p19 :rule cong :premises (@p18) :args (@t11)) % 0.36/0.56 (step @p20 :rule cong :premises (@p19 @p5) :args (@t21)) % 0.36/0.56 (step @p21 :rule cong :premises (@p20) :args ((forall @t13 @t21))) % 0.36/0.56 (step @p22 :rule trans :premises (@p21 @p4)) % 0.36/0.56 (step @p23 :rule refl :args (@t20)) % 0.36/0.56 (step @p24 :rule symm :premises (@p23)) % 0.36/0.56 (step @p25 :rule alpha_equiv :args (@t3 (@list @t1) (@list @t19))) % 0.36/0.56 (step @p26 :rule trans :premises (@p25 @p24)) % 0.36/0.56 (step @p27 :rule refl :args (@t11)) % 0.36/0.56 (step @p28 :rule cong :premises (@p27 @p26) :args (@t12)) % 0.36/0.56 (step @p29 :rule cong :premises (@p28) :args (@t14)) % 0.36/0.56 (step @p30 :rule trans :premises (@p29 @p22)) % 0.36/0.56 (step @p31 :rule cong :premises (@p30) :args (@t15)) % 0.36/0.56 (step @p32 :rule eq_resolve :premises (@p1 @p31)) % 0.36/0.56 (step @p33 :rule refl :args (@t30)) % 0.36/0.56 (step @p34 :rule bool-double-not-elim :args (@t23)) % 0.36/0.56 (step @p35 :rule nary_cong :premises (@p34 @p33) :args ((or (not @t31) @t30))) % 0.36/0.56 (step @p36 :rule eq-symm :args (@t22 @t28)) % 0.36/0.56 (step @p37 :rule eq-refl :args (@t27)) % 0.36/0.56 (step @p38 :rule skolem_intro :args (@t28)) % 0.36/0.56 (step @p39 :rule refl :args (@t27)) % 0.36/0.56 (step @p40 :rule cong :premises (@p39 @p38) :args ((= @t27 @t28))) % 0.36/0.56 (step @p41 :rule trans :premises (@p40 @p37)) % 0.36/0.56 (step @p42 :rule true_elim :premises (@p41)) % 0.36/0.56 (step @p43 :rule eq-refl :args (@t20)) % 0.36/0.56 (step @p44 :rule refl :args (@t20)) % 0.36/0.56 (step @p45 :rule cong :premises (@p44 @p24) :args ((= @t20 @t20))) % 0.36/0.56 (step @p46 :rule trans :premises (@p45 @p43)) % 0.36/0.56 (step @p47 :rule skolem_intro :args (@t22)) % 0.36/0.56 (step @p48 :rule cong :premises (@p44 @p47) :args ((= @t20 @t22))) % 0.36/0.56 (step @p49 :rule trans :premises (@p48 @p46)) % 0.36/0.56 (step @p50 :rule true_elim :premises (@p49)) % 0.36/0.56 (step @p51 :rule cong :premises (@p50 @p42) :args (@t32)) % 0.36/0.56 (step @p52 :rule trans :premises (@p51 @p36)) % 0.36/0.56 (step @p53 :rule cong :premises (@p52) :args (@t33)) % 0.36/0.56 (step @p54 :rule refl :args (@t31)) % 0.36/0.56 (step @p55 :rule cong :premises (@p54 @p53) :args ((=> @t31 @t33))) % 0.36/0.56 (assume-push @p102 @t31) % 0.36/0.56 (step @p57 :rule skolemize :premises (@p32)) % 0.36/0.56 (step-pop @p103 :rule scope :premises (@p57)) % 0.36/0.56 (step @p58 :rule process_scope :premises (@p103) :args (@t33)) % 0.36/0.56 (step @p60 :rule eq_resolve :premises (@p58 @p55)) % 0.36/0.56 (step @p61 :rule implies_elim :premises (@p60)) % 0.36/0.56 (step @p62 :rule eq_resolve :premises (@p61 @p35)) % 0.36/0.56 (step @p63 :rule chain_m_resolution :premises (@p62 @p32) :args (@t30 @t34 (@list @t23))) % 0.36/0.56 (step @p64 :rule bool-double-not-elim :args (@t39)) % 0.36/0.56 (step @p65 :rule bool-eq-false :args (@t39)) % 0.36/0.56 (step @p66 :rule evaluate :args ((not false))) % 0.36/0.56 (step @p67 :rule beta-reduce :args ((= @t40 false))) % 0.36/0.56 (step @p68 :rule cong :premises (@p67) :args ((not @t40))) % 0.36/0.56 (step @p69 :rule trans :premises (@p68 @p66)) % 0.36/0.56 (step @p70 :rule refl :args (@t35)) % 0.36/0.56 (step @p71 :rule ho_cong :premises (@p47 @p70)) % 0.36/0.56 (step @p72 :rule cong :premises (@p71) :args ((not @t41))) % 0.36/0.56 (step @p73 :rule bool-eq-false :args (@t41)) % 0.36/0.56 (step @p74 :rule trans :premises (@p73 @p72 @p69)) % 0.36/0.56 (step @p75 :rule true_elim :premises (@p74)) % 0.36/0.56 (step @p76 :rule eq-refl :args (@t39)) % 0.36/0.56 (step @p77 :rule refl :args (@t39)) % 0.36/0.56 (step @p78 :rule beta-reduce :args (@t42)) % 0.36/0.56 (step @p79 :rule cong :premises (@p78 @p77) :args (@t42)) % 0.36/0.56 (step @p80 :rule trans :premises (@p79 @p76)) % 0.36/0.56 (step @p81 :rule ho_cong :premises (@p38 @p70)) % 0.36/0.56 (step @p82 :rule cong :premises (@p81 @p77) :args ((= @t43 @t39))) % 0.36/0.56 (step @p83 :rule trans :premises (@p82 @p80)) % 0.36/0.56 (step @p84 :rule true_elim :premises (@p83)) % 0.36/0.56 (step @p85 :rule cong :premises (@p84 @p75) :args (@t44)) % 0.36/0.56 (step @p86 :rule trans :premises (@p85 @p65)) % 0.36/0.56 (step @p87 :rule cong :premises (@p86) :args (@t45)) % 0.36/0.56 (step @p88 :rule trans :premises (@p87 @p64)) % 0.36/0.56 (step @p89 :rule refl :args (@t29)) % 0.36/0.56 (step @p90 :rule nary_cong :premises (@p89 @p88) :args (@t46)) % 0.36/0.56 ; WARNING: add trust step for TRUST % 0.36/0.56 ; trust TRUST THEORY_LEMMA % 0.36/0.56 (step @p91 :rule trust :premises () :args (@t46)) % 0.36/0.56 (step @p92 :rule eq_resolve :premises (@p91 @p90)) % 0.36/0.56 (step @p93 :rule chain_m_resolution :premises (@p92 @p63) :args (@t39 @t34 (@list @t29))) % 0.36/0.56 (step @p94 :rule cnf_and_pos :args (@t39 0)) % 0.36/0.56 (step @p95 :rule reordering :premises (@p94) :args ((or @t36 @t47))) % 0.36/0.56 (step @p96 :rule chain_m_resolution :premises (@p95 @p93) :args (@t36 @t48 @t49)) % 0.36/0.56 (step @p97 :rule cnf_and_pos :args (@t39 1)) % 0.36/0.56 (step @p98 :rule reordering :premises (@p97) :args ((or @t38 @t47))) % 0.36/0.56 (step @p99 :rule chain_m_resolution :premises (@p98 @p93) :args (@t38 @t48 @t49)) % 0.36/0.56 (step @p100 :rule cnf_or_neg :args (@t37 0)) % 0.36/0.56 (step @p101 false :rule chain_m_resolution :premises (@p100 @p99 @p96) :args (false (@list true false) (@list @t37 @t36))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------