%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET008^5 : 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 : n003.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 08:46:53 AM UTC 2026 % Result : Theorem 0.29s 0.55s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET008^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n003.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Tue Jun 2 14:39:59 EDT 2026 % 0.14/0.33 % CPUTime : % 0.29/0.49 %----Proving TH0 % 0.29/0.55 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.29/0.55 % SZS status Theorem % 0.29/0.55 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort tptp.a 0) % 0.29/0.55 (define @t1 () (@var "Xx" tptp.a)) % 0.29/0.55 (define @t2 () (@list @t1)) % 0.29/0.55 (define @t3 () (lambda @t2 false)) % 0.29/0.55 (define @t4 () (@var "Y" (-> tptp.a Bool))) % 0.29/0.55 (define @t5 () (_ @t4 @t1)) % 0.29/0.55 (define @t6 () (not @t5)) % 0.29/0.55 (define @t7 () (@var "X" (-> tptp.a Bool))) % 0.29/0.55 (define @t8 () (_ @t7 @t1)) % 0.29/0.55 (define @t9 () (and @t8 @t6 @t5)) % 0.29/0.55 (define @t10 () (lambda @t2 @t9)) % 0.29/0.55 (define @t11 () (= @t10 @t3)) % 0.29/0.55 (define @t12 () (@list @t7 @t4)) % 0.29/0.55 (define @t13 () (forall @t12 @t11)) % 0.29/0.55 (define @t14 () (not @t13)) % 0.29/0.55 (define @t15 () (_ @t4 @t1)) % 0.29/0.55 (define @t16 () (_ @t7 @t1)) % 0.29/0.55 (define @t17 () (lambda @t2 (and @t16 (not @t15) @t15))) % 0.29/0.55 (define @t18 () (@var "BOUND_VARIABLE_7473" tptp.a)) % 0.29/0.55 (define @t19 () (lambda (@list @t18) false)) % 0.29/0.55 (define @t20 () (= @t10 @t19)) % 0.29/0.55 (define @t21 () (@purify @t19)) % 0.29/0.55 (define @t22 () (forall @t12 (= @t19 @t17))) % 0.29/0.55 (define @t23 () (@quantifiers_skolemize @t22 1)) % 0.29/0.55 (define @t24 () (_ @t23 @t1)) % 0.29/0.55 (define @t25 () (@quantifiers_skolemize @t22 0)) % 0.29/0.55 (define @t26 () (lambda @t2 (and (_ @t25 @t1) (not @t24) @t24))) % 0.29/0.55 (define @t27 () (@purify @t26)) % 0.29/0.55 (define @t28 () (= @t27 @t21)) % 0.29/0.55 (define @t29 () (not @t28)) % 0.29/0.55 (define @t30 () (not @t22)) % 0.29/0.55 (define @t31 () (= @t19 @t26)) % 0.29/0.55 (define @t32 () (not @t31)) % 0.29/0.55 (define @t33 () (@list true)) % 0.29/0.55 (define @t34 () (@const 0 tptp.a)) % 0.29/0.55 (define @t35 () (_ @t23 @t34)) % 0.29/0.55 (define @t36 () (not @t35)) % 0.29/0.55 (define @t37 () (and (_ @t25 @t34) @t36 @t35)) % 0.29/0.55 (define @t38 () (_ @t19 @t34)) % 0.29/0.55 (define @t39 () (_ @t21 @t34)) % 0.29/0.55 (define @t40 () (= (_ @t26 @t34) @t37)) % 0.29/0.55 (define @t41 () (_ @t27 @t34)) % 0.29/0.55 (define @t42 () (= @t41 @t39)) % 0.29/0.55 (define @t43 () (not @t42)) % 0.29/0.55 (define @t44 () (or @t28 @t43)) % 0.29/0.55 (define @t45 () (not @t37)) % 0.29/0.55 (assume @p1 @t14) % 0.29/0.55 (assume @p2 true) % 0.29/0.55 (step @p3 :rule eq-symm :args (@t17 @t19)) % 0.29/0.55 (step @p4 :rule cong :premises (@p3) :args ((forall @t12 (= @t17 @t19)))) % 0.29/0.55 (step @p5 :rule refl :args (@t19)) % 0.29/0.55 (step @p6 :rule refl :args (@t15)) % 0.29/0.55 (step @p7 :rule refl :args (@t5)) % 0.29/0.55 (step @p8 :rule cong :premises (@p7 @p6) :args ((= @t5 @t15))) % 0.29/0.55 (step @p9 :rule symm :premises (@p8)) % 0.29/0.55 (step @p10 :rule eq_resolve :premises (@p7 @p9)) % 0.29/0.55 (step @p11 :rule cong :premises (@p10) :args (@t6)) % 0.29/0.55 (step @p12 :rule refl :args (@t16)) % 0.29/0.55 (step @p13 :rule refl :args (@t8)) % 0.29/0.55 (step @p14 :rule cong :premises (@p13 @p12) :args ((= @t8 @t16))) % 0.29/0.55 (step @p15 :rule symm :premises (@p14)) % 0.29/0.55 (step @p16 :rule eq_resolve :premises (@p13 @p15)) % 0.29/0.55 (step @p17 :rule nary_cong :premises (@p16 @p11 @p10) :args (@t9)) % 0.29/0.55 (step @p18 :rule cong :premises (@p17) :args (@t10)) % 0.29/0.55 (step @p19 :rule cong :premises (@p18 @p5) :args (@t20)) % 0.29/0.55 (step @p20 :rule cong :premises (@p19) :args ((forall @t12 @t20))) % 0.29/0.55 (step @p21 :rule trans :premises (@p20 @p4)) % 0.29/0.55 (step @p22 :rule refl :args (@t19)) % 0.29/0.55 (step @p23 :rule symm :premises (@p22)) % 0.29/0.55 (step @p24 :rule alpha_equiv :args (@t3 (@list @t1) (@list @t18))) % 0.29/0.55 (step @p25 :rule trans :premises (@p24 @p23)) % 0.29/0.55 (step @p26 :rule refl :args (@t10)) % 0.29/0.55 (step @p27 :rule cong :premises (@p26 @p25) :args (@t11)) % 0.29/0.55 (step @p28 :rule cong :premises (@p27) :args (@t13)) % 0.29/0.55 (step @p29 :rule trans :premises (@p28 @p21)) % 0.29/0.55 (step @p30 :rule cong :premises (@p29) :args (@t14)) % 0.29/0.55 (step @p31 :rule eq_resolve :premises (@p1 @p30)) % 0.29/0.55 (step @p32 :rule refl :args (@t29)) % 0.29/0.55 (step @p33 :rule bool-double-not-elim :args (@t22)) % 0.29/0.55 (step @p34 :rule nary_cong :premises (@p33 @p32) :args ((or (not @t30) @t29))) % 0.29/0.55 (step @p35 :rule eq-symm :args (@t21 @t27)) % 0.29/0.55 (step @p36 :rule eq-refl :args (@t26)) % 0.29/0.55 (step @p37 :rule skolem_intro :args (@t27)) % 0.29/0.55 (step @p38 :rule refl :args (@t26)) % 0.29/0.55 (step @p39 :rule cong :premises (@p38 @p37) :args ((= @t26 @t27))) % 0.29/0.55 (step @p40 :rule trans :premises (@p39 @p36)) % 0.29/0.55 (step @p41 :rule true_elim :premises (@p40)) % 0.29/0.55 (step @p42 :rule eq-refl :args (@t19)) % 0.29/0.55 (step @p43 :rule refl :args (@t19)) % 0.29/0.55 (step @p44 :rule cong :premises (@p43 @p23) :args ((= @t19 @t19))) % 0.29/0.55 (step @p45 :rule trans :premises (@p44 @p42)) % 0.29/0.55 (step @p46 :rule skolem_intro :args (@t21)) % 0.29/0.55 (step @p47 :rule cong :premises (@p43 @p46) :args ((= @t19 @t21))) % 0.29/0.55 (step @p48 :rule trans :premises (@p47 @p45)) % 0.29/0.55 (step @p49 :rule true_elim :premises (@p48)) % 0.29/0.55 (step @p50 :rule cong :premises (@p49 @p41) :args (@t31)) % 0.29/0.55 (step @p51 :rule trans :premises (@p50 @p35)) % 0.29/0.55 (step @p52 :rule cong :premises (@p51) :args (@t32)) % 0.29/0.55 (step @p53 :rule refl :args (@t30)) % 0.29/0.55 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t30 @t32))) % 0.29/0.55 (assume-push @p99 @t30) % 0.29/0.55 (step @p56 :rule skolemize :premises (@p31)) % 0.29/0.55 (step-pop @p100 :rule scope :premises (@p56)) % 0.29/0.55 (step @p57 :rule process_scope :premises (@p100) :args (@t32)) % 0.29/0.55 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.29/0.55 (step @p60 :rule implies_elim :premises (@p59)) % 0.29/0.55 (step @p61 :rule eq_resolve :premises (@p60 @p34)) % 0.29/0.55 (step @p62 :rule chain_m_resolution :premises (@p61 @p31) :args (@t29 @t33 (@list @t22))) % 0.29/0.55 (step @p63 :rule bool-double-not-elim :args (@t37)) % 0.29/0.55 (step @p64 :rule bool-eq-false :args (@t37)) % 0.29/0.55 (step @p65 :rule evaluate :args ((not false))) % 0.29/0.55 (step @p66 :rule beta-reduce :args ((= @t38 false))) % 0.29/0.55 (step @p67 :rule cong :premises (@p66) :args ((not @t38))) % 0.29/0.55 (step @p68 :rule trans :premises (@p67 @p65)) % 0.29/0.55 (step @p69 :rule refl :args (@t34)) % 0.29/0.55 (step @p70 :rule ho_cong :premises (@p46 @p69)) % 0.29/0.55 (step @p71 :rule cong :premises (@p70) :args ((not @t39))) % 0.29/0.55 (step @p72 :rule bool-eq-false :args (@t39)) % 0.29/0.55 (step @p73 :rule trans :premises (@p72 @p71 @p68)) % 0.29/0.55 (step @p74 :rule true_elim :premises (@p73)) % 0.29/0.55 (step @p75 :rule eq-refl :args (@t37)) % 0.29/0.55 (step @p76 :rule refl :args (@t37)) % 0.29/0.55 (step @p77 :rule beta-reduce :args (@t40)) % 0.29/0.55 (step @p78 :rule cong :premises (@p77 @p76) :args (@t40)) % 0.29/0.55 (step @p79 :rule trans :premises (@p78 @p75)) % 0.29/0.55 (step @p80 :rule ho_cong :premises (@p37 @p69)) % 0.29/0.55 (step @p81 :rule cong :premises (@p80 @p76) :args ((= @t41 @t37))) % 0.29/0.55 (step @p82 :rule trans :premises (@p81 @p79)) % 0.29/0.55 (step @p83 :rule true_elim :premises (@p82)) % 0.29/0.55 (step @p84 :rule cong :premises (@p83 @p74) :args (@t42)) % 0.29/0.55 (step @p85 :rule trans :premises (@p84 @p64)) % 0.29/0.55 (step @p86 :rule cong :premises (@p85) :args (@t43)) % 0.29/0.55 (step @p87 :rule trans :premises (@p86 @p63)) % 0.29/0.55 (step @p88 :rule refl :args (@t28)) % 0.29/0.55 (step @p89 :rule nary_cong :premises (@p88 @p87) :args (@t44)) % 0.29/0.55 ; WARNING: add trust step for TRUST % 0.29/0.55 ; trust TRUST THEORY_LEMMA % 0.29/0.55 (step @p90 :rule trust :premises () :args (@t44)) % 0.29/0.55 (step @p91 :rule eq_resolve :premises (@p90 @p89)) % 0.29/0.55 (step @p92 :rule chain_m_resolution :premises (@p91 @p62) :args (@t37 @t33 (@list @t28))) % 0.29/0.55 (step @p93 :rule cnf_and_pos :args (@t37 1)) % 0.29/0.55 (step @p94 :rule reordering :premises (@p93) :args ((or @t36 @t45))) % 0.29/0.55 (step @p95 :rule chain_m_resolution :premises (@p94 @p92) :args (@t36 (@list false) (@list @t37))) % 0.29/0.55 (step @p96 :rule cnf_and_pos :args (@t37 2)) % 0.29/0.55 (step @p97 :rule reordering :premises (@p96) :args ((or @t35 @t45))) % 0.29/0.55 (step @p98 false :rule chain_m_resolution :premises (@p97 @p95 @p92) :args (false (@list true false) (@list @t35 @t37))) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------