%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SYO148^5 : 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 : n002.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 09:12:07 AM UTC 2026 % Result : Theorem 0.32s 0.57s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SYO148^5 : 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 : n002.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 23:59:48 EDT 2026 % 0.17/0.35 % CPUTime : % 0.32/0.50 %----Proving TH0 % 0.32/0.57 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.32/0.57 % SZS status Theorem % 0.32/0.57 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort tptp.a 0) % 0.32/0.57 (declare-const tptp.cX (-> tptp.a Bool)) % 0.32/0.57 (declare-const tptp.cY (-> tptp.a Bool)) % 0.32/0.57 (declare-const tptp.cZ (-> tptp.a Bool)) % 0.32/0.57 (define @t1 () (@var "U" tptp.a)) % 0.32/0.57 (define @t2 () (_ tptp.cZ @t1)) % 0.32/0.57 (define @t3 () (_ tptp.cY @t1)) % 0.32/0.57 (define @t4 () (= @t3 @t2)) % 0.32/0.57 (define @t5 () (@list @t1)) % 0.32/0.57 (define @t6 () (lambda @t5 (not @t4))) % 0.32/0.57 (define @t7 () (= tptp.cX @t6)) % 0.32/0.57 (define @t8 () (_ tptp.cX @t1)) % 0.32/0.57 (define @t9 () (not @t8)) % 0.32/0.57 (define @t10 () (= @t9 @t4)) % 0.32/0.57 (define @t11 () (forall @t5 @t10)) % 0.32/0.57 (define @t12 () (=> @t11 @t7)) % 0.32/0.57 (define @t13 () (not @t12)) % 0.32/0.57 (define @t14 () (@purify @t6)) % 0.32/0.57 (define @t15 () (tptp.cZ @t1)) % 0.32/0.57 (define @t16 () (tptp.cY @t1)) % 0.32/0.57 (define @t17 () (tptp.cX @t1)) % 0.32/0.57 (define @t18 () (forall @t5 (= (not @t17) (= @t16 @t15)))) % 0.32/0.57 (define @t19 () (=> @t18 @t7)) % 0.32/0.57 (define @t20 () (@const 0 tptp.a)) % 0.32/0.57 (define @t21 () (tptp.cX @t20)) % 0.32/0.57 (define @t22 () (not @t21)) % 0.32/0.57 (define @t23 () (tptp.cY @t20)) % 0.32/0.57 (define @t24 () (tptp.cZ @t20)) % 0.32/0.57 (define @t25 () (= @t23 @t24)) % 0.32/0.57 (define @t26 () (= @t22 @t25)) % 0.32/0.57 (define @t27 () (= @t24 @t23)) % 0.32/0.57 (define @t28 () (= @t27 @t22)) % 0.32/0.57 (define @t29 () (_ tptp.cZ @t20)) % 0.32/0.57 (define @t30 () (_ tptp.cY @t20)) % 0.32/0.57 (define @t31 () (= @t30 @t29)) % 0.32/0.57 (define @t32 () (not @t31)) % 0.32/0.57 (define @t33 () (= (_ @t6 @t20) @t32)) % 0.32/0.57 (define @t34 () (_ @t14 @t20)) % 0.32/0.57 (define @t35 () (= @t21 @t34)) % 0.32/0.57 (define @t36 () (not @t35)) % 0.32/0.57 (define @t37 () (= tptp.cX @t14)) % 0.32/0.57 (define @t38 () (or @t37 @t36)) % 0.32/0.57 (define @t39 () (not @t27)) % 0.32/0.57 (define @t40 () (= @t21 @t39)) % 0.32/0.57 (define @t41 () (not @t28)) % 0.32/0.57 (assume @p1 @t13) % 0.32/0.57 (assume @p2 true) % 0.32/0.57 (step @p3 :rule eq-refl :args (@t6)) % 0.32/0.57 (step @p4 :rule skolem_intro :args (@t14)) % 0.32/0.57 (step @p5 :rule refl :args (@t6)) % 0.32/0.57 (step @p6 :rule cong :premises (@p5 @p4) :args ((= @t6 @t14))) % 0.32/0.57 (step @p7 :rule trans :premises (@p6 @p3)) % 0.32/0.57 (step @p8 :rule true_elim :premises (@p7)) % 0.32/0.57 (step @p9 :rule refl :args (tptp.cX)) % 0.32/0.57 (step @p10 :rule cong :premises (@p9 @p8) :args (@t7)) % 0.32/0.57 (step @p11 :rule refl :args (@t18)) % 0.32/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args (@t19)) % 0.32/0.57 (step @p13 :rule cong :premises (@p12) :args ((not @t19))) % 0.32/0.57 (step @p14 :rule refl :args (@t7)) % 0.32/0.57 (step @p15 :rule refl :args (@t15)) % 0.32/0.57 (step @p16 :rule refl :args (@t2)) % 0.32/0.57 (step @p17 :rule cong :premises (@p16 @p15) :args ((= @t2 @t15))) % 0.32/0.57 (step @p18 :rule symm :premises (@p17)) % 0.32/0.57 (step @p19 :rule eq_resolve :premises (@p16 @p18)) % 0.32/0.57 (step @p20 :rule refl :args (@t16)) % 0.32/0.57 (step @p21 :rule refl :args (@t3)) % 0.32/0.57 (step @p22 :rule cong :premises (@p21 @p20) :args ((= @t3 @t16))) % 0.32/0.57 (step @p23 :rule symm :premises (@p22)) % 0.32/0.57 (step @p24 :rule eq_resolve :premises (@p21 @p23)) % 0.32/0.57 (step @p25 :rule cong :premises (@p24 @p19) :args (@t4)) % 0.32/0.57 (step @p26 :rule refl :args (@t17)) % 0.32/0.57 (step @p27 :rule refl :args (@t8)) % 0.32/0.57 (step @p28 :rule cong :premises (@p27 @p26) :args ((= @t8 @t17))) % 0.32/0.57 (step @p29 :rule symm :premises (@p28)) % 0.32/0.57 (step @p30 :rule eq_resolve :premises (@p27 @p29)) % 0.32/0.57 (step @p31 :rule cong :premises (@p30) :args (@t9)) % 0.32/0.57 (step @p32 :rule cong :premises (@p31 @p25) :args (@t10)) % 0.32/0.57 (step @p33 :rule cong :premises (@p32) :args (@t11)) % 0.32/0.57 (step @p34 :rule cong :premises (@p33 @p14) :args (@t12)) % 0.32/0.57 (step @p35 :rule cong :premises (@p34) :args (@t13)) % 0.32/0.57 (step @p36 :rule trans :premises (@p35 @p13)) % 0.32/0.57 (step @p37 :rule eq_resolve :premises (@p1 @p36)) % 0.32/0.57 (step @p38 :rule not_implies_elim1 :premises (@p37)) % 0.32/0.57 (step @p39 :rule refl :args (@t22)) % 0.32/0.57 (step @p40 :rule eq-symm :args (@t23 @t24)) % 0.32/0.57 (step @p41 :rule cong :premises (@p40 @p39) :args ((= @t25 @t22))) % 0.32/0.57 (step @p42 :rule eq-symm :args (@t22 @t25)) % 0.32/0.57 (step @p43 :rule trans :premises (@p42 @p41)) % 0.32/0.57 (step @p44 :rule cong :premises (@p11 @p43) :args ((=> @t18 @t26))) % 0.32/0.57 (assume-push @p105 @t18) % 0.32/0.57 (step @p46 :rule instantiate :premises (@p38) :args ((@list @t20))) % 0.32/0.57 (step-pop @p106 :rule scope :premises (@p46)) % 0.32/0.57 (step @p47 :rule process_scope :premises (@p106) :args (@t26)) % 0.32/0.57 (step @p49 :rule eq_resolve :premises (@p47 @p44)) % 0.32/0.57 (step @p50 :rule implies_elim :premises (@p49)) % 0.32/0.57 (step @p51 :rule chain_m_resolution :premises (@p50 @p38) :args (@t28 (@list false) (@list @t18))) % 0.32/0.57 (step @p52 :rule not_implies_elim2 :premises (@p37)) % 0.32/0.57 (step @p53 :rule refl :args (@t24)) % 0.32/0.57 (step @p54 :rule refl :args (@t29)) % 0.32/0.57 (step @p55 :rule cong :premises (@p54 @p53) :args ((= @t29 @t24))) % 0.32/0.57 (step @p56 :rule symm :premises (@p55)) % 0.32/0.57 (step @p57 :rule eq_resolve :premises (@p54 @p56)) % 0.32/0.57 (step @p58 :rule refl :args (@t23)) % 0.32/0.57 (step @p59 :rule refl :args (@t30)) % 0.32/0.57 (step @p60 :rule cong :premises (@p59 @p58) :args ((= @t30 @t23))) % 0.32/0.57 (step @p61 :rule symm :premises (@p60)) % 0.32/0.57 (step @p62 :rule eq_resolve :premises (@p59 @p61)) % 0.32/0.57 (step @p63 :rule cong :premises (@p62 @p57) :args (@t31)) % 0.32/0.57 (step @p64 :rule trans :premises (@p63 @p40)) % 0.32/0.57 (step @p65 :rule cong :premises (@p64) :args (@t32)) % 0.32/0.57 (step @p66 :rule eq-refl :args (@t32)) % 0.32/0.57 (step @p67 :rule refl :args (@t32)) % 0.32/0.57 (step @p68 :rule beta-reduce :args (@t33)) % 0.32/0.57 (step @p69 :rule cong :premises (@p68 @p67) :args (@t33)) % 0.32/0.57 (step @p70 :rule trans :premises (@p69 @p66)) % 0.32/0.57 (step @p71 :rule refl :args (@t20)) % 0.32/0.57 (step @p72 :rule ho_cong :premises (@p4 @p71)) % 0.32/0.57 (step @p73 :rule cong :premises (@p72 @p67) :args ((= @t34 @t32))) % 0.32/0.57 (step @p74 :rule trans :premises (@p73 @p70)) % 0.32/0.57 (step @p75 :rule true_elim :premises (@p74)) % 0.32/0.57 (step @p76 :rule trans :premises (@p75 @p65)) % 0.32/0.57 (step @p77 :rule refl :args (@t21)) % 0.32/0.57 (step @p78 :rule cong :premises (@p77 @p76) :args (@t35)) % 0.32/0.57 (step @p79 :rule cong :premises (@p78) :args (@t36)) % 0.32/0.57 (step @p80 :rule refl :args (@t37)) % 0.32/0.57 (step @p81 :rule nary_cong :premises (@p80 @p79) :args (@t38)) % 0.32/0.57 ; WARNING: add trust step for TRUST % 0.32/0.57 ; trust TRUST THEORY_LEMMA % 0.32/0.57 (step @p82 :rule trust :premises () :args (@t38)) % 0.32/0.57 (step @p83 :rule eq_resolve :premises (@p82 @p81)) % 0.32/0.57 (step @p84 :rule chain_m_resolution :premises (@p83 @p52) :args ((not @t40) (@list true) (@list @t37))) % 0.32/0.57 (step @p85 :rule bool-double-not-elim :args (@t27)) % 0.32/0.57 (step @p86 :rule refl :args (@t40)) % 0.32/0.57 (step @p87 :rule nary_cong :premises (@p86 @p39 @p85) :args ((or @t40 @t22 (not @t39)))) % 0.32/0.57 (step @p88 :rule cnf_equiv_neg2 :args (@t40)) % 0.32/0.57 (step @p89 :rule eq_resolve :premises (@p88 @p87)) % 0.32/0.57 (step @p90 :rule reordering :premises (@p89) :args ((or @t27 @t40 @t22))) % 0.32/0.57 (step @p91 :rule cnf_equiv_pos1 :args (@t28)) % 0.32/0.57 (step @p92 :rule reordering :premises (@p91) :args ((or @t39 @t22 @t41))) % 0.32/0.57 (step @p93 :rule chain_m_resolution :premises (@p92 @p51 @p90 @p84) :args (@t22 (@list false false true) (@list @t28 @t27 @t40))) % 0.32/0.57 (step @p94 :rule cnf_equiv_neg1 :args (@t40)) % 0.32/0.57 (step @p95 :rule reordering :premises (@p94) :args ((or @t21 @t39 @t40))) % 0.32/0.57 (step @p96 :rule chain_m_resolution :premises (@p95 @p93 @p84) :args (@t39 (@list true true) (@list @t21 @t40))) % 0.32/0.57 (step @p97 :rule bool-double-not-elim :args (@t21)) % 0.32/0.57 (step @p98 :rule refl :args (@t27)) % 0.32/0.57 (step @p99 :rule refl :args (@t41)) % 0.32/0.57 (step @p100 :rule nary_cong :premises (@p99 @p98 @p97) :args ((or @t41 @t27 (not @t22)))) % 0.32/0.57 (step @p101 :rule cnf_equiv_pos2 :args (@t28)) % 0.32/0.57 (step @p102 :rule eq_resolve :premises (@p101 @p100)) % 0.32/0.57 (step @p103 :rule reordering :premises (@p102) :args ((or @t21 @t27 @t41))) % 0.32/0.57 (step @p104 false :rule chain_m_resolution :premises (@p103 @p96 @p93 @p51) :args (false (@list true true false) (@list @t27 @t21 @t28))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------