%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN003-5 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.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 08:22:50 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN003-5 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n009.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 02:13:59 EDT 2026 % 0.18/0.35 % CPUTime : % 0.31/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.a $$unsorted) % 0.37/0.57 (declare-const tptp.identity $$unsorted) % 0.37/0.57 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.zero $$unsorted) % 0.37/0.57 (define @t1 () (@var "X" $$unsorted)) % 0.37/0.57 (define @t2 () (@var "Y" $$unsorted)) % 0.37/0.57 (define @t3 () (tptp.divide @t1 @t2)) % 0.37/0.57 (define @t4 () (tptp.divide @t3 @t1)) % 0.37/0.57 (define @t5 () (@list @t1 @t2)) % 0.37/0.57 (define @t6 () (forall @t5 (= @t4 tptp.zero))) % 0.37/0.57 (define @t7 () (@var "Z" $$unsorted)) % 0.37/0.57 (define @t8 () (tptp.divide (tptp.divide (tptp.divide @t1 @t7) (tptp.divide @t2 @t7)) (tptp.divide @t3 @t7))) % 0.37/0.57 (define @t9 () (forall (@list @t1 @t7 @t2) (= @t8 tptp.zero))) % 0.37/0.57 (define @t10 () (@list @t1)) % 0.37/0.57 (define @t11 () (= @t1 @t2)) % 0.37/0.57 (define @t12 () (tptp.divide @t2 @t1)) % 0.37/0.57 (define @t13 () (not (= @t12 tptp.zero))) % 0.37/0.57 (define @t14 () (not (= @t3 tptp.zero))) % 0.37/0.57 (define @t15 () (or @t14 @t13 @t11)) % 0.37/0.57 (define @t16 () (forall @t5 @t15)) % 0.37/0.57 (define @t17 () (tptp.divide tptp.a tptp.a)) % 0.37/0.57 (define @t18 () (tptp.divide @t17 tptp.a)) % 0.37/0.57 (define @t19 () (tptp.divide @t17 @t18)) % 0.37/0.57 (define @t20 () (= tptp.zero @t19)) % 0.37/0.57 (define @t21 () (not @t20)) % 0.37/0.57 (define @t22 () (= tptp.zero (tptp.divide @t18 @t17))) % 0.37/0.57 (define @t23 () (not @t22)) % 0.37/0.57 (define @t24 () (= @t18 @t17)) % 0.37/0.57 (define @t25 () (or @t23 @t21 @t24)) % 0.37/0.57 (define @t26 () (forall @t5 (or (not (= tptp.zero @t3)) (not (= tptp.zero @t12)) @t11))) % 0.37/0.57 (define @t27 () (= @t17 @t18)) % 0.37/0.57 (define @t28 () (or @t23 @t21 @t27)) % 0.37/0.57 (define @t29 () (tptp.divide tptp.a @t17)) % 0.37/0.57 (define @t30 () (tptp.divide (tptp.divide tptp.a @t29) tptp.a)) % 0.37/0.57 (define @t31 () (tptp.divide @t29 tptp.a)) % 0.37/0.57 (define @t32 () (tptp.divide @t17 @t31)) % 0.37/0.57 (define @t33 () (tptp.divide @t32 @t30)) % 0.37/0.57 (define @t34 () (= @t32 @t30)) % 0.37/0.57 (define @t35 () (= tptp.zero (tptp.divide @t30 @t32))) % 0.37/0.57 (define @t36 () (not @t35)) % 0.37/0.57 (define @t37 () (= tptp.zero @t33)) % 0.37/0.57 (define @t38 () (not @t37)) % 0.37/0.57 (define @t39 () (or @t38 @t36 @t34)) % 0.37/0.57 (define @t40 () (= tptp.zero @t18)) % 0.37/0.57 (define @t41 () (= tptp.zero @t31)) % 0.37/0.57 (define @t42 () (= tptp.zero @t30)) % 0.37/0.57 (define @t43 () (and @t40 @t41 @t42 @t34)) % 0.37/0.57 (assume @p1 @t6) % 0.37/0.57 (assume @p2 @t9) % 0.37/0.57 (assume @p3 (forall @t10 (= (tptp.divide tptp.zero @t1) tptp.zero))) % 0.37/0.57 (assume @p4 @t16) % 0.37/0.57 (assume @p5 (forall @t10 (= (tptp.divide @t1 tptp.identity) tptp.zero))) % 0.37/0.57 (assume @p6 (not (= @t17 tptp.zero))) % 0.37/0.57 (step @p7 :rule eq-symm :args (@t4 tptp.zero)) % 0.37/0.57 (step @p8 :rule cong :premises (@p7) :args (@t6)) % 0.37/0.57 (step @p9 :rule eq_resolve :premises (@p1 @p8)) % 0.37/0.57 (step @p10 :rule instantiate :premises (@p9) :args ((@list tptp.a tptp.a))) % 0.37/0.57 (step @p11 :rule instantiate :premises (@p9) :args ((@list tptp.a @t17))) % 0.37/0.57 (step @p12 :rule refl :args (@t11)) % 0.37/0.57 (step @p13 :rule eq-symm :args (@t12 tptp.zero)) % 0.37/0.57 (step @p14 :rule cong :premises (@p13) :args (@t13)) % 0.37/0.57 (step @p15 :rule eq-symm :args (@t3 tptp.zero)) % 0.37/0.57 (step @p16 :rule cong :premises (@p15) :args (@t14)) % 0.37/0.57 (step @p17 :rule nary_cong :premises (@p16 @p14 @p12) :args (@t15)) % 0.37/0.57 (step @p18 :rule cong :premises (@p17) :args (@t16)) % 0.37/0.57 (step @p19 :rule eq_resolve :premises (@p4 @p18)) % 0.37/0.57 (step @p20 :rule eq-symm :args (@t18 @t17)) % 0.37/0.57 (step @p21 :rule refl :args (@t21)) % 0.37/0.57 (step @p22 :rule refl :args (@t23)) % 0.37/0.57 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args (@t25)) % 0.37/0.57 (step @p24 :rule refl :args (@t26)) % 0.37/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args ((=> @t26 @t25))) % 0.37/0.57 (assume-push @p95 @t26) % 0.37/0.57 (step @p27 :rule instantiate :premises (@p19) :args ((@list @t18 @t17))) % 0.37/0.57 (step-pop @p96 :rule scope :premises (@p27)) % 0.37/0.57 (step @p28 :rule process_scope :premises (@p96) :args (@t25)) % 0.37/0.57 (step @p30 :rule eq_resolve :premises (@p28 @p25)) % 0.37/0.57 (step @p31 :rule implies_elim :premises (@p30)) % 0.37/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p19) :args (@t28 (@list false) (@list @t26))) % 0.37/0.57 (step @p33 :rule bool-eq-false :args (@t27)) % 0.37/0.57 (step @p34 :rule symm :premises (@p33)) % 0.37/0.57 (step @p35 :rule cong :premises (@p20) :args ((not @t24))) % 0.37/0.57 (step @p36 :rule bool-eq-false :args (@t24)) % 0.37/0.57 (step @p37 :rule trans :premises (@p36 @p35)) % 0.37/0.57 (step @p38 :rule trans :premises (@p37 @p34)) % 0.37/0.57 (step @p39 :rule symm :premises (@p6)) % 0.37/0.57 (step @p40 :rule false_intro :premises (@p39)) % 0.37/0.57 (step @p41 :rule refl :args (@t17)) % 0.37/0.57 (step @p42 :rule symm :premises (@p10)) % 0.37/0.57 (step @p43 :rule cong :premises (@p42 @p41) :args (@t24)) % 0.37/0.57 (step @p44 :rule trans :premises (@p43 @p40)) % 0.37/0.57 (step @p45 :rule eq_resolve :premises (@p44 @p38)) % 0.37/0.57 (step @p46 :rule false_elim :premises (@p45)) % 0.37/0.57 (step @p47 :rule instantiate :premises (@p9) :args ((@list @t17 tptp.a))) % 0.37/0.57 (step @p48 :rule cnf_or_pos :args (@t28)) % 0.37/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or @t23 @t21 @t27 (not @t28)))) % 0.37/0.57 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p46 @p32) :args (@t21 (@list false true false) (@list @t22 @t27 @t28))) % 0.37/0.57 (step @p51 :rule instantiate :premises (@p9) :args ((@list tptp.a @t29))) % 0.37/0.57 (step @p52 :rule instantiate :premises (@p19) :args ((@list @t32 @t30))) % 0.37/0.57 (step @p53 :rule refl :args (@t32)) % 0.37/0.57 (step @p54 :rule trans :premises (@p42 @p51)) % 0.37/0.57 (step @p55 :rule eq-symm :args (@t8 tptp.zero)) % 0.37/0.57 (step @p56 :rule cong :premises (@p55) :args (@t9)) % 0.37/0.57 (step @p57 :rule eq_resolve :premises (@p2 @p56)) % 0.37/0.57 (step @p58 :rule instantiate :premises (@p57) :args ((@list tptp.a tptp.a @t29))) % 0.37/0.57 (step @p59 :rule symm :premises (@p58)) % 0.37/0.57 (step @p60 :rule trans :premises (@p59 @p10)) % 0.37/0.57 (step @p61 :rule trans :premises (@p60 @p54)) % 0.37/0.57 (step @p62 :rule cong :premises (@p61 @p53) :args ((tptp.divide @t33 @t32))) % 0.37/0.57 (step @p63 :rule trans :premises (@p42 @p11)) % 0.37/0.57 (step @p64 :rule cong :premises (@p41 @p63) :args (@t19)) % 0.37/0.57 (step @p65 :rule symm :premises (@p60)) % 0.37/0.57 (step @p66 :rule instantiate :premises (@p9) :args ((@list @t17 @t18))) % 0.37/0.57 (step @p67 :rule symm :premises (@p66)) % 0.37/0.57 (step @p68 :rule trans :premises (@p67 @p10)) % 0.37/0.57 (step @p69 :rule trans :premises (@p68 @p65)) % 0.37/0.57 (step @p70 :rule cong :premises (@p69 @p64) :args ((tptp.divide (tptp.divide @t19 @t17) @t19))) % 0.37/0.57 (step @p71 :rule instantiate :premises (@p9) :args ((@list @t19 @t17))) % 0.37/0.57 (step @p72 :rule trans :premises (@p71 @p70 @p62)) % 0.37/0.57 (step @p73 :rule cnf_or_pos :args (@t39)) % 0.37/0.57 (step @p74 :rule reordering :premises (@p73) :args ((or @t38 @t36 @t34 (not @t39)))) % 0.37/0.57 (step @p75 :rule chain_m_resolution :premises (@p74 @p58 @p72 @p52) :args (@t34 (@list false false false) (@list @t37 @t35 @t39))) % 0.37/0.57 (assume-push @p97 @t40) % 0.37/0.57 (assume-push @p98 @t41) % 0.37/0.57 (assume-push @p99 @t42) % 0.37/0.57 (assume-push @p100 @t34) % 0.37/0.57 (step @p80 :rule symm :premises (@p11)) % 0.37/0.57 (step @p81 :rule trans :premises (@p80 @p10)) % 0.37/0.57 (step @p82 :rule cong :premises (@p41 @p81) :args (@t32)) % 0.37/0.57 (step @p83 :rule symm :premises (@p75)) % 0.37/0.57 (step @p84 :rule trans :premises (@p51 @p83 @p82)) % 0.37/0.57 (step-pop @p101 :rule scope :premises (@p84)) % 0.37/0.57 (step-pop @p102 :rule scope :premises (@p101)) % 0.37/0.57 (step-pop @p103 :rule scope :premises (@p102)) % 0.37/0.57 (step-pop @p104 :rule scope :premises (@p103)) % 0.37/0.57 (step @p85 :rule process_scope :premises (@p104) :args (@t20)) % 0.37/0.57 (step @p90 :rule implies_elim :premises (@p85)) % 0.37/0.57 (step @p91 :rule cnf_and_neg :args (@t43)) % 0.37/0.57 (step @p92 :rule resolution :premises (@p91 @p90) :args (true @t43)) % 0.37/0.57 (step @p93 :rule reordering :premises (@p92) :args ((or (not @t40) @t20 (not @t41) (not @t42) (not @t34)))) % 0.37/0.57 (step @p94 false :rule chain_m_resolution :premises (@p93 @p75 @p51 @p50 @p11 @p10) :args (false (@list false false true false false) (@list @t34 @t42 @t20 @t41 @t40))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------