%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN009-4 : TPTP v9.2.1. Bugfixed v1.2.1. % 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 08:22:54 AM UTC 2026 % Result : Unsatisfiable 0.52s 0.75s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN009-4 : TPTP v9.2.1. Bugfixed v1.2.1. % 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 : n009.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 02:15:59 EDT 2026 % 0.17/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.75 % SZS status Unsatisfiable % 0.52/0.75 % SZS output start Proof % 0.52/0.75 ( % 0.52/0.75 (declare-sort $$unsorted 0) % 0.52/0.75 (declare-const tptp.a $$unsorted) % 0.52/0.75 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.52/0.75 (declare-const tptp.identity $$unsorted) % 0.52/0.75 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.75 (declare-const tptp.zero $$unsorted) % 0.52/0.75 (define @t1 () (@var "Y" $$unsorted)) % 0.52/0.75 (define @t2 () (@var "X" $$unsorted)) % 0.52/0.75 (define @t3 () (tptp.divide @t2 @t1)) % 0.52/0.75 (define @t4 () (= @t3 tptp.zero)) % 0.52/0.75 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.52/0.75 (define @t6 () (not @t5)) % 0.52/0.75 (define @t7 () (@list @t2 @t1)) % 0.52/0.75 (define @t8 () (not @t4)) % 0.52/0.75 (define @t9 () (or @t8 @t5)) % 0.52/0.75 (define @t10 () (forall @t7 @t9)) % 0.52/0.75 (define @t11 () (@var "Z" $$unsorted)) % 0.52/0.75 (define @t12 () (tptp.divide @t1 @t11)) % 0.52/0.75 (define @t13 () (tptp.divide @t2 @t11)) % 0.52/0.75 (define @t14 () (@list @t2)) % 0.52/0.75 (define @t15 () (forall @t7 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.52/0.75 (define @t16 () (tptp.divide @t2 tptp.identity)) % 0.52/0.75 (define @t17 () (forall @t14 (= @t16 tptp.zero))) % 0.52/0.75 (define @t18 () (@list @t2 @t1 @t11)) % 0.52/0.75 (define @t19 () (tptp.divide tptp.identity tptp.a)) % 0.52/0.75 (define @t20 () (tptp.divide tptp.identity @t19)) % 0.52/0.75 (define @t21 () (tptp.divide tptp.identity @t20)) % 0.52/0.75 (define @t22 () (= @t19 @t21)) % 0.52/0.75 (define @t23 () (tptp.less_equal tptp.identity tptp.identity)) % 0.52/0.75 (define @t24 () (= tptp.zero (tptp.divide tptp.identity tptp.identity))) % 0.52/0.75 (define @t25 () (not @t24)) % 0.52/0.75 (define @t26 () (or @t25 @t23)) % 0.52/0.75 (define @t27 () (@list false false)) % 0.52/0.75 (define @t28 () (tptp.less_equal @t19 @t19)) % 0.52/0.75 (define @t29 () (not @t23)) % 0.52/0.75 (define @t30 () (or @t29 @t28)) % 0.52/0.75 (define @t31 () (tptp.less_equal @t20 tptp.a)) % 0.52/0.75 (define @t32 () (not @t28)) % 0.52/0.75 (define @t33 () (or @t32 @t31)) % 0.52/0.75 (define @t34 () (tptp.less_equal @t19 @t21)) % 0.52/0.75 (define @t35 () (not @t31)) % 0.52/0.75 (define @t36 () (or @t35 @t34)) % 0.52/0.75 (define @t37 () (tptp.less_equal @t20 @t20)) % 0.52/0.75 (define @t38 () (or @t29 @t37)) % 0.52/0.75 (define @t39 () (tptp.less_equal @t21 @t19)) % 0.52/0.75 (define @t40 () (not @t37)) % 0.52/0.75 (define @t41 () (or @t40 @t39)) % 0.52/0.75 (define @t42 () (not @t34)) % 0.52/0.75 (define @t43 () (not @t39)) % 0.52/0.75 (define @t44 () (or @t43 @t42 @t22)) % 0.52/0.75 (define @t45 () (not @t44)) % 0.52/0.75 (define @t46 () (or @t43 @t42 (= @t21 @t19))) % 0.52/0.75 (assume @p1 (forall @t7 (or @t6 @t4))) % 0.52/0.75 (assume @p2 @t10) % 0.52/0.75 (assume @p3 (forall @t7 (tptp.less_equal @t3 @t2))) % 0.52/0.75 (assume @p4 (forall (@list @t2 @t11 @t1) (tptp.less_equal (tptp.divide @t13 @t12) (tptp.divide @t3 @t11)))) % 0.52/0.75 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 0.52/0.75 (assume @p6 @t15) % 0.52/0.75 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 0.52/0.75 (assume @p8 @t17) % 0.52/0.75 (assume @p9 (forall @t14 (= (tptp.divide tptp.zero @t2) tptp.zero))) % 0.52/0.75 (assume @p10 (forall @t14 (= (tptp.divide @t2 @t2) tptp.zero))) % 0.52/0.75 (assume @p11 (= (tptp.divide tptp.a tptp.zero) tptp.a)) % 0.52/0.75 (assume @p12 (forall @t18 (or @t6 (not (tptp.less_equal @t1 @t11)) (tptp.less_equal @t2 @t11)))) % 0.52/0.75 (assume @p13 (forall @t18 (or (not (tptp.less_equal @t3 @t11)) (tptp.less_equal @t13 @t1)))) % 0.52/0.75 (assume @p14 (forall @t18 (or @t6 (tptp.less_equal (tptp.divide @t11 @t1) (tptp.divide @t11 @t2))))) % 0.52/0.75 (assume @p15 (forall @t18 (or @t6 (tptp.less_equal @t13 @t12)))) % 0.52/0.75 (assume @p16 (not @t22)) % 0.52/0.75 (step @p17 :rule instantiate :premises (@p14) :args ((@list @t20 tptp.a tptp.identity))) % 0.52/0.75 (step @p18 :rule instantiate :premises (@p13) :args ((@list tptp.identity tptp.a @t19))) % 0.52/0.75 (step @p19 :rule instantiate :premises (@p15) :args ((@list tptp.identity tptp.identity tptp.a))) % 0.52/0.75 (step @p20 :rule refl :args (@t5)) % 0.52/0.75 (step @p21 :rule eq-symm :args (@t3 tptp.zero)) % 0.52/0.75 (step @p22 :rule cong :premises (@p21) :args (@t8)) % 0.52/0.75 (step @p23 :rule nary_cong :premises (@p22 @p20) :args (@t9)) % 0.52/0.75 (step @p24 :rule cong :premises (@p23) :args (@t10)) % 0.52/0.75 (step @p25 :rule eq_resolve :premises (@p2 @p24)) % 0.52/0.75 (step @p26 :rule instantiate :premises (@p25) :args ((@list tptp.identity tptp.identity))) % 0.52/0.75 (step @p27 :rule eq-symm :args (@t16 tptp.zero)) % 0.52/0.75 (step @p28 :rule cong :premises (@p27) :args (@t17)) % 0.52/0.75 (step @p29 :rule eq_resolve :premises (@p8 @p28)) % 0.52/0.75 (step @p30 :rule instantiate :premises (@p29) :args ((@list tptp.identity))) % 0.52/0.75 (step @p31 :rule cnf_or_pos :args (@t26)) % 0.52/0.75 (step @p32 :rule reordering :premises (@p31) :args ((or @t23 @t25 (not @t26)))) % 0.52/0.75 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p26) :args (@t23 @t27 (@list @t24 @t26))) % 0.52/0.75 (step @p34 :rule cnf_or_pos :args (@t30)) % 0.52/0.75 (step @p35 :rule reordering :premises (@p34) :args ((or @t29 @t28 (not @t30)))) % 0.52/0.75 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p19) :args (@t28 @t27 (@list @t23 @t30))) % 0.52/0.75 (step @p37 :rule cnf_or_pos :args (@t33)) % 0.52/0.75 (step @p38 :rule reordering :premises (@p37) :args ((or @t32 @t31 (not @t33)))) % 0.52/0.75 (step @p39 :rule chain_m_resolution :premises (@p38 @p36 @p18) :args (@t31 @t27 (@list @t28 @t33))) % 0.52/0.75 (step @p40 :rule cnf_or_pos :args (@t36)) % 0.52/0.75 (step @p41 :rule reordering :premises (@p40) :args ((or @t34 @t35 (not @t36)))) % 0.52/0.75 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p17) :args (@t34 @t27 (@list @t31 @t36))) % 0.52/0.75 (step @p43 :rule instantiate :premises (@p13) :args ((@list tptp.identity @t19 @t20))) % 0.52/0.75 (step @p44 :rule instantiate :premises (@p15) :args ((@list tptp.identity tptp.identity @t19))) % 0.52/0.75 (step @p45 :rule cnf_or_pos :args (@t38)) % 0.52/0.75 (step @p46 :rule reordering :premises (@p45) :args ((or @t29 @t37 (not @t38)))) % 0.52/0.75 (step @p47 :rule chain_m_resolution :premises (@p46 @p33 @p44) :args (@t37 @t27 (@list @t23 @t38))) % 0.52/0.75 (step @p48 :rule cnf_or_pos :args (@t41)) % 0.52/0.75 (step @p49 :rule reordering :premises (@p48) :args ((or @t40 @t39 (not @t41)))) % 0.52/0.75 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p43) :args (@t39 @t27 (@list @t37 @t41))) % 0.52/0.75 (step @p51 :rule cnf_or_pos :args (@t44)) % 0.52/0.75 (step @p52 :rule reordering :premises (@p51) :args ((or @t22 @t43 @t42 @t45))) % 0.52/0.75 (step @p53 :rule chain_m_resolution :premises (@p52 @p16 @p50 @p42) :args (@t45 (@list true false false) (@list @t22 @t39 @t34))) % 0.52/0.75 (step @p54 :rule eq-symm :args (@t21 @t19)) % 0.52/0.75 (step @p55 :rule refl :args (@t42)) % 0.52/0.75 (step @p56 :rule refl :args (@t43)) % 0.52/0.75 (step @p57 :rule nary_cong :premises (@p56 @p55 @p54) :args (@t46)) % 0.52/0.75 (step @p58 :rule refl :args (@t15)) % 0.52/0.75 (step @p59 :rule cong :premises (@p58 @p57) :args ((=> @t15 @t46))) % 0.52/0.75 (assume-push @p67 @t15) % 0.52/0.75 (step @p61 :rule instantiate :premises (@p6) :args ((@list @t21 @t19))) % 0.52/0.75 (step-pop @p68 :rule scope :premises (@p61)) % 0.52/0.75 (step @p62 :rule process_scope :premises (@p68) :args (@t46)) % 0.52/0.75 (step @p64 :rule eq_resolve :premises (@p62 @p59)) % 0.52/0.75 (step @p65 :rule implies_elim :premises (@p64)) % 0.52/0.75 (step @p66 false :rule chain_m_resolution :premises (@p65 @p53 @p6) :args (false (@list true false) (@list @t44 @t15))) % 0.52/0.75 ) % 0.52/0.75 % SZS output end Proof % 0.52/0.76 % cvc5 exiting %------------------------------------------------------------------------------