%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN006-4 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:22:52 AM UTC 2026 % Result : Unsatisfiable 0.53s 0.70s % Output : Proof 0.53s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN006-4 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n005.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 02:15:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.53/0.70 % SZS status Unsatisfiable % 0.53/0.70 % SZS output start Proof % 0.53/0.71 ( % 0.53/0.71 (declare-sort $$unsorted 0) % 0.53/0.71 (declare-const tptp.b $$unsorted) % 0.53/0.71 (declare-const tptp.d $$unsorted) % 0.53/0.71 (declare-const tptp.a $$unsorted) % 0.53/0.71 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.53/0.71 (declare-const tptp.identity $$unsorted) % 0.53/0.71 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.53/0.71 (declare-const tptp.zero $$unsorted) % 0.53/0.71 (define @t1 () (@var "Y" $$unsorted)) % 0.53/0.71 (define @t2 () (@var "X" $$unsorted)) % 0.53/0.71 (define @t3 () (tptp.divide @t2 @t1)) % 0.53/0.71 (define @t4 () (= @t3 tptp.zero)) % 0.53/0.71 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.53/0.71 (define @t6 () (not @t5)) % 0.53/0.71 (define @t7 () (or @t6 @t4)) % 0.53/0.71 (define @t8 () (@list @t2 @t1)) % 0.53/0.71 (define @t9 () (forall @t8 @t7)) % 0.53/0.71 (define @t10 () (not @t4)) % 0.53/0.71 (define @t11 () (or @t10 @t5)) % 0.53/0.71 (define @t12 () (forall @t8 @t11)) % 0.53/0.71 (define @t13 () (@var "Z" $$unsorted)) % 0.53/0.71 (define @t14 () (@list @t2)) % 0.53/0.71 (define @t15 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.53/0.71 (define @t16 () (tptp.divide tptp.zero @t2)) % 0.53/0.71 (define @t17 () (forall @t14 (= @t16 tptp.zero))) % 0.53/0.71 (define @t18 () (forall (@list @t2 @t1 @t13) (or @t6 (not (tptp.less_equal @t1 @t13)) (tptp.less_equal @t2 @t13)))) % 0.53/0.71 (define @t19 () (tptp.divide tptp.a tptp.b)) % 0.53/0.71 (define @t20 () (tptp.less_equal @t19 tptp.d)) % 0.53/0.71 (define @t21 () (tptp.divide tptp.a tptp.d)) % 0.53/0.71 (define @t22 () (tptp.less_equal @t21 tptp.b)) % 0.53/0.71 (define @t23 () (tptp.divide tptp.b tptp.d)) % 0.53/0.71 (define @t24 () (tptp.divide @t21 @t23)) % 0.53/0.71 (define @t25 () (tptp.divide @t19 tptp.d)) % 0.53/0.71 (define @t26 () (tptp.less_equal @t25 @t24)) % 0.53/0.71 (define @t27 () (not @t26)) % 0.53/0.71 (define @t28 () (tptp.less_equal @t24 @t25)) % 0.53/0.71 (define @t29 () (not @t28)) % 0.53/0.71 (define @t30 () (or @t29 @t27 (= @t24 @t25))) % 0.53/0.71 (define @t31 () (@list @t24 @t25)) % 0.53/0.71 (define @t32 () (= @t25 @t24)) % 0.53/0.71 (define @t33 () (or @t29 @t27 @t32)) % 0.53/0.71 (define @t34 () (= tptp.zero (tptp.divide @t24 @t25))) % 0.53/0.71 (define @t35 () (or @t29 @t34)) % 0.53/0.71 (define @t36 () (@list false false)) % 0.53/0.71 (define @t37 () (= tptp.zero @t25)) % 0.53/0.71 (define @t38 () (not @t20)) % 0.53/0.71 (define @t39 () (or @t38 @t37)) % 0.53/0.71 (define @t40 () (tptp.less_equal @t21 @t23)) % 0.53/0.71 (define @t41 () (= tptp.zero @t24)) % 0.53/0.71 (define @t42 () (not @t41)) % 0.53/0.71 (define @t43 () (or @t42 @t40)) % 0.53/0.71 (define @t44 () (tptp.less_equal @t23 tptp.b)) % 0.53/0.71 (define @t45 () (not @t44)) % 0.53/0.71 (define @t46 () (not @t40)) % 0.53/0.71 (define @t47 () (or @t46 @t45 @t22)) % 0.53/0.71 (define @t48 () (not @t47)) % 0.53/0.71 (assume @p1 @t9) % 0.53/0.71 (assume @p2 @t12) % 0.53/0.71 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 0.53/0.71 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 0.53/0.71 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 0.53/0.71 (assume @p6 @t15) % 0.53/0.71 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 0.53/0.71 (assume @p8 (forall @t14 (= (tptp.divide @t2 tptp.identity) tptp.zero))) % 0.53/0.71 (assume @p9 @t17) % 0.53/0.71 (assume @p10 (forall @t14 (= (tptp.divide @t2 @t2) tptp.zero))) % 0.53/0.71 (assume @p11 (= (tptp.divide tptp.a tptp.zero) tptp.a)) % 0.53/0.71 (assume @p12 @t18) % 0.53/0.71 (assume @p13 @t20) % 0.53/0.71 (assume @p14 (not @t22)) % 0.53/0.71 (step @p15 :rule instantiate :premises (@p3) :args ((@list tptp.b tptp.d))) % 0.53/0.71 (step @p16 :rule refl :args (@t5)) % 0.53/0.71 (step @p17 :rule eq-symm :args (@t3 tptp.zero)) % 0.53/0.71 (step @p18 :rule cong :premises (@p17) :args (@t10)) % 0.53/0.71 (step @p19 :rule nary_cong :premises (@p18 @p16) :args (@t11)) % 0.53/0.71 (step @p20 :rule cong :premises (@p19) :args (@t12)) % 0.53/0.71 (step @p21 :rule eq_resolve :premises (@p2 @p20)) % 0.53/0.71 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t21 @t23))) % 0.53/0.71 (step @p23 :rule eq-symm :args (@t24 @t25)) % 0.53/0.71 (step @p24 :rule refl :args (@t27)) % 0.53/0.71 (step @p25 :rule refl :args (@t29)) % 0.53/0.71 (step @p26 :rule nary_cong :premises (@p25 @p24 @p23) :args (@t30)) % 0.53/0.71 (step @p27 :rule refl :args (@t15)) % 0.53/0.71 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t15 @t30))) % 0.53/0.71 (assume-push @p82 @t15) % 0.53/0.71 (step @p30 :rule instantiate :premises (@p6) :args (@t31)) % 0.53/0.71 (step-pop @p83 :rule scope :premises (@p30)) % 0.53/0.71 (step @p31 :rule process_scope :premises (@p83) :args (@t30)) % 0.53/0.71 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 0.53/0.71 (step @p34 :rule implies_elim :premises (@p33)) % 0.53/0.71 (step @p35 :rule chain_m_resolution :premises (@p34 @p6) :args (@t33 (@list false) (@list @t15))) % 0.53/0.71 (step @p36 :rule instantiate :premises (@p3) :args (@t31)) % 0.53/0.71 (step @p37 :rule true_intro :premises (@p36)) % 0.53/0.71 (step @p38 :rule refl :args (@t24)) % 0.53/0.71 (step @p39 :rule refl :args (@t6)) % 0.53/0.71 (step @p40 :rule nary_cong :premises (@p39 @p17) :args (@t7)) % 0.53/0.71 (step @p41 :rule cong :premises (@p40) :args (@t9)) % 0.53/0.71 (step @p42 :rule eq_resolve :premises (@p1 @p41)) % 0.53/0.71 (step @p43 :rule instantiate :premises (@p42) :args (@t31)) % 0.53/0.71 (step @p44 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.d tptp.b))) % 0.53/0.71 (step @p45 :rule cnf_or_pos :args (@t35)) % 0.53/0.71 (step @p46 :rule reordering :premises (@p45) :args ((or @t29 @t34 (not @t35)))) % 0.53/0.71 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p43) :args (@t34 @t36 (@list @t28 @t35))) % 0.53/0.71 (step @p48 :rule eq-symm :args (@t16 tptp.zero)) % 0.53/0.71 (step @p49 :rule cong :premises (@p48) :args (@t17)) % 0.53/0.71 (step @p50 :rule eq_resolve :premises (@p9 @p49)) % 0.53/0.71 (step @p51 :rule instantiate :premises (@p50) :args ((@list tptp.zero))) % 0.53/0.71 (step @p52 :rule symm :premises (@p51)) % 0.53/0.71 (step @p53 :rule instantiate :premises (@p42) :args ((@list @t19 tptp.d))) % 0.53/0.71 (step @p54 :rule cnf_or_pos :args (@t39)) % 0.53/0.71 (step @p55 :rule reordering :premises (@p54) :args ((or @t38 @t37 (not @t39)))) % 0.53/0.71 (step @p56 :rule chain_m_resolution :premises (@p55 @p13 @p53) :args (@t37 @t36 (@list @t20 @t39))) % 0.53/0.71 (step @p57 :rule symm :premises (@p56)) % 0.53/0.71 (step @p58 :rule cong :premises (@p57 @p57) :args ((tptp.divide @t25 @t25))) % 0.53/0.71 (step @p59 :rule trans :premises (@p58 @p52 @p47)) % 0.53/0.71 (step @p60 :rule symm :premises (@p58)) % 0.53/0.71 (step @p61 :rule trans :premises (@p57 @p51 @p60)) % 0.53/0.71 (step @p62 :rule trans :premises (@p61 @p59)) % 0.53/0.71 (step @p63 :rule cong :premises (@p62 @p38) :args (@t26)) % 0.53/0.71 (step @p64 :rule trans :premises (@p63 @p37)) % 0.53/0.71 (step @p65 :rule true_elim :premises (@p64)) % 0.53/0.71 (step @p66 :rule cnf_or_pos :args (@t33)) % 0.53/0.71 (step @p67 :rule reordering :premises (@p66) :args ((or @t29 @t27 @t32 (not @t33)))) % 0.53/0.71 (step @p68 :rule chain_m_resolution :premises (@p67 @p44 @p65 @p35) :args (@t32 (@list false false false) (@list @t28 @t26 @t33))) % 0.53/0.71 (step @p69 :rule trans :premises (@p56 @p68)) % 0.53/0.71 (step @p70 :rule cnf_or_pos :args (@t43)) % 0.53/0.71 (step @p71 :rule reordering :premises (@p70) :args ((or @t40 @t42 (not @t43)))) % 0.53/0.71 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p22) :args (@t40 @t36 (@list @t41 @t43))) % 0.53/0.71 (step @p73 :rule cnf_or_pos :args (@t47)) % 0.53/0.71 (step @p74 :rule reordering :premises (@p73) :args ((or @t22 @t46 @t45 @t48))) % 0.53/0.71 (step @p75 :rule chain_m_resolution :premises (@p74 @p14 @p72 @p15) :args (@t48 (@list true false false) (@list @t22 @t40 @t44))) % 0.53/0.71 (assume-push @p84 @t18) % 0.53/0.71 (step @p77 :rule instantiate :premises (@p12) :args ((@list @t21 @t23 tptp.b))) % 0.53/0.71 (step-pop @p85 :rule scope :premises (@p77)) % 0.53/0.71 (step @p78 :rule process_scope :premises (@p85) :args (@t47)) % 0.53/0.71 (step @p80 :rule implies_elim :premises (@p78)) % 0.53/0.71 (step @p81 false :rule chain_m_resolution :premises (@p80 @p75 @p12) :args (false (@list true false) (@list @t47 @t18))) % 0.53/0.71 ) % 0.53/0.71 % SZS output end Proof % 0.53/0.71 % cvc5 exiting %------------------------------------------------------------------------------