%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN008-6 : 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 : n020.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 08:22:53 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN008-6 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n020.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 02:16:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Unsatisfiable % 0.36/0.56 % SZS output start Proof % 0.36/0.57 ( % 0.36/0.57 (declare-sort $$unsorted 0) % 0.36/0.57 (declare-const tptp.c $$unsorted) % 0.36/0.57 (declare-const tptp.a $$unsorted) % 0.36/0.57 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.36/0.57 (declare-const tptp.b $$unsorted) % 0.36/0.57 (declare-const tptp.identity $$unsorted) % 0.36/0.57 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.57 (declare-const tptp.zero $$unsorted) % 0.36/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.36/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.36/0.57 (define @t3 () (tptp.divide @t2 @t1)) % 0.36/0.57 (define @t4 () (= @t3 tptp.zero)) % 0.36/0.57 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.36/0.57 (define @t6 () (not @t5)) % 0.36/0.57 (define @t7 () (or @t6 @t4)) % 0.36/0.57 (define @t8 () (@list @t2 @t1)) % 0.36/0.57 (define @t9 () (forall @t8 @t7)) % 0.36/0.57 (define @t10 () (not @t4)) % 0.36/0.57 (define @t11 () (or @t10 @t5)) % 0.36/0.57 (define @t12 () (forall @t8 @t11)) % 0.36/0.57 (define @t13 () (@var "Z" $$unsorted)) % 0.36/0.57 (define @t14 () (@list @t2)) % 0.36/0.57 (define @t15 () (tptp.divide tptp.zero @t2)) % 0.36/0.57 (define @t16 () (forall @t14 (= @t15 tptp.zero))) % 0.36/0.57 (define @t17 () (tptp.less_equal tptp.a tptp.b)) % 0.36/0.57 (define @t18 () (tptp.divide tptp.b tptp.c)) % 0.36/0.57 (define @t19 () (tptp.divide tptp.a tptp.c)) % 0.36/0.57 (define @t20 () (tptp.less_equal @t19 @t18)) % 0.36/0.57 (define @t21 () (tptp.divide tptp.a tptp.b)) % 0.36/0.57 (define @t22 () (= tptp.zero @t21)) % 0.36/0.57 (define @t23 () (not @t17)) % 0.36/0.57 (define @t24 () (or @t23 @t22)) % 0.36/0.57 (define @t25 () (@list false false)) % 0.36/0.57 (define @t26 () (tptp.divide @t19 @t18)) % 0.36/0.57 (define @t27 () (= tptp.zero @t26)) % 0.36/0.57 (define @t28 () (not @t27)) % 0.36/0.57 (define @t29 () (or @t28 @t20)) % 0.36/0.57 (define @t30 () (@list tptp.c)) % 0.36/0.57 (define @t31 () (tptp.divide @t21 tptp.c)) % 0.36/0.57 (define @t32 () (@list @t26 @t31)) % 0.36/0.57 (define @t33 () (= tptp.zero (tptp.divide @t26 @t31))) % 0.36/0.57 (define @t34 () (tptp.less_equal @t26 @t31)) % 0.36/0.57 (define @t35 () (not @t34)) % 0.36/0.57 (define @t36 () (or @t35 @t33)) % 0.36/0.57 (define @t37 () (tptp.less_equal @t31 @t26)) % 0.36/0.57 (define @t38 () (= @t26 @t31)) % 0.36/0.57 (define @t39 () (not @t37)) % 0.36/0.57 (define @t40 () (or @t35 @t39 @t38)) % 0.36/0.57 (define @t41 () (tptp.divide tptp.zero tptp.c)) % 0.36/0.57 (define @t42 () (= tptp.zero @t41)) % 0.36/0.57 (define @t43 () (not @t42)) % 0.36/0.57 (define @t44 () (not @t38)) % 0.36/0.57 (define @t45 () (not @t22)) % 0.36/0.57 (define @t46 () (= tptp.zero @t31)) % 0.36/0.57 (define @t47 () (and @t22 @t46 @t38 @t28)) % 0.36/0.57 (assume @p1 @t9) % 0.36/0.57 (assume @p2 @t12) % 0.36/0.57 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 0.36/0.57 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 0.36/0.57 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 0.36/0.57 (assume @p6 (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.36/0.57 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 0.36/0.57 (assume @p8 (forall @t14 (= (tptp.divide @t2 tptp.identity) tptp.zero))) % 0.36/0.57 (assume @p9 @t16) % 0.36/0.57 (assume @p10 (forall @t14 (= (tptp.divide @t2 @t2) tptp.zero))) % 0.36/0.57 (assume @p11 @t17) % 0.36/0.57 (assume @p12 (not @t20)) % 0.36/0.57 (step @p13 :rule eq-symm :args (@t3 tptp.zero)) % 0.36/0.57 (step @p14 :rule refl :args (@t6)) % 0.36/0.57 (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t7)) % 0.36/0.57 (step @p16 :rule cong :premises (@p15) :args (@t9)) % 0.36/0.57 (step @p17 :rule eq_resolve :premises (@p1 @p16)) % 0.36/0.57 (step @p18 :rule instantiate :premises (@p17) :args ((@list tptp.a tptp.b))) % 0.36/0.57 (step @p19 :rule cnf_or_pos :args (@t24)) % 0.36/0.57 (step @p20 :rule reordering :premises (@p19) :args ((or @t23 @t22 (not @t24)))) % 0.36/0.57 (step @p21 :rule chain_m_resolution :premises (@p20 @p11 @p18) :args (@t22 @t25 (@list @t17 @t24))) % 0.36/0.57 (step @p22 :rule refl :args (@t5)) % 0.36/0.57 (step @p23 :rule cong :premises (@p13) :args (@t10)) % 0.36/0.57 (step @p24 :rule nary_cong :premises (@p23 @p22) :args (@t11)) % 0.36/0.57 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 0.36/0.57 (step @p26 :rule eq_resolve :premises (@p2 @p25)) % 0.36/0.57 (step @p27 :rule instantiate :premises (@p26) :args ((@list @t19 @t18))) % 0.36/0.57 (step @p28 :rule cnf_or_pos :args (@t29)) % 0.36/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t20 @t28 (not @t29)))) % 0.36/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p12 @p27) :args (@t28 (@list true false) (@list @t20 @t29))) % 0.36/0.57 (step @p31 :rule eq-symm :args (@t15 tptp.zero)) % 0.36/0.57 (step @p32 :rule cong :premises (@p31) :args (@t16)) % 0.36/0.57 (step @p33 :rule eq_resolve :premises (@p9 @p32)) % 0.36/0.57 (step @p34 :rule instantiate :premises (@p33) :args (@t30)) % 0.36/0.57 (step @p35 :rule instantiate :premises (@p6) :args (@t32)) % 0.36/0.57 (step @p36 :rule instantiate :premises (@p3) :args (@t32)) % 0.36/0.57 (step @p37 :rule true_intro :premises (@p36)) % 0.36/0.57 (step @p38 :rule refl :args (@t26)) % 0.36/0.57 (step @p39 :rule instantiate :premises (@p17) :args (@t32)) % 0.36/0.57 (step @p40 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.c tptp.b))) % 0.36/0.57 (step @p41 :rule cnf_or_pos :args (@t36)) % 0.36/0.57 (step @p42 :rule reordering :premises (@p41) :args ((or @t35 @t33 (not @t36)))) % 0.36/0.57 (step @p43 :rule chain_m_resolution :premises (@p42 @p40 @p39) :args (@t33 @t25 (@list @t34 @t36))) % 0.36/0.57 (step @p44 :rule symm :premises (@p21)) % 0.36/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.36/0.57 (step @p46 :rule symm :premises (@p34)) % 0.36/0.57 (step @p47 :rule refl :args (tptp.c)) % 0.36/0.57 (step @p48 :rule cong :premises (@p44 @p47) :args (@t31)) % 0.36/0.57 (step @p49 :rule trans :premises (@p48 @p46 @p21)) % 0.36/0.57 (step @p50 :rule trans :premises (@p49 @p45)) % 0.36/0.57 (step @p51 :rule cong :premises (@p50 @p38) :args (@t37)) % 0.36/0.57 (step @p52 :rule trans :premises (@p51 @p37)) % 0.36/0.57 (step @p53 :rule true_elim :premises (@p52)) % 0.36/0.57 (step @p54 :rule cnf_or_pos :args (@t40)) % 0.36/0.57 (step @p55 :rule reordering :premises (@p54) :args ((or @t35 @t39 @t38 (not @t40)))) % 0.36/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p40 @p53 @p35) :args (@t38 (@list false false false) (@list @t34 @t37 @t40))) % 0.36/0.57 (step @p57 :rule refl :args (@t43)) % 0.36/0.57 (step @p58 :rule refl :args (@t44)) % 0.36/0.57 (step @p59 :rule bool-double-not-elim :args (@t27)) % 0.36/0.57 (step @p60 :rule refl :args (@t45)) % 0.36/0.57 (step @p61 :rule nary_cong :premises (@p60 @p59 @p58 @p57) :args ((or @t45 (not @t28) @t44 @t43))) % 0.36/0.57 (assume-push @p101 @t22) % 0.36/0.57 (assume-push @p102 @t46) % 0.36/0.57 (assume-push @p103 @t38) % 0.36/0.57 (assume-push @p104 @t28) % 0.36/0.57 (step @p66 :rule evaluate :args ((= false true))) % 0.36/0.57 (step @p67 :rule cong :premises (@p21 @p47) :args (@t41)) % 0.36/0.57 (step @p68 :rule instantiate :premises (@p33) :args (@t30)) % 0.36/0.57 (step @p69 :rule trans :premises (@p68 @p67)) % 0.36/0.57 (step @p70 :rule symm :premises (@p69)) % 0.36/0.57 (step @p71 :rule trans :premises (@p56 @p70 @p21)) % 0.36/0.57 (step @p72 :rule symm :premises (@p71)) % 0.36/0.57 (step @p73 :rule trans :premises (@p21 @p72)) % 0.36/0.57 (step @p74 :rule true_intro :premises (@p73)) % 0.36/0.57 (step @p75 :rule false_intro :premises (@p30)) % 0.36/0.57 (step @p76 :rule symm :premises (@p75)) % 0.36/0.57 (step @p77 :rule trans :premises (@p76 @p74)) % 0.36/0.57 (step @p78 false :rule eq_resolve :premises (@p77 @p66)) % 0.36/0.57 (step-pop @p105 :rule scope :premises (@p78)) % 0.36/0.57 (step-pop @p106 :rule scope :premises (@p105)) % 0.36/0.57 (step-pop @p107 :rule scope :premises (@p106)) % 0.36/0.57 (step-pop @p108 :rule scope :premises (@p107)) % 0.36/0.57 (step @p79 :rule process_scope :premises (@p108) :args (false)) % 0.36/0.57 (assume-push @p109 @t22) % 0.36/0.57 (assume-push @p110 @t28) % 0.36/0.57 (assume-push @p111 @t38) % 0.36/0.57 (assume-push @p112 @t42) % 0.36/0.57 (step @p67 :rule cong :premises (@p21 @p47) :args (@t41)) % 0.36/0.57 (step @p88 :rule trans :premises (@p34 @p67)) % 0.36/0.57 (step @p89 :rule and_intro :premises (@p21 @p88 @p56 @p30)) % 0.36/0.57 (step-pop @p113 :rule scope :premises (@p89)) % 0.36/0.57 (step-pop @p114 :rule scope :premises (@p113)) % 0.36/0.57 (step-pop @p115 :rule scope :premises (@p114)) % 0.36/0.57 (step-pop @p116 :rule scope :premises (@p115)) % 0.36/0.57 (step @p90 :rule process_scope :premises (@p116) :args (@t47)) % 0.36/0.57 (step @p95 :rule implies_elim :premises (@p90)) % 0.36/0.57 (step @p96 :rule resolution :premises (@p95 @p79) :args (true @t47)) % 0.36/0.57 (step @p97 :rule not_and :premises (@p96)) % 0.36/0.57 (step @p98 :rule eq_resolve :premises (@p97 @p61)) % 0.36/0.57 (step @p99 :rule reordering :premises (@p98) :args ((or @t27 @t45 @t44 @t43))) % 0.36/0.57 (step @p100 false :rule chain_m_resolution :premises (@p99 @p56 @p34 @p30 @p21) :args (false (@list false false true false) (@list @t38 @t42 @t27 @t22))) % 0.36/0.57 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------