%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN008-3 : 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 : 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 08:22:53 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : HEN008-3 : TPTP v9.2.1. Released v1.0.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n005.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 02:15:33 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----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... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.c $$unsorted) % 0.39/0.57 (declare-const tptp.a $$unsorted) % 0.39/0.57 (declare-const tptp.b $$unsorted) % 0.39/0.57 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.identity $$unsorted) % 0.39/0.57 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.zero $$unsorted) % 0.39/0.57 (define @t1 () (@var "Y" $$unsorted)) % 0.39/0.57 (define @t2 () (@var "X" $$unsorted)) % 0.39/0.57 (define @t3 () (tptp.divide @t2 @t1)) % 0.39/0.57 (define @t4 () (= @t3 tptp.zero)) % 0.39/0.57 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.39/0.57 (define @t6 () (not @t5)) % 0.39/0.57 (define @t7 () (or @t6 @t4)) % 0.39/0.57 (define @t8 () (@list @t2 @t1)) % 0.39/0.57 (define @t9 () (forall @t8 @t7)) % 0.39/0.57 (define @t10 () (not @t4)) % 0.39/0.57 (define @t11 () (or @t10 @t5)) % 0.39/0.57 (define @t12 () (forall @t8 @t11)) % 0.39/0.57 (define @t13 () (@var "Z" $$unsorted)) % 0.39/0.57 (define @t14 () (@list @t2)) % 0.39/0.57 (define @t15 () (tptp.less_equal tptp.a tptp.b)) % 0.39/0.57 (define @t16 () (tptp.divide tptp.b tptp.c)) % 0.39/0.57 (define @t17 () (tptp.divide tptp.a tptp.c)) % 0.39/0.57 (define @t18 () (tptp.less_equal @t17 @t16)) % 0.39/0.57 (define @t19 () (tptp.divide tptp.a tptp.b)) % 0.39/0.57 (define @t20 () (= tptp.zero @t19)) % 0.39/0.57 (define @t21 () (not @t15)) % 0.39/0.57 (define @t22 () (or @t21 @t20)) % 0.39/0.57 (define @t23 () (@list false false)) % 0.39/0.57 (define @t24 () (tptp.less_equal @t19 tptp.c)) % 0.39/0.57 (define @t25 () (tptp.divide @t19 tptp.c)) % 0.39/0.57 (define @t26 () (= tptp.zero @t25)) % 0.39/0.57 (define @t27 () (not @t24)) % 0.39/0.57 (define @t28 () (or @t27 @t26)) % 0.39/0.57 (define @t29 () (tptp.divide @t17 @t16)) % 0.39/0.57 (define @t30 () (@list @t29 @t25)) % 0.39/0.57 (define @t31 () (@list @t29 @t17)) % 0.39/0.57 (define @t32 () (@list @t17 @t16)) % 0.39/0.57 (define @t33 () (= tptp.zero (tptp.divide @t29 @t17))) % 0.39/0.57 (define @t34 () (tptp.less_equal @t29 @t17)) % 0.39/0.57 (define @t35 () (not @t34)) % 0.39/0.57 (define @t36 () (or @t35 @t33)) % 0.39/0.57 (define @t37 () (tptp.divide @t29 @t25)) % 0.39/0.57 (define @t38 () (= tptp.zero @t37)) % 0.39/0.57 (define @t39 () (tptp.less_equal @t29 @t25)) % 0.39/0.57 (define @t40 () (not @t39)) % 0.39/0.57 (define @t41 () (or @t40 @t38)) % 0.39/0.57 (define @t42 () (tptp.less_equal @t25 @t29)) % 0.39/0.57 (define @t43 () (= @t29 @t25)) % 0.39/0.57 (define @t44 () (not @t42)) % 0.39/0.57 (define @t45 () (or @t40 @t44 @t43)) % 0.39/0.57 (define @t46 () (not (= tptp.zero @t29))) % 0.39/0.57 (define @t47 () (or @t46 @t18)) % 0.39/0.57 (assume @p1 @t9) % 0.39/0.57 (assume @p2 @t12) % 0.39/0.57 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 0.39/0.57 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 0.39/0.57 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 0.39/0.57 (assume @p6 (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.39/0.57 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 0.39/0.57 (assume @p8 @t15) % 0.39/0.57 (assume @p9 (not @t18)) % 0.39/0.57 (step @p10 :rule evaluate :args ((= false true))) % 0.39/0.57 (step @p11 :rule eq-symm :args (@t3 tptp.zero)) % 0.39/0.57 (step @p12 :rule refl :args (@t6)) % 0.39/0.57 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t7)) % 0.39/0.57 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 0.39/0.57 (step @p15 :rule eq_resolve :premises (@p1 @p14)) % 0.39/0.57 (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.a tptp.b))) % 0.39/0.57 (step @p17 :rule cnf_or_pos :args (@t22)) % 0.39/0.57 (step @p18 :rule reordering :premises (@p17) :args ((or @t21 @t20 (not @t22)))) % 0.39/0.57 (step @p19 :rule chain_m_resolution :premises (@p18 @p8 @p16) :args (@t20 @t23 (@list @t15 @t22))) % 0.39/0.57 (step @p20 :rule instantiate :premises (@p15) :args ((@list @t19 tptp.c))) % 0.39/0.57 (step @p21 :rule instantiate :premises (@p5) :args ((@list tptp.c))) % 0.39/0.57 (step @p22 :rule true_intro :premises (@p21)) % 0.39/0.57 (step @p23 :rule refl :args (tptp.c)) % 0.39/0.57 (step @p24 :rule symm :premises (@p19)) % 0.39/0.57 (step @p25 :rule cong :premises (@p24 @p23) :args (@t24)) % 0.39/0.57 (step @p26 :rule trans :premises (@p25 @p22)) % 0.39/0.57 (step @p27 :rule true_elim :premises (@p26)) % 0.39/0.57 (step @p28 :rule cnf_or_pos :args (@t28)) % 0.39/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t27 @t26 (not @t28)))) % 0.39/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p20) :args (@t26 @t23 (@list @t24 @t28))) % 0.39/0.57 (step @p31 :rule symm :premises (@p30)) % 0.39/0.57 (step @p32 :rule instantiate :premises (@p6) :args (@t30)) % 0.39/0.57 (step @p33 :rule instantiate :premises (@p3) :args (@t31)) % 0.39/0.57 (step @p34 :rule true_intro :premises (@p33)) % 0.39/0.57 (step @p35 :rule refl :args (@t29)) % 0.39/0.57 (step @p36 :rule instantiate :premises (@p15) :args (@t31)) % 0.39/0.57 (step @p37 :rule instantiate :premises (@p3) :args (@t32)) % 0.39/0.57 (step @p38 :rule cnf_or_pos :args (@t36)) % 0.39/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t35 @t33 (not @t36)))) % 0.39/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p37 @p36) :args (@t33 @t23 (@list @t34 @t36))) % 0.39/0.57 (step @p41 :rule trans :premises (@p24 @p40)) % 0.39/0.57 (step @p42 :rule instantiate :premises (@p15) :args (@t30)) % 0.39/0.57 (step @p43 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.c tptp.b))) % 0.39/0.57 (step @p44 :rule cnf_or_pos :args (@t41)) % 0.39/0.57 (step @p45 :rule reordering :premises (@p44) :args ((or @t40 @t38 (not @t41)))) % 0.39/0.57 (step @p46 :rule chain_m_resolution :premises (@p45 @p43 @p42) :args (@t38 @t23 (@list @t39 @t41))) % 0.39/0.57 (step @p47 :rule symm :premises (@p46)) % 0.39/0.57 (step @p48 :rule trans :premises (@p47 @p19)) % 0.39/0.57 (step @p49 :rule trans :premises (@p48 @p41)) % 0.39/0.57 (step @p50 :rule cong :premises (@p49 @p35) :args ((tptp.less_equal @t37 @t29))) % 0.39/0.57 (step @p51 :rule symm :premises (@p48)) % 0.39/0.57 (step @p52 :rule trans :premises (@p31 @p19)) % 0.39/0.57 (step @p53 :rule trans :premises (@p52 @p51)) % 0.39/0.57 (step @p54 :rule cong :premises (@p53 @p35) :args (@t42)) % 0.39/0.57 (step @p55 :rule trans :premises (@p54 @p50 @p34)) % 0.39/0.57 (step @p56 :rule true_elim :premises (@p55)) % 0.39/0.57 (step @p57 :rule cnf_or_pos :args (@t45)) % 0.39/0.57 (step @p58 :rule reordering :premises (@p57) :args ((or @t40 @t44 @t43 (not @t45)))) % 0.39/0.57 (step @p59 :rule chain_m_resolution :premises (@p58 @p43 @p56 @p32) :args (@t43 (@list false false false) (@list @t39 @t42 @t45))) % 0.39/0.57 (step @p60 :rule trans :premises (@p59 @p31 @p19)) % 0.39/0.57 (step @p61 :rule symm :premises (@p60)) % 0.39/0.57 (step @p62 :rule trans :premises (@p19 @p61)) % 0.39/0.57 (step @p63 :rule true_intro :premises (@p62)) % 0.39/0.57 (step @p64 :rule refl :args (@t5)) % 0.39/0.57 (step @p65 :rule cong :premises (@p11) :args (@t10)) % 0.39/0.57 (step @p66 :rule nary_cong :premises (@p65 @p64) :args (@t11)) % 0.39/0.57 (step @p67 :rule cong :premises (@p66) :args (@t12)) % 0.39/0.57 (step @p68 :rule eq_resolve :premises (@p2 @p67)) % 0.39/0.57 (step @p69 :rule instantiate :premises (@p68) :args (@t32)) % 0.39/0.57 (step @p70 :rule cnf_or_pos :args (@t47)) % 0.39/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t18 @t46 (not @t47)))) % 0.39/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p9 @p69) :args (@t46 (@list true false) (@list @t18 @t47))) % 0.39/0.57 (step @p73 :rule false_intro :premises (@p72)) % 0.39/0.57 (step @p74 :rule symm :premises (@p73)) % 0.39/0.57 (step @p75 :rule trans :premises (@p74 @p63)) % 0.39/0.57 (step @p76 false :rule eq_resolve :premises (@p75 @p10)) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------