%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : HEN003-3 : 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 : n024.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 0.16s 0.37s % Output : Proof 0.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : HEN003-3 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.06 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Mon Jun 1 21:14:00 EDT 2026 % 0.07/0.25 % CPUTime : % 0.07/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.16/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.16/0.37 % SZS status Unsatisfiable % 0.16/0.37 % SZS output start Proof % 0.16/0.38 ( % 0.16/0.38 (declare-sort $$unsorted 0) % 0.16/0.38 (declare-const tptp.a $$unsorted) % 0.16/0.38 (declare-const tptp.less_equal (-> $$unsorted $$unsorted Bool)) % 0.16/0.38 (declare-const tptp.identity $$unsorted) % 0.16/0.38 (declare-const tptp.divide (-> $$unsorted $$unsorted $$unsorted)) % 0.16/0.38 (declare-const tptp.zero $$unsorted) % 0.16/0.38 (define @t1 () (@var "Y" $$unsorted)) % 0.16/0.38 (define @t2 () (@var "X" $$unsorted)) % 0.16/0.38 (define @t3 () (tptp.divide @t2 @t1)) % 0.16/0.38 (define @t4 () (= @t3 tptp.zero)) % 0.16/0.38 (define @t5 () (tptp.less_equal @t2 @t1)) % 0.16/0.38 (define @t6 () (not @t5)) % 0.16/0.38 (define @t7 () (or @t6 @t4)) % 0.16/0.38 (define @t8 () (@list @t2 @t1)) % 0.16/0.38 (define @t9 () (forall @t8 @t7)) % 0.16/0.38 (define @t10 () (not @t4)) % 0.16/0.38 (define @t11 () (or @t10 @t5)) % 0.16/0.38 (define @t12 () (forall @t8 @t11)) % 0.16/0.38 (define @t13 () (@var "Z" $$unsorted)) % 0.16/0.38 (define @t14 () (@list @t2)) % 0.16/0.38 (define @t15 () (forall @t8 (or @t6 (not (tptp.less_equal @t1 @t2)) (= @t2 @t1)))) % 0.16/0.38 (define @t16 () (tptp.divide tptp.a tptp.a)) % 0.16/0.38 (define @t17 () (tptp.divide @t16 tptp.a)) % 0.16/0.38 (define @t18 () (tptp.divide @t16 @t17)) % 0.16/0.38 (define @t19 () (tptp.divide tptp.a @t16)) % 0.16/0.38 (define @t20 () (tptp.divide @t19 tptp.a)) % 0.16/0.38 (define @t21 () (tptp.less_equal @t20 @t18)) % 0.16/0.38 (define @t22 () (not @t21)) % 0.16/0.38 (define @t23 () (tptp.less_equal @t18 @t20)) % 0.16/0.38 (define @t24 () (not @t23)) % 0.16/0.38 (define @t25 () (or @t24 @t22 (= @t18 @t20))) % 0.16/0.38 (define @t26 () (= @t20 @t18)) % 0.16/0.38 (define @t27 () (or @t24 @t22 @t26)) % 0.16/0.38 (define @t28 () (@list false)) % 0.16/0.38 (define @t29 () (@list @t15)) % 0.16/0.38 (define @t30 () (@list @t16 @t17)) % 0.16/0.38 (define @t31 () (tptp.less_equal @t16 @t17)) % 0.16/0.38 (define @t32 () (not @t31)) % 0.16/0.38 (define @t33 () (tptp.less_equal @t17 @t16)) % 0.16/0.38 (define @t34 () (not @t33)) % 0.16/0.38 (define @t35 () (= @t17 @t16)) % 0.16/0.38 (define @t36 () (or @t34 @t32 @t35)) % 0.16/0.38 (define @t37 () (= @t16 @t17)) % 0.16/0.38 (define @t38 () (or @t34 @t32 @t37)) % 0.16/0.38 (define @t39 () (@list @t16 tptp.a)) % 0.16/0.38 (define @t40 () (= tptp.zero @t17)) % 0.16/0.38 (define @t41 () (tptp.less_equal @t16 tptp.a)) % 0.16/0.38 (define @t42 () (not @t41)) % 0.16/0.38 (define @t43 () (or @t42 @t40)) % 0.16/0.38 (define @t44 () (@list false false)) % 0.16/0.38 (define @t45 () (not (= tptp.zero @t18))) % 0.16/0.38 (define @t46 () (or @t45 @t31)) % 0.16/0.38 (define @t47 () (= tptp.zero @t20)) % 0.16/0.38 (define @t48 () (tptp.less_equal @t19 tptp.a)) % 0.16/0.38 (define @t49 () (not @t48)) % 0.16/0.38 (define @t50 () (or @t49 @t47)) % 0.16/0.38 (define @t51 () (@list @t18 @t16)) % 0.16/0.38 (define @t52 () (= tptp.zero (tptp.divide @t18 @t16))) % 0.16/0.38 (define @t53 () (tptp.less_equal @t18 @t16)) % 0.16/0.38 (define @t54 () (not @t53)) % 0.16/0.38 (define @t55 () (or @t54 @t52)) % 0.16/0.38 (assume @p1 @t9) % 0.16/0.38 (assume @p2 @t12) % 0.16/0.38 (assume @p3 (forall @t8 (tptp.less_equal @t3 @t2))) % 0.16/0.38 (assume @p4 (forall (@list @t2 @t13 @t1) (tptp.less_equal (tptp.divide (tptp.divide @t2 @t13) (tptp.divide @t1 @t13)) (tptp.divide @t3 @t13)))) % 0.16/0.38 (assume @p5 (forall @t14 (tptp.less_equal tptp.zero @t2))) % 0.16/0.38 (assume @p6 @t15) % 0.16/0.38 (assume @p7 (forall @t14 (tptp.less_equal @t2 tptp.identity))) % 0.16/0.38 (assume @p8 (not (= @t16 tptp.zero))) % 0.16/0.38 (step @p9 :rule instantiate :premises (@p4) :args ((@list tptp.a tptp.a @t16))) % 0.16/0.38 (step @p10 :rule eq-symm :args (@t18 @t20)) % 0.16/0.38 (step @p11 :rule refl :args (@t22)) % 0.16/0.38 (step @p12 :rule refl :args (@t24)) % 0.16/0.38 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10) :args (@t25)) % 0.16/0.38 (step @p14 :rule refl :args (@t15)) % 0.16/0.38 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t15 @t25))) % 0.16/0.38 (assume-push @p99 @t15) % 0.16/0.38 (step @p17 :rule instantiate :premises (@p6) :args ((@list @t18 @t20))) % 0.16/0.38 (step-pop @p100 :rule scope :premises (@p17)) % 0.16/0.38 (step @p18 :rule process_scope :premises (@p100) :args (@t25)) % 0.16/0.38 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.16/0.38 (step @p21 :rule implies_elim :premises (@p20)) % 0.16/0.38 (step @p22 :rule chain_m_resolution :premises (@p21 @p6) :args (@t27 @t28 @t29)) % 0.16/0.38 (step @p23 :rule refl :args (@t5)) % 0.16/0.38 (step @p24 :rule eq-symm :args (@t3 tptp.zero)) % 0.16/0.38 (step @p25 :rule cong :premises (@p24) :args (@t10)) % 0.16/0.38 (step @p26 :rule nary_cong :premises (@p25 @p23) :args (@t11)) % 0.16/0.38 (step @p27 :rule cong :premises (@p26) :args (@t12)) % 0.16/0.38 (step @p28 :rule eq_resolve :premises (@p2 @p27)) % 0.16/0.38 (step @p29 :rule instantiate :premises (@p28) :args (@t30)) % 0.16/0.38 (step @p30 :rule eq-symm :args (@t17 @t16)) % 0.16/0.38 (step @p31 :rule refl :args (@t32)) % 0.16/0.38 (step @p32 :rule refl :args (@t34)) % 0.16/0.38 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t36)) % 0.16/0.38 (step @p34 :rule cong :premises (@p14 @p33) :args ((=> @t15 @t36))) % 0.16/0.38 (assume-push @p101 @t15) % 0.16/0.38 (step @p36 :rule instantiate :premises (@p6) :args ((@list @t17 @t16))) % 0.16/0.38 (step-pop @p102 :rule scope :premises (@p36)) % 0.16/0.38 (step @p37 :rule process_scope :premises (@p102) :args (@t36)) % 0.16/0.38 (step @p39 :rule eq_resolve :premises (@p37 @p34)) % 0.16/0.38 (step @p40 :rule implies_elim :premises (@p39)) % 0.16/0.38 (step @p41 :rule chain_m_resolution :premises (@p40 @p6) :args (@t38 @t28 @t29)) % 0.16/0.38 (step @p42 :rule bool-eq-false :args (@t37)) % 0.16/0.38 (step @p43 :rule symm :premises (@p42)) % 0.16/0.38 (step @p44 :rule cong :premises (@p30) :args ((not @t35))) % 0.16/0.38 (step @p45 :rule bool-eq-false :args (@t35)) % 0.16/0.38 (step @p46 :rule trans :premises (@p45 @p44)) % 0.16/0.38 (step @p47 :rule trans :premises (@p46 @p43)) % 0.16/0.38 (step @p48 :rule symm :premises (@p8)) % 0.16/0.38 (step @p49 :rule false_intro :premises (@p48)) % 0.16/0.38 (step @p50 :rule refl :args (@t16)) % 0.16/0.38 (step @p51 :rule refl :args (@t6)) % 0.16/0.38 (step @p52 :rule nary_cong :premises (@p51 @p24) :args (@t7)) % 0.16/0.38 (step @p53 :rule cong :premises (@p52) :args (@t9)) % 0.16/0.38 (step @p54 :rule eq_resolve :premises (@p1 @p53)) % 0.16/0.38 (step @p55 :rule instantiate :premises (@p54) :args (@t39)) % 0.16/0.38 (step @p56 :rule instantiate :premises (@p3) :args ((@list tptp.a tptp.a))) % 0.16/0.38 (step @p57 :rule cnf_or_pos :args (@t43)) % 0.16/0.38 (step @p58 :rule reordering :premises (@p57) :args ((or @t42 @t40 (not @t43)))) % 0.16/0.38 (step @p59 :rule chain_m_resolution :premises (@p58 @p56 @p55) :args (@t40 @t44 (@list @t41 @t43))) % 0.16/0.38 (step @p60 :rule symm :premises (@p59)) % 0.16/0.38 (step @p61 :rule cong :premises (@p60 @p50) :args (@t35)) % 0.16/0.38 (step @p62 :rule trans :premises (@p61 @p49)) % 0.16/0.38 (step @p63 :rule eq_resolve :premises (@p62 @p47)) % 0.16/0.38 (step @p64 :rule false_elim :premises (@p63)) % 0.16/0.38 (step @p65 :rule instantiate :premises (@p3) :args (@t39)) % 0.16/0.38 (step @p66 :rule cnf_or_pos :args (@t38)) % 0.16/0.38 (step @p67 :rule reordering :premises (@p66) :args ((or @t34 @t32 @t37 (not @t38)))) % 0.16/0.38 (step @p68 :rule chain_m_resolution :premises (@p67 @p65 @p64 @p41) :args (@t32 (@list false true false) (@list @t33 @t37 @t38))) % 0.16/0.38 (step @p69 :rule cnf_or_pos :args (@t46)) % 0.16/0.38 (step @p70 :rule reordering :premises (@p69) :args ((or @t31 @t45 (not @t46)))) % 0.16/0.38 (step @p71 :rule chain_m_resolution :premises (@p70 @p68 @p29) :args (@t45 (@list true false) (@list @t31 @t46))) % 0.16/0.38 (step @p72 :rule false_intro :premises (@p71)) % 0.16/0.38 (step @p73 :rule refl :args (@t18)) % 0.16/0.38 (step @p74 :rule instantiate :premises (@p54) :args ((@list @t19 tptp.a))) % 0.16/0.38 (step @p75 :rule instantiate :premises (@p3) :args ((@list tptp.a @t16))) % 0.16/0.38 (step @p76 :rule cnf_or_pos :args (@t50)) % 0.16/0.38 (step @p77 :rule reordering :premises (@p76) :args ((or @t49 @t47 (not @t50)))) % 0.16/0.38 (step @p78 :rule chain_m_resolution :premises (@p77 @p75 @p74) :args (@t47 @t44 (@list @t48 @t50))) % 0.16/0.38 (step @p79 :rule symm :premises (@p78)) % 0.16/0.38 (step @p80 :rule cong :premises (@p79 @p73) :args (@t26)) % 0.16/0.38 (step @p81 :rule trans :premises (@p80 @p72)) % 0.16/0.38 (step @p82 :rule false_elim :premises (@p81)) % 0.16/0.38 (step @p83 :rule instantiate :premises (@p3) :args (@t51)) % 0.16/0.38 (step @p84 :rule true_intro :premises (@p83)) % 0.16/0.38 (step @p85 :rule instantiate :premises (@p54) :args (@t51)) % 0.16/0.38 (step @p86 :rule instantiate :premises (@p3) :args (@t30)) % 0.16/0.38 (step @p87 :rule cnf_or_pos :args (@t55)) % 0.16/0.38 (step @p88 :rule reordering :premises (@p87) :args ((or @t54 @t52 (not @t55)))) % 0.16/0.38 (step @p89 :rule chain_m_resolution :premises (@p88 @p86 @p85) :args (@t52 @t44 (@list @t53 @t55))) % 0.16/0.38 (step @p90 :rule trans :premises (@p60 @p89)) % 0.16/0.38 (step @p91 :rule trans :premises (@p79 @p59)) % 0.16/0.38 (step @p92 :rule trans :premises (@p91 @p90)) % 0.16/0.38 (step @p93 :rule cong :premises (@p92 @p73) :args (@t21)) % 0.16/0.38 (step @p94 :rule trans :premises (@p93 @p84)) % 0.16/0.38 (step @p95 :rule true_elim :premises (@p94)) % 0.16/0.38 (step @p96 :rule cnf_or_pos :args (@t27)) % 0.16/0.38 (step @p97 :rule reordering :premises (@p96) :args ((or @t24 @t22 @t26 (not @t27)))) % 0.16/0.38 (step @p98 false :rule chain_m_resolution :premises (@p97 @p95 @p82 @p22 @p9) :args (false (@list false true false false) (@list @t21 @t26 @t27 @t23))) % 0.16/0.38 ) % 0.16/0.38 % SZS output end Proof % 0.16/0.38 % cvc5 exiting %------------------------------------------------------------------------------