%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA023-10 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:06:33 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA023-10 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n017.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 : Wed Jun 3 02:17:46 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_k (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.ifeq2 (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_x $$unsorted) % 0.38/0.57 (declare-const tptp.c_0 $$unsorted) % 0.38/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.true $$unsorted) % 0.38/0.57 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.t_b $$unsorted) % 0.38/0.57 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.38/0.57 (define @t1 () (@var "B" $$unsorted)) % 0.38/0.57 (define @t2 () (@var "C" $$unsorted)) % 0.38/0.57 (define @t3 () (@var "A" $$unsorted)) % 0.38/0.57 (define @t4 () (@list @t3 @t1 @t2)) % 0.38/0.57 (define @t5 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.38/0.57 (define @t6 () (forall @t4 (= @t5 @t1))) % 0.38/0.57 (define @t7 () (@var "V_y" $$unsorted)) % 0.38/0.57 (define @t8 () (@var "T_a" $$unsorted)) % 0.38/0.57 (define @t9 () (@var "V_c" $$unsorted)) % 0.38/0.57 (define @t10 () (@var "V_b" $$unsorted)) % 0.38/0.57 (define @t11 () (@var "V_a" $$unsorted)) % 0.38/0.57 (define @t12 () (tptp.c_lessequals (tptp.c_plus @t11 @t10 @t8) @t9 @t8)) % 0.38/0.57 (define @t13 () (tptp.c_lessequals @t11 (tptp.c_minus @t9 @t10 @t8) @t8)) % 0.38/0.57 (define @t14 () (tptp.class_OrderedGroup_Opordered__ab__group__add @t8)) % 0.38/0.57 (define @t15 () (tptp.ifeq @t14 tptp.true (tptp.ifeq @t13 tptp.true @t12 tptp.true) tptp.true)) % 0.38/0.57 (define @t16 () (forall (@list @t8 @t11 @t9 @t10) (= @t15 tptp.true))) % 0.38/0.57 (define @t17 () (tptp.ifeq @t14 tptp.true (tptp.ifeq @t12 tptp.true @t13 tptp.true) tptp.true)) % 0.38/0.57 (define @t18 () (forall (@list @t8 @t11 @t10 @t9) (= @t17 tptp.true))) % 0.38/0.57 (define @t19 () (@var "V_z" $$unsorted)) % 0.38/0.57 (define @t20 () (@var "V_x" $$unsorted)) % 0.38/0.57 (define @t21 () (tptp.ifeq (tptp.class_Orderings_Oorder @t8) tptp.true (tptp.ifeq (tptp.c_lessequals @t20 @t7 @t8) tptp.true (tptp.ifeq (tptp.c_lessequals @t7 @t19 @t8) tptp.true (tptp.c_lessequals @t20 @t19 @t8) tptp.true) tptp.true) tptp.true)) % 0.38/0.57 (define @t22 () (forall (@list @t8 @t20 @t7 @t19) (= @t21 tptp.true))) % 0.38/0.57 (define @t23 () (tptp.v_g tptp.v_x)) % 0.38/0.57 (define @t24 () (tptp.v_k tptp.v_x)) % 0.38/0.57 (define @t25 () (tptp.v_f tptp.v_x)) % 0.38/0.57 (define @t26 () (tptp.c_lessequals @t24 @t25 tptp.t_b)) % 0.38/0.57 (define @t27 () (tptp.c_lessequals tptp.c_0 (tptp.c_minus @t25 @t23 tptp.t_b) tptp.t_b)) % 0.38/0.57 (define @t28 () (@var "T" $$unsorted)) % 0.38/0.57 (define @t29 () (tptp.class_Orderings_Olinorder @t28)) % 0.38/0.57 (define @t30 () (tptp.ifeq @t29 tptp.true (tptp.class_Orderings_Oorder @t28) tptp.true)) % 0.38/0.57 (define @t31 () (@list @t28)) % 0.38/0.57 (define @t32 () (forall @t31 (= @t30 tptp.true))) % 0.38/0.57 (define @t33 () (tptp.class_Ring__and__Field_Oordered__idom @t28)) % 0.38/0.57 (define @t34 () (tptp.ifeq @t33 tptp.true @t29 tptp.true)) % 0.38/0.57 (define @t35 () (forall @t31 (= @t34 tptp.true))) % 0.38/0.57 (define @t36 () (tptp.ifeq @t33 tptp.true (tptp.class_OrderedGroup_Opordered__ab__group__add @t28) tptp.true)) % 0.38/0.57 (define @t37 () (forall @t31 (= @t36 tptp.true))) % 0.38/0.57 (define @t38 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.38/0.57 (define @t39 () (tptp.ifeq tptp.true tptp.true @t27 tptp.true)) % 0.38/0.57 (define @t40 () (= @t27 @t39)) % 0.38/0.57 (define @t41 () (= @t39 @t27)) % 0.38/0.57 (define @t42 () (tptp.c_plus tptp.c_0 @t23 tptp.t_b)) % 0.38/0.57 (define @t43 () (tptp.c_lessequals @t42 @t25 tptp.t_b)) % 0.38/0.57 (define @t44 () (tptp.ifeq @t43 tptp.true @t27 tptp.true)) % 0.38/0.57 (define @t45 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) % 0.38/0.57 (define @t46 () (@list tptp.t_b)) % 0.38/0.57 (define @t47 () (tptp.ifeq @t26 tptp.true @t43 tptp.true)) % 0.38/0.57 (define @t48 () (tptp.c_lessequals @t42 @t24 tptp.t_b)) % 0.38/0.57 (define @t49 () (tptp.ifeq tptp.true tptp.true @t48 tptp.true)) % 0.38/0.57 (define @t50 () (tptp.ifeq @t48 tptp.true @t47 tptp.true)) % 0.38/0.57 (define @t51 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.38/0.57 (define @t52 () (tptp.class_Orderings_Olinorder tptp.t_b)) % 0.38/0.57 (define @t53 () (forall @t4 (= @t1 @t5))) % 0.38/0.57 (assume @p1 (forall @t4 (= (tptp.ifeq2 @t3 @t3 @t1 @t2) @t1))) % 0.38/0.57 (assume @p2 @t6) % 0.38/0.57 (assume @p3 (forall (@list @t8 @t7) (= (tptp.ifeq2 (tptp.class_OrderedGroup_Ocomm__monoid__add @t8) tptp.true (tptp.c_plus tptp.c_0 @t7 @t8) @t7) @t7))) % 0.38/0.57 (assume @p4 @t16) % 0.38/0.57 (assume @p5 @t18) % 0.38/0.57 (assume @p6 @t22) % 0.38/0.57 (assume @p7 (= (tptp.c_lessequals tptp.c_0 (tptp.c_minus @t24 @t23 tptp.t_b) tptp.t_b) tptp.true)) % 0.38/0.57 (assume @p8 (= @t26 tptp.true)) % 0.38/0.57 (assume @p9 (not (= @t27 tptp.true))) % 0.38/0.57 (assume @p10 @t32) % 0.38/0.57 (assume @p11 (forall @t31 (= (tptp.ifeq @t33 tptp.true (tptp.class_OrderedGroup_Ocomm__monoid__add @t28) tptp.true) tptp.true))) % 0.38/0.57 (assume @p12 @t35) % 0.38/0.57 (assume @p13 @t37) % 0.38/0.57 (assume @p14 (= @t38 tptp.true)) % 0.38/0.57 (step @p15 :rule eq-symm :args (@t5 @t1)) % 0.38/0.57 (step @p16 :rule cong :premises (@p15) :args (@t6)) % 0.38/0.57 (step @p17 :rule eq_resolve :premises (@p2 @p16)) % 0.38/0.57 (step @p18 :rule bool-eq-false :args (@t40)) % 0.38/0.57 (step @p19 :rule symm :premises (@p18)) % 0.38/0.57 (step @p20 :rule eq-symm :args (@t39 @t27)) % 0.38/0.57 (step @p21 :rule cong :premises (@p20) :args ((not @t41))) % 0.38/0.57 (step @p22 :rule bool-eq-false :args (@t41)) % 0.38/0.57 (step @p23 :rule trans :premises (@p22 @p21)) % 0.38/0.57 (step @p24 :rule trans :premises (@p23 @p19)) % 0.38/0.57 (step @p25 :rule symm :premises (@p9)) % 0.38/0.57 (step @p26 :rule false_intro :premises (@p25)) % 0.38/0.57 (step @p27 :rule refl :args (@t27)) % 0.38/0.57 (step @p28 :rule eq-symm :args (@t17 tptp.true)) % 0.38/0.57 (step @p29 :rule cong :premises (@p28) :args (@t18)) % 0.38/0.57 (step @p30 :rule eq_resolve :premises (@p5 @p29)) % 0.38/0.57 (step @p31 :rule instantiate :premises (@p30) :args ((@list tptp.t_b tptp.c_0 @t23 @t25))) % 0.38/0.57 (step @p32 :rule symm :premises (@p31)) % 0.38/0.57 (step @p33 :rule refl :args (tptp.true)) % 0.38/0.57 (step @p34 :rule refl :args (@t44)) % 0.38/0.57 (step @p35 :rule instantiate :premises (@p17) :args ((@list tptp.true @t45 tptp.true))) % 0.38/0.57 (step @p36 :rule symm :premises (@p35)) % 0.38/0.57 (step @p37 :rule refl :args (@t45)) % 0.38/0.57 (step @p38 :rule cong :premises (@p14 @p33 @p37 @p33) :args ((tptp.ifeq @t38 tptp.true @t45 tptp.true))) % 0.38/0.57 (step @p39 :rule eq-symm :args (@t36 tptp.true)) % 0.38/0.57 (step @p40 :rule cong :premises (@p39) :args (@t37)) % 0.38/0.57 (step @p41 :rule eq_resolve :premises (@p13 @p40)) % 0.38/0.57 (step @p42 :rule instantiate :premises (@p41) :args (@t46)) % 0.38/0.57 (step @p43 :rule trans :premises (@p7 @p42 @p38 @p36)) % 0.38/0.57 (step @p44 :rule symm :premises (@p7)) % 0.38/0.57 (step @p45 :rule trans :premises (@p44 @p43)) % 0.38/0.57 (step @p46 :rule cong :premises (@p45 @p33 @p34 @p33) :args ((tptp.ifeq tptp.true tptp.true @t44 tptp.true))) % 0.38/0.57 (step @p47 :rule instantiate :premises (@p17) :args ((@list tptp.true @t44 tptp.true))) % 0.38/0.57 (step @p48 :rule instantiate :premises (@p17) :args ((@list tptp.true @t43 tptp.true))) % 0.38/0.57 (step @p49 :rule symm :premises (@p48)) % 0.38/0.57 (step @p50 :rule refl :args (@t43)) % 0.38/0.57 (step @p51 :rule cong :premises (@p8 @p33 @p50 @p33) :args (@t47)) % 0.38/0.57 (step @p52 :rule trans :premises (@p51 @p49)) % 0.38/0.57 (step @p53 :rule symm :premises (@p51)) % 0.38/0.57 (step @p54 :rule cong :premises (@p33 @p33 @p52 @p33) :args ((tptp.ifeq tptp.true tptp.true @t47 tptp.true))) % 0.38/0.57 (step @p55 :rule refl :args (@t47)) % 0.38/0.57 (step @p56 :rule eq-symm :args (@t15 tptp.true)) % 0.38/0.57 (step @p57 :rule cong :premises (@p56) :args (@t16)) % 0.38/0.57 (step @p58 :rule eq_resolve :premises (@p4 @p57)) % 0.38/0.57 (step @p59 :rule instantiate :premises (@p58) :args ((@list tptp.t_b tptp.c_0 @t24 @t23))) % 0.38/0.57 (step @p60 :rule symm :premises (@p59)) % 0.38/0.57 (step @p61 :rule refl :args (@t48)) % 0.38/0.57 (step @p62 :rule cong :premises (@p44 @p33 @p61 @p33) :args (@t49)) % 0.38/0.57 (step @p63 :rule instantiate :premises (@p17) :args ((@list tptp.true @t48 tptp.true))) % 0.38/0.57 (step @p64 :rule trans :premises (@p63 @p62)) % 0.38/0.57 (step @p65 :rule cong :premises (@p45 @p33 @p64 @p33) :args (@t49)) % 0.38/0.57 (step @p66 :rule trans :premises (@p63 @p65 @p60 @p44)) % 0.38/0.57 (step @p67 :rule trans :premises (@p66 @p7)) % 0.38/0.57 (step @p68 :rule cong :premises (@p67 @p33 @p55 @p33) :args (@t50)) % 0.38/0.57 (step @p69 :rule trans :premises (@p68 @p54 @p53)) % 0.38/0.57 (step @p70 :rule trans :premises (@p69 @p52)) % 0.38/0.57 (step @p71 :rule cong :premises (@p33 @p33 @p70 @p33) :args ((tptp.ifeq tptp.true tptp.true @t50 tptp.true))) % 0.38/0.57 (step @p72 :rule refl :args (@t50)) % 0.38/0.57 (step @p73 :rule eq-symm :args (@t30 tptp.true)) % 0.38/0.57 (step @p74 :rule cong :premises (@p73) :args (@t32)) % 0.38/0.57 (step @p75 :rule eq_resolve :premises (@p10 @p74)) % 0.38/0.57 (step @p76 :rule instantiate :premises (@p75) :args (@t46)) % 0.38/0.57 (step @p77 :rule symm :premises (@p76)) % 0.38/0.57 (step @p78 :rule refl :args (@t51)) % 0.38/0.57 (step @p79 :rule instantiate :premises (@p17) :args ((@list tptp.true @t52 tptp.true))) % 0.38/0.57 (step @p80 :rule symm :premises (@p79)) % 0.38/0.57 (step @p81 :rule refl :args (@t52)) % 0.38/0.57 (step @p82 :rule cong :premises (@p14 @p33 @p81 @p33) :args ((tptp.ifeq @t38 tptp.true @t52 tptp.true))) % 0.38/0.57 (step @p83 :rule eq-symm :args (@t34 tptp.true)) % 0.38/0.57 (step @p84 :rule cong :premises (@p83) :args (@t35)) % 0.38/0.57 (step @p85 :rule eq_resolve :premises (@p12 @p84)) % 0.38/0.57 (step @p86 :rule instantiate :premises (@p85) :args (@t46)) % 0.38/0.57 (step @p87 :rule trans :premises (@p7 @p86 @p82 @p80)) % 0.38/0.57 (step @p88 :rule trans :premises (@p44 @p87)) % 0.38/0.57 (step @p89 :rule cong :premises (@p88 @p33 @p78 @p33) :args ((tptp.ifeq tptp.true tptp.true @t51 tptp.true))) % 0.38/0.57 (step @p90 :rule instantiate :premises (@p17) :args ((@list tptp.true @t51 tptp.true))) % 0.38/0.57 (step @p91 :rule trans :premises (@p90 @p89 @p77 @p44)) % 0.38/0.57 (step @p92 :rule trans :premises (@p91 @p7)) % 0.38/0.57 (step @p93 :rule cong :premises (@p92 @p33 @p72 @p33) :args ((tptp.ifeq @t51 tptp.true @t50 tptp.true))) % 0.38/0.57 (step @p94 :rule eq-symm :args (@t21 tptp.true)) % 0.38/0.57 (step @p95 :rule cong :premises (@p94) :args (@t22)) % 0.38/0.57 (step @p96 :rule eq_resolve :premises (@p6 @p95)) % 0.38/0.57 (step @p97 :rule instantiate :premises (@p96) :args ((@list tptp.t_b @t42 @t24 @t25))) % 0.38/0.57 (step @p98 :rule trans :premises (@p7 @p97 @p93 @p71 @p49)) % 0.38/0.57 (step @p99 :rule trans :premises (@p44 @p98)) % 0.38/0.57 (step @p100 :rule cong :premises (@p99 @p33 @p27 @p33) :args (@t39)) % 0.38/0.57 (step @p101 :rule trans :premises (@p100 @p47 @p46 @p32)) % 0.38/0.57 (step @p102 :rule cong :premises (@p101 @p27) :args (@t41)) % 0.38/0.57 (step @p103 :rule trans :premises (@p102 @p26)) % 0.38/0.57 (step @p104 :rule eq_resolve :premises (@p103 @p24)) % 0.38/0.57 (step @p105 :rule false_elim :premises (@p104)) % 0.38/0.57 (assume-push @p112 @t53) % 0.38/0.57 (step @p107 :rule instantiate :premises (@p17) :args ((@list tptp.true @t27 tptp.true))) % 0.38/0.57 (step-pop @p113 :rule scope :premises (@p107)) % 0.38/0.57 (step @p108 :rule process_scope :premises (@p113) :args (@t40)) % 0.38/0.57 (step @p110 :rule implies_elim :premises (@p108)) % 0.38/0.57 (step @p111 false :rule chain_m_resolution :premises (@p110 @p105 @p17) :args (false (@list true false) (@list @t40 @t53))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------