%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA020-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/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 08:06:33 AM UTC 2026 % Result : Unsatisfiable 0.15s 0.35s % Output : Proof 0.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : ANA020-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n024.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 21:18:15 EDT 2026 % 0.06/0.25 % CPUTime : % 0.06/0.32 %----Proving TF0_NAR, FOF, or CNF % 0.15/0.33 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.15/0.35 % SZS status Unsatisfiable % 0.15/0.35 % SZS output start Proof % 0.15/0.36 ( % 0.15/0.36 (declare-sort $$unsorted 0) % 0.15/0.36 (declare-const tptp.c_0 $$unsorted) % 0.15/0.36 (declare-const tptp.t_a $$unsorted) % 0.15/0.36 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.v_c $$unsorted) % 0.15/0.36 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.v_x $$unsorted) % 0.15/0.36 (declare-const tptp.v_h (-> $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.15/0.36 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.15/0.36 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.15/0.36 (define @t1 () (tptp.v_f tptp.c_0)) % 0.15/0.36 (define @t2 () (tptp.c_less tptp.c_0 tptp.v_c tptp.t_a)) % 0.15/0.36 (define @t3 () (tptp.v_h tptp.v_x)) % 0.15/0.36 (define @t4 () (tptp.c_HOL_Oabs @t3 tptp.t_a)) % 0.15/0.36 (define @t5 () (tptp.c_times tptp.v_c @t4 tptp.t_a)) % 0.15/0.36 (define @t6 () (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f tptp.v_x) tptp.t_a) @t5 tptp.t_a)) % 0.15/0.36 (define @t7 () (not @t6)) % 0.15/0.36 (define @t8 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_a)) % 0.15/0.36 (define @t9 () (@var "T_a" $$unsorted)) % 0.15/0.36 (define @t10 () (tptp.c_HOL_Oabs tptp.c_0 @t9)) % 0.15/0.36 (define @t11 () (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t9))) % 0.15/0.36 (define @t12 () (or @t11 (= @t10 tptp.c_0))) % 0.15/0.36 (define @t13 () (forall (@list @t9) @t12)) % 0.15/0.36 (define @t14 () (@var "V_a" $$unsorted)) % 0.15/0.36 (define @t15 () (@var "V_y" $$unsorted)) % 0.15/0.36 (define @t16 () (@var "V_x" $$unsorted)) % 0.15/0.36 (define @t17 () (@var "V_b" $$unsorted)) % 0.15/0.36 (define @t18 () (@var "T" $$unsorted)) % 0.15/0.36 (define @t19 () (not (tptp.class_Ring__and__Field_Oordered__idom @t18))) % 0.15/0.36 (define @t20 () (@list @t18)) % 0.15/0.36 (define @t21 () (@list tptp.t_a)) % 0.15/0.36 (define @t22 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_a)) % 0.15/0.36 (define @t23 () (not @t8)) % 0.15/0.36 (define @t24 () (or @t23 @t22)) % 0.15/0.36 (define @t25 () (@list false false)) % 0.15/0.36 (define @t26 () (tptp.c_HOL_Oabs tptp.c_0 tptp.t_a)) % 0.15/0.36 (define @t27 () (= tptp.c_0 @t26)) % 0.15/0.36 (define @t28 () (not @t22)) % 0.15/0.36 (define @t29 () (or @t28 @t27)) % 0.15/0.36 (define @t30 () (tptp.class_Orderings_Oorder tptp.t_a)) % 0.15/0.36 (define @t31 () (or @t23 @t30)) % 0.15/0.36 (define @t32 () (tptp.c_lessequals tptp.c_0 tptp.v_c tptp.t_a)) % 0.15/0.36 (define @t33 () (not @t2)) % 0.15/0.36 (define @t34 () (not @t30)) % 0.15/0.36 (define @t35 () (or @t34 @t33 @t32)) % 0.15/0.36 (define @t36 () (tptp.c_lessequals tptp.c_0 @t4 tptp.t_a)) % 0.15/0.36 (define @t37 () (or @t28 @t36)) % 0.15/0.36 (define @t38 () (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.t_a)) % 0.15/0.36 (define @t39 () (or @t23 @t38)) % 0.15/0.36 (define @t40 () (tptp.c_lessequals tptp.c_0 @t5 tptp.t_a)) % 0.15/0.36 (define @t41 () (not @t32)) % 0.15/0.36 (define @t42 () (not @t36)) % 0.15/0.36 (define @t43 () (not @t38)) % 0.15/0.36 (define @t44 () (or @t43 @t42 @t41 @t40)) % 0.15/0.36 (define @t45 () (not @t40)) % 0.15/0.36 (define @t46 () (not @t27)) % 0.15/0.36 (define @t47 () (= tptp.c_0 tptp.v_x)) % 0.15/0.36 (define @t48 () (not @t47)) % 0.15/0.36 (define @t49 () (= tptp.c_0 @t1)) % 0.15/0.36 (define @t50 () (not @t49)) % 0.15/0.36 (define @t51 () (and @t7 @t49 @t47 @t27)) % 0.15/0.36 (assume @p1 (= @t1 tptp.c_0)) % 0.15/0.36 (assume @p2 @t2) % 0.15/0.36 (assume @p3 (= tptp.v_x tptp.c_0)) % 0.15/0.36 (assume @p4 @t7) % 0.15/0.36 (assume @p5 @t8) % 0.15/0.36 (assume @p6 @t13) % 0.15/0.36 (assume @p7 (forall (@list @t9 @t14) (or @t11 (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs @t14 @t9) @t9)))) % 0.15/0.36 (assume @p8 (forall (@list @t9 @t16 @t15) (or (not (tptp.class_Orderings_Oorder @t9)) (not (tptp.c_less @t16 @t15 @t9)) (tptp.c_lessequals @t16 @t15 @t9)))) % 0.15/0.36 (assume @p9 (forall (@list @t9 @t17 @t14) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t9)) (not (tptp.c_lessequals tptp.c_0 @t17 @t9)) (not (tptp.c_lessequals tptp.c_0 @t14 @t9)) (tptp.c_lessequals tptp.c_0 (tptp.c_times @t14 @t17 @t9) @t9)))) % 0.15/0.36 (assume @p10 (forall @t20 (or @t19 (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t18)))) % 0.15/0.36 (assume @p11 (forall @t20 (or @t19 (tptp.class_Orderings_Oorder @t18)))) % 0.15/0.36 (assume @p12 (forall @t20 (or @t19 (tptp.class_OrderedGroup_Olordered__ab__group__abs @t18)))) % 0.15/0.36 (step @p13 :rule symm :premises (@p1)) % 0.15/0.36 (step @p14 :rule symm :premises (@p3)) % 0.15/0.36 (step @p15 :rule eq-symm :args (@t10 tptp.c_0)) % 0.15/0.36 (step @p16 :rule refl :args (@t11)) % 0.15/0.36 (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t12)) % 0.15/0.36 (step @p18 :rule cong :premises (@p17) :args (@t13)) % 0.15/0.36 (step @p19 :rule eq_resolve :premises (@p6 @p18)) % 0.15/0.36 (step @p20 :rule instantiate :premises (@p19) :args (@t21)) % 0.15/0.36 (step @p21 :rule instantiate :premises (@p12) :args (@t21)) % 0.15/0.36 (step @p22 :rule cnf_or_pos :args (@t24)) % 0.15/0.36 (step @p23 :rule reordering :premises (@p22) :args ((or @t23 @t22 (not @t24)))) % 0.15/0.36 (step @p24 :rule chain_m_resolution :premises (@p23 @p5 @p21) :args (@t22 @t25 (@list @t8 @t24))) % 0.15/0.36 (step @p25 :rule cnf_or_pos :args (@t29)) % 0.15/0.36 (step @p26 :rule reordering :premises (@p25) :args ((or @t28 @t27 (not @t29)))) % 0.15/0.36 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p20) :args (@t27 @t25 (@list @t22 @t29))) % 0.15/0.36 (step @p28 :rule instantiate :premises (@p9) :args ((@list tptp.t_a @t4 tptp.v_c))) % 0.15/0.36 (step @p29 :rule instantiate :premises (@p8) :args ((@list tptp.t_a tptp.c_0 tptp.v_c))) % 0.15/0.36 (step @p30 :rule instantiate :premises (@p11) :args (@t21)) % 0.15/0.36 (step @p31 :rule cnf_or_pos :args (@t31)) % 0.15/0.36 (step @p32 :rule reordering :premises (@p31) :args ((or @t23 @t30 (not @t31)))) % 0.15/0.36 (step @p33 :rule chain_m_resolution :premises (@p32 @p5 @p30) :args (@t30 @t25 (@list @t8 @t31))) % 0.15/0.36 (step @p34 :rule cnf_or_pos :args (@t35)) % 0.15/0.36 (step @p35 :rule reordering :premises (@p34) :args ((or @t33 @t34 @t32 (not @t35)))) % 0.15/0.36 (step @p36 :rule chain_m_resolution :premises (@p35 @p2 @p33 @p29) :args (@t32 (@list false false false) (@list @t2 @t30 @t35))) % 0.15/0.36 (step @p37 :rule instantiate :premises (@p7) :args ((@list tptp.t_a @t3))) % 0.15/0.36 (step @p38 :rule cnf_or_pos :args (@t37)) % 0.15/0.36 (step @p39 :rule reordering :premises (@p38) :args ((or @t28 @t36 (not @t37)))) % 0.15/0.36 (step @p40 :rule chain_m_resolution :premises (@p39 @p24 @p37) :args (@t36 @t25 (@list @t22 @t37))) % 0.15/0.36 (step @p41 :rule instantiate :premises (@p10) :args (@t21)) % 0.15/0.36 (step @p42 :rule cnf_or_pos :args (@t39)) % 0.15/0.36 (step @p43 :rule reordering :premises (@p42) :args ((or @t23 @t38 (not @t39)))) % 0.15/0.36 (step @p44 :rule chain_m_resolution :premises (@p43 @p5 @p41) :args (@t38 @t25 (@list @t8 @t39))) % 0.15/0.36 (step @p45 :rule cnf_or_pos :args (@t44)) % 0.15/0.36 (step @p46 :rule reordering :premises (@p45) :args ((or @t43 @t42 @t41 @t40 (not @t44)))) % 0.15/0.36 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p40 @p36 @p28) :args (@t40 (@list false false false false) (@list @t38 @t36 @t32 @t44))) % 0.15/0.36 (step @p48 :rule refl :args (@t45)) % 0.15/0.36 (step @p49 :rule refl :args (@t46)) % 0.15/0.36 (step @p50 :rule refl :args (@t48)) % 0.15/0.36 (step @p51 :rule refl :args (@t50)) % 0.15/0.36 (step @p52 :rule bool-double-not-elim :args (@t6)) % 0.15/0.36 (step @p53 :rule nary_cong :premises (@p52 @p51 @p50 @p49 @p48) :args ((or (not @t7) @t50 @t48 @t46 @t45))) % 0.15/0.36 (assume-push @p78 @t7) % 0.15/0.36 (assume-push @p79 @t49) % 0.15/0.36 (assume-push @p80 @t47) % 0.15/0.36 (assume-push @p81 @t27) % 0.15/0.36 (step @p58 :rule false_intro :premises (@p4)) % 0.15/0.36 (step @p59 :rule refl :args (tptp.t_a)) % 0.15/0.36 (step @p60 :rule refl :args (@t5)) % 0.15/0.36 (step @p61 :rule cong :premises (@p14) :args (@t1)) % 0.15/0.36 (step @p62 :rule trans :premises (@p13 @p61)) % 0.15/0.36 (step @p63 :rule cong :premises (@p62 @p59) :args (@t26)) % 0.15/0.36 (step @p64 :rule trans :premises (@p27 @p63)) % 0.15/0.36 (step @p65 :rule cong :premises (@p64 @p60 @p59) :args (@t40)) % 0.15/0.36 (step @p66 :rule trans :premises (@p65 @p58)) % 0.15/0.36 (step @p67 :rule false_elim :premises (@p66)) % 0.15/0.36 (step-pop @p82 :rule scope :premises (@p67)) % 0.15/0.36 (step-pop @p83 :rule scope :premises (@p82)) % 0.15/0.36 (step-pop @p84 :rule scope :premises (@p83)) % 0.15/0.36 (step-pop @p85 :rule scope :premises (@p84)) % 0.15/0.36 (step @p68 :rule process_scope :premises (@p85) :args (@t45)) % 0.15/0.36 (step @p73 :rule implies_elim :premises (@p68)) % 0.15/0.36 (step @p74 :rule cnf_and_neg :args (@t51)) % 0.15/0.36 (step @p75 :rule resolution :premises (@p74 @p73) :args (true @t51)) % 0.15/0.36 (step @p76 :rule eq_resolve :premises (@p75 @p53)) % 0.15/0.36 (step @p77 false :rule chain_m_resolution :premises (@p76 @p47 @p27 @p4 @p14 @p13) :args (false (@list false false true false false) (@list @t40 @t27 @t6 @t47 @t49))) % 0.15/0.36 ) % 0.15/0.36 % SZS output end Proof % 0.15/0.36 % cvc5 exiting %------------------------------------------------------------------------------