%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA009-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n002.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 08:06:31 AM UTC 2026 % Result : Unsatisfiable 0.26s 0.54s % Output : Proof 0.26s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA009-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n002.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 : Wed Jun 3 02:17:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.26/0.54 % SZS status Unsatisfiable % 0.26/0.54 % SZS output start Proof % 0.26/0.55 ( % 0.26/0.55 (declare-sort $$unsorted 0) % 0.26/0.55 (declare-const tptp.v_x $$unsorted) % 0.26/0.55 (declare-const tptp.v_lb (-> $$unsorted $$unsorted)) % 0.26/0.55 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.26/0.55 (declare-const tptp.t_b $$unsorted) % 0.26/0.55 (declare-const tptp.c_uminus (-> $$unsorted $$unsorted $$unsorted)) % 0.26/0.55 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.26/0.55 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.26/0.55 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.26/0.55 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.26/0.55 (declare-const tptp.c_0 $$unsorted) % 0.26/0.55 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.26/0.55 (define @t1 () (@var "T_a" $$unsorted)) % 0.26/0.55 (define @t2 () (@var "V_c" $$unsorted)) % 0.26/0.55 (define @t3 () (@var "V_b" $$unsorted)) % 0.26/0.55 (define @t4 () (@var "V_a" $$unsorted)) % 0.26/0.55 (define @t5 () (forall (@list @t1 @t4 @t3 @t2) (or (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1)) (not (tptp.c_lessequals @t4 @t3 @t1)) (tptp.c_lessequals (tptp.c_plus @t4 @t2 @t1) (tptp.c_plus @t3 @t2 @t1) @t1)))) % 0.26/0.55 (define @t6 () (tptp.c_plus @t4 (tptp.c_uminus @t4 @t1) @t1)) % 0.26/0.55 (define @t7 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.26/0.55 (define @t8 () (or @t7 (= @t6 tptp.c_0))) % 0.26/0.55 (define @t9 () (forall (@list @t1 @t4) @t8)) % 0.26/0.55 (define @t10 () (@var "V_U" $$unsorted)) % 0.26/0.55 (define @t11 () (tptp.v_lb tptp.v_x)) % 0.26/0.55 (define @t12 () (tptp.c_uminus @t11 tptp.t_b)) % 0.26/0.55 (define @t13 () (tptp.v_f tptp.v_x)) % 0.26/0.55 (define @t14 () (tptp.c_plus @t13 @t12 tptp.t_b)) % 0.26/0.55 (define @t15 () (@var "T" $$unsorted)) % 0.26/0.55 (define @t16 () (not (tptp.class_Ring__and__Field_Oordered__idom @t15))) % 0.26/0.55 (define @t17 () (@list @t15)) % 0.26/0.55 (define @t18 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.26/0.55 (define @t19 () (@list tptp.t_b)) % 0.26/0.55 (define @t20 () (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) % 0.26/0.55 (define @t21 () (not @t18)) % 0.26/0.55 (define @t22 () (or @t21 @t20)) % 0.26/0.55 (define @t23 () (@list false false)) % 0.26/0.55 (define @t24 () (tptp.c_plus @t11 @t12 tptp.t_b)) % 0.26/0.55 (define @t25 () (= tptp.c_0 @t24)) % 0.26/0.55 (define @t26 () (not @t20)) % 0.26/0.55 (define @t27 () (or @t26 @t25)) % 0.26/0.55 (define @t28 () (tptp.c_lessequals @t24 @t14 tptp.t_b)) % 0.26/0.55 (define @t29 () (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.t_b)) % 0.26/0.55 (define @t30 () (or @t21 @t29)) % 0.26/0.55 (define @t31 () (tptp.c_lessequals @t11 @t13 tptp.t_b)) % 0.26/0.55 (define @t32 () (not @t31)) % 0.26/0.55 (define @t33 () (not @t29)) % 0.26/0.55 (define @t34 () (or @t33 @t32 @t28)) % 0.26/0.55 (define @t35 () (not @t34)) % 0.26/0.55 (assume @p1 @t5) % 0.26/0.55 (assume @p2 @t9) % 0.26/0.55 (assume @p3 (forall (@list @t10) (tptp.c_lessequals (tptp.v_lb @t10) (tptp.v_f @t10) tptp.t_b))) % 0.26/0.55 (assume @p4 (not (tptp.c_lessequals tptp.c_0 @t14 tptp.t_b))) % 0.26/0.55 (assume @p5 (forall @t17 (or @t16 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t15)))) % 0.26/0.55 (assume @p6 (forall @t17 (or @t16 (tptp.class_OrderedGroup_Oab__group__add @t15)))) % 0.26/0.55 (assume @p7 @t18) % 0.26/0.55 (step @p8 :rule false_intro :premises (@p4)) % 0.26/0.55 (step @p9 :rule refl :args (tptp.t_b)) % 0.26/0.55 (step @p10 :rule refl :args (@t14)) % 0.26/0.55 (step @p11 :rule eq-symm :args (@t6 tptp.c_0)) % 0.26/0.55 (step @p12 :rule refl :args (@t7)) % 0.26/0.55 (step @p13 :rule nary_cong :premises (@p12 @p11) :args (@t8)) % 0.26/0.55 (step @p14 :rule cong :premises (@p13) :args (@t9)) % 0.26/0.55 (step @p15 :rule eq_resolve :premises (@p2 @p14)) % 0.26/0.55 (step @p16 :rule instantiate :premises (@p15) :args ((@list tptp.t_b @t11))) % 0.26/0.55 (step @p17 :rule instantiate :premises (@p6) :args (@t19)) % 0.26/0.55 (step @p18 :rule cnf_or_pos :args (@t22)) % 0.26/0.55 (step @p19 :rule reordering :premises (@p18) :args ((or @t21 @t20 (not @t22)))) % 0.26/0.55 (step @p20 :rule chain_m_resolution :premises (@p19 @p7 @p17) :args (@t20 @t23 (@list @t18 @t22))) % 0.26/0.55 (step @p21 :rule cnf_or_pos :args (@t27)) % 0.26/0.55 (step @p22 :rule reordering :premises (@p21) :args ((or @t26 @t25 (not @t27)))) % 0.26/0.55 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p16) :args (@t25 @t23 (@list @t20 @t27))) % 0.26/0.55 (step @p24 :rule symm :premises (@p23)) % 0.26/0.55 (step @p25 :rule cong :premises (@p24 @p10 @p9) :args (@t28)) % 0.26/0.55 (step @p26 :rule trans :premises (@p25 @p8)) % 0.26/0.55 (step @p27 :rule false_elim :premises (@p26)) % 0.26/0.55 (step @p28 :rule instantiate :premises (@p5) :args (@t19)) % 0.26/0.55 (step @p29 :rule cnf_or_pos :args (@t30)) % 0.26/0.55 (step @p30 :rule reordering :premises (@p29) :args ((or @t21 @t29 (not @t30)))) % 0.26/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p7 @p28) :args (@t29 @t23 (@list @t18 @t30))) % 0.26/0.55 (step @p32 :rule instantiate :premises (@p3) :args ((@list tptp.v_x))) % 0.26/0.55 (step @p33 :rule cnf_or_pos :args (@t34)) % 0.26/0.55 (step @p34 :rule reordering :premises (@p33) :args ((or @t32 @t33 @t28 @t35))) % 0.26/0.55 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31 @p27) :args (@t35 (@list false false true) (@list @t31 @t29 @t28))) % 0.26/0.55 (assume-push @p42 @t5) % 0.26/0.55 (step @p37 :rule instantiate :premises (@p1) :args ((@list tptp.t_b @t11 @t13 @t12))) % 0.26/0.55 (step-pop @p43 :rule scope :premises (@p37)) % 0.26/0.55 (step @p38 :rule process_scope :premises (@p43) :args (@t34)) % 0.26/0.55 (step @p40 :rule implies_elim :premises (@p38)) % 0.26/0.55 (step @p41 false :rule chain_m_resolution :premises (@p40 @p35 @p1) :args (false (@list true false) (@list @t34 @t5))) % 0.26/0.55 ) % 0.26/0.55 % SZS output end Proof % 0.26/0.55 % cvc5 exiting %------------------------------------------------------------------------------