%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA023-2 : 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 : n025.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 08:06:34 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.13 % Problem : ANA023-2 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n025.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Wed Jun 3 02:19:16 EDT 2026 % 0.17/0.36 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.58 % SZS status Unsatisfiable % 0.38/0.58 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.c_0 $$unsorted) % 0.38/0.58 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v_x $$unsorted) % 0.38/0.58 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.t_b $$unsorted) % 0.38/0.58 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.v_k (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (@var "V_y" $$unsorted)) % 0.38/0.58 (define @t2 () (@var "T_a" $$unsorted)) % 0.38/0.58 (define @t3 () (@var "V_c" $$unsorted)) % 0.38/0.58 (define @t4 () (@var "V_b" $$unsorted)) % 0.38/0.58 (define @t5 () (@var "V_a" $$unsorted)) % 0.38/0.58 (define @t6 () (tptp.c_lessequals (tptp.c_plus @t5 @t4 @t2) @t3 @t2)) % 0.38/0.58 (define @t7 () (tptp.c_lessequals @t5 (tptp.c_minus @t3 @t4 @t2) @t2)) % 0.38/0.58 (define @t8 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t2))) % 0.38/0.58 (define @t9 () (@var "V_z" $$unsorted)) % 0.38/0.58 (define @t10 () (@var "V_x" $$unsorted)) % 0.38/0.58 (define @t11 () (tptp.v_g tptp.v_x)) % 0.38/0.58 (define @t12 () (tptp.v_k tptp.v_x)) % 0.38/0.58 (define @t13 () (tptp.c_lessequals tptp.c_0 (tptp.c_minus @t12 @t11 tptp.t_b) tptp.t_b)) % 0.38/0.58 (define @t14 () (tptp.v_f tptp.v_x)) % 0.38/0.58 (define @t15 () (tptp.c_lessequals @t12 @t14 tptp.t_b)) % 0.38/0.58 (define @t16 () (tptp.c_lessequals tptp.c_0 (tptp.c_minus @t14 @t11 tptp.t_b) tptp.t_b)) % 0.38/0.58 (define @t17 () (@var "T" $$unsorted)) % 0.38/0.58 (define @t18 () (tptp.class_Orderings_Olinorder @t17)) % 0.38/0.58 (define @t19 () (@list @t17)) % 0.38/0.58 (define @t20 () (not (tptp.class_Ring__and__Field_Oordered__idom @t17))) % 0.38/0.58 (define @t21 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.38/0.58 (define @t22 () (@list tptp.t_b)) % 0.38/0.58 (define @t23 () (tptp.class_Orderings_Olinorder tptp.t_b)) % 0.38/0.58 (define @t24 () (not @t21)) % 0.38/0.58 (define @t25 () (or @t24 @t23)) % 0.38/0.58 (define @t26 () (@list false false)) % 0.38/0.58 (define @t27 () (tptp.c_plus tptp.c_0 @t11 tptp.t_b)) % 0.38/0.58 (define @t28 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) % 0.38/0.58 (define @t29 () (or @t24 @t28)) % 0.38/0.58 (define @t30 () (tptp.c_lessequals @t27 @t12 tptp.t_b)) % 0.38/0.58 (define @t31 () (not @t13)) % 0.38/0.58 (define @t32 () (not @t28)) % 0.38/0.58 (define @t33 () (or @t32 @t31 @t30)) % 0.38/0.58 (define @t34 () (tptp.c_lessequals @t27 @t14 tptp.t_b)) % 0.38/0.58 (define @t35 () (not @t34)) % 0.38/0.58 (define @t36 () (or @t32 @t35 @t16)) % 0.38/0.58 (define @t37 () (@list true false false)) % 0.38/0.58 (define @t38 () (not @t30)) % 0.38/0.58 (define @t39 () (not @t15)) % 0.38/0.58 (define @t40 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.38/0.58 (define @t41 () (not @t40)) % 0.38/0.58 (define @t42 () (or @t41 @t39 @t38 @t34)) % 0.38/0.58 (define @t43 () (not @t23)) % 0.38/0.58 (define @t44 () (or @t43 @t40)) % 0.38/0.58 (assume @p1 (forall (@list @t2 @t1) (or (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t2)) (= (tptp.c_plus tptp.c_0 @t1 @t2) @t1)))) % 0.38/0.58 (assume @p2 (forall (@list @t2 @t5 @t3 @t4) (or @t8 (not @t7) @t6))) % 0.38/0.58 (assume @p3 (forall (@list @t2 @t5 @t4 @t3) (or @t8 (not @t6) @t7))) % 0.38/0.58 (assume @p4 (forall (@list @t2 @t1 @t9 @t10) (or (not (tptp.class_Orderings_Oorder @t2)) (not (tptp.c_lessequals @t1 @t9 @t2)) (not (tptp.c_lessequals @t10 @t1 @t2)) (tptp.c_lessequals @t10 @t9 @t2)))) % 0.38/0.58 (assume @p5 @t13) % 0.38/0.58 (assume @p6 @t15) % 0.38/0.58 (assume @p7 (not @t16)) % 0.38/0.58 (assume @p8 (forall @t19 (or (not @t18) (tptp.class_Orderings_Oorder @t17)))) % 0.38/0.58 (assume @p9 (forall @t19 (or @t20 (tptp.class_OrderedGroup_Ocomm__monoid__add @t17)))) % 0.38/0.58 (assume @p10 (forall @t19 (or @t20 @t18))) % 0.38/0.58 (assume @p11 (forall @t19 (or @t20 (tptp.class_OrderedGroup_Opordered__ab__group__add @t17)))) % 0.38/0.58 (assume @p12 @t21) % 0.38/0.58 (step @p13 :rule instantiate :premises (@p10) :args (@t22)) % 0.38/0.58 (step @p14 :rule cnf_or_pos :args (@t25)) % 0.38/0.58 (step @p15 :rule reordering :premises (@p14) :args ((or @t24 @t23 (not @t25)))) % 0.38/0.58 (step @p16 :rule chain_m_resolution :premises (@p15 @p12 @p13) :args (@t23 @t26 (@list @t21 @t25))) % 0.38/0.58 (step @p17 :rule instantiate :premises (@p8) :args (@t22)) % 0.38/0.58 (step @p18 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t12 @t14 @t27))) % 0.38/0.58 (step @p19 :rule instantiate :premises (@p2) :args ((@list tptp.t_b tptp.c_0 @t12 @t11))) % 0.38/0.58 (step @p20 :rule instantiate :premises (@p11) :args (@t22)) % 0.38/0.58 (step @p21 :rule cnf_or_pos :args (@t29)) % 0.38/0.58 (step @p22 :rule reordering :premises (@p21) :args ((or @t24 @t28 (not @t29)))) % 0.38/0.58 (step @p23 :rule chain_m_resolution :premises (@p22 @p12 @p20) :args (@t28 @t26 (@list @t21 @t29))) % 0.38/0.58 (step @p24 :rule cnf_or_pos :args (@t33)) % 0.38/0.58 (step @p25 :rule reordering :premises (@p24) :args ((or @t31 @t32 @t30 (not @t33)))) % 0.38/0.58 (step @p26 :rule chain_m_resolution :premises (@p25 @p5 @p23 @p19) :args (@t30 (@list false false false) (@list @t13 @t28 @t33))) % 0.38/0.58 (step @p27 :rule instantiate :premises (@p3) :args ((@list tptp.t_b tptp.c_0 @t11 @t14))) % 0.38/0.58 (step @p28 :rule cnf_or_pos :args (@t36)) % 0.38/0.58 (step @p29 :rule reordering :premises (@p28) :args ((or @t16 @t32 @t35 (not @t36)))) % 0.38/0.58 (step @p30 :rule chain_m_resolution :premises (@p29 @p7 @p23 @p27) :args (@t35 @t37 (@list @t16 @t28 @t36))) % 0.38/0.58 (step @p31 :rule cnf_or_pos :args (@t42)) % 0.38/0.58 (step @p32 :rule reordering :premises (@p31) :args ((or @t39 @t34 @t38 @t41 (not @t42)))) % 0.38/0.58 (step @p33 :rule chain_m_resolution :premises (@p32 @p6 @p30 @p26 @p18) :args (@t41 (@list false true false false) (@list @t15 @t34 @t30 @t42))) % 0.38/0.58 (step @p34 :rule cnf_or_pos :args (@t44)) % 0.38/0.58 (step @p35 :rule reordering :premises (@p34) :args ((or @t43 @t40 (not @t44)))) % 0.38/0.58 (step @p36 false :rule chain_m_resolution :premises (@p35 @p33 @p17 @p16) :args (false @t37 (@list @t40 @t44 @t23))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.59 % cvc5 exiting %------------------------------------------------------------------------------