%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA029-2 : 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 : 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 08:06:35 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.57s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA029-2 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n017.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:18:01 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.57 % SZS status Unsatisfiable % 0.38/0.57 % SZS output start Proof % 0.38/0.58 ( % 0.38/0.58 (declare-sort $$unsorted 0) % 0.38/0.58 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.t_b $$unsorted) % 0.38/0.58 (declare-const tptp.v_x $$unsorted) % 0.38/0.58 (declare-const tptp.v_k (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.c_0 $$unsorted) % 0.38/0.58 (declare-const tptp.c_Orderings_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.58 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.38/0.58 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.58 (define @t1 () (tptp.v_f tptp.v_x)) % 0.38/0.58 (define @t2 () (tptp.c_minus @t1 (tptp.v_k tptp.v_x) tptp.t_b)) % 0.38/0.58 (define @t3 () (tptp.c_lessequals tptp.c_0 @t2 tptp.t_b)) % 0.38/0.58 (define @t4 () (tptp.c_minus @t1 (tptp.v_g tptp.v_x) tptp.t_b)) % 0.38/0.58 (define @t5 () (tptp.c_HOL_Oabs @t4 tptp.t_b)) % 0.38/0.58 (define @t6 () (tptp.c_lessequals (tptp.c_Orderings_Omax @t2 tptp.c_0 tptp.t_b) @t5 tptp.t_b)) % 0.38/0.58 (define @t7 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.38/0.58 (define @t8 () (@var "T_a" $$unsorted)) % 0.38/0.58 (define @t9 () (@var "V_a" $$unsorted)) % 0.38/0.58 (define @t10 () (@var "V_b" $$unsorted)) % 0.38/0.58 (define @t11 () (tptp.c_lessequals @t9 @t10 @t8)) % 0.38/0.58 (define @t12 () (tptp.c_lessequals (tptp.c_minus @t9 @t10 @t8) tptp.c_0 @t8)) % 0.38/0.58 (define @t13 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t8))) % 0.38/0.58 (define @t14 () (@list @t8 @t9 @t10)) % 0.38/0.58 (define @t15 () (@var "V_y" $$unsorted)) % 0.38/0.58 (define @t16 () (@var "V_x" $$unsorted)) % 0.38/0.58 (define @t17 () (tptp.c_lessequals @t16 @t15 @t8)) % 0.38/0.58 (define @t18 () (@var "T_b" $$unsorted)) % 0.38/0.58 (define @t19 () (@var "V_z" $$unsorted)) % 0.38/0.58 (define @t20 () (not (tptp.class_Orderings_Oorder @t8))) % 0.38/0.58 (define @t21 () (forall (@list @t8 @t15 @t19 @t16) (or @t20 (not (tptp.c_lessequals @t15 @t19 @t8)) (not @t17) (tptp.c_lessequals @t16 @t19 @t8)))) % 0.38/0.58 (define @t22 () (@var "T" $$unsorted)) % 0.38/0.58 (define @t23 () (tptp.class_OrderedGroup_Opordered__ab__group__add @t22)) % 0.38/0.58 (define @t24 () (@list @t22)) % 0.38/0.58 (define @t25 () (not (tptp.class_Ring__and__Field_Oordered__idom @t22))) % 0.38/0.58 (define @t26 () (@list tptp.t_b)) % 0.38/0.58 (define @t27 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) % 0.38/0.58 (define @t28 () (not @t7)) % 0.38/0.58 (define @t29 () (or @t28 @t27)) % 0.38/0.58 (define @t30 () (@list false false)) % 0.38/0.58 (define @t31 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.38/0.58 (define @t32 () (not @t27)) % 0.38/0.58 (define @t33 () (or @t32 @t31)) % 0.38/0.58 (define @t34 () (@list tptp.t_b tptp.c_0 @t5 @t2)) % 0.38/0.58 (define @t35 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.38/0.58 (define @t36 () (or @t28 @t35)) % 0.38/0.58 (define @t37 () (tptp.c_lessequals tptp.c_0 @t5 tptp.t_b)) % 0.38/0.58 (define @t38 () (not @t35)) % 0.38/0.58 (define @t39 () (or @t38 @t37)) % 0.38/0.58 (define @t40 () (tptp.class_Orderings_Olinorder tptp.t_b)) % 0.38/0.58 (define @t41 () (or @t28 @t40)) % 0.38/0.58 (define @t42 () (tptp.c_lessequals @t2 @t5 tptp.t_b)) % 0.38/0.58 (define @t43 () (not @t42)) % 0.38/0.58 (define @t44 () (not @t37)) % 0.38/0.58 (define @t45 () (not @t40)) % 0.38/0.58 (define @t46 () (or @t45 @t44 @t43 @t6)) % 0.38/0.58 (define @t47 () (@list tptp.t_b tptp.c_0 @t2)) % 0.38/0.58 (define @t48 () (tptp.c_less tptp.c_0 @t2 tptp.t_b)) % 0.38/0.58 (define @t49 () (not @t48)) % 0.38/0.58 (define @t50 () (not @t31)) % 0.38/0.58 (define @t51 () (or @t50 @t49 @t3)) % 0.38/0.58 (define @t52 () (tptp.c_lessequals @t2 tptp.c_0 tptp.t_b)) % 0.38/0.58 (define @t53 () (or @t45 @t48 @t52)) % 0.38/0.58 (define @t54 () (not @t52)) % 0.38/0.58 (define @t55 () (or @t50 @t44 @t54 @t42)) % 0.38/0.58 (define @t56 () (not @t55)) % 0.38/0.58 (assume @p1 (not @t3)) % 0.38/0.58 (assume @p2 (not @t6)) % 0.38/0.58 (assume @p3 @t7) % 0.38/0.58 (assume @p4 (forall (@list @t8 @t9) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t8)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs @t9 @t8) @t8)))) % 0.38/0.58 (assume @p5 (forall @t14 (or @t13 (not @t12) @t11))) % 0.38/0.58 (assume @p6 (forall @t14 (or @t13 (not @t11) @t12))) % 0.38/0.58 (assume @p7 (forall (@list @t8 @t15 @t16) (or (not (tptp.class_Orderings_Olinorder @t8)) (tptp.c_less @t15 @t16 @t8) @t17))) % 0.38/0.58 (assume @p8 (forall (@list @t18 @t15 @t19 @t16) (or (not (tptp.class_Orderings_Olinorder @t18)) (not (tptp.c_lessequals @t15 @t19 @t18)) (not (tptp.c_lessequals @t16 @t19 @t18)) (tptp.c_lessequals (tptp.c_Orderings_Omax @t16 @t15 @t18) @t19 @t18)))) % 0.38/0.58 (assume @p9 @t21) % 0.38/0.58 (assume @p10 (forall (@list @t8 @t16 @t15) (or @t20 (not (tptp.c_less @t16 @t15 @t8)) @t17))) % 0.38/0.58 (assume @p11 (forall @t24 (or (not @t23) (tptp.class_Orderings_Oorder @t22)))) % 0.38/0.58 (assume @p12 (forall @t24 (or @t25 (tptp.class_Orderings_Olinorder @t22)))) % 0.38/0.58 (assume @p13 (forall @t24 (or @t25 (tptp.class_OrderedGroup_Olordered__ab__group__abs @t22)))) % 0.38/0.58 (assume @p14 (forall @t24 (or @t25 @t23))) % 0.38/0.58 (step @p15 :rule instantiate :premises (@p11) :args (@t26)) % 0.38/0.58 (step @p16 :rule instantiate :premises (@p14) :args (@t26)) % 0.38/0.58 (step @p17 :rule cnf_or_pos :args (@t29)) % 0.38/0.58 (step @p18 :rule reordering :premises (@p17) :args ((or @t28 @t27 (not @t29)))) % 0.38/0.58 (step @p19 :rule chain_m_resolution :premises (@p18 @p3 @p16) :args (@t27 @t30 (@list @t7 @t29))) % 0.38/0.58 (step @p20 :rule cnf_or_pos :args (@t33)) % 0.38/0.58 (step @p21 :rule reordering :premises (@p20) :args ((or @t32 @t31 (not @t33)))) % 0.38/0.58 (step @p22 :rule chain_m_resolution :premises (@p21 @p19 @p15) :args (@t31 @t30 (@list @t27 @t33))) % 0.38/0.58 (step @p23 :rule instantiate :premises (@p8) :args (@t34)) % 0.38/0.58 (step @p24 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t4))) % 0.38/0.58 (step @p25 :rule instantiate :premises (@p13) :args (@t26)) % 0.38/0.58 (step @p26 :rule cnf_or_pos :args (@t36)) % 0.38/0.58 (step @p27 :rule reordering :premises (@p26) :args ((or @t28 @t35 (not @t36)))) % 0.38/0.58 (step @p28 :rule chain_m_resolution :premises (@p27 @p3 @p25) :args (@t35 @t30 (@list @t7 @t36))) % 0.38/0.58 (step @p29 :rule cnf_or_pos :args (@t39)) % 0.38/0.58 (step @p30 :rule reordering :premises (@p29) :args ((or @t38 @t37 (not @t39)))) % 0.38/0.58 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p24) :args (@t37 @t30 (@list @t35 @t39))) % 0.38/0.58 (step @p32 :rule instantiate :premises (@p12) :args (@t26)) % 0.38/0.58 (step @p33 :rule cnf_or_pos :args (@t41)) % 0.38/0.58 (step @p34 :rule reordering :premises (@p33) :args ((or @t28 @t40 (not @t41)))) % 0.38/0.58 (step @p35 :rule chain_m_resolution :premises (@p34 @p3 @p32) :args (@t40 @t30 (@list @t7 @t41))) % 0.38/0.58 (step @p36 :rule cnf_or_pos :args (@t46)) % 0.38/0.58 (step @p37 :rule reordering :premises (@p36) :args ((or @t6 @t45 @t44 @t43 (not @t46)))) % 0.38/0.58 (step @p38 :rule chain_m_resolution :premises (@p37 @p2 @p35 @p31 @p23) :args (@t43 (@list true false false false) (@list @t6 @t40 @t37 @t46))) % 0.38/0.58 (step @p39 :rule instantiate :premises (@p7) :args (@t47)) % 0.38/0.58 (step @p40 :rule instantiate :premises (@p10) :args (@t47)) % 0.38/0.58 (step @p41 :rule cnf_or_pos :args (@t51)) % 0.38/0.58 (step @p42 :rule reordering :premises (@p41) :args ((or @t3 @t50 @t49 (not @t51)))) % 0.38/0.58 (step @p43 :rule chain_m_resolution :premises (@p42 @p1 @p22 @p40) :args (@t49 (@list true false false) (@list @t3 @t31 @t51))) % 0.38/0.58 (step @p44 :rule cnf_or_pos :args (@t53)) % 0.38/0.58 (step @p45 :rule reordering :premises (@p44) :args ((or @t52 @t45 @t48 (not @t53)))) % 0.38/0.58 (step @p46 :rule chain_m_resolution :premises (@p45 @p35 @p43 @p39) :args (@t52 (@list false true false) (@list @t40 @t48 @t53))) % 0.38/0.58 (step @p47 :rule cnf_or_pos :args (@t55)) % 0.38/0.58 (step @p48 :rule reordering :premises (@p47) :args ((or @t54 @t44 @t42 @t50 @t56))) % 0.38/0.58 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p31 @p38 @p22) :args (@t56 (@list false false true false) (@list @t52 @t37 @t42 @t31))) % 0.38/0.58 (assume-push @p56 @t21) % 0.38/0.58 (step @p51 :rule instantiate :premises (@p9) :args (@t34)) % 0.38/0.58 (step-pop @p57 :rule scope :premises (@p51)) % 0.38/0.58 (step @p52 :rule process_scope :premises (@p57) :args (@t55)) % 0.38/0.58 (step @p54 :rule implies_elim :premises (@p52)) % 0.38/0.58 (step @p55 false :rule chain_m_resolution :premises (@p54 @p49 @p9) :args (false (@list true false) (@list @t55 @t21))) % 0.38/0.58 ) % 0.38/0.58 % SZS output end Proof % 0.38/0.58 % cvc5 exiting %------------------------------------------------------------------------------