%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA043-2 : 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 : n001.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 08:06:38 AM UTC 2026 % Result : Unsatisfiable 0.37s 0.56s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA043-2 : TPTP v9.2.1. Released v3.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n001.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 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Wed Jun 3 02:21:05 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.56 % SZS status Unsatisfiable % 0.37/0.56 % SZS output start Proof % 0.37/0.57 ( % 0.37/0.57 (declare-sort $$unsorted 0) % 0.37/0.57 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.t_b $$unsorted) % 0.37/0.57 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_h (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_l (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_k (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v_xa (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_c $$unsorted) % 0.37/0.57 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_0 $$unsorted) % 0.37/0.57 (define @t1 () (@var "V_U" $$unsorted)) % 0.37/0.57 (define @t2 () (@list @t1)) % 0.37/0.57 (define @t3 () (tptp.v_xa @t1)) % 0.37/0.57 (define @t4 () (tptp.v_x @t1)) % 0.37/0.57 (define @t5 () (tptp.v_k @t4 @t3)) % 0.37/0.57 (define @t6 () (tptp.c_HOL_Oabs (tptp.v_l @t4 @t3) tptp.t_b)) % 0.37/0.57 (define @t7 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.37/0.57 (define @t8 () (@var "T_a" $$unsorted)) % 0.37/0.57 (define @t9 () (@var "V_a" $$unsorted)) % 0.37/0.57 (define @t10 () (@var "V_c" $$unsorted)) % 0.37/0.57 (define @t11 () (@var "V_b" $$unsorted)) % 0.37/0.57 (define @t12 () (@list @t8 @t9 @t11 @t10)) % 0.37/0.57 (define @t13 () (@var "T" $$unsorted)) % 0.37/0.57 (define @t14 () (not (tptp.class_Ring__and__Field_Oordered__idom @t13))) % 0.37/0.57 (define @t15 () (@list @t13)) % 0.37/0.57 (define @t16 () (tptp.v_xa tptp.v_c)) % 0.37/0.57 (define @t17 () (tptp.v_x tptp.v_c)) % 0.37/0.57 (define @t18 () (tptp.v_l @t17 @t16)) % 0.37/0.57 (define @t19 () (tptp.c_HOL_Oabs @t18 tptp.t_b)) % 0.37/0.57 (define @t20 () (tptp.v_k @t17 @t16)) % 0.37/0.57 (define @t21 () (tptp.c_HOL_Oabs (tptp.v_h @t20) tptp.t_b)) % 0.37/0.57 (define @t22 () (tptp.c_times tptp.v_c @t21 tptp.t_b)) % 0.37/0.57 (define @t23 () (tptp.c_HOL_Oabs (tptp.v_f @t20) tptp.t_b)) % 0.37/0.57 (define @t24 () (@list tptp.t_b)) % 0.37/0.57 (define @t25 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.37/0.57 (define @t26 () (not @t7)) % 0.37/0.57 (define @t27 () (or @t26 @t25)) % 0.37/0.57 (define @t28 () (@list false false)) % 0.37/0.57 (define @t29 () (tptp.c_lessequals tptp.c_0 @t19 tptp.t_b)) % 0.37/0.57 (define @t30 () (not @t25)) % 0.37/0.57 (define @t31 () (or @t30 @t29)) % 0.37/0.57 (define @t32 () (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b)) % 0.37/0.57 (define @t33 () (or @t26 @t32)) % 0.37/0.57 (define @t34 () (tptp.c_times @t19 @t22 tptp.t_b)) % 0.37/0.57 (define @t35 () (tptp.c_times @t19 @t23 tptp.t_b)) % 0.37/0.57 (define @t36 () (tptp.c_lessequals @t35 @t34 tptp.t_b)) % 0.37/0.57 (define @t37 () (not @t29)) % 0.37/0.57 (define @t38 () (tptp.c_lessequals @t23 @t22 tptp.t_b)) % 0.37/0.57 (define @t39 () (not @t38)) % 0.37/0.57 (define @t40 () (not @t32)) % 0.37/0.57 (define @t41 () (or @t40 @t39 @t37 @t36)) % 0.37/0.57 (define @t42 () (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.t_b)) % 0.37/0.57 (define @t43 () (or @t26 @t42)) % 0.37/0.57 (define @t44 () (tptp.c_times tptp.v_c (tptp.c_times @t19 @t21 tptp.t_b) tptp.t_b)) % 0.37/0.57 (define @t45 () (= @t44 @t34)) % 0.37/0.57 (define @t46 () (not @t42)) % 0.37/0.57 (define @t47 () (or @t46 @t45)) % 0.37/0.57 (assume @p1 (forall @t2 (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f @t1) tptp.t_b) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_h @t1) tptp.t_b) tptp.t_b) tptp.t_b))) % 0.37/0.57 (assume @p2 (forall @t2 (not (tptp.c_lessequals (tptp.c_times @t6 (tptp.c_HOL_Oabs (tptp.v_f @t5) tptp.t_b) tptp.t_b) (tptp.c_times @t1 (tptp.c_times @t6 (tptp.c_HOL_Oabs (tptp.v_h @t5) tptp.t_b) tptp.t_b) tptp.t_b) tptp.t_b)))) % 0.37/0.57 (assume @p3 @t7) % 0.37/0.57 (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)))) % 0.37/0.57 (assume @p5 (forall @t12 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t8)) (= (tptp.c_times @t9 (tptp.c_times @t11 @t10 @t8) @t8) (tptp.c_times @t11 (tptp.c_times @t9 @t10 @t8) @t8))))) % 0.37/0.57 (assume @p6 (forall @t12 (or (not (tptp.class_Ring__and__Field_Opordered__semiring @t8)) (not (tptp.c_lessequals @t9 @t11 @t8)) (not (tptp.c_lessequals tptp.c_0 @t10 @t8)) (tptp.c_lessequals (tptp.c_times @t10 @t9 @t8) (tptp.c_times @t10 @t11 @t8) @t8)))) % 0.37/0.57 (assume @p7 (forall @t15 (or @t14 (tptp.class_OrderedGroup_Oab__semigroup__mult @t13)))) % 0.37/0.57 (assume @p8 (forall @t15 (or @t14 (tptp.class_Ring__and__Field_Opordered__semiring @t13)))) % 0.37/0.57 (assume @p9 (forall @t15 (or @t14 (tptp.class_OrderedGroup_Olordered__ab__group__abs @t13)))) % 0.37/0.57 (step @p10 :rule evaluate :args ((= false true))) % 0.37/0.57 (step @p11 :rule instantiate :premises (@p6) :args ((@list tptp.t_b @t23 @t22 @t19))) % 0.37/0.57 (step @p12 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t18))) % 0.37/0.57 (step @p13 :rule instantiate :premises (@p9) :args (@t24)) % 0.37/0.57 (step @p14 :rule cnf_or_pos :args (@t27)) % 0.37/0.57 (step @p15 :rule reordering :premises (@p14) :args ((or @t26 @t25 (not @t27)))) % 0.37/0.57 (step @p16 :rule chain_m_resolution :premises (@p15 @p3 @p13) :args (@t25 @t28 (@list @t7 @t27))) % 0.37/0.57 (step @p17 :rule cnf_or_pos :args (@t31)) % 0.37/0.57 (step @p18 :rule reordering :premises (@p17) :args ((or @t30 @t29 (not @t31)))) % 0.37/0.57 (step @p19 :rule chain_m_resolution :premises (@p18 @p16 @p12) :args (@t29 @t28 (@list @t25 @t31))) % 0.37/0.57 (step @p20 :rule instantiate :premises (@p1) :args ((@list @t20))) % 0.37/0.57 (step @p21 :rule instantiate :premises (@p8) :args (@t24)) % 0.37/0.57 (step @p22 :rule cnf_or_pos :args (@t33)) % 0.37/0.57 (step @p23 :rule reordering :premises (@p22) :args ((or @t26 @t32 (not @t33)))) % 0.37/0.57 (step @p24 :rule chain_m_resolution :premises (@p23 @p3 @p21) :args (@t32 @t28 (@list @t7 @t33))) % 0.37/0.57 (step @p25 :rule cnf_or_pos :args (@t41)) % 0.37/0.57 (step @p26 :rule reordering :premises (@p25) :args ((or @t40 @t39 @t37 @t36 (not @t41)))) % 0.37/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p20 @p19 @p11) :args (@t36 (@list false false false false) (@list @t32 @t38 @t29 @t41))) % 0.37/0.57 (step @p28 :rule true_intro :premises (@p27)) % 0.37/0.57 (step @p29 :rule refl :args (tptp.t_b)) % 0.37/0.57 (step @p30 :rule instantiate :premises (@p5) :args ((@list tptp.t_b tptp.v_c @t19 @t21))) % 0.37/0.57 (step @p31 :rule instantiate :premises (@p7) :args (@t24)) % 0.37/0.57 (step @p32 :rule cnf_or_pos :args (@t43)) % 0.37/0.57 (step @p33 :rule reordering :premises (@p32) :args ((or @t26 @t42 (not @t43)))) % 0.37/0.57 (step @p34 :rule chain_m_resolution :premises (@p33 @p3 @p31) :args (@t42 @t28 (@list @t7 @t43))) % 0.37/0.57 (step @p35 :rule cnf_or_pos :args (@t47)) % 0.37/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t46 @t45 (not @t47)))) % 0.37/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p34 @p30) :args (@t45 @t28 (@list @t42 @t47))) % 0.37/0.57 (step @p38 :rule refl :args (@t35)) % 0.37/0.57 (step @p39 :rule cong :premises (@p38 @p37 @p29) :args ((tptp.c_lessequals @t35 @t44 tptp.t_b))) % 0.37/0.57 (step @p40 :rule instantiate :premises (@p2) :args ((@list tptp.v_c))) % 0.37/0.57 (step @p41 :rule false_intro :premises (@p40)) % 0.37/0.57 (step @p42 :rule symm :premises (@p41)) % 0.37/0.57 (step @p43 :rule trans :premises (@p42 @p39 @p28)) % 0.37/0.57 (step @p44 false :rule eq_resolve :premises (@p43 @p10)) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------