%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA039-2 : 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 : n014.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 08:06:37 AM UTC 2026 % Result : Unsatisfiable 0.34s 0.56s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA039-2 : 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 % 0.18/0.35 % Computer : n014.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 02:20:13 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.56 % SZS status Unsatisfiable % 0.34/0.56 % SZS output start Proof % 0.34/0.57 ( % 0.34/0.57 (declare-sort $$unsorted 0) % 0.34/0.57 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.c_0 $$unsorted) % 0.34/0.57 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.v_h (-> $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.v_c $$unsorted) % 0.34/0.57 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.34/0.57 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.34/0.57 (declare-const tptp.v_x $$unsorted) % 0.34/0.57 (declare-const tptp.t_a $$unsorted) % 0.34/0.57 (define @t1 () (@var "V_U" $$unsorted)) % 0.34/0.57 (define @t2 () (tptp.v_f tptp.v_x)) % 0.34/0.57 (define @t3 () (tptp.c_HOL_Oabs @t2 tptp.t_a)) % 0.34/0.57 (define @t4 () (tptp.c_HOL_Oabs tptp.v_c tptp.t_a)) % 0.34/0.57 (define @t5 () (tptp.c_times @t4 @t3 tptp.t_a)) % 0.34/0.57 (define @t6 () (tptp.c_HOL_Oabs (tptp.v_h tptp.v_x) tptp.t_a)) % 0.34/0.57 (define @t7 () (tptp.c_lessequals @t6 @t5 tptp.t_a)) % 0.34/0.57 (define @t8 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_a)) % 0.34/0.57 (define @t9 () (@var "T_a" $$unsorted)) % 0.34/0.57 (define @t10 () (@var "V_a" $$unsorted)) % 0.34/0.57 (define @t11 () (tptp.c_HOL_Oabs @t10 @t9)) % 0.34/0.57 (define @t12 () (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t9))) % 0.34/0.57 (define @t13 () (@list @t9 @t10)) % 0.34/0.57 (define @t14 () (@var "V_z" $$unsorted)) % 0.34/0.57 (define @t15 () (@var "V_x" $$unsorted)) % 0.34/0.57 (define @t16 () (@var "V_y" $$unsorted)) % 0.34/0.57 (define @t17 () (@var "V_c" $$unsorted)) % 0.34/0.57 (define @t18 () (@var "V_b" $$unsorted)) % 0.34/0.57 (define @t19 () (forall (@list @t9 @t10 @t18 @t17) (or (not (tptp.class_Ring__and__Field_Opordered__semiring @t9)) (not (tptp.c_lessequals @t10 @t18 @t9)) (not (tptp.c_lessequals tptp.c_0 @t17 @t9)) (tptp.c_lessequals (tptp.c_times @t10 @t17 @t9) (tptp.c_times @t18 @t17 @t9) @t9)))) % 0.34/0.57 (define @t20 () (@var "T" $$unsorted)) % 0.34/0.57 (define @t21 () (not (tptp.class_Ring__and__Field_Oordered__idom @t20))) % 0.34/0.57 (define @t22 () (@list @t20)) % 0.34/0.57 (define @t23 () (tptp.c_times tptp.v_c @t3 tptp.t_a)) % 0.34/0.57 (define @t24 () (@list tptp.t_a)) % 0.34/0.57 (define @t25 () (tptp.class_Orderings_Oorder tptp.t_a)) % 0.34/0.57 (define @t26 () (not @t8)) % 0.34/0.57 (define @t27 () (or @t26 @t25)) % 0.34/0.57 (define @t28 () (@list false false)) % 0.34/0.57 (define @t29 () (tptp.c_lessequals @t6 @t23 tptp.t_a)) % 0.34/0.57 (define @t30 () (not @t29)) % 0.34/0.57 (define @t31 () (tptp.c_lessequals @t23 @t5 tptp.t_a)) % 0.34/0.57 (define @t32 () (not @t31)) % 0.34/0.57 (define @t33 () (not @t25)) % 0.34/0.57 (define @t34 () (or @t33 @t32 @t30 @t7)) % 0.34/0.57 (define @t35 () (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_a)) % 0.34/0.57 (define @t36 () (or @t26 @t35)) % 0.34/0.57 (define @t37 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_a)) % 0.34/0.57 (define @t38 () (or @t26 @t37)) % 0.34/0.57 (define @t39 () (tptp.c_lessequals tptp.c_0 @t3 tptp.t_a)) % 0.34/0.57 (define @t40 () (not @t37)) % 0.34/0.57 (define @t41 () (or @t40 @t39)) % 0.34/0.57 (define @t42 () (tptp.c_lessequals tptp.v_c @t4 tptp.t_a)) % 0.34/0.57 (define @t43 () (or @t40 @t42)) % 0.34/0.57 (define @t44 () (not @t39)) % 0.34/0.57 (define @t45 () (not @t42)) % 0.34/0.57 (define @t46 () (not @t35)) % 0.34/0.57 (define @t47 () (or @t46 @t45 @t44 @t31)) % 0.34/0.57 (define @t48 () (not @t47)) % 0.34/0.57 (assume @p1 (forall (@list @t1) (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_h @t1) tptp.t_a) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_f @t1) tptp.t_a) tptp.t_a) tptp.t_a))) % 0.34/0.57 (assume @p2 (not @t7)) % 0.34/0.57 (assume @p3 @t8) % 0.34/0.57 (assume @p4 (forall @t13 (or @t12 (tptp.c_lessequals @t10 @t11 @t9)))) % 0.34/0.57 (assume @p5 (forall @t13 (or @t12 (tptp.c_lessequals tptp.c_0 @t11 @t9)))) % 0.34/0.57 (assume @p6 (forall (@list @t9 @t16 @t14 @t15) (or (not (tptp.class_Orderings_Oorder @t9)) (not (tptp.c_lessequals @t16 @t14 @t9)) (not (tptp.c_lessequals @t15 @t16 @t9)) (tptp.c_lessequals @t15 @t14 @t9)))) % 0.34/0.57 (assume @p7 @t19) % 0.34/0.57 (assume @p8 (forall @t22 (or @t21 (tptp.class_Ring__and__Field_Opordered__semiring @t20)))) % 0.34/0.57 (assume @p9 (forall @t22 (or @t21 (tptp.class_Orderings_Oorder @t20)))) % 0.34/0.57 (assume @p10 (forall @t22 (or @t21 (tptp.class_OrderedGroup_Olordered__ab__group__abs @t20)))) % 0.34/0.57 (step @p11 :rule instantiate :premises (@p6) :args ((@list tptp.t_a @t23 @t5 @t6))) % 0.34/0.57 (step @p12 :rule instantiate :premises (@p9) :args (@t24)) % 0.34/0.57 (step @p13 :rule cnf_or_pos :args (@t27)) % 0.34/0.57 (step @p14 :rule reordering :premises (@p13) :args ((or @t26 @t25 (not @t27)))) % 0.34/0.57 (step @p15 :rule chain_m_resolution :premises (@p14 @p3 @p12) :args (@t25 @t28 (@list @t8 @t27))) % 0.34/0.57 (step @p16 :rule instantiate :premises (@p1) :args ((@list tptp.v_x))) % 0.34/0.57 (step @p17 :rule cnf_or_pos :args (@t34)) % 0.34/0.57 (step @p18 :rule reordering :premises (@p17) :args ((or @t7 @t30 @t33 @t32 (not @t34)))) % 0.34/0.57 (step @p19 :rule chain_m_resolution :premises (@p18 @p2 @p16 @p15 @p11) :args (@t32 (@list true false false false) (@list @t7 @t29 @t25 @t34))) % 0.34/0.57 (step @p20 :rule instantiate :premises (@p8) :args (@t24)) % 0.34/0.57 (step @p21 :rule cnf_or_pos :args (@t36)) % 0.34/0.57 (step @p22 :rule reordering :premises (@p21) :args ((or @t26 @t35 (not @t36)))) % 0.34/0.57 (step @p23 :rule chain_m_resolution :premises (@p22 @p3 @p20) :args (@t35 @t28 (@list @t8 @t36))) % 0.34/0.57 (step @p24 :rule instantiate :premises (@p5) :args ((@list tptp.t_a @t2))) % 0.34/0.57 (step @p25 :rule instantiate :premises (@p10) :args (@t24)) % 0.34/0.57 (step @p26 :rule cnf_or_pos :args (@t38)) % 0.34/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t26 @t37 (not @t38)))) % 0.34/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p3 @p25) :args (@t37 @t28 (@list @t8 @t38))) % 0.34/0.57 (step @p29 :rule cnf_or_pos :args (@t41)) % 0.34/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t40 @t39 (not @t41)))) % 0.34/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p28 @p24) :args (@t39 @t28 (@list @t37 @t41))) % 0.34/0.57 (step @p32 :rule instantiate :premises (@p4) :args ((@list tptp.t_a tptp.v_c))) % 0.34/0.57 (step @p33 :rule cnf_or_pos :args (@t43)) % 0.34/0.57 (step @p34 :rule reordering :premises (@p33) :args ((or @t40 @t42 (not @t43)))) % 0.34/0.57 (step @p35 :rule chain_m_resolution :premises (@p34 @p28 @p32) :args (@t42 @t28 (@list @t37 @t43))) % 0.34/0.57 (step @p36 :rule cnf_or_pos :args (@t47)) % 0.34/0.57 (step @p37 :rule reordering :premises (@p36) :args ((or @t45 @t44 @t46 @t31 @t48))) % 0.34/0.57 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p31 @p23 @p19) :args (@t48 (@list false false false true) (@list @t42 @t39 @t35 @t31))) % 0.34/0.57 (assume-push @p45 @t19) % 0.34/0.57 (step @p40 :rule instantiate :premises (@p7) :args ((@list tptp.t_a tptp.v_c @t4 @t3))) % 0.34/0.57 (step-pop @p46 :rule scope :premises (@p40)) % 0.34/0.57 (step @p41 :rule process_scope :premises (@p46) :args (@t47)) % 0.34/0.57 (step @p43 :rule implies_elim :premises (@p41)) % 0.34/0.57 (step @p44 false :rule chain_m_resolution :premises (@p43 @p38 @p7) :args (false (@list true false) (@list @t47 @t19))) % 0.34/0.57 ) % 0.34/0.57 % SZS output end Proof % 0.34/0.57 % cvc5 exiting %------------------------------------------------------------------------------