%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA010-2 : 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 : n020.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 19.32s 19.59s % Output : Proof 19.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA010-2 : 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 : n020.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 02:17:10 EDT 2026 % 0.16/0.34 % CPUTime : % 0.29/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 15.31/15.55 --- Run --no-e-matching --full-saturate-quant at 6... % 19.32/19.59 % SZS status Unsatisfiable % 19.32/19.59 % SZS output start Proof % 19.32/19.59 ( % 19.32/19.59 (declare-sort $$unsorted 0) % 19.32/19.59 (declare-const tptp.v_c $$unsorted) % 19.32/19.59 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 19.32/19.59 (declare-const tptp.t_b $$unsorted) % 19.32/19.59 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 19.32/19.59 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 19.32/19.59 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 19.32/19.59 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 19.32/19.59 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 19.32/19.59 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 19.32/19.59 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 19.32/19.59 (declare-const tptp.c_0 $$unsorted) % 19.32/19.59 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 19.32/19.59 (define @t1 () (@var "V_y" $$unsorted)) % 19.32/19.59 (define @t2 () (@var "T_a" $$unsorted)) % 19.32/19.59 (define @t3 () (tptp.c_HOL_Oabs @t1 @t2)) % 19.32/19.59 (define @t4 () (not (tptp.c_lessequals tptp.c_0 @t1 @t2))) % 19.32/19.59 (define @t5 () (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t2))) % 19.32/19.59 (define @t6 () (or @t5 @t4 (= @t3 @t1))) % 19.32/19.59 (define @t7 () (forall (@list @t2 @t1) @t6)) % 19.32/19.59 (define @t8 () (@var "V_z" $$unsorted)) % 19.32/19.59 (define @t9 () (@var "V_x" $$unsorted)) % 19.32/19.59 (define @t10 () (@var "V_b" $$unsorted)) % 19.32/19.59 (define @t11 () (@var "V_a" $$unsorted)) % 19.32/19.59 (define @t12 () (forall (@list @t2 @t11 @t10) (or (not (tptp.class_Ring__and__Field_Oordered__idom @t2)) (= (tptp.c_HOL_Oabs (tptp.c_times @t11 @t10 @t2) @t2) (tptp.c_times (tptp.c_HOL_Oabs @t11 @t2) (tptp.c_HOL_Oabs @t10 @t2) @t2))))) % 19.32/19.59 (define @t13 () (@var "V_U" $$unsorted)) % 19.32/19.59 (define @t14 () (tptp.v_f @t13)) % 19.32/19.59 (define @t15 () (@list @t13)) % 19.32/19.59 (define @t16 () (tptp.v_x @t13)) % 19.32/19.59 (define @t17 () (@var "T" $$unsorted)) % 19.32/19.59 (define @t18 () (tptp.class_OrderedGroup_Olordered__ab__group__abs @t17)) % 19.32/19.59 (define @t19 () (@list @t17)) % 19.32/19.59 (define @t20 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 19.32/19.59 (define @t21 () (tptp.c_HOL_Oabs tptp.v_c tptp.t_b)) % 19.32/19.59 (define @t22 () (tptp.v_x @t21)) % 19.32/19.59 (define @t23 () (tptp.v_g @t22)) % 19.32/19.59 (define @t24 () (tptp.c_times tptp.v_c @t23 tptp.t_b)) % 19.32/19.59 (define @t25 () (tptp.c_HOL_Oabs @t24 tptp.t_b)) % 19.32/19.59 (define @t26 () (tptp.c_times @t21 (tptp.c_HOL_Oabs @t23 tptp.t_b) tptp.t_b)) % 19.32/19.59 (define @t27 () (not @t20)) % 19.32/19.59 (define @t28 () (or @t27 (= @t25 @t26))) % 19.32/19.59 (define @t29 () (= @t26 @t25)) % 19.32/19.59 (define @t30 () (or @t27 @t29)) % 19.32/19.59 (define @t31 () (@list false false)) % 19.32/19.59 (define @t32 () (tptp.v_f @t22)) % 19.32/19.59 (define @t33 () (@list @t22)) % 19.32/19.59 (define @t34 () (@list tptp.t_b)) % 19.32/19.59 (define @t35 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 19.32/19.59 (define @t36 () (or @t27 @t35)) % 19.32/19.59 (define @t37 () (tptp.class_Orderings_Oorder tptp.t_b)) % 19.32/19.59 (define @t38 () (not @t35)) % 19.32/19.59 (define @t39 () (or @t38 @t37)) % 19.32/19.59 (define @t40 () (tptp.c_lessequals tptp.c_0 @t24 tptp.t_b)) % 19.32/19.59 (define @t41 () (tptp.c_lessequals tptp.c_0 @t32 tptp.t_b)) % 19.32/19.59 (define @t42 () (not @t41)) % 19.32/19.59 (define @t43 () (tptp.c_lessequals @t32 @t24 tptp.t_b)) % 19.32/19.59 (define @t44 () (not @t43)) % 19.32/19.59 (define @t45 () (not @t37)) % 19.32/19.59 (define @t46 () (or @t45 @t44 @t42 @t40)) % 19.32/19.59 (define @t47 () (= @t24 @t25)) % 19.32/19.59 (define @t48 () (not @t40)) % 19.32/19.59 (define @t49 () (or @t38 @t48 @t47)) % 19.32/19.59 (assume @p1 @t7) % 19.32/19.59 (assume @p2 (forall (@list @t2 @t1 @t8 @t9) (or (not (tptp.class_Orderings_Oorder @t2)) (not (tptp.c_lessequals @t1 @t8 @t2)) (not (tptp.c_lessequals @t9 @t1 @t2)) (tptp.c_lessequals @t9 @t8 @t2)))) % 19.32/19.59 (assume @p3 @t12) % 19.32/19.59 (assume @p4 (forall @t15 (tptp.c_lessequals tptp.c_0 @t14 tptp.t_b))) % 19.32/19.59 (assume @p5 (forall @t15 (tptp.c_lessequals @t14 (tptp.c_times tptp.v_c (tptp.v_g @t13) tptp.t_b) tptp.t_b))) % 19.32/19.59 (assume @p6 (forall @t15 (not (tptp.c_lessequals (tptp.v_f @t16) (tptp.c_times @t13 (tptp.c_HOL_Oabs (tptp.v_g @t16) tptp.t_b) tptp.t_b) tptp.t_b)))) % 19.32/19.59 (assume @p7 (forall @t19 (or (not @t18) (tptp.class_Orderings_Oorder @t17)))) % 19.32/19.59 (assume @p8 (forall @t19 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t17)) @t18))) % 19.32/19.59 (assume @p9 @t20) % 19.32/19.59 (step @p10 :rule evaluate :args ((= true false))) % 19.32/19.59 (step @p11 :rule instantiate :premises (@p6) :args ((@list @t21))) % 19.32/19.59 (step @p12 :rule false_intro :premises (@p11)) % 19.32/19.59 (step @p13 :rule refl :args (tptp.t_b)) % 19.32/19.59 (step @p14 :rule eq-symm :args (@t25 @t26)) % 19.32/19.59 (step @p15 :rule refl :args (@t27)) % 19.32/19.59 (step @p16 :rule nary_cong :premises (@p15 @p14) :args (@t28)) % 19.32/19.59 (step @p17 :rule refl :args (@t12)) % 19.32/19.59 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t12 @t28))) % 19.32/19.59 (assume-push @p61 @t12) % 19.32/19.59 (step @p20 :rule instantiate :premises (@p3) :args ((@list tptp.t_b tptp.v_c @t23))) % 19.32/19.59 (step-pop @p62 :rule scope :premises (@p20)) % 19.32/19.59 (step @p21 :rule process_scope :premises (@p62) :args (@t28)) % 19.32/19.59 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 19.32/19.59 (step @p24 :rule implies_elim :premises (@p23)) % 19.32/19.59 (step @p25 :rule chain_m_resolution :premises (@p24 @p3) :args (@t30 (@list false) (@list @t12))) % 19.32/19.59 (step @p26 :rule cnf_or_pos :args (@t30)) % 19.32/19.59 (step @p27 :rule reordering :premises (@p26) :args ((or @t27 @t29 (not @t30)))) % 19.32/19.59 (step @p28 :rule chain_m_resolution :premises (@p27 @p9 @p25) :args (@t29 @t31 (@list @t20 @t30))) % 19.32/19.59 (step @p29 :rule symm :premises (@p28)) % 19.32/19.59 (step @p30 :rule eq-symm :args (@t3 @t1)) % 19.32/19.59 (step @p31 :rule refl :args (@t4)) % 19.32/19.59 (step @p32 :rule refl :args (@t5)) % 19.32/19.59 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args (@t6)) % 19.32/19.59 (step @p34 :rule cong :premises (@p33) :args (@t7)) % 19.32/19.59 (step @p35 :rule eq_resolve :premises (@p1 @p34)) % 19.32/19.59 (step @p36 :rule instantiate :premises (@p35) :args ((@list tptp.t_b @t24))) % 19.32/19.59 (step @p37 :rule instantiate :premises (@p2) :args ((@list tptp.t_b @t32 @t24 tptp.c_0))) % 19.32/19.59 (step @p38 :rule instantiate :premises (@p5) :args (@t33)) % 19.32/19.59 (step @p39 :rule instantiate :premises (@p4) :args (@t33)) % 19.32/19.59 (step @p40 :rule instantiate :premises (@p7) :args (@t34)) % 19.32/19.59 (step @p41 :rule instantiate :premises (@p8) :args (@t34)) % 19.32/19.59 (step @p42 :rule cnf_or_pos :args (@t36)) % 19.32/19.59 (step @p43 :rule reordering :premises (@p42) :args ((or @t27 @t35 (not @t36)))) % 19.32/19.59 (step @p44 :rule chain_m_resolution :premises (@p43 @p9 @p41) :args (@t35 @t31 (@list @t20 @t36))) % 19.32/19.59 (step @p45 :rule cnf_or_pos :args (@t39)) % 19.32/19.59 (step @p46 :rule reordering :premises (@p45) :args ((or @t38 @t37 (not @t39)))) % 19.32/19.59 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p40) :args (@t37 @t31 (@list @t35 @t39))) % 19.32/19.59 (step @p48 :rule cnf_or_pos :args (@t46)) % 19.32/19.59 (step @p49 :rule reordering :premises (@p48) :args ((or @t45 @t42 @t44 @t40 (not @t46)))) % 19.32/19.59 (step @p50 :rule chain_m_resolution :premises (@p49 @p47 @p39 @p38 @p37) :args (@t40 (@list false false false false) (@list @t37 @t41 @t43 @t46))) % 19.32/19.59 (step @p51 :rule cnf_or_pos :args (@t49)) % 19.32/19.59 (step @p52 :rule reordering :premises (@p51) :args ((or @t38 @t48 @t47 (not @t49)))) % 19.32/19.59 (step @p53 :rule chain_m_resolution :premises (@p52 @p44 @p50 @p36) :args (@t47 (@list false false false) (@list @t35 @t40 @t49))) % 19.32/19.59 (step @p54 :rule trans :premises (@p53 @p29)) % 19.32/19.59 (step @p55 :rule refl :args (@t32)) % 19.32/19.59 (step @p56 :rule cong :premises (@p55 @p54 @p13) :args (@t43)) % 19.32/19.59 (step @p57 :rule true_intro :premises (@p38)) % 19.32/19.59 (step @p58 :rule symm :premises (@p57)) % 19.32/19.59 (step @p59 :rule trans :premises (@p58 @p56 @p12)) % 19.32/19.59 (step @p60 false :rule eq_resolve :premises (@p59 @p10)) % 19.32/19.59 ) % 19.32/19.59 % SZS output end Proof % 19.32/19.59 % cvc5 exiting %------------------------------------------------------------------------------