%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA038-2 : 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 : n009.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 0.37s 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 : ANA038-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n009.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % 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 02:19:59 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- 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 $$unsorted 0) % 0.37/0.57 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v_xa $$unsorted) % 0.37/0.57 (declare-const tptp.c_Orderings_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_b (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_0 $$unsorted) % 0.37/0.57 (declare-const tptp.v_c $$unsorted) % 0.37/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v_ca $$unsorted) % 0.37/0.57 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.t_b $$unsorted) % 0.37/0.57 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (tptp.v_g tptp.v_xa)) % 0.37/0.57 (define @t2 () (tptp.c_lessequals tptp.c_0 @t1 tptp.t_b)) % 0.37/0.57 (define @t3 () (tptp.c_times tptp.v_ca @t1 tptp.t_b)) % 0.37/0.57 (define @t4 () (tptp.c_HOL_Oabs (tptp.v_b tptp.v_xa) tptp.t_b)) % 0.37/0.57 (define @t5 () (tptp.c_lessequals @t4 @t3 tptp.t_b)) % 0.37/0.57 (define @t6 () (tptp.c_Orderings_Omax tptp.v_c tptp.v_ca tptp.t_b)) % 0.37/0.57 (define @t7 () (tptp.c_times @t6 @t1 tptp.t_b)) % 0.37/0.57 (define @t8 () (tptp.c_lessequals @t4 @t7 tptp.t_b)) % 0.37/0.57 (define @t9 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.37/0.57 (define @t10 () (@var "T_b" $$unsorted)) % 0.37/0.57 (define @t11 () (@var "V_y" $$unsorted)) % 0.37/0.57 (define @t12 () (@var "V_x" $$unsorted)) % 0.37/0.57 (define @t13 () (@var "T_a" $$unsorted)) % 0.37/0.57 (define @t14 () (@var "V_z" $$unsorted)) % 0.37/0.57 (define @t15 () (@var "V_c" $$unsorted)) % 0.37/0.57 (define @t16 () (@var "V_b" $$unsorted)) % 0.37/0.57 (define @t17 () (@var "V_a" $$unsorted)) % 0.37/0.57 (define @t18 () (forall (@list @t13 @t17 @t16 @t15) (or (not (tptp.class_Ring__and__Field_Opordered__semiring @t13)) (not (tptp.c_lessequals @t17 @t16 @t13)) (not (tptp.c_lessequals tptp.c_0 @t15 @t13)) (tptp.c_lessequals (tptp.c_times @t17 @t15 @t13) (tptp.c_times @t16 @t15 @t13) @t13)))) % 0.37/0.57 (define @t19 () (@var "T" $$unsorted)) % 0.37/0.57 (define @t20 () (not (tptp.class_Ring__and__Field_Oordered__idom @t19))) % 0.37/0.57 (define @t21 () (@list @t19)) % 0.37/0.57 (define @t22 () (@list tptp.t_b)) % 0.37/0.57 (define @t23 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.37/0.57 (define @t24 () (not @t9)) % 0.37/0.57 (define @t25 () (or @t24 @t23)) % 0.37/0.57 (define @t26 () (@list false false)) % 0.37/0.57 (define @t27 () (not @t5)) % 0.37/0.57 (define @t28 () (tptp.c_lessequals @t3 @t7 tptp.t_b)) % 0.37/0.57 (define @t29 () (not @t28)) % 0.37/0.57 (define @t30 () (not @t23)) % 0.37/0.57 (define @t31 () (or @t30 @t29 @t27 @t8)) % 0.37/0.57 (define @t32 () (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b)) % 0.37/0.57 (define @t33 () (or @t24 @t32)) % 0.37/0.57 (define @t34 () (tptp.class_Orderings_Olinorder tptp.t_b)) % 0.37/0.57 (define @t35 () (or @t24 @t34)) % 0.37/0.57 (define @t36 () (tptp.c_lessequals tptp.v_ca @t6 tptp.t_b)) % 0.37/0.57 (define @t37 () (not @t34)) % 0.37/0.57 (define @t38 () (or @t37 @t36)) % 0.37/0.57 (define @t39 () (not @t2)) % 0.37/0.57 (define @t40 () (not @t36)) % 0.37/0.57 (define @t41 () (not @t32)) % 0.37/0.57 (define @t42 () (or @t41 @t40 @t39 @t28)) % 0.37/0.57 (define @t43 () (not @t42)) % 0.37/0.57 (assume @p1 @t2) % 0.37/0.57 (assume @p2 @t5) % 0.37/0.57 (assume @p3 (not @t8)) % 0.37/0.57 (assume @p4 @t9) % 0.37/0.57 (assume @p5 (forall (@list @t10 @t11 @t12) (or (not (tptp.class_Orderings_Olinorder @t10)) (tptp.c_lessequals @t11 (tptp.c_Orderings_Omax @t12 @t11 @t10) @t10)))) % 0.37/0.57 (assume @p6 (forall (@list @t13 @t11 @t14 @t12) (or (not (tptp.class_Orderings_Oorder @t13)) (not (tptp.c_lessequals @t11 @t14 @t13)) (not (tptp.c_lessequals @t12 @t11 @t13)) (tptp.c_lessequals @t12 @t14 @t13)))) % 0.37/0.57 (assume @p7 @t18) % 0.37/0.57 (assume @p8 (forall @t21 (or @t20 (tptp.class_Orderings_Olinorder @t19)))) % 0.37/0.57 (assume @p9 (forall @t21 (or @t20 (tptp.class_Ring__and__Field_Opordered__semiring @t19)))) % 0.37/0.57 (assume @p10 (forall @t21 (or @t20 (tptp.class_Orderings_Oorder @t19)))) % 0.37/0.57 (step @p11 :rule instantiate :premises (@p6) :args ((@list tptp.t_b @t3 @t7 @t4))) % 0.37/0.57 (step @p12 :rule instantiate :premises (@p10) :args (@t22)) % 0.37/0.57 (step @p13 :rule cnf_or_pos :args (@t25)) % 0.37/0.57 (step @p14 :rule reordering :premises (@p13) :args ((or @t24 @t23 (not @t25)))) % 0.37/0.57 (step @p15 :rule chain_m_resolution :premises (@p14 @p4 @p12) :args (@t23 @t26 (@list @t9 @t25))) % 0.37/0.57 (step @p16 :rule cnf_or_pos :args (@t31)) % 0.37/0.57 (step @p17 :rule reordering :premises (@p16) :args ((or @t8 @t27 @t30 @t29 (not @t31)))) % 0.37/0.57 (step @p18 :rule chain_m_resolution :premises (@p17 @p3 @p2 @p15 @p11) :args (@t29 (@list true false false false) (@list @t8 @t5 @t23 @t31))) % 0.37/0.57 (step @p19 :rule instantiate :premises (@p9) :args (@t22)) % 0.37/0.57 (step @p20 :rule cnf_or_pos :args (@t33)) % 0.37/0.57 (step @p21 :rule reordering :premises (@p20) :args ((or @t24 @t32 (not @t33)))) % 0.37/0.57 (step @p22 :rule chain_m_resolution :premises (@p21 @p4 @p19) :args (@t32 @t26 (@list @t9 @t33))) % 0.37/0.57 (step @p23 :rule instantiate :premises (@p5) :args ((@list tptp.t_b tptp.v_ca tptp.v_c))) % 0.37/0.57 (step @p24 :rule instantiate :premises (@p8) :args (@t22)) % 0.37/0.57 (step @p25 :rule cnf_or_pos :args (@t35)) % 0.37/0.57 (step @p26 :rule reordering :premises (@p25) :args ((or @t24 @t34 (not @t35)))) % 0.37/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p4 @p24) :args (@t34 @t26 (@list @t9 @t35))) % 0.37/0.57 (step @p28 :rule cnf_or_pos :args (@t38)) % 0.37/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t37 @t36 (not @t38)))) % 0.37/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p23) :args (@t36 @t26 (@list @t34 @t38))) % 0.37/0.57 (step @p31 :rule cnf_or_pos :args (@t42)) % 0.37/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t39 @t40 @t41 @t28 @t43))) % 0.37/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p1 @p30 @p22 @p18) :args (@t43 (@list false false false true) (@list @t2 @t36 @t32 @t28))) % 0.37/0.57 (assume-push @p40 @t18) % 0.37/0.57 (step @p35 :rule instantiate :premises (@p7) :args ((@list tptp.t_b tptp.v_ca @t6 @t1))) % 0.37/0.57 (step-pop @p41 :rule scope :premises (@p35)) % 0.37/0.57 (step @p36 :rule process_scope :premises (@p41) :args (@t42)) % 0.37/0.57 (step @p38 :rule implies_elim :premises (@p36)) % 0.37/0.57 (step @p39 false :rule chain_m_resolution :premises (@p38 @p33 @p7) :args (false (@list true false) (@list @t42 @t18))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------