%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA018-2 : 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 : n028.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 08:06:32 AM UTC 2026 % Result : Unsatisfiable 0.38s 0.56s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA018-2 : 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 % 0.16/0.34 % Computer : n028.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 02:18:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.56 % SZS status Unsatisfiable % 0.38/0.56 % SZS output start Proof % 0.38/0.56 ( % 0.38/0.56 (declare-sort $$unsorted 0) % 0.38/0.56 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.class_OrderedGroup_Osemigroup__mult (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.t_b $$unsorted) % 0.38/0.56 (declare-const tptp.c_0 $$unsorted) % 0.38/0.56 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.38/0.56 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.v_ca $$unsorted) % 0.38/0.56 (declare-const tptp.class_LOrder_Ojoin__semilorder (-> $$unsorted Bool)) % 0.38/0.56 (declare-const tptp.v_xa $$unsorted) % 0.38/0.56 (declare-const tptp.v_c $$unsorted) % 0.38/0.56 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.38/0.56 (define @t1 () (@var "V_U" $$unsorted)) % 0.38/0.56 (define @t2 () (tptp.c_HOL_Oabs (tptp.v_f @t1) tptp.t_b)) % 0.38/0.56 (define @t3 () (@list @t1)) % 0.38/0.56 (define @t4 () (tptp.c_less tptp.c_0 tptp.v_ca tptp.t_b)) % 0.38/0.56 (define @t5 () (tptp.c_HOL_Oabs (tptp.v_g tptp.v_xa) tptp.t_b)) % 0.38/0.56 (define @t6 () (tptp.c_times (tptp.c_times tptp.v_ca tptp.v_c tptp.t_b) @t5 tptp.t_b)) % 0.38/0.56 (define @t7 () (tptp.c_HOL_Oabs (tptp.v_x tptp.v_xa) tptp.t_b)) % 0.38/0.56 (define @t8 () (tptp.c_lessequals @t7 @t6 tptp.t_b)) % 0.38/0.56 (define @t9 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.38/0.56 (define @t10 () (@var "T_a" $$unsorted)) % 0.38/0.56 (define @t11 () (@var "V_c" $$unsorted)) % 0.38/0.56 (define @t12 () (@var "V_b" $$unsorted)) % 0.38/0.56 (define @t13 () (@var "V_a" $$unsorted)) % 0.38/0.56 (define @t14 () (@list @t10 @t13 @t12 @t11)) % 0.38/0.56 (define @t15 () (@var "V_z" $$unsorted)) % 0.38/0.56 (define @t16 () (@var "V_x" $$unsorted)) % 0.38/0.56 (define @t17 () (@var "V_y" $$unsorted)) % 0.38/0.56 (define @t18 () (tptp.c_lessequals @t16 @t17 @t10)) % 0.38/0.56 (define @t19 () (not (tptp.class_Orderings_Oorder @t10))) % 0.38/0.56 (define @t20 () (@var "T" $$unsorted)) % 0.38/0.56 (define @t21 () (tptp.class_LOrder_Ojoin__semilorder @t20)) % 0.38/0.56 (define @t22 () (@list @t20)) % 0.38/0.56 (define @t23 () (not (tptp.class_Ring__and__Field_Oordered__idom @t20))) % 0.38/0.56 (define @t24 () (tptp.c_times tptp.v_c @t5 tptp.t_b)) % 0.38/0.56 (define @t25 () (tptp.c_HOL_Oabs (tptp.v_f tptp.v_xa) tptp.t_b)) % 0.38/0.56 (define @t26 () (@list tptp.t_b)) % 0.38/0.56 (define @t27 () (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b)) % 0.38/0.56 (define @t28 () (not @t9)) % 0.38/0.56 (define @t29 () (or @t28 @t27)) % 0.38/0.56 (define @t30 () (@list false false)) % 0.38/0.56 (define @t31 () (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) % 0.38/0.56 (define @t32 () (or @t28 @t31)) % 0.38/0.56 (define @t33 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.38/0.56 (define @t34 () (not @t31)) % 0.38/0.56 (define @t35 () (or @t34 @t33)) % 0.38/0.56 (define @t36 () (tptp.c_lessequals tptp.c_0 tptp.v_ca tptp.t_b)) % 0.38/0.56 (define @t37 () (not @t4)) % 0.38/0.56 (define @t38 () (not @t33)) % 0.38/0.56 (define @t39 () (or @t38 @t37 @t36)) % 0.38/0.56 (define @t40 () (@list tptp.v_xa)) % 0.38/0.56 (define @t41 () (tptp.c_times tptp.v_ca @t24 tptp.t_b)) % 0.38/0.56 (define @t42 () (tptp.c_times tptp.v_ca @t25 tptp.t_b)) % 0.38/0.56 (define @t43 () (tptp.c_lessequals @t42 @t41 tptp.t_b)) % 0.38/0.56 (define @t44 () (not @t36)) % 0.38/0.56 (define @t45 () (tptp.c_lessequals @t25 @t24 tptp.t_b)) % 0.38/0.56 (define @t46 () (not @t45)) % 0.38/0.56 (define @t47 () (not @t27)) % 0.38/0.56 (define @t48 () (or @t47 @t46 @t44 @t43)) % 0.38/0.56 (define @t49 () (tptp.class_OrderedGroup_Osemigroup__mult tptp.t_b)) % 0.38/0.56 (define @t50 () (or @t28 @t49)) % 0.38/0.56 (define @t51 () (= @t6 @t41)) % 0.38/0.56 (define @t52 () (not @t49)) % 0.38/0.56 (define @t53 () (or @t52 @t51)) % 0.38/0.56 (define @t54 () (tptp.c_lessequals @t42 @t6 tptp.t_b)) % 0.38/0.56 (define @t55 () (tptp.c_lessequals @t7 @t42 tptp.t_b)) % 0.38/0.56 (define @t56 () (not @t55)) % 0.38/0.56 (define @t57 () (not @t54)) % 0.38/0.56 (define @t58 () (or @t38 @t57 @t56 @t8)) % 0.38/0.56 (assume @p1 (forall @t3 (tptp.c_lessequals @t2 (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_g @t1) tptp.t_b) tptp.t_b) tptp.t_b))) % 0.38/0.56 (assume @p2 @t4) % 0.38/0.56 (assume @p3 (forall @t3 (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_x @t1) tptp.t_b) (tptp.c_times tptp.v_ca @t2 tptp.t_b) tptp.t_b))) % 0.38/0.56 (assume @p4 (not @t8)) % 0.38/0.56 (assume @p5 @t9) % 0.38/0.56 (assume @p6 (forall @t14 (or (not (tptp.class_OrderedGroup_Osemigroup__mult @t10)) (= (tptp.c_times (tptp.c_times @t13 @t12 @t10) @t11 @t10) (tptp.c_times @t13 (tptp.c_times @t12 @t11 @t10) @t10))))) % 0.38/0.56 (assume @p7 (forall (@list @t10 @t17 @t15 @t16) (or @t19 (not (tptp.c_lessequals @t17 @t15 @t10)) (not @t18) (tptp.c_lessequals @t16 @t15 @t10)))) % 0.38/0.56 (assume @p8 (forall (@list @t10 @t16 @t17) (or @t19 (not (tptp.c_less @t16 @t17 @t10)) @t18))) % 0.38/0.56 (assume @p9 (forall @t14 (or (not (tptp.class_Ring__and__Field_Opordered__semiring @t10)) (not (tptp.c_lessequals @t13 @t12 @t10)) (not (tptp.c_lessequals tptp.c_0 @t11 @t10)) (tptp.c_lessequals (tptp.c_times @t11 @t13 @t10) (tptp.c_times @t11 @t12 @t10) @t10)))) % 0.38/0.56 (assume @p10 (forall @t22 (or (not @t21) (tptp.class_Orderings_Oorder @t20)))) % 0.38/0.56 (assume @p11 (forall @t22 (or @t23 (tptp.class_OrderedGroup_Osemigroup__mult @t20)))) % 0.38/0.56 (assume @p12 (forall @t22 (or @t23 @t21))) % 0.38/0.56 (assume @p13 (forall @t22 (or @t23 (tptp.class_Ring__and__Field_Opordered__semiring @t20)))) % 0.38/0.56 (step @p14 :rule evaluate :args ((= false true))) % 0.38/0.56 (step @p15 :rule instantiate :premises (@p9) :args ((@list tptp.t_b @t25 @t24 tptp.v_ca))) % 0.38/0.56 (step @p16 :rule instantiate :premises (@p13) :args (@t26)) % 0.38/0.56 (step @p17 :rule cnf_or_pos :args (@t29)) % 0.38/0.56 (step @p18 :rule reordering :premises (@p17) :args ((or @t28 @t27 (not @t29)))) % 0.38/0.56 (step @p19 :rule chain_m_resolution :premises (@p18 @p5 @p16) :args (@t27 @t30 (@list @t9 @t29))) % 0.38/0.56 (step @p20 :rule instantiate :premises (@p8) :args ((@list tptp.t_b tptp.c_0 tptp.v_ca))) % 0.38/0.56 (step @p21 :rule instantiate :premises (@p10) :args (@t26)) % 0.38/0.56 (step @p22 :rule instantiate :premises (@p12) :args (@t26)) % 0.38/0.56 (step @p23 :rule cnf_or_pos :args (@t32)) % 0.38/0.56 (step @p24 :rule reordering :premises (@p23) :args ((or @t28 @t31 (not @t32)))) % 0.38/0.56 (step @p25 :rule chain_m_resolution :premises (@p24 @p5 @p22) :args (@t31 @t30 (@list @t9 @t32))) % 0.38/0.56 (step @p26 :rule cnf_or_pos :args (@t35)) % 0.38/0.56 (step @p27 :rule reordering :premises (@p26) :args ((or @t33 @t34 (not @t35)))) % 0.38/0.56 (step @p28 :rule chain_m_resolution :premises (@p27 @p25 @p21) :args (@t33 @t30 (@list @t31 @t35))) % 0.38/0.56 (step @p29 :rule cnf_or_pos :args (@t39)) % 0.38/0.56 (step @p30 :rule reordering :premises (@p29) :args ((or @t37 @t38 @t36 (not @t39)))) % 0.38/0.56 (step @p31 :rule chain_m_resolution :premises (@p30 @p2 @p28 @p20) :args (@t36 (@list false false false) (@list @t4 @t33 @t39))) % 0.38/0.56 (step @p32 :rule instantiate :premises (@p1) :args (@t40)) % 0.38/0.56 (step @p33 :rule cnf_or_pos :args (@t48)) % 0.38/0.56 (step @p34 :rule reordering :premises (@p33) :args ((or @t46 @t44 @t47 @t43 (not @t48)))) % 0.38/0.56 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31 @p19 @p15) :args (@t43 (@list false false false false) (@list @t45 @t36 @t27 @t48))) % 0.38/0.56 (step @p36 :rule true_intro :premises (@p35)) % 0.38/0.56 (step @p37 :rule refl :args (tptp.t_b)) % 0.38/0.56 (step @p38 :rule instantiate :premises (@p6) :args ((@list tptp.t_b tptp.v_ca tptp.v_c @t5))) % 0.38/0.56 (step @p39 :rule instantiate :premises (@p11) :args (@t26)) % 0.38/0.56 (step @p40 :rule cnf_or_pos :args (@t50)) % 0.38/0.56 (step @p41 :rule reordering :premises (@p40) :args ((or @t28 @t49 (not @t50)))) % 0.38/0.56 (step @p42 :rule chain_m_resolution :premises (@p41 @p5 @p39) :args (@t49 @t30 (@list @t9 @t50))) % 0.38/0.56 (step @p43 :rule cnf_or_pos :args (@t53)) % 0.38/0.56 (step @p44 :rule reordering :premises (@p43) :args ((or @t52 @t51 (not @t53)))) % 0.38/0.56 (step @p45 :rule chain_m_resolution :premises (@p44 @p42 @p38) :args (@t51 @t30 (@list @t49 @t53))) % 0.38/0.56 (step @p46 :rule refl :args (@t42)) % 0.38/0.56 (step @p47 :rule cong :premises (@p46 @p45 @p37) :args (@t54)) % 0.38/0.56 (step @p48 :rule instantiate :premises (@p7) :args ((@list tptp.t_b @t42 @t6 @t7))) % 0.38/0.56 (step @p49 :rule instantiate :premises (@p3) :args (@t40)) % 0.38/0.56 (step @p50 :rule cnf_or_pos :args (@t58)) % 0.38/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t8 @t38 @t56 @t57 (not @t58)))) % 0.38/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p4 @p28 @p49 @p48) :args (@t57 (@list true false false false) (@list @t8 @t33 @t55 @t58))) % 0.38/0.56 (step @p53 :rule false_intro :premises (@p52)) % 0.38/0.56 (step @p54 :rule symm :premises (@p53)) % 0.38/0.56 (step @p55 :rule trans :premises (@p54 @p47 @p36)) % 0.38/0.56 (step @p56 false :rule eq_resolve :premises (@p55 @p14)) % 0.38/0.56 ) % 0.38/0.56 % SZS output end Proof % 0.38/0.56 % cvc5 exiting %------------------------------------------------------------------------------