%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA024-2 : 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 : n025.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 08:06:34 AM UTC 2026 % Result : Unsatisfiable 0.29s 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 : ANA024-2 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n025.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 02:19:01 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.56 % SZS status Unsatisfiable % 0.29/0.56 % SZS output start Proof % 0.37/0.56 ( % 0.37/0.56 (declare-sort $$unsorted 0) % 0.37/0.56 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.v_x $$unsorted) % 0.37/0.56 (declare-const tptp.t_b $$unsorted) % 0.37/0.56 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.v_k (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.37/0.56 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.56 (define @t1 () (@var "T_a" $$unsorted)) % 0.37/0.56 (define @t2 () (@var "V_b" $$unsorted)) % 0.37/0.56 (define @t3 () (@var "V_a" $$unsorted)) % 0.37/0.56 (define @t4 () (@var "V_c" $$unsorted)) % 0.37/0.56 (define @t5 () (@var "V_U" $$unsorted)) % 0.37/0.56 (define @t6 () (tptp.v_g tptp.v_x)) % 0.37/0.56 (define @t7 () (tptp.v_f tptp.v_x)) % 0.37/0.56 (define @t8 () (tptp.v_k tptp.v_x)) % 0.37/0.56 (define @t9 () (tptp.c_minus @t8 @t6 tptp.t_b)) % 0.37/0.56 (define @t10 () (tptp.c_lessequals @t9 (tptp.c_minus @t7 @t6 tptp.t_b) tptp.t_b)) % 0.37/0.56 (define @t11 () (@var "T" $$unsorted)) % 0.37/0.56 (define @t12 () (tptp.class_OrderedGroup_Opordered__ab__group__add @t11)) % 0.37/0.56 (define @t13 () (@list @t11)) % 0.37/0.56 (define @t14 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.37/0.56 (define @t15 () (@list tptp.t_b)) % 0.37/0.56 (define @t16 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) % 0.37/0.56 (define @t17 () (not @t14)) % 0.37/0.56 (define @t18 () (or @t17 @t16)) % 0.37/0.56 (define @t19 () (@list false false)) % 0.37/0.56 (define @t20 () (tptp.class_OrderedGroup_Oab__group__add tptp.t_b)) % 0.37/0.56 (define @t21 () (not @t16)) % 0.37/0.56 (define @t22 () (or @t21 @t20)) % 0.37/0.56 (define @t23 () (tptp.c_plus @t9 @t6 tptp.t_b)) % 0.37/0.56 (define @t24 () (= @t8 @t23)) % 0.37/0.56 (define @t25 () (not @t20)) % 0.37/0.56 (define @t26 () (or @t25 @t24)) % 0.37/0.56 (define @t27 () (tptp.c_lessequals @t23 @t7 tptp.t_b)) % 0.37/0.56 (define @t28 () (not @t27)) % 0.37/0.56 (define @t29 () (or @t21 @t28 @t10)) % 0.37/0.56 (assume @p1 (forall (@list @t1 @t3 @t2) (or (not (tptp.class_OrderedGroup_Oab__group__add @t1)) (= @t3 (tptp.c_plus (tptp.c_minus @t3 @t2 @t1) @t2 @t1))))) % 0.37/0.56 (assume @p2 (forall (@list @t1 @t3 @t2 @t4) (or (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1)) (not (tptp.c_lessequals (tptp.c_plus @t3 @t2 @t1) @t4 @t1)) (tptp.c_lessequals @t3 (tptp.c_minus @t4 @t2 @t1) @t1)))) % 0.37/0.56 (assume @p3 (forall (@list @t5) (tptp.c_lessequals (tptp.v_k @t5) (tptp.v_f @t5) tptp.t_b))) % 0.37/0.56 (assume @p4 (not @t10)) % 0.37/0.56 (assume @p5 (forall @t13 (or (not @t12) (tptp.class_OrderedGroup_Oab__group__add @t11)))) % 0.37/0.56 (assume @p6 (forall @t13 (or (not (tptp.class_Ring__and__Field_Oordered__idom @t11)) @t12))) % 0.37/0.56 (assume @p7 @t14) % 0.37/0.56 (step @p8 :rule evaluate :args ((= false true))) % 0.37/0.56 (step @p9 :rule instantiate :premises (@p3) :args ((@list tptp.v_x))) % 0.37/0.56 (step @p10 :rule true_intro :premises (@p9)) % 0.37/0.56 (step @p11 :rule refl :args (tptp.t_b)) % 0.37/0.56 (step @p12 :rule refl :args (@t7)) % 0.37/0.56 (step @p13 :rule instantiate :premises (@p1) :args ((@list tptp.t_b @t8 @t6))) % 0.37/0.56 (step @p14 :rule instantiate :premises (@p5) :args (@t15)) % 0.37/0.56 (step @p15 :rule instantiate :premises (@p6) :args (@t15)) % 0.37/0.56 (step @p16 :rule cnf_or_pos :args (@t18)) % 0.37/0.56 (step @p17 :rule reordering :premises (@p16) :args ((or @t17 @t16 (not @t18)))) % 0.37/0.56 (step @p18 :rule chain_m_resolution :premises (@p17 @p7 @p15) :args (@t16 @t19 (@list @t14 @t18))) % 0.37/0.56 (step @p19 :rule cnf_or_pos :args (@t22)) % 0.37/0.56 (step @p20 :rule reordering :premises (@p19) :args ((or @t20 @t21 (not @t22)))) % 0.37/0.56 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p14) :args (@t20 @t19 (@list @t16 @t22))) % 0.37/0.56 (step @p22 :rule cnf_or_pos :args (@t26)) % 0.37/0.56 (step @p23 :rule reordering :premises (@p22) :args ((or @t25 @t24 (not @t26)))) % 0.37/0.56 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p13) :args (@t24 @t19 (@list @t20 @t26))) % 0.37/0.56 (step @p25 :rule symm :premises (@p24)) % 0.37/0.56 (step @p26 :rule cong :premises (@p25 @p12 @p11) :args (@t27)) % 0.37/0.56 (step @p27 :rule instantiate :premises (@p2) :args ((@list tptp.t_b @t9 @t6 @t7))) % 0.37/0.56 (step @p28 :rule cnf_or_pos :args (@t29)) % 0.37/0.56 (step @p29 :rule reordering :premises (@p28) :args ((or @t10 @t21 @t28 (not @t29)))) % 0.37/0.56 (step @p30 :rule chain_m_resolution :premises (@p29 @p4 @p18 @p27) :args (@t28 (@list true false false) (@list @t10 @t16 @t29))) % 0.37/0.56 (step @p31 :rule false_intro :premises (@p30)) % 0.37/0.56 (step @p32 :rule symm :premises (@p31)) % 0.37/0.56 (step @p33 :rule trans :premises (@p32 @p26 @p10)) % 0.37/0.56 (step @p34 false :rule eq_resolve :premises (@p33 @p8)) % 0.37/0.56 ) % 0.37/0.56 % SZS output end Proof % 0.37/0.56 % cvc5 exiting %------------------------------------------------------------------------------