%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA027-2 : 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 : n029.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 08:06:35 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 % 0.12/0.12 % Problem : ANA027-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n029.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Wed Jun 3 02:19:47 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- 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 % 0.38/0.57 ( % 0.38/0.57 (declare-sort $$unsorted 0) % 0.38/0.57 (declare-const tptp.t_b $$unsorted) % 0.38/0.57 (declare-const tptp.class_LOrder_Ojoin__semilorder (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.v_x $$unsorted) % 0.38/0.57 (declare-const tptp.v_k (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c_0 $$unsorted) % 0.38/0.57 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.c_plus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.38/0.57 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.38/0.57 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.38/0.57 (define @t1 () (tptp.v_k tptp.v_x)) % 0.38/0.57 (define @t2 () (tptp.v_f tptp.v_x)) % 0.38/0.57 (define @t3 () (tptp.c_lessequals tptp.c_0 (tptp.c_minus @t2 @t1 tptp.t_b) tptp.t_b)) % 0.38/0.57 (define @t4 () (tptp.v_g tptp.v_x)) % 0.38/0.57 (define @t5 () (tptp.c_lessequals tptp.c_0 (tptp.c_minus @t2 @t4 tptp.t_b) tptp.t_b)) % 0.38/0.57 (define @t6 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.38/0.57 (define @t7 () (@var "V_y" $$unsorted)) % 0.38/0.57 (define @t8 () (@var "T_a" $$unsorted)) % 0.38/0.57 (define @t9 () (tptp.c_plus tptp.c_0 @t7 @t8)) % 0.38/0.57 (define @t10 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t8))) % 0.38/0.57 (define @t11 () (or @t10 (= @t9 @t7))) % 0.38/0.57 (define @t12 () (forall (@list @t8 @t7) @t11)) % 0.38/0.57 (define @t13 () (@var "V_c" $$unsorted)) % 0.38/0.57 (define @t14 () (@var "V_b" $$unsorted)) % 0.38/0.57 (define @t15 () (@var "V_a" $$unsorted)) % 0.38/0.57 (define @t16 () (tptp.c_lessequals (tptp.c_plus @t15 @t14 @t8) @t13 @t8)) % 0.38/0.57 (define @t17 () (tptp.c_lessequals @t15 (tptp.c_minus @t13 @t14 @t8) @t8)) % 0.38/0.57 (define @t18 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t8))) % 0.38/0.57 (define @t19 () (@var "V_z" $$unsorted)) % 0.38/0.57 (define @t20 () (@var "V_x" $$unsorted)) % 0.38/0.57 (define @t21 () (@var "T" $$unsorted)) % 0.38/0.57 (define @t22 () (tptp.class_LOrder_Ojoin__semilorder @t21)) % 0.38/0.57 (define @t23 () (@list @t21)) % 0.38/0.57 (define @t24 () (tptp.class_OrderedGroup_Olordered__ab__group__abs @t21)) % 0.38/0.57 (define @t25 () (not @t24)) % 0.38/0.57 (define @t26 () (not (tptp.class_Ring__and__Field_Oordered__idom @t21))) % 0.38/0.57 (define @t27 () (@list tptp.t_b)) % 0.38/0.57 (define @t28 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.38/0.57 (define @t29 () (not @t6)) % 0.38/0.57 (define @t30 () (or @t29 @t28)) % 0.38/0.57 (define @t31 () (@list false false)) % 0.38/0.57 (define @t32 () (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) % 0.38/0.57 (define @t33 () (not @t28)) % 0.38/0.57 (define @t34 () (or @t33 @t32)) % 0.38/0.57 (define @t35 () (tptp.c_plus tptp.c_0 @t1 tptp.t_b)) % 0.38/0.57 (define @t36 () (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.t_b)) % 0.38/0.57 (define @t37 () (or @t33 @t36)) % 0.38/0.57 (define @t38 () (tptp.c_plus tptp.c_0 @t4 tptp.t_b)) % 0.38/0.57 (define @t39 () (not (tptp.c_lessequals @t38 @t2 tptp.t_b))) % 0.38/0.57 (define @t40 () (not @t36)) % 0.38/0.57 (define @t41 () (or @t40 @t39 @t5)) % 0.38/0.57 (define @t42 () (@list true false false)) % 0.38/0.57 (define @t43 () (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.t_b)) % 0.38/0.57 (define @t44 () (or @t29 @t43)) % 0.38/0.57 (define @t45 () (= @t4 @t38)) % 0.38/0.57 (define @t46 () (not @t43)) % 0.38/0.57 (define @t47 () (or @t46 @t45)) % 0.38/0.57 (define @t48 () (tptp.c_lessequals @t4 @t2 tptp.t_b)) % 0.38/0.57 (define @t49 () (= @t1 @t35)) % 0.38/0.57 (define @t50 () (or @t46 @t49)) % 0.38/0.57 (define @t51 () (tptp.c_lessequals @t4 @t35 tptp.t_b)) % 0.38/0.57 (define @t52 () (tptp.c_lessequals @t35 @t2 tptp.t_b)) % 0.38/0.57 (define @t53 () (not @t3)) % 0.38/0.57 (define @t54 () (or @t40 @t53 @t52)) % 0.38/0.57 (define @t55 () (not @t51)) % 0.38/0.57 (define @t56 () (not @t52)) % 0.38/0.57 (define @t57 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.38/0.57 (define @t58 () (not @t57)) % 0.38/0.57 (define @t59 () (or @t58 @t56 @t55 @t48)) % 0.38/0.57 (define @t60 () (not @t32)) % 0.38/0.57 (define @t61 () (or @t60 @t57)) % 0.38/0.57 (assume @p1 @t3) % 0.38/0.57 (assume @p2 (tptp.c_lessequals @t4 @t1 tptp.t_b)) % 0.38/0.57 (assume @p3 (not @t5)) % 0.38/0.57 (assume @p4 @t6) % 0.38/0.57 (assume @p5 @t12) % 0.38/0.57 (assume @p6 (forall (@list @t8 @t15 @t13 @t14) (or @t18 (not @t17) @t16))) % 0.38/0.57 (assume @p7 (forall (@list @t8 @t15 @t14 @t13) (or @t18 (not @t16) @t17))) % 0.38/0.57 (assume @p8 (forall (@list @t8 @t7 @t19 @t20) (or (not (tptp.class_Orderings_Oorder @t8)) (not (tptp.c_lessequals @t7 @t19 @t8)) (not (tptp.c_lessequals @t20 @t7 @t8)) (tptp.c_lessequals @t20 @t19 @t8)))) % 0.38/0.57 (assume @p9 (forall @t23 (or (not @t22) (tptp.class_Orderings_Oorder @t21)))) % 0.38/0.57 (assume @p10 (forall @t23 (or @t25 (tptp.class_OrderedGroup_Opordered__ab__group__add @t21)))) % 0.38/0.57 (assume @p11 (forall @t23 (or @t25 @t22))) % 0.38/0.57 (assume @p12 (forall @t23 (or @t26 (tptp.class_OrderedGroup_Ocomm__monoid__add @t21)))) % 0.38/0.57 (assume @p13 (forall @t23 (or @t26 @t24))) % 0.38/0.57 (step @p14 :rule instantiate :premises (@p11) :args (@t27)) % 0.38/0.57 (step @p15 :rule instantiate :premises (@p13) :args (@t27)) % 0.38/0.57 (step @p16 :rule cnf_or_pos :args (@t30)) % 0.38/0.57 (step @p17 :rule reordering :premises (@p16) :args ((or @t29 @t28 (not @t30)))) % 0.38/0.57 (step @p18 :rule chain_m_resolution :premises (@p17 @p4 @p15) :args (@t28 @t31 (@list @t6 @t30))) % 0.38/0.57 (step @p19 :rule cnf_or_pos :args (@t34)) % 0.38/0.57 (step @p20 :rule reordering :premises (@p19) :args ((or @t33 @t32 (not @t34)))) % 0.38/0.57 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p14) :args (@t32 @t31 (@list @t28 @t34))) % 0.38/0.57 (step @p22 :rule instantiate :premises (@p9) :args (@t27)) % 0.38/0.57 (step @p23 :rule instantiate :premises (@p8) :args ((@list tptp.t_b @t35 @t2 @t4))) % 0.38/0.57 (step @p24 :rule instantiate :premises (@p7) :args ((@list tptp.t_b tptp.c_0 @t4 @t2))) % 0.38/0.57 (step @p25 :rule instantiate :premises (@p10) :args (@t27)) % 0.38/0.57 (step @p26 :rule cnf_or_pos :args (@t37)) % 0.38/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t36 @t33 (not @t37)))) % 0.38/0.57 (step @p28 :rule chain_m_resolution :premises (@p27 @p18 @p25) :args (@t36 @t31 (@list @t28 @t37))) % 0.38/0.57 (step @p29 :rule cnf_or_pos :args (@t41)) % 0.38/0.57 (step @p30 :rule reordering :premises (@p29) :args ((or @t5 @t40 @t39 (not @t41)))) % 0.38/0.57 (step @p31 :rule chain_m_resolution :premises (@p30 @p3 @p28 @p24) :args (@t39 @t42 (@list @t5 @t36 @t41))) % 0.38/0.57 (step @p32 :rule false_intro :premises (@p31)) % 0.38/0.57 (step @p33 :rule refl :args (tptp.t_b)) % 0.38/0.57 (step @p34 :rule refl :args (@t2)) % 0.38/0.57 (step @p35 :rule eq-symm :args (@t9 @t7)) % 0.38/0.57 (step @p36 :rule refl :args (@t10)) % 0.38/0.57 (step @p37 :rule nary_cong :premises (@p36 @p35) :args (@t11)) % 0.38/0.57 (step @p38 :rule cong :premises (@p37) :args (@t12)) % 0.38/0.57 (step @p39 :rule eq_resolve :premises (@p5 @p38)) % 0.38/0.57 (step @p40 :rule instantiate :premises (@p39) :args ((@list tptp.t_b @t4))) % 0.38/0.57 (step @p41 :rule instantiate :premises (@p12) :args (@t27)) % 0.38/0.57 (step @p42 :rule cnf_or_pos :args (@t44)) % 0.38/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t29 @t43 (not @t44)))) % 0.38/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p4 @p41) :args (@t43 @t31 (@list @t6 @t44))) % 0.38/0.57 (step @p45 :rule cnf_or_pos :args (@t47)) % 0.38/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t46 @t45 (not @t47)))) % 0.38/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p44 @p40) :args (@t45 @t31 (@list @t43 @t47))) % 0.38/0.57 (step @p48 :rule cong :premises (@p47 @p34 @p33) :args (@t48)) % 0.38/0.57 (step @p49 :rule trans :premises (@p48 @p32)) % 0.38/0.57 (step @p50 :rule false_elim :premises (@p49)) % 0.38/0.57 (step @p51 :rule true_intro :premises (@p2)) % 0.38/0.57 (step @p52 :rule refl :args (@t1)) % 0.38/0.57 (step @p53 :rule symm :premises (@p47)) % 0.38/0.57 (step @p54 :rule cong :premises (@p53 @p52 @p33) :args ((tptp.c_lessequals @t38 @t1 tptp.t_b))) % 0.38/0.57 (step @p55 :rule instantiate :premises (@p39) :args ((@list tptp.t_b @t1))) % 0.38/0.57 (step @p56 :rule cnf_or_pos :args (@t50)) % 0.38/0.57 (step @p57 :rule reordering :premises (@p56) :args ((or @t46 @t49 (not @t50)))) % 0.38/0.57 (step @p58 :rule chain_m_resolution :premises (@p57 @p44 @p55) :args (@t49 @t31 (@list @t43 @t50))) % 0.38/0.57 (step @p59 :rule symm :premises (@p58)) % 0.38/0.57 (step @p60 :rule cong :premises (@p47 @p59 @p33) :args (@t51)) % 0.38/0.57 (step @p61 :rule trans :premises (@p60 @p54 @p51)) % 0.38/0.57 (step @p62 :rule true_elim :premises (@p61)) % 0.38/0.57 (step @p63 :rule instantiate :premises (@p6) :args ((@list tptp.t_b tptp.c_0 @t2 @t1))) % 0.38/0.57 (step @p64 :rule cnf_or_pos :args (@t54)) % 0.38/0.57 (step @p65 :rule reordering :premises (@p64) :args ((or @t53 @t40 @t52 (not @t54)))) % 0.38/0.57 (step @p66 :rule chain_m_resolution :premises (@p65 @p1 @p28 @p63) :args (@t52 (@list false false false) (@list @t3 @t36 @t54))) % 0.38/0.57 (step @p67 :rule cnf_or_pos :args (@t59)) % 0.38/0.57 (step @p68 :rule reordering :premises (@p67) :args ((or @t56 @t58 @t55 @t48 (not @t59)))) % 0.38/0.57 (step @p69 :rule chain_m_resolution :premises (@p68 @p66 @p62 @p50 @p23) :args (@t58 (@list false false true false) (@list @t52 @t51 @t48 @t59))) % 0.38/0.57 (step @p70 :rule cnf_or_pos :args (@t61)) % 0.38/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t60 @t57 (not @t61)))) % 0.38/0.57 (step @p72 false :rule chain_m_resolution :premises (@p71 @p69 @p22 @p21) :args (false @t42 (@list @t57 @t61 @t32))) % 0.38/0.57 ) % 0.38/0.57 % SZS output end Proof % 0.38/0.57 % cvc5 exiting %------------------------------------------------------------------------------