%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA031-2 : 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 : n007.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 0.37s 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 : ANA031-2 : 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 % 0.15/0.34 % Computer : n007.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 02:18:56 EDT 2026 % 0.15/0.34 % CPUTime : % 0.26/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.50 --- 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 $$unsorted 0) % 0.37/0.57 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.t_b $$unsorted) % 0.37/0.57 (declare-const tptp.c_0 $$unsorted) % 0.37/0.57 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.v_c $$unsorted) % 0.37/0.57 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v_b (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.37/0.57 (declare-const tptp.class_OrderedGroup_Osemigroup__mult (-> $$unsorted Bool)) % 0.37/0.57 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.37/0.57 (define @t1 () (@var "V_U" $$unsorted)) % 0.37/0.57 (define @t2 () (@list @t1)) % 0.37/0.57 (define @t3 () (tptp.v_x @t1)) % 0.37/0.57 (define @t4 () (tptp.c_HOL_Oabs (tptp.v_f @t3) tptp.t_b)) % 0.37/0.57 (define @t5 () (@var "T_a" $$unsorted)) % 0.37/0.57 (define @t6 () (@var "V_a" $$unsorted)) % 0.37/0.57 (define @t7 () (@var "V_c" $$unsorted)) % 0.37/0.57 (define @t8 () (@var "V_b" $$unsorted)) % 0.37/0.57 (define @t9 () (tptp.c_times @t6 @t8 @t5)) % 0.37/0.57 (define @t10 () (@list @t5 @t6 @t8 @t7)) % 0.37/0.57 (define @t11 () (@var "T" $$unsorted)) % 0.37/0.57 (define @t12 () (not (tptp.class_Ring__and__Field_Oordered__idom @t11))) % 0.37/0.57 (define @t13 () (@list @t11)) % 0.37/0.57 (define @t14 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.37/0.57 (define @t15 () (@list tptp.t_b)) % 0.37/0.57 (define @t16 () (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b)) % 0.37/0.57 (define @t17 () (not @t14)) % 0.37/0.57 (define @t18 () (or @t17 @t16)) % 0.37/0.57 (define @t19 () (@list false false)) % 0.37/0.57 (define @t20 () (tptp.v_x tptp.v_c)) % 0.37/0.57 (define @t21 () (tptp.v_f @t20)) % 0.37/0.57 (define @t22 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.37/0.57 (define @t23 () (or @t17 @t22)) % 0.37/0.57 (define @t24 () (tptp.c_HOL_Oabs @t21 tptp.t_b)) % 0.37/0.57 (define @t25 () (tptp.c_lessequals tptp.c_0 @t24 tptp.t_b)) % 0.37/0.57 (define @t26 () (not @t22)) % 0.37/0.57 (define @t27 () (or @t26 @t25)) % 0.37/0.57 (define @t28 () (tptp.c_HOL_Oabs (tptp.v_g @t20) tptp.t_b)) % 0.37/0.57 (define @t29 () (tptp.c_times @t28 tptp.v_c tptp.t_b)) % 0.37/0.57 (define @t30 () (tptp.c_HOL_Oabs (tptp.v_b @t20) tptp.t_b)) % 0.37/0.57 (define @t31 () (tptp.c_times @t24 @t28 tptp.t_b)) % 0.37/0.57 (define @t32 () (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.t_b)) % 0.37/0.57 (define @t33 () (or @t17 @t32)) % 0.37/0.57 (define @t34 () (tptp.c_times @t31 tptp.v_c tptp.t_b)) % 0.37/0.57 (define @t35 () (= (tptp.c_times tptp.v_c @t31 tptp.t_b) @t34)) % 0.37/0.57 (define @t36 () (not @t32)) % 0.37/0.57 (define @t37 () (or @t36 @t35)) % 0.37/0.57 (define @t38 () (tptp.class_OrderedGroup_Osemigroup__mult tptp.t_b)) % 0.37/0.57 (define @t39 () (or @t17 @t38)) % 0.37/0.57 (define @t40 () (tptp.c_times @t24 @t29 tptp.t_b)) % 0.37/0.57 (define @t41 () (= @t34 @t40)) % 0.37/0.57 (define @t42 () (not @t38)) % 0.37/0.57 (define @t43 () (or @t42 @t41)) % 0.37/0.57 (define @t44 () (tptp.c_times @t24 @t30 tptp.t_b)) % 0.37/0.57 (define @t45 () (= (tptp.c_times @t30 @t24 tptp.t_b) @t44)) % 0.37/0.57 (define @t46 () (or @t36 @t45)) % 0.37/0.57 (define @t47 () (tptp.c_lessequals @t44 @t40 tptp.t_b)) % 0.37/0.57 (define @t48 () (= (tptp.c_times tptp.v_c @t28 tptp.t_b) @t29)) % 0.37/0.57 (define @t49 () (or @t36 @t48)) % 0.37/0.57 (define @t50 () (tptp.c_lessequals @t30 @t29 tptp.t_b)) % 0.37/0.57 (define @t51 () (not @t25)) % 0.37/0.57 (define @t52 () (not @t50)) % 0.37/0.57 (define @t53 () (not @t16)) % 0.37/0.57 (define @t54 () (or @t53 @t52 @t51 @t47)) % 0.37/0.57 (assume @p1 (forall @t2 (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_b @t1) tptp.t_b) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_g @t1) tptp.t_b) tptp.t_b) tptp.t_b))) % 0.37/0.57 (assume @p2 (forall @t2 (not (tptp.c_lessequals (tptp.c_times (tptp.c_HOL_Oabs (tptp.v_b @t3) tptp.t_b) @t4 tptp.t_b) (tptp.c_times @t1 (tptp.c_times @t4 (tptp.c_HOL_Oabs (tptp.v_g @t3) tptp.t_b) tptp.t_b) tptp.t_b) tptp.t_b)))) % 0.37/0.57 (assume @p3 (forall (@list @t5 @t6) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t5)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs @t6 @t5) @t5)))) % 0.37/0.57 (assume @p4 (forall @t10 (or (not (tptp.class_OrderedGroup_Osemigroup__mult @t5)) (= (tptp.c_times @t9 @t7 @t5) (tptp.c_times @t6 (tptp.c_times @t8 @t7 @t5) @t5))))) % 0.37/0.57 (assume @p5 (forall (@list @t5 @t6 @t8) (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t5)) (= @t9 (tptp.c_times @t8 @t6 @t5))))) % 0.37/0.57 (assume @p6 (forall @t10 (or (not (tptp.class_Ring__and__Field_Opordered__semiring @t5)) (not (tptp.c_lessequals @t6 @t8 @t5)) (not (tptp.c_lessequals tptp.c_0 @t7 @t5)) (tptp.c_lessequals (tptp.c_times @t7 @t6 @t5) (tptp.c_times @t7 @t8 @t5) @t5)))) % 0.37/0.57 (assume @p7 (forall @t13 (or @t12 (tptp.class_OrderedGroup_Oab__semigroup__mult @t11)))) % 0.37/0.57 (assume @p8 (forall @t13 (or @t12 (tptp.class_OrderedGroup_Osemigroup__mult @t11)))) % 0.37/0.57 (assume @p9 (forall @t13 (or @t12 (tptp.class_Ring__and__Field_Opordered__semiring @t11)))) % 0.37/0.57 (assume @p10 (forall @t13 (or @t12 (tptp.class_OrderedGroup_Olordered__ab__group__abs @t11)))) % 0.37/0.57 (assume @p11 @t14) % 0.37/0.57 (step @p12 :rule instantiate :premises (@p9) :args (@t15)) % 0.37/0.57 (step @p13 :rule cnf_or_pos :args (@t18)) % 0.37/0.57 (step @p14 :rule reordering :premises (@p13) :args ((or @t17 @t16 (not @t18)))) % 0.37/0.57 (step @p15 :rule chain_m_resolution :premises (@p14 @p11 @p12) :args (@t16 @t19 (@list @t14 @t18))) % 0.37/0.57 (step @p16 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t21))) % 0.37/0.57 (step @p17 :rule instantiate :premises (@p10) :args (@t15)) % 0.37/0.57 (step @p18 :rule cnf_or_pos :args (@t23)) % 0.37/0.57 (step @p19 :rule reordering :premises (@p18) :args ((or @t17 @t22 (not @t23)))) % 0.37/0.57 (step @p20 :rule chain_m_resolution :premises (@p19 @p11 @p17) :args (@t22 @t19 (@list @t14 @t23))) % 0.37/0.57 (step @p21 :rule cnf_or_pos :args (@t27)) % 0.37/0.57 (step @p22 :rule reordering :premises (@p21) :args ((or @t26 @t25 (not @t27)))) % 0.37/0.57 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p16) :args (@t25 @t19 (@list @t22 @t27))) % 0.37/0.57 (step @p24 :rule instantiate :premises (@p6) :args ((@list tptp.t_b @t30 @t29 @t24))) % 0.37/0.57 (step @p25 :rule instantiate :premises (@p2) :args ((@list tptp.v_c))) % 0.37/0.57 (step @p26 :rule false_intro :premises (@p25)) % 0.37/0.57 (step @p27 :rule refl :args (tptp.t_b)) % 0.37/0.57 (step @p28 :rule instantiate :premises (@p5) :args ((@list tptp.t_b tptp.v_c @t31))) % 0.37/0.57 (step @p29 :rule instantiate :premises (@p7) :args (@t15)) % 0.37/0.57 (step @p30 :rule cnf_or_pos :args (@t33)) % 0.37/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or @t17 @t32 (not @t33)))) % 0.37/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p11 @p29) :args (@t32 @t19 (@list @t14 @t33))) % 0.37/0.57 (step @p33 :rule cnf_or_pos :args (@t37)) % 0.37/0.57 (step @p34 :rule reordering :premises (@p33) :args ((or @t36 @t35 (not @t37)))) % 0.37/0.57 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p28) :args (@t35 @t19 (@list @t32 @t37))) % 0.37/0.57 (step @p36 :rule symm :premises (@p35)) % 0.37/0.57 (step @p37 :rule instantiate :premises (@p4) :args ((@list tptp.t_b @t24 @t28 tptp.v_c))) % 0.37/0.57 (step @p38 :rule instantiate :premises (@p8) :args (@t15)) % 0.37/0.57 (step @p39 :rule cnf_or_pos :args (@t39)) % 0.37/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t17 @t38 (not @t39)))) % 0.37/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p11 @p38) :args (@t38 @t19 (@list @t14 @t39))) % 0.37/0.57 (step @p42 :rule cnf_or_pos :args (@t43)) % 0.37/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t42 @t41 (not @t43)))) % 0.37/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p37) :args (@t41 @t19 (@list @t38 @t43))) % 0.37/0.57 (step @p45 :rule symm :premises (@p44)) % 0.37/0.57 (step @p46 :rule trans :premises (@p45 @p36)) % 0.37/0.57 (step @p47 :rule instantiate :premises (@p5) :args ((@list tptp.t_b @t30 @t24))) % 0.37/0.57 (step @p48 :rule cnf_or_pos :args (@t46)) % 0.37/0.57 (step @p49 :rule reordering :premises (@p48) :args ((or @t36 @t45 (not @t46)))) % 0.37/0.57 (step @p50 :rule chain_m_resolution :premises (@p49 @p32 @p47) :args (@t45 @t19 (@list @t32 @t46))) % 0.37/0.57 (step @p51 :rule symm :premises (@p50)) % 0.37/0.57 (step @p52 :rule cong :premises (@p51 @p46 @p27) :args (@t47)) % 0.37/0.57 (step @p53 :rule trans :premises (@p52 @p26)) % 0.37/0.57 (step @p54 :rule false_elim :premises (@p53)) % 0.37/0.57 (step @p55 :rule instantiate :premises (@p1) :args ((@list @t20))) % 0.37/0.57 (step @p56 :rule true_intro :premises (@p55)) % 0.37/0.57 (step @p57 :rule instantiate :premises (@p5) :args ((@list tptp.t_b tptp.v_c @t28))) % 0.37/0.57 (step @p58 :rule cnf_or_pos :args (@t49)) % 0.37/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t36 @t48 (not @t49)))) % 0.37/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p32 @p57) :args (@t48 @t19 (@list @t32 @t49))) % 0.37/0.57 (step @p61 :rule symm :premises (@p60)) % 0.37/0.57 (step @p62 :rule refl :args (@t30)) % 0.37/0.57 (step @p63 :rule cong :premises (@p62 @p61 @p27) :args (@t50)) % 0.37/0.57 (step @p64 :rule trans :premises (@p63 @p56)) % 0.37/0.57 (step @p65 :rule true_elim :premises (@p64)) % 0.37/0.57 (step @p66 :rule cnf_or_pos :args (@t54)) % 0.37/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t53 @t51 @t52 @t47 (not @t54)))) % 0.37/0.57 (step @p68 false :rule chain_m_resolution :premises (@p67 @p65 @p54 @p24 @p23 @p15) :args (false (@list false true false false false) (@list @t50 @t47 @t54 @t25 @t16))) % 0.37/0.57 ) % 0.37/0.57 % SZS output end Proof % 0.37/0.57 % cvc5 exiting %------------------------------------------------------------------------------