%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA034-2 : 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 08:06:36 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.56s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA034-2 : 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 : n029.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 02:20:02 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.36/0.56 % SZS status Unsatisfiable % 0.36/0.56 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.v_b (-> $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.v_ca $$unsorted) % 0.36/0.56 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.v_a (-> $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (declare-const tptp.v_x $$unsorted) % 0.36/0.56 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.t_b $$unsorted) % 0.36/0.56 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.c_0 $$unsorted) % 0.36/0.56 (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.v_c $$unsorted) % 0.36/0.56 (define @t1 () (@var "T_a" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "V_b" $$unsorted)) % 0.36/0.56 (define @t3 () (@var "V_a" $$unsorted)) % 0.36/0.56 (define @t4 () (tptp.c_HOL_Oabs @t3 @t1)) % 0.36/0.56 (define @t5 () (tptp.c_times @t3 @t2 @t1)) % 0.36/0.56 (define @t6 () (@var "V_d" $$unsorted)) % 0.36/0.56 (define @t7 () (@var "V_c" $$unsorted)) % 0.36/0.56 (define @t8 () (not (tptp.c_lessequals tptp.c_0 @t2 @t1))) % 0.36/0.56 (define @t9 () (@var "V_y" $$unsorted)) % 0.36/0.56 (define @t10 () (@var "V_x" $$unsorted)) % 0.36/0.56 (define @t11 () (tptp.c_less tptp.c_0 tptp.v_c tptp.t_b)) % 0.36/0.56 (define @t12 () (tptp.v_f tptp.v_x)) % 0.36/0.56 (define @t13 () (tptp.c_HOL_Oabs @t12 tptp.t_b)) % 0.36/0.56 (define @t14 () (tptp.c_times tptp.v_c @t13 tptp.t_b)) % 0.36/0.56 (define @t15 () (tptp.v_a tptp.v_x)) % 0.36/0.56 (define @t16 () (tptp.c_HOL_Oabs @t15 tptp.t_b)) % 0.36/0.56 (define @t17 () (tptp.c_lessequals @t16 @t14 tptp.t_b)) % 0.36/0.56 (define @t18 () (tptp.v_g tptp.v_x)) % 0.36/0.56 (define @t19 () (tptp.c_times tptp.v_ca (tptp.c_HOL_Oabs @t18 tptp.t_b) tptp.t_b)) % 0.36/0.56 (define @t20 () (tptp.v_b tptp.v_x)) % 0.36/0.56 (define @t21 () (tptp.c_HOL_Oabs @t20 tptp.t_b)) % 0.36/0.56 (define @t22 () (tptp.c_lessequals @t21 @t19 tptp.t_b)) % 0.36/0.56 (define @t23 () (tptp.c_times @t14 @t19 tptp.t_b)) % 0.36/0.56 (define @t24 () (tptp.c_times (tptp.c_times tptp.v_c tptp.v_ca tptp.t_b) (tptp.c_HOL_Oabs (tptp.c_times @t12 @t18 tptp.t_b) tptp.t_b) tptp.t_b)) % 0.36/0.56 (define @t25 () (tptp.c_HOL_Oabs (tptp.c_times @t15 @t20 tptp.t_b) tptp.t_b)) % 0.36/0.56 (define @t26 () (tptp.c_lessequals @t25 @t24 tptp.t_b)) % 0.36/0.56 (define @t27 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.36/0.56 (define @t28 () (@var "T" $$unsorted)) % 0.36/0.56 (define @t29 () (tptp.class_OrderedGroup_Olordered__ab__group__abs @t28)) % 0.36/0.56 (define @t30 () (@list @t28)) % 0.36/0.56 (define @t31 () (not (tptp.class_Ring__and__Field_Oordered__idom @t28))) % 0.36/0.56 (define @t32 () (@list tptp.t_b)) % 0.36/0.56 (define @t33 () (tptp.class_Ring__and__Field_Opordered__semiring tptp.t_b)) % 0.36/0.56 (define @t34 () (not @t27)) % 0.36/0.56 (define @t35 () (or @t34 @t33)) % 0.36/0.56 (define @t36 () (@list false false)) % 0.36/0.56 (define @t37 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.36/0.56 (define @t38 () (or @t34 @t37)) % 0.36/0.56 (define @t39 () (tptp.c_lessequals tptp.c_0 @t21 tptp.t_b)) % 0.36/0.56 (define @t40 () (not @t37)) % 0.36/0.56 (define @t41 () (or @t40 @t39)) % 0.36/0.56 (define @t42 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.36/0.56 (define @t43 () (or @t40 @t42)) % 0.36/0.56 (define @t44 () (tptp.c_lessequals tptp.c_0 tptp.v_c tptp.t_b)) % 0.36/0.56 (define @t45 () (not @t11)) % 0.36/0.56 (define @t46 () (not @t42)) % 0.36/0.56 (define @t47 () (or @t46 @t45 @t44)) % 0.36/0.56 (define @t48 () (tptp.c_lessequals tptp.c_0 @t13 tptp.t_b)) % 0.36/0.56 (define @t49 () (or @t40 @t48)) % 0.36/0.56 (define @t50 () (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.t_b)) % 0.36/0.56 (define @t51 () (or @t34 @t50)) % 0.36/0.56 (define @t52 () (tptp.c_lessequals tptp.c_0 @t14 tptp.t_b)) % 0.36/0.56 (define @t53 () (not @t44)) % 0.36/0.56 (define @t54 () (not @t48)) % 0.36/0.56 (define @t55 () (not @t50)) % 0.36/0.56 (define @t56 () (or @t55 @t54 @t53 @t52)) % 0.36/0.56 (define @t57 () (tptp.c_times @t16 @t21 tptp.t_b)) % 0.36/0.56 (define @t58 () (tptp.c_lessequals @t57 @t23 tptp.t_b)) % 0.36/0.56 (define @t59 () (not @t52)) % 0.36/0.56 (define @t60 () (not @t39)) % 0.36/0.56 (define @t61 () (not @t17)) % 0.36/0.56 (define @t62 () (not @t22)) % 0.36/0.56 (define @t63 () (not @t33)) % 0.36/0.56 (define @t64 () (or @t63 @t62 @t61 @t60 @t59 @t58)) % 0.36/0.56 (define @t65 () (= @t25 @t57)) % 0.36/0.56 (define @t66 () (or @t34 @t65)) % 0.36/0.56 (assume @p1 (forall (@list @t1 @t3 @t2) (or (not (tptp.class_Ring__and__Field_Oordered__idom @t1)) (= (tptp.c_HOL_Oabs @t5 @t1) (tptp.c_times @t4 (tptp.c_HOL_Oabs @t2 @t1) @t1))))) % 0.36/0.56 (assume @p2 (forall (@list @t1 @t7 @t6 @t3 @t2) (or (not (tptp.class_Ring__and__Field_Opordered__semiring @t1)) (not (tptp.c_lessequals @t7 @t6 @t1)) (not (tptp.c_lessequals @t3 @t2 @t1)) (not (tptp.c_lessequals tptp.c_0 @t7 @t1)) @t8 (tptp.c_lessequals (tptp.c_times @t3 @t7 @t1) (tptp.c_times @t2 @t6 @t1) @t1)))) % 0.36/0.56 (assume @p3 (forall (@list @t1 @t2 @t3) (or (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1)) @t8 (not (tptp.c_lessequals tptp.c_0 @t3 @t1)) (tptp.c_lessequals tptp.c_0 @t5 @t1)))) % 0.36/0.56 (assume @p4 (forall (@list @t1 @t10 @t9) (or (not (tptp.class_Orderings_Oorder @t1)) (not (tptp.c_less @t10 @t9 @t1)) (tptp.c_lessequals @t10 @t9 @t1)))) % 0.36/0.56 (assume @p5 (forall (@list @t1 @t3) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t1)) (tptp.c_lessequals tptp.c_0 @t4 @t1)))) % 0.36/0.56 (assume @p6 @t11) % 0.36/0.56 (assume @p7 @t17) % 0.36/0.56 (assume @p8 @t22) % 0.36/0.56 (assume @p9 (= @t24 @t23)) % 0.36/0.56 (assume @p10 (not @t26)) % 0.36/0.56 (assume @p11 @t27) % 0.36/0.56 (assume @p12 (forall @t30 (or (not @t29) (tptp.class_Orderings_Oorder @t28)))) % 0.36/0.56 (assume @p13 (forall @t30 (or @t31 (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t28)))) % 0.36/0.56 (assume @p14 (forall @t30 (or @t31 (tptp.class_Ring__and__Field_Opordered__semiring @t28)))) % 0.36/0.56 (assume @p15 (forall @t30 (or @t31 @t29))) % 0.36/0.56 (step @p16 :rule evaluate :args ((= false true))) % 0.36/0.56 (step @p17 :rule instantiate :premises (@p2) :args ((@list tptp.t_b @t21 @t19 @t16 @t14))) % 0.36/0.56 (step @p18 :rule instantiate :premises (@p14) :args (@t32)) % 0.36/0.56 (step @p19 :rule cnf_or_pos :args (@t35)) % 0.36/0.56 (step @p20 :rule reordering :premises (@p19) :args ((or @t34 @t33 (not @t35)))) % 0.36/0.56 (step @p21 :rule chain_m_resolution :premises (@p20 @p11 @p18) :args (@t33 @t36 (@list @t27 @t35))) % 0.36/0.56 (step @p22 :rule instantiate :premises (@p5) :args ((@list tptp.t_b @t20))) % 0.36/0.56 (step @p23 :rule instantiate :premises (@p15) :args (@t32)) % 0.36/0.56 (step @p24 :rule cnf_or_pos :args (@t38)) % 0.36/0.56 (step @p25 :rule reordering :premises (@p24) :args ((or @t34 @t37 (not @t38)))) % 0.36/0.56 (step @p26 :rule chain_m_resolution :premises (@p25 @p11 @p23) :args (@t37 @t36 (@list @t27 @t38))) % 0.36/0.56 (step @p27 :rule cnf_or_pos :args (@t41)) % 0.36/0.56 (step @p28 :rule reordering :premises (@p27) :args ((or @t40 @t39 (not @t41)))) % 0.36/0.56 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p22) :args (@t39 @t36 (@list @t37 @t41))) % 0.36/0.56 (step @p30 :rule instantiate :premises (@p3) :args ((@list tptp.t_b @t13 tptp.v_c))) % 0.36/0.56 (step @p31 :rule instantiate :premises (@p4) :args ((@list tptp.t_b tptp.c_0 tptp.v_c))) % 0.36/0.56 (step @p32 :rule instantiate :premises (@p12) :args (@t32)) % 0.36/0.56 (step @p33 :rule cnf_or_pos :args (@t43)) % 0.36/0.56 (step @p34 :rule reordering :premises (@p33) :args ((or @t42 @t40 (not @t43)))) % 0.36/0.56 (step @p35 :rule chain_m_resolution :premises (@p34 @p26 @p32) :args (@t42 @t36 (@list @t37 @t43))) % 0.36/0.56 (step @p36 :rule cnf_or_pos :args (@t47)) % 0.36/0.56 (step @p37 :rule reordering :premises (@p36) :args ((or @t45 @t44 @t46 (not @t47)))) % 0.36/0.56 (step @p38 :rule chain_m_resolution :premises (@p37 @p6 @p35 @p31) :args (@t44 (@list false false false) (@list @t11 @t42 @t47))) % 0.36/0.56 (step @p39 :rule instantiate :premises (@p5) :args ((@list tptp.t_b @t12))) % 0.36/0.56 (step @p40 :rule cnf_or_pos :args (@t49)) % 0.36/0.56 (step @p41 :rule reordering :premises (@p40) :args ((or @t48 @t40 (not @t49)))) % 0.36/0.56 (step @p42 :rule chain_m_resolution :premises (@p41 @p26 @p39) :args (@t48 @t36 (@list @t37 @t49))) % 0.36/0.56 (step @p43 :rule instantiate :premises (@p13) :args (@t32)) % 0.36/0.56 (step @p44 :rule cnf_or_pos :args (@t51)) % 0.36/0.56 (step @p45 :rule reordering :premises (@p44) :args ((or @t34 @t50 (not @t51)))) % 0.36/0.56 (step @p46 :rule chain_m_resolution :premises (@p45 @p11 @p43) :args (@t50 @t36 (@list @t27 @t51))) % 0.36/0.56 (step @p47 :rule cnf_or_pos :args (@t56)) % 0.36/0.56 (step @p48 :rule reordering :premises (@p47) :args ((or @t55 @t54 @t53 @t52 (not @t56)))) % 0.36/0.56 (step @p49 :rule chain_m_resolution :premises (@p48 @p46 @p42 @p38 @p30) :args (@t52 (@list false false false false) (@list @t50 @t48 @t44 @t56))) % 0.36/0.56 (step @p50 :rule cnf_or_pos :args (@t64)) % 0.36/0.56 (step @p51 :rule reordering :premises (@p50) :args ((or @t61 @t62 @t59 @t60 @t63 @t58 (not @t64)))) % 0.36/0.56 (step @p52 :rule chain_m_resolution :premises (@p51 @p7 @p8 @p49 @p29 @p21 @p17) :args (@t58 (@list false false false false false false) (@list @t17 @t22 @t52 @t39 @t33 @t64))) % 0.36/0.56 (step @p53 :rule true_intro :premises (@p52)) % 0.36/0.56 (step @p54 :rule refl :args (tptp.t_b)) % 0.36/0.56 (step @p55 :rule instantiate :premises (@p1) :args ((@list tptp.t_b @t15 @t20))) % 0.36/0.56 (step @p56 :rule cnf_or_pos :args (@t66)) % 0.36/0.56 (step @p57 :rule reordering :premises (@p56) :args ((or @t34 @t65 (not @t66)))) % 0.36/0.56 (step @p58 :rule chain_m_resolution :premises (@p57 @p11 @p55) :args (@t65 @t36 (@list @t27 @t66))) % 0.36/0.56 (step @p59 :rule cong :premises (@p58 @p9 @p54) :args (@t26)) % 0.36/0.56 (step @p60 :rule false_intro :premises (@p10)) % 0.36/0.56 (step @p61 :rule symm :premises (@p60)) % 0.36/0.56 (step @p62 :rule trans :premises (@p61 @p59 @p53)) % 0.36/0.56 (step @p63 false :rule eq_resolve :premises (@p62 @p16)) % 0.36/0.56 ) % 0.36/0.57 % SZS output end Proof % 0.36/0.57 % cvc5 exiting %------------------------------------------------------------------------------