%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA025-2 : 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 08:06:34 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.57s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : ANA025-2 : TPTP v9.2.1. Released v3.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n029.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 02:19:17 EDT 2026 % 0.16/0.35 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.57 % SZS status Unsatisfiable % 0.29/0.57 % SZS output start Proof % 0.29/0.57 ( % 0.29/0.57 (declare-sort $$unsorted 0) % 0.29/0.57 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.29/0.57 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.29/0.57 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.57 (declare-const tptp.t_b $$unsorted) % 0.29/0.57 (declare-const tptp.c_0 $$unsorted) % 0.29/0.57 (declare-const tptp.v_k (-> $$unsorted $$unsorted)) % 0.29/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.57 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.29/0.57 (declare-const tptp.class_LOrder_Ojoin__semilorder (-> $$unsorted Bool)) % 0.29/0.57 (declare-const tptp.c_less (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.57 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.29/0.57 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.29/0.57 (declare-const tptp.c_Orderings_Omax (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.57 (declare-const tptp.v_x $$unsorted) % 0.29/0.57 (declare-const tptp.v_g (-> $$unsorted $$unsorted)) % 0.29/0.57 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.57 (define @t1 () (@var "T_a" $$unsorted)) % 0.29/0.57 (define @t2 () (@var "V_a" $$unsorted)) % 0.29/0.57 (define @t3 () (@var "V_y" $$unsorted)) % 0.29/0.57 (define @t4 () (@var "V_x" $$unsorted)) % 0.29/0.57 (define @t5 () (tptp.c_lessequals @t4 @t3 @t1)) % 0.29/0.57 (define @t6 () (@var "T_b" $$unsorted)) % 0.29/0.57 (define @t7 () (@var "V_z" $$unsorted)) % 0.29/0.57 (define @t8 () (not (tptp.class_Orderings_Oorder @t1))) % 0.29/0.57 (define @t9 () (forall (@list @t1 @t3 @t7 @t4) (or @t8 (not (tptp.c_lessequals @t3 @t7 @t1)) (not @t5) (tptp.c_lessequals @t4 @t7 @t1)))) % 0.29/0.57 (define @t10 () (tptp.v_g tptp.v_x)) % 0.29/0.57 (define @t11 () (tptp.c_minus (tptp.v_k tptp.v_x) @t10 tptp.t_b)) % 0.29/0.57 (define @t12 () (tptp.c_lessequals tptp.c_0 @t11 tptp.t_b)) % 0.29/0.57 (define @t13 () (tptp.c_minus (tptp.v_f tptp.v_x) @t10 tptp.t_b)) % 0.29/0.57 (define @t14 () (tptp.c_HOL_Oabs @t13 tptp.t_b)) % 0.29/0.57 (define @t15 () (tptp.c_lessequals (tptp.c_Orderings_Omax @t11 tptp.c_0 tptp.t_b) @t14 tptp.t_b)) % 0.29/0.57 (define @t16 () (@var "T" $$unsorted)) % 0.29/0.57 (define @t17 () (tptp.class_LOrder_Ojoin__semilorder @t16)) % 0.29/0.57 (define @t18 () (@list @t16)) % 0.29/0.57 (define @t19 () (tptp.class_OrderedGroup_Olordered__ab__group__abs @t16)) % 0.29/0.57 (define @t20 () (not (tptp.class_Ring__and__Field_Oordered__idom @t16))) % 0.29/0.57 (define @t21 () (tptp.class_Ring__and__Field_Oordered__idom tptp.t_b)) % 0.29/0.57 (define @t22 () (@list tptp.t_b tptp.c_0 @t11)) % 0.29/0.57 (define @t23 () (@list tptp.t_b)) % 0.29/0.57 (define @t24 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_b)) % 0.29/0.57 (define @t25 () (not @t21)) % 0.29/0.57 (define @t26 () (or @t25 @t24)) % 0.29/0.57 (define @t27 () (@list false false)) % 0.29/0.57 (define @t28 () (tptp.class_LOrder_Ojoin__semilorder tptp.t_b)) % 0.29/0.57 (define @t29 () (not @t24)) % 0.29/0.57 (define @t30 () (or @t29 @t28)) % 0.29/0.57 (define @t31 () (tptp.class_Orderings_Oorder tptp.t_b)) % 0.29/0.57 (define @t32 () (not @t28)) % 0.29/0.57 (define @t33 () (or @t32 @t31)) % 0.29/0.57 (define @t34 () (tptp.c_less tptp.c_0 @t11 tptp.t_b)) % 0.29/0.57 (define @t35 () (not @t34)) % 0.29/0.57 (define @t36 () (not @t31)) % 0.29/0.57 (define @t37 () (or @t36 @t35 @t12)) % 0.29/0.57 (define @t38 () (tptp.class_Orderings_Olinorder tptp.t_b)) % 0.29/0.57 (define @t39 () (or @t25 @t38)) % 0.29/0.57 (define @t40 () (tptp.c_lessequals @t11 tptp.c_0 tptp.t_b)) % 0.29/0.57 (define @t41 () (not @t38)) % 0.29/0.57 (define @t42 () (or @t41 @t34 @t40)) % 0.29/0.57 (define @t43 () (@list tptp.t_b tptp.c_0 @t14 @t11)) % 0.29/0.57 (define @t44 () (tptp.c_lessequals tptp.c_0 @t14 tptp.t_b)) % 0.29/0.57 (define @t45 () (or @t29 @t44)) % 0.29/0.57 (define @t46 () (tptp.c_lessequals @t11 @t14 tptp.t_b)) % 0.29/0.57 (define @t47 () (not @t46)) % 0.29/0.57 (define @t48 () (not @t44)) % 0.29/0.57 (define @t49 () (or @t41 @t48 @t47 @t15)) % 0.29/0.57 (define @t50 () (not @t40)) % 0.29/0.57 (define @t51 () (or @t36 @t48 @t50 @t46)) % 0.29/0.57 (define @t52 () (not @t51)) % 0.29/0.57 (assume @p1 (forall (@list @t1 @t2) (or (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t1)) (tptp.c_lessequals tptp.c_0 (tptp.c_HOL_Oabs @t2 @t1) @t1)))) % 0.29/0.57 (assume @p2 (forall (@list @t1 @t3 @t4) (or (not (tptp.class_Orderings_Olinorder @t1)) (tptp.c_less @t3 @t4 @t1) @t5))) % 0.29/0.57 (assume @p3 (forall (@list @t6 @t3 @t7 @t4) (or (not (tptp.class_Orderings_Olinorder @t6)) (not (tptp.c_lessequals @t3 @t7 @t6)) (not (tptp.c_lessequals @t4 @t7 @t6)) (tptp.c_lessequals (tptp.c_Orderings_Omax @t4 @t3 @t6) @t7 @t6)))) % 0.29/0.57 (assume @p4 @t9) % 0.29/0.57 (assume @p5 (forall (@list @t1 @t4 @t3) (or @t8 (not (tptp.c_less @t4 @t3 @t1)) @t5))) % 0.29/0.57 (assume @p6 (not @t12)) % 0.29/0.57 (assume @p7 (not @t15)) % 0.29/0.57 (assume @p8 (forall @t18 (or (not @t17) (tptp.class_Orderings_Oorder @t16)))) % 0.29/0.57 (assume @p9 (forall @t18 (or (not @t19) @t17))) % 0.29/0.57 (assume @p10 (forall @t18 (or @t20 (tptp.class_Orderings_Olinorder @t16)))) % 0.29/0.57 (assume @p11 (forall @t18 (or @t20 @t19))) % 0.29/0.57 (assume @p12 @t21) % 0.29/0.57 (step @p13 :rule instantiate :premises (@p2) :args (@t22)) % 0.29/0.57 (step @p14 :rule instantiate :premises (@p5) :args (@t22)) % 0.29/0.57 (step @p15 :rule instantiate :premises (@p8) :args (@t23)) % 0.29/0.57 (step @p16 :rule instantiate :premises (@p9) :args (@t23)) % 0.29/0.57 (step @p17 :rule instantiate :premises (@p11) :args (@t23)) % 0.29/0.57 (step @p18 :rule cnf_or_pos :args (@t26)) % 0.29/0.57 (step @p19 :rule reordering :premises (@p18) :args ((or @t25 @t24 (not @t26)))) % 0.29/0.57 (step @p20 :rule chain_m_resolution :premises (@p19 @p12 @p17) :args (@t24 @t27 (@list @t21 @t26))) % 0.29/0.57 (step @p21 :rule cnf_or_pos :args (@t30)) % 0.29/0.57 (step @p22 :rule reordering :premises (@p21) :args ((or @t29 @t28 (not @t30)))) % 0.29/0.57 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p16) :args (@t28 @t27 (@list @t24 @t30))) % 0.29/0.57 (step @p24 :rule cnf_or_pos :args (@t33)) % 0.29/0.57 (step @p25 :rule reordering :premises (@p24) :args ((or @t31 @t32 (not @t33)))) % 0.29/0.57 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p15) :args (@t31 @t27 (@list @t28 @t33))) % 0.29/0.57 (step @p27 :rule cnf_or_pos :args (@t37)) % 0.29/0.57 (step @p28 :rule reordering :premises (@p27) :args ((or @t12 @t36 @t35 (not @t37)))) % 0.29/0.57 (step @p29 :rule chain_m_resolution :premises (@p28 @p6 @p26 @p14) :args (@t35 (@list true false false) (@list @t12 @t31 @t37))) % 0.29/0.57 (step @p30 :rule instantiate :premises (@p10) :args (@t23)) % 0.29/0.57 (step @p31 :rule cnf_or_pos :args (@t39)) % 0.29/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t25 @t38 (not @t39)))) % 0.29/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p12 @p30) :args (@t38 @t27 (@list @t21 @t39))) % 0.29/0.57 (step @p34 :rule cnf_or_pos :args (@t42)) % 0.29/0.57 (step @p35 :rule reordering :premises (@p34) :args ((or @t41 @t34 @t40 (not @t42)))) % 0.29/0.57 (step @p36 :rule chain_m_resolution :premises (@p35 @p33 @p29 @p13) :args (@t40 (@list false true false) (@list @t38 @t34 @t42))) % 0.29/0.57 (step @p37 :rule instantiate :premises (@p3) :args (@t43)) % 0.29/0.57 (step @p38 :rule instantiate :premises (@p1) :args ((@list tptp.t_b @t13))) % 0.29/0.57 (step @p39 :rule cnf_or_pos :args (@t45)) % 0.29/0.57 (step @p40 :rule reordering :premises (@p39) :args ((or @t29 @t44 (not @t45)))) % 0.29/0.57 (step @p41 :rule chain_m_resolution :premises (@p40 @p20 @p38) :args (@t44 @t27 (@list @t24 @t45))) % 0.29/0.57 (step @p42 :rule cnf_or_pos :args (@t49)) % 0.29/0.57 (step @p43 :rule reordering :premises (@p42) :args ((or @t15 @t41 @t48 @t47 (not @t49)))) % 0.29/0.57 (step @p44 :rule chain_m_resolution :premises (@p43 @p7 @p33 @p41 @p37) :args (@t47 (@list true false false false) (@list @t15 @t38 @t44 @t49))) % 0.29/0.57 (step @p45 :rule cnf_or_pos :args (@t51)) % 0.29/0.57 (step @p46 :rule reordering :premises (@p45) :args ((or @t48 @t46 @t36 @t50 @t52))) % 0.29/0.57 (step @p47 :rule chain_m_resolution :premises (@p46 @p41 @p44 @p26 @p36) :args (@t52 (@list false true false false) (@list @t44 @t46 @t31 @t40))) % 0.29/0.57 (assume-push @p54 @t9) % 0.29/0.57 (step @p49 :rule instantiate :premises (@p4) :args (@t43)) % 0.29/0.57 (step-pop @p55 :rule scope :premises (@p49)) % 0.29/0.57 (step @p50 :rule process_scope :premises (@p55) :args (@t51)) % 0.29/0.57 (step @p52 :rule implies_elim :premises (@p50)) % 0.29/0.57 (step @p53 false :rule chain_m_resolution :premises (@p52 @p47 @p4) :args (false (@list true false) (@list @t51 @t9))) % 0.29/0.57 ) % 0.29/0.57 % SZS output end Proof % 0.29/0.57 % cvc5 exiting %------------------------------------------------------------------------------