%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ANA012-2 : 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 : n010.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 08:06:31 AM UTC 2026 % Result : Unsatisfiable 0.29s 0.54s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ANA012-2 : 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 % 0.17/0.34 % Computer : n010.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Wed Jun 3 02:16:55 EDT 2026 % 0.17/0.34 % CPUTime : % 0.29/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.29/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.29/0.54 % SZS status Unsatisfiable % 0.29/0.54 % SZS output start Proof % 0.29/0.55 ( % 0.29/0.55 (declare-sort $$unsorted 0) % 0.29/0.55 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__abs (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.class_Ring__and__Field_Oordered__field (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.class_Ring__and__Field_Ofield (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.c_1 $$unsorted) % 0.29/0.55 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.29/0.55 (declare-const tptp.c_times (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.c_HOL_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.t_a $$unsorted) % 0.29/0.55 (declare-const tptp.c_HOL_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.29/0.55 (declare-const tptp.v_c $$unsorted) % 0.29/0.55 (declare-const tptp.c_0 $$unsorted) % 0.29/0.55 (define @t1 () (tptp.c_HOL_Oabs tptp.v_c tptp.t_a)) % 0.29/0.55 (define @t2 () (@var "V_U" $$unsorted)) % 0.29/0.55 (define @t3 () (tptp.class_Ring__and__Field_Oordered__field tptp.t_a)) % 0.29/0.55 (define @t4 () (@var "V_a" $$unsorted)) % 0.29/0.55 (define @t5 () (= @t4 tptp.c_0)) % 0.29/0.55 (define @t6 () (@var "T_a" $$unsorted)) % 0.29/0.55 (define @t7 () (tptp.c_HOL_Oabs @t4 @t6)) % 0.29/0.55 (define @t8 () (not (= @t7 tptp.c_0))) % 0.29/0.55 (define @t9 () (not (tptp.class_OrderedGroup_Olordered__ab__group__abs @t6))) % 0.29/0.55 (define @t10 () (or @t9 @t8 @t5)) % 0.29/0.55 (define @t11 () (@list @t6 @t4)) % 0.29/0.55 (define @t12 () (forall @t11 @t10)) % 0.29/0.55 (define @t13 () (@var "V_x" $$unsorted)) % 0.29/0.55 (define @t14 () (tptp.c_times (tptp.c_HOL_Oinverse @t4 @t6) @t4 @t6)) % 0.29/0.55 (define @t15 () (not (tptp.class_Ring__and__Field_Ofield @t6))) % 0.29/0.55 (define @t16 () (or @t15 @t5 (= @t14 tptp.c_1))) % 0.29/0.55 (define @t17 () (forall @t11 @t16)) % 0.29/0.55 (define @t18 () (@var "T" $$unsorted)) % 0.29/0.55 (define @t19 () (not (tptp.class_Ring__and__Field_Oordered__field @t18))) % 0.29/0.55 (define @t20 () (@list @t18)) % 0.29/0.55 (define @t21 () (tptp.c_HOL_Oinverse @t1 tptp.t_a)) % 0.29/0.55 (define @t22 () (@list tptp.t_a)) % 0.29/0.55 (define @t23 () (tptp.class_OrderedGroup_Olordered__ab__group__abs tptp.t_a)) % 0.29/0.55 (define @t24 () (not @t3)) % 0.29/0.55 (define @t25 () (or @t24 @t23)) % 0.29/0.55 (define @t26 () (@list false false)) % 0.29/0.55 (define @t27 () (= tptp.c_0 tptp.v_c)) % 0.29/0.55 (define @t28 () (= tptp.c_0 @t1)) % 0.29/0.55 (define @t29 () (not @t28)) % 0.29/0.55 (define @t30 () (not @t23)) % 0.29/0.55 (define @t31 () (or @t30 @t29 @t27)) % 0.29/0.55 (define @t32 () (tptp.class_Ring__and__Field_Ofield tptp.t_a)) % 0.29/0.55 (define @t33 () (or @t24 @t32)) % 0.29/0.55 (define @t34 () (= tptp.c_1 (tptp.c_times @t21 @t1 tptp.t_a))) % 0.29/0.55 (define @t35 () (not @t32)) % 0.29/0.55 (define @t36 () (or @t35 @t28 @t34)) % 0.29/0.55 (define @t37 () (tptp.c_lessequals tptp.c_1 tptp.c_1 tptp.t_a)) % 0.29/0.55 (define @t38 () (tptp.class_Orderings_Oorder tptp.t_a)) % 0.29/0.55 (define @t39 () (or @t24 @t38)) % 0.29/0.55 (define @t40 () (not @t38)) % 0.29/0.55 (define @t41 () (or @t40 @t37)) % 0.29/0.55 (assume @p1 (not (= tptp.v_c tptp.c_0))) % 0.29/0.55 (assume @p2 (forall (@list @t2) (not (tptp.c_lessequals tptp.c_1 (tptp.c_times @t2 @t1 tptp.t_a) tptp.t_a)))) % 0.29/0.55 (assume @p3 @t3) % 0.29/0.55 (assume @p4 @t12) % 0.29/0.55 (assume @p5 (forall (@list @t6 @t13) (or (not (tptp.class_Orderings_Oorder @t6)) (tptp.c_lessequals @t13 @t13 @t6)))) % 0.29/0.55 (assume @p6 @t17) % 0.29/0.55 (assume @p7 (forall @t20 (or @t19 (tptp.class_Ring__and__Field_Ofield @t18)))) % 0.29/0.55 (assume @p8 (forall @t20 (or @t19 (tptp.class_OrderedGroup_Olordered__ab__group__abs @t18)))) % 0.29/0.55 (assume @p9 (forall @t20 (or @t19 (tptp.class_Orderings_Oorder @t18)))) % 0.29/0.55 (step @p10 :rule evaluate :args ((= true false))) % 0.29/0.55 (step @p11 :rule instantiate :premises (@p2) :args ((@list @t21))) % 0.29/0.55 (step @p12 :rule false_intro :premises (@p11)) % 0.29/0.55 (step @p13 :rule refl :args (tptp.t_a)) % 0.29/0.55 (step @p14 :rule eq-symm :args (@t14 tptp.c_1)) % 0.29/0.55 (step @p15 :rule eq-symm :args (@t4 tptp.c_0)) % 0.29/0.55 (step @p16 :rule refl :args (@t15)) % 0.29/0.55 (step @p17 :rule nary_cong :premises (@p16 @p15 @p14) :args (@t16)) % 0.29/0.55 (step @p18 :rule cong :premises (@p17) :args (@t17)) % 0.29/0.55 (step @p19 :rule eq_resolve :premises (@p6 @p18)) % 0.29/0.55 (step @p20 :rule instantiate :premises (@p19) :args ((@list tptp.t_a @t1))) % 0.29/0.55 (step @p21 :rule eq-symm :args (@t7 tptp.c_0)) % 0.29/0.55 (step @p22 :rule cong :premises (@p21) :args (@t8)) % 0.29/0.55 (step @p23 :rule refl :args (@t9)) % 0.29/0.55 (step @p24 :rule nary_cong :premises (@p23 @p22 @p15) :args (@t10)) % 0.29/0.55 (step @p25 :rule cong :premises (@p24) :args (@t12)) % 0.29/0.55 (step @p26 :rule eq_resolve :premises (@p4 @p25)) % 0.29/0.55 (step @p27 :rule instantiate :premises (@p26) :args ((@list tptp.t_a tptp.v_c))) % 0.29/0.55 (step @p28 :rule instantiate :premises (@p8) :args (@t22)) % 0.29/0.55 (step @p29 :rule cnf_or_pos :args (@t25)) % 0.29/0.55 (step @p30 :rule reordering :premises (@p29) :args ((or @t24 @t23 (not @t25)))) % 0.29/0.55 (step @p31 :rule chain_m_resolution :premises (@p30 @p3 @p28) :args (@t23 @t26 (@list @t3 @t25))) % 0.29/0.55 (step @p32 :rule symm :premises (@p1)) % 0.29/0.55 (step @p33 :rule cnf_or_pos :args (@t31)) % 0.29/0.55 (step @p34 :rule reordering :premises (@p33) :args ((or @t27 @t30 @t29 (not @t31)))) % 0.29/0.55 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p31 @p27) :args (@t29 (@list true false false) (@list @t27 @t23 @t31))) % 0.29/0.55 (step @p36 :rule instantiate :premises (@p7) :args (@t22)) % 0.29/0.55 (step @p37 :rule cnf_or_pos :args (@t33)) % 0.29/0.55 (step @p38 :rule reordering :premises (@p37) :args ((or @t24 @t32 (not @t33)))) % 0.29/0.55 (step @p39 :rule chain_m_resolution :premises (@p38 @p3 @p36) :args (@t32 @t26 (@list @t3 @t33))) % 0.29/0.55 (step @p40 :rule cnf_or_pos :args (@t36)) % 0.29/0.55 (step @p41 :rule reordering :premises (@p40) :args ((or @t35 @t28 @t34 (not @t36)))) % 0.29/0.55 (step @p42 :rule chain_m_resolution :premises (@p41 @p39 @p35 @p20) :args (@t34 (@list false true false) (@list @t32 @t28 @t36))) % 0.29/0.55 (step @p43 :rule refl :args (tptp.c_1)) % 0.29/0.55 (step @p44 :rule cong :premises (@p43 @p42 @p13) :args (@t37)) % 0.29/0.55 (step @p45 :rule instantiate :premises (@p5) :args ((@list tptp.t_a tptp.c_1))) % 0.29/0.55 (step @p46 :rule instantiate :premises (@p9) :args (@t22)) % 0.29/0.55 (step @p47 :rule cnf_or_pos :args (@t39)) % 0.29/0.55 (step @p48 :rule reordering :premises (@p47) :args ((or @t24 @t38 (not @t39)))) % 0.29/0.55 (step @p49 :rule chain_m_resolution :premises (@p48 @p3 @p46) :args (@t38 @t26 (@list @t3 @t39))) % 0.29/0.55 (step @p50 :rule cnf_or_pos :args (@t41)) % 0.29/0.55 (step @p51 :rule reordering :premises (@p50) :args ((or @t40 @t37 (not @t41)))) % 0.29/0.55 (step @p52 :rule chain_m_resolution :premises (@p51 @p49 @p45) :args (@t37 @t26 (@list @t38 @t41))) % 0.29/0.55 (step @p53 :rule true_intro :premises (@p52)) % 0.29/0.55 (step @p54 :rule symm :premises (@p53)) % 0.29/0.55 (step @p55 :rule trans :premises (@p54 @p44 @p12)) % 0.29/0.55 (step @p56 false :rule eq_resolve :premises (@p55 @p10)) % 0.29/0.55 ) % 0.29/0.55 % SZS output end Proof % 0.29/0.55 % cvc5 exiting %------------------------------------------------------------------------------