%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET865-2 : 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 : n022.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 08:48:53 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.56s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET865-2 : 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 : n022.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 : Tue Jun 2 16:16:08 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.56 % SZS status Unsatisfiable % 0.39/0.56 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.c_Zorn_OHausdorff__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.v_x (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c_Zorn_Ochain (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.v_S $$unsorted) % 0.39/0.57 (declare-const tptp.c_Zorn_Omaxchain (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.t_a $$unsorted) % 0.39/0.57 (define @t1 () (tptp.tc_set tptp.t_a)) % 0.39/0.57 (define @t2 () (tptp.tc_set @t1)) % 0.39/0.57 (define @t3 () (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a)) % 0.39/0.57 (define @t4 () (@var "V_U" $$unsorted)) % 0.39/0.57 (define @t5 () (@list @t4)) % 0.39/0.57 (define @t6 () (not (tptp.c_in @t4 tptp.v_S @t1))) % 0.39/0.57 (define @t7 () (tptp.v_x @t4)) % 0.39/0.57 (define @t8 () (@var "T_a" $$unsorted)) % 0.39/0.57 (define @t9 () (@var "V_B" $$unsorted)) % 0.39/0.57 (define @t10 () (@var "V_c" $$unsorted)) % 0.39/0.57 (define @t11 () (tptp.tc_set @t8)) % 0.39/0.57 (define @t12 () (@var "V_A" $$unsorted)) % 0.39/0.57 (define @t13 () (tptp.tc_set @t11)) % 0.39/0.57 (define @t14 () (@var "V_S" $$unsorted)) % 0.39/0.57 (define @t15 () (tptp.c_Zorn_Omaxchain @t14 @t8)) % 0.39/0.57 (define @t16 () (@list @t14 @t8)) % 0.39/0.57 (define @t17 () (@var "V_u" $$unsorted)) % 0.39/0.57 (define @t18 () (tptp.c_Union @t10 @t8)) % 0.39/0.57 (define @t19 () (not (tptp.c_lessequals @t18 @t17 @t11))) % 0.39/0.57 (define @t20 () (not (tptp.c_in @t10 @t15 @t13))) % 0.39/0.57 (define @t21 () (not (tptp.c_in @t17 @t14 @t11))) % 0.39/0.57 (define @t22 () (or @t21 @t20 @t19 (= @t18 @t17))) % 0.39/0.57 (define @t23 () (@list @t17 @t14 @t8 @t10)) % 0.39/0.57 (define @t24 () (forall @t23 @t22)) % 0.39/0.57 (define @t25 () (tptp.c_Zorn_OHausdorff__1 tptp.v_S tptp.t_a)) % 0.39/0.57 (define @t26 () (tptp.c_Union @t25 tptp.t_a)) % 0.39/0.57 (define @t27 () (@list @t26)) % 0.39/0.57 (define @t28 () (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a)) % 0.39/0.57 (define @t29 () (@list tptp.v_S tptp.t_a)) % 0.39/0.57 (define @t30 () (tptp.c_in @t25 @t3 @t2)) % 0.39/0.57 (define @t31 () (tptp.c_lessequals @t28 @t3 (tptp.tc_set @t2))) % 0.39/0.57 (define @t32 () (not @t31)) % 0.39/0.57 (define @t33 () (tptp.c_in @t25 @t28 @t2)) % 0.39/0.57 (define @t34 () (not @t33)) % 0.39/0.57 (define @t35 () (or @t34 @t32 @t30)) % 0.39/0.57 (define @t36 () (not @t30)) % 0.39/0.57 (define @t37 () (tptp.c_in @t26 tptp.v_S @t1)) % 0.39/0.57 (define @t38 () (or @t37 @t36)) % 0.39/0.57 (define @t39 () (@list false false)) % 0.39/0.57 (define @t40 () (not @t37)) % 0.39/0.57 (define @t41 () (tptp.v_x @t26)) % 0.39/0.57 (define @t42 () (tptp.c_in @t41 tptp.v_S @t1)) % 0.39/0.57 (define @t43 () (or @t42 @t40)) % 0.39/0.57 (define @t44 () (tptp.c_lessequals @t26 @t41 @t1)) % 0.39/0.57 (define @t45 () (or @t44 @t40)) % 0.39/0.57 (define @t46 () (= @t26 @t41)) % 0.39/0.57 (define @t47 () (not @t46)) % 0.39/0.57 (define @t48 () (or @t47 @t40)) % 0.39/0.57 (define @t49 () (not @t44)) % 0.39/0.57 (define @t50 () (not @t42)) % 0.39/0.57 (define @t51 () (or @t50 @t34 @t49 @t46)) % 0.39/0.57 (define @t52 () (not @t51)) % 0.39/0.57 (define @t53 () (or @t50 @t34 @t49 (= @t41 @t26))) % 0.39/0.57 (define @t54 () (forall @t23 (or @t21 @t20 @t19 (= @t17 @t18)))) % 0.39/0.57 (assume @p1 (forall @t5 (or (tptp.c_in (tptp.c_Union @t4 tptp.t_a) tptp.v_S @t1) (not (tptp.c_in @t4 @t3 @t2))))) % 0.39/0.57 (assume @p2 (forall @t5 (or (tptp.c_in @t7 tptp.v_S @t1) @t6))) % 0.39/0.57 (assume @p3 (forall @t5 (or (tptp.c_lessequals @t4 @t7 @t1) @t6))) % 0.39/0.57 (assume @p4 (forall @t5 (or (not (= @t4 @t7)) @t6))) % 0.39/0.57 (assume @p5 (forall (@list @t10 @t12 @t8 @t9) (or (not (tptp.c_in @t10 @t12 @t8)) (not (tptp.c_lessequals @t12 @t9 @t11)) (tptp.c_in @t10 @t9 @t8)))) % 0.39/0.57 (assume @p6 (forall @t16 (tptp.c_in (tptp.c_Zorn_OHausdorff__1 @t14 @t8) @t15 @t13))) % 0.39/0.57 (assume @p7 @t24) % 0.39/0.57 (assume @p8 (forall @t16 (tptp.c_lessequals @t15 (tptp.c_Zorn_Ochain @t14 @t8) (tptp.tc_set @t13)))) % 0.39/0.57 (step @p9 :rule eq-symm :args (@t18 @t17)) % 0.39/0.57 (step @p10 :rule refl :args (@t19)) % 0.39/0.57 (step @p11 :rule refl :args (@t20)) % 0.39/0.57 (step @p12 :rule refl :args (@t21)) % 0.39/0.57 (step @p13 :rule nary_cong :premises (@p12 @p11 @p10 @p9) :args (@t22)) % 0.39/0.57 (step @p14 :rule cong :premises (@p13) :args (@t24)) % 0.39/0.57 (step @p15 :rule eq_resolve :premises (@p7 @p14)) % 0.39/0.57 (step @p16 :rule instantiate :premises (@p2) :args (@t27)) % 0.39/0.57 (step @p17 :rule instantiate :premises (@p1) :args ((@list @t25))) % 0.39/0.57 (step @p18 :rule instantiate :premises (@p5) :args ((@list @t25 @t28 @t2 @t3))) % 0.39/0.57 (step @p19 :rule instantiate :premises (@p6) :args (@t29)) % 0.39/0.57 (step @p20 :rule instantiate :premises (@p8) :args (@t29)) % 0.39/0.57 (step @p21 :rule cnf_or_pos :args (@t35)) % 0.39/0.57 (step @p22 :rule reordering :premises (@p21) :args ((or @t32 @t34 @t30 (not @t35)))) % 0.39/0.57 (step @p23 :rule chain_m_resolution :premises (@p22 @p20 @p19 @p18) :args (@t30 (@list false false false) (@list @t31 @t33 @t35))) % 0.39/0.57 (step @p24 :rule cnf_or_pos :args (@t38)) % 0.39/0.57 (step @p25 :rule reordering :premises (@p24) :args ((or @t36 @t37 (not @t38)))) % 0.39/0.57 (step @p26 :rule chain_m_resolution :premises (@p25 @p23 @p17) :args (@t37 @t39 (@list @t30 @t38))) % 0.39/0.57 (step @p27 :rule cnf_or_pos :args (@t43)) % 0.39/0.57 (step @p28 :rule reordering :premises (@p27) :args ((or @t40 @t42 (not @t43)))) % 0.39/0.57 (step @p29 :rule chain_m_resolution :premises (@p28 @p26 @p16) :args (@t42 @t39 (@list @t37 @t43))) % 0.39/0.57 (step @p30 :rule instantiate :premises (@p3) :args (@t27)) % 0.39/0.57 (step @p31 :rule cnf_or_pos :args (@t45)) % 0.39/0.57 (step @p32 :rule reordering :premises (@p31) :args ((or @t40 @t44 (not @t45)))) % 0.39/0.57 (step @p33 :rule chain_m_resolution :premises (@p32 @p26 @p30) :args (@t44 @t39 (@list @t37 @t45))) % 0.39/0.57 (step @p34 :rule instantiate :premises (@p4) :args (@t27)) % 0.39/0.57 (step @p35 :rule cnf_or_pos :args (@t48)) % 0.39/0.57 (step @p36 :rule reordering :premises (@p35) :args ((or @t40 @t47 (not @t48)))) % 0.39/0.57 (step @p37 :rule chain_m_resolution :premises (@p36 @p26 @p34) :args (@t47 @t39 (@list @t37 @t48))) % 0.39/0.57 (step @p38 :rule cnf_or_pos :args (@t51)) % 0.39/0.57 (step @p39 :rule reordering :premises (@p38) :args ((or @t34 @t46 @t49 @t50 @t52))) % 0.39/0.57 (step @p40 :rule chain_m_resolution :premises (@p39 @p19 @p37 @p33 @p29) :args (@t52 (@list false true false false) (@list @t33 @t46 @t44 @t42))) % 0.39/0.57 (step @p41 :rule eq-symm :args (@t41 @t26)) % 0.39/0.57 (step @p42 :rule refl :args (@t49)) % 0.39/0.57 (step @p43 :rule refl :args (@t34)) % 0.39/0.57 (step @p44 :rule refl :args (@t50)) % 0.39/0.57 (step @p45 :rule nary_cong :premises (@p44 @p43 @p42 @p41) :args (@t53)) % 0.39/0.57 (step @p46 :rule refl :args (@t54)) % 0.39/0.57 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t54 @t53))) % 0.39/0.57 (assume-push @p55 @t54) % 0.39/0.57 (step @p49 :rule instantiate :premises (@p15) :args ((@list @t41 tptp.v_S tptp.t_a @t25))) % 0.39/0.57 (step-pop @p56 :rule scope :premises (@p49)) % 0.39/0.57 (step @p50 :rule process_scope :premises (@p56) :args (@t53)) % 0.39/0.57 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 0.39/0.57 (step @p53 :rule implies_elim :premises (@p52)) % 0.39/0.57 (step @p54 false :rule chain_m_resolution :premises (@p53 @p40 @p15) :args (false (@list true false) (@list @t51 @t54))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------