%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET847-2 : 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 : n028.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 08:48:49 AM UTC 2026 % Result : Unsatisfiable 0.40s 0.58s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET847-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n028.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 : Tue Jun 2 16:15:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.32/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.32/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.40/0.58 % SZS status Unsatisfiable % 0.40/0.58 % SZS output start Proof % 0.40/0.58 ( % 0.40/0.58 (declare-sort $$unsorted 0) % 0.40/0.58 (declare-const tptp.v_S $$unsorted) % 0.40/0.58 (declare-const tptp.c_Zorn_OTFin (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.c_Zorn_Omaxchain (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.c_emptyset $$unsorted) % 0.40/0.58 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.40/0.58 (declare-const tptp.t_a $$unsorted) % 0.40/0.58 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.c_Zorn_Ochain (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted)) % 0.40/0.58 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.40/0.58 (define @t1 () (@var "T_a" $$unsorted)) % 0.40/0.58 (define @t2 () (tptp.tc_set @t1)) % 0.40/0.58 (define @t3 () (@var "V_B" $$unsorted)) % 0.40/0.58 (define @t4 () (@var "V_A" $$unsorted)) % 0.40/0.58 (define @t5 () (@var "V_c" $$unsorted)) % 0.40/0.58 (define @t6 () (@var "V_a" $$unsorted)) % 0.40/0.58 (define @t7 () (@list @t4 @t1)) % 0.40/0.58 (define @t8 () (tptp.c_lessequals @t4 @t3 @t2)) % 0.40/0.58 (define @t9 () (tptp.tc_set @t2)) % 0.40/0.58 (define @t10 () (@var "V_S" $$unsorted)) % 0.40/0.58 (define @t11 () (tptp.c_Zorn_OTFin @t10 @t1)) % 0.40/0.58 (define @t12 () (@var "V_Y" $$unsorted)) % 0.40/0.58 (define @t13 () (tptp.tc_set @t9)) % 0.40/0.58 (define @t14 () (tptp.c_Zorn_Ochain @t10 @t1)) % 0.40/0.58 (define @t15 () (@list @t5 @t10 @t1)) % 0.40/0.58 (define @t16 () (tptp.c_Union @t11 @t2)) % 0.40/0.58 (define @t17 () (tptp.c_Zorn_Osucc @t10 @t5 @t1)) % 0.40/0.58 (define @t18 () (not (= @t17 @t5))) % 0.40/0.58 (define @t19 () (not (tptp.c_in @t5 (tptp.c_minus @t14 (tptp.c_Zorn_Omaxchain @t10 @t1) @t13) @t9))) % 0.40/0.58 (define @t20 () (or @t19 @t18)) % 0.40/0.58 (define @t21 () (forall @t15 @t20)) % 0.40/0.58 (define @t22 () (tptp.tc_set tptp.t_a)) % 0.40/0.58 (define @t23 () (tptp.tc_set @t22)) % 0.40/0.58 (define @t24 () (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a)) % 0.40/0.58 (define @t25 () (@var "V_U" $$unsorted)) % 0.40/0.58 (define @t26 () (forall (@list @t25) (not (tptp.c_in @t25 @t24 @t23)))) % 0.40/0.58 (define @t27 () (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a)) % 0.40/0.58 (define @t28 () (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a)) % 0.40/0.58 (define @t29 () (tptp.c_Union @t28 @t22)) % 0.40/0.58 (define @t30 () (@list @t29 tptp.v_S tptp.t_a)) % 0.40/0.58 (define @t31 () (tptp.c_in @t29 @t28 @t23)) % 0.40/0.58 (define @t32 () (tptp.tc_set @t23)) % 0.40/0.58 (define @t33 () (tptp.c_lessequals @t28 @t28 @t32)) % 0.40/0.58 (define @t34 () (not @t33)) % 0.40/0.58 (define @t35 () (or @t34 @t31)) % 0.40/0.58 (define @t36 () (@list false false)) % 0.40/0.58 (define @t37 () (tptp.c_in @t29 @t27 @t23)) % 0.40/0.58 (define @t38 () (not @t31)) % 0.40/0.58 (define @t39 () (or @t38 @t37)) % 0.40/0.58 (define @t40 () (= @t29 (tptp.c_Zorn_Osucc tptp.v_S @t29 tptp.t_a))) % 0.40/0.58 (define @t41 () (or @t38 @t40)) % 0.40/0.58 (define @t42 () (not @t40)) % 0.40/0.58 (define @t43 () (tptp.c_in @t29 (tptp.c_minus @t27 @t24 @t32) @t23)) % 0.40/0.58 (define @t44 () (not @t43)) % 0.40/0.58 (define @t45 () (or @t44 @t42)) % 0.40/0.58 (define @t46 () (tptp.c_in @t29 @t24 @t23)) % 0.40/0.58 (define @t47 () (not @t37)) % 0.40/0.58 (define @t48 () (or @t47 @t46 @t43)) % 0.40/0.58 (assume @p1 (forall (@list @t5 @t4 @t1 @t3) (or (not (tptp.c_in @t5 @t4 @t1)) (tptp.c_in @t5 @t3 @t1) (tptp.c_in @t5 (tptp.c_minus @t4 @t3 @t2) @t1)))) % 0.40/0.58 (assume @p2 (forall (@list @t6 @t1) (not (tptp.c_in @t6 tptp.c_emptyset @t1)))) % 0.40/0.58 (assume @p3 (forall @t7 (tptp.c_lessequals tptp.c_emptyset @t4 @t2))) % 0.40/0.58 (assume @p4 (forall (@list @t4 @t3 @t1) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 @t4 @t3 @t1) @t4 @t1) @t8))) % 0.40/0.58 (assume @p5 (forall (@list @t3 @t4 @t1) (or (not (tptp.c_lessequals @t3 @t4 @t2)) (not @t8) (= @t4 @t3)))) % 0.40/0.58 (assume @p6 (forall @t7 (tptp.c_lessequals @t4 @t4 @t2))) % 0.40/0.58 (assume @p7 (forall (@list @t12 @t10 @t1) (or (not (tptp.c_lessequals @t12 @t11 @t13)) (tptp.c_in (tptp.c_Union @t12 @t2) @t11 @t9)))) % 0.40/0.58 (assume @p8 (forall @t15 (or (not (tptp.c_in @t5 @t11 @t9)) (tptp.c_in @t5 @t14 @t9)))) % 0.40/0.58 (assume @p9 (forall (@list @t10 @t1) (or (not (tptp.c_in @t16 @t11 @t9)) (= @t16 (tptp.c_Zorn_Osucc @t10 @t16 @t1))))) % 0.40/0.58 (assume @p10 @t21) % 0.40/0.58 (assume @p11 @t26) % 0.40/0.58 (step @p12 :rule instantiate :premises (@p1) :args ((@list @t29 @t27 @t23 @t24))) % 0.40/0.58 (step @p13 :rule instantiate :premises (@p8) :args (@t30)) % 0.40/0.58 (step @p14 :rule instantiate :premises (@p7) :args ((@list @t28 tptp.v_S tptp.t_a))) % 0.40/0.58 (step @p15 :rule instantiate :premises (@p6) :args ((@list @t28 @t23))) % 0.40/0.58 (step @p16 :rule cnf_or_pos :args (@t35)) % 0.40/0.58 (step @p17 :rule reordering :premises (@p16) :args ((or @t31 @t34 (not @t35)))) % 0.40/0.58 (step @p18 :rule chain_m_resolution :premises (@p17 @p15 @p14) :args (@t31 @t36 (@list @t33 @t35))) % 0.40/0.58 (step @p19 :rule cnf_or_pos :args (@t39)) % 0.40/0.58 (step @p20 :rule reordering :premises (@p19) :args ((or @t38 @t37 (not @t39)))) % 0.40/0.58 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p13) :args (@t37 @t36 (@list @t31 @t39))) % 0.40/0.58 (step @p22 :rule eq-symm :args (@t17 @t5)) % 0.40/0.58 (step @p23 :rule cong :premises (@p22) :args (@t18)) % 0.40/0.58 (step @p24 :rule refl :args (@t19)) % 0.40/0.58 (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t20)) % 0.40/0.58 (step @p26 :rule cong :premises (@p25) :args (@t21)) % 0.40/0.58 (step @p27 :rule eq_resolve :premises (@p10 @p26)) % 0.40/0.58 (step @p28 :rule instantiate :premises (@p27) :args (@t30)) % 0.40/0.58 (step @p29 :rule instantiate :premises (@p9) :args ((@list tptp.v_S tptp.t_a))) % 0.40/0.58 (step @p30 :rule cnf_or_pos :args (@t41)) % 0.40/0.58 (step @p31 :rule reordering :premises (@p30) :args ((or @t38 @t40 (not @t41)))) % 0.40/0.58 (step @p32 :rule chain_m_resolution :premises (@p31 @p18 @p29) :args (@t40 @t36 (@list @t31 @t41))) % 0.40/0.58 (step @p33 :rule cnf_or_pos :args (@t45)) % 0.40/0.58 (step @p34 :rule reordering :premises (@p33) :args ((or @t42 @t44 (not @t45)))) % 0.40/0.58 (step @p35 :rule chain_m_resolution :premises (@p34 @p32 @p28) :args (@t44 @t36 (@list @t40 @t45))) % 0.40/0.58 (step @p36 :rule cnf_or_pos :args (@t48)) % 0.40/0.58 (step @p37 :rule reordering :premises (@p36) :args ((or @t43 @t47 @t46 (not @t48)))) % 0.40/0.58 (step @p38 :rule chain_m_resolution :premises (@p37 @p35 @p21 @p12) :args (@t46 (@list true false false) (@list @t43 @t37 @t48))) % 0.40/0.58 (assume-push @p45 @t26) % 0.40/0.58 (step @p40 :rule instantiate :premises (@p11) :args ((@list @t29))) % 0.40/0.58 (step-pop @p46 :rule scope :premises (@p40)) % 0.40/0.58 (step @p41 :rule process_scope :premises (@p46) :args ((not @t46))) % 0.40/0.58 (step @p43 :rule implies_elim :premises (@p41)) % 0.40/0.58 (step @p44 false :rule chain_m_resolution :premises (@p43 @p38 @p11) :args (false @t36 (@list @t46 @t26))) % 0.40/0.58 ) % 0.40/0.59 % SZS output end Proof % 0.40/0.59 % cvc5 exiting %------------------------------------------------------------------------------