%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET848-2 : TPTP v9.2.1. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/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 0.32s 0.56s % Output : Proof 0.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET848-2 : TPTP v9.2.1. Released v3.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n028.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 : Tue Jun 2 16:15:35 EDT 2026 % 0.17/0.34 % CPUTime : % 0.32/0.51 %----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... % 0.32/0.56 % SZS status Unsatisfiable % 0.32/0.56 % SZS output start Proof % 0.32/0.57 ( % 0.32/0.57 (declare-sort $$unsorted 0) % 0.32/0.57 (declare-const tptp.v_S $$unsorted) % 0.32/0.57 (declare-const tptp.c_Zorn_Omaxchain (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.c_Zorn_Ochain (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.c_Zorn_OTFin (-> $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.t_a $$unsorted) % 0.32/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.32/0.57 (declare-const tptp.c_minus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.32/0.57 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.32/0.57 (define @t1 () (@var "T_a" $$unsorted)) % 0.32/0.57 (define @t2 () (tptp.tc_set @t1)) % 0.32/0.57 (define @t3 () (@var "V_B" $$unsorted)) % 0.32/0.57 (define @t4 () (@var "V_A" $$unsorted)) % 0.32/0.57 (define @t5 () (@var "V_c" $$unsorted)) % 0.32/0.57 (define @t6 () (forall (@list @t4 @t1) (tptp.c_lessequals @t4 @t4 @t2))) % 0.32/0.57 (define @t7 () (tptp.tc_set @t2)) % 0.32/0.57 (define @t8 () (@var "V_S" $$unsorted)) % 0.32/0.57 (define @t9 () (tptp.c_Zorn_OTFin @t8 @t1)) % 0.32/0.57 (define @t10 () (@var "V_Y" $$unsorted)) % 0.32/0.57 (define @t11 () (tptp.tc_set @t7)) % 0.32/0.57 (define @t12 () (tptp.c_Zorn_Ochain @t8 @t1)) % 0.32/0.57 (define @t13 () (@list @t5 @t8 @t1)) % 0.32/0.57 (define @t14 () (tptp.c_Zorn_Osucc @t8 @t5 @t1)) % 0.32/0.57 (define @t15 () (not (= @t14 @t5))) % 0.32/0.57 (define @t16 () (not (tptp.c_in @t5 (tptp.c_minus @t12 (tptp.c_Zorn_Omaxchain @t8 @t1) @t11) @t7))) % 0.32/0.57 (define @t17 () (or @t16 @t15)) % 0.32/0.57 (define @t18 () (forall @t13 @t17)) % 0.32/0.57 (define @t19 () (tptp.tc_set tptp.t_a)) % 0.32/0.57 (define @t20 () (tptp.tc_set @t19)) % 0.32/0.57 (define @t21 () (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a)) % 0.32/0.57 (define @t22 () (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a)) % 0.32/0.57 (define @t23 () (tptp.c_Union @t22 @t19)) % 0.32/0.57 (define @t24 () (tptp.c_in @t23 @t21 @t20)) % 0.32/0.57 (define @t25 () (tptp.c_Zorn_Osucc tptp.v_S @t23 tptp.t_a)) % 0.32/0.57 (define @t26 () (@list @t23 tptp.v_S tptp.t_a)) % 0.32/0.57 (define @t27 () (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a)) % 0.32/0.57 (define @t28 () (= @t23 @t25)) % 0.32/0.57 (define @t29 () (not @t28)) % 0.32/0.57 (define @t30 () (tptp.tc_set @t20)) % 0.32/0.57 (define @t31 () (tptp.c_in @t23 (tptp.c_minus @t27 @t21 @t30) @t20)) % 0.32/0.57 (define @t32 () (not @t31)) % 0.32/0.57 (define @t33 () (or @t32 @t29)) % 0.32/0.57 (define @t34 () (tptp.c_in @t23 @t27 @t20)) % 0.32/0.57 (define @t35 () (not @t34)) % 0.32/0.57 (define @t36 () (or @t35 @t24 @t31)) % 0.32/0.57 (define @t37 () (tptp.c_in @t23 @t22 @t20)) % 0.32/0.57 (define @t38 () (not @t37)) % 0.32/0.57 (define @t39 () (or @t38 @t34)) % 0.32/0.57 (define @t40 () (@list true false)) % 0.32/0.57 (define @t41 () (tptp.c_lessequals @t22 @t22 @t30)) % 0.32/0.57 (define @t42 () (not @t41)) % 0.32/0.57 (define @t43 () (or @t42 @t37)) % 0.32/0.57 (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)))) % 0.32/0.57 (assume @p2 @t6) % 0.32/0.57 (assume @p3 (forall (@list @t10 @t8 @t1) (or (not (tptp.c_lessequals @t10 @t9 @t11)) (tptp.c_in (tptp.c_Union @t10 @t2) @t9 @t7)))) % 0.32/0.57 (assume @p4 (forall @t13 (or (not (tptp.c_in @t5 @t9 @t7)) (tptp.c_in @t5 @t12 @t7)))) % 0.32/0.57 (assume @p5 @t18) % 0.32/0.57 (assume @p6 (not @t24)) % 0.32/0.57 (assume @p7 (= @t25 @t23)) % 0.32/0.57 (step @p8 :rule instantiate :premises (@p3) :args ((@list @t22 tptp.v_S tptp.t_a))) % 0.32/0.57 (step @p9 :rule instantiate :premises (@p4) :args (@t26)) % 0.32/0.57 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t23 @t27 @t20 @t21))) % 0.32/0.57 (step @p11 :rule eq-symm :args (@t14 @t5)) % 0.32/0.57 (step @p12 :rule cong :premises (@p11) :args (@t15)) % 0.32/0.57 (step @p13 :rule refl :args (@t16)) % 0.32/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12) :args (@t17)) % 0.32/0.57 (step @p15 :rule cong :premises (@p14) :args (@t18)) % 0.32/0.57 (step @p16 :rule eq_resolve :premises (@p5 @p15)) % 0.32/0.57 (step @p17 :rule instantiate :premises (@p16) :args (@t26)) % 0.32/0.57 (step @p18 :rule symm :premises (@p7)) % 0.32/0.57 (step @p19 :rule cnf_or_pos :args (@t33)) % 0.32/0.57 (step @p20 :rule reordering :premises (@p19) :args ((or @t29 @t32 (not @t33)))) % 0.32/0.57 (step @p21 :rule chain_m_resolution :premises (@p20 @p18 @p17) :args (@t32 (@list false false) (@list @t28 @t33))) % 0.32/0.57 (step @p22 :rule cnf_or_pos :args (@t36)) % 0.32/0.57 (step @p23 :rule reordering :premises (@p22) :args ((or @t24 @t31 @t35 (not @t36)))) % 0.32/0.57 (step @p24 :rule chain_m_resolution :premises (@p23 @p6 @p21 @p10) :args (@t35 (@list true true false) (@list @t24 @t31 @t36))) % 0.32/0.57 (step @p25 :rule cnf_or_pos :args (@t39)) % 0.32/0.57 (step @p26 :rule reordering :premises (@p25) :args ((or @t34 @t38 (not @t39)))) % 0.32/0.57 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p9) :args (@t38 @t40 (@list @t34 @t39))) % 0.32/0.57 (step @p28 :rule cnf_or_pos :args (@t43)) % 0.32/0.57 (step @p29 :rule reordering :premises (@p28) :args ((or @t37 @t42 (not @t43)))) % 0.32/0.57 (step @p30 :rule chain_m_resolution :premises (@p29 @p27 @p8) :args (@t42 @t40 (@list @t37 @t43))) % 0.32/0.57 (assume-push @p37 @t6) % 0.32/0.57 (step @p32 :rule instantiate :premises (@p2) :args ((@list @t22 @t20))) % 0.32/0.57 (step-pop @p38 :rule scope :premises (@p32)) % 0.32/0.57 (step @p33 :rule process_scope :premises (@p38) :args (@t41)) % 0.32/0.57 (step @p35 :rule implies_elim :premises (@p33)) % 0.32/0.57 (step @p36 false :rule chain_m_resolution :premises (@p35 @p30 @p2) :args (false @t40 (@list @t41 @t6))) % 0.32/0.57 ) % 0.32/0.57 % SZS output end Proof % 0.32/0.57 % cvc5 exiting %------------------------------------------------------------------------------