%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET858-2 : 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 : n009.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 08:48:52 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.59s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SET858-2 : TPTP v9.2.1. Released v3.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n009.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 16:15:44 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.59 % SZS status Unsatisfiable % 0.39/0.59 % SZS output start Proof % 0.39/0.59 ( % 0.39/0.59 (declare-sort $$unsorted 0) % 0.39/0.59 (declare-const tptp.c_Zorn_OTFin__linear__lemma1__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v_n $$unsorted) % 0.39/0.59 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.59 (declare-const tptp.v_m $$unsorted) % 0.39/0.59 (declare-const tptp.c_Zorn_OTFin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.v_S $$unsorted) % 0.39/0.59 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.39/0.59 (declare-const tptp.t_a $$unsorted) % 0.39/0.59 (define @t1 () (tptp.tc_set tptp.t_a)) % 0.39/0.59 (define @t2 () (tptp.tc_set @t1)) % 0.39/0.59 (define @t3 () (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a)) % 0.39/0.59 (define @t4 () (tptp.c_in tptp.v_m @t3 @t2)) % 0.39/0.59 (define @t5 () (tptp.c_in tptp.v_n @t3 @t2)) % 0.39/0.59 (define @t6 () (tptp.c_lessequals tptp.v_n tptp.v_m @t2)) % 0.39/0.59 (define @t7 () (tptp.c_lessequals tptp.v_m tptp.v_n @t2)) % 0.39/0.59 (define @t8 () (@var "T_a" $$unsorted)) % 0.39/0.59 (define @t9 () (tptp.tc_set @t8)) % 0.39/0.59 (define @t10 () (@var "V_C" $$unsorted)) % 0.39/0.59 (define @t11 () (@var "V_A" $$unsorted)) % 0.39/0.59 (define @t12 () (@var "V_B" $$unsorted)) % 0.39/0.59 (define @t13 () (tptp.tc_set @t9)) % 0.39/0.59 (define @t14 () (@var "V_x" $$unsorted)) % 0.39/0.59 (define @t15 () (@var "V_S" $$unsorted)) % 0.39/0.59 (define @t16 () (@var "V_n" $$unsorted)) % 0.39/0.59 (define @t17 () (@var "V_m" $$unsorted)) % 0.39/0.59 (define @t18 () (tptp.c_lessequals (tptp.c_Zorn_Osucc @t15 @t17 @t8) @t16 @t13)) % 0.39/0.59 (define @t19 () (tptp.c_lessequals @t16 @t17 @t13)) % 0.39/0.59 (define @t20 () (tptp.c_Zorn_OTFin @t15 @t8)) % 0.39/0.59 (define @t21 () (tptp.c_Zorn_OTFin__linear__lemma1__1 @t15 @t17 @t8)) % 0.39/0.59 (define @t22 () (not (tptp.c_in @t16 @t20 @t13))) % 0.39/0.59 (define @t23 () (not (tptp.c_in @t17 @t20 @t13))) % 0.39/0.59 (define @t24 () (@list @t17 @t15 @t8 @t16)) % 0.39/0.59 (define @t25 () (not (= @t21 @t17))) % 0.39/0.59 (define @t26 () (or @t23 @t22 @t25 @t19 @t18)) % 0.39/0.59 (define @t27 () (forall @t24 @t26)) % 0.39/0.59 (define @t28 () (forall @t24 (or @t23 @t22 (not (tptp.c_lessequals (tptp.c_Zorn_Osucc @t15 @t21 @t8) @t17 @t13)) @t19 @t18))) % 0.39/0.59 (define @t29 () (@var "V_U" $$unsorted)) % 0.39/0.59 (define @t30 () (tptp.c_lessequals (tptp.c_Zorn_Osucc @t15 @t29 @t8) @t17 @t13)) % 0.39/0.59 (define @t31 () (not (tptp.c_lessequals @t29 @t17 @t13))) % 0.39/0.59 (define @t32 () (not (tptp.c_in @t29 @t20 @t13))) % 0.39/0.59 (define @t33 () (or @t32 @t23 @t31 @t30 (= @t29 @t17))) % 0.39/0.59 (define @t34 () (forall (@list @t29 @t15 @t8 @t17) @t33)) % 0.39/0.59 (define @t35 () (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a)) % 0.39/0.59 (define @t36 () (tptp.c_lessequals tptp.v_m @t35 @t2)) % 0.39/0.59 (define @t37 () (not @t36)) % 0.39/0.59 (define @t38 () (tptp.c_lessequals @t35 tptp.v_n @t2)) % 0.39/0.59 (define @t39 () (not @t38)) % 0.39/0.59 (define @t40 () (or @t39 @t37 @t7)) % 0.39/0.59 (define @t41 () (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S tptp.v_m tptp.t_a)) % 0.39/0.59 (define @t42 () (@list tptp.v_m tptp.v_S tptp.t_a tptp.v_n)) % 0.39/0.59 (define @t43 () (tptp.c_lessequals @t41 tptp.v_m @t2)) % 0.39/0.59 (define @t44 () (not @t5)) % 0.39/0.59 (define @t45 () (not @t4)) % 0.39/0.59 (define @t46 () (or @t45 @t44 @t6 @t43 @t38)) % 0.39/0.59 (define @t47 () (@list true false false true false)) % 0.39/0.59 (define @t48 () (tptp.c_in @t41 @t3 @t2)) % 0.39/0.59 (define @t49 () (or @t45 @t44 @t48 @t6 @t38)) % 0.39/0.59 (define @t50 () (= tptp.v_m @t41)) % 0.39/0.59 (define @t51 () (not @t50)) % 0.39/0.59 (define @t52 () (or @t45 @t44 @t51 @t6 @t38)) % 0.39/0.59 (define @t53 () (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S @t41 tptp.t_a) tptp.v_m @t2)) % 0.39/0.59 (define @t54 () (not @t43)) % 0.39/0.59 (define @t55 () (not @t48)) % 0.39/0.59 (define @t56 () (or @t55 @t45 @t54 @t53 @t50)) % 0.39/0.59 (define @t57 () (not @t53)) % 0.39/0.59 (define @t58 () (or @t45 @t44 @t57 @t6 @t38)) % 0.39/0.59 (define @t59 () (not @t58)) % 0.39/0.59 (assume @p1 @t4) % 0.39/0.59 (assume @p2 @t5) % 0.39/0.59 (assume @p3 (not @t6)) % 0.39/0.59 (assume @p4 (not @t7)) % 0.39/0.59 (assume @p5 (forall (@list @t12 @t10 @t8 @t11) (or (not (tptp.c_lessequals @t12 @t10 @t9)) (not (tptp.c_lessequals @t11 @t12 @t9)) (tptp.c_lessequals @t11 @t10 @t9)))) % 0.39/0.59 (assume @p6 (forall (@list @t14 @t15 @t8) (tptp.c_lessequals @t14 (tptp.c_Zorn_Osucc @t15 @t14 @t8) @t13))) % 0.39/0.59 (assume @p7 (forall @t24 (or @t23 @t22 (tptp.c_in @t21 @t20 @t13) @t19 @t18))) % 0.39/0.59 (assume @p8 (forall @t24 (or @t23 @t22 @t19 (tptp.c_lessequals @t21 @t17 @t13) @t18))) % 0.39/0.59 (assume @p9 @t27) % 0.39/0.59 (assume @p10 @t28) % 0.39/0.59 (assume @p11 @t34) % 0.39/0.59 (step @p12 :rule instantiate :premises (@p5) :args ((@list @t35 tptp.v_n @t1 tptp.v_m))) % 0.39/0.59 (step @p13 :rule instantiate :premises (@p6) :args ((@list tptp.v_m tptp.v_S tptp.t_a))) % 0.39/0.59 (step @p14 :rule cnf_or_pos :args (@t40)) % 0.39/0.59 (step @p15 :rule reordering :premises (@p14) :args ((or @t7 @t37 @t39 (not @t40)))) % 0.39/0.59 (step @p16 :rule chain_m_resolution :premises (@p15 @p4 @p13 @p12) :args (@t39 (@list true false false) (@list @t7 @t36 @t40))) % 0.39/0.59 (step @p17 :rule eq-symm :args (@t29 @t17)) % 0.39/0.59 (step @p18 :rule refl :args (@t30)) % 0.39/0.59 (step @p19 :rule refl :args (@t31)) % 0.39/0.59 (step @p20 :rule refl :args (@t23)) % 0.39/0.59 (step @p21 :rule refl :args (@t32)) % 0.39/0.59 (step @p22 :rule nary_cong :premises (@p21 @p20 @p19 @p18 @p17) :args (@t33)) % 0.39/0.59 (step @p23 :rule cong :premises (@p22) :args (@t34)) % 0.39/0.59 (step @p24 :rule eq_resolve :premises (@p11 @p23)) % 0.39/0.59 (step @p25 :rule instantiate :premises (@p24) :args ((@list @t41 tptp.v_S tptp.t_a tptp.v_m))) % 0.39/0.59 (step @p26 :rule instantiate :premises (@p8) :args (@t42)) % 0.39/0.59 (step @p27 :rule cnf_or_pos :args (@t46)) % 0.39/0.59 (step @p28 :rule reordering :premises (@p27) :args ((or @t6 @t45 @t44 @t43 @t38 (not @t46)))) % 0.39/0.59 (step @p29 :rule chain_m_resolution :premises (@p28 @p3 @p1 @p2 @p16 @p26) :args (@t43 @t47 (@list @t6 @t4 @t5 @t38 @t46))) % 0.39/0.59 (step @p30 :rule instantiate :premises (@p7) :args (@t42)) % 0.39/0.59 (step @p31 :rule cnf_or_pos :args (@t49)) % 0.39/0.59 (step @p32 :rule reordering :premises (@p31) :args ((or @t6 @t45 @t44 @t48 @t38 (not @t49)))) % 0.39/0.59 (step @p33 :rule chain_m_resolution :premises (@p32 @p3 @p1 @p2 @p16 @p30) :args (@t48 @t47 (@list @t6 @t4 @t5 @t38 @t49))) % 0.39/0.59 (step @p34 :rule refl :args (@t18)) % 0.39/0.59 (step @p35 :rule refl :args (@t19)) % 0.39/0.59 (step @p36 :rule eq-symm :args (@t21 @t17)) % 0.39/0.59 (step @p37 :rule cong :premises (@p36) :args (@t25)) % 0.39/0.59 (step @p38 :rule refl :args (@t22)) % 0.39/0.59 (step @p39 :rule nary_cong :premises (@p20 @p38 @p37 @p35 @p34) :args (@t26)) % 0.39/0.59 (step @p40 :rule cong :premises (@p39) :args (@t27)) % 0.39/0.59 (step @p41 :rule eq_resolve :premises (@p9 @p40)) % 0.39/0.59 (step @p42 :rule instantiate :premises (@p41) :args (@t42)) % 0.39/0.59 (step @p43 :rule cnf_or_pos :args (@t52)) % 0.39/0.59 (step @p44 :rule reordering :premises (@p43) :args ((or @t6 @t45 @t44 @t51 @t38 (not @t52)))) % 0.39/0.59 (step @p45 :rule chain_m_resolution :premises (@p44 @p3 @p1 @p2 @p16 @p42) :args (@t51 @t47 (@list @t6 @t4 @t5 @t38 @t52))) % 0.39/0.59 (step @p46 :rule cnf_or_pos :args (@t56)) % 0.39/0.59 (step @p47 :rule reordering :premises (@p46) :args ((or @t45 @t50 @t53 @t55 @t54 (not @t56)))) % 0.39/0.59 (step @p48 :rule chain_m_resolution :premises (@p47 @p1 @p45 @p33 @p29 @p25) :args (@t53 (@list false true false false false) (@list @t4 @t50 @t48 @t43 @t56))) % 0.39/0.59 (step @p49 :rule cnf_or_pos :args (@t58)) % 0.39/0.59 (step @p50 :rule reordering :premises (@p49) :args ((or @t6 @t45 @t44 @t57 @t38 @t59))) % 0.39/0.59 (step @p51 :rule chain_m_resolution :premises (@p50 @p3 @p1 @p2 @p48 @p16) :args (@t59 (@list true false false false true) (@list @t6 @t4 @t5 @t53 @t38))) % 0.39/0.59 (assume-push @p58 @t28) % 0.39/0.59 (step @p53 :rule instantiate :premises (@p10) :args (@t42)) % 0.39/0.59 (step-pop @p59 :rule scope :premises (@p53)) % 0.39/0.59 (step @p54 :rule process_scope :premises (@p59) :args (@t58)) % 0.39/0.59 (step @p56 :rule implies_elim :premises (@p54)) % 0.39/0.59 (step @p57 false :rule chain_m_resolution :premises (@p56 @p51 @p10) :args (false (@list true false) (@list @t58 @t28))) % 0.39/0.59 ) % 0.39/0.60 % SZS output end Proof % 0.39/0.60 % cvc5 exiting %------------------------------------------------------------------------------