%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET863-2 : 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 : n013.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 0.37s 0.59s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET863-2 : 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 : n013.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 16:16:15 EDT 2026 % 0.16/0.35 % CPUTime : % 0.26/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.26/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.59 % SZS status Unsatisfiable % 0.37/0.59 % SZS output start Proof % 0.37/0.59 ( % 0.37/0.59 (declare-sort $$unsorted 0) % 0.37/0.59 (declare-const tptp.v_x $$unsorted) % 0.37/0.59 (declare-const tptp.v_c $$unsorted) % 0.37/0.59 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.c_Main_OsubsetI__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_emptyset $$unsorted) % 0.37/0.59 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_union (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.37/0.59 (declare-const tptp.c_Zorn_Ochain (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_Zorn_Omaxchain__super__lemma__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.v_xa $$unsorted) % 0.37/0.59 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.v_y $$unsorted) % 0.37/0.59 (declare-const tptp.c_Zorn_Ochain__extend__1 (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.c_Zorn_Omaxchain (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.59 (declare-const tptp.t_a $$unsorted) % 0.37/0.59 (declare-const tptp.v_S $$unsorted) % 0.37/0.59 (define @t1 () (@var "T_a" $$unsorted)) % 0.37/0.59 (define @t2 () (@var "V_B" $$unsorted)) % 0.37/0.59 (define @t3 () (@var "V_c" $$unsorted)) % 0.37/0.59 (define @t4 () (tptp.tc_set @t1)) % 0.37/0.59 (define @t5 () (@var "V_A" $$unsorted)) % 0.37/0.59 (define @t6 () (tptp.c_lessequals @t5 @t2 @t4)) % 0.37/0.59 (define @t7 () (forall (@list @t3 @t5 @t1 @t2) (or (not (tptp.c_in @t3 @t5 @t1)) (not @t6) (tptp.c_in @t3 @t2 @t1)))) % 0.37/0.59 (define @t8 () (tptp.c_Main_OsubsetI__1 @t5 @t2 @t1)) % 0.37/0.59 (define @t9 () (@list @t5 @t2 @t1)) % 0.37/0.59 (define @t10 () (tptp.tc_set @t4)) % 0.37/0.59 (define @t11 () (@var "V_S" $$unsorted)) % 0.37/0.59 (define @t12 () (tptp.c_Zorn_Ochain @t11 @t1)) % 0.37/0.59 (define @t13 () (@var "V_z" $$unsorted)) % 0.37/0.59 (define @t14 () (tptp.c_in (tptp.c_union (tptp.c_insert @t13 tptp.c_emptyset @t4) @t3 @t4) @t12 @t10)) % 0.37/0.59 (define @t15 () (tptp.c_Zorn_Ochain__extend__1 @t3 @t13 @t1)) % 0.37/0.59 (define @t16 () (not (tptp.c_in @t3 @t12 @t10))) % 0.37/0.59 (define @t17 () (not (tptp.c_in @t13 @t11 @t4))) % 0.37/0.59 (define @t18 () (@list @t13 @t11 @t1 @t3)) % 0.37/0.59 (define @t19 () (@var "V_y" $$unsorted)) % 0.37/0.59 (define @t20 () (tptp.c_Zorn_Omaxchain__super__lemma__1 @t3 @t19 @t1)) % 0.37/0.59 (define @t21 () (tptp.c_in @t13 @t19 @t1)) % 0.37/0.59 (define @t22 () (@var "V_x" $$unsorted)) % 0.37/0.59 (define @t23 () (not (tptp.c_in (tptp.c_union (tptp.c_insert @t22 tptp.c_emptyset @t4) @t3 @t4) @t12 @t10))) % 0.37/0.59 (define @t24 () (not (tptp.c_in @t3 (tptp.c_Zorn_Omaxchain @t11 @t1) @t10))) % 0.37/0.59 (define @t25 () (not (tptp.c_in @t13 @t22 @t1))) % 0.37/0.59 (define @t26 () (@list @t13 @t22 @t1 @t3 @t11 @t19)) % 0.37/0.59 (define @t27 () (tptp.tc_set tptp.t_a)) % 0.37/0.59 (define @t28 () (tptp.tc_set @t27)) % 0.37/0.59 (define @t29 () (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) @t28)) % 0.37/0.59 (define @t30 () (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a)) % 0.37/0.59 (define @t31 () (tptp.c_in tptp.v_c @t30 @t28)) % 0.37/0.59 (define @t32 () (tptp.c_in tptp.v_x tptp.v_S @t27)) % 0.37/0.59 (define @t33 () (tptp.c_lessequals tptp.v_y tptp.v_x @t27)) % 0.37/0.59 (define @t34 () (tptp.c_in tptp.v_xa tptp.v_x tptp.t_a)) % 0.37/0.59 (define @t35 () (tptp.c_in tptp.v_xa tptp.v_y tptp.t_a)) % 0.37/0.59 (define @t36 () (@var "V_U" $$unsorted)) % 0.37/0.59 (define @t37 () (tptp.c_Zorn_Ochain__extend__1 tptp.v_c tptp.v_x tptp.t_a)) % 0.37/0.59 (define @t38 () (tptp.c_Main_OsubsetI__1 @t37 tptp.v_x tptp.t_a)) % 0.37/0.59 (define @t39 () (@list @t37 tptp.v_x tptp.t_a)) % 0.37/0.59 (define @t40 () (@list tptp.v_x tptp.v_S tptp.t_a tptp.v_c)) % 0.37/0.59 (define @t41 () (@list tptp.v_xa tptp.v_x tptp.t_a tptp.v_c tptp.v_S tptp.v_y)) % 0.37/0.59 (define @t42 () (tptp.c_Zorn_Omaxchain__super__lemma__1 tptp.v_c tptp.v_y tptp.t_a)) % 0.37/0.59 (define @t43 () (tptp.c_in @t42 tptp.v_c @t27)) % 0.37/0.59 (define @t44 () (tptp.c_in (tptp.c_union (tptp.c_insert tptp.v_x tptp.c_emptyset @t27) tptp.v_c @t27) @t30 @t28)) % 0.37/0.59 (define @t45 () (not @t44)) % 0.37/0.59 (define @t46 () (not @t29)) % 0.37/0.59 (define @t47 () (not @t34)) % 0.37/0.59 (define @t48 () (or @t47 @t46 @t45 @t35 @t43)) % 0.37/0.59 (define @t49 () (tptp.c_lessequals @t42 tptp.v_y @t27)) % 0.37/0.59 (define @t50 () (not @t49)) % 0.37/0.59 (define @t51 () (or @t47 @t46 @t45 @t50 @t35)) % 0.37/0.59 (define @t52 () (not @t43)) % 0.37/0.59 (define @t53 () (or @t49 @t52)) % 0.37/0.59 (define @t54 () (tptp.c_lessequals @t37 tptp.v_x @t27)) % 0.37/0.59 (define @t55 () (not @t54)) % 0.37/0.59 (define @t56 () (not @t31)) % 0.37/0.59 (define @t57 () (not @t32)) % 0.37/0.59 (define @t58 () (or @t57 @t56 @t55 @t44)) % 0.37/0.59 (define @t59 () (@list false false true false)) % 0.37/0.59 (define @t60 () (tptp.c_in @t38 tptp.v_x tptp.t_a)) % 0.37/0.59 (define @t61 () (not @t60)) % 0.37/0.59 (define @t62 () (or @t61 @t54)) % 0.37/0.59 (define @t63 () (@list true false)) % 0.37/0.59 (define @t64 () (not @t33)) % 0.37/0.59 (define @t65 () (tptp.c_in @t38 tptp.v_y tptp.t_a)) % 0.37/0.59 (define @t66 () (not @t65)) % 0.37/0.59 (define @t67 () (or @t66 @t64 @t60)) % 0.37/0.59 (define @t68 () (tptp.c_in @t37 tptp.v_c @t27)) % 0.37/0.59 (define @t69 () (or @t57 @t56 @t68 @t44)) % 0.37/0.59 (define @t70 () (not @t68)) % 0.37/0.59 (define @t71 () (tptp.c_lessequals @t37 tptp.v_y @t27)) % 0.37/0.59 (define @t72 () (or @t71 @t70)) % 0.37/0.59 (define @t73 () (tptp.c_in @t38 @t37 tptp.t_a)) % 0.37/0.59 (define @t74 () (or @t73 @t54)) % 0.37/0.59 (define @t75 () (not @t71)) % 0.37/0.59 (define @t76 () (not @t73)) % 0.37/0.59 (define @t77 () (or @t76 @t75 @t65)) % 0.37/0.59 (define @t78 () (not @t77)) % 0.37/0.59 (assume @p1 @t7) % 0.37/0.59 (assume @p2 (forall @t9 (or (tptp.c_in @t8 @t5 @t1) @t6))) % 0.37/0.59 (assume @p3 (forall @t9 (or (not (tptp.c_in @t8 @t2 @t1)) @t6))) % 0.37/0.59 (assume @p4 (forall @t18 (or @t17 @t16 (tptp.c_in @t15 @t3 @t4) @t14))) % 0.37/0.59 (assume @p5 (forall @t18 (or @t17 @t16 (not (tptp.c_lessequals @t15 @t13 @t4)) @t14))) % 0.37/0.59 (assume @p6 (forall @t26 (or @t25 @t24 @t23 @t21 (tptp.c_in @t20 @t3 @t4)))) % 0.37/0.59 (assume @p7 (forall @t26 (or @t25 @t24 @t23 (not (tptp.c_lessequals @t20 @t19 @t4)) @t21))) % 0.37/0.59 (assume @p8 @t29) % 0.37/0.59 (assume @p9 @t31) % 0.37/0.59 (assume @p10 @t32) % 0.37/0.59 (assume @p11 @t33) % 0.37/0.59 (assume @p12 @t34) % 0.37/0.59 (assume @p13 (not @t35)) % 0.37/0.59 (assume @p14 (forall (@list @t36) (or (tptp.c_lessequals @t36 tptp.v_y @t27) (not (tptp.c_in @t36 tptp.v_c @t27))))) % 0.37/0.59 (step @p15 :rule instantiate :premises (@p1) :args ((@list @t38 tptp.v_y tptp.t_a tptp.v_x))) % 0.37/0.59 (step @p16 :rule instantiate :premises (@p3) :args (@t39)) % 0.37/0.59 (step @p17 :rule instantiate :premises (@p5) :args (@t40)) % 0.37/0.59 (step @p18 :rule instantiate :premises (@p6) :args (@t41)) % 0.37/0.59 (step @p19 :rule cnf_or_pos :args (@t48)) % 0.37/0.59 (step @p20 :rule reordering :premises (@p19) :args ((or @t35 @t46 @t47 @t45 @t43 (not @t48)))) % 0.37/0.59 (step @p21 :rule instantiate :premises (@p7) :args (@t41)) % 0.37/0.59 (step @p22 :rule cnf_or_pos :args (@t51)) % 0.37/0.59 (step @p23 :rule reordering :premises (@p22) :args ((or @t35 @t46 @t47 @t45 @t50 (not @t51)))) % 0.37/0.59 (step @p24 :rule instantiate :premises (@p14) :args ((@list @t42))) % 0.37/0.59 (step @p25 :rule cnf_or_pos :args (@t53)) % 0.37/0.59 (step @p26 :rule reordering :premises (@p25) :args ((or @t52 @t49 (not @t53)))) % 0.37/0.59 (step @p27 :rule chain_m_resolution :premises (@p26 @p24 @p23 @p21 @p13 @p12 @p8 @p20 @p18 @p13 @p12 @p8) :args (@t45 (@list false true false true false false false false true false false) (@list @t53 @t49 @t51 @t35 @t34 @t29 @t43 @t48 @t35 @t34 @t29))) % 0.37/0.59 (step @p28 :rule cnf_or_pos :args (@t58)) % 0.37/0.59 (step @p29 :rule reordering :premises (@p28) :args ((or @t56 @t57 @t44 @t55 (not @t58)))) % 0.37/0.59 (step @p30 :rule chain_m_resolution :premises (@p29 @p9 @p10 @p27 @p17) :args (@t55 @t59 (@list @t31 @t32 @t44 @t58))) % 0.37/0.59 (step @p31 :rule cnf_or_pos :args (@t62)) % 0.37/0.59 (step @p32 :rule reordering :premises (@p31) :args ((or @t54 @t61 (not @t62)))) % 0.37/0.59 (step @p33 :rule chain_m_resolution :premises (@p32 @p30 @p16) :args (@t61 @t63 (@list @t54 @t62))) % 0.37/0.59 (step @p34 :rule cnf_or_pos :args (@t67)) % 0.37/0.59 (step @p35 :rule reordering :premises (@p34) :args ((or @t64 @t60 @t66 (not @t67)))) % 0.37/0.59 (step @p36 :rule chain_m_resolution :premises (@p35 @p11 @p33 @p15) :args (@t66 (@list false true false) (@list @t33 @t60 @t67))) % 0.37/0.59 (step @p37 :rule instantiate :premises (@p14) :args ((@list @t37))) % 0.37/0.59 (step @p38 :rule instantiate :premises (@p4) :args (@t40)) % 0.37/0.59 (step @p39 :rule cnf_or_pos :args (@t69)) % 0.37/0.59 (step @p40 :rule reordering :premises (@p39) :args ((or @t56 @t57 @t44 @t68 (not @t69)))) % 0.37/0.59 (step @p41 :rule chain_m_resolution :premises (@p40 @p9 @p10 @p27 @p38) :args (@t68 @t59 (@list @t31 @t32 @t44 @t69))) % 0.37/0.59 (step @p42 :rule cnf_or_pos :args (@t72)) % 0.37/0.59 (step @p43 :rule reordering :premises (@p42) :args ((or @t70 @t71 (not @t72)))) % 0.37/0.59 (step @p44 :rule chain_m_resolution :premises (@p43 @p41 @p37) :args (@t71 (@list false false) (@list @t68 @t72))) % 0.37/0.59 (step @p45 :rule instantiate :premises (@p2) :args (@t39)) % 0.37/0.59 (step @p46 :rule cnf_or_pos :args (@t74)) % 0.37/0.59 (step @p47 :rule reordering :premises (@p46) :args ((or @t54 @t73 (not @t74)))) % 0.37/0.59 (step @p48 :rule chain_m_resolution :premises (@p47 @p30 @p45) :args (@t73 @t63 (@list @t54 @t74))) % 0.37/0.59 (step @p49 :rule cnf_or_pos :args (@t77)) % 0.37/0.59 (step @p50 :rule reordering :premises (@p49) :args ((or @t76 @t75 @t65 @t78))) % 0.37/0.59 (step @p51 :rule chain_m_resolution :premises (@p50 @p48 @p44 @p36) :args (@t78 (@list false false true) (@list @t73 @t71 @t65))) % 0.37/0.59 (assume-push @p58 @t7) % 0.37/0.59 (step @p53 :rule instantiate :premises (@p1) :args ((@list @t38 @t37 tptp.t_a tptp.v_y))) % 0.37/0.59 (step-pop @p59 :rule scope :premises (@p53)) % 0.37/0.59 (step @p54 :rule process_scope :premises (@p59) :args (@t77)) % 0.37/0.59 (step @p56 :rule implies_elim :premises (@p54)) % 0.37/0.59 (step @p57 false :rule chain_m_resolution :premises (@p56 @p51 @p1) :args (false @t63 (@list @t77 @t7))) % 0.37/0.59 ) % 0.37/0.59 % SZS output end Proof % 0.37/0.60 % cvc5 exiting %------------------------------------------------------------------------------