%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET843-2 : 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 : n029.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 08:48:48 AM UTC 2026 % Result : Unsatisfiable 0.39s 0.57s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET843-2 : 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 % 0.17/0.35 % Computer : n029.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 16:15:02 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.57 % SZS status Unsatisfiable % 0.39/0.57 % SZS output start Proof % 0.39/0.57 ( % 0.39/0.57 (declare-sort $$unsorted 0) % 0.39/0.57 (declare-const tptp.v_m $$unsorted) % 0.39/0.57 (declare-const tptp.v_S $$unsorted) % 0.39/0.57 (declare-const tptp.t_a $$unsorted) % 0.39/0.57 (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c_Zorn_OTFin (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.39/0.57 (declare-const tptp.c_Union (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.57 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.39/0.57 (define @t1 () (@var "T_a" $$unsorted)) % 0.39/0.57 (define @t2 () (tptp.tc_set @t1)) % 0.39/0.57 (define @t3 () (@var "V_A" $$unsorted)) % 0.39/0.57 (define @t4 () (@var "V_B" $$unsorted)) % 0.39/0.57 (define @t5 () (@list @t4 @t3 @t1)) % 0.39/0.57 (define @t6 () (forall @t5 (or (not (tptp.c_in @t4 @t3 @t2)) (tptp.c_lessequals @t4 (tptp.c_Union @t3 @t1) @t2)))) % 0.39/0.57 (define @t7 () (not (tptp.c_lessequals @t3 @t4 @t2))) % 0.39/0.57 (define @t8 () (not (tptp.c_lessequals @t4 @t3 @t2))) % 0.39/0.57 (define @t9 () (or @t8 @t7 (= @t3 @t4))) % 0.39/0.57 (define @t10 () (forall @t5 @t9)) % 0.39/0.57 (define @t11 () (tptp.tc_set @t2)) % 0.39/0.57 (define @t12 () (@var "V_x" $$unsorted)) % 0.39/0.57 (define @t13 () (@var "V_S" $$unsorted)) % 0.39/0.57 (define @t14 () (tptp.c_Zorn_Osucc @t13 @t12 @t1)) % 0.39/0.57 (define @t15 () (@list @t12 @t13 @t1)) % 0.39/0.57 (define @t16 () (tptp.c_Zorn_OTFin @t13 @t1)) % 0.39/0.57 (define @t17 () (@var "V_Y" $$unsorted)) % 0.39/0.57 (define @t18 () (@var "V_m" $$unsorted)) % 0.39/0.57 (define @t19 () (@var "V_n" $$unsorted)) % 0.39/0.57 (define @t20 () (tptp.tc_set tptp.t_a)) % 0.39/0.57 (define @t21 () (tptp.tc_set @t20)) % 0.39/0.57 (define @t22 () (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a)) % 0.39/0.57 (define @t23 () (tptp.c_in tptp.v_m @t22 @t21)) % 0.39/0.57 (define @t24 () (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a)) % 0.39/0.57 (define @t25 () (= tptp.v_m @t24)) % 0.39/0.57 (define @t26 () (not @t25)) % 0.39/0.57 (define @t27 () (tptp.c_Union @t22 @t20)) % 0.39/0.57 (define @t28 () (= tptp.v_m @t27)) % 0.39/0.57 (define @t29 () (not @t28)) % 0.39/0.57 (define @t30 () (@list tptp.v_m tptp.v_S tptp.t_a)) % 0.39/0.57 (define @t31 () (tptp.c_in @t27 @t22 @t21)) % 0.39/0.57 (define @t32 () (tptp.c_lessequals @t22 @t22 (tptp.tc_set @t21))) % 0.39/0.57 (define @t33 () (not @t32)) % 0.39/0.57 (define @t34 () (or @t33 @t31)) % 0.39/0.57 (define @t35 () (@list false false)) % 0.39/0.57 (define @t36 () (tptp.c_lessequals @t27 tptp.v_m @t21)) % 0.39/0.57 (define @t37 () (not @t31)) % 0.39/0.57 (define @t38 () (not @t23)) % 0.39/0.57 (define @t39 () (or @t38 @t37 @t26 @t36)) % 0.39/0.57 (define @t40 () (tptp.c_lessequals tptp.v_m @t27 @t21)) % 0.39/0.57 (define @t41 () (or @t38 @t40)) % 0.39/0.57 (define @t42 () (not @t40)) % 0.39/0.57 (define @t43 () (not @t36)) % 0.39/0.57 (define @t44 () (and @t40 @t28 @t43)) % 0.39/0.57 (define @t45 () (or @t42 @t43 @t28)) % 0.39/0.57 (define @t46 () (tptp.c_lessequals @t24 tptp.v_m @t21)) % 0.39/0.57 (define @t47 () (not @t46)) % 0.39/0.57 (define @t48 () (tptp.c_lessequals tptp.v_m @t24 @t21)) % 0.39/0.57 (define @t49 () (not @t48)) % 0.39/0.57 (define @t50 () (or @t49 @t47 @t25)) % 0.39/0.57 (define @t51 () (tptp.c_lessequals @t24 @t27 @t21)) % 0.39/0.57 (define @t52 () (not @t51)) % 0.39/0.57 (define @t53 () (and @t28 @t47)) % 0.39/0.57 (define @t54 () (@list false true)) % 0.39/0.57 (define @t55 () (tptp.c_in @t24 @t22 @t21)) % 0.39/0.57 (define @t56 () (or @t38 @t55)) % 0.39/0.57 (define @t57 () (not @t55)) % 0.39/0.57 (define @t58 () (or @t57 @t51)) % 0.39/0.57 (define @t59 () (not @t58)) % 0.39/0.57 (assume @p1 @t6) % 0.39/0.57 (assume @p2 @t10) % 0.39/0.57 (assume @p3 (forall (@list @t3 @t1) (tptp.c_lessequals @t3 @t3 @t2))) % 0.39/0.57 (assume @p4 (forall @t15 (tptp.c_lessequals @t12 @t14 @t11))) % 0.39/0.57 (assume @p5 (forall @t15 (or (not (tptp.c_in @t12 @t16 @t11)) (tptp.c_in @t14 @t16 @t11)))) % 0.39/0.57 (assume @p6 (forall (@list @t17 @t13 @t1) (or (not (tptp.c_lessequals @t17 @t16 (tptp.tc_set @t11))) (tptp.c_in (tptp.c_Union @t17 @t2) @t16 @t11)))) % 0.39/0.57 (assume @p7 (forall (@list @t18 @t13 @t1 @t19) (or (not (tptp.c_in @t18 @t16 @t11)) (not (tptp.c_in @t19 @t16 @t11)) (not (= @t18 (tptp.c_Zorn_Osucc @t13 @t18 @t1))) (tptp.c_lessequals @t19 @t18 @t11)))) % 0.39/0.57 (assume @p8 @t23) % 0.39/0.57 (assume @p9 (or @t29 @t26)) % 0.39/0.57 (assume @p10 (or @t25 @t28)) % 0.39/0.57 (step @p11 :rule eq-symm :args (@t3 @t4)) % 0.39/0.57 (step @p12 :rule refl :args (@t7)) % 0.39/0.57 (step @p13 :rule refl :args (@t8)) % 0.39/0.57 (step @p14 :rule nary_cong :premises (@p13 @p12 @p11) :args (@t9)) % 0.39/0.57 (step @p15 :rule cong :premises (@p14) :args (@t10)) % 0.39/0.57 (step @p16 :rule eq_resolve :premises (@p2 @p15)) % 0.39/0.57 (step @p17 :rule instantiate :premises (@p16) :args ((@list tptp.v_m @t24 @t20))) % 0.39/0.57 (step @p18 :rule instantiate :premises (@p4) :args (@t30)) % 0.39/0.57 (step @p19 :rule instantiate :premises (@p16) :args ((@list tptp.v_m @t27 @t20))) % 0.39/0.57 (step @p20 :rule instantiate :premises (@p6) :args ((@list @t22 tptp.v_S tptp.t_a))) % 0.39/0.57 (step @p21 :rule instantiate :premises (@p3) :args ((@list @t22 @t21))) % 0.39/0.57 (step @p22 :rule cnf_or_pos :args (@t34)) % 0.39/0.57 (step @p23 :rule reordering :premises (@p22) :args ((or @t33 @t31 (not @t34)))) % 0.39/0.57 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t31 @t35 (@list @t32 @t34))) % 0.39/0.57 (step @p25 :rule instantiate :premises (@p7) :args ((@list tptp.v_m tptp.v_S tptp.t_a @t27))) % 0.39/0.57 (step @p26 :rule cnf_or_pos :args (@t39)) % 0.39/0.57 (step @p27 :rule reordering :premises (@p26) :args ((or @t26 @t38 @t36 @t37 (not @t39)))) % 0.39/0.57 (step @p28 :rule reordering :premises (@p10) :args ((or @t28 @t25))) % 0.39/0.57 (step @p29 :rule instantiate :premises (@p1) :args ((@list tptp.v_m @t22 @t20))) % 0.39/0.57 (step @p30 :rule cnf_or_pos :args (@t41)) % 0.39/0.57 (step @p31 :rule reordering :premises (@p30) :args ((or @t38 @t40 (not @t41)))) % 0.39/0.57 (step @p32 :rule chain_m_resolution :premises (@p31 @p8 @p29) :args (@t40 @t35 (@list @t23 @t41))) % 0.39/0.57 (step @p33 :rule bool-double-not-elim :args (@t36)) % 0.39/0.57 (step @p34 :rule refl :args (@t42)) % 0.39/0.57 (step @p35 :rule refl :args (@t29)) % 0.39/0.57 (step @p36 :rule nary_cong :premises (@p35 @p34 @p33) :args ((or @t29 @t42 (not @t43)))) % 0.39/0.57 (assume-push @p112 @t40) % 0.39/0.57 (assume-push @p113 @t28) % 0.39/0.57 (assume-push @p114 @t43) % 0.39/0.57 (step @p40 :rule evaluate :args ((= false true))) % 0.39/0.57 (step @p41 :rule true_intro :premises (@p32)) % 0.39/0.57 (step @p42 :rule refl :args (@t21)) % 0.39/0.57 (step @p43 :rule symm :premises (@p113)) % 0.39/0.57 (step @p44 :rule cong :premises (@p43 @p113 @p42) :args (@t36)) % 0.39/0.57 (step @p45 :rule false_intro :premises (@p114)) % 0.39/0.57 (step @p46 :rule symm :premises (@p45)) % 0.39/0.57 (step @p47 :rule trans :premises (@p46 @p44 @p41)) % 0.39/0.57 (step @p48 false :rule eq_resolve :premises (@p47 @p40)) % 0.39/0.57 (step-pop @p115 :rule scope :premises (@p48)) % 0.39/0.57 (step-pop @p116 :rule scope :premises (@p115)) % 0.39/0.57 (step-pop @p117 :rule scope :premises (@p116)) % 0.39/0.57 (step @p49 :rule process_scope :premises (@p117) :args (false)) % 0.39/0.57 (assume-push @p118 @t28) % 0.39/0.57 (assume-push @p119 @t40) % 0.39/0.57 (assume-push @p120 @t43) % 0.39/0.57 (step @p56 :rule and_intro :premises (@p32 @p118 @p120)) % 0.39/0.57 (step-pop @p121 :rule scope :premises (@p56)) % 0.39/0.57 (step-pop @p122 :rule scope :premises (@p121)) % 0.39/0.57 (step-pop @p123 :rule scope :premises (@p122)) % 0.39/0.57 (step @p57 :rule process_scope :premises (@p123) :args (@t44)) % 0.39/0.57 (step @p61 :rule implies_elim :premises (@p57)) % 0.39/0.57 (step @p62 :rule resolution :premises (@p61 @p49) :args (true @t44)) % 0.39/0.57 (step @p63 :rule not_and :premises (@p62)) % 0.39/0.57 (step @p64 :rule eq_resolve :premises (@p63 @p36)) % 0.39/0.57 (step @p65 :rule chain_m_resolution :premises (@p64 @p32 @p28 @p27 @p25 @p24 @p8) :args (@t36 (@list false false true false false false) (@list @t40 @t28 @t25 @t39 @t31 @t23))) % 0.39/0.57 (step @p66 :rule cnf_or_pos :args (@t45)) % 0.39/0.57 (step @p67 :rule reordering :premises (@p66) :args ((or @t28 @t42 @t43 (not @t45)))) % 0.39/0.57 (step @p68 :rule chain_m_resolution :premises (@p67 @p32 @p65 @p19) :args (@t28 (@list false false false) (@list @t40 @t36 @t45))) % 0.39/0.57 (step @p69 :rule chain_m_resolution :premises (@p9 @p68) :args (@t26 (@list false) (@list @t28))) % 0.39/0.57 (step @p70 :rule cnf_or_pos :args (@t50)) % 0.39/0.57 (step @p71 :rule reordering :premises (@p70) :args ((or @t25 @t49 @t47 (not @t50)))) % 0.39/0.57 (step @p72 :rule chain_m_resolution :premises (@p71 @p69 @p18 @p17) :args (@t47 (@list true false false) (@list @t25 @t48 @t50))) % 0.39/0.57 (step @p73 :rule refl :args (@t52)) % 0.39/0.57 (step @p74 :rule bool-double-not-elim :args (@t46)) % 0.39/0.57 (step @p75 :rule nary_cong :premises (@p35 @p74 @p73) :args ((or @t29 (not @t47) @t52))) % 0.39/0.57 (assume-push @p124 @t28) % 0.39/0.57 (assume-push @p125 @t47) % 0.39/0.57 (assume-push @p126 @t47) % 0.39/0.57 (assume-push @p127 @t28) % 0.39/0.57 (step @p80 :rule false_intro :premises (@p125)) % 0.39/0.57 (step @p42 :rule refl :args (@t21)) % 0.39/0.57 (step @p81 :rule symm :premises (@p124)) % 0.39/0.57 (step @p82 :rule refl :args (@t24)) % 0.39/0.57 (step @p83 :rule cong :premises (@p82 @p81 @p42) :args (@t51)) % 0.39/0.57 (step @p84 :rule trans :premises (@p83 @p80)) % 0.39/0.57 (step @p85 :rule false_elim :premises (@p84)) % 0.39/0.57 (step-pop @p128 :rule scope :premises (@p85)) % 0.39/0.57 (step-pop @p129 :rule scope :premises (@p128)) % 0.39/0.57 (step @p86 :rule process_scope :premises (@p129) :args (@t52)) % 0.39/0.57 (step @p89 :rule and_intro :premises (@p125 @p124)) % 0.39/0.57 (step @p90 :rule modus_ponens :premises (@p89 @p86)) % 0.39/0.57 (step-pop @p130 :rule scope :premises (@p90)) % 0.39/0.57 (step-pop @p131 :rule scope :premises (@p130)) % 0.39/0.57 (step @p91 :rule process_scope :premises (@p131) :args (@t52)) % 0.39/0.57 (step @p94 :rule implies_elim :premises (@p91)) % 0.39/0.57 (step @p95 :rule cnf_and_neg :args (@t53)) % 0.39/0.57 (step @p96 :rule resolution :premises (@p95 @p94) :args (true @t53)) % 0.39/0.57 (step @p97 :rule eq_resolve :premises (@p96 @p75)) % 0.39/0.57 (step @p98 :rule chain_m_resolution :premises (@p97 @p68 @p72) :args (@t52 @t54 (@list @t28 @t46))) % 0.39/0.57 (step @p99 :rule instantiate :premises (@p5) :args (@t30)) % 0.39/0.57 (step @p100 :rule cnf_or_pos :args (@t56)) % 0.39/0.57 (step @p101 :rule reordering :premises (@p100) :args ((or @t38 @t55 (not @t56)))) % 0.39/0.57 (step @p102 :rule chain_m_resolution :premises (@p101 @p8 @p99) :args (@t55 @t35 (@list @t23 @t56))) % 0.39/0.57 (step @p103 :rule cnf_or_pos :args (@t58)) % 0.39/0.57 (step @p104 :rule reordering :premises (@p103) :args ((or @t57 @t51 @t59))) % 0.39/0.57 (step @p105 :rule chain_m_resolution :premises (@p104 @p102 @p98) :args (@t59 @t54 (@list @t55 @t51))) % 0.39/0.57 (assume-push @p132 @t6) % 0.39/0.57 (step @p107 :rule instantiate :premises (@p1) :args ((@list @t24 @t22 @t20))) % 0.39/0.57 (step-pop @p133 :rule scope :premises (@p107)) % 0.39/0.57 (step @p108 :rule process_scope :premises (@p133) :args (@t58)) % 0.39/0.57 (step @p110 :rule implies_elim :premises (@p108)) % 0.39/0.57 (step @p111 false :rule chain_m_resolution :premises (@p110 @p105 @p1) :args (false (@list true false) (@list @t58 @t6))) % 0.39/0.57 ) % 0.39/0.57 % SZS output end Proof % 0.39/0.57 % cvc5 exiting %------------------------------------------------------------------------------