%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET851-2 : 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 : n025.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 08:48:50 AM UTC 2026 % Result : Unsatisfiable 0.31s 0.55s % Output : Proof 0.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET851-2 : 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 : n025.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 16:15:46 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.31/0.55 % SZS status Unsatisfiable % 0.31/0.55 % SZS output start Proof % 0.31/0.55 ( % 0.31/0.55 (declare-sort $$unsorted 0) % 0.31/0.55 (declare-const tptp.v_m $$unsorted) % 0.31/0.55 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.v_x $$unsorted) % 0.31/0.55 (declare-const tptp.c_Zorn_OTFin (-> $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.t_a $$unsorted) % 0.31/0.55 (declare-const tptp.v_S $$unsorted) % 0.31/0.55 (declare-const tptp.c_Zorn_Osucc (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.31/0.55 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.31/0.55 (declare-const tptp.tc_set (-> $$unsorted $$unsorted)) % 0.31/0.55 (define @t1 () (@var "T_a" $$unsorted)) % 0.31/0.55 (define @t2 () (tptp.tc_set @t1)) % 0.31/0.55 (define @t3 () (@var "V_A" $$unsorted)) % 0.31/0.55 (define @t4 () (tptp.tc_set @t2)) % 0.31/0.55 (define @t5 () (@var "V_y" $$unsorted)) % 0.31/0.55 (define @t6 () (@var "V_S" $$unsorted)) % 0.31/0.55 (define @t7 () (@var "V_x" $$unsorted)) % 0.31/0.55 (define @t8 () (forall (@list @t7 @t5 @t1 @t6) (or (not (tptp.c_lessequals @t7 @t5 @t4)) (tptp.c_lessequals @t7 (tptp.c_Zorn_Osucc @t6 @t5 @t1) @t4)))) % 0.31/0.55 (define @t9 () (tptp.tc_set tptp.t_a)) % 0.31/0.55 (define @t10 () (tptp.tc_set @t9)) % 0.31/0.55 (define @t11 () (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a)) % 0.31/0.55 (define @t12 () (tptp.c_in tptp.v_x @t11 @t10)) % 0.31/0.55 (define @t13 () (tptp.c_Zorn_Osucc tptp.v_S tptp.v_x tptp.t_a)) % 0.31/0.55 (define @t14 () (tptp.c_lessequals @t13 tptp.v_m @t10)) % 0.31/0.55 (define @t15 () (tptp.c_Zorn_Osucc tptp.v_S tptp.v_m tptp.t_a)) % 0.31/0.55 (define @t16 () (tptp.c_lessequals @t15 @t13 @t10)) % 0.31/0.55 (define @t17 () (not @t16)) % 0.31/0.55 (define @t18 () (tptp.c_lessequals tptp.v_x tptp.v_m @t10)) % 0.31/0.55 (define @t19 () (tptp.c_lessequals @t15 tptp.v_x @t10)) % 0.31/0.55 (define @t20 () (@var "V_U" $$unsorted)) % 0.31/0.55 (define @t21 () (not (tptp.c_in @t20 @t11 @t10))) % 0.31/0.55 (define @t22 () (not (tptp.c_lessequals @t20 tptp.v_m @t10))) % 0.31/0.55 (define @t23 () (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S @t20 tptp.t_a) tptp.v_m @t10)) % 0.31/0.55 (define @t24 () (or @t23 (= @t20 tptp.v_m) @t22 @t21)) % 0.31/0.55 (define @t25 () (@list @t20)) % 0.31/0.55 (define @t26 () (forall @t25 @t24)) % 0.31/0.55 (define @t27 () (not @t12)) % 0.31/0.55 (define @t28 () (not @t18)) % 0.31/0.55 (define @t29 () (or @t14 (= tptp.v_m tptp.v_x) @t28 @t27)) % 0.31/0.55 (define @t30 () (forall @t25 (or @t23 (= tptp.v_m @t20) @t22 @t21))) % 0.31/0.55 (define @t31 () (= tptp.v_x tptp.v_m)) % 0.31/0.55 (define @t32 () (or @t14 @t31 @t28 @t27)) % 0.31/0.55 (define @t33 () (tptp.c_lessequals @t15 @t15 @t10)) % 0.31/0.55 (define @t34 () (not @t33)) % 0.31/0.55 (define @t35 () (not @t31)) % 0.31/0.55 (define @t36 () (and @t33 @t31 @t17)) % 0.31/0.55 (define @t37 () (@list true false)) % 0.31/0.55 (define @t38 () (not @t19)) % 0.31/0.55 (define @t39 () (or @t38 @t16)) % 0.31/0.55 (define @t40 () (not @t39)) % 0.31/0.55 (assume @p1 (forall (@list @t3 @t1) (tptp.c_lessequals @t3 @t3 @t2))) % 0.31/0.55 (assume @p2 @t8) % 0.31/0.55 (assume @p3 @t12) % 0.31/0.55 (assume @p4 (not @t14)) % 0.31/0.55 (assume @p5 @t17) % 0.31/0.55 (assume @p6 (or @t19 @t18)) % 0.31/0.55 (assume @p7 @t26) % 0.31/0.55 (step @p8 :rule refl :args (@t21)) % 0.31/0.55 (step @p9 :rule refl :args (@t22)) % 0.31/0.55 (step @p10 :rule eq-symm :args (@t20 tptp.v_m)) % 0.31/0.55 (step @p11 :rule refl :args (@t23)) % 0.31/0.55 (step @p12 :rule nary_cong :premises (@p11 @p10 @p9 @p8) :args (@t24)) % 0.31/0.55 (step @p13 :rule cong :premises (@p12) :args (@t26)) % 0.31/0.55 (step @p14 :rule eq_resolve :premises (@p7 @p13)) % 0.31/0.55 (step @p15 :rule refl :args (@t27)) % 0.31/0.55 (step @p16 :rule refl :args (@t28)) % 0.31/0.55 (step @p17 :rule eq-symm :args (tptp.v_m tptp.v_x)) % 0.31/0.55 (step @p18 :rule refl :args (@t14)) % 0.31/0.55 (step @p19 :rule nary_cong :premises (@p18 @p17 @p16 @p15) :args (@t29)) % 0.31/0.55 (step @p20 :rule refl :args (@t30)) % 0.31/0.55 (step @p21 :rule cong :premises (@p20 @p19) :args ((=> @t30 @t29))) % 0.31/0.55 (assume-push @p79 @t30) % 0.31/0.55 (step @p23 :rule instantiate :premises (@p14) :args ((@list tptp.v_x))) % 0.31/0.55 (step-pop @p80 :rule scope :premises (@p23)) % 0.31/0.55 (step @p24 :rule process_scope :premises (@p80) :args (@t29)) % 0.31/0.55 (step @p26 :rule eq_resolve :premises (@p24 @p21)) % 0.31/0.55 (step @p27 :rule implies_elim :premises (@p26)) % 0.31/0.55 (step @p28 :rule chain_m_resolution :premises (@p27 @p14) :args (@t32 (@list false) (@list @t30))) % 0.31/0.55 (step @p29 :rule instantiate :premises (@p1) :args ((@list @t15 @t9))) % 0.31/0.55 (step @p30 :rule refl :args (@t34)) % 0.31/0.55 (step @p31 :rule refl :args (@t35)) % 0.31/0.55 (step @p32 :rule bool-double-not-elim :args (@t16)) % 0.31/0.55 (step @p33 :rule nary_cong :premises (@p32 @p31 @p30) :args ((or (not @t17) @t35 @t34))) % 0.31/0.55 (assume-push @p81 @t33) % 0.31/0.55 (assume-push @p82 @t31) % 0.31/0.55 (assume-push @p83 @t17) % 0.31/0.55 (step @p37 :rule evaluate :args ((= false true))) % 0.31/0.55 (step @p38 :rule true_intro :premises (@p29)) % 0.31/0.55 (step @p39 :rule refl :args (@t10)) % 0.31/0.55 (step @p40 :rule refl :args (tptp.t_a)) % 0.31/0.55 (step @p41 :rule refl :args (tptp.v_S)) % 0.31/0.55 (step @p42 :rule cong :premises (@p41 @p82 @p40) :args (@t13)) % 0.31/0.55 (step @p43 :rule refl :args (@t15)) % 0.31/0.55 (step @p44 :rule cong :premises (@p43 @p42 @p39) :args (@t16)) % 0.31/0.55 (step @p45 :rule false_intro :premises (@p5)) % 0.31/0.55 (step @p46 :rule symm :premises (@p45)) % 0.31/0.55 (step @p47 :rule trans :premises (@p46 @p44 @p38)) % 0.31/0.55 (step @p48 false :rule eq_resolve :premises (@p47 @p37)) % 0.31/0.55 (step-pop @p84 :rule scope :premises (@p48)) % 0.31/0.55 (step-pop @p85 :rule scope :premises (@p84)) % 0.31/0.55 (step-pop @p86 :rule scope :premises (@p85)) % 0.31/0.55 (step @p49 :rule process_scope :premises (@p86) :args (false)) % 0.31/0.55 (assume-push @p87 @t17) % 0.31/0.55 (assume-push @p88 @t31) % 0.31/0.55 (assume-push @p89 @t33) % 0.31/0.55 (step @p56 :rule and_intro :premises (@p29 @p88 @p5)) % 0.31/0.55 (step-pop @p90 :rule scope :premises (@p56)) % 0.31/0.55 (step-pop @p91 :rule scope :premises (@p90)) % 0.31/0.55 (step-pop @p92 :rule scope :premises (@p91)) % 0.31/0.55 (step @p57 :rule process_scope :premises (@p92) :args (@t36)) % 0.31/0.55 (step @p61 :rule implies_elim :premises (@p57)) % 0.31/0.55 (step @p62 :rule resolution :premises (@p61 @p49) :args (true @t36)) % 0.31/0.55 (step @p63 :rule not_and :premises (@p62)) % 0.31/0.55 (step @p64 :rule eq_resolve :premises (@p63 @p33)) % 0.31/0.55 (step @p65 :rule chain_m_resolution :premises (@p64 @p5 @p29) :args (@t35 @t37 (@list @t16 @t33))) % 0.31/0.55 (step @p66 :rule cnf_or_pos :args (@t32)) % 0.31/0.55 (step @p67 :rule reordering :premises (@p66) :args ((or @t14 @t27 @t28 @t31 (not @t32)))) % 0.31/0.55 (step @p68 :rule chain_m_resolution :premises (@p67 @p4 @p3 @p65 @p28) :args (@t28 (@list true false true false) (@list @t14 @t12 @t31 @t32))) % 0.31/0.55 (step @p69 :rule chain_m_resolution :premises (@p6 @p68) :args (@t19 (@list true) (@list @t18))) % 0.31/0.55 (step @p70 :rule cnf_or_pos :args (@t39)) % 0.31/0.55 (step @p71 :rule reordering :premises (@p70) :args ((or @t16 @t38 @t40))) % 0.31/0.55 (step @p72 :rule chain_m_resolution :premises (@p71 @p5 @p69) :args (@t40 @t37 (@list @t16 @t19))) % 0.31/0.55 (assume-push @p93 @t8) % 0.31/0.55 (step @p74 :rule instantiate :premises (@p2) :args ((@list @t15 tptp.v_x tptp.t_a tptp.v_S))) % 0.31/0.55 (step-pop @p94 :rule scope :premises (@p74)) % 0.31/0.55 (step @p75 :rule process_scope :premises (@p94) :args (@t39)) % 0.31/0.55 (step @p77 :rule implies_elim :premises (@p75)) % 0.31/0.55 (step @p78 false :rule chain_m_resolution :premises (@p77 @p72 @p2) :args (false @t37 (@list @t39 @t8))) % 0.31/0.55 ) % 0.31/0.55 % SZS output end Proof % 0.31/0.56 % cvc5 exiting %------------------------------------------------------------------------------