%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SET822-2 : 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 : n026.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 08:48:43 AM UTC 2026 % Result : Unsatisfiable 0.35s 0.56s % Output : Proof 0.35s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SET822-2 : 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 % 0.16/0.34 % Computer : n026.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 16:13:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.27/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.27/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.35/0.56 % SZS status Unsatisfiable % 0.35/0.56 % SZS output start Proof % 0.35/0.57 ( % 0.35/0.57 (declare-sort $$unsorted 0) % 0.35/0.57 (declare-const tptp.tc_IntDef_Oint $$unsorted) % 0.35/0.57 (declare-const tptp.v_f (-> $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.v_b $$unsorted) % 0.35/0.57 (declare-const tptp.v_x (-> $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_insert (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.35/0.57 (declare-const tptp.c_in (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.v_P (-> $$unsorted Bool)) % 0.35/0.57 (declare-const tptp.c_emptyset $$unsorted) % 0.35/0.57 (define @t1 () (@var "T_a" $$unsorted)) % 0.35/0.57 (define @t2 () (@var "V_a" $$unsorted)) % 0.35/0.57 (define @t3 () (forall (@list @t2 @t1) (not (tptp.c_in @t2 tptp.c_emptyset @t1)))) % 0.35/0.57 (define @t4 () (@var "V_B" $$unsorted)) % 0.35/0.57 (define @t5 () (@var "V_x" $$unsorted)) % 0.35/0.57 (define @t6 () (@var "V_b" $$unsorted)) % 0.35/0.57 (define @t7 () (@var "V_A" $$unsorted)) % 0.35/0.57 (define @t8 () (forall (@list @t2 @t6 @t7 @t1) (or (not (tptp.c_in @t2 (tptp.c_insert @t6 @t7 @t1) @t1)) (tptp.c_in @t2 @t7 @t1) (= @t2 @t6)))) % 0.35/0.57 (define @t9 () (tptp.v_f tptp.v_b)) % 0.35/0.57 (define @t10 () (tptp.v_P @t9)) % 0.35/0.57 (define @t11 () (@var "V_V" $$unsorted)) % 0.35/0.57 (define @t12 () (@var "V_U" $$unsorted)) % 0.35/0.57 (define @t13 () (tptp.v_x @t12 @t11)) % 0.35/0.57 (define @t14 () (not (tptp.c_in (tptp.v_f @t12) @t11 tptp.tc_IntDef_Oint))) % 0.35/0.57 (define @t15 () (@list @t12 @t11)) % 0.35/0.57 (define @t16 () (tptp.c_insert @t9 tptp.c_emptyset tptp.tc_IntDef_Oint)) % 0.35/0.57 (define @t17 () (tptp.v_x tptp.v_b @t16)) % 0.35/0.57 (define @t18 () (tptp.c_in @t17 tptp.c_emptyset tptp.tc_IntDef_Oint)) % 0.35/0.57 (define @t19 () (tptp.c_in @t17 @t16 tptp.tc_IntDef_Oint)) % 0.35/0.57 (define @t20 () (not @t19)) % 0.35/0.57 (define @t21 () (or @t20 @t18 (= @t17 @t9))) % 0.35/0.57 (define @t22 () (= @t9 @t17)) % 0.35/0.57 (define @t23 () (or @t20 @t18 @t22)) % 0.35/0.57 (define @t24 () (@list tptp.v_b @t16)) % 0.35/0.57 (define @t25 () (tptp.v_P @t17)) % 0.35/0.57 (define @t26 () (not @t25)) % 0.35/0.57 (define @t27 () (tptp.c_in @t9 @t16 tptp.tc_IntDef_Oint)) % 0.35/0.57 (define @t28 () (not @t27)) % 0.35/0.57 (define @t29 () (or @t28 @t26)) % 0.35/0.57 (define @t30 () (@list false false)) % 0.35/0.57 (define @t31 () (not @t22)) % 0.35/0.57 (define @t32 () (not @t10)) % 0.35/0.57 (define @t33 () (and @t10 @t22 @t26)) % 0.35/0.57 (define @t34 () (or @t28 @t19)) % 0.35/0.57 (assume @p1 @t3) % 0.35/0.57 (assume @p2 (forall (@list @t5 @t4 @t1) (tptp.c_in @t5 (tptp.c_insert @t5 @t4 @t1) @t1))) % 0.35/0.57 (assume @p3 @t8) % 0.35/0.57 (assume @p4 @t10) % 0.35/0.57 (assume @p5 (forall @t15 (or @t14 (tptp.c_in @t13 @t11 tptp.tc_IntDef_Oint)))) % 0.35/0.57 (assume @p6 (forall @t15 (or @t14 (not (tptp.v_P @t13))))) % 0.35/0.57 (step @p7 :rule eq-symm :args (@t17 @t9)) % 0.35/0.57 (step @p8 :rule refl :args (@t18)) % 0.35/0.57 (step @p9 :rule refl :args (@t20)) % 0.35/0.57 (step @p10 :rule nary_cong :premises (@p9 @p8 @p7) :args (@t21)) % 0.35/0.57 (step @p11 :rule refl :args (@t8)) % 0.35/0.57 (step @p12 :rule cong :premises (@p11 @p10) :args ((=> @t8 @t21))) % 0.35/0.57 (assume-push @p70 @t8) % 0.35/0.57 (step @p14 :rule instantiate :premises (@p3) :args ((@list @t17 @t9 tptp.c_emptyset tptp.tc_IntDef_Oint))) % 0.35/0.57 (step-pop @p71 :rule scope :premises (@p14)) % 0.35/0.57 (step @p15 :rule process_scope :premises (@p71) :args (@t21)) % 0.35/0.57 (step @p17 :rule eq_resolve :premises (@p15 @p12)) % 0.35/0.57 (step @p18 :rule implies_elim :premises (@p17)) % 0.35/0.57 (step @p19 :rule chain_m_resolution :premises (@p18 @p3) :args (@t23 (@list false) (@list @t8))) % 0.35/0.57 (step @p20 :rule instantiate :premises (@p6) :args (@t24)) % 0.35/0.57 (step @p21 :rule instantiate :premises (@p2) :args ((@list @t9 tptp.c_emptyset tptp.tc_IntDef_Oint))) % 0.35/0.57 (step @p22 :rule cnf_or_pos :args (@t29)) % 0.35/0.57 (step @p23 :rule reordering :premises (@p22) :args ((or @t28 @t26 (not @t29)))) % 0.35/0.57 (step @p24 :rule chain_m_resolution :premises (@p23 @p21 @p20) :args (@t26 @t30 (@list @t27 @t29))) % 0.35/0.57 (step @p25 :rule refl :args (@t31)) % 0.35/0.57 (step @p26 :rule bool-double-not-elim :args (@t25)) % 0.35/0.57 (step @p27 :rule refl :args (@t32)) % 0.35/0.57 (step @p28 :rule nary_cong :premises (@p27 @p26 @p25) :args ((or @t32 (not @t26) @t31))) % 0.35/0.57 (assume-push @p72 @t10) % 0.35/0.57 (assume-push @p73 @t22) % 0.35/0.57 (assume-push @p74 @t26) % 0.35/0.57 (step @p32 :rule evaluate :args ((= false true))) % 0.35/0.57 (step @p33 :rule true_intro :premises (@p4)) % 0.35/0.57 (step @p34 :rule symm :premises (@p73)) % 0.35/0.57 (step @p35 :rule cong :premises (@p34) :args (@t25)) % 0.35/0.57 (step @p36 :rule false_intro :premises (@p24)) % 0.35/0.57 (step @p37 :rule symm :premises (@p36)) % 0.35/0.57 (step @p38 :rule trans :premises (@p37 @p35 @p33)) % 0.35/0.57 (step @p39 false :rule eq_resolve :premises (@p38 @p32)) % 0.35/0.57 (step-pop @p75 :rule scope :premises (@p39)) % 0.35/0.57 (step-pop @p76 :rule scope :premises (@p75)) % 0.35/0.57 (step-pop @p77 :rule scope :premises (@p76)) % 0.35/0.57 (step @p40 :rule process_scope :premises (@p77) :args (false)) % 0.35/0.57 (assume-push @p78 @t10) % 0.35/0.57 (assume-push @p79 @t26) % 0.35/0.57 (assume-push @p80 @t22) % 0.35/0.57 (step @p47 :rule and_intro :premises (@p4 @p80 @p24)) % 0.35/0.57 (step-pop @p81 :rule scope :premises (@p47)) % 0.35/0.57 (step-pop @p82 :rule scope :premises (@p81)) % 0.35/0.57 (step-pop @p83 :rule scope :premises (@p82)) % 0.35/0.57 (step @p48 :rule process_scope :premises (@p83) :args (@t33)) % 0.35/0.57 (step @p52 :rule implies_elim :premises (@p48)) % 0.35/0.57 (step @p53 :rule resolution :premises (@p52 @p40) :args (true @t33)) % 0.35/0.57 (step @p54 :rule not_and :premises (@p53)) % 0.35/0.57 (step @p55 :rule eq_resolve :premises (@p54 @p28)) % 0.35/0.57 (step @p56 :rule chain_m_resolution :premises (@p55 @p4 @p24) :args (@t31 (@list false true) (@list @t10 @t25))) % 0.35/0.57 (step @p57 :rule instantiate :premises (@p5) :args (@t24)) % 0.35/0.57 (step @p58 :rule cnf_or_pos :args (@t34)) % 0.35/0.57 (step @p59 :rule reordering :premises (@p58) :args ((or @t28 @t19 (not @t34)))) % 0.35/0.57 (step @p60 :rule chain_m_resolution :premises (@p59 @p21 @p57) :args (@t19 @t30 (@list @t27 @t34))) % 0.35/0.57 (step @p61 :rule cnf_or_pos :args (@t23)) % 0.35/0.57 (step @p62 :rule reordering :premises (@p61) :args ((or @t20 @t18 @t22 (not @t23)))) % 0.35/0.57 (step @p63 :rule chain_m_resolution :premises (@p62 @p60 @p56 @p19) :args (@t18 (@list false true false) (@list @t19 @t22 @t23))) % 0.35/0.57 (assume-push @p84 @t3) % 0.35/0.57 (step @p65 :rule instantiate :premises (@p1) :args ((@list @t17 tptp.tc_IntDef_Oint))) % 0.35/0.57 (step-pop @p85 :rule scope :premises (@p65)) % 0.35/0.57 (step @p66 :rule process_scope :premises (@p85) :args ((not @t18))) % 0.35/0.57 (step @p68 :rule implies_elim :premises (@p66)) % 0.35/0.57 (step @p69 false :rule chain_m_resolution :premises (@p68 @p63 @p1) :args (false @t30 (@list @t18 @t3))) % 0.35/0.57 ) % 0.35/0.57 % SZS output end Proof % 0.35/0.57 % cvc5 exiting %------------------------------------------------------------------------------