%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL003-2 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 08:09:43 AM UTC 2026 % Result : Unsatisfiable 0.45s 0.65s % Output : Proof 0.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL003-2 : TPTP v9.2.1. Released v1.0.0. % 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 : n022.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 : Mon Jun 1 20:17:09 EDT 2026 % 0.16/0.34 % 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... % 0.45/0.65 % SZS status Unsatisfiable % 0.45/0.65 % SZS output start Proof % 0.45/0.65 ( % 0.45/0.65 (declare-sort $$unsorted 0) % 0.45/0.65 (declare-const tptp.fixed_pt $$unsorted) % 0.45/0.65 (declare-const tptp.fixed_point (-> $$unsorted Bool)) % 0.45/0.65 (declare-const tptp.w $$unsorted) % 0.45/0.65 (declare-const tptp.b $$unsorted) % 0.45/0.65 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.45/0.65 (define @t1 () (@var "Z" $$unsorted)) % 0.45/0.65 (define @t2 () (@var "Y" $$unsorted)) % 0.45/0.65 (define @t3 () (@var "X" $$unsorted)) % 0.45/0.65 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 0.45/0.65 (define @t5 () (@var "Strong_fixed_point" $$unsorted)) % 0.45/0.65 (define @t6 () (tptp.apply @t5 tptp.fixed_pt)) % 0.45/0.65 (define @t7 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b)) % 0.45/0.65 (define @t8 () (tptp.apply (tptp.apply tptp.b tptp.w) @t7)) % 0.45/0.65 (define @t9 () (tptp.apply tptp.w tptp.w)) % 0.45/0.65 (define @t10 () (tptp.apply (tptp.apply tptp.b @t9) @t8)) % 0.45/0.65 (define @t11 () (tptp.fixed_point @t10)) % 0.45/0.65 (define @t12 () (tptp.apply @t10 tptp.fixed_pt)) % 0.45/0.65 (define @t13 () (= @t12 (tptp.apply tptp.fixed_pt @t12))) % 0.45/0.65 (define @t14 () (not @t13)) % 0.45/0.65 (define @t15 () (or @t14 @t11)) % 0.45/0.65 (define @t16 () (tptp.apply @t8 tptp.fixed_pt)) % 0.45/0.65 (define @t17 () (tptp.apply @t16 @t16)) % 0.45/0.65 (define @t18 () (tptp.apply @t7 tptp.fixed_pt)) % 0.45/0.65 (define @t19 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.45/0.65 (define @t20 () (tptp.apply tptp.b @t19)) % 0.45/0.65 (define @t21 () (tptp.apply (tptp.apply @t20 @t16) @t16)) % 0.45/0.65 (define @t22 () (tptp.apply @t19 @t17)) % 0.45/0.65 (define @t23 () (= @t21 @t22)) % 0.45/0.65 (define @t24 () (@list @t19 @t16 @t16)) % 0.45/0.65 (define @t25 () (= @t22 @t21)) % 0.45/0.65 (define @t26 () (tptp.apply @t9 @t16)) % 0.45/0.65 (define @t27 () (= @t12 @t26)) % 0.45/0.65 (define @t28 () (tptp.apply tptp.w @t18)) % 0.45/0.65 (define @t29 () (= @t16 @t28)) % 0.45/0.65 (define @t30 () (tptp.apply (tptp.apply tptp.w @t16) @t16)) % 0.45/0.65 (define @t31 () (= @t26 @t30)) % 0.45/0.65 (define @t32 () (= @t18 @t20)) % 0.45/0.65 (define @t33 () (tptp.apply @t17 @t16)) % 0.45/0.65 (define @t34 () (= @t30 @t33)) % 0.45/0.65 (define @t35 () (tptp.apply tptp.fixed_pt @t33)) % 0.45/0.65 (define @t36 () (= (tptp.apply @t22 @t16) @t35)) % 0.45/0.65 (define @t37 () (tptp.apply @t18 @t16)) % 0.45/0.65 (define @t38 () (tptp.apply @t37 @t16)) % 0.45/0.65 (define @t39 () (= (tptp.apply @t28 @t16) @t38)) % 0.45/0.65 (define @t40 () (and @t27 @t29 @t31 @t32 @t34 @t36 @t39 @t25)) % 0.45/0.65 (assume @p1 @t4) % 0.45/0.65 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w @t3) @t2) (tptp.apply (tptp.apply @t3 @t2) @t2)))) % 0.45/0.65 (assume @p3 (forall (@list @t5) (or (not (= @t6 (tptp.apply tptp.fixed_pt @t6))) (tptp.fixed_point @t5)))) % 0.45/0.65 (assume @p4 (not @t11)) % 0.45/0.65 (step @p5 :rule instantiate :premises (@p3) :args ((@list @t10))) % 0.45/0.65 (step @p6 :rule cnf_or_pos :args (@t15)) % 0.45/0.65 (step @p7 :rule reordering :premises (@p6) :args ((or @t11 @t14 (not @t15)))) % 0.45/0.65 (step @p8 :rule chain_m_resolution :premises (@p7 @p4 @p5) :args (@t14 (@list true false) (@list @t11 @t15))) % 0.45/0.65 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t9 @t8 tptp.fixed_pt))) % 0.45/0.65 (step @p10 :rule instantiate :premises (@p1) :args ((@list tptp.w @t7 tptp.fixed_pt))) % 0.45/0.65 (step @p11 :rule instantiate :premises (@p2) :args ((@list tptp.w @t16))) % 0.45/0.65 (step @p12 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b tptp.fixed_pt))) % 0.45/0.65 (step @p13 :rule instantiate :premises (@p2) :args ((@list @t16 @t16))) % 0.45/0.65 (step @p14 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t17 @t16))) % 0.45/0.65 (step @p15 :rule instantiate :premises (@p2) :args ((@list @t18 @t16))) % 0.45/0.65 (step @p16 :rule eq-symm :args (@t21 @t22)) % 0.45/0.65 (step @p17 :rule refl :args (@t4)) % 0.45/0.65 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t4 @t23))) % 0.45/0.65 (assume-push @p68 @t4) % 0.45/0.65 (step @p20 :rule instantiate :premises (@p1) :args (@t24)) % 0.45/0.65 (step-pop @p69 :rule scope :premises (@p20)) % 0.45/0.65 (step @p21 :rule process_scope :premises (@p69) :args (@t23)) % 0.45/0.65 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.45/0.65 (step @p24 :rule implies_elim :premises (@p23)) % 0.45/0.65 (step @p25 :rule chain_m_resolution :premises (@p24 @p1) :args (@t25 (@list false) (@list @t4))) % 0.45/0.65 (assume-push @p70 @t27) % 0.45/0.65 (assume-push @p71 @t29) % 0.45/0.65 (assume-push @p72 @t31) % 0.45/0.65 (assume-push @p73 @t32) % 0.45/0.65 (assume-push @p74 @t34) % 0.45/0.65 (assume-push @p75 @t36) % 0.45/0.65 (assume-push @p76 @t39) % 0.45/0.65 (assume-push @p77 @t25) % 0.45/0.65 (step @p34 :rule symm :premises (@p9)) % 0.45/0.65 (step @p35 :rule refl :args (tptp.fixed_pt)) % 0.45/0.65 (step @p36 :rule cong :premises (@p35 @p34) :args ((tptp.apply tptp.fixed_pt @t26))) % 0.45/0.65 (step @p37 :rule symm :premises (@p11)) % 0.45/0.65 (step @p38 :rule symm :premises (@p13)) % 0.45/0.65 (step @p39 :rule trans :premises (@p38 @p37)) % 0.45/0.65 (step @p40 :rule cong :premises (@p35 @p39) :args (@t35)) % 0.45/0.65 (step @p41 :rule refl :args (@t16)) % 0.45/0.65 (step @p20 :rule instantiate :premises (@p1) :args (@t24)) % 0.45/0.65 (step @p42 :rule cong :premises (@p12 @p41) :args (@t37)) % 0.45/0.65 (step @p43 :rule cong :premises (@p42 @p41) :args (@t38)) % 0.45/0.65 (step @p44 :rule cong :premises (@p10 @p41) :args (@t17)) % 0.45/0.65 (step @p45 :rule trans :premises (@p44 @p15 @p43 @p20)) % 0.45/0.65 (step @p46 :rule symm :premises (@p44)) % 0.45/0.65 (step @p47 :rule symm :premises (@p15)) % 0.45/0.65 (step @p48 :rule trans :premises (@p47 @p46)) % 0.45/0.65 (step @p49 :rule trans :premises (@p48 @p45)) % 0.45/0.65 (step @p50 :rule cong :premises (@p49 @p41) :args ((tptp.apply @t38 @t16))) % 0.45/0.65 (step @p51 :rule symm :premises (@p48)) % 0.45/0.65 (step @p52 :rule cong :premises (@p51 @p41) :args (@t33)) % 0.45/0.65 (step @p53 :rule trans :premises (@p9 @p11 @p13 @p52 @p50 @p14 @p40 @p36)) % 0.45/0.65 (step-pop @p78 :rule scope :premises (@p53)) % 0.45/0.65 (step-pop @p79 :rule scope :premises (@p78)) % 0.45/0.65 (step-pop @p80 :rule scope :premises (@p79)) % 0.45/0.65 (step-pop @p81 :rule scope :premises (@p80)) % 0.45/0.65 (step-pop @p82 :rule scope :premises (@p81)) % 0.45/0.65 (step-pop @p83 :rule scope :premises (@p82)) % 0.45/0.65 (step-pop @p84 :rule scope :premises (@p83)) % 0.45/0.65 (step-pop @p85 :rule scope :premises (@p84)) % 0.45/0.65 (step @p54 :rule process_scope :premises (@p85) :args (@t13)) % 0.45/0.65 (step @p63 :rule implies_elim :premises (@p54)) % 0.45/0.65 (step @p64 :rule cnf_and_neg :args (@t40)) % 0.45/0.65 (step @p65 :rule resolution :premises (@p64 @p63) :args (true @t40)) % 0.45/0.65 (step @p66 :rule reordering :premises (@p65) :args ((or @t13 (not @t27) (not @t29) (not @t31) (not @t32) (not @t34) (not @t36) (not @t39) (not @t25)))) % 0.45/0.65 (step @p67 false :rule chain_m_resolution :premises (@p66 @p25 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8) :args (false (@list false false false false false false false false true) (@list @t25 @t39 @t36 @t34 @t32 @t31 @t29 @t27 @t13))) % 0.45/0.65 ) % 0.45/0.65 % SZS output end Proof % 0.45/0.65 % cvc5 exiting %------------------------------------------------------------------------------