%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL003-4 : 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 : n009.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 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL003-4 : TPTP v9.2.1. Released v1.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.33 % Computer : n009.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Mon Jun 1 20:16:59 EDT 2026 % 0.15/0.34 % CPUTime : % 0.31/0.48 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.46/0.66 % SZS status Unsatisfiable % 0.46/0.66 % SZS output start Proof % 0.46/0.66 ( % 0.46/0.66 (declare-sort $$unsorted 0) % 0.46/0.66 (declare-const tptp.fixed_pt $$unsorted) % 0.46/0.66 (declare-const tptp.fixed_point (-> $$unsorted Bool)) % 0.46/0.66 (declare-const tptp.w $$unsorted) % 0.46/0.66 (declare-const tptp.b $$unsorted) % 0.46/0.66 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.46/0.66 (define @t1 () (@var "Z" $$unsorted)) % 0.46/0.66 (define @t2 () (@var "Y" $$unsorted)) % 0.46/0.66 (define @t3 () (@var "X" $$unsorted)) % 0.46/0.66 (define @t4 () (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t3) @t2) @t1) (tptp.apply @t3 (tptp.apply @t2 @t1))))) % 0.46/0.66 (define @t5 () (@var "Strong_fixed_point" $$unsorted)) % 0.46/0.66 (define @t6 () (tptp.apply @t5 tptp.fixed_pt)) % 0.46/0.66 (define @t7 () (tptp.apply (tptp.apply tptp.b tptp.w) tptp.b)) % 0.46/0.66 (define @t8 () (tptp.apply tptp.w tptp.w)) % 0.46/0.66 (define @t9 () (tptp.apply (tptp.apply tptp.b @t8) @t7)) % 0.46/0.66 (define @t10 () (tptp.apply (tptp.apply tptp.b @t9) tptp.b)) % 0.46/0.66 (define @t11 () (tptp.fixed_point @t10)) % 0.46/0.66 (define @t12 () (tptp.apply @t10 tptp.fixed_pt)) % 0.46/0.66 (define @t13 () (= @t12 (tptp.apply tptp.fixed_pt @t12))) % 0.46/0.66 (define @t14 () (not @t13)) % 0.46/0.66 (define @t15 () (or @t14 @t11)) % 0.46/0.66 (define @t16 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.46/0.66 (define @t17 () (tptp.apply @t7 @t16)) % 0.46/0.66 (define @t18 () (tptp.apply @t17 @t17)) % 0.46/0.66 (define @t19 () (tptp.apply tptp.b @t16)) % 0.46/0.66 (define @t20 () (tptp.apply (tptp.apply @t19 @t17) @t17)) % 0.46/0.66 (define @t21 () (tptp.apply @t16 @t18)) % 0.46/0.66 (define @t22 () (= @t20 @t21)) % 0.46/0.66 (define @t23 () (@list @t16 @t17 @t17)) % 0.46/0.66 (define @t24 () (= @t21 @t20)) % 0.46/0.66 (define @t25 () (tptp.apply @t9 @t16)) % 0.46/0.66 (define @t26 () (= @t12 @t25)) % 0.46/0.66 (define @t27 () (tptp.apply @t8 @t17)) % 0.46/0.66 (define @t28 () (= @t25 @t27)) % 0.46/0.66 (define @t29 () (tptp.apply tptp.w @t19)) % 0.46/0.66 (define @t30 () (= @t17 @t29)) % 0.46/0.66 (define @t31 () (tptp.apply (tptp.apply tptp.w @t17) @t17)) % 0.46/0.66 (define @t32 () (= @t27 @t31)) % 0.46/0.66 (define @t33 () (tptp.apply @t18 @t17)) % 0.46/0.66 (define @t34 () (= @t31 @t33)) % 0.46/0.66 (define @t35 () (tptp.apply tptp.fixed_pt @t33)) % 0.46/0.66 (define @t36 () (= (tptp.apply @t21 @t17) @t35)) % 0.46/0.66 (define @t37 () (= (tptp.apply @t29 @t17) @t20)) % 0.46/0.66 (define @t38 () (and @t26 @t28 @t30 @t32 @t34 @t36 @t37 @t24)) % 0.46/0.66 (assume @p1 @t4) % 0.46/0.66 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w @t3) @t2) (tptp.apply (tptp.apply @t3 @t2) @t2)))) % 0.46/0.66 (assume @p3 (forall (@list @t5) (or (not (= @t6 (tptp.apply tptp.fixed_pt @t6))) (tptp.fixed_point @t5)))) % 0.46/0.66 (assume @p4 (not @t11)) % 0.46/0.66 (step @p5 :rule instantiate :premises (@p3) :args ((@list @t10))) % 0.46/0.66 (step @p6 :rule cnf_or_pos :args (@t15)) % 0.46/0.66 (step @p7 :rule reordering :premises (@p6) :args ((or @t11 @t14 (not @t15)))) % 0.46/0.66 (step @p8 :rule chain_m_resolution :premises (@p7 @p4 @p5) :args (@t14 (@list true false) (@list @t11 @t15))) % 0.46/0.66 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t9 tptp.b tptp.fixed_pt))) % 0.46/0.66 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t8 @t7 @t16))) % 0.46/0.66 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.w tptp.b @t16))) % 0.46/0.66 (step @p12 :rule instantiate :premises (@p2) :args ((@list tptp.w @t17))) % 0.46/0.66 (step @p13 :rule instantiate :premises (@p2) :args ((@list @t17 @t17))) % 0.46/0.66 (step @p14 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t18 @t17))) % 0.46/0.66 (step @p15 :rule instantiate :premises (@p2) :args ((@list @t19 @t17))) % 0.46/0.66 (step @p16 :rule eq-symm :args (@t20 @t21)) % 0.46/0.66 (step @p17 :rule refl :args (@t4)) % 0.46/0.66 (step @p18 :rule cong :premises (@p17 @p16) :args ((=> @t4 @t22))) % 0.46/0.66 (assume-push @p65 @t4) % 0.46/0.66 (step @p20 :rule instantiate :premises (@p1) :args (@t23)) % 0.46/0.66 (step-pop @p66 :rule scope :premises (@p20)) % 0.46/0.66 (step @p21 :rule process_scope :premises (@p66) :args (@t22)) % 0.46/0.66 (step @p23 :rule eq_resolve :premises (@p21 @p18)) % 0.46/0.66 (step @p24 :rule implies_elim :premises (@p23)) % 0.46/0.66 (step @p25 :rule chain_m_resolution :premises (@p24 @p1) :args (@t24 (@list false) (@list @t4))) % 0.46/0.66 (assume-push @p67 @t26) % 0.46/0.66 (assume-push @p68 @t28) % 0.46/0.66 (assume-push @p69 @t30) % 0.46/0.66 (assume-push @p70 @t32) % 0.46/0.66 (assume-push @p71 @t34) % 0.46/0.66 (assume-push @p72 @t36) % 0.46/0.66 (assume-push @p73 @t37) % 0.46/0.66 (assume-push @p74 @t24) % 0.46/0.66 (step @p34 :rule symm :premises (@p9)) % 0.46/0.66 (step @p35 :rule refl :args (tptp.fixed_pt)) % 0.46/0.66 (step @p36 :rule cong :premises (@p35 @p34) :args ((tptp.apply tptp.fixed_pt @t25))) % 0.46/0.66 (step @p37 :rule symm :premises (@p10)) % 0.46/0.66 (step @p38 :rule symm :premises (@p12)) % 0.46/0.66 (step @p39 :rule symm :premises (@p13)) % 0.46/0.66 (step @p40 :rule trans :premises (@p39 @p38 @p37)) % 0.46/0.66 (step @p41 :rule cong :premises (@p35 @p40) :args (@t35)) % 0.46/0.66 (step @p42 :rule refl :args (@t17)) % 0.46/0.66 (step @p20 :rule instantiate :premises (@p1) :args (@t23)) % 0.46/0.66 (step @p43 :rule cong :premises (@p20 @p42) :args ((tptp.apply @t20 @t17))) % 0.46/0.66 (step @p44 :rule cong :premises (@p11 @p42) :args (@t18)) % 0.46/0.66 (step @p45 :rule symm :premises (@p44)) % 0.46/0.66 (step @p46 :rule symm :premises (@p15)) % 0.46/0.66 (step @p47 :rule trans :premises (@p46 @p45)) % 0.46/0.66 (step @p48 :rule symm :premises (@p47)) % 0.46/0.66 (step @p49 :rule cong :premises (@p48 @p42) :args (@t33)) % 0.46/0.66 (step @p50 :rule trans :premises (@p9 @p10 @p12 @p13 @p49 @p43 @p14 @p41 @p36)) % 0.46/0.66 (step-pop @p75 :rule scope :premises (@p50)) % 0.46/0.66 (step-pop @p76 :rule scope :premises (@p75)) % 0.46/0.66 (step-pop @p77 :rule scope :premises (@p76)) % 0.46/0.66 (step-pop @p78 :rule scope :premises (@p77)) % 0.46/0.66 (step-pop @p79 :rule scope :premises (@p78)) % 0.46/0.66 (step-pop @p80 :rule scope :premises (@p79)) % 0.46/0.66 (step-pop @p81 :rule scope :premises (@p80)) % 0.46/0.66 (step-pop @p82 :rule scope :premises (@p81)) % 0.46/0.66 (step @p51 :rule process_scope :premises (@p82) :args (@t13)) % 0.46/0.66 (step @p60 :rule implies_elim :premises (@p51)) % 0.46/0.66 (step @p61 :rule cnf_and_neg :args (@t38)) % 0.46/0.66 (step @p62 :rule resolution :premises (@p61 @p60) :args (true @t38)) % 0.46/0.66 (step @p63 :rule reordering :premises (@p62) :args ((or @t13 (not @t26) (not @t28) (not @t30) (not @t32) (not @t34) (not @t36) (not @t37) (not @t24)))) % 0.46/0.66 (step @p64 false :rule chain_m_resolution :premises (@p63 @p25 @p15 @p14 @p13 @p12 @p11 @p10 @p9 @p8) :args (false (@list false false false false false false false false true) (@list @t24 @t37 @t36 @t34 @t32 @t30 @t28 @t26 @t13))) % 0.46/0.66 ) % 0.46/0.66 % SZS output end Proof % 0.46/0.66 % cvc5 exiting %------------------------------------------------------------------------------