%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL003-10 : TPTP v9.2.1. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:09:42 AM UTC 2026 % Result : Unsatisfiable 0.51s 0.76s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL003-10 : TPTP v9.2.1. Released v7.3.0. % 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 : n004.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 20:16:22 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.30/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.76 % SZS status Unsatisfiable % 0.51/0.76 % SZS output start Proof % 0.51/0.77 ( % 0.51/0.77 (declare-sort $$unsorted 0) % 0.51/0.77 (declare-const tptp.fixed_pt $$unsorted) % 0.51/0.77 (declare-const tptp.fixed_point (-> $$unsorted $$unsorted)) % 0.51/0.77 (declare-const tptp.true $$unsorted) % 0.51/0.77 (declare-const tptp.w $$unsorted) % 0.51/0.77 (declare-const tptp.b $$unsorted) % 0.51/0.77 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.77 (declare-const tptp.ifeq (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.51/0.77 (define @t1 () (@var "B" $$unsorted)) % 0.51/0.77 (define @t2 () (@var "C" $$unsorted)) % 0.51/0.77 (define @t3 () (@var "A" $$unsorted)) % 0.51/0.77 (define @t4 () (tptp.ifeq @t3 @t3 @t1 @t2)) % 0.51/0.77 (define @t5 () (@list @t3 @t1 @t2)) % 0.51/0.77 (define @t6 () (forall @t5 (= @t4 @t1))) % 0.51/0.77 (define @t7 () (@var "Z" $$unsorted)) % 0.51/0.77 (define @t8 () (@var "Y" $$unsorted)) % 0.51/0.77 (define @t9 () (@var "X" $$unsorted)) % 0.51/0.77 (define @t10 () (forall (@list @t9 @t8 @t7) (= (tptp.apply (tptp.apply (tptp.apply tptp.b @t9) @t8) @t7) (tptp.apply @t9 (tptp.apply @t8 @t7))))) % 0.51/0.77 (define @t11 () (@var "Strong_fixed_point" $$unsorted)) % 0.51/0.77 (define @t12 () (tptp.apply @t11 tptp.fixed_pt)) % 0.51/0.77 (define @t13 () (tptp.ifeq @t12 (tptp.apply tptp.fixed_pt @t12) (tptp.fixed_point @t11) tptp.true)) % 0.51/0.77 (define @t14 () (forall (@list @t11) (= @t13 tptp.true))) % 0.51/0.77 (define @t15 () (tptp.apply tptp.b tptp.w)) % 0.51/0.77 (define @t16 () (tptp.apply tptp.b @t15)) % 0.51/0.77 (define @t17 () (tptp.apply @t16 tptp.b)) % 0.51/0.77 (define @t18 () (tptp.apply tptp.w tptp.w)) % 0.51/0.77 (define @t19 () (tptp.apply (tptp.apply tptp.b @t18) @t17)) % 0.51/0.77 (define @t20 () (tptp.apply (tptp.apply tptp.b @t19) tptp.b)) % 0.51/0.77 (define @t21 () (tptp.fixed_point @t20)) % 0.51/0.77 (define @t22 () (tptp.apply tptp.fixed_pt (tptp.apply @t20 tptp.fixed_pt))) % 0.51/0.77 (define @t23 () (tptp.ifeq @t22 @t22 @t21 tptp.true)) % 0.51/0.77 (define @t24 () (= @t21 @t23)) % 0.51/0.77 (define @t25 () (= @t23 @t21)) % 0.51/0.77 (define @t26 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.51/0.77 (define @t27 () (tptp.apply @t17 @t26)) % 0.51/0.77 (define @t28 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b)) % 0.51/0.77 (define @t29 () (tptp.apply @t27 @t27)) % 0.51/0.77 (define @t30 () (tptp.apply tptp.b @t26)) % 0.51/0.77 (define @t31 () (tptp.apply @t30 @t27)) % 0.51/0.77 (define @t32 () (tptp.apply @t31 @t27)) % 0.51/0.77 (define @t33 () (tptp.apply @t26 @t29)) % 0.51/0.77 (define @t34 () (= @t32 @t33)) % 0.51/0.77 (define @t35 () (@list false)) % 0.51/0.77 (define @t36 () (@list @t10)) % 0.51/0.77 (define @t37 () (tptp.apply tptp.fixed_pt (tptp.apply @t19 @t26))) % 0.51/0.77 (define @t38 () (tptp.apply (tptp.apply @t26 @t20) tptp.fixed_pt)) % 0.51/0.77 (define @t39 () (= @t38 @t22)) % 0.51/0.77 (define @t40 () (forall @t5 (= @t1 @t4))) % 0.51/0.77 (assume @p1 @t6) % 0.51/0.77 (assume @p2 @t10) % 0.51/0.77 (assume @p3 (forall (@list @t9 @t8) (= (tptp.apply (tptp.apply tptp.w @t9) @t8) (tptp.apply (tptp.apply @t9 @t8) @t8)))) % 0.51/0.77 (assume @p4 @t14) % 0.51/0.77 (assume @p5 (not (= @t21 tptp.true))) % 0.51/0.77 (step @p6 :rule eq-symm :args (@t4 @t1)) % 0.51/0.77 (step @p7 :rule cong :premises (@p6) :args (@t6)) % 0.51/0.77 (step @p8 :rule eq_resolve :premises (@p1 @p7)) % 0.51/0.77 (step @p9 :rule bool-eq-false :args (@t24)) % 0.51/0.77 (step @p10 :rule symm :premises (@p9)) % 0.51/0.77 (step @p11 :rule eq-symm :args (@t23 @t21)) % 0.51/0.77 (step @p12 :rule cong :premises (@p11) :args ((not @t25))) % 0.51/0.77 (step @p13 :rule bool-eq-false :args (@t25)) % 0.51/0.77 (step @p14 :rule trans :premises (@p13 @p12)) % 0.51/0.77 (step @p15 :rule trans :premises (@p14 @p10)) % 0.51/0.77 (step @p16 :rule symm :premises (@p5)) % 0.51/0.77 (step @p17 :rule false_intro :premises (@p16)) % 0.51/0.77 (step @p18 :rule refl :args (@t21)) % 0.51/0.77 (step @p19 :rule eq-symm :args (@t13 tptp.true)) % 0.51/0.77 (step @p20 :rule cong :premises (@p19) :args (@t14)) % 0.51/0.77 (step @p21 :rule eq_resolve :premises (@p4 @p20)) % 0.51/0.77 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t20))) % 0.51/0.77 (step @p23 :rule symm :premises (@p22)) % 0.51/0.77 (step @p24 :rule refl :args (tptp.true)) % 0.51/0.77 (step @p25 :rule refl :args (@t22)) % 0.51/0.77 (step @p26 :rule instantiate :premises (@p2) :args ((@list @t19 tptp.b tptp.fixed_pt))) % 0.51/0.77 (step @p27 :rule symm :premises (@p26)) % 0.51/0.77 (step @p28 :rule instantiate :premises (@p2) :args ((@list @t18 @t17 @t26))) % 0.51/0.77 (step @p29 :rule symm :premises (@p28)) % 0.51/0.77 (step @p30 :rule instantiate :premises (@p3) :args ((@list tptp.w @t27))) % 0.51/0.77 (step @p31 :rule symm :premises (@p30)) % 0.51/0.77 (step @p32 :rule instantiate :premises (@p3) :args ((@list @t27 @t27))) % 0.51/0.77 (step @p33 :rule symm :premises (@p32)) % 0.51/0.77 (step @p34 :rule instantiate :premises (@p2) :args ((@list @t15 tptp.b @t26))) % 0.51/0.77 (step @p35 :rule symm :premises (@p34)) % 0.51/0.77 (step @p36 :rule instantiate :premises (@p2) :args ((@list tptp.b tptp.b tptp.fixed_pt))) % 0.51/0.77 (step @p37 :rule refl :args (@t15)) % 0.51/0.77 (step @p38 :rule cong :premises (@p37 @p36) :args ((tptp.apply @t15 (tptp.apply @t28 tptp.fixed_pt)))) % 0.51/0.77 (step @p39 :rule instantiate :premises (@p2) :args ((@list @t15 @t28 tptp.fixed_pt))) % 0.51/0.77 (step @p40 :rule trans :premises (@p39 @p38 @p35)) % 0.51/0.77 (step @p41 :rule refl :args (@t29)) % 0.51/0.77 (step @p42 :rule cong :premises (@p41 @p40) :args ((tptp.apply @t29 (tptp.apply (tptp.apply @t16 @t28) tptp.fixed_pt)))) % 0.51/0.77 (step @p43 :rule symm :premises (@p40)) % 0.51/0.77 (step @p44 :rule refl :args (@t27)) % 0.51/0.77 (step @p45 :rule cong :premises (@p35 @p44) :args ((tptp.apply (tptp.apply @t15 @t30) @t27))) % 0.51/0.77 (step @p46 :rule instantiate :premises (@p2) :args ((@list tptp.w @t30 @t27))) % 0.51/0.77 (step @p47 :rule symm :premises (@p46)) % 0.51/0.77 (step @p48 :rule trans :premises (@p47 @p45)) % 0.51/0.77 (step @p49 :rule cong :premises (@p48 @p43) :args ((tptp.apply (tptp.apply tptp.w @t31) @t27))) % 0.51/0.77 (step @p50 :rule instantiate :premises (@p3) :args ((@list @t31 @t27))) % 0.51/0.77 (step @p51 :rule symm :premises (@p50)) % 0.51/0.77 (step @p52 :rule eq-symm :args (@t32 @t33)) % 0.51/0.77 (step @p53 :rule refl :args (@t10)) % 0.51/0.77 (step @p54 :rule cong :premises (@p53 @p52) :args ((=> @t10 @t34))) % 0.51/0.77 (assume-push @p93 @t10) % 0.51/0.77 (step @p56 :rule instantiate :premises (@p2) :args ((@list @t26 @t27 @t27))) % 0.51/0.77 (step-pop @p94 :rule scope :premises (@p56)) % 0.51/0.77 (step @p57 :rule process_scope :premises (@p94) :args (@t34)) % 0.51/0.77 (step @p59 :rule eq_resolve :premises (@p57 @p54)) % 0.51/0.77 (step @p60 :rule implies_elim :premises (@p59)) % 0.51/0.77 (step @p61 :rule chain_m_resolution :premises (@p60 @p2) :args ((= @t33 @t32) @t35 @t36)) % 0.51/0.77 (step @p62 :rule cong :premises (@p61 @p44) :args ((tptp.apply @t33 @t27))) % 0.51/0.77 (step @p63 :rule instantiate :premises (@p2) :args ((@list tptp.fixed_pt @t29 @t27))) % 0.51/0.77 (step @p64 :rule symm :premises (@p63)) % 0.51/0.77 (step @p65 :rule trans :premises (@p28 @p30 @p32)) % 0.51/0.77 (step @p66 :rule refl :args (tptp.fixed_pt)) % 0.51/0.77 (step @p67 :rule cong :premises (@p66 @p65) :args (@t37)) % 0.51/0.77 (step @p68 :rule cong :premises (@p66 @p27) :args (@t37)) % 0.51/0.77 (step @p69 :rule symm :premises (@p68)) % 0.51/0.77 (step @p70 :rule instantiate :premises (@p2) :args ((@list tptp.fixed_pt @t20 tptp.fixed_pt))) % 0.51/0.77 (step @p71 :rule trans :premises (@p70 @p69 @p67 @p64 @p62 @p51 @p49 @p42 @p33 @p31 @p29 @p27)) % 0.51/0.77 (step @p72 :rule eq-symm :args (@t38 @t22)) % 0.51/0.77 (step @p73 :rule cong :premises (@p53 @p72) :args ((=> @t10 @t39))) % 0.51/0.77 (assume-push @p95 @t10) % 0.51/0.77 (step-pop @p96 :rule scope :premises (@p70)) % 0.51/0.77 (step @p75 :rule process_scope :premises (@p96) :args (@t39)) % 0.51/0.77 (step @p77 :rule eq_resolve :premises (@p75 @p73)) % 0.51/0.77 (step @p78 :rule implies_elim :premises (@p77)) % 0.51/0.77 (step @p79 :rule chain_m_resolution :premises (@p78 @p2) :args ((= @t22 @t38) @t35 @t36)) % 0.51/0.77 (step @p80 :rule trans :premises (@p79 @p71)) % 0.51/0.77 (step @p81 :rule cong :premises (@p80 @p25 @p18 @p24) :args (@t23)) % 0.51/0.77 (step @p82 :rule trans :premises (@p81 @p23)) % 0.51/0.77 (step @p83 :rule cong :premises (@p82 @p18) :args (@t25)) % 0.51/0.77 (step @p84 :rule trans :premises (@p83 @p17)) % 0.51/0.77 (step @p85 :rule eq_resolve :premises (@p84 @p15)) % 0.51/0.77 (step @p86 :rule false_elim :premises (@p85)) % 0.51/0.77 (assume-push @p97 @t40) % 0.51/0.77 (step @p88 :rule instantiate :premises (@p8) :args ((@list @t22 @t21 tptp.true))) % 0.51/0.77 (step-pop @p98 :rule scope :premises (@p88)) % 0.51/0.77 (step @p89 :rule process_scope :premises (@p98) :args (@t24)) % 0.51/0.77 (step @p91 :rule implies_elim :premises (@p89)) % 0.51/0.77 (step @p92 false :rule chain_m_resolution :premises (@p91 @p86 @p8) :args (false (@list true false) (@list @t24 @t40))) % 0.51/0.77 ) % 0.51/0.77 % SZS output end Proof % 0.51/0.77 % cvc5 exiting %------------------------------------------------------------------------------