%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL006-3 : TPTP v9.2.1. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n011.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 08:09:45 AM UTC 2026 % Result : Unsatisfiable 0.36s 0.55s % Output : Proof 0.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL006-3 : TPTP v9.2.1. Released v1.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n011.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Mon Jun 1 20:16:49 EDT 2026 % 0.17/0.34 % 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... % 0.36/0.55 % SZS status Unsatisfiable % 0.36/0.55 % SZS output start Proof % 0.36/0.56 ( % 0.36/0.56 (declare-sort $$unsorted 0) % 0.36/0.56 (declare-const tptp.fixed_pt $$unsorted) % 0.36/0.56 (declare-const tptp.fixed_point (-> $$unsorted Bool)) % 0.36/0.56 (declare-const tptp.k $$unsorted) % 0.36/0.56 (declare-const tptp.s $$unsorted) % 0.36/0.56 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.36/0.56 (define @t1 () (@var "Z" $$unsorted)) % 0.36/0.56 (define @t2 () (@var "Y" $$unsorted)) % 0.36/0.56 (define @t3 () (@var "X" $$unsorted)) % 0.36/0.56 (define @t4 () (tptp.apply (tptp.apply tptp.k @t3) @t2)) % 0.36/0.56 (define @t5 () (forall (@list @t3 @t2) (= @t4 @t3))) % 0.36/0.56 (define @t6 () (@var "Strong_fixed_point" $$unsorted)) % 0.36/0.56 (define @t7 () (tptp.apply @t6 tptp.fixed_pt)) % 0.36/0.56 (define @t8 () (tptp.apply (tptp.apply tptp.s tptp.k) tptp.k)) % 0.36/0.56 (define @t9 () (tptp.apply (tptp.apply tptp.s @t8) @t8)) % 0.36/0.56 (define @t10 () (tptp.apply tptp.k @t9)) % 0.36/0.56 (define @t11 () (tptp.apply tptp.k tptp.s)) % 0.36/0.56 (define @t12 () (tptp.apply (tptp.apply tptp.s @t11) tptp.k)) % 0.36/0.56 (define @t13 () (tptp.apply (tptp.apply tptp.s @t12) @t10)) % 0.36/0.56 (define @t14 () (tptp.apply (tptp.apply tptp.s @t10) @t13)) % 0.36/0.56 (define @t15 () (tptp.fixed_point @t14)) % 0.36/0.56 (define @t16 () (tptp.apply @t14 tptp.fixed_pt)) % 0.36/0.56 (define @t17 () (= @t16 (tptp.apply tptp.fixed_pt @t16))) % 0.36/0.56 (define @t18 () (not @t17)) % 0.36/0.56 (define @t19 () (or @t18 @t15)) % 0.36/0.56 (define @t20 () (tptp.apply @t13 tptp.fixed_pt)) % 0.36/0.56 (define @t21 () (tptp.apply tptp.k @t20)) % 0.36/0.56 (define @t22 () (tptp.apply @t8 @t20)) % 0.36/0.56 (define @t23 () (tptp.apply @t10 tptp.fixed_pt)) % 0.36/0.56 (define @t24 () (tptp.apply tptp.k tptp.fixed_pt)) % 0.36/0.56 (define @t25 () (= @t16 (tptp.apply @t23 @t20))) % 0.36/0.56 (define @t26 () (tptp.apply @t12 tptp.fixed_pt)) % 0.36/0.56 (define @t27 () (tptp.apply @t26 @t23)) % 0.36/0.56 (define @t28 () (= @t20 @t27)) % 0.36/0.56 (define @t29 () (= @t9 @t23)) % 0.36/0.56 (define @t30 () (tptp.apply @t22 @t22)) % 0.36/0.56 (define @t31 () (tptp.apply @t9 @t20)) % 0.36/0.56 (define @t32 () (= @t31 @t30)) % 0.36/0.56 (define @t33 () (tptp.apply @t11 tptp.fixed_pt)) % 0.36/0.56 (define @t34 () (tptp.apply @t33 @t24)) % 0.36/0.56 (define @t35 () (= @t26 @t34)) % 0.36/0.56 (define @t36 () (tptp.apply @t21 @t21)) % 0.36/0.56 (define @t37 () (= @t22 @t36)) % 0.36/0.56 (define @t38 () (= tptp.s @t33)) % 0.36/0.56 (define @t39 () (= @t20 @t36)) % 0.36/0.56 (define @t40 () (tptp.apply @t23 @t22)) % 0.36/0.56 (define @t41 () (tptp.apply @t24 @t22)) % 0.36/0.56 (define @t42 () (tptp.apply @t41 @t40)) % 0.36/0.56 (define @t43 () (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t24) @t23) @t22) @t42)) % 0.36/0.56 (define @t44 () (= tptp.fixed_pt @t41)) % 0.36/0.56 (define @t45 () (and @t25 @t28 @t29 @t32 @t35 @t37 @t38 @t39 @t43 @t44)) % 0.36/0.56 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t3) @t2) @t1) (tptp.apply (tptp.apply @t3 @t1) (tptp.apply @t2 @t1))))) % 0.36/0.56 (assume @p2 @t5) % 0.36/0.56 (assume @p3 (forall (@list @t6) (or (not (= @t7 (tptp.apply tptp.fixed_pt @t7))) (tptp.fixed_point @t6)))) % 0.36/0.56 (assume @p4 (not @t15)) % 0.36/0.56 (step @p5 :rule instantiate :premises (@p3) :args ((@list @t14))) % 0.36/0.56 (step @p6 :rule cnf_or_pos :args (@t19)) % 0.36/0.56 (step @p7 :rule reordering :premises (@p6) :args ((or @t15 @t18 (not @t19)))) % 0.36/0.56 (step @p8 :rule chain_m_resolution :premises (@p7 @p4 @p5) :args (@t18 (@list true false) (@list @t15 @t19))) % 0.36/0.56 (step @p9 :rule instantiate :premises (@p1) :args ((@list @t10 @t13 tptp.fixed_pt))) % 0.36/0.56 (step @p10 :rule instantiate :premises (@p1) :args ((@list @t12 @t10 tptp.fixed_pt))) % 0.36/0.56 (step @p11 :rule eq-symm :args (@t4 @t3)) % 0.36/0.56 (step @p12 :rule cong :premises (@p11) :args (@t5)) % 0.36/0.56 (step @p13 :rule eq_resolve :premises (@p2 @p12)) % 0.36/0.56 (step @p14 :rule instantiate :premises (@p13) :args ((@list @t9 tptp.fixed_pt))) % 0.36/0.56 (step @p15 :rule instantiate :premises (@p1) :args ((@list @t8 @t8 @t20))) % 0.36/0.56 (step @p16 :rule instantiate :premises (@p1) :args ((@list @t11 tptp.k tptp.fixed_pt))) % 0.36/0.56 (step @p17 :rule instantiate :premises (@p1) :args ((@list tptp.k tptp.k @t20))) % 0.36/0.56 (step @p18 :rule instantiate :premises (@p13) :args ((@list tptp.s tptp.fixed_pt))) % 0.36/0.56 (step @p19 :rule instantiate :premises (@p13) :args ((@list @t20 @t21))) % 0.36/0.56 (step @p20 :rule instantiate :premises (@p1) :args ((@list @t24 @t23 @t22))) % 0.36/0.56 (step @p21 :rule instantiate :premises (@p13) :args ((@list tptp.fixed_pt @t22))) % 0.36/0.56 (assume-push @p73 @t25) % 0.36/0.56 (assume-push @p74 @t28) % 0.36/0.56 (assume-push @p75 @t29) % 0.36/0.56 (assume-push @p76 @t32) % 0.36/0.56 (assume-push @p77 @t35) % 0.36/0.56 (assume-push @p78 @t37) % 0.36/0.56 (assume-push @p79 @t38) % 0.36/0.56 (assume-push @p80 @t39) % 0.36/0.56 (assume-push @p81 @t43) % 0.36/0.56 (assume-push @p82 @t44) % 0.36/0.56 (step @p32 :rule symm :premises (@p9)) % 0.36/0.56 (step @p33 :rule refl :args (@t20)) % 0.36/0.56 (step @p34 :rule cong :premises (@p14 @p33) :args (@t31)) % 0.36/0.56 (step @p35 :rule symm :premises (@p15)) % 0.36/0.56 (step @p36 :rule trans :premises (@p35 @p34 @p32)) % 0.36/0.56 (step @p37 :rule symm :premises (@p21)) % 0.36/0.56 (step @p38 :rule cong :premises (@p37 @p36) :args ((tptp.apply @t41 @t30))) % 0.36/0.56 (step @p39 :rule symm :premises (@p19)) % 0.36/0.56 (step @p40 :rule trans :premises (@p17 @p39)) % 0.36/0.56 (step @p41 :rule symm :premises (@p14)) % 0.36/0.56 (step @p42 :rule cong :premises (@p41 @p40) :args (@t40)) % 0.36/0.56 (step @p43 :rule trans :premises (@p42 @p15)) % 0.36/0.56 (step @p44 :rule refl :args (@t41)) % 0.36/0.56 (step @p45 :rule cong :premises (@p44 @p43) :args (@t42)) % 0.36/0.56 (step @p46 :rule refl :args (@t22)) % 0.36/0.56 (step @p47 :rule refl :args (@t23)) % 0.36/0.56 (step @p48 :rule refl :args (@t24)) % 0.36/0.56 (step @p49 :rule symm :premises (@p18)) % 0.36/0.56 (step @p50 :rule cong :premises (@p49 @p48) :args (@t34)) % 0.36/0.56 (step @p51 :rule trans :premises (@p16 @p50)) % 0.36/0.56 (step @p52 :rule cong :premises (@p51 @p47) :args (@t27)) % 0.36/0.56 (step @p53 :rule trans :premises (@p17 @p39 @p10 @p52)) % 0.36/0.56 (step @p54 :rule cong :premises (@p53 @p46) :args (@t30)) % 0.36/0.56 (step @p55 :rule symm :premises (@p34)) % 0.36/0.56 (step @p56 :rule trans :premises (@p9 @p55 @p15 @p54 @p20 @p45 @p38)) % 0.36/0.56 (step-pop @p83 :rule scope :premises (@p56)) % 0.36/0.56 (step-pop @p84 :rule scope :premises (@p83)) % 0.36/0.56 (step-pop @p85 :rule scope :premises (@p84)) % 0.36/0.56 (step-pop @p86 :rule scope :premises (@p85)) % 0.36/0.56 (step-pop @p87 :rule scope :premises (@p86)) % 0.36/0.56 (step-pop @p88 :rule scope :premises (@p87)) % 0.36/0.56 (step-pop @p89 :rule scope :premises (@p88)) % 0.36/0.56 (step-pop @p90 :rule scope :premises (@p89)) % 0.36/0.56 (step-pop @p91 :rule scope :premises (@p90)) % 0.36/0.56 (step-pop @p92 :rule scope :premises (@p91)) % 0.36/0.56 (step @p57 :rule process_scope :premises (@p92) :args (@t17)) % 0.36/0.56 (step @p68 :rule implies_elim :premises (@p57)) % 0.36/0.56 (step @p69 :rule cnf_and_neg :args (@t45)) % 0.36/0.56 (step @p70 :rule resolution :premises (@p69 @p68) :args (true @t45)) % 0.36/0.56 (step @p71 :rule reordering :premises (@p70) :args ((or @t17 (not @t25) (not @t28) (not @t29) (not @t32) (not @t35) (not @t37) (not @t38) (not @t39) (not @t43) (not @t44)))) % 0.36/0.56 (step @p72 false :rule chain_m_resolution :premises (@p71 @p21 @p20 @p19 @p18 @p17 @p16 @p15 @p14 @p10 @p9 @p8) :args (false (@list false false false false false false false false false false true) (@list @t44 @t43 @t39 @t38 @t37 @t35 @t32 @t29 @t28 @t25 @t17))) % 0.36/0.56 ) % 0.36/0.56 % SZS output end Proof % 0.36/0.56 % cvc5 exiting %------------------------------------------------------------------------------