%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL006-6 : TPTP v9.2.1. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n024.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 0.17s 0.36s % Output : Proof 0.17s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : COL006-6 : TPTP v9.2.1. Released v2.1.0. % 0.00/0.07 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.08/0.25 % Computer : n024.cluster.edu % 0.08/0.25 % Model : x86_64 x86_64 % 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.25 % Memory : 8042.1875MB % 0.08/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.08/0.25 % CPULimit : 300 % 0.08/0.25 % WCLimit : 300 % 0.08/0.25 % DateTime : Mon Jun 1 15:17:15 EDT 2026 % 0.08/0.25 % CPUTime : % 0.08/0.33 %----Proving TF0_NAR, FOF, or CNF % 0.08/0.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.17/0.36 % SZS status Unsatisfiable % 0.17/0.36 % SZS output start Proof % 0.17/0.36 ( % 0.17/0.36 (declare-sort $$unsorted 0) % 0.17/0.36 (declare-const tptp.fixed_pt $$unsorted) % 0.17/0.36 (declare-const tptp.strong_fixed_point $$unsorted) % 0.17/0.36 (declare-const tptp.k $$unsorted) % 0.17/0.36 (declare-const tptp.s $$unsorted) % 0.17/0.36 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.17/0.36 (define @t1 () (@var "Z" $$unsorted)) % 0.17/0.36 (define @t2 () (@var "Y" $$unsorted)) % 0.17/0.36 (define @t3 () (@var "X" $$unsorted)) % 0.17/0.36 (define @t4 () (tptp.apply (tptp.apply tptp.k @t3) @t2)) % 0.17/0.36 (define @t5 () (forall (@list @t3 @t2) (= @t4 @t3))) % 0.17/0.36 (define @t6 () (tptp.apply (tptp.apply tptp.s tptp.k) tptp.k)) % 0.17/0.36 (define @t7 () (tptp.apply (tptp.apply tptp.s @t6) @t6)) % 0.17/0.36 (define @t8 () (tptp.apply tptp.k @t7)) % 0.17/0.36 (define @t9 () (tptp.apply tptp.k tptp.s)) % 0.17/0.36 (define @t10 () (tptp.apply (tptp.apply tptp.s @t9) tptp.k)) % 0.17/0.36 (define @t11 () (tptp.apply (tptp.apply tptp.s @t10) @t8)) % 0.17/0.36 (define @t12 () (tptp.apply (tptp.apply tptp.s @t8) @t11)) % 0.17/0.36 (define @t13 () (= tptp.strong_fixed_point @t12)) % 0.17/0.36 (define @t14 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.17/0.36 (define @t15 () (= @t14 (tptp.apply tptp.fixed_pt @t14))) % 0.17/0.36 (define @t16 () (tptp.apply @t11 tptp.fixed_pt)) % 0.17/0.36 (define @t17 () (tptp.apply tptp.k @t16)) % 0.17/0.36 (define @t18 () (tptp.apply @t6 @t16)) % 0.17/0.36 (define @t19 () (tptp.apply @t8 tptp.fixed_pt)) % 0.17/0.36 (define @t20 () (tptp.apply tptp.k tptp.fixed_pt)) % 0.17/0.36 (define @t21 () (tptp.apply @t12 tptp.fixed_pt)) % 0.17/0.36 (define @t22 () (= @t21 (tptp.apply @t19 @t16))) % 0.17/0.36 (define @t23 () (tptp.apply @t10 tptp.fixed_pt)) % 0.17/0.36 (define @t24 () (tptp.apply @t23 @t19)) % 0.17/0.36 (define @t25 () (= @t16 @t24)) % 0.17/0.36 (define @t26 () (= @t7 @t19)) % 0.17/0.36 (define @t27 () (tptp.apply @t18 @t18)) % 0.17/0.36 (define @t28 () (tptp.apply @t7 @t16)) % 0.17/0.36 (define @t29 () (= @t28 @t27)) % 0.17/0.36 (define @t30 () (tptp.apply @t9 tptp.fixed_pt)) % 0.17/0.36 (define @t31 () (tptp.apply @t30 @t20)) % 0.17/0.36 (define @t32 () (= @t23 @t31)) % 0.17/0.36 (define @t33 () (tptp.apply @t17 @t17)) % 0.17/0.36 (define @t34 () (= @t18 @t33)) % 0.17/0.36 (define @t35 () (= tptp.s @t30)) % 0.17/0.36 (define @t36 () (= @t16 @t33)) % 0.17/0.36 (define @t37 () (tptp.apply @t19 @t18)) % 0.17/0.36 (define @t38 () (tptp.apply @t20 @t18)) % 0.17/0.36 (define @t39 () (tptp.apply @t38 @t37)) % 0.17/0.36 (define @t40 () (= (tptp.apply (tptp.apply (tptp.apply tptp.s @t20) @t19) @t18) @t39)) % 0.17/0.36 (define @t41 () (= tptp.fixed_pt @t38)) % 0.17/0.36 (define @t42 () (and @t13 @t22 @t25 @t26 @t29 @t32 @t34 @t35 @t36 @t40 @t41)) % 0.17/0.36 (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))))) % 0.17/0.36 (assume @p2 @t5) % 0.17/0.36 (assume @p3 @t13) % 0.17/0.36 (assume @p4 (not @t15)) % 0.17/0.36 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t8 @t11 tptp.fixed_pt))) % 0.17/0.36 (step @p6 :rule instantiate :premises (@p1) :args ((@list @t10 @t8 tptp.fixed_pt))) % 0.17/0.36 (step @p7 :rule eq-symm :args (@t4 @t3)) % 0.17/0.36 (step @p8 :rule cong :premises (@p7) :args (@t5)) % 0.17/0.36 (step @p9 :rule eq_resolve :premises (@p2 @p8)) % 0.17/0.36 (step @p10 :rule instantiate :premises (@p9) :args ((@list @t7 tptp.fixed_pt))) % 0.17/0.36 (step @p11 :rule instantiate :premises (@p1) :args ((@list @t6 @t6 @t16))) % 0.17/0.36 (step @p12 :rule instantiate :premises (@p1) :args ((@list @t9 tptp.k tptp.fixed_pt))) % 0.17/0.36 (step @p13 :rule instantiate :premises (@p1) :args ((@list tptp.k tptp.k @t16))) % 0.17/0.36 (step @p14 :rule instantiate :premises (@p9) :args ((@list tptp.s tptp.fixed_pt))) % 0.17/0.36 (step @p15 :rule instantiate :premises (@p9) :args ((@list @t16 @t17))) % 0.17/0.36 (step @p16 :rule instantiate :premises (@p1) :args ((@list @t20 @t19 @t18))) % 0.17/0.36 (step @p17 :rule instantiate :premises (@p9) :args ((@list tptp.fixed_pt @t18))) % 0.17/0.36 (assume-push @p75 @t13) % 0.17/0.36 (assume-push @p76 @t22) % 0.17/0.36 (assume-push @p77 @t25) % 0.17/0.36 (assume-push @p78 @t26) % 0.17/0.36 (assume-push @p79 @t29) % 0.17/0.36 (assume-push @p80 @t32) % 0.17/0.36 (assume-push @p81 @t34) % 0.17/0.36 (assume-push @p82 @t35) % 0.17/0.36 (assume-push @p83 @t36) % 0.17/0.36 (assume-push @p84 @t40) % 0.17/0.36 (assume-push @p85 @t41) % 0.17/0.36 (step @p29 :rule refl :args (tptp.fixed_pt)) % 0.17/0.36 (step @p30 :rule symm :premises (@p3)) % 0.17/0.36 (step @p31 :rule cong :premises (@p30 @p29) :args (@t21)) % 0.17/0.36 (step @p32 :rule symm :premises (@p5)) % 0.17/0.36 (step @p33 :rule refl :args (@t16)) % 0.17/0.36 (step @p34 :rule cong :premises (@p10 @p33) :args (@t28)) % 0.17/0.36 (step @p35 :rule symm :premises (@p11)) % 0.17/0.36 (step @p36 :rule trans :premises (@p35 @p34 @p32 @p31)) % 0.17/0.36 (step @p37 :rule symm :premises (@p17)) % 0.17/0.36 (step @p38 :rule cong :premises (@p37 @p36) :args ((tptp.apply @t38 @t27))) % 0.17/0.36 (step @p39 :rule symm :premises (@p15)) % 0.17/0.36 (step @p40 :rule trans :premises (@p13 @p39)) % 0.17/0.36 (step @p41 :rule symm :premises (@p10)) % 0.17/0.36 (step @p42 :rule cong :premises (@p41 @p40) :args (@t37)) % 0.17/0.36 (step @p43 :rule trans :premises (@p42 @p11)) % 0.17/0.36 (step @p44 :rule refl :args (@t38)) % 0.17/0.36 (step @p45 :rule cong :premises (@p44 @p43) :args (@t39)) % 0.17/0.36 (step @p46 :rule refl :args (@t18)) % 0.17/0.36 (step @p47 :rule refl :args (@t19)) % 0.17/0.36 (step @p48 :rule refl :args (@t20)) % 0.17/0.36 (step @p49 :rule symm :premises (@p14)) % 0.17/0.36 (step @p50 :rule cong :premises (@p49 @p48) :args (@t31)) % 0.17/0.36 (step @p51 :rule trans :premises (@p12 @p50)) % 0.17/0.36 (step @p52 :rule cong :premises (@p51 @p47) :args (@t24)) % 0.17/0.36 (step @p53 :rule trans :premises (@p13 @p39 @p6 @p52)) % 0.17/0.36 (step @p54 :rule cong :premises (@p53 @p46) :args (@t27)) % 0.17/0.36 (step @p55 :rule symm :premises (@p34)) % 0.17/0.36 (step @p56 :rule symm :premises (@p31)) % 0.17/0.36 (step @p57 :rule trans :premises (@p56 @p5 @p55 @p11 @p54 @p16 @p45 @p38)) % 0.17/0.36 (step-pop @p86 :rule scope :premises (@p57)) % 0.17/0.36 (step-pop @p87 :rule scope :premises (@p86)) % 0.17/0.36 (step-pop @p88 :rule scope :premises (@p87)) % 0.17/0.36 (step-pop @p89 :rule scope :premises (@p88)) % 0.17/0.36 (step-pop @p90 :rule scope :premises (@p89)) % 0.17/0.36 (step-pop @p91 :rule scope :premises (@p90)) % 0.17/0.36 (step-pop @p92 :rule scope :premises (@p91)) % 0.17/0.36 (step-pop @p93 :rule scope :premises (@p92)) % 0.17/0.36 (step-pop @p94 :rule scope :premises (@p93)) % 0.17/0.36 (step-pop @p95 :rule scope :premises (@p94)) % 0.17/0.36 (step-pop @p96 :rule scope :premises (@p95)) % 0.17/0.36 (step @p58 :rule process_scope :premises (@p96) :args (@t15)) % 0.17/0.36 (step @p70 :rule implies_elim :premises (@p58)) % 0.17/0.36 (step @p71 :rule cnf_and_neg :args (@t42)) % 0.17/0.36 (step @p72 :rule resolution :premises (@p71 @p70) :args (true @t42)) % 0.17/0.36 (step @p73 :rule reordering :premises (@p72) :args ((or @t15 (not @t13) (not @t22) (not @t25) (not @t26) (not @t29) (not @t32) (not @t34) (not @t35) (not @t36) (not @t40) (not @t41)))) % 0.17/0.36 (step @p74 false :rule chain_m_resolution :premises (@p73 @p17 @p16 @p15 @p14 @p13 @p12 @p11 @p10 @p6 @p5 @p4 @p3) :args (false (@list false false false false false false false false false false true false) (@list @t41 @t40 @t36 @t35 @t34 @t32 @t29 @t26 @t25 @t22 @t15 @t13))) % 0.17/0.36 ) % 0.17/0.36 % SZS output end Proof % 0.17/0.36 % cvc5 exiting %------------------------------------------------------------------------------