%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : COL003-12 : TPTP v9.2.1. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 0.38s 0.59s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : COL003-12 : TPTP v9.2.1. Released v2.1.0. % 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 : n019.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 : % 0.31/0.49 %----Proving TF0_NAR, FOF, or CNF % 0.31/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.38/0.59 % SZS status Unsatisfiable % 0.38/0.59 % SZS output start Proof % 0.38/0.59 ( % 0.38/0.59 (declare-sort $$unsorted 0) % 0.38/0.59 (declare-const tptp.strong_fixed_point $$unsorted) % 0.38/0.59 (declare-const tptp.w $$unsorted) % 0.38/0.59 (declare-const tptp.fixed_pt $$unsorted) % 0.38/0.59 (declare-const tptp.b $$unsorted) % 0.38/0.59 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 0.38/0.59 (define @t1 () (@var "Z" $$unsorted)) % 0.38/0.59 (define @t2 () (@var "Y" $$unsorted)) % 0.38/0.59 (define @t3 () (@var "X" $$unsorted)) % 0.38/0.59 (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))))) % 0.38/0.59 (define @t5 () (tptp.apply (tptp.apply tptp.b tptp.b) tptp.b)) % 0.38/0.59 (define @t6 () (tptp.apply tptp.b tptp.w)) % 0.38/0.59 (define @t7 () (tptp.apply @t6 @t5)) % 0.38/0.59 (define @t8 () (tptp.apply tptp.w tptp.w)) % 0.38/0.59 (define @t9 () (tptp.apply (tptp.apply tptp.b @t8) @t7)) % 0.38/0.59 (define @t10 () (= tptp.strong_fixed_point @t9)) % 0.38/0.59 (define @t11 () (tptp.apply tptp.strong_fixed_point tptp.fixed_pt)) % 0.38/0.59 (define @t12 () (= @t11 (tptp.apply tptp.fixed_pt @t11))) % 0.38/0.59 (define @t13 () (tptp.apply @t7 tptp.fixed_pt)) % 0.38/0.59 (define @t14 () (tptp.apply @t13 @t13)) % 0.38/0.59 (define @t15 () (tptp.apply tptp.b tptp.fixed_pt)) % 0.38/0.59 (define @t16 () (tptp.apply @t5 tptp.fixed_pt)) % 0.38/0.59 (define @t17 () (tptp.apply tptp.b @t15)) % 0.38/0.59 (define @t18 () (tptp.apply (tptp.apply @t17 @t13) @t13)) % 0.38/0.59 (define @t19 () (tptp.apply @t15 @t14)) % 0.38/0.59 (define @t20 () (= @t18 @t19)) % 0.38/0.59 (define @t21 () (@list @t15 @t13 @t13)) % 0.38/0.59 (define @t22 () (= @t19 @t18)) % 0.38/0.59 (define @t23 () (tptp.apply @t8 @t13)) % 0.38/0.59 (define @t24 () (tptp.apply @t9 tptp.fixed_pt)) % 0.38/0.59 (define @t25 () (= @t24 @t23)) % 0.38/0.59 (define @t26 () (tptp.apply tptp.w @t16)) % 0.38/0.59 (define @t27 () (= @t13 @t26)) % 0.38/0.59 (define @t28 () (tptp.apply (tptp.apply tptp.w @t13) @t13)) % 0.38/0.59 (define @t29 () (= @t23 @t28)) % 0.38/0.59 (define @t30 () (= @t16 @t17)) % 0.38/0.59 (define @t31 () (tptp.apply @t14 @t13)) % 0.38/0.59 (define @t32 () (= @t28 @t31)) % 0.38/0.59 (define @t33 () (tptp.apply tptp.fixed_pt @t31)) % 0.38/0.59 (define @t34 () (= (tptp.apply @t19 @t13) @t33)) % 0.38/0.59 (define @t35 () (tptp.apply tptp.w @t17)) % 0.38/0.59 (define @t36 () (tptp.apply (tptp.apply @t6 tptp.b) @t15)) % 0.38/0.59 (define @t37 () (= @t36 @t35)) % 0.38/0.59 (define @t38 () (tptp.apply @t16 @t13)) % 0.38/0.59 (define @t39 () (tptp.apply @t38 @t13)) % 0.38/0.59 (define @t40 () (= (tptp.apply @t26 @t13) @t39)) % 0.38/0.59 (define @t41 () (and @t10 @t25 @t27 @t29 @t30 @t32 @t34 @t37 @t40 @t22)) % 0.38/0.59 (assume @p1 @t4) % 0.38/0.59 (assume @p2 (forall (@list @t3 @t2) (= (tptp.apply (tptp.apply tptp.w @t3) @t2) (tptp.apply (tptp.apply @t3 @t2) @t2)))) % 0.38/0.59 (assume @p3 @t10) % 0.38/0.59 (assume @p4 (not @t12)) % 0.38/0.59 (step @p5 :rule instantiate :premises (@p1) :args ((@list @t8 @t7 tptp.fixed_pt))) % 0.38/0.59 (step @p6 :rule instantiate :premises (@p1) :args ((@list tptp.w @t5 tptp.fixed_pt))) % 0.38/0.59 (step @p7 :rule instantiate :premises (@p2) :args ((@list tptp.w @t13))) % 0.38/0.59 (step @p8 :rule instantiate :premises (@p1) :args ((@list tptp.b tptp.b tptp.fixed_pt))) % 0.38/0.59 (step @p9 :rule instantiate :premises (@p2) :args ((@list @t13 @t13))) % 0.38/0.59 (step @p10 :rule instantiate :premises (@p1) :args ((@list tptp.fixed_pt @t14 @t13))) % 0.38/0.59 (step @p11 :rule instantiate :premises (@p1) :args ((@list tptp.w tptp.b @t15))) % 0.38/0.59 (step @p12 :rule instantiate :premises (@p2) :args ((@list @t16 @t13))) % 0.38/0.59 (step @p13 :rule eq-symm :args (@t18 @t19)) % 0.38/0.59 (step @p14 :rule refl :args (@t4)) % 0.38/0.59 (step @p15 :rule cong :premises (@p14 @p13) :args ((=> @t4 @t20))) % 0.38/0.59 (assume-push @p75 @t4) % 0.38/0.59 (step @p17 :rule instantiate :premises (@p1) :args (@t21)) % 0.38/0.59 (step-pop @p76 :rule scope :premises (@p17)) % 0.38/0.59 (step @p18 :rule process_scope :premises (@p76) :args (@t20)) % 0.38/0.59 (step @p20 :rule eq_resolve :premises (@p18 @p15)) % 0.38/0.59 (step @p21 :rule implies_elim :premises (@p20)) % 0.38/0.59 (step @p22 :rule chain_m_resolution :premises (@p21 @p1) :args (@t22 (@list false) (@list @t4))) % 0.38/0.59 (assume-push @p77 @t10) % 0.38/0.59 (assume-push @p78 @t25) % 0.38/0.59 (assume-push @p79 @t27) % 0.38/0.59 (assume-push @p80 @t29) % 0.38/0.59 (assume-push @p81 @t30) % 0.38/0.59 (assume-push @p82 @t32) % 0.38/0.59 (assume-push @p83 @t34) % 0.38/0.59 (assume-push @p84 @t37) % 0.38/0.59 (assume-push @p85 @t40) % 0.38/0.59 (assume-push @p86 @t22) % 0.38/0.59 (step @p33 :rule refl :args (tptp.fixed_pt)) % 0.38/0.59 (step @p34 :rule symm :premises (@p3)) % 0.38/0.59 (step @p35 :rule cong :premises (@p34 @p33) :args (@t24)) % 0.38/0.59 (step @p36 :rule symm :premises (@p5)) % 0.38/0.59 (step @p37 :rule trans :premises (@p36 @p35)) % 0.38/0.59 (step @p38 :rule cong :premises (@p33 @p37) :args ((tptp.apply tptp.fixed_pt @t23))) % 0.38/0.59 (step @p39 :rule symm :premises (@p7)) % 0.38/0.59 (step @p40 :rule symm :premises (@p9)) % 0.38/0.59 (step @p41 :rule trans :premises (@p40 @p39)) % 0.38/0.59 (step @p42 :rule cong :premises (@p33 @p41) :args (@t33)) % 0.38/0.59 (step @p43 :rule symm :premises (@p6)) % 0.38/0.59 (step @p44 :rule symm :premises (@p8)) % 0.38/0.59 (step @p45 :rule refl :args (tptp.w)) % 0.38/0.59 (step @p46 :rule cong :premises (@p45 @p44) :args (@t35)) % 0.38/0.59 (step @p47 :rule trans :premises (@p11 @p46 @p43)) % 0.38/0.59 (step @p17 :rule instantiate :premises (@p1) :args (@t21)) % 0.38/0.59 (step @p48 :rule refl :args (@t13)) % 0.38/0.59 (step @p49 :rule cong :premises (@p8 @p48) :args (@t38)) % 0.38/0.59 (step @p50 :rule cong :premises (@p49 @p48) :args (@t39)) % 0.38/0.59 (step @p51 :rule cong :premises (@p6 @p48) :args (@t14)) % 0.38/0.59 (step @p52 :rule trans :premises (@p51 @p12 @p50 @p17)) % 0.38/0.59 (step @p53 :rule cong :premises (@p52 @p47) :args ((tptp.apply @t14 @t36))) % 0.38/0.59 (step @p54 :rule symm :premises (@p47)) % 0.38/0.59 (step @p55 :rule refl :args (@t14)) % 0.38/0.59 (step @p56 :rule cong :premises (@p55 @p54) :args (@t31)) % 0.38/0.59 (step @p57 :rule symm :premises (@p35)) % 0.38/0.59 (step @p58 :rule trans :premises (@p57 @p5 @p7 @p9 @p56 @p53 @p10 @p42 @p38)) % 0.38/0.59 (step-pop @p87 :rule scope :premises (@p58)) % 0.38/0.59 (step-pop @p88 :rule scope :premises (@p87)) % 0.38/0.59 (step-pop @p89 :rule scope :premises (@p88)) % 0.38/0.59 (step-pop @p90 :rule scope :premises (@p89)) % 0.38/0.59 (step-pop @p91 :rule scope :premises (@p90)) % 0.38/0.59 (step-pop @p92 :rule scope :premises (@p91)) % 0.38/0.59 (step-pop @p93 :rule scope :premises (@p92)) % 0.38/0.59 (step-pop @p94 :rule scope :premises (@p93)) % 0.38/0.59 (step-pop @p95 :rule scope :premises (@p94)) % 0.38/0.59 (step-pop @p96 :rule scope :premises (@p95)) % 0.38/0.59 (step @p59 :rule process_scope :premises (@p96) :args (@t12)) % 0.38/0.59 (step @p70 :rule implies_elim :premises (@p59)) % 0.38/0.59 (step @p71 :rule cnf_and_neg :args (@t41)) % 0.38/0.59 (step @p72 :rule resolution :premises (@p71 @p70) :args (true @t41)) % 0.38/0.59 (step @p73 :rule reordering :premises (@p72) :args ((or @t12 (not @t10) (not @t25) (not @t27) (not @t29) (not @t30) (not @t32) (not @t34) (not @t37) (not @t40) (not @t22)))) % 0.38/0.59 (step @p74 false :rule chain_m_resolution :premises (@p73 @p22 @p12 @p11 @p10 @p9 @p8 @p7 @p6 @p5 @p4 @p3) :args (false (@list false false false false false false false false false true false) (@list @t22 @t40 @t37 @t34 @t32 @t30 @t29 @t27 @t25 @t12 @t10))) % 0.38/0.59 ) % 0.38/0.60 % SZS output end Proof % 0.38/0.60 % cvc5 exiting %------------------------------------------------------------------------------