%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT016_1 : TPTP v9.2.1. Bugfixed v5.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n015.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 08:14:21 AM UTC 2026 % Result : Theorem 105.47s 105.78s % Output : Proof 105.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : DAT016_1 : TPTP v9.2.1. Bugfixed v5.1.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.14/0.33 % Computer : n015.cluster.edu % 0.14/0.33 % Model : x86_64 x86_64 % 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.33 % Memory : 8042.1875MB % 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.33 % CPULimit : 300 % 0.14/0.33 % WCLimit : 300 % 0.14/0.33 % DateTime : Mon Jun 1 22:25:49 EDT 2026 % 0.14/0.34 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 105.47/105.78 --- Run --finite-model-find --decision=internal at 45... % 105.47/105.78 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 105.47/105.78 --- Run --no-e-matching --full-saturate-quant at 45... % 105.47/105.78 --- Run --cegqi-all --purify-triggers --full-saturate-quant at 45... % 105.47/105.78 % SZS status Theorem % 105.47/105.78 % SZS output start Proof % 105.47/105.78 ( % 105.47/105.78 (declare-sort tptp.array 0) % 105.47/105.78 (declare-const tptp.read (-> tptp.array Int Int)) % 105.47/105.78 (declare-const tptp.write (-> tptp.array Int Int tptp.array)) % 105.47/105.78 (define @t1 () (@var "W" Int)) % 105.47/105.78 (define @t2 () (@var "V" Int)) % 105.47/105.78 (define @t3 () (@var "U" tptp.array)) % 105.47/105.78 (define @t4 () (@var "Z" Int)) % 105.47/105.78 (define @t5 () (@var "X" tptp.array)) % 105.47/105.78 (define @t6 () (@var "X1" Int)) % 105.47/105.78 (define @t7 () (@var "Y" Int)) % 105.47/105.78 (define @t8 () (= (tptp.read @t3 @t1) 53)) % 105.47/105.78 (define @t9 () (@list @t1)) % 105.47/105.78 (define @t10 () (exists @t9 @t8)) % 105.47/105.78 (define @t11 () (* 2 @t2)) % 105.47/105.78 (define @t12 () (+ @t11 3)) % 105.47/105.78 (define @t13 () (tptp.read @t3 @t2)) % 105.47/105.78 (define @t14 () (= @t13 @t12)) % 105.47/105.78 (define @t15 () (and (<= 20 @t2) (<= @t2 30))) % 105.47/105.78 (define @t16 () (=> @t15 @t14)) % 105.47/105.78 (define @t17 () (@list @t2)) % 105.47/105.78 (define @t18 () (forall @t17 @t16)) % 105.47/105.78 (define @t19 () (=> @t18 @t10)) % 105.47/105.78 (define @t20 () (@list @t3)) % 105.47/105.78 (define @t21 () (forall @t20 @t19)) % 105.47/105.78 (define @t22 () (not @t21)) % 105.47/105.78 (define @t23 () (+ 3 @t11)) % 105.47/105.78 (define @t24 () (= @t13 @t23)) % 105.47/105.78 (define @t25 () (>= @t2 31)) % 105.47/105.78 (define @t26 () (>= @t2 20)) % 105.47/105.78 (define @t27 () (not @t26)) % 105.47/105.78 (define @t28 () (or @t27 @t25 @t24)) % 105.47/105.78 (define @t29 () (forall @t17 @t28)) % 105.47/105.78 (define @t30 () (not (forall @t9 (not @t8)))) % 105.47/105.78 (define @t31 () (not @t25)) % 105.47/105.78 (define @t32 () (and @t26 @t31)) % 105.47/105.78 (define @t33 () (+ 30 1)) % 105.47/105.78 (define @t34 () (>= @t2 @t33)) % 105.47/105.78 (define @t35 () (@quantifiers_skolemize (forall @t20 (or (not @t29) @t30)) 0)) % 105.47/105.78 (define @t36 () (forall @t9 (not (= (tptp.read @t35 @t1) 53)))) % 105.47/105.78 (define @t37 () (not @t36)) % 105.47/105.78 (define @t38 () (forall @t17 (or @t27 @t25 (= (tptp.read @t35 @t2) @t23)))) % 105.47/105.78 (define @t39 () (not @t38)) % 105.47/105.78 (define @t40 () (or @t39 @t37)) % 105.47/105.78 (define @t41 () (@list true)) % 105.47/105.78 (define @t42 () (@list @t40)) % 105.47/105.78 (define @t43 () (tptp.read @t35 25)) % 105.47/105.78 (define @t44 () (= @t43 53)) % 105.47/105.78 (define @t45 () (* 2 25)) % 105.47/105.78 (define @t46 () (+ 3 @t45)) % 105.47/105.78 (define @t47 () (= @t43 @t46)) % 105.47/105.78 (define @t48 () (>= 25 31)) % 105.47/105.78 (define @t49 () (>= 25 20)) % 105.47/105.78 (define @t50 () (not @t49)) % 105.47/105.78 (define @t51 () (or @t50 @t48 @t47)) % 105.47/105.78 (define @t52 () (@list 25)) % 105.47/105.78 (assume @p1 (forall (@list @t3 @t2 @t1) (= (tptp.read (tptp.write @t3 @t2 @t1) @t2) @t1))) % 105.47/105.78 (assume @p2 (forall (@list @t5 @t7 @t4 @t6) (or (= @t7 @t4) (= (tptp.read (tptp.write @t5 @t7 @t6) @t4) (tptp.read @t5 @t4))))) % 105.47/105.78 (assume @p3 @t22) % 105.47/105.78 (assume @p4 true) % 105.47/105.78 (step @p5 :rule bool-impl-elim :args (@t29 @t30)) % 105.47/105.78 (step @p6 :rule cong :premises (@p5) :args ((forall @t20 (=> @t29 @t30)))) % 105.47/105.78 (step @p7 :rule exists-elim :args ((= @t10 @t30))) % 105.47/105.78 (step @p8 :rule aci_norm :args ((= (or (or @t27 @t25) @t24) @t28))) % 105.47/105.78 (step @p9 :rule refl :args (@t24)) % 105.47/105.78 (step @p10 :rule bool-double-not-elim :args (@t25)) % 105.47/105.78 (step @p11 :rule refl :args (@t27)) % 105.47/105.78 (step @p12 :rule nary_cong :premises (@p11 @p10) :args ((or @t27 (not @t31)))) % 105.47/105.78 (step @p13 :rule bool-and-de-morgan :args (@t26 @t31 true)) % 105.47/105.78 (step @p14 :rule trans :premises (@p13 @p12)) % 105.47/105.78 (step @p15 :rule nary_cong :premises (@p14 @p9) :args ((or (not @t32) @t24))) % 105.47/105.78 (step @p16 :rule trans :premises (@p15 @p8)) % 105.47/105.78 (step @p17 :rule bool-impl-elim :args (@t32 @t24)) % 105.47/105.78 (step @p18 :rule trans :premises (@p17 @p16)) % 105.47/105.78 (step @p19 :rule cong :premises (@p18) :args ((forall @t17 (=> @t32 @t24)))) % 105.47/105.78 (step @p20 :rule arith_poly_norm :args ((= @t12 @t23))) % 105.47/105.78 (step @p21 :rule refl :args (@t13)) % 105.47/105.78 (step @p22 :rule cong :premises (@p21 @p20) :args (@t14)) % 105.47/105.78 (step @p23 :rule evaluate :args (@t33)) % 105.47/105.78 (step @p24 :rule refl :args (@t2)) % 105.47/105.78 (step @p25 :rule cong :premises (@p24 @p23) :args (@t34)) % 105.47/105.78 (step @p26 :rule cong :premises (@p25) :args ((not @t34))) % 105.47/105.78 (step @p27 :rule arith-leq-norm :args (@t2 30)) % 105.47/105.78 (step @p28 :rule trans :premises (@p27 @p26)) % 105.47/105.78 (step @p29 :rule arith-elim-leq :args (20 @t2)) % 105.47/105.78 (step @p30 :rule nary_cong :premises (@p29 @p28) :args (@t15)) % 105.47/105.78 (step @p31 :rule cong :premises (@p30 @p22) :args (@t16)) % 105.47/105.78 (step @p32 :rule cong :premises (@p31) :args (@t18)) % 105.47/105.78 (step @p33 :rule trans :premises (@p32 @p19)) % 105.47/105.78 (step @p34 :rule cong :premises (@p33 @p7) :args (@t19)) % 105.47/105.78 (step @p35 :rule cong :premises (@p34) :args (@t21)) % 105.47/105.78 (step @p36 :rule trans :premises (@p35 @p6)) % 105.47/105.78 (step @p37 :rule cong :premises (@p36) :args (@t22)) % 105.47/105.78 (step @p38 :rule eq_resolve :premises (@p3 @p37)) % 105.47/105.78 (step @p39 :rule skolemize :premises (@p38)) % 105.47/105.78 (step @p40 :rule bool-double-not-elim :args (@t36)) % 105.47/105.78 (step @p41 :rule refl :args (@t40)) % 105.47/105.78 (step @p42 :rule nary_cong :premises (@p41 @p40) :args ((or @t40 (not @t37)))) % 105.47/105.78 (step @p43 :rule cnf_or_neg :args (@t40 1)) % 105.47/105.78 (step @p44 :rule eq_resolve :premises (@p43 @p42)) % 105.47/105.78 (step @p45 :rule reordering :premises (@p44) :args ((or @t36 @t40))) % 105.47/105.78 (step @p46 :rule chain_m_resolution :premises (@p45 @p39) :args (@t36 @t41 @t42)) % 105.47/105.78 (step @p47 :rule bool-double-not-elim :args (@t38)) % 105.47/105.78 (step @p48 :rule nary_cong :premises (@p41 @p47) :args ((or @t40 (not @t39)))) % 105.47/105.78 (step @p49 :rule cnf_or_neg :args (@t40 0)) % 105.47/105.78 (step @p50 :rule eq_resolve :premises (@p49 @p48)) % 105.47/105.78 (step @p51 :rule reordering :premises (@p50) :args ((or @t38 @t40))) % 105.47/105.78 (step @p52 :rule chain_m_resolution :premises (@p51 @p39) :args (@t38 @t41 @t42)) % 105.47/105.78 (step @p53 :rule aci_norm :args ((= (or false false @t44) @t44))) % 105.47/105.78 (step @p54 :rule evaluate :args ((+ 3 50))) % 105.47/105.78 (step @p55 :rule evaluate :args (@t45)) % 105.47/105.78 (step @p56 :rule refl :args (3)) % 105.47/105.78 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t46)) % 105.47/105.78 (step @p58 :rule trans :premises (@p57 @p54)) % 105.47/105.78 (step @p59 :rule refl :args (@t43)) % 105.47/105.78 (step @p60 :rule cong :premises (@p59 @p58) :args (@t47)) % 105.47/105.78 (step @p61 :rule evaluate :args (@t48)) % 105.47/105.78 (step @p62 :rule evaluate :args ((not true))) % 105.47/105.78 (step @p63 :rule evaluate :args (@t49)) % 105.47/105.78 (step @p64 :rule cong :premises (@p63) :args (@t50)) % 105.47/105.78 (step @p65 :rule trans :premises (@p64 @p62)) % 105.47/105.78 (step @p66 :rule nary_cong :premises (@p65 @p61 @p60) :args (@t51)) % 105.47/105.78 (step @p67 :rule trans :premises (@p66 @p53)) % 105.47/105.78 (step @p68 :rule refl :args (@t38)) % 105.47/105.78 (step @p69 :rule cong :premises (@p68 @p67) :args ((=> @t38 @t51))) % 105.47/105.78 (assume-push @p83 @t38) % 105.47/105.78 (step @p71 :rule instantiate :premises (@p52) :args (@t52)) % 105.47/105.78 (step-pop @p84 :rule scope :premises (@p71)) % 105.47/105.78 (step @p72 :rule process_scope :premises (@p84) :args (@t51)) % 105.47/105.78 (step @p74 :rule eq_resolve :premises (@p72 @p69)) % 105.47/105.78 (step @p75 :rule implies_elim :premises (@p74)) % 105.47/105.78 (step @p76 :rule chain_m_resolution :premises (@p75 @p52) :args (@t44 (@list false) (@list @t38))) % 105.47/105.78 (assume-push @p85 @t36) % 105.47/105.78 (step @p78 :rule instantiate :premises (@p46) :args (@t52)) % 105.47/105.78 (step-pop @p86 :rule scope :premises (@p78)) % 105.47/105.78 (step @p79 :rule process_scope :premises (@p86) :args ((not @t44))) % 105.47/105.78 (step @p81 :rule implies_elim :premises (@p79)) % 105.47/105.78 (step @p82 false :rule chain_m_resolution :premises (@p81 @p76 @p46) :args (false (@list false false) (@list @t44 @t36))) % 105.47/105.78 ) % 105.47/105.78 % SZS output end Proof % 105.47/105.78 % cvc5 exiting %------------------------------------------------------------------------------