↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT003_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 08:14:19 AM UTC 2026

% Result   : Theorem 0.35s 0.57s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : DAT003_1 : TPTP v9.2.1. Released v5.0.0.
% 0.11/0.14  % Command  : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n006.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Mon Jun  1 22:25:04 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.27/0.50  %----Proving TF0_ARI
% 0.35/0.57  --- Run --finite-model-find --decision=internal at 45...
% 0.35/0.57  % SZS status Theorem
% 0.35/0.57  % SZS output start Proof
% 0.35/0.57  (
% 0.35/0.57  (declare-sort tptp.array 0)
% 0.35/0.57  (declare-const tptp.read (-> tptp.array Int Int))
% 0.35/0.57  (declare-const tptp.write (-> tptp.array Int Int tptp.array))
% 0.35/0.57  (define @t1 () (@var "W" Int))
% 0.35/0.57  (define @t2 () (@var "V" Int))
% 0.35/0.57  (define @t3 () (@var "U" tptp.array))
% 0.35/0.57  (define @t4 () (tptp.read (tptp.write @t3 @t2 @t1) @t2))
% 0.35/0.57  (define @t5 () (= @t4 @t1))
% 0.35/0.57  (define @t6 () (@list @t3 @t2 @t1))
% 0.35/0.57  (define @t7 () (forall @t6 @t5))
% 0.35/0.57  (define @t8 () (@var "Z" Int))
% 0.35/0.57  (define @t9 () (@var "X" tptp.array))
% 0.35/0.57  (define @t10 () (@var "X1" Int))
% 0.35/0.57  (define @t11 () (@var "Y" Int))
% 0.35/0.57  (define @t12 () (forall (@list @t9 @t11 @t8 @t10) (or (= @t11 @t8) (= (tptp.read (tptp.write @t9 @t11 @t10) @t8) (tptp.read @t9 @t8)))))
% 0.35/0.57  (define @t13 () (= (tptp.read @t3 3) 33))
% 0.35/0.57  (define @t14 () (@var "V" tptp.array))
% 0.35/0.57  (define @t15 () (tptp.write (tptp.write (tptp.write (tptp.write @t14 3 33) 4 444) 5 55) 4 44))
% 0.35/0.57  (define @t16 () (= @t3 @t15))
% 0.35/0.57  (define @t17 () (@list @t3 @t14))
% 0.35/0.57  (define @t18 () (forall @t17 (=> @t16 @t13)))
% 0.35/0.57  (define @t19 () (not @t18))
% 0.35/0.57  (define @t20 () (= @t1 @t4))
% 0.35/0.57  (define @t21 () (= (tptp.read @t15 3) 33))
% 0.35/0.57  (define @t22 () (@list @t14))
% 0.35/0.57  (define @t23 () (@quantifiers_skolemize (forall @t22 @t21) 0))
% 0.35/0.57  (define @t24 () (tptp.write @t23 3 33))
% 0.35/0.57  (define @t25 () (tptp.read @t24 3))
% 0.35/0.57  (define @t26 () (= @t25 33))
% 0.35/0.57  (define @t27 () (= 33 @t25))
% 0.35/0.57  (define @t28 () (forall @t6 @t20))
% 0.35/0.57  (define @t29 () (@list false))
% 0.35/0.57  (define @t30 () (tptp.write @t24 4 444))
% 0.35/0.57  (define @t31 () (tptp.read @t30 3))
% 0.35/0.57  (define @t32 () (= @t25 @t31))
% 0.35/0.57  (define @t33 () (= @t31 @t25))
% 0.35/0.57  (define @t34 () (= 4 3))
% 0.35/0.57  (define @t35 () (or @t34 @t33))
% 0.35/0.57  (define @t36 () (@list @t12))
% 0.35/0.57  (define @t37 () (tptp.write @t30 5 55))
% 0.35/0.57  (define @t38 () (tptp.read @t37 3))
% 0.35/0.57  (define @t39 () (= @t38 @t31))
% 0.35/0.57  (define @t40 () (= 5 3))
% 0.35/0.57  (define @t41 () (or @t40 @t39))
% 0.35/0.57  (define @t42 () (= (tptp.read (tptp.write @t37 4 44) 3) @t38))
% 0.35/0.57  (define @t43 () (or @t34 @t42))
% 0.35/0.57  (define @t44 () (not (= @t15 @t15)))
% 0.35/0.57  (define @t45 () (or @t44 @t21))
% 0.35/0.57  (define @t46 () (not @t16))
% 0.35/0.57  (define @t47 () (or @t46 @t46 @t13))
% 0.35/0.57  (define @t48 () (@list @t3))
% 0.35/0.57  (define @t49 () (or @t46 @t13))
% 0.35/0.57  (define @t50 () (forall @t48 @t49))
% 0.35/0.57  (define @t51 () (forall @t22 @t50))
% 0.35/0.57  (define @t52 () (forall (@list @t14 @t3) @t49))
% 0.35/0.57  (assume @p1 @t7)
% 0.35/0.57  (assume @p2 @t12)
% 0.35/0.57  (assume @p3 @t19)
% 0.35/0.57  (assume @p4 true)
% 0.35/0.57  (step @p5 :rule evaluate :args ((= false true)))
% 0.35/0.57  (step @p6 :rule arith_poly_norm :args ((= (* 1 (- @t4 @t1)) (* -1 (- @t1 @t4)))))
% 0.35/0.57  (step @p7 :rule arith_poly_norm_rel :premises (@p6) :args ((= @t5 @t20)))
% 0.35/0.57  (step @p8 :rule cong :premises (@p7) :args (@t7))
% 0.35/0.57  (step @p9 :rule eq_resolve :premises (@p1 @p8))
% 0.35/0.57  (step @p10 :rule arith_poly_norm :args ((= (* -33 (- 33 @t25)) (* 33 (- @t25 33)))))
% 0.35/0.57  (step @p11 :rule arith_poly_norm_rel :premises (@p10) :args ((= @t27 @t26)))
% 0.35/0.57  (step @p12 :rule refl :args (@t28))
% 0.35/0.57  (step @p13 :rule cong :premises (@p12 @p11) :args ((=> @t28 @t27)))
% 0.35/0.57  (assume-push @p94 @t28)
% 0.35/0.57  (step @p15 :rule instantiate :premises (@p9) :args ((@list @t23 3 33)))
% 0.35/0.57  (step-pop @p95 :rule scope :premises (@p15))
% 0.35/0.57  (step @p16 :rule process_scope :premises (@p95) :args (@t27))
% 0.35/0.57  (step @p18 :rule eq_resolve :premises (@p16 @p13))
% 0.35/0.57  (step @p19 :rule implies_elim :premises (@p18))
% 0.35/0.57  (step @p20 :rule chain_m_resolution :premises (@p19 @p9) :args (@t26 @t29 (@list @t28)))
% 0.35/0.57  (step @p21 :rule aci_norm :args ((= (or false @t32) @t32)))
% 0.35/0.57  (step @p22 :rule arith_poly_norm :args ((= (* 1 (- @t31 @t25)) (* -1 (- @t25 @t31)))))
% 0.35/0.57  (step @p23 :rule arith_poly_norm_rel :premises (@p22) :args ((= @t33 @t32)))
% 0.35/0.57  (step @p24 :rule evaluate :args (@t34))
% 0.35/0.57  (step @p25 :rule nary_cong :premises (@p24 @p23) :args (@t35))
% 0.35/0.57  (step @p26 :rule trans :premises (@p25 @p21))
% 0.35/0.57  (step @p27 :rule refl :args (@t12))
% 0.35/0.57  (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t12 @t35)))
% 0.35/0.57  (assume-push @p96 @t12)
% 0.35/0.57  (step @p30 :rule instantiate :premises (@p2) :args ((@list @t24 4 3 444)))
% 0.35/0.57  (step-pop @p97 :rule scope :premises (@p30))
% 0.35/0.57  (step @p31 :rule process_scope :premises (@p97) :args (@t35))
% 0.35/0.57  (step @p33 :rule eq_resolve :premises (@p31 @p28))
% 0.35/0.57  (step @p34 :rule implies_elim :premises (@p33))
% 0.35/0.57  (step @p35 :rule chain_m_resolution :premises (@p34 @p2) :args (@t32 @t29 @t36))
% 0.35/0.57  (step @p36 :rule symm :premises (@p35))
% 0.35/0.57  (step @p37 :rule aci_norm :args ((= (or false @t39) @t39)))
% 0.35/0.57  (step @p38 :rule refl :args (@t39))
% 0.35/0.57  (step @p39 :rule evaluate :args (@t40))
% 0.35/0.57  (step @p40 :rule nary_cong :premises (@p39 @p38) :args (@t41))
% 0.35/0.57  (step @p41 :rule trans :premises (@p40 @p37))
% 0.35/0.57  (step @p42 :rule cong :premises (@p27 @p41) :args ((=> @t12 @t41)))
% 0.35/0.57  (assume-push @p98 @t12)
% 0.35/0.57  (step @p44 :rule instantiate :premises (@p2) :args ((@list @t30 5 3 55)))
% 0.35/0.57  (step-pop @p99 :rule scope :premises (@p44))
% 0.35/0.57  (step @p45 :rule process_scope :premises (@p99) :args (@t41))
% 0.35/0.57  (step @p47 :rule eq_resolve :premises (@p45 @p42))
% 0.35/0.57  (step @p48 :rule implies_elim :premises (@p47))
% 0.35/0.57  (step @p49 :rule chain_m_resolution :premises (@p48 @p2) :args (@t39 @t29 @t36))
% 0.35/0.57  (step @p50 :rule aci_norm :args ((= (or false @t42) @t42)))
% 0.35/0.57  (step @p51 :rule refl :args (@t42))
% 0.35/0.57  (step @p52 :rule nary_cong :premises (@p24 @p51) :args (@t43))
% 0.35/0.57  (step @p53 :rule trans :premises (@p52 @p50))
% 0.35/0.57  (step @p54 :rule cong :premises (@p27 @p53) :args ((=> @t12 @t43)))
% 0.35/0.57  (assume-push @p100 @t12)
% 0.35/0.57  (step @p56 :rule instantiate :premises (@p2) :args ((@list @t37 4 3 44)))
% 0.35/0.57  (step-pop @p101 :rule scope :premises (@p56))
% 0.35/0.57  (step @p57 :rule process_scope :premises (@p101) :args (@t43))
% 0.35/0.57  (step @p59 :rule eq_resolve :premises (@p57 @p54))
% 0.35/0.57  (step @p60 :rule implies_elim :premises (@p59))
% 0.35/0.57  (step @p61 :rule chain_m_resolution :premises (@p60 @p2) :args (@t42 @t29 @t36))
% 0.35/0.57  (step @p62 :rule trans :premises (@p61 @p49 @p36))
% 0.35/0.57  (step @p63 :rule trans :premises (@p62 @p20))
% 0.35/0.57  (step @p64 :rule true_intro :premises (@p63))
% 0.35/0.57  (step @p65 :rule aci_norm :args ((= (or false @t21) @t21)))
% 0.35/0.57  (step @p66 :rule refl :args (@t21))
% 0.35/0.57  (step @p67 :rule evaluate :args ((not true)))
% 0.35/0.57  (step @p68 :rule eq-refl :args (@t15))
% 0.35/0.57  (step @p69 :rule cong :premises (@p68) :args (@t44))
% 0.35/0.57  (step @p70 :rule trans :premises (@p69 @p67))
% 0.35/0.57  (step @p71 :rule nary_cong :premises (@p70 @p66) :args (@t45))
% 0.35/0.57  (step @p72 :rule trans :premises (@p71 @p65))
% 0.35/0.57  (step @p73 :rule cong :premises (@p72) :args ((forall @t22 @t45)))
% 0.35/0.57  (step @p74 :rule quant-var-elim-eq :args ((= (forall @t48 @t47) @t45)))
% 0.35/0.57  (step @p75 :rule aci_norm :args ((= @t49 @t47)))
% 0.35/0.57  (step @p76 :rule cong :premises (@p75) :args (@t50))
% 0.35/0.57  (step @p77 :rule trans :premises (@p76 @p74))
% 0.35/0.57  (step @p78 :rule cong :premises (@p77) :args (@t51))
% 0.35/0.57  (step @p79 :rule quant-merge-prenex :args ((= @t51 @t52)))
% 0.35/0.57  (step @p80 :rule symm :premises (@p79))
% 0.35/0.57  (step @p81 :rule quant_var_reordering :args ((= (forall @t17 @t49) @t52)))
% 0.35/0.57  (step @p82 :rule trans :premises (@p81 @p80 @p78))
% 0.35/0.57  (step @p83 :rule trans :premises (@p82 @p73))
% 0.35/0.57  (step @p84 :rule bool-impl-elim :args (@t16 @t13))
% 0.35/0.57  (step @p85 :rule cong :premises (@p84) :args (@t18))
% 0.35/0.57  (step @p86 :rule trans :premises (@p85 @p83))
% 0.35/0.57  (step @p87 :rule cong :premises (@p86) :args (@t19))
% 0.35/0.57  (step @p88 :rule eq_resolve :premises (@p3 @p87))
% 0.35/0.57  (step @p89 :rule skolemize :premises (@p88))
% 0.35/0.57  (step @p90 :rule false_intro :premises (@p89))
% 0.35/0.57  (step @p91 :rule symm :premises (@p90))
% 0.35/0.57  (step @p92 :rule trans :premises (@p91 @p64))
% 0.35/0.57  (step @p93 false :rule eq_resolve :premises (@p92 @p5))
% 0.35/0.57  )
% 0.35/0.57  % SZS output end Proof
% 0.35/0.57  % cvc5 exiting
%------------------------------------------------------------------------------