↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : DAT019_1 : TPTP v9.2.1. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 0.16s 0.37s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : DAT019_1 : TPTP v9.2.1. Released v5.0.0.
% 0.00/0.07  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25  % Computer : n012.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 22:25:48 EDT 2026
% 0.08/0.25  % CPUTime  : 
% 0.16/0.33  %----Proving TF0_ARI
% 0.16/0.37  --- Run --finite-model-find --decision=internal at 45...
% 0.16/0.37  % SZS status Theorem
% 0.16/0.37  % SZS output start Proof
% 0.16/0.37  (
% 0.16/0.37  (declare-sort tptp.collection 0)
% 0.16/0.37  (declare-const tptp.remove (-> Int tptp.collection tptp.collection))
% 0.16/0.37  (declare-const tptp.add (-> Int tptp.collection tptp.collection))
% 0.16/0.37  (declare-const tptp.in (-> Int tptp.collection Bool))
% 0.16/0.37  (declare-const tptp.empty tptp.collection)
% 0.16/0.37  (define @t1 () (@var "U" Int))
% 0.16/0.37  (define @t2 () (@var "W" tptp.collection))
% 0.16/0.37  (define @t3 () (@var "V" Int))
% 0.16/0.37  (define @t4 () (@var "Y" tptp.collection))
% 0.16/0.37  (define @t5 () (@var "X" Int))
% 0.16/0.37  (define @t6 () (@var "X1" tptp.collection))
% 0.16/0.37  (define @t7 () (@var "X2" Int))
% 0.16/0.37  (define @t8 () (@var "Z" Int))
% 0.16/0.37  (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6)))))
% 0.16/0.37  (define @t10 () (@var "X4" tptp.collection))
% 0.16/0.37  (define @t11 () (@var "X5" Int))
% 0.16/0.37  (define @t12 () (@var "X3" Int))
% 0.16/0.37  (define @t13 () (tptp.add 5 tptp.empty))
% 0.16/0.37  (define @t14 () (tptp.add 3 @t13))
% 0.16/0.37  (define @t15 () (tptp.in 3 (tptp.add 1 @t14)))
% 0.16/0.37  (define @t16 () (tptp.in 3 @t14))
% 0.16/0.37  (define @t17 () (= @t15 @t16))
% 0.16/0.37  (define @t18 () (not @t17))
% 0.16/0.37  (define @t19 () (@list true false))
% 0.16/0.37  (define @t20 () (= 3 1))
% 0.16/0.37  (define @t21 () (or @t16 @t20))
% 0.16/0.37  (define @t22 () (= @t21 @t15))
% 0.16/0.37  (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty))))
% 0.16/0.37  (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2))))
% 0.16/0.37  (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4)))))
% 0.16/0.37  (assume @p4 @t9)
% 0.16/0.37  (assume @p5 (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10)))))
% 0.16/0.37  (assume @p6 (not @t15))
% 0.16/0.37  (assume @p7 true)
% 0.16/0.37  (step @p8 :rule instantiate :premises (@p2) :args ((@list 3 @t13)))
% 0.16/0.37  (step @p9 :rule cnf_equiv_pos2 :args (@t17))
% 0.16/0.37  (step @p10 :rule reordering :premises (@p9) :args ((or @t15 (not @t16) @t18)))
% 0.16/0.37  (step @p11 :rule chain_m_resolution :premises (@p10 @p6 @p8) :args (@t18 @t19 (@list @t15 @t16)))
% 0.16/0.37  (step @p12 :rule aci_norm :args ((= (or @t16 false) @t16)))
% 0.16/0.37  (step @p13 :rule evaluate :args (@t20))
% 0.16/0.37  (step @p14 :rule refl :args (@t16))
% 0.16/0.37  (step @p15 :rule nary_cong :premises (@p14 @p13) :args (@t21))
% 0.16/0.37  (step @p16 :rule trans :premises (@p15 @p12))
% 0.16/0.37  (step @p17 :rule refl :args (@t15))
% 0.16/0.37  (step @p18 :rule cong :premises (@p17 @p16) :args ((= @t15 @t21)))
% 0.16/0.37  (step @p19 :rule eq-symm :args (@t21 @t15))
% 0.16/0.37  (step @p20 :rule trans :premises (@p19 @p18))
% 0.16/0.37  (step @p21 :rule refl :args (@t9))
% 0.16/0.37  (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t9 @t22)))
% 0.16/0.37  (assume-push @p30 @t9)
% 0.16/0.37  (step @p24 :rule instantiate :premises (@p4) :args ((@list 3 @t14 1)))
% 0.16/0.37  (step-pop @p31 :rule scope :premises (@p24))
% 0.16/0.37  (step @p25 :rule process_scope :premises (@p31) :args (@t22))
% 0.16/0.37  (step @p27 :rule eq_resolve :premises (@p25 @p22))
% 0.16/0.37  (step @p28 :rule implies_elim :premises (@p27))
% 0.16/0.37  (step @p29 false :rule chain_m_resolution :premises (@p28 @p11 @p4) :args (false @t19 (@list @t17 @t9)))
% 0.16/0.37  )
% 0.16/0.37  % SZS output end Proof
% 0.16/0.37  % cvc5 exiting
%------------------------------------------------------------------------------