↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI504_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 : n022.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 08:07:46 AM UTC 2026

% Result   : Theorem 0.32s 0.57s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ARI504_1 : TPTP v9.2.1. Released v5.0.0.
% 0.12/0.14  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.35  % Computer : n022.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 : Wed Jun  3 02:29:08 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.32/0.50  %----Proving TF0_ARI
% 0.32/0.57  --- Run --finite-model-find --decision=internal at 45...
% 0.32/0.57  % SZS status Theorem
% 0.32/0.57  % SZS output start Proof
% 0.32/0.57  (
% 0.32/0.57  (define @t1 () (@var "R" Int))
% 0.32/0.57  (define @t2 () (to_real @t1))
% 0.32/0.57  (define @t3 () (/ 41 20))
% 0.32/0.57  (define @t4 () (* @t3 @t2))
% 0.32/0.57  (define @t5 () (@var "Q" Int))
% 0.32/0.57  (define @t6 () (to_real @t5))
% 0.32/0.57  (define @t7 () (= @t6 @t4))
% 0.32/0.57  (define @t8 () (= @t1 0))
% 0.32/0.57  (define @t9 () (not @t8))
% 0.32/0.57  (define @t10 () (and @t9 @t7))
% 0.32/0.57  (define @t11 () (@list @t5 @t1))
% 0.32/0.57  (define @t12 () (exists @t11 @t10))
% 0.32/0.57  (define @t13 () (not @t12))
% 0.32/0.57  (define @t14 () (* 41 @t1))
% 0.32/0.57  (define @t15 () (* 20 @t5))
% 0.32/0.57  (define @t16 () (= @t15 @t14))
% 0.32/0.57  (define @t17 () (not @t16))
% 0.32/0.57  (define @t18 () (forall @t11 (or @t8 @t17)))
% 0.32/0.57  (define @t19 () (and @t9 @t16))
% 0.32/0.57  (define @t20 () (forall @t11 (not @t19)))
% 0.32/0.57  (define @t21 () (not @t20))
% 0.32/0.57  (define @t22 () (* 41/20 @t2))
% 0.32/0.57  (define @t23 () (* 41 -20))
% 0.32/0.57  (define @t24 () (* -1 41))
% 0.32/0.57  (define @t25 () (* 20 @t24))
% 0.32/0.57  (define @t26 () (= @t25 @t23))
% 0.32/0.57  (define @t27 () (not @t26))
% 0.32/0.57  (define @t28 () (= -20 0))
% 0.32/0.57  (define @t29 () (or @t28 @t27))
% 0.32/0.57  (assume @p1 @t13)
% 0.32/0.57  (assume @p2 true)
% 0.32/0.57  (step @p3 :rule bool-double-not-elim :args (@t18))
% 0.32/0.57  (step @p4 :rule refl :args (@t17))
% 0.32/0.57  (step @p5 :rule bool-double-not-elim :args (@t8))
% 0.32/0.57  (step @p6 :rule nary_cong :premises (@p5 @p4) :args ((or (not @t9) @t17)))
% 0.32/0.57  (step @p7 :rule bool-and-de-morgan :args (@t9 @t16 true))
% 0.32/0.57  (step @p8 :rule trans :premises (@p7 @p6))
% 0.32/0.57  (step @p9 :rule cong :premises (@p8) :args (@t20))
% 0.32/0.57  (step @p10 :rule cong :premises (@p9) :args (@t21))
% 0.32/0.57  (step @p11 :rule exists-elim :args ((= (exists @t11 @t19) @t21)))
% 0.32/0.57  (step @p12 :rule trans :premises (@p11 @p10))
% 0.32/0.57  (step @p13 :rule arith_poly_norm :args ((= (* 20/1 (- @t6 @t22)) (* 1/1 (to_real (- @t15 @t14))))))
% 0.32/0.57  (step @p14 :rule arith_poly_norm_rel :premises (@p13) :args ((= (= @t6 @t22) @t16)))
% 0.32/0.57  (step @p15 :rule refl :args (@t2))
% 0.32/0.57  (step @p16 :rule evaluate :args (@t3))
% 0.32/0.57  (step @p17 :rule nary_cong :premises (@p16 @p15) :args (@t4))
% 0.32/0.57  (step @p18 :rule refl :args (@t6))
% 0.32/0.57  (step @p19 :rule cong :premises (@p18 @p17) :args (@t7))
% 0.32/0.57  (step @p20 :rule trans :premises (@p19 @p14))
% 0.32/0.57  (step @p21 :rule refl :args (@t9))
% 0.32/0.57  (step @p22 :rule nary_cong :premises (@p21 @p20) :args (@t10))
% 0.32/0.57  (step @p23 :rule cong :premises (@p22) :args (@t12))
% 0.32/0.57  (step @p24 :rule trans :premises (@p23 @p12))
% 0.32/0.57  (step @p25 :rule cong :premises (@p24) :args (@t13))
% 0.32/0.57  (step @p26 :rule trans :premises (@p25 @p3))
% 0.32/0.57  (step @p27 :rule eq_resolve :premises (@p1 @p26))
% 0.32/0.57  (step @p28 :rule bool-impl-false1 :args (@t18))
% 0.32/0.57  (step @p29 :rule evaluate :args ((or false false)))
% 0.32/0.57  (step @p30 :rule evaluate :args ((not true)))
% 0.32/0.57  (step @p31 :rule evaluate :args ((= -820 -820)))
% 0.32/0.57  (step @p32 :rule evaluate :args (@t23))
% 0.32/0.57  (step @p33 :rule evaluate :args ((* 20 -41)))
% 0.32/0.57  (step @p34 :rule evaluate :args (@t24))
% 0.32/0.57  (step @p35 :rule refl :args (20))
% 0.32/0.57  (step @p36 :rule nary_cong :premises (@p35 @p34) :args (@t25))
% 0.32/0.57  (step @p37 :rule trans :premises (@p36 @p33))
% 0.32/0.57  (step @p38 :rule cong :premises (@p37 @p32) :args (@t26))
% 0.32/0.57  (step @p39 :rule trans :premises (@p38 @p31))
% 0.32/0.57  (step @p40 :rule cong :premises (@p39) :args (@t27))
% 0.32/0.57  (step @p41 :rule trans :premises (@p40 @p30))
% 0.32/0.57  (step @p42 :rule evaluate :args (@t28))
% 0.32/0.57  (step @p43 :rule nary_cong :premises (@p42 @p41) :args (@t29))
% 0.32/0.57  (step @p44 :rule trans :premises (@p43 @p29))
% 0.32/0.57  (step @p45 :rule refl :args (@t18))
% 0.32/0.57  (step @p46 :rule cong :premises (@p45 @p44) :args ((=> @t18 @t29)))
% 0.32/0.57  (step @p47 :rule trans :premises (@p46 @p28))
% 0.32/0.57  (assume-push @p54 @t18)
% 0.32/0.57  (step @p49 :rule instantiate :premises (@p27) :args ((@list @t24 -20)))
% 0.32/0.57  (step-pop @p55 :rule scope :premises (@p49))
% 0.32/0.57  (step @p50 :rule process_scope :premises (@p55) :args (@t29))
% 0.32/0.57  (step @p52 :rule eq_resolve :premises (@p50 @p47))
% 0.32/0.57  (step @p53 false :rule chain_m_resolution :premises (@p52 @p27) :args (false (@list false) (@list @t18)))
% 0.32/0.57  )
% 0.32/0.57  % SZS output end Proof
% 0.32/0.57  % cvc5 exiting
%------------------------------------------------------------------------------