↑ Up

cvc5---1.3.4.THM-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI719_1 : TPTP v9.2.1. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n020.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 08:08:11 AM UTC 2026

% Result   : Theorem 0.37s 0.57s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI719_1 : TPTP v9.2.1. Released v6.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n020.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Wed Jun  3 02:32:55 EDT 2026
% 0.16/0.35  % CPUTime  : 
% 0.27/0.50  %----Proving TF0_ARI
% 0.37/0.57  --- Run --finite-model-find --decision=internal at 45...
% 0.37/0.57  % SZS status Theorem
% 0.37/0.57  % SZS output start Proof
% 0.37/0.57  (
% 0.37/0.57  (define @t1 () (- 3))
% 0.37/0.57  (define @t2 () (/ @t1 10))
% 0.37/0.57  (define @t3 () (@var "X" Real))
% 0.37/0.57  (define @t4 () (+ @t3 @t2))
% 0.37/0.57  (define @t5 () (to_int @t4))
% 0.37/0.57  (define @t6 () (/ 1 2))
% 0.37/0.57  (define @t7 () (+ @t3 @t6))
% 0.37/0.57  (define @t8 () (to_int @t7))
% 0.37/0.57  (define @t9 () (= @t8 @t5))
% 0.37/0.57  (define @t10 () (@list @t3))
% 0.37/0.57  (define @t11 () (exists @t10 @t9))
% 0.37/0.57  (define @t12 () (not @t11))
% 0.37/0.57  (define @t13 () (+ -3/10 @t3))
% 0.37/0.57  (define @t14 () (+ 1/2 @t3))
% 0.37/0.57  (define @t15 () (= (to_int @t14) (to_int @t13)))
% 0.37/0.57  (define @t16 () (forall @t10 (not @t15)))
% 0.37/0.57  (define @t17 () (to_real @t1))
% 0.37/0.57  (define @t18 () (* @t17 1/10))
% 0.37/0.57  (define @t19 () (+ -3/10 3/10))
% 0.37/0.57  (define @t20 () (to_int @t19))
% 0.37/0.57  (define @t21 () (+ 1/2 3/10))
% 0.37/0.57  (define @t22 () (to_int @t21))
% 0.37/0.57  (define @t23 () (= @t22 @t20))
% 0.37/0.57  (define @t24 () (not @t23))
% 0.37/0.57  (assume @p1 @t12)
% 0.37/0.57  (assume @p2 true)
% 0.37/0.57  (step @p3 :rule bool-double-not-elim :args (@t16))
% 0.37/0.57  (step @p4 :rule exists-elim :args ((= (exists @t10 @t15) (not @t16))))
% 0.37/0.57  (step @p5 :rule arith_poly_norm :args ((= (+ @t3 -3/10) @t13)))
% 0.37/0.57  (step @p6 :rule evaluate :args ((* -3/1 1/10)))
% 0.37/0.57  (step @p7 :rule refl :args (1/10))
% 0.37/0.57  (step @p8 :rule evaluate :args ((to_real -3)))
% 0.37/0.57  (step @p9 :rule evaluate :args (@t1))
% 0.37/0.57  (step @p10 :rule cong :premises (@p9) :args (@t17))
% 0.37/0.57  (step @p11 :rule trans :premises (@p10 @p8))
% 0.37/0.57  (step @p12 :rule nary_cong :premises (@p11 @p7) :args (@t18))
% 0.37/0.57  (step @p13 :rule trans :premises (@p12 @p6))
% 0.37/0.57  (step @p14 :rule evaluate :args (@t18))
% 0.37/0.57  (step @p15 :rule symm :premises (@p14))
% 0.37/0.57  (step @p16 :rule evaluate :args (@t2))
% 0.37/0.57  (step @p17 :rule trans :premises (@p16 @p15))
% 0.37/0.57  (step @p18 :rule trans :premises (@p17 @p13))
% 0.37/0.57  (step @p19 :rule refl :args (@t3))
% 0.37/0.57  (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t4))
% 0.37/0.57  (step @p21 :rule trans :premises (@p20 @p5))
% 0.37/0.57  (step @p22 :rule cong :premises (@p21) :args (@t5))
% 0.37/0.57  (step @p23 :rule arith_poly_norm :args ((= (+ @t3 1/2) @t14)))
% 0.37/0.57  (step @p24 :rule evaluate :args (@t6))
% 0.37/0.57  (step @p25 :rule nary_cong :premises (@p19 @p24) :args (@t7))
% 0.37/0.57  (step @p26 :rule trans :premises (@p25 @p23))
% 0.37/0.57  (step @p27 :rule cong :premises (@p26) :args (@t8))
% 0.37/0.57  (step @p28 :rule cong :premises (@p27 @p22) :args (@t9))
% 0.37/0.57  (step @p29 :rule cong :premises (@p28) :args (@t11))
% 0.37/0.57  (step @p30 :rule trans :premises (@p29 @p4))
% 0.37/0.57  (step @p31 :rule cong :premises (@p30) :args (@t12))
% 0.37/0.57  (step @p32 :rule trans :premises (@p31 @p3))
% 0.37/0.57  (step @p33 :rule eq_resolve :premises (@p1 @p32))
% 0.37/0.57  (step @p34 :rule bool-impl-false1 :args (@t16))
% 0.37/0.57  (step @p35 :rule evaluate :args ((not true)))
% 0.37/0.57  (step @p36 :rule evaluate :args ((= 0 0)))
% 0.37/0.57  (step @p37 :rule evaluate :args ((to_int 0/1)))
% 0.37/0.57  (step @p38 :rule evaluate :args (@t19))
% 0.37/0.57  (step @p39 :rule cong :premises (@p38) :args (@t20))
% 0.37/0.57  (step @p40 :rule trans :premises (@p39 @p37))
% 0.37/0.57  (step @p41 :rule evaluate :args ((to_int 4/5)))
% 0.37/0.57  (step @p42 :rule evaluate :args (@t21))
% 0.37/0.57  (step @p43 :rule cong :premises (@p42) :args (@t22))
% 0.37/0.57  (step @p44 :rule trans :premises (@p43 @p41))
% 0.37/0.57  (step @p45 :rule cong :premises (@p44 @p40) :args (@t23))
% 0.37/0.57  (step @p46 :rule trans :premises (@p45 @p36))
% 0.37/0.57  (step @p47 :rule cong :premises (@p46) :args (@t24))
% 0.37/0.57  (step @p48 :rule trans :premises (@p47 @p35))
% 0.37/0.57  (step @p49 :rule refl :args (@t16))
% 0.37/0.57  (step @p50 :rule cong :premises (@p49 @p48) :args ((=> @t16 @t24)))
% 0.37/0.57  (step @p51 :rule trans :premises (@p50 @p34))
% 0.37/0.57  (assume-push @p58 @t16)
% 0.37/0.57  (step @p53 :rule instantiate :premises (@p33) :args ((@list 3/10)))
% 0.37/0.57  (step-pop @p59 :rule scope :premises (@p53))
% 0.37/0.57  (step @p54 :rule process_scope :premises (@p59) :args (@t24))
% 0.37/0.57  (step @p56 :rule eq_resolve :premises (@p54 @p51))
% 0.37/0.57  (step @p57 false :rule chain_m_resolution :premises (@p56 @p33) :args (false (@list false) (@list @t16)))
% 0.37/0.57  )
% 0.37/0.57  % SZS output end Proof
% 0.37/0.57  % cvc5 exiting
%------------------------------------------------------------------------------