TSTP Solution File: ARI529_1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ARI529_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : do_cvc5 %s %d

% Computer : n009.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 May 29 16:34:03 EDT 2024

% Result   : Theorem 0.18s 0.50s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : ARI529_1 : TPTP v8.2.0. Released v5.0.0.
% 0.04/0.13  % Command    : do_cvc5 %s %d
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon May 27 05:30:54 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.18/0.47  %----Proving TF0_ARI
% 0.18/0.50  --- Run --finite-model-find --decision=internal at 15...
% 0.18/0.50  % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.3CQaCePuS9/cvc5---1.0.5_4533.smt2
% 0.18/0.50  % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.3CQaCePuS9/cvc5---1.0.5_4533.smt2
% 0.18/0.50  (assume a0 (not (< (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2))))
% 0.18/0.50  (assume a1 true)
% 0.18/0.50  (step t1 (cl (not (= (not (< (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2))) false)) (not (not (< (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2)))) false) :rule equiv_pos2)
% 0.18/0.50  (step t2 (cl (= (< (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2)) (not (>= (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2))))) :rule all_simplify)
% 0.18/0.50  (step t3 (cl (= (- 10.0 (/ 1 10000)) (+ 10.0 (* (- 1.0) (/ 1 10000))))) :rule all_simplify)
% 0.18/0.50  (step t4 (cl (= 10.0 10.0)) :rule refl)
% 0.18/0.50  (step t5 (cl (= (* (- 1.0) (/ 1 10000)) (/ (- 1) 10000))) :rule all_simplify)
% 0.18/0.50  (step t6 (cl (= (+ 10.0 (* (- 1.0) (/ 1 10000))) (+ 10.0 (/ (- 1) 10000)))) :rule cong :premises (t4 t5))
% 0.18/0.50  (step t7 (cl (= (+ 10.0 (/ (- 1) 10000)) (/ 99999 10000))) :rule all_simplify)
% 0.18/0.50  (step t8 (cl (= (+ 10.0 (* (- 1.0) (/ 1 10000))) (/ 99999 10000))) :rule trans :premises (t6 t7))
% 0.18/0.50  (step t9 (cl (= (- 10.0 (/ 1 10000)) (/ 99999 10000))) :rule trans :premises (t3 t8))
% 0.18/0.50  (step t10 (cl (= (to_int (- 10.0 (/ 1 10000))) (to_int (/ 99999 10000)))) :rule cong :premises (t9))
% 0.18/0.50  (step t11 (cl (= (to_int (/ 99999 10000)) 9)) :rule all_simplify)
% 0.18/0.50  (step t12 (cl (= (to_int (- 10.0 (/ 1 10000))) 9)) :rule trans :premises (t10 t11))
% 0.18/0.50  (step t13 (cl (= (to_int (/ 11 2)) 5)) :rule all_simplify)
% 0.18/0.50  (step t14 (cl (= 2 2)) :rule refl)
% 0.18/0.50  (step t15 (cl (= (* (to_int (/ 11 2)) 2) (* 5 2))) :rule cong :premises (t13 t14))
% 0.18/0.50  (step t16 (cl (= (* 5 2) 10)) :rule all_simplify)
% 0.18/0.50  (step t17 (cl (= (* (to_int (/ 11 2)) 2) 10)) :rule trans :premises (t15 t16))
% 0.18/0.50  (step t18 (cl (= (>= (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2)) (>= 9 10))) :rule cong :premises (t12 t17))
% 0.18/0.50  (step t19 (cl (= (>= 9 10) false)) :rule all_simplify)
% 0.18/0.50  (step t20 (cl (= (>= (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2)) false)) :rule trans :premises (t18 t19))
% 0.18/0.50  (step t21 (cl (= (not (>= (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2))) (not false))) :rule cong :premises (t20))
% 0.18/0.50  (step t22 (cl (= (not false) true)) :rule all_simplify)
% 0.18/0.50  (step t23 (cl (= (not (>= (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2))) true)) :rule trans :premises (t21 t22))
% 0.18/0.50  (step t24 (cl (= (< (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2)) true)) :rule trans :premises (t2 t23))
% 0.18/0.50  (step t25 (cl (= (not (< (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2))) (not true))) :rule cong :premises (t24))
% 0.18/0.50  (step t26 (cl (= (not true) false)) :rule all_simplify)
% 0.18/0.50  (step t27 (cl (= (not (< (to_int (- 10.0 (/ 1 10000))) (* (to_int (/ 11 2)) 2))) false)) :rule trans :premises (t25 t26))
% 0.18/0.50  (step t28 (cl false) :rule resolution :premises (t1 t27 a0))
% 0.18/0.50  (step t29 (cl (not false)) :rule false)
% 0.18/0.50  (step t30 (cl) :rule resolution :premises (t28 t29))
% 0.18/0.50  
% 0.18/0.50  % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.3CQaCePuS9/cvc5---1.0.5_4533.smt2
% 0.18/0.50  % cvc5---1.0.5 exiting
% 0.18/0.50  % cvc5---1.0.5 exiting
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