TSTP Solution File: ARI273_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI273_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n027.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 : Tue Sep 6 17:01:10 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 11 ( 5 ~; 0 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 58 ( 0 atm; 16 fun; 42 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 0 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ( 1/2 = 1/2 )
<=> $true ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
$sum(7/8,-3/8) = 1/2,
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
$product(-1,3/8) = -3/8,
inference(rewrite,[status(thm)],]) ).
tff(5,plain,
$sum(7/8,$product(-1,3/8)) = $sum(7/8,-3/8),
inference(monotonicity,[status(thm)],[4]) ).
tff(6,plain,
$sum(7/8,$product(-1,3/8)) = 1/2,
inference(transitivity,[status(thm)],[5,3]) ).
tff(7,plain,
$difference(7/8,3/8) = $sum(7/8,$product(-1,3/8)),
inference(rewrite,[status(thm)],]) ).
tff(8,plain,
$difference(7/8,3/8) = 1/2,
inference(transitivity,[status(thm)],[7,6]) ).
tff(9,plain,
( ( $difference(7/8,3/8) = 1/2 )
<=> ( 1/2 = 1/2 ) ),
inference(monotonicity,[status(thm)],[8]) ).
tff(10,plain,
( ( $difference(7/8,3/8) = 1/2 )
<=> $true ),
inference(transitivity,[status(thm)],[9,2]) ).
tff(11,plain,
( ( $difference(7/8,3/8) != 1/2 )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[10]) ).
tff(12,plain,
( ( $difference(7/8,3/8) != 1/2 )
<=> $false ),
inference(transitivity,[status(thm)],[11,1]) ).
tff(13,axiom,
$difference(7/8,3/8) != 1/2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rat_difference_problem_1) ).
tff(14,plain,
$false,
inference(modus_ponens,[status(thm)],[13,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ARI273_1 : TPTP v8.1.0. Released v5.0.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 23:07:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.19/0.37 % SZS status Theorem
% 0.19/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------