TSTP Solution File: ARI555_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI555_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 17:02:03 EDT 2022
% Result : Theorem 0.14s 0.38s
% Output : Proof 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 4 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 ( 2 avg)
% Number arithmetic : 54 ( 7 atm; 17 fun; 30 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 0 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( $greatereq(-9/50,-9/50)
<=> $true ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
$uminus(9/50) = -9/50,
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
$product(-18/25,-1/4) = 9/50,
inference(rewrite,[status(thm)],]) ).
tff(5,plain,
$uminus($product(-18/25,-1/4)) = $uminus(9/50),
inference(monotonicity,[status(thm)],[4]) ).
tff(6,plain,
$uminus($product(-18/25,-1/4)) = -9/50,
inference(transitivity,[status(thm)],[5,3]) ).
tff(7,plain,
( $greatereq($uminus($product(-18/25,-1/4)),-9/50)
<=> $greatereq(-9/50,-9/50) ),
inference(monotonicity,[status(thm)],[6]) ).
tff(8,plain,
( $greatereq($uminus($product(-18/25,-1/4)),-9/50)
<=> $true ),
inference(transitivity,[status(thm)],[7,2]) ).
tff(9,plain,
( ~ $greatereq($uminus($product(-18/25,-1/4)),-9/50)
<=> ~ $true ),
inference(monotonicity,[status(thm)],[8]) ).
tff(10,plain,
( ~ $greatereq($uminus($product(-18/25,-1/4)),-9/50)
<=> $false ),
inference(transitivity,[status(thm)],[9,1]) ).
tff(11,axiom,
~ $greatereq($uminus($product(-18/25,-1/4)),-9/50),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rat_combined_problem_15) ).
tff(12,plain,
$false,
inference(modus_ponens,[status(thm)],[11,10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI555_1 : TPTP v8.1.0. Released v5.0.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.33 % Computer : n008.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:28:25 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.34 Usage: tptp [options] [-file:]file
% 0.14/0.34 -h, -? prints this message.
% 0.14/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.34 -m, -model generate model.
% 0.14/0.34 -p, -proof generate proof.
% 0.14/0.34 -c, -core generate unsat core of named formulas.
% 0.14/0.34 -st, -statistics display statistics.
% 0.14/0.34 -t:timeout set timeout (in second).
% 0.14/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.34 -<param>:<value> configuration parameter and value.
% 0.14/0.34 -o:<output-file> file to place output in.
% 0.14/0.38 % SZS status Theorem
% 0.14/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------