TSTP Solution File: ARI347_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI347_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n028.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 17:01:20 EDT 2022
% Result : Theorem 0.08s 0.35s
% Output : Proof 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 0 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number arithmetic : 27 ( 9 atm; 0 fun; 18 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 : 2 ( 0 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ $false
<=> $true ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
( $lesseq(479/50,953/100)
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ~ $lesseq(479/50,953/100)
<=> ~ $false ),
inference(monotonicity,[status(thm)],[3]) ).
tff(5,plain,
( ~ $lesseq(479/50,953/100)
<=> $true ),
inference(transitivity,[status(thm)],[4,2]) ).
tff(6,plain,
( $less(953/100,479/50)
<=> ~ $lesseq(479/50,953/100) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
( $less(953/100,479/50)
<=> $true ),
inference(transitivity,[status(thm)],[6,5]) ).
tff(8,plain,
( ~ $less(953/100,479/50)
<=> ~ $true ),
inference(monotonicity,[status(thm)],[7]) ).
tff(9,plain,
( ~ $less(953/100,479/50)
<=> $false ),
inference(transitivity,[status(thm)],[8,1]) ).
tff(10,axiom,
~ $less(953/100,479/50),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',real_less_problem_3) ).
tff(11,plain,
$false,
inference(modus_ponens,[status(thm)],[10,9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : ARI347_1 : TPTP v8.1.0. Released v5.0.0.
% 0.05/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.08/0.31 % Computer : n028.cluster.edu
% 0.08/0.31 % Model : x86_64 x86_64
% 0.08/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.31 % Memory : 8042.1875MB
% 0.08/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.31 % CPULimit : 300
% 0.08/0.31 % WCLimit : 300
% 0.08/0.31 % DateTime : Mon Aug 29 23:25:02 EDT 2022
% 0.08/0.31 % CPUTime :
% 0.08/0.32 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.08/0.32 Usage: tptp [options] [-file:]file
% 0.08/0.32 -h, -? prints this message.
% 0.08/0.32 -smt2 print SMT-LIB2 benchmark.
% 0.08/0.32 -m, -model generate model.
% 0.08/0.32 -p, -proof generate proof.
% 0.08/0.32 -c, -core generate unsat core of named formulas.
% 0.08/0.32 -st, -statistics display statistics.
% 0.08/0.32 -t:timeout set timeout (in second).
% 0.08/0.32 -smt2status display status in smt2 format instead of SZS.
% 0.08/0.32 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.08/0.32 -<param>:<value> configuration parameter and value.
% 0.08/0.32 -o:<output-file> file to place output in.
% 0.08/0.35 % SZS status Theorem
% 0.08/0.35 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------