TSTP Solution File: ARI167_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI167_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% 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 : Tue Sep 6 17:00:47 EDT 2022
% Result : Theorem 0.13s 0.40s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 26 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 11 ~; 0 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 152 ( 13 atm; 48 fun; 91 num; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 15 ( 0 usr; 11 con; 0-2 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(24,-112)
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ~ $lesseq(24,-112)
<=> ~ $false ),
inference(monotonicity,[status(thm)],[3]) ).
tff(5,plain,
( ~ $lesseq(24,-112)
<=> $true ),
inference(transitivity,[status(thm)],[4,2]) ).
tff(6,plain,
( $less(-112,24)
<=> ~ $lesseq(24,-112) ),
inference(rewrite,[status(thm)],]) ).
tff(7,plain,
$sum(-3,27) = 24,
inference(rewrite,[status(thm)],]) ).
tff(8,plain,
$uminus(3) = -3,
inference(rewrite,[status(thm)],]) ).
tff(9,plain,
$sum($uminus(3),27) = $sum(-3,27),
inference(monotonicity,[status(thm)],[8]) ).
tff(10,plain,
$sum($uminus(3),27) = 24,
inference(transitivity,[status(thm)],[9,7]) ).
tff(11,plain,
$product(-4,28) = -112,
inference(rewrite,[status(thm)],]) ).
tff(12,plain,
$sum(127,-99) = 28,
inference(rewrite,[status(thm)],]) ).
tff(13,plain,
$product(-1,99) = -99,
inference(rewrite,[status(thm)],]) ).
tff(14,plain,
$sum(127,$product(-1,99)) = $sum(127,-99),
inference(monotonicity,[status(thm)],[13]) ).
tff(15,plain,
$sum(127,$product(-1,99)) = 28,
inference(transitivity,[status(thm)],[14,12]) ).
tff(16,plain,
$difference(127,99) = $sum(127,$product(-1,99)),
inference(rewrite,[status(thm)],]) ).
tff(17,plain,
$difference(127,99) = 28,
inference(transitivity,[status(thm)],[16,15]) ).
tff(18,plain,
$product(-4,$difference(127,99)) = $product(-4,28),
inference(monotonicity,[status(thm)],[17]) ).
tff(19,plain,
$product(-4,$difference(127,99)) = -112,
inference(transitivity,[status(thm)],[18,11]) ).
tff(20,plain,
( $less($product(-4,$difference(127,99)),$sum($uminus(3),27))
<=> $less(-112,24) ),
inference(monotonicity,[status(thm)],[19,10]) ).
tff(21,plain,
( $less($product(-4,$difference(127,99)),$sum($uminus(3),27))
<=> ~ $lesseq(24,-112) ),
inference(transitivity,[status(thm)],[20,6]) ).
tff(22,plain,
( $less($product(-4,$difference(127,99)),$sum($uminus(3),27))
<=> $true ),
inference(transitivity,[status(thm)],[21,5]) ).
tff(23,plain,
( ~ $less($product(-4,$difference(127,99)),$sum($uminus(3),27))
<=> ~ $true ),
inference(monotonicity,[status(thm)],[22]) ).
tff(24,plain,
( ~ $less($product(-4,$difference(127,99)),$sum($uminus(3),27))
<=> $false ),
inference(transitivity,[status(thm)],[23,1]) ).
tff(25,axiom,
~ $less($product(-4,$difference(127,99)),$sum($uminus(3),27)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complex2) ).
tff(26,plain,
$false,
inference(modus_ponens,[status(thm)],[25,24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI167_1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:08:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.13/0.40 % SZS status Theorem
% 0.13/0.40 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------