TSTP Solution File: ARI713_1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI713_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n017.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 17:02:42 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 17 equ)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 14 ( 5 ~; 0 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 4 avg)
% Number of FOOLs : 21 ( 21 fml; 0 var)
% Number arithmetic : 202 ( 0 atm; 172 fun; 22 num; 8 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 5 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 7 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ! [X: $real] : $true
<=> $true ),
inference(elim_unused_vars,[status(thm)],]) ).
tff(3,plain,
^ [X: $real] :
trans(
monotonicity(trans(monotonicity(rewrite(( $to_real($to_int($uminus($uminus($to_real($to_int($uminus(X))))))) = $to_real($to_int($product(-1,X))) )),( $uminus($to_real($to_int($uminus($uminus($to_real($to_int($uminus(X)))))))) = $uminus($to_real($to_int($product(-1,X)))) )),rewrite(( $uminus($to_real($to_int($product(-1,X)))) = $product(-1,$to_real($to_int($product(-1,X)))) )),( $uminus($to_real($to_int($uminus($uminus($to_real($to_int($uminus(X)))))))) = $product(-1,$to_real($to_int($product(-1,X)))) )),trans(monotonicity(rewrite(( $to_real($to_int($uminus(X))) = $to_real($to_int($product(-1,X))) )),( $uminus($to_real($to_int($uminus(X)))) = $uminus($to_real($to_int($product(-1,X)))) )),rewrite(( $uminus($to_real($to_int($product(-1,X)))) = $product(-1,$to_real($to_int($product(-1,X)))) )),( $uminus($to_real($to_int($uminus(X)))) = $product(-1,$to_real($to_int($product(-1,X)))) )),
( ( $uminus($to_real($to_int($uminus($uminus($to_real($to_int($uminus(X)))))))) = $uminus($to_real($to_int($uminus(X)))) )
<=> ( $product(-1,$to_real($to_int($product(-1,X)))) = $product(-1,$to_real($to_int($product(-1,X)))) ) )),
rewrite(
( ( $product(-1,$to_real($to_int($product(-1,X)))) = $product(-1,$to_real($to_int($product(-1,X)))) )
<=> $true )),
( ( $uminus($to_real($to_int($uminus($uminus($to_real($to_int($uminus(X)))))))) = $uminus($to_real($to_int($uminus(X)))) )
<=> $true )),
inference(bind,[status(th)],]) ).
tff(4,plain,
( ! [X: $real] : ( $uminus($to_real($to_int($uminus($uminus($to_real($to_int($uminus(X)))))))) = $uminus($to_real($to_int($uminus(X)))) )
<=> ! [X: $real] : $true ),
inference(quant_intro,[status(thm)],[3]) ).
tff(5,plain,
( ! [X: $real] : ( $uminus($to_real($to_int($uminus($uminus($to_real($to_int($uminus(X)))))))) = $uminus($to_real($to_int($uminus(X)))) )
<=> $true ),
inference(transitivity,[status(thm)],[4,2]) ).
tff(6,plain,
( ~ ! [X: $real] : ( $uminus($to_real($to_int($uminus($uminus($to_real($to_int($uminus(X)))))))) = $uminus($to_real($to_int($uminus(X)))) )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[5]) ).
tff(7,plain,
( ~ ! [X: $real] : ( $uminus($to_real($to_int($uminus($uminus($to_real($to_int($uminus(X)))))))) = $uminus($to_real($to_int($uminus(X)))) )
<=> $false ),
inference(transitivity,[status(thm)],[6,1]) ).
tff(8,axiom,
~ ! [X: $real] : ( $uminus($to_real($to_int($uminus($uminus($to_real($to_int($uminus(X)))))))) = $uminus($to_real($to_int($uminus(X)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
tff(9,plain,
$false,
inference(modus_ponens,[status(thm)],[8,7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ARI713_1 : TPTP v8.1.0. Released v6.3.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n017.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 : Tue Aug 30 01:17:35 EDT 2022
% 0.13/0.35 % 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.
% 0.13/0.39 % SZS status Theorem
% 0.13/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------