TSTP Solution File: ARI705_1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : ARI705_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n014.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 17:02:40 EDT 2022
% Result : Theorem 0.21s 0.42s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 21 ( 9 unt; 4 typ; 0 def)
% Number of atoms : 25 ( 18 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 8 ~; 0 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number arithmetic : 65 ( 0 atm; 44 fun; 21 num; 0 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 4 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(d_type,type,
d: $int ).
tff(c_type,type,
c: $int ).
tff(b_type,type,
b: $int ).
tff(a_type,type,
a: $int ).
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ( 0 = 0 )
<=> $true ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
$product(0,$product(b,$product(c,d))) = 0,
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ( $product(d,d) = $sum($product(d,d),a) )
<=> ( 0 = a ) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
$product(d,d) = $sum($product(d,d),a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).
tff(6,plain,
0 = a,
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
a = 0,
inference(symmetry,[status(thm)],[6]) ).
tff(8,plain,
$product(a,$product(b,$product(c,d))) = $product(0,$product(b,$product(c,d))),
inference(monotonicity,[status(thm)],[7]) ).
tff(9,plain,
$product(a,$product(b,$product(c,d))) = 0,
inference(transitivity,[status(thm)],[8,3]) ).
tff(10,plain,
( ( $product(a,$product(b,$product(c,d))) = 0 )
<=> ( 0 = 0 ) ),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
( ( $product(a,$product(b,$product(c,d))) = 0 )
<=> $true ),
inference(transitivity,[status(thm)],[10,2]) ).
tff(12,plain,
( ( $product(a,$product(b,$product(c,d))) != 0 )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[11]) ).
tff(13,plain,
( ( $product(a,$product(b,$product(c,d))) != 0 )
<=> $false ),
inference(transitivity,[status(thm)],[12,1]) ).
tff(14,plain,
( ( $product($product($product($product(d,c),a),b),2) != 0 )
<=> ( $product(a,$product(b,$product(c,d))) != 0 ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,axiom,
$product($product($product($product(d,c),a),b),2) != 0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
tff(16,plain,
$product(a,$product(b,$product(c,d))) != 0,
inference(modus_ponens,[status(thm)],[15,14]) ).
tff(17,plain,
$false,
inference(modus_ponens,[status(thm)],[16,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : ARI705_1 : TPTP v8.1.0. Released v6.3.0.
% 0.12/0.14 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.14/0.35 % Computer : n014.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 01:49:18 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.14/0.36 Usage: tptp [options] [-file:]file
% 0.14/0.36 -h, -? prints this message.
% 0.14/0.36 -smt2 print SMT-LIB2 benchmark.
% 0.14/0.36 -m, -model generate model.
% 0.14/0.36 -p, -proof generate proof.
% 0.14/0.36 -c, -core generate unsat core of named formulas.
% 0.14/0.36 -st, -statistics display statistics.
% 0.14/0.36 -t:timeout set timeout (in second).
% 0.14/0.36 -smt2status display status in smt2 format instead of SZS.
% 0.14/0.36 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.14/0.36 -<param>:<value> configuration parameter and value.
% 0.14/0.36 -o:<output-file> file to place output in.
% 0.21/0.42 % SZS status Theorem
% 0.21/0.42 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------