TSTP Solution File: GRP137-1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : GRP137-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n026.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 : Fri Sep 16 22:26:20 EDT 2022
% Result : Unsatisfiable 0.13s 0.39s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 18 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 24 ( 17 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 8 ~; 0 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(b_type,type,
b: $i ).
tff(a_type,type,
a: $i ).
tff(greatest_lower_bound_type,type,
greatest_lower_bound: ( $i * $i ) > $i ).
tff(1,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ( b = b )
<=> $true ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
( ( greatest_lower_bound(a,b) = b )
<=> ( a = b ) ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ( greatest_lower_bound(a,b) = b )
<=> ( greatest_lower_bound(a,b) = b ) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
greatest_lower_bound(a,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_antisymb_2) ).
tff(6,plain,
greatest_lower_bound(a,b) = b,
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
a = b,
inference(modus_ponens,[status(thm)],[6,3]) ).
tff(8,plain,
( ( a = b )
<=> ( b = b ) ),
inference(monotonicity,[status(thm)],[7]) ).
tff(9,plain,
( ( a = b )
<=> $true ),
inference(transitivity,[status(thm)],[8,2]) ).
tff(10,plain,
( ( a != b )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
( ( a != b )
<=> $false ),
inference(transitivity,[status(thm)],[10,1]) ).
tff(12,plain,
( ( a != b )
<=> ( a != b ) ),
inference(rewrite,[status(thm)],]) ).
tff(13,axiom,
a != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ax_antisymb) ).
tff(14,plain,
a != b,
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
$false,
inference(modus_ponens,[status(thm)],[14,11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP137-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n026.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 : Wed Aug 31 15:24:51 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.
% 0.13/0.39 % SZS status Unsatisfiable
% 0.13/0.39 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------