TSTP Solution File: LCL230-2 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : LCL230-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : Sun Sep 18 04:55:32 EDT 2022
% Result : Unsatisfiable 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 24 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 67 ( 21 ~; 32 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 5 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(r_type,type,
r: $o ).
tff(p_type,type,
p: $o ).
tff(q_type,type,
q: $o ).
tff(1,plain,
( ( $false
| $false
| $false )
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,axiom,
~ r,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
tff(3,plain,
( r
<=> $false ),
inference(iff_false,[status(thm)],[2]) ).
tff(4,axiom,
~ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
tff(5,plain,
( p
<=> $false ),
inference(iff_false,[status(thm)],[4]) ).
tff(6,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(7,axiom,
q,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
tff(8,plain,
( q
<=> $true ),
inference(iff_true,[status(thm)],[7]) ).
tff(9,plain,
( ~ q
<=> ~ $true ),
inference(monotonicity,[status(thm)],[8]) ).
tff(10,plain,
( ~ q
<=> $false ),
inference(transitivity,[status(thm)],[9,6]) ).
tff(11,plain,
( ( ~ q
| p
| r )
<=> ( $false
| $false
| $false ) ),
inference(monotonicity,[status(thm)],[10,5,3]) ).
tff(12,plain,
( ( ~ q
| p
| r )
<=> $false ),
inference(transitivity,[status(thm)],[11,1]) ).
tff(13,plain,
( ( ~ q
| p
| r )
<=> ( ~ q
| p
| r ) ),
inference(rewrite,[status(thm)],]) ).
tff(14,plain,
( ( ~ q
| p
| r )
<=> ( ~ q
| p
| r ) ),
inference(rewrite,[status(thm)],]) ).
tff(15,plain,
( ( ~ q
| p )
<=> ( ~ q
| p ) ),
inference(rewrite,[status(thm)],]) ).
tff(16,plain,
( ( ~ q
| p
| r )
<=> ( ~ q
| p
| r ) ),
inference(monotonicity,[status(thm)],[15]) ).
tff(17,plain,
( ( ~ q
| p
| r )
<=> ( ~ q
| p
| r ) ),
inference(transitivity,[status(thm)],[16,14]) ).
tff(18,axiom,
( ~ q
| p
| r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
tff(19,plain,
( ~ q
| p
| r ),
inference(modus_ponens,[status(thm)],[18,17]) ).
tff(20,plain,
( ~ q
| p
| r ),
inference(modus_ponens,[status(thm)],[19,13]) ).
tff(21,plain,
$false,
inference(modus_ponens,[status(thm)],[20,12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL230-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Sep 1 19:24:36 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.33 Usage: tptp [options] [-file:]file
% 0.13/0.33 -h, -? prints this message.
% 0.13/0.33 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.33 -m, -model generate model.
% 0.13/0.33 -p, -proof generate proof.
% 0.13/0.33 -c, -core generate unsat core of named formulas.
% 0.13/0.33 -st, -statistics display statistics.
% 0.13/0.33 -t:timeout set timeout (in second).
% 0.13/0.33 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.33 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.33 -<param>:<value> configuration parameter and value.
% 0.13/0.33 -o:<output-file> file to place output in.
% 0.13/0.37 % SZS status Unsatisfiable
% 0.13/0.37 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------