TSTP Solution File: SYN389+1 by Z3---4.8.9.0
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%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN389+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.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 : Thu Sep 29 23:55:07 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 2 unt; 2 typ; 0 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 64 ( 26 ~; 20 |; 0 &)
% ( 12 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 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 : 4 ( 2 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(p_type,type,
p: $o ).
tff(q_type,type,
q: $o ).
tff(1,plain,
( ( $false
| $false )
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(2,plain,
( ~ $true
<=> $false ),
inference(rewrite,[status(thm)],]) ).
tff(3,plain,
( ( q
| $true )
<=> $true ),
inference(rewrite,[status(thm)],]) ).
tff(4,plain,
( ~ ( ( ( p
=> q )
=> p )
=> p )
<=> ~ ( p
| ~ ( p
| ~ ( q
| ~ p ) ) ) ),
inference(rewrite,[status(thm)],]) ).
tff(5,axiom,
~ ( ( ( p
=> q )
=> p )
=> p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel8) ).
tff(6,plain,
~ ( p
| ~ ( p
| ~ ( q
| ~ p ) ) ),
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
~ p,
inference(or_elim,[status(thm)],[6]) ).
tff(8,plain,
( ~ p
<=> $true ),
inference(iff_true,[status(thm)],[7]) ).
tff(9,plain,
( ( q
| ~ p )
<=> ( q
| $true ) ),
inference(monotonicity,[status(thm)],[8]) ).
tff(10,plain,
( ( q
| ~ p )
<=> $true ),
inference(transitivity,[status(thm)],[9,3]) ).
tff(11,plain,
( ~ ( q
| ~ p )
<=> ~ $true ),
inference(monotonicity,[status(thm)],[10]) ).
tff(12,plain,
( ~ ( q
| ~ p )
<=> $false ),
inference(transitivity,[status(thm)],[11,2]) ).
tff(13,plain,
( p
<=> $false ),
inference(iff_false,[status(thm)],[7]) ).
tff(14,plain,
( ( p
| ~ ( q
| ~ p ) )
<=> ( $false
| $false ) ),
inference(monotonicity,[status(thm)],[13,12]) ).
tff(15,plain,
( ( p
| ~ ( q
| ~ p ) )
<=> $false ),
inference(transitivity,[status(thm)],[14,1]) ).
tff(16,plain,
( p
| ~ ( q
| ~ p ) ),
inference(or_elim,[status(thm)],[6]) ).
tff(17,plain,
$false,
inference(modus_ponens,[status(thm)],[16,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN389+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n024.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 Sep 5 03:05:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.19/0.34 Usage: tptp [options] [-file:]file
% 0.19/0.34 -h, -? prints this message.
% 0.19/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.19/0.34 -m, -model generate model.
% 0.19/0.34 -p, -proof generate proof.
% 0.19/0.34 -c, -core generate unsat core of named formulas.
% 0.19/0.34 -st, -statistics display statistics.
% 0.19/0.34 -t:timeout set timeout (in second).
% 0.19/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.19/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.19/0.34 -<param>:<value> configuration parameter and value.
% 0.19/0.34 -o:<output-file> file to place output in.
% 0.19/0.38 % SZS status Theorem
% 0.19/0.38 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------