%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN389+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.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 : Sat Jun 21 05:38:57 AM UTC 2025
% Result : Theorem 0.11s 0.35s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 33 ( 15 ~; 10 |; 0 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 3 ( 2 usr; 3 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,
( ( p
| ~ ( q
| ~ p ) )
<=> p ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ~ ( ( ( p
=> q )
=> p )
=> p )
<=> ~ ( p
| ~ ( p
| ~ ( q
| ~ p ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
~ ( ( ( p
=> q )
=> p )
=> p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel8) ).
tff(4,plain,
~ ( p
| ~ ( p
| ~ ( q
| ~ p ) ) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
( p
| ~ ( q
| ~ p ) ),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
p,
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,plain,
~ p,
inference(or_elim,[status(thm)],[4]) ).
tff(8,plain,
$false,
inference(unit_resolution,[status(thm)],[7,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN389+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 20 12:32:53 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.35 % SZS status Theorem
% 0.11/0.35 % SZS output start Proof
% See solution above
% 0.11/0.35 % E exiting
%------------------------------------------------------------------------------