%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 02:59:37 PM UTC 2026
% Result : Theorem 0.12s 0.41s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 52 ( 16 ~; 28 |; 0 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 4 ( 3 usr; 4 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(q_type,type,
q: $o ).
tff(p_type,type,
p: $o ).
tff(r_type,type,
r: $o ).
tff(1,plain,
( ~ ( ( ( p
| q )
=> ( p
| r ) )
=> ( p
| ( q
=> r ) ) )
<=> ~ ( p
| r
| ~ q
| ~ ( p
| r
| ~ ( p
| q ) ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ ( ( ( p
| q )
=> ( p
| r ) )
=> ( p
| ( q
=> r ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel5) ).
tff(3,plain,
~ ( p
| r
| ~ q
| ~ ( p
| r
| ~ ( p
| q ) ) ),
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
q,
inference(or_elim,[status(thm)],[3]) ).
tff(5,plain,
~ r,
inference(or_elim,[status(thm)],[3]) ).
tff(6,plain,
~ p,
inference(or_elim,[status(thm)],[3]) ).
tff(7,plain,
( ( p
| r
| ~ ( p
| q ) )
<=> ( p
| r
| ~ q ) ),
inference(rewrite,[status(thm)],[]) ).
tff(8,plain,
( p
| r
| ~ ( p
| q ) ),
inference(or_elim,[status(thm)],[3]) ).
tff(9,plain,
( p
| r
| ~ q ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
$false,
inference(unit_resolution,[status(thm)],[9,6,5,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL230+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : run_E %s %d THM
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 12:58:55 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.41 % SZS status Theorem
% 0.12/0.41 % SZS output start Proof
% See solution above
% 0.12/0.41 % E exiting
%------------------------------------------------------------------------------