%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : LCL230-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : run_E %s %d THM
% Computer : n027.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 02:59:38 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : Proof 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 50 ( 17 ~; 28 |; 0 &)
% ( 5 <=>; 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 : 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(r_type,type,
r: $o ).
tff(p_type,type,
p: $o ).
tff(q_type,type,
q: $o ).
tff(1,axiom,
~ r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
tff(2,axiom,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
tff(3,axiom,
q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
tff(4,plain,
( ( ~ q
| p
| r )
<=> ( ~ q
| p
| r ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
( ( ~ q
| p
| r )
<=> ( ~ q
| p
| r ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,plain,
( ( ~ q
| p )
<=> ( ~ q
| p ) ),
inference(rewrite,[status(thm)],[]) ).
tff(7,plain,
( ( ~ q
| p
| r )
<=> ( ~ q
| p
| r ) ),
inference(monotonicity,[status(thm)],[6]) ).
tff(8,plain,
( ( ~ q
| p
| r )
<=> ( ~ q
| p
| r ) ),
inference(transitivity,[status(thm)],[7,5]) ).
tff(9,axiom,
( ~ q
| p
| r ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
tff(10,plain,
( ~ q
| p
| r ),
inference(modus_ponens,[status(thm)],[9,8]) ).
tff(11,plain,
( ~ q
| p
| r ),
inference(modus_ponens,[status(thm)],[10,4]) ).
tff(12,plain,
( ~ q
| p
| r ),
inference(modus_ponens,[status(thm)],[11,4]) ).
tff(13,plain,
( ~ q
| p
| r ),
inference(modus_ponens,[status(thm)],[12,4]) ).
tff(14,plain,
$false,
inference(unit_resolution,[status(thm)],[13,3,2,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL230-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_E %s %d THM
% 0.06/0.33 % Computer : n027.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Sat Sep 5 04:34:14 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.11/0.38 % SZS status Unsatisfiable
% 0.11/0.38 % SZS output start Proof
% See solution above
% 0.11/0.38 % E exiting
%------------------------------------------------------------------------------