%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN008-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n016.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 05:37:57 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 34 ( 12 ~; 18 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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(q_type,type,
q: $o ).
tff(p_type,type,
p: $o ).
tff(1,axiom,
r,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
tff(2,axiom,
~ q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
tff(3,axiom,
~ p,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
tff(4,plain,
( ( p
| ~ r
| q )
<=> ( p
| q
| ~ r ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
( ( ~ r
| p )
<=> ( p
| ~ r ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,plain,
( ( ~ r
| p
| q )
<=> ( p
| ~ r
| q ) ),
inference(monotonicity,[status(thm)],[5]) ).
tff(7,plain,
( ( ~ r
| p
| q )
<=> ( p
| q
| ~ r ) ),
inference(transitivity,[status(thm)],[6,4]) ).
tff(8,axiom,
( ~ r
| p
| q ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
tff(9,plain,
( p
| q
| ~ r ),
inference(modus_ponens,[status(thm)],[8,7]) ).
tff(10,plain,
$false,
inference(unit_resolution,[status(thm)],[9,3,2,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN008-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 20 12:26:32 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.36 % SZS status Unsatisfiable
% 0.12/0.36 % SZS output start Proof
% See solution above
% 0.12/0.36 % E exiting
%------------------------------------------------------------------------------