%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN089-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:38:13 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 42 ( 21 ~; 19 |; 0 &)
% ( 2 <=>; 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(p_1_1_type,type,
p_1_1: $o ).
tff(p_2_2_type,type,
p_2_2: $o ).
tff(p_1_2_type,type,
p_1_2: $o ).
tff(1,axiom,
p_1_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_1) ).
tff(2,axiom,
p_2_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_3) ).
tff(3,axiom,
~ p_1_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_goal_1) ).
tff(4,plain,
( ( p_1_2
| ~ p_2_2
| ~ p_1_1 )
<=> ( p_1_2
| ~ p_2_2
| ~ p_1_1 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(5,plain,
( ( p_1_2
| ~ p_2_2
| ~ p_1_1 )
<=> ( p_1_2
| ~ p_2_2
| ~ p_1_1 ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,axiom,
( p_1_2
| ~ p_2_2
| ~ p_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s2_type11_1) ).
tff(7,plain,
( p_1_2
| ~ p_2_2
| ~ p_1_1 ),
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
( p_1_2
| ~ p_2_2
| ~ p_1_1 ),
inference(modus_ponens,[status(thm)],[7,4]) ).
tff(9,plain,
( p_1_2
| ~ p_2_2
| ~ p_1_1 ),
inference(modus_ponens,[status(thm)],[8,4]) ).
tff(10,plain,
( p_1_2
| ~ p_2_2
| ~ p_1_1 ),
inference(modus_ponens,[status(thm)],[9,4]) ).
tff(11,plain,
( ~ p_2_2
| ~ p_1_1 ),
inference(unit_resolution,[status(thm)],[10,3]) ).
tff(12,plain,
$false,
inference(unit_resolution,[status(thm)],[11,2,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN089-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.10/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n014.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 12:27:54 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
%------------------------------------------------------------------------------