%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : ITP227_1 : TPTP v9.0.0. Released v8.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n009.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 05:12:08 AM UTC 2025
% Result : Theorem 3.52s 3.71s
% Output : Proof 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 37 ( 36 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 34 ~; 7 |; 7 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(ma_type,type,
ma: nat ).
tff(xa_type,type,
xa: nat ).
tff(mi_type,type,
mi: nat ).
tff(1,plain,
( ( xa != ma )
<=> ( xa != ma ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
~ ( ( xa = mi )
| ( xa = ma ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_False) ).
tff(3,plain,
xa != ma,
inference(or_elim,[status(thm)],[2]) ).
tff(4,plain,
xa != ma,
inference(modus_ponens,[status(thm)],[3,1]) ).
tff(5,plain,
( ( xa != mi )
<=> ( xa != mi ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,plain,
xa != mi,
inference(or_elim,[status(thm)],[2]) ).
tff(7,plain,
xa != mi,
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
( ~ ~ ( ( xa = mi )
| ( xa = ma ) )
<=> ( ( xa = mi )
| ( xa = ma ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(9,plain,
( ( ( xa != mi )
& ( xa != ma ) )
<=> ~ ( ( xa = mi )
| ( xa = ma ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(10,plain,
( ~ ( ( xa != mi )
& ( xa != ma ) )
<=> ~ ~ ( ( xa = mi )
| ( xa = ma ) ) ),
inference(monotonicity,[status(thm)],[9]) ).
tff(11,plain,
( ~ ( ( xa != mi )
& ( xa != ma ) )
<=> ( ( xa = mi )
| ( xa = ma ) ) ),
inference(transitivity,[status(thm)],[10,8]) ).
tff(12,plain,
( ~ ( ( xa != mi )
& ( xa != ma ) )
<=> ~ ( ( xa != mi )
& ( xa != ma ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(13,axiom,
~ ( ( xa != mi )
& ( xa != ma ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(14,plain,
~ ( ( xa != mi )
& ( xa != ma ) ),
inference(modus_ponens,[status(thm)],[13,12]) ).
tff(15,plain,
( ( xa = mi )
| ( xa = ma ) ),
inference(modus_ponens,[status(thm)],[14,11]) ).
tff(16,plain,
$false,
inference(unit_resolution,[status(thm)],[15,7,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ITP227_1 : TPTP v9.0.0. Released v8.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n009.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 : Thu Jun 19 18:32:18 EDT 2025
% 0.12/0.33 % CPUTime :
% 3.52/3.71 % SZS status Theorem
% 3.52/3.71 % SZS output start Proof
% See solution above
% 3.57/3.75 % E exiting
%------------------------------------------------------------------------------