%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN978+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 05:41:06 AM UTC 2025
% Result : Theorem 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 39 ( 14 ~; 4 |; 5 &)
% ( 14 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 3 ( 2 usr; 3 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(b_type,type,
b: $o ).
tff(a_type,type,
a: $o ).
tff(1,plain,
( ~ ( a
<=> b )
<=> ~ ( a
<=> b ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,plain,
( ~ ( ( a
& b )
=> ( a
<=> b ) )
<=> ~ ( ~ ( a
& b )
| ( a
<=> b ) ) ),
inference(rewrite,[status(thm)],[]) ).
tff(3,axiom,
~ ( ( a
& b )
=> ( a
<=> b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
tff(4,plain,
~ ( ~ ( a
& b )
| ( a
<=> b ) ),
inference(modus_ponens,[status(thm)],[3,2]) ).
tff(5,plain,
~ ( a
<=> b ),
inference(or_elim,[status(thm)],[4]) ).
tff(6,plain,
~ ( a
<=> b ),
inference(modus_ponens,[status(thm)],[5,1]) ).
tff(7,plain,
~ ( a
<=> b ),
inference(modus_ponens,[status(thm)],[6,1]) ).
tff(8,plain,
~ ( a
<=> b ),
inference(modus_ponens,[status(thm)],[7,1]) ).
tff(9,plain,
( a
& b ),
inference(or_elim,[status(thm)],[4]) ).
tff(10,plain,
b,
inference(and_elim,[status(thm)],[9]) ).
tff(11,plain,
a,
inference(and_elim,[status(thm)],[9]) ).
tff(12,plain,
( ( a
<=> b )
| ~ a
| ~ b ),
inference(tautology,[status(thm)],[]) ).
tff(13,plain,
( a
<=> b ),
inference(unit_resolution,[status(thm)],[12,11,10]) ).
tff(14,plain,
$false,
inference(unit_resolution,[status(thm)],[13,8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN978+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n011.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 13:02:42 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % SZS status Theorem
% 0.12/0.37 % SZS output start Proof
% See solution above
% 0.12/0.37 % E exiting
%------------------------------------------------------------------------------