%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SCT061-1 : TPTP v9.0.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 05:24:25 AM UTC 2025
% Result : Unsatisfiable 0.45s 0.60s
% Output : Proof 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 8 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 0 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(v_b_____type,type,
v_b____: $i ).
tff(v_a_____type,type,
v_a____: $i ).
tff(1,plain,
( ( v_b____ = v_a____ )
<=> ( v_b____ = v_a____ ) ),
inference(rewrite,[status(thm)],[]) ).
tff(2,axiom,
v_b____ = v_a____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
tff(3,plain,
v_b____ = v_a____,
inference(modus_ponens,[status(thm)],[2,1]) ).
tff(4,plain,
v_a____ = v_b____,
inference(symmetry,[status(thm)],[3]) ).
tff(5,plain,
( ( v_a____ != v_b____ )
<=> ( v_a____ != v_b____ ) ),
inference(rewrite,[status(thm)],[]) ).
tff(6,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A_I1_J_0) ).
tff(7,plain,
v_a____ != v_b____,
inference(modus_ponens,[status(thm)],[6,5]) ).
tff(8,plain,
$false,
inference(unit_resolution,[status(thm)],[7,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT061-1 : TPTP v9.0.0. Released v4.1.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 03:42:41 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.45/0.60 % SZS status Unsatisfiable
% 0.45/0.60 % SZS output start Proof
% See solution above
% 0.45/0.61 % E exiting
%------------------------------------------------------------------------------