%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CAT019-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:00:25 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 4 ~; 3 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 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 : 5 ( 5 !; 0 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
tff(c1_type,type,
c1: $i ).
tff(c2_type,type,
c2: $i ).
tff(1,axiom,
c2 != c1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c1_equals_c2) ).
tff(2,plain,
( ! [Z: $i] : ( c2 = c1 )
<=> ( c2 = c1 ) ),
inference(elim_unused_vars,[status(thm)],[]) ).
tff(3,plain,
( ! [Z: $i] :
( ( c2 = Z )
| ( c1 != Z ) )
<=> ! [Z: $i] : ( c2 = c1 ) ),
inference(destructive_equality_resolution,[status(thm)],[]) ).
tff(4,plain,
( ! [Z: $i] :
( ( c2 = Z )
| ( c1 != Z ) )
<=> ( c2 = c1 ) ),
inference(transitivity,[status(thm)],[3,2]) ).
tff(5,axiom,
! [Z: $i] :
( ( c2 = Z )
| ( c1 != Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equality_to_c1_and_c2_2) ).
tff(6,plain,
c2 = c1,
inference(modus_ponens,[status(thm)],[5,4]) ).
tff(7,plain,
$false,
inference(unit_resolution,[status(thm)],[6,1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : CAT019-2 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n001.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 11:57:18 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % SZS status Unsatisfiable
% 0.12/0.36 % SZS output start Proof
% See solution above
% 0.12/0.37 % E exiting
%------------------------------------------------------------------------------