%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT019-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:07:32 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 6 unt; 0 def)
% Number of atoms : 46 ( 31 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 39 ( 14 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X,Y] :
( X = Y
| there_exists(f1(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( X = Y
| Y = f1(X,Y)
| X = f1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
! [Z] :
( b = Z
| a != Z
| ~ there_exists(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
! [Z] :
( b != Z
| a = Z
| ~ there_exists(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
a != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,plain,
! [X0,X1] :
( X0 = X1
| there_exists(f1(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f40,plain,
! [X0,X1] :
( X0 = X1
| X1 = f1(X0,X1)
| X0 = f1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f42,plain,
! [X0] :
( b = X0
| a != X0
| ~ there_exists(X0) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f43,plain,
! [X0] :
( b != X0
| a = X0
| ~ there_exists(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f44,plain,
a != b,
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f48,plain,
( b = a
| ~ there_exists(a) ),
inference(destructive_equality_resolution,[status(thm)],[f42]) ).
fof(f49,plain,
( a = b
| ~ there_exists(b) ),
inference(destructive_equality_resolution,[status(thm)],[f43]) ).
fof(f50,plain,
~ there_exists(a),
inference(forward_subsumption_resolution,[status(thm)],[f48,f44]) ).
fof(f51,plain,
~ there_exists(b),
inference(forward_subsumption_resolution,[status(thm)],[f49,f44]) ).
fof(f82,plain,
! [X0,X1] :
( X1 = X0
| X1 = f1(X1,X0)
| X1 = X0
| there_exists(X0) ),
inference(paramodulation,[status(thm)],[f40,f39]) ).
fof(f84,plain,
! [X0,X1] :
( X1 = f1(X1,X0)
| X1 = X0
| there_exists(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f82]) ).
fof(f90,plain,
! [X0] :
( X0 = f1(X0,b)
| X0 = b ),
inference(resolution,[status(thm)],[f84,f51]) ).
fof(f95,plain,
! [X0] :
( X0 = b
| X0 = b
| there_exists(X0) ),
inference(paramodulation,[status(thm)],[f90,f39]) ).
fof(f98,plain,
! [X0] :
( X0 = b
| there_exists(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f95]) ).
fof(f105,plain,
a = b,
inference(resolution,[status(thm)],[f98,f50]) ).
fof(f107,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f105,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT019-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 14:01:08 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.032533 seconds
% 0.13/0.40 % CPU time: 0.071336 seconds
% 0.13/0.40 % Total memory used: 9.617 MB
% 0.13/0.40 % Net memory used: 9.590 MB
%------------------------------------------------------------------------------