%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN334-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 03:15:47 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.32s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 3 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 62 ( 31 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,Y] :
( ~ g(Y,z(X,Y))
| f(X,z(X,Y))
| ~ f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y] :
( g(Y,z(X,Y))
| ~ f(X,z(X,Y))
| ~ f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( ~ f(X,Y)
| g(z(X,Y),z(X,Y))
| ~ f(z(X,Y),z(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] :
( f(X,Y)
| ~ g(z(X,Y),z(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,Y] :
( g(z(X,Y),z(X,Y))
| g(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,Y] :
( ~ g(z(X,Y),z(X,Y))
| ~ g(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] :
( ~ g(X1,z(X0,X1))
| f(X0,z(X0,X1))
| ~ f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( g(X1,z(X0,X1))
| ~ f(X0,z(X0,X1))
| ~ f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( ~ f(X0,X1)
| g(z(X0,X1),z(X0,X1))
| ~ f(z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1] :
( f(X0,X1)
| ~ g(z(X0,X1),z(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( g(z(X0,X1),z(X0,X1))
| g(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( ~ g(z(X0,X1),z(X0,X1))
| ~ g(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f15,plain,
! [X0,X1] :
( f(X0,X1)
| g(X0,X1) ),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f17,plain,
! [X0,X1] :
( f(X1,z(X1,X0))
| ~ f(X1,X0)
| f(X0,z(X1,X0)) ),
inference(resolution,[status(thm)],[f15,f8]) ).
fof(f19,plain,
! [X0,X1] :
( f(z(X0,X1),z(X0,X1))
| ~ g(X0,X1) ),
inference(resolution,[status(thm)],[f14,f15]) ).
fof(f20,plain,
! [X0,X1] :
( ~ g(X0,X1)
| f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(resolution,[status(thm)],[f17,f19]) ).
fof(f22,plain,
! [X0,X1] :
( ~ g(X0,X1)
| f(z(X0,X1),z(z(X0,X1),z(X0,X1))) ),
inference(duplicate_literals_removal,[status(thm)],[f20]) ).
fof(f24,plain,
! [X0,X1] :
( g(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| ~ f(z(X0,X1),z(X0,X1))
| ~ g(X0,X1) ),
inference(resolution,[status(thm)],[f22,f9]) ).
fof(f26,plain,
! [X0,X1] :
( g(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| ~ g(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f19]) ).
fof(f27,plain,
! [X0,X1] :
( ~ f(X0,X1)
| g(z(X0,X1),z(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f10,f15]) ).
fof(f28,plain,
! [X0,X1] :
( ~ g(X0,X1)
| ~ f(X0,X1) ),
inference(resolution,[status(thm)],[f27,f14]) ).
fof(f41,plain,
! [X0,X1] :
( ~ f(z(X0,X1),z(z(X0,X1),z(X0,X1)))
| ~ g(X0,X1) ),
inference(resolution,[status(thm)],[f26,f28]) ).
fof(f42,plain,
! [X0,X1] : ~ g(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f41,f22]) ).
fof(f45,plain,
! [X0,X1] : g(z(X0,X1),z(X0,X1)),
inference(backward_subsumption_resolution,[status(thm)],[f13,f42]) ).
fof(f48,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f45,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN334-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 10:49:37 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.04/0.32 % Refutation found
% 0.04/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.04/0.33 % Elapsed time: 0.020699 seconds
% 0.04/0.33 % CPU time: 0.032461 seconds
% 0.04/0.33 % Total memory used: 3.169 MB
% 0.04/0.33 % Net memory used: 3.131 MB
%------------------------------------------------------------------------------