%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 03:14:55 PM UTC 2026
% Result : Unsatisfiable 0.08s 5.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 28 ( 3 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 79 ( 43 ~; 36 |; 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] :
( big_g(Y,g(X,Y))
| ~ big_f(X,g(X,Y))
| ~ big_f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X,Y] :
( ~ big_g(Y,g(X,Y))
| big_f(X,g(X,Y))
| ~ big_f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( big_g(g(X,Y),g(X,Y))
| ~ big_f(g(X,Y),g(X,Y))
| ~ big_f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Y] :
( big_f(g(X,Y),g(X,Y))
| big_f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,Y] :
( ~ big_g(g(X,Y),g(X,Y))
| big_f(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,Y] :
( big_g(g(X,Y),g(X,Y))
| big_g(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,Y] :
( ~ big_g(g(X,Y),g(X,Y))
| ~ big_g(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] :
( big_g(X1,g(X0,X1))
| ~ big_f(X0,g(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( ~ big_g(X1,g(X0,X1))
| big_f(X0,g(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( big_g(g(X0,X1),g(X0,X1))
| ~ big_f(g(X0,X1),g(X0,X1))
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1] :
( big_f(g(X0,X1),g(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1] :
( ~ big_g(g(X0,X1),g(X0,X1))
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1] :
( big_g(g(X0,X1),g(X0,X1))
| big_g(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f14,plain,
! [X0,X1] :
( ~ big_g(g(X0,X1),g(X0,X1))
| ~ big_g(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f16,plain,
! [X0,X1] :
( ~ big_g(X0,X1)
| ~ big_f(g(X0,X1),g(X0,X1))
| ~ big_f(X0,X1) ),
inference(resolution,[status(thm)],[f10,f14]) ).
fof(f18,plain,
! [X0,X1] :
( ~ big_g(g(g(X0,X1),g(X0,X1)),g(g(X0,X1),g(X0,X1)))
| ~ big_g(X0,X1)
| ~ big_f(X0,X1) ),
inference(resolution,[status(thm)],[f16,f12]) ).
fof(f20,plain,
! [X0,X1] :
( big_g(g(X0,X1),g(X0,X1))
| ~ big_g(X0,X1)
| ~ big_f(X0,X1) ),
inference(resolution,[status(thm)],[f18,f13]) ).
fof(f21,plain,
! [X0,X1] :
( big_g(g(X0,X1),g(X0,X1))
| ~ big_f(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f20,f13]) ).
fof(f23,plain,
! [X0,X1] :
( ~ big_g(X0,X1)
| ~ big_f(X0,X1) ),
inference(resolution,[status(thm)],[f21,f14]) ).
fof(f25,plain,
! [X0,X1] :
( ~ big_g(X1,g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_g(X0,g(X0,X1)) ),
inference(resolution,[status(thm)],[f23,f9]) ).
fof(f27,plain,
! [X0] :
( ~ big_f(X0,g(X0,X0))
| ~ big_f(X0,X0)
| ~ big_f(X0,X0) ),
inference(resolution,[status(thm)],[f25,f8]) ).
fof(f30,plain,
! [X0] :
( ~ big_f(X0,X0)
| ~ big_g(X0,g(X0,X0)) ),
inference(factoring,[status(thm)],[f25]) ).
fof(f31,plain,
! [X0] :
( ~ big_f(X0,g(X0,X0))
| ~ big_f(X0,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f27]) ).
fof(f35,plain,
! [X0] :
( ~ big_g(g(X0,g(X0,X0)),g(X0,g(X0,X0)))
| ~ big_f(X0,X0) ),
inference(resolution,[status(thm)],[f31,f12]) ).
fof(f40,plain,
! [X0] :
( big_g(X0,g(X0,X0))
| ~ big_f(X0,X0) ),
inference(resolution,[status(thm)],[f35,f13]) ).
fof(f41,plain,
! [X0] : ~ big_f(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f40,f30]) ).
fof(f42,plain,
! [X0,X1] : big_f(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f11,f41]) ).
fof(f48,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f41,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN012-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.35 % Computer : n020.cluster.edu
% 0.08/5.35 % Model : x86_64 x86_64
% 0.08/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.35 % Memory : 8046.5625MB
% 0.08/5.35 % OS : Linux 6.8.0-71-generic
% 0.08/5.35 % CPULimit : 300
% 0.08/5.35 % WCLimit : 300
% 0.08/5.35 % DateTime : Mon Sep 21 10:40:22 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.36 % Drodi V4.1.1
% 0.08/5.39 % Refutation found
% 0.08/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.42 % Elapsed time: 0.047037 seconds
% 0.13/5.42 % CPU time: 0.130912 seconds
% 0.13/5.42 % Total memory used: 16.804 MB
% 0.13/5.42 % Net memory used: 16.339 MB
%------------------------------------------------------------------------------