%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 03:15:09 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 30 ( 5 unt; 0 def)
% Number of atoms : 64 ( 40 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 66 ( 32 ~; 34 |; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( X = a
| ~ big_f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( Y = b
| ~ big_f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( big_f(X,Y)
| Y != b
| X != a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [Y,X] :
( f(X) = X
| big_f(f(X),Y)
| Y != g(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X,Z] :
( h(X,Z) = Z
| big_f(f(X),h(X,Z))
| f(X) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X,Z] :
( ~ big_f(f(X),h(X,Z))
| h(X,Z) != Z
| f(X) != X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X] :
( X = a
| ! [Y] : ~ big_f(X,Y) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f13,plain,
! [X0,X1] :
( X0 = a
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
! [Y] :
( Y = b
| ! [X] : ~ big_f(X,Y) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f15,plain,
! [X0,X1] :
( X1 = b
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( big_f(X0,X1)
| X1 != b
| X0 != a ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f25,plain,
! [X] :
( f(X) = X
| ! [Y] :
( big_f(f(X),Y)
| Y != g(X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f26,plain,
! [X0,X1] :
( f(X1) = X1
| big_f(f(X1),X0)
| X0 != g(X1) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f29,plain,
! [X0,X1] :
( h(X0,X1) = X1
| big_f(f(X0),h(X0,X1))
| f(X0) != X0 ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f30,plain,
! [X0,X1] :
( ~ big_f(f(X0),h(X0,X1))
| h(X0,X1) != X1
| f(X0) != X0 ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f31,plain,
big_f(a,b),
inference(destructive_equality_resolution,[status(thm)],[f16]) ).
fof(f33,plain,
! [X0] :
( f(X0) = X0
| big_f(f(X0),g(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f26]) ).
fof(f40,plain,
! [X0] :
( f(X0) = X0
| f(X0) = a ),
inference(resolution,[status(thm)],[f13,f33]) ).
fof(f46,plain,
! [X0] :
( h(a,X0) = X0
| big_f(f(a),h(a,X0)) ),
inference(resolution,[status(thm)],[f40,f29]) ).
fof(f54,plain,
! [X0] :
( f(X0) = X0
| a != X0 ),
inference(equality_factoring,[status(thm)],[f40]) ).
fof(f63,plain,
f(a) = a,
inference(destructive_equality_resolution,[status(thm)],[f54]) ).
fof(f84,plain,
! [X0] :
( h(a,X0) = b
| h(a,X0) = X0 ),
inference(resolution,[status(thm)],[f46,f15]) ).
fof(f198,plain,
! [X0] :
( h(a,X0) = b
| X0 != b ),
inference(equality_factoring,[status(thm)],[f84]) ).
fof(f232,plain,
h(a,b) = b,
inference(destructive_equality_resolution,[status(thm)],[f198]) ).
fof(f235,plain,
( ~ big_f(f(a),h(a,b))
| f(a) != a ),
inference(resolution,[status(thm)],[f232,f30]) ).
fof(f257,plain,
( ~ big_f(f(a),h(a,b))
| a != a ),
inference(forward_demodulation,[status(thm)],[f63,f235]) ).
fof(f258,plain,
( ~ big_f(a,h(a,b))
| a != a ),
inference(forward_demodulation,[status(thm)],[f63,f257]) ).
fof(f259,plain,
( ~ big_f(a,b)
| a != a ),
inference(forward_demodulation,[status(thm)],[f232,f258]) ).
fof(f260,plain,
~ big_f(a,b),
inference(trivial_equality_resolution,[status(thm)],[f259]) ).
fof(f261,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f260,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN074-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n004.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:42:09 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.051119 seconds
% 0.13/0.42 % CPU time: 0.159280 seconds
% 0.13/0.42 % Total memory used: 80.528 MB
% 0.13/0.42 % Net memory used: 80.010 MB
%------------------------------------------------------------------------------