%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN077-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 7
% Syntax : Number of formulae : 40 ( 6 unt; 0 def)
% Number of atoms : 99 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 102 ( 43 ~; 59 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( X = Y
| ~ big_f(X,f(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( big_f(X,f(Y))
| X != Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,Y] :
( big_f(g(X,Y),Y)
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,Y,Z] :
( ~ big_f(Z,Y)
| ~ big_f(Z,g(X,Y))
| ~ big_f(X,Y)
| ~ big_f(X,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X] :
( big_f(X,a)
| big_f(X,h(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X,Y] :
( big_f(Y,a)
| big_f(i(Y,X),X)
| ~ big_f(X,h(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X,Y] :
( ~ big_f(Y,h(X))
| big_f(i(X,Y),h(X))
| big_f(X,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [X0,X1] :
( X0 = X1
| ~ big_f(X0,f(X1)) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
! [X0,X1] :
( big_f(X0,f(X1))
| X0 != X1 ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1] :
( big_f(g(X0,X1),X1)
| ~ big_f(X0,X1)
| ~ big_f(X0,a) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [Y,Z] :
( ~ big_f(Z,Y)
| ! [X] :
( ~ big_f(Z,g(X,Y))
| ~ big_f(X,Y)
| ~ big_f(X,a) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ big_f(X2,X1)
| ~ big_f(X2,g(X0,X1))
| ~ big_f(X0,X1)
| ~ big_f(X0,a) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f13,plain,
! [X0] :
( big_f(X0,a)
| big_f(X0,h(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [Y] :
( big_f(Y,a)
| ! [X] :
( big_f(i(Y,X),X)
| ~ big_f(X,h(Y)) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f15,plain,
! [X0,X1] :
( big_f(X1,a)
| big_f(i(X1,X0),X0)
| ~ big_f(X0,h(X1)) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( ~ big_f(X1,h(X0))
| big_f(i(X0,X1),h(X0))
| big_f(X0,a) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
! [X0] : big_f(X0,f(X0)),
inference(destructive_equality_resolution,[status(thm)],[f9]) ).
fof(f18,plain,
! [X0] :
( big_f(X0,a)
| big_f(X0,a)
| big_f(i(X0,X0),X0) ),
inference(resolution,[status(thm)],[f15,f13]) ).
fof(f19,plain,
! [X0] :
( big_f(X0,a)
| big_f(i(X0,X0),X0) ),
inference(duplicate_literals_removal,[status(thm)],[f18]) ).
fof(f21,plain,
! [X0] :
( big_f(g(i(a,a),X0),X0)
| ~ big_f(i(a,a),X0)
| big_f(a,a) ),
inference(resolution,[status(thm)],[f19,f10]) ).
fof(f24,plain,
! [X0] :
( big_f(X0,a)
| big_f(i(X0,X0),h(X0))
| big_f(X0,a) ),
inference(resolution,[status(thm)],[f16,f13]) ).
fof(f25,plain,
! [X0] :
( big_f(i(X0,X0),h(X0))
| big_f(X0,a) ),
inference(duplicate_literals_removal,[status(thm)],[f24]) ).
fof(f46,plain,
( big_f(a,a)
| big_f(g(i(a,a),h(a)),h(a))
| big_f(a,a) ),
inference(resolution,[status(thm)],[f21,f25]) ).
fof(f49,plain,
( big_f(g(i(a,a),h(a)),h(a))
| big_f(a,a) ),
inference(duplicate_literals_removal,[status(thm)],[f46]) ).
fof(f52,plain,
( big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a)
| big_f(a,a) ),
inference(resolution,[status(thm)],[f49,f16]) ).
fof(f53,plain,
( big_f(a,a)
| big_f(i(a,g(i(a,a),h(a))),g(i(a,a),h(a)))
| big_f(a,a) ),
inference(resolution,[status(thm)],[f49,f15]) ).
fof(f54,plain,
( big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a) ),
inference(duplicate_literals_removal,[status(thm)],[f52]) ).
fof(f55,plain,
( big_f(i(a,g(i(a,a),h(a))),g(i(a,a),h(a)))
| big_f(a,a) ),
inference(duplicate_literals_removal,[status(thm)],[f53]) ).
fof(f116,plain,
( ~ big_f(i(a,g(i(a,a),h(a))),h(a))
| ~ big_f(i(a,a),h(a))
| ~ big_f(i(a,a),a)
| big_f(a,a) ),
inference(resolution,[status(thm)],[f55,f12]) ).
fof(f117,plain,
( ~ big_f(i(a,g(i(a,a),h(a))),h(a))
| ~ big_f(i(a,a),h(a))
| big_f(a,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f19]) ).
fof(f166,plain,
big_f(a,a),
inference(backward_subsumption_resolution,[status(thm)],[f54,f167]) ).
fof(f167,plain,
( ~ big_f(i(a,g(i(a,a),h(a))),h(a))
| big_f(a,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f25]) ).
fof(f169,plain,
! [X0] :
( big_f(g(a,X0),X0)
| ~ big_f(a,X0) ),
inference(resolution,[status(thm)],[f166,f10]) ).
fof(f171,plain,
big_f(g(a,f(a)),f(a)),
inference(resolution,[status(thm)],[f169,f17]) ).
fof(f174,plain,
g(a,f(a)) = a,
inference(resolution,[status(thm)],[f171,f8]) ).
fof(f179,plain,
! [X0] :
( ~ big_f(X0,f(a))
| ~ big_f(X0,a)
| ~ big_f(a,f(a))
| ~ big_f(a,a) ),
inference(paramodulation,[status(thm)],[f174,f12]) ).
fof(f182,plain,
! [X0] :
( ~ big_f(X0,f(a))
| ~ big_f(X0,a)
| ~ big_f(a,f(a)) ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f166]) ).
fof(f183,plain,
! [X0] :
( ~ big_f(X0,f(a))
| ~ big_f(X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f17]) ).
fof(f185,plain,
~ big_f(a,a),
inference(resolution,[status(thm)],[f183,f17]) ).
fof(f186,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f185,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN077-1 : 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 : n011.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 10:42:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.45 % Elapsed time: 0.076246 seconds
% 0.14/0.45 % CPU time: 0.233254 seconds
% 0.14/0.45 % Total memory used: 81.061 MB
% 0.14/0.45 % Net memory used: 80.439 MB
%------------------------------------------------------------------------------