%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 03:15:42 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 17 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 24 ( 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X1,X] :
( p(X,X1,X2)
| ~ p(X2,X1,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X1,X,X2] :
( p(X,X1,X2)
| ~ p(X1,X,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X,X1,X2] :
( p(X,X1,X2)
| ~ p(X,X1,g(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,X1,X2] :
( p(X,X1,X2)
| ~ p(f(X),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ p(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p(f(g(a)),f(g(b)),f(g(c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1,X2] :
( p(X2,X1,X0)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1,X2] :
( p(X1,X0,X2)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( p(X0,X1,X2)
| ~ p(X0,X1,g(X2)) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] :
( p(X0,X1,X2)
| ~ p(f(X0),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f11,plain,
~ p(a,b,c),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
p(f(g(a)),f(g(b)),f(g(c))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f13,plain,
p(g(a),f(g(b)),f(g(c))),
inference(resolution,[status(thm)],[f12,f10]) ).
fof(f16,plain,
p(f(g(b)),g(a),f(g(c))),
inference(resolution,[status(thm)],[f13,f8]) ).
fof(f21,plain,
p(g(b),g(a),f(g(c))),
inference(resolution,[status(thm)],[f16,f10]) ).
fof(f25,plain,
p(f(g(c)),g(a),g(b)),
inference(resolution,[status(thm)],[f21,f7]) ).
fof(f31,plain,
p(g(c),g(a),g(b)),
inference(resolution,[status(thm)],[f25,f10]) ).
fof(f35,plain,
p(g(c),g(a),b),
inference(resolution,[status(thm)],[f31,f9]) ).
fof(f39,plain,
p(b,g(a),g(c)),
inference(resolution,[status(thm)],[f35,f7]) ).
fof(f46,plain,
p(b,g(a),c),
inference(resolution,[status(thm)],[f39,f9]) ).
fof(f49,plain,
p(g(a),b,c),
inference(resolution,[status(thm)],[f46,f8]) ).
fof(f54,plain,
p(c,b,g(a)),
inference(resolution,[status(thm)],[f49,f7]) ).
fof(f57,plain,
p(c,b,a),
inference(resolution,[status(thm)],[f54,f9]) ).
fof(f64,plain,
p(a,b,c),
inference(resolution,[status(thm)],[f57,f7]) ).
fof(f65,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f64,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN310-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:49:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.41 % Elapsed time: 0.048956 seconds
% 0.09/0.41 % CPU time: 0.146145 seconds
% 0.09/0.41 % Total memory used: 55.400 MB
% 0.09/0.41 % Net memory used: 54.822 MB
%------------------------------------------------------------------------------