%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN243-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 03:15:33 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 9 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 24 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [B,C] :
( ~ m0(C,C,B)
| m1(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [B,C,D] :
( ~ m0(C,C,B)
| ~ l0(D)
| m1(B,C,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [H,I,J,A] :
( ~ m1(J,A,I)
| ~ m1(J,I,H)
| m1(H,I,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ m1(a,d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f416,plain,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f432,plain,
! [B,C] :
( ~ m0(C,C,B)
| ! [D] : ~ l0(D)
| m1(B,C,C) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f433,plain,
! [X0,X1,X2] :
( ~ m0(X1,X1,X0)
| ~ l0(X2)
| m1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f434,plain,
! [I,J] :
( ! [A] : ~ m1(J,A,I)
| ! [H] :
( ~ m1(J,I,H)
| m1(H,I,I) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( ~ m1(X2,X3,X1)
| ~ m1(X2,X1,X0)
| m1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f924,plain,
~ m1(a,d,d),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f966,plain,
! [X0,X1] :
( ~ m1(X0,X1,d)
| ~ m1(X0,d,a) ),
inference(resolution,[status(thm)],[f435,f924]) ).
fof(f967,plain,
! [X0] :
( ~ m0(d,d,a)
| ~ m1(a,X0,d) ),
inference(resolution,[status(thm)],[f966,f416]) ).
fof(f968,plain,
! [X0] : ~ m1(a,X0,d),
inference(forward_subsumption_resolution,[status(thm)],[f967,f388]) ).
fof(f972,plain,
! [X0] :
( ~ m0(d,d,a)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[f433,f968]) ).
fof(f974,plain,
! [X0] : ~ l0(X0),
inference(forward_subsumption_resolution,[status(thm)],[f972,f388]) ).
fof(f975,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f393,f974]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN243-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n007.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:44:51 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.36 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.070828 seconds
% 0.14/0.44 % CPU time: 0.200109 seconds
% 0.14/0.44 % Total memory used: 69.893 MB
% 0.14/0.44 % Net memory used: 69.729 MB
%------------------------------------------------------------------------------