%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN268-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 03:15:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 20 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [G,H] :
( ~ n0(H,G)
| p1(G,G,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f329,axiom,
! [I,J] :
( ~ p3(J,J,I)
| p4(I,I,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X,Y] : ~ p4(a,X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f513,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| p1(G,G,G) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f514,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f626,plain,
! [A] :
( ! [B,C] : ~ p1(B,C,A)
| n2(A) ),
inference(miniscoping,[status(thm)],[f175]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f784,plain,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f860,plain,
! [I] :
( ! [J] : ~ p3(J,J,I)
| p4(I,I,I) ),
inference(miniscoping,[status(thm)],[f329]) ).
fof(f861,plain,
! [X0,X1] :
( ~ p3(X1,X1,X0)
| p4(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f860]) ).
fof(f924,plain,
! [X0,X1] : ~ p4(a,X0,X1),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f960,plain,
! [X0,X1] :
( n2(X1)
| ~ n0(X0,X1) ),
inference(resolution,[status(thm)],[f514,f627]) ).
fof(f961,plain,
n2(a),
inference(resolution,[status(thm)],[f960,f406]) ).
fof(f969,plain,
p3(a,a,a),
inference(resolution,[status(thm)],[f961,f784]) ).
fof(f981,plain,
p4(a,a,a),
inference(resolution,[status(thm)],[f969,f861]) ).
fof(f982,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f981,f924]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN268-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n011.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % 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 10:47:55 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % 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
% 0.13/0.41 % Elapsed time: 0.060460 seconds
% 0.13/0.41 % CPU time: 0.160878 seconds
% 0.13/0.41 % Total memory used: 60.733 MB
% 0.13/0.41 % Net memory used: 60.587 MB
%------------------------------------------------------------------------------