%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN267-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 03:15:37 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 19 ( 7 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 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 : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f26,axiom,
n0(d,c),
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(f248,axiom,
! [D] :
( ~ n2(D)
| k3(D,D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f325,axiom,
! [B,C] :
( ~ k3(B,B,C)
| p4(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X,Y] : ~ p4(X,Y,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
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(f735,plain,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f853,plain,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f924,plain,
! [X0,X1] : ~ p4(X0,X1,c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f968,plain,
! [X0] :
( p4(X0,X0,X0)
| ~ n2(X0) ),
inference(resolution,[status(thm)],[f735,f853]) ).
fof(f981,plain,
~ n2(c),
inference(resolution,[status(thm)],[f968,f924]) ).
fof(f1009,plain,
! [X0,X1] :
( n2(X1)
| ~ n0(X0,X1) ),
inference(resolution,[status(thm)],[f514,f627]) ).
fof(f1015,plain,
n2(c),
inference(resolution,[status(thm)],[f1009,f395]) ).
fof(f1018,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1015,f981]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN267-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n008.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
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 10:48:40 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.067575 seconds
% 0.12/0.43 % CPU time: 0.184034 seconds
% 0.12/0.43 % Total memory used: 70.069 MB
% 0.12/0.43 % Net memory used: 69.909 MB
%------------------------------------------------------------------------------