%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 12:08:45 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 11 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 25 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-4 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [A,B,R] :
( member(pair(A,B),trancl(R))
| ~ member(pair(A,B),R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [R,X,Y,YP] :
( member(pair(YP,diamond_strip_lemmaD_sk1(X,Y,YP,R)),trancl(R))
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [R,X,Y,YP] :
( member(pair(Y,diamond_strip_lemmaD_sk1(X,Y,YP,R)),R)
| ~ member(pair(X,YP),R)
| ~ member(pair(X,Y),trancl(R))
| ~ diamond(R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
diamond(r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
member(pair(y,ya),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
member(pair(y,yp),trancl(r)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [Z] :
( ~ member(pair(yp,Z),trancl(r))
| ~ member(pair(ya,Z),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0,X1,X2] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( member(pair(X3,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),trancl(X0))
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( member(pair(X2,diamond_strip_lemmaD_sk1(X1,X2,X3,X0)),X0)
| ~ member(pair(X1,X3),X0)
| ~ member(pair(X1,X2),trancl(X0))
| ~ diamond(X0) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f30,plain,
diamond(r),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
member(pair(y,ya),r),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f32,plain,
member(pair(y,yp),trancl(r)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f33,plain,
! [X0] :
( ~ member(pair(yp,X0),trancl(r))
| ~ member(pair(ya,X0),trancl(r)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f89,plain,
! [X0] :
( member(pair(X0,diamond_strip_lemmaD_sk1(y,yp,X0,r)),trancl(r))
| ~ member(pair(y,X0),r)
| ~ diamond(r) ),
inference(resolution,[status(thm)],[f28,f32]) ).
fof(f91,plain,
! [X0] :
( member(pair(X0,diamond_strip_lemmaD_sk1(y,yp,X0,r)),trancl(r))
| ~ member(pair(y,X0),r) ),
inference(forward_subsumption_resolution,[status(thm)],[f89,f30]) ).
fof(f104,plain,
! [X0] :
( member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X0,r)),r)
| ~ member(pair(y,X0),r)
| ~ diamond(r) ),
inference(resolution,[status(thm)],[f29,f32]) ).
fof(f106,plain,
! [X0] :
( member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X0,r)),r)
| ~ member(pair(y,X0),r) ),
inference(forward_subsumption_resolution,[status(thm)],[f104,f30]) ).
fof(f107,plain,
member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
inference(resolution,[status(thm)],[f91,f31]) ).
fof(f133,plain,
member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r),
inference(resolution,[status(thm)],[f106,f31]) ).
fof(f135,plain,
member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
inference(resolution,[status(thm)],[f133,f24]) ).
fof(f137,plain,
~ member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
inference(resolution,[status(thm)],[f135,f33]) ).
fof(f142,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f137,f107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL099-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.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 14:12:16 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.054223 seconds
% 0.09/0.42 % CPU time: 0.157751 seconds
% 0.09/0.42 % Total memory used: 44.644 MB
% 0.09/0.42 % Net memory used: 44.221 MB
%------------------------------------------------------------------------------