%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : COL098-1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 72 ( 39 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-3 aty)
% Number of variables : 48 ( 48 !; 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(f8,axiom,
! [R] : trans(trancl(R)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [R,A,B,C] :
( member(pair(A,C),R)
| ~ member(pair(B,C),R)
| ~ member(pair(A,B),R)
| ~ trans(R) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
! [X,Y,YP] :
( member(pair(Y,sk1(X,Y,YP)),r)
| ~ member(pair(X,YP),r)
| ~ member(pair(X,Y),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
! [X,Y,YP] :
( member(pair(YP,sk1(X,Y,YP)),r)
| ~ member(pair(X,YP),r)
| ~ member(pair(X,Y),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,hypothesis,
member(pair(y,z),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,hypothesis,
! [YP] :
( member(pair(YP,sk2(YP)),trancl(r))
| ~ member(pair(x,YP),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
! [YP] :
( member(pair(y,sk2(YP)),r)
| ~ member(pair(x,YP),r) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
member(pair(x,sk3),r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [ZA] :
( ~ member(pair(z,ZA),r)
| ~ member(pair(sk3,ZA),trancl(r)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1,X2] :
( member(pair(X0,X1),trancl(X2))
| ~ member(pair(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f27,plain,
! [X0] : trans(trancl(X0)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f28,plain,
! [R,A,C] :
( member(pair(A,C),R)
| ! [B] :
( ~ member(pair(B,C),R)
| ~ member(pair(A,B),R)
| ~ trans(R) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( member(pair(X1,X3),X0)
| ~ member(pair(X2,X3),X0)
| ~ member(pair(X1,X2),X0)
| ~ trans(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( member(pair(X1,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
! [X0,X1,X2] :
( member(pair(X2,sk1(X0,X1,X2)),r)
| ~ member(pair(X0,X2),r)
| ~ member(pair(X0,X1),r) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
member(pair(y,z),r),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f34,plain,
! [X0] :
( member(pair(X0,sk2(X0)),trancl(r))
| ~ member(pair(x,X0),r) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0] :
( member(pair(y,sk2(X0)),r)
| ~ member(pair(x,X0),r) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f36,plain,
member(pair(x,sk3),r),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f37,plain,
! [X0] :
( ~ member(pair(z,X0),r)
| ~ member(pair(sk3,X0),trancl(r)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f41,plain,
member(pair(sk3,sk2(sk3)),trancl(r)),
inference(resolution,[status(thm)],[f34,f36]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( member(pair(X0,X3),trancl(X2))
| ~ member(pair(X1,X3),trancl(X2))
| ~ member(pair(X0,X1),trancl(X2)) ),
inference(resolution,[status(thm)],[f29,f27]) ).
fof(f43,plain,
! [X0] :
( member(pair(X0,sk1(y,X0,z)),r)
| ~ member(pair(y,X0),r) ),
inference(resolution,[status(thm)],[f30,f33]) ).
fof(f45,plain,
! [X0] :
( member(pair(z,sk1(y,X0,z)),r)
| ~ member(pair(y,X0),r) ),
inference(resolution,[status(thm)],[f31,f33]) ).
fof(f47,plain,
member(pair(y,sk2(sk3)),r),
inference(resolution,[status(thm)],[f35,f36]) ).
fof(f56,plain,
member(pair(sk2(sk3),sk1(y,sk2(sk3),z)),r),
inference(resolution,[status(thm)],[f43,f47]) ).
fof(f58,plain,
member(pair(z,sk1(y,sk2(sk3),z)),r),
inference(resolution,[status(thm)],[f45,f47]) ).
fof(f65,plain,
! [X0,X1] :
( ~ member(pair(z,X1),r)
| ~ member(pair(X0,X1),trancl(r))
| ~ member(pair(sk3,X0),trancl(r)) ),
inference(resolution,[status(thm)],[f42,f37]) ).
fof(f72,plain,
! [X0] :
( ~ member(pair(X0,sk1(y,sk2(sk3),z)),trancl(r))
| ~ member(pair(sk3,X0),trancl(r)) ),
inference(resolution,[status(thm)],[f65,f58]) ).
fof(f75,plain,
! [X0] :
( ~ member(pair(X0,sk1(y,sk2(sk3),z)),r)
| ~ member(pair(sk3,X0),trancl(r)) ),
inference(resolution,[status(thm)],[f72,f26]) ).
fof(f79,plain,
~ member(pair(sk3,sk2(sk3)),trancl(r)),
inference(resolution,[status(thm)],[f75,f56]) ).
fof(f81,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f79,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COL098-1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n015.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 14:13:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.41 % Elapsed time: 0.043409 seconds
% 0.08/0.41 % CPU time: 0.144748 seconds
% 0.08/0.41 % Total memory used: 32.568 MB
% 0.08/0.41 % Net memory used: 32.316 MB
%------------------------------------------------------------------------------