%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN179-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 03:15:24 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 18 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 115 ( 62 ~; 53 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X] : m0(a,X,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f113,axiom,
( ~ p0(b,a)
| p1(a,a,a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f120,axiom,
! [H,I,J,A] :
( ~ p1(J,H,A)
| ~ m0(J,H,A)
| p1(H,I,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f183,axiom,
! [G,H] :
( ~ p1(G,H,e)
| ~ r0(e)
| p2(e,G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f224,axiom,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f293,axiom,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f294,axiom,
! [E,F] :
( ~ q3(F,E)
| ~ p2(F,E,E)
| q3(E,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X] : ~ q3(d,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f381,plain,
! [X0] : m0(a,X0,a),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f382,plain,
r0(e),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f412,plain,
! [C,D,E] :
( ~ m0(D,C,E)
| ! [F] : ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f413,plain,
! [X0,X1,X2,X3] :
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f528,plain,
( ~ p0(b,a)
| p1(a,a,a) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f538,plain,
! [H,J,A] :
( ~ p1(J,H,A)
| ~ m0(J,H,A)
| ! [I] : p1(H,I,J) ),
inference(miniscoping,[status(thm)],[f120]) ).
fof(f539,plain,
! [X0,X1,X2,X3] :
( ~ p1(X2,X0,X3)
| ~ m0(X2,X0,X3)
| p1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f538]) ).
fof(f638,plain,
! [X0,X1] :
( ~ p1(X0,X1,e)
| ~ r0(e)
| p2(e,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f801,plain,
! [G,I] :
( ~ n0(I,G)
| ! [H] :
( ~ q2(I,G,H)
| q3(G,H) ) ),
inference(miniscoping,[status(thm)],[f293]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f803,plain,
! [X0,X1] :
( ~ q3(X1,X0)
| ~ p2(X1,X0,X0)
| q3(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f924,plain,
! [X0] : ~ q3(d,X0),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f942,plain,
p1(a,a,a),
inference(forward_subsumption_resolution,[status(thm)],[f528,f383]) ).
fof(f956,plain,
! [X0,X1] :
( ~ p1(X0,X1,e)
| p2(e,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f382]) ).
fof(f971,plain,
! [X0] :
( ~ q2(e,e,X0)
| q3(e,X0) ),
inference(resolution,[status(thm)],[f399,f802]) ).
fof(f997,plain,
! [X0] :
( q3(e,X0)
| ~ l1(X0,e) ),
inference(resolution,[status(thm)],[f699,f971]) ).
fof(f999,plain,
! [X0] :
( ~ p2(e,X0,X0)
| q3(X0,X0)
| ~ l1(X0,e) ),
inference(resolution,[status(thm)],[f997,f803]) ).
fof(f1010,plain,
! [X0] :
( q3(X0,X0)
| ~ l1(X0,e)
| ~ p1(X0,X0,e) ),
inference(resolution,[status(thm)],[f956,f999]) ).
fof(f1012,plain,
! [X0,X1,X2] :
( ~ m0(e,X0,X1)
| ~ r0(X2)
| ~ p0(X1,X0)
| q3(X0,X0)
| ~ p1(X0,X0,e) ),
inference(resolution,[status(thm)],[f1010,f413]) ).
fof(f1016,plain,
! [X0,X1] :
( ~ m0(e,X0,X1)
| ~ p0(X1,X0)
| q3(X0,X0)
| ~ p1(X0,X0,e) ),
inference(resolution,[status(thm)],[f1012,f382]) ).
fof(f1020,plain,
! [X0] :
( ~ m0(e,X0,b)
| q3(X0,X0)
| ~ p1(X0,X0,e) ),
inference(resolution,[status(thm)],[f1016,f383]) ).
fof(f1023,plain,
( q3(d,d)
| ~ p1(d,d,e) ),
inference(resolution,[status(thm)],[f1020,f388]) ).
fof(f1024,plain,
~ p1(d,d,e),
inference(forward_subsumption_resolution,[status(thm)],[f1023,f924]) ).
fof(f1025,plain,
! [X0] :
( ~ p1(e,d,X0)
| ~ m0(e,d,X0) ),
inference(resolution,[status(thm)],[f1024,f539]) ).
fof(f1028,plain,
! [X0] : ~ p1(e,d,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f388]) ).
fof(f1036,plain,
! [X0,X1] :
( ~ p1(X0,e,X1)
| ~ m0(X0,e,X1) ),
inference(resolution,[status(thm)],[f1028,f539]) ).
fof(f1040,plain,
~ p1(a,e,a),
inference(resolution,[status(thm)],[f1036,f381]) ).
fof(f1060,plain,
! [X0] :
( ~ p1(a,a,X0)
| ~ m0(a,a,X0) ),
inference(resolution,[status(thm)],[f1040,f539]) ).
fof(f1066,plain,
~ p1(a,a,a),
inference(resolution,[status(thm)],[f1060,f381]) ).
fof(f1067,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1066,f942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN179-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:45:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.066317 seconds
% 0.13/0.43 % CPU time: 0.200804 seconds
% 0.13/0.43 % Total memory used: 70.596 MB
% 0.13/0.43 % Net memory used: 70.409 MB
%------------------------------------------------------------------------------