%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN122-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 03:15:16 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 15 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 68 ( 35 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : q0(X,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f169,axiom,
! [D,E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ~ s1(D)
| l2(D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f171,axiom,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ l2(b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f386,plain,
! [X0] : q0(X0,d),
inference(cnf_transformation,[status(thm)],[f17]) ).
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(f607,plain,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f608,plain,
( ! [H] : ~ s1(H)
| ! [F] :
( ! [G] : ~ q0(F,G)
| s1(F) ) ),
inference(miniscoping,[status(thm)],[f164]) ).
fof(f609,plain,
! [X0,X1,X2] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f616,plain,
! [E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ! [D] :
( ~ s1(D)
| l2(D,E) ) ),
inference(miniscoping,[status(thm)],[f169]) ).
fof(f617,plain,
! [X0,X1] :
( ~ l2(X1,X1)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f616]) ).
fof(f619,plain,
! [J,B] :
( ! [C] : ~ m0(C,B,J)
| ~ s1(B)
| ! [A] : ~ p0(A,A)
| l2(J,J) ),
inference(miniscoping,[status(thm)],[f171]) ).
fof(f620,plain,
! [X0,X1,X2,X3] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f924,plain,
~ l2(b,e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f934,plain,
s1(b),
inference(resolution,[status(thm)],[f607,f383]) ).
fof(f1089,plain,
! [X0,X1] :
( ~ s1(X1)
| s1(X0) ),
inference(resolution,[status(thm)],[f609,f386]) ).
fof(f1090,plain,
! [X0] : s1(X0),
inference(resolution,[status(thm)],[f1089,f934]) ).
fof(f1904,plain,
! [X0,X1] :
( ~ l2(X1,X1)
| ~ n0(e,X1)
| l2(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f617,f1090]) ).
fof(f1908,plain,
! [X0,X1,X2,X3] :
( ~ m0(X2,X3,X0)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f620,f1090]) ).
fof(f1916,plain,
! [X0,X1] :
( ~ p0(X1,X1)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f1908,f388]) ).
fof(f1919,plain,
! [X0] : l2(X0,X0),
inference(resolution,[status(thm)],[f1916,f383]) ).
fof(f1921,plain,
! [X0,X1] :
( ~ n0(e,X1)
| l2(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f1904,f1919]) ).
fof(f1924,plain,
! [X0] : l2(X0,e),
inference(resolution,[status(thm)],[f1921,f399]) ).
fof(f1927,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f924,f1924]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN122-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % 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 10:44:05 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % 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: 0.062390 seconds
% 0.12/0.43 % CPU time: 0.143667 seconds
% 0.12/0.43 % Total memory used: 21.079 MB
% 0.12/0.43 % Net memory used: 20.894 MB
%------------------------------------------------------------------------------