%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN181-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:15:25 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% Number of atoms : 100 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 122 ( 68 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f133,axiom,
! [F,G] :
( ~ p0(G,F)
| q1(F,G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,axiom,
! [A] :
( ~ q1(A,A,A)
| p2(A,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f197,axiom,
! [A] :
( ~ k1(A)
| p2(A,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f224,axiom,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f243,axiom,
! [E,F] :
( ~ p2(F,E,E)
| k3(E,E,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f276,axiom,
! [I] :
( ~ p2(I,I,I)
| m3(I,I,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f333,axiom,
! [B,C,D,E,F] :
( ~ m3(E,F,E)
| ~ q2(E,C,B)
| ~ k3(D,D,B)
| q4(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ q4(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f403,plain,
n0(c,d),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f408,plain,
! [I] :
( ! [J] : ~ n0(J,I)
| k1(I) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f409,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(thm)],[f408]) ).
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(f559,plain,
! [X0,X1] :
( ~ p0(X1,X0)
| q1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f133]) ).
fof(f652,plain,
! [X0] :
( ~ q1(X0,X0,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f659,plain,
! [X0] :
( ~ k1(X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f727,plain,
! [E] :
( ! [F] : ~ p2(F,E,E)
| k3(E,E,E) ),
inference(miniscoping,[status(thm)],[f243]) ).
fof(f728,plain,
! [X0,X1] :
( ~ p2(X1,X0,X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f727]) ).
fof(f776,plain,
! [X0] :
( ~ p2(X0,X0,X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f866,plain,
! [E] :
( ! [F] : ~ m3(E,F,E)
| ! [B,C] :
( ~ q2(E,C,B)
| ! [D] : ~ k3(D,D,B)
| q4(B,C) ) ),
inference(miniscoping,[status(thm)],[f333]) ).
fof(f867,plain,
! [X0,X1,X2,X3,X4] :
( ~ m3(X3,X4,X3)
| ~ q2(X3,X1,X0)
| ~ k3(X2,X2,X0)
| q4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f924,plain,
~ q4(d,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f962,plain,
! [X0,X1,X2,X3,X4] :
( ~ m3(X3,X4,X3)
| ~ q2(X3,X2,X1)
| q4(X1,X2)
| ~ p2(X0,X1,X1) ),
inference(resolution,[status(thm)],[f728,f867]) ).
fof(f967,plain,
! [X0,X1,X2] :
( ~ m3(X1,X2,X1)
| ~ q2(X1,b,d)
| ~ p2(X0,d,d) ),
inference(resolution,[status(thm)],[f962,f924]) ).
fof(f969,plain,
! [X0,X1] :
( ~ l1(d,b)
| ~ m3(b,X1,b)
| ~ p2(X0,d,d) ),
inference(resolution,[status(thm)],[f967,f699]) ).
fof(f970,plain,
! [X0,X1,X2,X3] :
( ~ m0(b,d,X2)
| ~ r0(X3)
| ~ p0(X2,d)
| ~ m3(b,X1,b)
| ~ p2(X0,d,d) ),
inference(resolution,[status(thm)],[f969,f413]) ).
fof(f971,plain,
! [X0,X1,X2,X3] :
( ~ r0(X3)
| ~ p0(X2,d)
| ~ m3(b,X1,b)
| ~ p2(X0,d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[f970,f388]) ).
fof(f972,plain,
! [X0,X1,X2] :
( ~ r0(X2)
| ~ m3(b,X1,b)
| ~ p2(X0,d,d) ),
inference(resolution,[status(thm)],[f971,f383]) ).
fof(f976,plain,
! [X0,X1] :
( ~ m3(b,X1,b)
| ~ p2(X0,d,d) ),
inference(resolution,[status(thm)],[f972,f382]) ).
fof(f978,plain,
! [X0] :
( ~ p2(b,b,b)
| ~ p2(X0,d,d) ),
inference(resolution,[status(thm)],[f976,f776]) ).
fof(f989,plain,
! [X0] :
( ~ q1(b,b,b)
| ~ p2(X0,d,d) ),
inference(resolution,[status(thm)],[f978,f652]) ).
fof(f1008,plain,
! [X0] :
( ~ p0(b,b)
| ~ p2(X0,d,d) ),
inference(resolution,[status(thm)],[f989,f559]) ).
fof(f1012,plain,
! [X0] : ~ p2(X0,d,d),
inference(forward_subsumption_resolution,[status(thm)],[f1008,f383]) ).
fof(f1020,plain,
~ k1(d),
inference(resolution,[status(thm)],[f1012,f659]) ).
fof(f1021,plain,
! [X0] : ~ n0(X0,d),
inference(resolution,[status(thm)],[f1020,f409]) ).
fof(f1027,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f403,f1021]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN181-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.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 10:45:34 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.061862 seconds
% 0.15/0.43 % CPU time: 0.190187 seconds
% 0.15/0.43 % Total memory used: 70.368 MB
% 0.15/0.43 % Net memory used: 70.156 MB
%------------------------------------------------------------------------------