%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN202-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 03:15:28 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 56 ( 23 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 156 ( 83 ~; 73 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
p0(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,axiom,
( ~ q0(d,d)
| n1(d,d,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f156,axiom,
! [C,D] :
( ~ n1(D,d,C)
| ~ s0(b)
| ~ p0(b,d)
| q1(C,C,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f162,axiom,
! [D,E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
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(f225,axiom,
! [C,D,E,F] :
( ~ q2(D,D,D)
| ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f227,axiom,
! [H] :
( ~ s1(b)
| ~ q2(b,H,b)
| s2(H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ s2(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f370,plain,
s0(d),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f374,plain,
s0(b),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f379,plain,
p0(b,d),
inference(cnf_transformation,[status(thm)],[f10]) ).
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(f397,plain,
k0(e),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f410,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| l1(G,G) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f411,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f480,plain,
( ~ q0(d,d)
| n1(d,d,d) ),
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f595,plain,
! [C] :
( ! [D] : ~ n1(D,d,C)
| ~ s0(b)
| ~ p0(b,d)
| q1(C,C,C) ),
inference(miniscoping,[status(thm)],[f156]) ).
fof(f596,plain,
! [X0,X1] :
( ~ n1(X1,d,X0)
| ~ s0(b)
| ~ p0(b,d)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f595]) ).
fof(f605,plain,
! [E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ! [D] :
( ~ q0(D,E)
| r1(D) ) ),
inference(miniscoping,[status(thm)],[f162]) ).
fof(f606,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f607,plain,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f700,plain,
! [D] :
( ~ q2(D,D,D)
| ~ k0(D)
| ! [C] :
( ! [E,F] : ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ) ),
inference(miniscoping,[status(thm)],[f225]) ).
fof(f701,plain,
! [X0,X1,X2,X3] :
( ~ q2(X1,X1,X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| ~ r1(X1)
| q2(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f703,plain,
( ~ s1(b)
| ! [H] :
( ~ q2(b,H,b)
| s2(H) ) ),
inference(miniscoping,[status(thm)],[f227]) ).
fof(f704,plain,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(cnf_transformation,[status(thm)],[f703]) ).
fof(f924,plain,
~ s2(e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f934,plain,
n1(d,d,d),
inference(forward_subsumption_resolution,[status(thm)],[f480,f386]) ).
fof(f950,plain,
! [X0,X1] :
( ~ n1(X1,d,X0)
| ~ s0(b)
| q1(X0,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f379]) ).
fof(f952,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f370]) ).
fof(f966,plain,
s1(b),
inference(resolution,[status(thm)],[f607,f383]) ).
fof(f967,plain,
! [X0] :
( ~ q2(b,X0,b)
| s2(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f704,f966]) ).
fof(f1048,plain,
! [X0,X1,X2,X3,X4] :
( ~ q1(d,X4,d)
| ~ q0(X1,X4)
| ~ q2(X1,X1,X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| q2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f701,f952]) ).
fof(f1155,plain,
! [X0,X1,X2,X3] :
( s2(X2)
| ~ q1(d,X3,d)
| ~ q0(X2,X3)
| ~ q2(X2,X2,X2)
| ~ k0(X2)
| ~ m0(X0,X1,b) ),
inference(resolution,[status(thm)],[f1048,f967]) ).
fof(f1163,plain,
! [X0,X1] :
( s2(X0)
| ~ q1(d,X1,d)
| ~ q0(X0,X1)
| ~ q2(X0,X0,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[f1155,f388]) ).
fof(f1165,plain,
! [X0] :
( ~ q1(d,X0,d)
| ~ q0(e,X0)
| ~ q2(e,e,e)
| ~ k0(e) ),
inference(resolution,[status(thm)],[f1163,f924]) ).
fof(f1166,plain,
! [X0] :
( ~ q1(d,X0,d)
| ~ q0(e,X0)
| ~ q2(e,e,e) ),
inference(forward_subsumption_resolution,[status(thm)],[f1165,f397]) ).
fof(f1167,plain,
( ~ q1(d,d,d)
| ~ q2(e,e,e) ),
inference(resolution,[status(thm)],[f1166,f386]) ).
fof(f1176,plain,
( ~ l1(e,e)
| ~ q1(d,d,d) ),
inference(resolution,[status(thm)],[f1167,f699]) ).
fof(f1214,plain,
! [X0] :
( ~ n0(X0,e)
| ~ q1(d,d,d) ),
inference(resolution,[status(thm)],[f1176,f411]) ).
fof(f1227,plain,
~ q1(d,d,d),
inference(resolution,[status(thm)],[f1214,f399]) ).
fof(f1229,plain,
! [X0] :
( ~ n1(X0,d,d)
| ~ s0(b) ),
inference(resolution,[status(thm)],[f1227,f950]) ).
fof(f1248,plain,
! [X0] : ~ n1(X0,d,d),
inference(forward_subsumption_resolution,[status(thm)],[f1229,f374]) ).
fof(f1249,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f934,f1248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN202-1 : 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 : n005.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 10:45:48 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.44 % Elapsed time: 0.073461 seconds
% 0.12/0.44 % CPU time: 0.264714 seconds
% 0.12/0.44 % Total memory used: 72.127 MB
% 0.12/0.44 % Net memory used: 71.761 MB
%------------------------------------------------------------------------------