%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN138-1 : 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 03:15:19 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of formulae : 63 ( 26 unt; 0 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 136 ( 70 ~; 66 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 71 ( 71 !; 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(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(f24,axiom,
l0(c),
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(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(f59,axiom,
! [I,J] :
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f145,axiom,
! [A] :
( ~ m0(e,d,A)
| ~ m0(A,d,A)
| q1(e,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f150,axiom,
! [A] :
( ~ s0(b)
| ~ k1(A)
| q1(A,A,A) ),
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(f165,axiom,
! [C,D,E,F] :
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f167,axiom,
! [J,A] :
( ~ q1(A,J,J)
| k2(J,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f226,axiom,
! [G] :
( ~ l0(G)
| ~ r1(G)
| r2(G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f269,axiom,
! [H,I] :
( ~ k2(c,I)
| ~ r2(H)
| m3(H,I,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ m3(c,e,c),
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(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(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f397,plain,
k0(e),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
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(f442,plain,
! [J] :
( ~ k0(J)
| ! [I] :
( ~ l0(I)
| m1(I,J,I) ) ),
inference(miniscoping,[status(thm)],[f59]) ).
fof(f443,plain,
! [X0,X1] :
( ~ k0(X1)
| ~ l0(X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f442]) ).
fof(f578,plain,
! [X0] :
( ~ m0(e,d,X0)
| ~ m0(X0,d,X0)
| q1(e,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f145]) ).
fof(f586,plain,
( ~ s0(b)
| ! [A] :
( ~ k1(A)
| q1(A,A,A) ) ),
inference(miniscoping,[status(thm)],[f150]) ).
fof(f587,plain,
! [X0] :
( ~ s0(b)
| ~ k1(X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f586]) ).
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(f610,plain,
! [D,F] :
( ~ k2(F,D)
| ~ k1(F)
| ! [C] :
( ! [E] : ~ m1(E,D,C)
| k2(C,D) ) ),
inference(miniscoping,[status(thm)],[f165]) ).
fof(f611,plain,
! [X0,X1,X2,X3] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f613,plain,
! [J] :
( ! [A] : ~ q1(A,J,J)
| k2(J,J) ),
inference(miniscoping,[status(thm)],[f167]) ).
fof(f614,plain,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f702,plain,
! [X0] :
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f767,plain,
! [I] :
( ~ k2(c,I)
| ! [H] :
( ~ r2(H)
| m3(H,I,H) ) ),
inference(miniscoping,[status(thm)],[f269]) ).
fof(f768,plain,
! [X0,X1] :
( ~ k2(c,X1)
| ~ r2(X0)
| m3(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f767]) ).
fof(f924,plain,
~ m3(c,e,c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f926,plain,
k1(d),
inference(resolution,[status(thm)],[f409,f403]) ).
fof(f928,plain,
k1(e),
inference(resolution,[status(thm)],[f409,f399]) ).
fof(f1039,plain,
! [X0] :
( ~ k1(X0)
| q1(X0,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f374]) ).
fof(f1265,plain,
! [X0] :
( ~ m0(e,d,X0)
| q1(e,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f388]) ).
fof(f1266,plain,
! [X0] : q1(e,X0,X0),
inference(resolution,[status(thm)],[f1265,f388]) ).
fof(f1267,plain,
! [X0] : k2(X0,X0),
inference(resolution,[status(thm)],[f1266,f614]) ).
fof(f1312,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f370]) ).
fof(f1318,plain,
! [X0] :
( ~ q1(d,d,d)
| r1(X0) ),
inference(resolution,[status(thm)],[f1312,f386]) ).
fof(f1320,plain,
! [X0] :
( ~ l0(X0)
| r2(X0)
| ~ q1(d,d,d) ),
inference(resolution,[status(thm)],[f1318,f702]) ).
fof(f1346,plain,
! [X0,X1,X2] :
( ~ k1(X1)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(resolution,[status(thm)],[f611,f1267]) ).
fof(f1358,plain,
! [X0,X1] :
( ~ m1(X1,e,X0)
| k2(X0,e) ),
inference(resolution,[status(thm)],[f1346,f928]) ).
fof(f1387,plain,
! [X0] :
( ~ k0(e)
| ~ l0(X0)
| k2(X0,e) ),
inference(resolution,[status(thm)],[f1358,f443]) ).
fof(f1396,plain,
! [X0] :
( ~ l0(X0)
| k2(X0,e) ),
inference(forward_subsumption_resolution,[status(thm)],[f1387,f397]) ).
fof(f1566,plain,
( r2(c)
| ~ q1(d,d,d) ),
inference(resolution,[status(thm)],[f1320,f393]) ).
fof(f1577,plain,
( ~ k1(d)
| r2(c) ),
inference(resolution,[status(thm)],[f1566,f1039]) ).
fof(f1589,plain,
r2(c),
inference(forward_subsumption_resolution,[status(thm)],[f1577,f926]) ).
fof(f1595,plain,
! [X0] :
( ~ k2(c,X0)
| m3(c,X0,c) ),
inference(resolution,[status(thm)],[f1589,f768]) ).
fof(f1646,plain,
~ k2(c,e),
inference(resolution,[status(thm)],[f1595,f924]) ).
fof(f1650,plain,
~ l0(c),
inference(resolution,[status(thm)],[f1646,f1396]) ).
fof(f1651,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1650,f393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN138-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 10:44:19 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.51/1.65 % Elapsed time: 1.059502 seconds
% 1.51/1.65 % CPU time: 0.314938 seconds
% 1.51/1.65 % Total memory used: 58.902 MB
% 1.51/1.65 % Net memory used: 58.482 MB
%------------------------------------------------------------------------------