%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN155-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 03:15:21 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 29
% Syntax : Number of formulae : 106 ( 35 unt; 0 def)
% Number of atoms : 224 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 242 ( 124 ~; 118 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 143 ( 143 !; 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(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(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(f20,axiom,
l0(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
n0(d,c),
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(f43,axiom,
! [B,C] :
( ~ m0(C,C,B)
| m1(B,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
! [I,J] :
( ~ l0(J)
| ~ r0(I)
| m1(I,J,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
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(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
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(f232,axiom,
! [F,G] :
( ~ k2(G,F)
| k3(F,F,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f240,axiom,
! [G,H,I,J,A] :
( ~ k3(H,A,J)
| ~ k2(G,J)
| ~ q0(I,H)
| k3(G,G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f248,axiom,
! [D] :
( ~ n2(D)
| k3(D,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f280,axiom,
! [J,A,B] :
( ~ k3(A,B,J)
| ~ r2(A)
| p3(J,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f319,axiom,
! [J,A] :
( ~ n4(J,J)
| ~ p3(J,A,A)
| n4(J,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f320,axiom,
( ~ q1(d,d,d)
| ~ k3(c,c,e)
| n4(d,d) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X] : ~ n4(X,a),
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(f382,plain,
r0(e),
inference(cnf_transformation,[status(thm)],[f13]) ).
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(f389,plain,
l0(a),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
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(f416,plain,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f464,plain,
! [J] :
( ~ l0(J)
| ! [I] :
( ~ r0(I)
| m1(I,J,I) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f465,plain,
! [X0,X1] :
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f544,plain,
! [B] :
( ! [C] : ~ p0(C,B)
| p1(B,B,B) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f545,plain,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f544]) ).
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(f626,plain,
! [A] :
( ! [B,C] : ~ p1(B,C,A)
| n2(A) ),
inference(miniscoping,[status(thm)],[f175]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f702,plain,
! [X0] :
( ~ l0(X0)
| ~ r1(X0)
| r2(X0) ),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f711,plain,
! [X0,X1] :
( ~ k2(X1,X0)
| k3(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f723,plain,
! [H,J] :
( ! [A] : ~ k3(H,A,J)
| ! [G] :
( ~ k2(G,J)
| ! [I] : ~ q0(I,H)
| k3(G,G,H) ) ),
inference(miniscoping,[status(thm)],[f240]) ).
fof(f724,plain,
! [X0,X1,X2,X3,X4] :
( ~ k3(X1,X4,X3)
| ~ k2(X0,X3)
| ~ q0(X2,X1)
| k3(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f723]) ).
fof(f735,plain,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
fof(f782,plain,
! [X0,X1,X2] :
( ~ k3(X1,X2,X0)
| ~ r2(X1)
| p3(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f784,plain,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f844,plain,
! [J] :
( ~ n4(J,J)
| ! [A] :
( ~ p3(J,A,A)
| n4(J,A) ) ),
inference(miniscoping,[status(thm)],[f319]) ).
fof(f845,plain,
! [X0,X1] :
( ~ n4(X0,X0)
| ~ p3(X0,X1,X1)
| n4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f844]) ).
fof(f846,plain,
( ~ q1(d,d,d)
| ~ k3(c,c,e)
| n4(d,d) ),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f924,plain,
! [X0] : ~ n4(X0,a),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
! [X0] :
( ~ p3(d,X0,X0)
| n4(d,X0)
| ~ q1(d,d,d)
| ~ k3(c,c,e) ),
inference(resolution,[status(thm)],[f846,f845]) ).
fof(f928,plain,
k1(d),
inference(resolution,[status(thm)],[f409,f403]) ).
fof(f932,plain,
k1(c),
inference(resolution,[status(thm)],[f409,f395]) ).
fof(f962,plain,
! [X0,X1] :
( n2(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[f545,f627]) ).
fof(f964,plain,
! [X0] : n2(X0),
inference(resolution,[status(thm)],[f962,f383]) ).
fof(f967,plain,
! [X0] : p3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f784,f964]) ).
fof(f969,plain,
! [X0] : k3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f735,f964]) ).
fof(f990,plain,
! [X0] :
( ~ p3(d,X0,X0)
| n4(d,X0)
| ~ q1(d,d,d)
| ~ k2(e,c) ),
inference(resolution,[status(thm)],[f711,f925]) ).
fof(f1044,plain,
! [X0] :
( ~ k1(X0)
| q1(X0,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f374]) ).
fof(f1278,plain,
! [X0] :
( ~ m0(e,d,X0)
| q1(e,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f578,f388]) ).
fof(f1279,plain,
! [X0] : q1(e,X0,X0),
inference(resolution,[status(thm)],[f1278,f388]) ).
fof(f1283,plain,
! [X0] : k2(X0,X0),
inference(resolution,[status(thm)],[f1279,f614]) ).
fof(f1341,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f370]) ).
fof(f1347,plain,
! [X0] :
( ~ q1(d,d,d)
| r1(X0) ),
inference(resolution,[status(thm)],[f1341,f386]) ).
fof(f1348,plain,
! [X0,X1,X2] :
( ~ k1(X1)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(resolution,[status(thm)],[f611,f1283]) ).
fof(f1350,plain,
! [X0] :
( ~ l0(X0)
| r2(X0)
| ~ q1(d,d,d) ),
inference(resolution,[status(thm)],[f1347,f702]) ).
fof(f1365,plain,
! [X0,X1] :
( ~ m1(X1,c,X0)
| k2(X0,c) ),
inference(resolution,[status(thm)],[f1348,f932]) ).
fof(f1368,plain,
! [X0,X1] :
( ~ m1(X1,d,X0)
| k2(X0,d) ),
inference(resolution,[status(thm)],[f1348,f928]) ).
fof(f1374,plain,
! [X0] :
( ~ l0(c)
| ~ r0(X0)
| k2(X0,c) ),
inference(resolution,[status(thm)],[f1365,f465]) ).
fof(f1385,plain,
! [X0] :
( ~ r0(X0)
| k2(X0,c) ),
inference(forward_subsumption_resolution,[status(thm)],[f1374,f393]) ).
fof(f1386,plain,
! [X0] :
( ~ p3(d,X0,X0)
| n4(d,X0)
| ~ q1(d,d,d)
| ~ r0(e) ),
inference(resolution,[status(thm)],[f1385,f990]) ).
fof(f1388,plain,
! [X0] :
( ~ p3(d,X0,X0)
| n4(d,X0)
| ~ q1(d,d,d) ),
inference(forward_subsumption_resolution,[status(thm)],[f1386,f382]) ).
fof(f1389,plain,
( n4(d,d)
| ~ q1(d,d,d) ),
inference(resolution,[status(thm)],[f1388,f967]) ).
fof(f1399,plain,
( ~ k1(d)
| n4(d,d) ),
inference(resolution,[status(thm)],[f1389,f1044]) ).
fof(f1411,plain,
n4(d,d),
inference(forward_subsumption_resolution,[status(thm)],[f1399,f928]) ).
fof(f1414,plain,
! [X0] :
( ~ p3(d,X0,X0)
| n4(d,X0) ),
inference(resolution,[status(thm)],[f1411,f845]) ).
fof(f1466,plain,
! [X0] :
( ~ m0(d,d,X0)
| k2(X0,d) ),
inference(resolution,[status(thm)],[f1368,f416]) ).
fof(f1468,plain,
! [X0] : k2(X0,d),
inference(forward_subsumption_resolution,[status(thm)],[f1466,f388]) ).
fof(f1599,plain,
( r2(a)
| ~ q1(d,d,d) ),
inference(resolution,[status(thm)],[f1350,f389]) ).
fof(f1646,plain,
( ~ k1(d)
| r2(a) ),
inference(resolution,[status(thm)],[f1599,f1044]) ).
fof(f1658,plain,
r2(a),
inference(forward_subsumption_resolution,[status(thm)],[f1646,f928]) ).
fof(f1662,plain,
! [X0,X1] :
( ~ k3(a,X1,X0)
| p3(X0,a,X1) ),
inference(resolution,[status(thm)],[f1658,f782]) ).
fof(f1681,plain,
( n4(d,a)
| ~ k3(a,a,d) ),
inference(resolution,[status(thm)],[f1662,f1414]) ).
fof(f1682,plain,
~ k3(a,a,d),
inference(forward_subsumption_resolution,[status(thm)],[f1681,f924]) ).
fof(f1758,plain,
! [X0,X1,X2] :
( ~ k3(d,X2,X1)
| ~ k2(a,X1)
| ~ q0(X0,d) ),
inference(resolution,[status(thm)],[f724,f1682]) ).
fof(f1761,plain,
! [X0,X1] :
( ~ k3(d,X1,X0)
| ~ k2(a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1758,f386]) ).
fof(f1767,plain,
~ k2(a,d),
inference(resolution,[status(thm)],[f1761,f969]) ).
fof(f1771,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1767,f1468]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN155-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:44:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.074902 seconds
% 0.09/0.44 % CPU time: 0.289029 seconds
% 0.09/0.44 % Total memory used: 68.248 MB
% 0.09/0.44 % Net memory used: 67.890 MB
%------------------------------------------------------------------------------