%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN156-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 0.13s 0.48s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 27
% Syntax : Number of formulae : 95 ( 29 unt; 0 def)
% Number of atoms : 196 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 207 ( 106 ~; 101 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 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 : 164 ( 164 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f52,axiom,
! [E,F,G] :
( ~ m0(F,G,E)
| m1(E,E,E) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f130,axiom,
! [J,A,B,C] :
( ~ p0(C,J)
| ~ n0(B,A)
| q1(J,A,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f179,axiom,
! [B] :
( ~ q1(B,a,B)
| p2(B,a,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f188,axiom,
! [F,G] :
( ~ m1(G,G,F)
| p2(F,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,axiom,
! [H,I,J] :
( ~ p2(e,H,I)
| ~ k1(J)
| p2(H,I,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f224,axiom,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f274,axiom,
! [A] :
( ~ n2(A)
| m3(A,A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f278,axiom,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f289,axiom,
! [A,B,C,D] :
( ~ p2(A,B,D)
| ~ m3(B,C,D)
| p3(A,B,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f293,axiom,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f312,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f319,axiom,
! [J,A] :
( ~ n4(J,J)
| ~ p3(J,A,A)
| n4(J,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f322,axiom,
! [H,I] :
( ~ m3(H,H,H)
| ~ k4(I)
| n4(H,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ n4(a,e),
file('/export/starexec/sandbox/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(f387,plain,
p0(c,b),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f396,plain,
m0(e,b,c),
inference(cnf_transformation,[status(thm)],[f27]) ).
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(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(thm)],[f37]) ).
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(f430,plain,
! [E] :
( ! [F,G] : ~ m0(F,G,E)
| m1(E,E,E) ),
inference(miniscoping,[status(thm)],[f52]) ).
fof(f431,plain,
! [X0,X1,X2] :
( ~ m0(X1,X2,X0)
| m1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f430]) ).
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(f554,plain,
! [J] :
( ! [C] : ~ p0(C,J)
| ! [A] :
( ! [B] : ~ n0(B,A)
| q1(J,A,J) ) ),
inference(miniscoping,[status(thm)],[f130]) ).
fof(f555,plain,
! [X0,X1,X2,X3] :
( ~ p0(X3,X0)
| ~ n0(X2,X1)
| q1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f554]) ).
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(f632,plain,
! [X0] :
( ~ q1(X0,a,X0)
| p2(X0,a,X0) ),
inference(cnf_transformation,[status(thm)],[f179]) ).
fof(f646,plain,
! [F] :
( ! [G] : ~ m1(G,G,F)
| p2(F,F,F) ),
inference(miniscoping,[status(thm)],[f188]) ).
fof(f647,plain,
! [X0,X1] :
( ~ m1(X1,X1,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f646]) ).
fof(f653,plain,
! [H,I] :
( ~ p2(e,H,I)
| ! [J] : ~ k1(J)
| p2(H,I,I) ),
inference(miniscoping,[status(thm)],[f193]) ).
fof(f654,plain,
! [X0,X1,X2] :
( ~ p2(e,X0,X1)
| ~ k1(X2)
| p2(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f653]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f774,plain,
! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f778,plain,
! [D] :
( ! [E,F] : ~ p2(E,F,D)
| n3(D) ),
inference(miniscoping,[status(thm)],[f278]) ).
fof(f779,plain,
! [X0,X1,X2] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
inference(cnf_transformation,[status(thm)],[f778]) ).
fof(f795,plain,
! [A,B,D] :
( ~ p2(A,B,D)
| ! [C] : ~ m3(B,C,D)
| p3(A,B,B) ),
inference(miniscoping,[status(thm)],[f289]) ).
fof(f796,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,X1,X3)
| ~ m3(X1,X2,X3)
| p3(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f801,plain,
! [G,I] :
( ~ n0(I,G)
| ! [H] :
( ~ q2(I,G,H)
| q3(G,H) ) ),
inference(miniscoping,[status(thm)],[f293]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f832,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(cnf_transformation,[status(thm)],[f312]) ).
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(f848,plain,
! [H] :
( ~ m3(H,H,H)
| ! [I] : ~ k4(I)
| n4(H,H) ),
inference(miniscoping,[status(thm)],[f322]) ).
fof(f849,plain,
! [X0,X1] :
( ~ m3(X0,X0,X0)
| ~ k4(X1)
| n4(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f848]) ).
fof(f924,plain,
~ n4(a,e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f932,plain,
k1(c),
inference(resolution,[status(thm)],[f409,f395]) ).
fof(f937,plain,
! [X0,X1,X2] :
( ~ m0(X1,X0,X2)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(resolution,[status(thm)],[f413,f382]) ).
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(f968,plain,
! [X0] : m3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f774,f964]) ).
fof(f1001,plain,
! [X0,X1] :
( n3(X1)
| ~ m1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f647,f779]) ).
fof(f1009,plain,
! [X0,X1,X2] :
( ~ m0(X1,X2,X0)
| n3(X0) ),
inference(resolution,[status(thm)],[f1001,f431]) ).
fof(f1028,plain,
! [X0] : n3(X0),
inference(resolution,[status(thm)],[f1009,f388]) ).
fof(f1055,plain,
! [X0,X1] :
( ~ k4(X1)
| n4(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f968]) ).
fof(f1206,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| ~ n0(X0,X0)
| q3(X0,X1) ),
inference(resolution,[status(thm)],[f802,f699]) ).
fof(f1217,plain,
! [X0] :
( ~ m0(X0,b,c)
| l1(b,X0) ),
inference(resolution,[status(thm)],[f937,f387]) ).
fof(f1221,plain,
l1(b,e),
inference(resolution,[status(thm)],[f1217,f396]) ).
fof(f2119,plain,
( ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f403]) ).
fof(f2120,plain,
! [X0] :
( n4(X0,X0)
| ~ n3(e)
| ~ q3(e,b) ),
inference(resolution,[status(thm)],[f2119,f1055]) ).
fof(f2123,plain,
! [X0] :
( n4(X0,X0)
| ~ q3(e,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f2120,f1028]) ).
fof(f2126,plain,
! [X0] :
( ~ l1(b,e)
| ~ n0(e,e)
| n4(X0,X0) ),
inference(resolution,[status(thm)],[f2123,f1206]) ).
fof(f2127,plain,
! [X0] :
( ~ l1(b,e)
| n4(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2126,f399]) ).
fof(f2128,plain,
! [X0,X1] :
( ~ p3(X0,X1,X1)
| n4(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f845,f2129]) ).
fof(f2129,plain,
! [X0] : n4(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f2127,f1221]) ).
fof(f2132,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,X1,X3)
| ~ m3(X1,X2,X3)
| n4(X0,X1) ),
inference(resolution,[status(thm)],[f2128,f796]) ).
fof(f2154,plain,
! [X0,X1] :
( ~ p2(X0,X1,X1)
| n4(X0,X1) ),
inference(resolution,[status(thm)],[f2132,f968]) ).
fof(f2173,plain,
! [X0,X1,X2] :
( ~ p2(e,X0,X1)
| ~ k1(X2)
| n4(X0,X1) ),
inference(resolution,[status(thm)],[f2154,f654]) ).
fof(f2232,plain,
! [X0,X1] :
( ~ p2(e,X0,X1)
| n4(X0,X1) ),
inference(resolution,[status(thm)],[f2173,f932]) ).
fof(f2241,plain,
( ~ q1(e,a,e)
| n4(a,e) ),
inference(resolution,[status(thm)],[f2232,f632]) ).
fof(f2256,plain,
~ q1(e,a,e),
inference(forward_subsumption_resolution,[status(thm)],[f2241,f924]) ).
fof(f2258,plain,
! [X0,X1] :
( ~ p0(X1,e)
| ~ n0(X0,a) ),
inference(resolution,[status(thm)],[f2256,f555]) ).
fof(f2296,plain,
! [X0] : ~ n0(X0,a),
inference(resolution,[status(thm)],[f2258,f383]) ).
fof(f2298,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f406,f2296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN156-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:45:47 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.48 % Refutation found
% 0.13/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.03/1.70 % Elapsed time: 1.131949 seconds
% 2.03/1.70 % CPU time: 0.720058 seconds
% 2.03/1.70 % Total memory used: 78.244 MB
% 2.03/1.70 % Net memory used: 77.119 MB
%------------------------------------------------------------------------------