%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 03:15:22 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.45s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 39
% Syntax : Number of formulae : 147 ( 38 unt; 0 def)
% Number of atoms : 327 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 365 ( 185 ~; 180 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 279 ( 279 !; 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(f17,axiom,
! [X] : q0(X,d),
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(f20,axiom,
l0(a),
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(f28,axiom,
k0(e),
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(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(f59,axiom,
! [I,J] :
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [G,H] :
( ~ n0(H,G)
| p1(G,G,G) ),
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(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
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(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(f214,axiom,
! [D,E] :
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f219,axiom,
! [I] :
( ~ p1(I,I,I)
| q2(I,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(f248,axiom,
! [D] :
( ~ n2(D)
| k3(D,D,D) ),
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(f324,axiom,
! [D,E,F] :
( ~ n3(D)
| ~ q3(E,F)
| p4(D,D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f325,axiom,
! [B,C] :
( ~ k3(B,B,C)
| p4(B,C,B) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f345,axiom,
! [B,C,D,E,F] :
( ~ n5(F,C)
| ~ p4(F,F,C)
| ~ n4(B,E)
| ~ q4(D,E)
| n5(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f354,axiom,
! [H,I,J] :
( ~ p4(b,b,J)
| ~ s1(H)
| ~ p4(I,H,H)
| n5(H,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ n5(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(f386,plain,
! [X0] : q0(X0,d),
inference(cnf_transformation,[status(thm)],[f17]) ).
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(f389,plain,
l0(a),
inference(cnf_transformation,[status(thm)],[f20]) ).
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(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(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(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(f513,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| p1(G,G,G) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f514,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
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(f607,plain,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f608,plain,
( ! [H] : ~ s1(H)
| ! [F] :
( ! [G] : ~ q0(F,G)
| s1(F) ) ),
inference(miniscoping,[status(thm)],[f164]) ).
fof(f609,plain,
! [X0,X1,X2] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f608]) ).
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(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(f685,plain,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f692,plain,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f735,plain,
! [X0] :
( ~ n2(X0)
| k3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f248]) ).
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(f851,plain,
! [D] :
( ~ n3(D)
| ! [E,F] : ~ q3(E,F)
| p4(D,D,D) ),
inference(miniscoping,[status(thm)],[f324]) ).
fof(f852,plain,
! [X0,X1,X2] :
( ~ n3(X0)
| ~ q3(X1,X2)
| p4(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f851]) ).
fof(f853,plain,
! [X0,X1] :
( ~ k3(X0,X0,X1)
| p4(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
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(f887,plain,
! [C,F] :
( ~ n5(F,C)
| ~ p4(F,F,C)
| ! [B,E] :
( ~ n4(B,E)
| ! [D] : ~ q4(D,E)
| n5(B,C) ) ),
inference(miniscoping,[status(thm)],[f345]) ).
fof(f888,plain,
! [X0,X1,X2,X3,X4] :
( ~ n5(X4,X1)
| ~ p4(X4,X4,X1)
| ~ n4(X0,X3)
| ~ q4(X2,X3)
| n5(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f887]) ).
fof(f900,plain,
( ! [J] : ~ p4(b,b,J)
| ! [H] :
( ~ s1(H)
| ! [I] : ~ p4(I,H,H)
| n5(H,H) ) ),
inference(miniscoping,[status(thm)],[f354]) ).
fof(f901,plain,
! [X0,X1,X2] :
( ~ p4(b,b,X2)
| ~ s1(X0)
| ~ p4(X1,X0,X0)
| n5(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f900]) ).
fof(f924,plain,
~ n5(a,e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f930,plain,
k1(c),
inference(resolution,[status(thm)],[f409,f395]) ).
fof(f933,plain,
s1(b),
inference(resolution,[status(thm)],[f607,f383]) ).
fof(f934,plain,
! [X0,X1,X2] :
( ~ m0(X1,X0,X2)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(resolution,[status(thm)],[f413,f382]) ).
fof(f961,plain,
! [X0,X1] :
( n2(X1)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[f545,f627]) ).
fof(f963,plain,
! [X0] : n2(X0),
inference(resolution,[status(thm)],[f961,f383]) ).
fof(f967,plain,
! [X0] : m3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f774,f963]) ).
fof(f968,plain,
! [X0] : k3(X0,X0,X0),
inference(backward_subsumption_resolution,[status(thm)],[f735,f963]) ).
fof(f991,plain,
! [X0,X1] :
( ~ q0(X0,X1)
| s1(X0) ),
inference(resolution,[status(thm)],[f609,f933]) ).
fof(f997,plain,
! [X0] : s1(X0),
inference(resolution,[status(thm)],[f991,f386]) ).
fof(f998,plain,
! [X0,X1,X2] :
( ~ p4(b,b,X2)
| ~ p4(X1,X0,X0)
| n5(X0,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f901,f997]) ).
fof(f1000,plain,
! [X0,X1] :
( n3(X1)
| ~ m1(X0,X0,X1) ),
inference(resolution,[status(thm)],[f647,f779]) ).
fof(f1011,plain,
! [X0,X1,X2] :
( ~ m0(X1,X2,X0)
| n3(X0) ),
inference(resolution,[status(thm)],[f1000,f431]) ).
fof(f1030,plain,
! [X0] : n3(X0),
inference(resolution,[status(thm)],[f1011,f388]) ).
fof(f1032,plain,
! [X0,X1] :
( ~ p4(X1,X0,X0)
| n5(X0,X0)
| ~ k3(b,b,b) ),
inference(resolution,[status(thm)],[f853,f998]) ).
fof(f1034,plain,
! [X0,X1] :
( ~ p4(X1,X0,X0)
| n5(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1032,f968]) ).
fof(f1035,plain,
! [X0] :
( ~ k3(X0,X0,X0)
| n5(X0,X0) ),
inference(resolution,[status(thm)],[f1034,f853]) ).
fof(f1036,plain,
! [X0] : n5(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1035,f968]) ).
fof(f1054,plain,
! [X0,X1] :
( ~ k4(X1)
| n4(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f967]) ).
fof(f1056,plain,
! [X0,X1,X2] :
( ~ q3(X1,X2)
| p4(X0,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f852,f1030]) ).
fof(f1204,plain,
! [X0] :
( ~ p1(X0,X0,X0)
| ~ n0(X0,X0)
| q3(X0,X0) ),
inference(resolution,[status(thm)],[f802,f692]) ).
fof(f1205,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| ~ n0(X0,X0)
| q3(X0,X1) ),
inference(resolution,[status(thm)],[f802,f699]) ).
fof(f1206,plain,
! [X0] :
( ~ n0(X0,X0)
| q3(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f514]) ).
fof(f1207,plain,
! [X0,X1] :
( p4(X1,X1,X1)
| ~ n0(X0,X0) ),
inference(resolution,[status(thm)],[f1206,f1056]) ).
fof(f1208,plain,
! [X0] : p4(X0,X0,X0),
inference(resolution,[status(thm)],[f1207,f399]) ).
fof(f1216,plain,
! [X0] :
( ~ m0(X0,b,c)
| l1(b,X0) ),
inference(resolution,[status(thm)],[f934,f387]) ).
fof(f1220,plain,
l1(b,e),
inference(resolution,[status(thm)],[f1216,f396]) ).
fof(f1917,plain,
( ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f403]) ).
fof(f1918,plain,
! [X0] :
( n4(X0,X0)
| ~ n3(e)
| ~ q3(e,b) ),
inference(resolution,[status(thm)],[f1917,f1054]) ).
fof(f1921,plain,
! [X0] :
( n4(X0,X0)
| ~ q3(e,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f1918,f1030]) ).
fof(f1933,plain,
! [X0] :
( ~ l1(b,e)
| ~ n0(e,e)
| n4(X0,X0) ),
inference(resolution,[status(thm)],[f1921,f1205]) ).
fof(f1934,plain,
! [X0] :
( ~ l1(b,e)
| n4(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1933,f399]) ).
fof(f1935,plain,
! [X0,X1] :
( ~ p3(X0,X1,X1)
| n4(X0,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f845,f1936]) ).
fof(f1936,plain,
! [X0] : n4(X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1934,f1220]) ).
fof(f1939,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,X1,X3)
| ~ m3(X1,X2,X3)
| n4(X0,X1) ),
inference(resolution,[status(thm)],[f1935,f796]) ).
fof(f1964,plain,
! [X0,X1] :
( ~ p2(X0,X1,X1)
| n4(X0,X1) ),
inference(resolution,[status(thm)],[f1939,f967]) ).
fof(f1982,plain,
! [X0,X1,X2] :
( ~ p2(e,X0,X1)
| ~ k1(X2)
| n4(X0,X1) ),
inference(resolution,[status(thm)],[f1964,f654]) ).
fof(f2011,plain,
! [X0,X1] :
( ~ p2(e,X0,X1)
| n4(X0,X1) ),
inference(resolution,[status(thm)],[f1982,f930]) ).
fof(f2030,plain,
! [X0] :
( ~ m1(X0,e,X0)
| n4(X0,e) ),
inference(resolution,[status(thm)],[f2011,f685]) ).
fof(f2061,plain,
! [X0,X1,X2,X3] :
( ~ m3(X2,X3,X2)
| ~ q2(X2,X1,X0)
| q4(X0,X1) ),
inference(resolution,[status(thm)],[f867,f968]) ).
fof(f2068,plain,
! [X0] :
( ~ k0(e)
| ~ l0(X0)
| n4(X0,e) ),
inference(resolution,[status(thm)],[f2030,f443]) ).
fof(f2077,plain,
! [X0] :
( ~ l0(X0)
| n4(X0,e) ),
inference(forward_subsumption_resolution,[status(thm)],[f2068,f397]) ).
fof(f2096,plain,
! [X0,X1,X2,X3] :
( ~ p4(X1,X1,X1)
| ~ n4(X0,X3)
| ~ q4(X2,X3)
| n5(X0,X1) ),
inference(resolution,[status(thm)],[f888,f1036]) ).
fof(f2097,plain,
! [X0,X1,X2,X3] :
( ~ n4(X0,X3)
| ~ q4(X2,X3)
| n5(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2096,f1208]) ).
fof(f2137,plain,
! [X0,X1,X2] :
( ~ q2(X2,X1,X0)
| q4(X0,X1) ),
inference(resolution,[status(thm)],[f2061,f967]) ).
fof(f2151,plain,
! [X0,X1] :
( ~ l1(X0,X1)
| q4(X0,X1) ),
inference(resolution,[status(thm)],[f2137,f699]) ).
fof(f2168,plain,
! [X0,X1,X2,X3] :
( ~ n4(X2,X1)
| n5(X2,X3)
| ~ l1(X0,X1) ),
inference(resolution,[status(thm)],[f2151,f2097]) ).
fof(f2171,plain,
! [X0,X1] :
( ~ n4(a,X1)
| ~ l1(X0,X1) ),
inference(resolution,[status(thm)],[f2168,f924]) ).
fof(f2172,plain,
~ n4(a,e),
inference(resolution,[status(thm)],[f2171,f1220]) ).
fof(f2179,plain,
~ l0(a),
inference(resolution,[status(thm)],[f2172,f2077]) ).
fof(f2181,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2179,f389]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN159-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:44:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.45 % Refutation found
% 0.13/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.74/1.69 % Elapsed time: 1.112514 seconds
% 1.74/1.69 % CPU time: 0.482947 seconds
% 1.74/1.69 % Total memory used: 73.658 MB
% 1.74/1.69 % Net memory used: 73.080 MB
%------------------------------------------------------------------------------