%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN254-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 03:15:35 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.47s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 27
% Syntax : Number of formulae : 99 ( 28 unt; 0 def)
% Number of atoms : 288 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 384 ( 195 ~; 189 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 210 ( 210 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
n0(e,b),
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(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
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(f53,axiom,
! [B,C,D] :
( ~ m0(C,C,B)
| ~ l0(D)
| m1(B,C,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [D,E] :
( ~ p0(b,E)
| ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [E,F,G] :
( ~ n1(E,F,E)
| ~ l1(G,E)
| ~ l0(G)
| n1(E,F,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [D] :
( ~ k0(D)
| p1(D,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f113,axiom,
( ~ p0(b,a)
| p1(a,a,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f169,axiom,
! [D,E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ~ s1(D)
| l2(D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f172,axiom,
! [G,H,I] :
( ~ p0(H,G)
| ~ m1(I,H,H)
| ~ m0(H,G,I)
| l2(G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f215,axiom,
! [E,F] :
( ~ p1(E,E,E)
| ~ k0(F)
| q2(E,F,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f219,axiom,
! [I] :
( ~ p1(I,I,I)
| q2(I,I,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f220,axiom,
! [F,G,H] :
( ~ q2(G,H,F)
| ~ n1(G,F,H)
| ~ p1(F,F,H)
| q2(F,G,F) ),
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(f311,axiom,
! [I,J,A,B] :
( ~ m0(A,B,J)
| ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f317,axiom,
! [E,F,G] :
( ~ s3(a,E)
| ~ l2(G,F)
| m4(E,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ m4(e,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f374,plain,
s0(b),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f380,plain,
n0(e,b),
inference(cnf_transformation,[status(thm)],[f11]) ).
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(f400,plain,
m0(b,b,e),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(thm)],[f37]) ).
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(f432,plain,
! [B,C] :
( ~ m0(C,C,B)
| ! [D] : ~ l0(D)
| m1(B,C,C) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f433,plain,
! [X0,X1,X2] :
( ~ m0(X1,X1,X0)
| ~ l0(X2)
| m1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f488,plain,
! [E] :
( ~ p0(b,E)
| ! [D] :
( ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f489,plain,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f495,plain,
! [E,F] :
( ~ n1(E,F,E)
| ! [G] :
( ~ l1(G,E)
| ~ l0(G)
| n1(E,F,F) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f496,plain,
! [X0,X1,X2] :
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f517,plain,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f528,plain,
( ~ p0(b,a)
| p1(a,a,a) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
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(f616,plain,
! [E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ! [D] :
( ~ s1(D)
| l2(D,E) ) ),
inference(miniscoping,[status(thm)],[f169]) ).
fof(f617,plain,
! [X0,X1] :
( ~ l2(X1,X1)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f616]) ).
fof(f621,plain,
! [G,H] :
( ~ p0(H,G)
| ! [I] :
( ~ m1(I,H,H)
| ~ m0(H,G,I)
| l2(G,G) ) ),
inference(miniscoping,[status(thm)],[f172]) ).
fof(f622,plain,
! [X0,X1,X2] :
( ~ p0(X1,X0)
| ~ m1(X2,X1,X1)
| ~ m0(X1,X0,X2)
| l2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f686,plain,
! [E] :
( ~ p1(E,E,E)
| ! [F] :
( ~ k0(F)
| q2(E,F,F) ) ),
inference(miniscoping,[status(thm)],[f215]) ).
fof(f687,plain,
! [X0,X1] :
( ~ p1(X0,X0,X0)
| ~ k0(X1)
| q2(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f686]) ).
fof(f692,plain,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f693,plain,
! [X0,X1,X2] :
( ~ q2(X1,X2,X0)
| ~ n1(X1,X0,X2)
| ~ p1(X0,X0,X2)
| q2(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f220]) ).
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(f830,plain,
! [J,A] :
( ! [B] : ~ m0(A,B,J)
| ! [I] :
( ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ) ),
inference(miniscoping,[status(thm)],[f311]) ).
fof(f831,plain,
! [X0,X1,X2,X3] :
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f840,plain,
! [E] :
( ~ s3(a,E)
| ! [F] :
( ! [G] : ~ l2(G,F)
| m4(E,F) ) ),
inference(miniscoping,[status(thm)],[f317]) ).
fof(f841,plain,
! [X0,X1,X2] :
( ~ s3(a,X0)
| ~ l2(X2,X1)
| m4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f840]) ).
fof(f924,plain,
~ m4(e,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f936,plain,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| n1(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f374]) ).
fof(f942,plain,
p1(a,a,a),
inference(forward_subsumption_resolution,[status(thm)],[f528,f383]) ).
fof(f989,plain,
! [X0,X1] :
( ~ m1(X1,b,b)
| ~ m0(b,X0,X1)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f622,f383]) ).
fof(f1019,plain,
! [X0,X1,X2,X3,X4] :
( ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ s2(a)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f831,f841]) ).
fof(f1078,plain,
( ~ m1(e,b,b)
| l2(b,b) ),
inference(resolution,[status(thm)],[f989,f400]) ).
fof(f1108,plain,
! [X0,X1,X2,X3,X4] :
( ~ s1(b)
| ~ q2(b,a,b)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1019,f704]) ).
fof(f1138,plain,
! [X0] :
( ~ m0(b,b,e)
| ~ l0(X0)
| l2(b,b) ),
inference(resolution,[status(thm)],[f1078,f433]) ).
fof(f1139,plain,
! [X0] :
( ~ l0(X0)
| l2(b,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f1138,f400]) ).
fof(f1149,plain,
l2(b,b),
inference(resolution,[status(thm)],[f1139,f393]) ).
fof(f1157,plain,
! [X0] :
( ~ n0(e,b)
| ~ s1(X0)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1149,f617]) ).
fof(f1160,plain,
! [X0] :
( ~ s1(X0)
| l2(X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f1157,f380]) ).
fof(f1161,plain,
! [X0,X1,X2] :
( ~ s1(X2)
| ~ q0(X0,X1)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1160,f609]) ).
fof(f1172,plain,
! [X0,X1,X2,X3,X4] :
( ~ p0(b,b)
| ~ q2(b,a,b)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1108,f607]) ).
fof(f1173,plain,
! [X0,X1,X2,X3,X4] :
( ~ q2(b,a,b)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1172,f383]) ).
fof(f1213,plain,
! [X0,X1,X2] :
( ~ p0(X2,X2)
| ~ q0(X0,X1)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1161,f607]) ).
fof(f1217,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ q2(a,X5,b)
| ~ n1(a,b,X5)
| ~ p1(b,b,X5)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1173,f693]) ).
fof(f1280,plain,
! [X0,X1] :
( ~ q0(X0,X1)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1213,f383]) ).
fof(f1287,plain,
! [X0] : l2(X0,b),
inference(resolution,[status(thm)],[f1280,f386]) ).
fof(f1325,plain,
! [X0,X1,X2,X3,X4] :
( ~ p1(a,a,a)
| ~ k0(b)
| ~ n1(a,b,b)
| ~ p1(b,b,b)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1217,f687]) ).
fof(f1327,plain,
! [X0,X1,X2,X3,X4] :
( ~ p1(a,a,a)
| ~ k0(b)
| ~ n1(a,b,b)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1325,f517]) ).
fof(f1345,plain,
! [X0,X1,X2,X3,X4] :
( ~ p1(a,a,a)
| ~ n1(a,b,b)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1327,f401]) ).
fof(f1346,plain,
! [X0,X1,X2,X3,X4] :
( ~ n1(a,b,b)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1345,f942]) ).
fof(f1369,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ n1(a,b,a)
| ~ l1(X5,a)
| ~ l0(X5)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1346,f496]) ).
fof(f1389,plain,
! [X0,X1,X2,X3,X4] :
( ~ n1(a,b,a)
| ~ l1(a,a)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1369,f389]) ).
fof(f1403,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ n0(X5,a)
| ~ n1(a,b,a)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1389,f411]) ).
fof(f1421,plain,
! [X0,X1,X2,X3,X4] :
( ~ n1(a,b,a)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1403,f406]) ).
fof(f1431,plain,
! [X0,X1,X2,X3,X4] :
( ~ p0(b,b)
| ~ l0(a)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1421,f936]) ).
fof(f1434,plain,
! [X0,X1,X2,X3,X4] :
( ~ p0(b,b)
| ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1431,f389]) ).
fof(f1437,plain,
! [X0,X1,X2,X3,X4] :
( ~ l2(X4,X3)
| m4(X2,X3)
| ~ m0(X0,X1,X2)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1434,f383]) ).
fof(f1442,plain,
! [X0,X1,X2] :
( ~ l2(X2,b)
| ~ m0(X0,X1,e)
| ~ q2(X0,a,X0) ),
inference(resolution,[status(thm)],[f1437,f924]) ).
fof(f1445,plain,
! [X0,X1] :
( ~ m0(X0,X1,e)
| ~ q2(X0,a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1442,f1287]) ).
fof(f1448,plain,
! [X0] : ~ q2(X0,a,X0),
inference(resolution,[status(thm)],[f1445,f388]) ).
fof(f1456,plain,
~ p1(a,a,a),
inference(resolution,[status(thm)],[f1448,f692]) ).
fof(f1459,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1456,f942]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN254-1 : 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 : n007.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
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 10:45:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.14/0.47 % Refutation found
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.68/1.68 % Elapsed time: 1.091325 seconds
% 1.68/1.68 % CPU time: 0.596330 seconds
% 1.68/1.68 % Total memory used: 75.944 MB
% 1.68/1.68 % Net memory used: 74.902 MB
%------------------------------------------------------------------------------