%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN269-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 03:15:37 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 24
% Syntax : Number of formulae : 86 ( 26 unt; 0 def)
% Number of atoms : 220 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 289 ( 155 ~; 134 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 198 ( 198 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : m0(a,X,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
m0(c,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,axiom,
( ~ l0(c)
| n1(c,c,c) ),
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(f171,axiom,
! [J,A,B,C] :
( ~ m0(C,B,J)
| ~ s1(B)
| ~ p0(A,A)
| l2(J,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [F,G,H] :
( ~ l1(G,H)
| ~ s0(F)
| m2(F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f209,axiom,
! [A,B] :
( ~ p0(A,A)
| ~ n1(B,B,B)
| p2(A,A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f228,axiom,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f263,axiom,
! [J,A,B,C] :
( ~ s2(B)
| ~ m0(J,C,C)
| ~ l2(C,J)
| ~ m0(B,B,A)
| m3(J,A,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f284,axiom,
! [D] :
( ~ l2(D,D)
| p3(D,D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f305,axiom,
! [B,C,D] :
( ~ p2(B,D,C)
| r3(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f306,axiom,
! [H,I,J,A] :
( ~ r3(I,A,A)
| ~ m3(J,b,H)
| ~ m2(I)
| r3(H,H,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f326,axiom,
! [H,I,J,A] :
( ~ p4(J,J,A)
| ~ r3(I,I,H)
| p4(H,I,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f329,axiom,
! [I,J] :
( ~ p3(J,J,I)
| p4(I,I,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ p4(b,a,a),
file('/export/starexec/sandbox/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(f381,plain,
! [X0] : m0(a,X0,a),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f385,plain,
m0(c,b,a),
inference(cnf_transformation,[status(thm)],[f16]) ).
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(f405,plain,
q0(a,b),
inference(cnf_transformation,[status(thm)],[f36]) ).
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(f487,plain,
( ~ l0(c)
| n1(c,c,c) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
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(f619,plain,
! [J,B] :
( ! [C] : ~ m0(C,B,J)
| ~ s1(B)
| ! [A] : ~ p0(A,A)
| l2(J,J) ),
inference(miniscoping,[status(thm)],[f171]) ).
fof(f620,plain,
! [X0,X1,X2,X3] :
( ~ m0(X3,X2,X0)
| ~ s1(X2)
| ~ p0(X1,X1)
| l2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f619]) ).
fof(f623,plain,
( ! [G,H] : ~ l1(G,H)
| ! [F] :
( ~ s0(F)
| m2(F) ) ),
inference(miniscoping,[status(thm)],[f173]) ).
fof(f624,plain,
! [X0,X1,X2] :
( ~ l1(X1,X2)
| ~ s0(X0)
| m2(X0) ),
inference(cnf_transformation,[status(thm)],[f623]) ).
fof(f676,plain,
! [A] :
( ~ p0(A,A)
| ! [B] : ~ n1(B,B,B)
| p2(A,A,A) ),
inference(miniscoping,[status(thm)],[f209]) ).
fof(f677,plain,
! [X0,X1] :
( ~ p0(X0,X0)
| ~ n1(X1,X1,X1)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f676]) ).
fof(f705,plain,
( ~ s0(d)
| ~ s1(a)
| s2(d) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f757,plain,
! [B] :
( ~ s2(B)
| ! [J,C] :
( ~ m0(J,C,C)
| ~ l2(C,J)
| ! [A] :
( ~ m0(B,B,A)
| m3(J,A,J) ) ) ),
inference(miniscoping,[status(thm)],[f263]) ).
fof(f758,plain,
! [X0,X1,X2,X3] :
( ~ s2(X2)
| ~ m0(X0,X3,X3)
| ~ l2(X3,X0)
| ~ m0(X2,X2,X1)
| m3(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f757]) ).
fof(f787,plain,
! [X0] :
( ~ l2(X0,X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f284]) ).
fof(f820,plain,
! [B,C] :
( ! [D] : ~ p2(B,D,C)
| r3(B,C,B) ),
inference(miniscoping,[status(thm)],[f305]) ).
fof(f821,plain,
! [X0,X1,X2] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f822,plain,
! [I] :
( ! [A] : ~ r3(I,A,A)
| ! [H] :
( ! [J] : ~ m3(J,b,H)
| ~ m2(I)
| r3(H,H,I) ) ),
inference(miniscoping,[status(thm)],[f306]) ).
fof(f823,plain,
! [X0,X1,X2,X3] :
( ~ r3(X1,X3,X3)
| ~ m3(X2,b,X0)
| ~ m2(X1)
| r3(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f822]) ).
fof(f854,plain,
( ! [J,A] : ~ p4(J,J,A)
| ! [H,I] :
( ~ r3(I,I,H)
| p4(H,I,I) ) ),
inference(miniscoping,[status(thm)],[f326]) ).
fof(f855,plain,
! [X0,X1,X2,X3] :
( ~ p4(X2,X2,X3)
| ~ r3(X1,X1,X0)
| p4(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f854]) ).
fof(f860,plain,
! [I] :
( ! [J] : ~ p3(J,J,I)
| p4(I,I,I) ),
inference(miniscoping,[status(thm)],[f329]) ).
fof(f861,plain,
! [X0,X1] :
( ~ p3(X1,X1,X0)
| p4(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f860]) ).
fof(f924,plain,
~ p4(b,a,a),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f935,plain,
n1(c,c,c),
inference(forward_subsumption_resolution,[status(thm)],[f487,f393]) ).
fof(f959,plain,
( ~ s1(a)
| s2(d) ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f370]) ).
fof(f992,plain,
! [X0,X1,X2] :
( ~ m0(X2,X1,X0)
| ~ s1(X1)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f620,f383]) ).
fof(f1003,plain,
! [X0,X1,X2] :
( ~ p0(X2,X2)
| ~ m0(X1,X2,X0)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f992,f607]) ).
fof(f1015,plain,
! [X0,X1] :
( ~ m0(X1,b,X0)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f1003,f383]) ).
fof(f1018,plain,
l2(a,a),
inference(resolution,[status(thm)],[f1015,f385]) ).
fof(f1035,plain,
p3(a,a,a),
inference(resolution,[status(thm)],[f1018,f787]) ).
fof(f1066,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p4(X4,X4,X5)
| p4(X0,X2,X2)
| ~ r3(X0,X3,X3)
| ~ m3(X1,b,X2)
| ~ m2(X0) ),
inference(resolution,[status(thm)],[f823,f855]) ).
fof(f1067,plain,
! [X0,X1,X2,X3] :
( ~ p4(X2,X2,X3)
| ~ r3(b,X1,X1)
| ~ m3(X0,b,a)
| ~ m2(b) ),
inference(resolution,[status(thm)],[f1066,f924]) ).
fof(f1071,plain,
! [X0,X1,X2,X3,X4] :
( ~ s2(X3)
| ~ m0(a,X4,X4)
| ~ l2(X4,a)
| ~ m0(X3,X3,b)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0)
| ~ m2(b) ),
inference(resolution,[status(thm)],[f1067,f758]) ).
fof(f1072,plain,
! [X0,X1,X2,X3] :
( ~ s2(X3)
| ~ m0(a,a,a)
| ~ m0(X3,X3,b)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0)
| ~ m2(b) ),
inference(resolution,[status(thm)],[f1071,f1018]) ).
fof(f1073,plain,
! [X0,X1,X2,X3] :
( ~ s2(X3)
| ~ m0(X3,X3,b)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0)
| ~ m2(b) ),
inference(forward_subsumption_resolution,[status(thm)],[f1072,f381]) ).
fof(f1074,plain,
! [X0,X1,X2] :
( ~ s2(d)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0)
| ~ m2(b) ),
inference(resolution,[status(thm)],[f1073,f388]) ).
fof(f1076,plain,
! [X0,X1,X2,X3,X4] :
( ~ l1(X3,X4)
| ~ s0(b)
| ~ s2(d)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0) ),
inference(resolution,[status(thm)],[f1074,f624]) ).
fof(f1077,plain,
! [X0,X1,X2,X3,X4] :
( ~ l1(X3,X4)
| ~ s2(d)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f374]) ).
fof(f1093,plain,
! [X0,X1,X2,X3,X4] :
( ~ s1(a)
| ~ l1(X3,X4)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0) ),
inference(resolution,[status(thm)],[f1077,f959]) ).
fof(f1095,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ s1(X6)
| ~ q0(a,X5)
| ~ l1(X3,X4)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0) ),
inference(resolution,[status(thm)],[f1093,f609]) ).
fof(f1109,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p0(X6,X6)
| ~ q0(a,X5)
| ~ l1(X3,X4)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0) ),
inference(resolution,[status(thm)],[f1095,f607]) ).
fof(f1117,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ q0(a,X5)
| ~ l1(X3,X4)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0) ),
inference(resolution,[status(thm)],[f1109,f383]) ).
fof(f1118,plain,
! [X0,X1,X2,X3,X4] :
( ~ l1(X3,X4)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0) ),
inference(resolution,[status(thm)],[f1117,f405]) ).
fof(f1127,plain,
! [X0,X1,X2,X3,X4] :
( ~ n0(X3,X4)
| ~ p4(X1,X1,X2)
| ~ r3(b,X0,X0) ),
inference(resolution,[status(thm)],[f1118,f411]) ).
fof(f1135,plain,
! [X0,X1,X2,X3,X4] :
( ~ p2(b,X4,b)
| ~ n0(X2,X3)
| ~ p4(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1127,f821]) ).
fof(f1137,plain,
! [X0,X1,X2] :
( ~ p2(b,X2,b)
| ~ p4(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1135,f406]) ).
fof(f1172,plain,
! [X0,X1,X2] :
( ~ p3(X1,X1,X2)
| ~ p2(b,X0,b) ),
inference(resolution,[status(thm)],[f1137,f861]) ).
fof(f1175,plain,
! [X0] : ~ p2(b,X0,b),
inference(resolution,[status(thm)],[f1172,f1035]) ).
fof(f1188,plain,
! [X0] :
( ~ p0(b,b)
| ~ n1(X0,X0,X0) ),
inference(resolution,[status(thm)],[f1175,f677]) ).
fof(f1207,plain,
! [X0] : ~ n1(X0,X0,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1188,f383]) ).
fof(f1208,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f935,f1207]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN269-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n015.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 10:50:52 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 0.13/0.42 % Refutation found
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.57/1.65 % Elapsed time: 1.075797 seconds
% 1.57/1.65 % CPU time: 0.357862 seconds
% 1.57/1.65 % Total memory used: 67.889 MB
% 1.57/1.65 % Net memory used: 67.390 MB
%------------------------------------------------------------------------------