%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN216-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 03:15:30 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.41s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 21 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 105 ( 56 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f20,axiom,
l0(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
m0(b,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [H,I,J,A] :
( ~ m1(J,A,I)
| ~ m1(J,I,H)
| m1(H,I,I) ),
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(f62,axiom,
! [F,G,H] :
( ~ m1(G,c,G)
| ~ q0(F,G)
| ~ m0(a,H,a)
| m1(F,a,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [H,I] :
( ~ s0(H)
| ~ p0(H,I)
| m1(H,I,H) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ l2(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f389,plain,
l0(a),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f405,plain,
q0(a,b),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f407,plain,
m0(b,a,a),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f434,plain,
! [I,J] :
( ! [A] : ~ m1(J,A,I)
| ! [H] :
( ~ m1(J,I,H)
| m1(H,I,I) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( ~ m1(X2,X3,X1)
| ~ m1(X2,X1,X0)
| m1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
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(f446,plain,
! [G] :
( ~ m1(G,c,G)
| ! [F] :
( ~ q0(F,G)
| ! [H] : ~ m0(a,H,a)
| m1(F,a,G) ) ),
inference(miniscoping,[status(thm)],[f62]) ).
fof(f447,plain,
! [X0,X1,X2] :
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| ~ m0(a,X2,a)
| m1(X0,a,X1) ),
inference(cnf_transformation,[status(thm)],[f446]) ).
fof(f454,plain,
! [H] :
( ~ s0(H)
| ! [I] :
( ~ p0(H,I)
| m1(H,I,H) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f455,plain,
! [X0,X1] :
( ~ s0(X0)
| ~ p0(X0,X1)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f454]) ).
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(f924,plain,
~ l2(a,a),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f926,plain,
! [X0,X1] :
( ~ m1(X1,b,b)
| ~ m0(b,X0,X1)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f383,f622]) ).
fof(f994,plain,
! [X0,X1,X2,X3] :
( ~ m0(b,X3,X1)
| l2(X3,X3)
| ~ m1(X0,X2,b)
| ~ m1(X0,b,X1) ),
inference(resolution,[status(thm)],[f435,f926]) ).
fof(f1005,plain,
! [X0,X1,X2] :
( ~ m0(b,a,X1)
| ~ m1(X0,X2,b)
| ~ m1(X0,b,X1) ),
inference(resolution,[status(thm)],[f994,f924]) ).
fof(f1006,plain,
! [X0,X1] :
( ~ m1(X0,X1,b)
| ~ m1(X0,b,a) ),
inference(resolution,[status(thm)],[f1005,f407]) ).
fof(f1028,plain,
! [X0] :
( ~ l0(X0)
| m1(X0,b,X0) ),
inference(resolution,[status(thm)],[f443,f401]) ).
fof(f1031,plain,
! [X0,X1] :
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| m1(X0,a,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f381]) ).
fof(f1034,plain,
m1(a,b,a),
inference(resolution,[status(thm)],[f1028,f389]) ).
fof(f1035,plain,
! [X0] : ~ m1(a,X0,b),
inference(resolution,[status(thm)],[f1034,f1006]) ).
fof(f1036,plain,
( ~ m1(b,c,b)
| ~ q0(a,b) ),
inference(resolution,[status(thm)],[f1035,f1031]) ).
fof(f1038,plain,
~ m1(b,c,b),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f405]) ).
fof(f1077,plain,
! [X0] :
( ~ p0(b,X0)
| m1(b,X0,b) ),
inference(resolution,[status(thm)],[f455,f374]) ).
fof(f1079,plain,
! [X0] : m1(b,X0,b),
inference(forward_subsumption_resolution,[status(thm)],[f1077,f383]) ).
fof(f1081,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f1038,f1079]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN216-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 10:48:14 UTC 2026
% 0.02/0.38 % CPUTime :
% 0.02/0.40 % Drodi V4.1.1
% 0.02/0.41 % Refutation found
% 0.02/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.44 % Elapsed time: 0.054970 seconds
% 0.02/0.44 % CPU time: 0.128552 seconds
% 0.02/0.44 % Total memory used: 28.606 MB
% 0.02/0.44 % Net memory used: 28.534 MB
%------------------------------------------------------------------------------