%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN250-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 03:15:34 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 43 ( 18 unt; 0 def)
% Number of atoms : 90 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 61 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 67 ( 67 !; 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(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(f21,axiom,
q0(b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
q0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [B,C] :
( ~ m0(C,C,B)
| m1(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [G,H,I] :
( ~ r0(G)
| ~ p0(I,H)
| m1(G,H,G) ),
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(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(f369,negated_conjecture,
~ m1(e,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(f382,plain,
r0(e),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f390,plain,
q0(b,e),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f405,plain,
q0(a,b),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f416,plain,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f419,plain,
! [G] :
( ~ r0(G)
| ! [H] :
( ! [I] : ~ p0(I,H)
| m1(G,H,G) ) ),
inference(miniscoping,[status(thm)],[f45]) ).
fof(f420,plain,
! [X0,X1,X2] :
( ~ r0(X0)
| ~ p0(X2,X1)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
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(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(f924,plain,
~ m1(e,a,a),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
! [X0,X1] :
( ~ m1(X0,X1,a)
| ~ m1(X0,a,e) ),
inference(resolution,[status(thm)],[f435,f924]) ).
fof(f926,plain,
m1(a,a,a),
inference(resolution,[status(thm)],[f381,f416]) ).
fof(f939,plain,
! [X0,X1] :
( ~ m1(X1,c,X1)
| ~ q0(X0,X1)
| m1(X0,a,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f381]) ).
fof(f942,plain,
! [X0,X1] :
( ~ m1(X0,X1,a)
| ~ m1(e,c,e)
| ~ q0(X0,e) ),
inference(resolution,[status(thm)],[f939,f925]) ).
fof(f944,plain,
! [X0] :
( ~ m1(b,X0,a)
| ~ m1(e,c,e) ),
inference(resolution,[status(thm)],[f942,f390]) ).
fof(f946,plain,
! [X0,X1] :
( ~ r0(e)
| ~ p0(X1,c)
| ~ m1(b,X0,a) ),
inference(resolution,[status(thm)],[f944,f420]) ).
fof(f947,plain,
! [X0,X1] :
( ~ p0(X1,c)
| ~ m1(b,X0,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f946,f382]) ).
fof(f948,plain,
! [X0] : ~ m1(b,X0,a),
inference(resolution,[status(thm)],[f947,f383]) ).
fof(f950,plain,
! [X0,X1] :
( ~ m1(X0,X1,a)
| ~ m1(X0,a,b) ),
inference(resolution,[status(thm)],[f948,f435]) ).
fof(f953,plain,
! [X0,X1] :
( ~ m1(b,c,b)
| ~ q0(X0,b)
| ~ m1(X0,X1,a) ),
inference(resolution,[status(thm)],[f950,f939]) ).
fof(f957,plain,
! [X0,X1] :
( ~ s0(b)
| ~ p0(b,c)
| ~ q0(X0,b)
| ~ m1(X0,X1,a) ),
inference(resolution,[status(thm)],[f953,f455]) ).
fof(f960,plain,
! [X0,X1] :
( ~ s0(b)
| ~ q0(X0,b)
| ~ m1(X0,X1,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f957,f383]) ).
fof(f962,plain,
! [X0,X1] :
( ~ q0(X0,b)
| ~ m1(X0,X1,a) ),
inference(forward_subsumption_resolution,[status(thm)],[f960,f374]) ).
fof(f963,plain,
! [X0] : ~ m1(a,X0,a),
inference(resolution,[status(thm)],[f962,f405]) ).
fof(f967,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f926,f963]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN250-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n010.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
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:47:40 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.064139 seconds
% 0.14/0.43 % CPU time: 0.182130 seconds
% 0.14/0.43 % Total memory used: 70.189 MB
% 0.14/0.43 % Net memory used: 70.017 MB
%------------------------------------------------------------------------------