%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN123-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:15:17 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 12 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 49 ( 26 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [G,H,I] :
( ~ r0(G)
| ~ p0(I,H)
| m1(G,H,G) ),
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(f369,negated_conjecture,
~ l2(d,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f378,plain,
r0(b),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
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(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(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(d,d),
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(f932,plain,
! [X0,X1] :
( ~ m0(b,X1,b)
| l2(X1,X1)
| ~ r0(b)
| ~ p0(X0,b) ),
inference(resolution,[status(thm)],[f420,f926]) ).
fof(f933,plain,
! [X0,X1] :
( ~ m0(b,X1,b)
| l2(X1,X1)
| ~ p0(X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f932,f378]) ).
fof(f934,plain,
! [X0] :
( l2(d,d)
| ~ p0(X0,b) ),
inference(resolution,[status(thm)],[f933,f388]) ).
fof(f935,plain,
! [X0] : ~ p0(X0,b),
inference(forward_subsumption_resolution,[status(thm)],[f934,f924]) ).
fof(f937,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f387,f935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN123-1 : 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 : n018.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 10:45:59 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.067979 seconds
% 0.14/0.44 % CPU time: 0.171965 seconds
% 0.14/0.44 % Total memory used: 69.973 MB
% 0.14/0.44 % Net memory used: 69.817 MB
%------------------------------------------------------------------------------