%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN111-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 03:15:15 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.31s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 80 ( 44 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,axiom,
! [I,J] :
( ~ k0(J)
| ~ l0(I)
| m1(I,J,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f154,axiom,
! [E] :
( ~ r0(E)
| q1(E,E,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f165,axiom,
! [C,D,E,F] :
( ~ k2(F,D)
| ~ k1(F)
| ~ m1(E,D,C)
| k2(C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f167,axiom,
! [J,A] :
( ~ q1(A,J,J)
| k2(J,J) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ k2(c,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f378,plain,
r0(b),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f384,plain,
n0(a,b),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f408,plain,
! [I] :
( ! [J] : ~ n0(J,I)
| k1(I) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f409,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(thm)],[f408]) ).
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(f593,plain,
! [X0] :
( ~ r0(X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f154]) ).
fof(f610,plain,
! [D,F] :
( ~ k2(F,D)
| ~ k1(F)
| ! [C] :
( ! [E] : ~ m1(E,D,C)
| k2(C,D) ) ),
inference(miniscoping,[status(thm)],[f165]) ).
fof(f611,plain,
! [X0,X1,X2,X3] :
( ~ k2(X3,X1)
| ~ k1(X3)
| ~ m1(X2,X1,X0)
| k2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f610]) ).
fof(f613,plain,
! [J] :
( ! [A] : ~ q1(A,J,J)
| k2(J,J) ),
inference(miniscoping,[status(thm)],[f167]) ).
fof(f614,plain,
! [X0,X1] :
( ~ q1(X1,X0,X0)
| k2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f613]) ).
fof(f924,plain,
~ k2(c,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f928,plain,
! [X0,X1,X2,X3,X4] :
( ~ k2(X1,X3)
| ~ m1(X4,X3,X2)
| k2(X2,X3)
| ~ n0(X0,X1) ),
inference(resolution,[status(thm)],[f409,f611]) ).
fof(f954,plain,
! [X0,X1,X2,X3] :
( ~ k2(X3,X1)
| k2(X0,X1)
| ~ n0(X2,X3)
| ~ k0(X1)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[f443,f928]) ).
fof(f955,plain,
! [X0,X1] :
( ~ k2(X1,b)
| ~ n0(X0,X1)
| ~ k0(b)
| ~ l0(c) ),
inference(resolution,[status(thm)],[f954,f924]) ).
fof(f956,plain,
! [X0,X1] :
( ~ k2(X1,b)
| ~ n0(X0,X1)
| ~ k0(b) ),
inference(forward_subsumption_resolution,[status(thm)],[f955,f393]) ).
fof(f962,plain,
! [X0,X1] :
( ~ k2(X1,b)
| ~ n0(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f956,f401]) ).
fof(f965,plain,
~ k2(b,b),
inference(resolution,[status(thm)],[f962,f384]) ).
fof(f985,plain,
! [X0] : ~ q1(X0,b,b),
inference(resolution,[status(thm)],[f965,f614]) ).
fof(f992,plain,
~ r0(b),
inference(resolution,[status(thm)],[f985,f593]) ).
fof(f994,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f992,f378]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN111-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 10:43:22 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.30 % Drodi V4.1.1
% 0.02/0.31 % Refutation found
% 0.02/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.33 % Elapsed time: 0.030590 seconds
% 0.02/0.33 % CPU time: 0.056951 seconds
% 0.02/0.33 % Total memory used: 15.743 MB
% 0.02/0.33 % Net memory used: 15.700 MB
%------------------------------------------------------------------------------