%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN168-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 03:15:23 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [D] :
( ~ k0(D)
| p1(D,D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,axiom,
! [A] :
( ~ k1(A)
| p2(A,A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f274,axiom,
! [A] :
( ~ n2(A)
| m3(A,A,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f289,axiom,
! [A,B,C,D] :
( ~ p2(A,B,D)
| ~ m3(B,C,D)
| p3(A,B,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
! [X,Y] : ~ p3(X,Y,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f384,plain,
n0(a,b),
inference(cnf_transformation,[status(thm)],[f15]) ).
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(f517,plain,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f626,plain,
! [A] :
( ! [B,C] : ~ p1(B,C,A)
| n2(A) ),
inference(miniscoping,[status(thm)],[f175]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f659,plain,
! [X0] :
( ~ k1(X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f774,plain,
! [X0] :
( ~ n2(X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f274]) ).
fof(f795,plain,
! [A,B,D] :
( ~ p2(A,B,D)
| ! [C] : ~ m3(B,C,D)
| p3(A,B,B) ),
inference(miniscoping,[status(thm)],[f289]) ).
fof(f796,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,X1,X3)
| ~ m3(X1,X2,X3)
| p3(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f924,plain,
! [X0,X1] : ~ p3(X0,X1,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f927,plain,
k1(b),
inference(resolution,[status(thm)],[f409,f384]) ).
fof(f943,plain,
! [X0] :
( ~ k0(X0)
| n2(X0) ),
inference(resolution,[status(thm)],[f627,f517]) ).
fof(f944,plain,
! [X0] :
( ~ k0(X0)
| m3(X0,X0,X0) ),
inference(resolution,[status(thm)],[f774,f943]) ).
fof(f951,plain,
! [X0,X1] :
( ~ p2(X1,X0,X0)
| p3(X1,X0,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[f944,f796]) ).
fof(f952,plain,
! [X0] :
( ~ k1(X0)
| p3(X0,X0,X0)
| ~ k0(X0) ),
inference(resolution,[status(thm)],[f951,f659]) ).
fof(f953,plain,
( ~ k1(b)
| p3(b,b,b) ),
inference(resolution,[status(thm)],[f952,f401]) ).
fof(f955,plain,
~ k1(b),
inference(forward_subsumption_resolution,[status(thm)],[f953,f924]) ).
fof(f957,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f955,f927]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN168-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:46:46 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.058068 seconds
% 0.13/0.42 % CPU time: 0.098805 seconds
% 0.13/0.42 % Total memory used: 13.081 MB
% 0.13/0.42 % Net memory used: 13.056 MB
%------------------------------------------------------------------------------