%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN148-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 03:15:20 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 60 ( 31 ~; 29 |; 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 : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [D,E] :
( ~ p0(b,E)
| ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f92,axiom,
! [E,F,G] :
( ~ n1(E,F,E)
| ~ l1(G,E)
| ~ l0(G)
| n1(E,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ n1(c,d,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f374,plain,
s0(b),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f410,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| l1(G,G) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f411,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f488,plain,
! [E] :
( ~ p0(b,E)
| ! [D] :
( ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f489,plain,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f495,plain,
! [E,F] :
( ~ n1(E,F,E)
| ! [G] :
( ~ l1(G,E)
| ~ l0(G)
| n1(E,F,F) ) ),
inference(miniscoping,[status(thm)],[f92]) ).
fof(f496,plain,
! [X0,X1,X2] :
( ~ n1(X0,X1,X0)
| ~ l1(X2,X0)
| ~ l0(X2)
| n1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f495]) ).
fof(f924,plain,
~ n1(c,d,d),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f1076,plain,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| n1(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f374]) ).
fof(f1077,plain,
! [X0,X1] :
( ~ l0(X0)
| n1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f1076,f383]) ).
fof(f1082,plain,
! [X0,X1] :
( ~ n1(X0,X1,X0)
| ~ l1(c,X0)
| n1(X0,X1,X1) ),
inference(resolution,[status(thm)],[f496,f393]) ).
fof(f1084,plain,
! [X0] : n1(c,X0,c),
inference(resolution,[status(thm)],[f1077,f393]) ).
fof(f1764,plain,
! [X0,X1] :
( ~ n0(X1,c)
| ~ n1(c,X0,c)
| n1(c,X0,X0) ),
inference(resolution,[status(thm)],[f1082,f411]) ).
fof(f1766,plain,
! [X0,X1] :
( ~ n0(X1,c)
| n1(c,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1764,f1084]) ).
fof(f1767,plain,
! [X0] : n1(c,X0,X0),
inference(resolution,[status(thm)],[f1766,f395]) ).
fof(f1770,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f924,f1767]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN148-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:44:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.44 % Elapsed time: 0.074223 seconds
% 0.15/0.44 % CPU time: 0.261075 seconds
% 0.15/0.44 % Total memory used: 71.324 MB
% 0.15/0.44 % Net memory used: 71.055 MB
%------------------------------------------------------------------------------