%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN178-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 03:15:24 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.44s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 18 unt; 0 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 118 ( 62 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
n0(d,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : q0(X,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X,Y] : m0(X,d,Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f148,axiom,
! [B,C,D] :
( ~ m0(C,D,B)
| q1(B,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f162,axiom,
! [D,E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f224,axiom,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f225,axiom,
! [C,D,E,F] :
( ~ q2(D,D,D)
| ~ k0(D)
| ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f293,axiom,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ q3(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f370,plain,
s0(d),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f376,plain,
n0(d,b),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f384,plain,
n0(a,b),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f386,plain,
! [X0] : q0(X0,d),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
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(f583,plain,
! [B] :
( ! [C,D] : ~ m0(C,D,B)
| q1(B,B,B) ),
inference(miniscoping,[status(thm)],[f148]) ).
fof(f584,plain,
! [X0,X1,X2] :
( ~ m0(X1,X2,X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f583]) ).
fof(f605,plain,
! [E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ! [D] :
( ~ q0(D,E)
| r1(D) ) ),
inference(miniscoping,[status(thm)],[f162]) ).
fof(f606,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f700,plain,
! [D] :
( ~ q2(D,D,D)
| ~ k0(D)
| ! [C] :
( ! [E,F] : ~ m0(E,F,C)
| ~ r1(D)
| q2(C,D,C) ) ),
inference(miniscoping,[status(thm)],[f225]) ).
fof(f701,plain,
! [X0,X1,X2,X3] :
( ~ q2(X1,X1,X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| ~ r1(X1)
| q2(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f700]) ).
fof(f801,plain,
! [G,I] :
( ~ n0(I,G)
| ! [H] :
( ~ q2(I,G,H)
| q3(G,H) ) ),
inference(miniscoping,[status(thm)],[f293]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f924,plain,
~ q3(b,d),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f952,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f370]) ).
fof(f967,plain,
! [X0] :
( ~ q2(d,b,X0)
| q3(b,X0) ),
inference(resolution,[status(thm)],[f376,f802]) ).
fof(f1024,plain,
! [X0,X1,X2,X3,X4] :
( ~ q1(d,X4,d)
| ~ q0(X1,X4)
| ~ q2(X1,X1,X1)
| ~ k0(X1)
| ~ m0(X2,X3,X0)
| q2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f701,f952]) ).
fof(f1148,plain,
! [X0,X1,X2,X3] :
( ~ q1(d,X3,d)
| ~ q0(b,X3)
| ~ q2(b,b,b)
| ~ m0(X1,X2,X0)
| q2(X0,b,X0) ),
inference(resolution,[status(thm)],[f1024,f401]) ).
fof(f1252,plain,
! [X0,X1,X2] :
( ~ q1(d,d,d)
| ~ q2(b,b,b)
| ~ m0(X1,X2,X0)
| q2(X0,b,X0) ),
inference(resolution,[status(thm)],[f1148,f386]) ).
fof(f1305,plain,
! [X0,X1] :
( q3(b,d)
| ~ q1(d,d,d)
| ~ q2(b,b,b)
| ~ m0(X0,X1,d) ),
inference(resolution,[status(thm)],[f1252,f967]) ).
fof(f1306,plain,
! [X0,X1] :
( q3(b,d)
| ~ q2(b,b,b)
| ~ m0(X0,X1,d) ),
inference(forward_subsumption_resolution,[status(thm)],[f1305,f584]) ).
fof(f1311,plain,
! [X0,X1] :
( ~ q2(b,b,b)
| ~ m0(X0,X1,d) ),
inference(resolution,[status(thm)],[f1306,f924]) ).
fof(f1312,plain,
~ q2(b,b,b),
inference(resolution,[status(thm)],[f1311,f388]) ).
fof(f1320,plain,
~ l1(b,b),
inference(resolution,[status(thm)],[f1312,f699]) ).
fof(f1323,plain,
! [X0] : ~ n0(X0,b),
inference(resolution,[status(thm)],[f1320,f411]) ).
fof(f1325,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f384,f1323]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN178-1 : 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 : n004.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 10:45:35 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.39 % Drodi V4.1.1
% 0.14/0.44 % Refutation found
% 0.14/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.47 % Elapsed time: 0.093328 seconds
% 0.14/0.47 % CPU time: 0.387346 seconds
% 0.14/0.47 % Total memory used: 74.709 MB
% 0.14/0.47 % Net memory used: 74.163 MB
%------------------------------------------------------------------------------