%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN109-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 03:15:14 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 12 unt; 0 def)
% Number of atoms : 73 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 47 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 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 : 64 ( 64 !; 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(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
q0(d,c),
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(f45,axiom,
! [G,H,I] :
( ~ r0(G)
| ~ p0(I,H)
| m1(G,H,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f131,axiom,
! [H,I] :
( ~ q0(I,H)
| q1(H,H,H) ),
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(b,c),
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(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f402,plain,
q0(d,c),
inference(cnf_transformation,[status(thm)],[f33]) ).
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(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(f556,plain,
! [H] :
( ! [I] : ~ q0(I,H)
| q1(H,H,H) ),
inference(miniscoping,[status(thm)],[f131]) ).
fof(f557,plain,
! [X0,X1] :
( ~ q0(X1,X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f556]) ).
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(b,c),
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(f935,plain,
! [X0,X1,X2,X3,X4] :
( ~ k2(X4,X1)
| k2(X2,X1)
| ~ n0(X3,X4)
| ~ r0(X2)
| ~ p0(X0,X1) ),
inference(resolution,[status(thm)],[f420,f928]) ).
fof(f936,plain,
! [X0,X1,X2] :
( ~ k2(X2,c)
| ~ n0(X1,X2)
| ~ r0(b)
| ~ p0(X0,c) ),
inference(resolution,[status(thm)],[f935,f924]) ).
fof(f937,plain,
! [X0,X1,X2] :
( ~ k2(X2,c)
| ~ n0(X1,X2)
| ~ p0(X0,c) ),
inference(forward_subsumption_resolution,[status(thm)],[f936,f378]) ).
fof(f938,plain,
! [X0,X1] :
( ~ k2(X1,c)
| ~ n0(X0,X1) ),
inference(resolution,[status(thm)],[f937,f383]) ).
fof(f942,plain,
! [X0,X1] :
( ~ q1(X1,c,c)
| ~ n0(X0,c) ),
inference(resolution,[status(thm)],[f938,f614]) ).
fof(f999,plain,
! [X0,X1] :
( ~ n0(X1,c)
| ~ q0(X0,c) ),
inference(resolution,[status(thm)],[f557,f942]) ).
fof(f1005,plain,
! [X0] : ~ n0(X0,c),
inference(resolution,[status(thm)],[f999,f402]) ).
fof(f1007,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f395,f1005]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN109-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/10.37 % Computer : n008.cluster.edu
% 0.10/10.37 % Model : x86_64 x86_64
% 0.10/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.37 % Memory : 8046.5625MB
% 0.10/10.37 % OS : Linux 6.8.0-71-generic
% 0.10/10.37 % CPULimit : 300
% 0.10/10.37 % WCLimit : 300
% 0.10/10.37 % DateTime : Mon Sep 21 10:44:36 UTC 2026
% 0.10/10.37 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 0.14/10.42 % Refutation found
% 0.14/10.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.45 % Elapsed time: 0.065768 seconds
% 0.14/10.45 % CPU time: 0.206432 seconds
% 0.14/10.45 % Total memory used: 70.414 MB
% 0.14/10.45 % Net memory used: 70.213 MB
%------------------------------------------------------------------------------