%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN116-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 03:15:16 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.41s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 12 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 39 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
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(f95,axiom,
! [D] :
( ~ r0(D)
| n1(D,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [D] :
( ~ k0(D)
| p1(D,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f337,axiom,
! [A,B,C,D] :
( ~ l1(A,C)
| ~ p3(B,C,D)
| s4(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f339,axiom,
( ~ n1(b,b,b)
| ~ s4(e)
| k5(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ k5(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f378,plain,
r0(b),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f397,plain,
k0(e),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
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(f499,plain,
! [X0] :
( ~ r0(X0)
| n1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f95]) ).
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(f784,plain,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f873,plain,
! [A,C] :
( ~ l1(A,C)
| ! [B,D] : ~ p3(B,C,D)
| s4(A) ),
inference(miniscoping,[status(thm)],[f337]) ).
fof(f874,plain,
! [X0,X1,X2,X3] :
( ~ l1(X0,X2)
| ~ p3(X1,X2,X3)
| s4(X0) ),
inference(cnf_transformation,[status(thm)],[f873]) ).
fof(f877,plain,
( ~ n1(b,b,b)
| ~ s4(e)
| k5(b) ),
inference(cnf_transformation,[status(thm)],[f339]) ).
fof(f924,plain,
~ k5(b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
( ~ n1(b,b,b)
| ~ s4(e) ),
inference(forward_subsumption_resolution,[status(thm)],[f877,f924]) ).
fof(f926,plain,
( ~ s4(e)
| ~ r0(b) ),
inference(resolution,[status(thm)],[f499,f925]) ).
fof(f927,plain,
~ s4(e),
inference(forward_subsumption_resolution,[status(thm)],[f926,f378]) ).
fof(f980,plain,
! [X0,X1] :
( ~ n2(X1)
| ~ l1(X0,X1)
| s4(X0) ),
inference(resolution,[status(thm)],[f874,f784]) ).
fof(f981,plain,
! [X0,X1,X2,X3] :
( ~ p1(X2,X3,X1)
| ~ l1(X0,X1)
| s4(X0) ),
inference(resolution,[status(thm)],[f980,f627]) ).
fof(f992,plain,
! [X0,X1,X2,X3] :
( ~ n0(X3,X0)
| ~ p1(X1,X2,X0)
| s4(X0) ),
inference(resolution,[status(thm)],[f981,f411]) ).
fof(f994,plain,
! [X0,X1,X2] :
( ~ n0(X2,e)
| ~ p1(X0,X1,e) ),
inference(resolution,[status(thm)],[f992,f927]) ).
fof(f999,plain,
! [X0,X1] : ~ p1(X0,X1,e),
inference(resolution,[status(thm)],[f994,f399]) ).
fof(f1018,plain,
~ k0(e),
inference(resolution,[status(thm)],[f999,f517]) ).
fof(f1022,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1018,f397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN116-1 : 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 : n016.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 10:48:52 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.38 % Drodi V4.1.1
% 0.02/0.41 % Refutation found
% 0.02/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.44 % Elapsed time: 0.069443 seconds
% 0.02/0.44 % CPU time: 0.203862 seconds
% 0.02/0.44 % Total memory used: 70.485 MB
% 0.02/0.44 % Net memory used: 70.298 MB
%------------------------------------------------------------------------------