%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 01:08:32 PM UTC 2026
% Result : Theorem 0.03s 0.32s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 4 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 85 ( 39 ~; 31 |; 15 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 34 ( 23 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : r1(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
~ ? [X] :
~ ( ~ ! [Y] :
( ~ ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| $false
| ~ r1(X,Y) )
| $false ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ~ ? [X] :
~ ( ~ ! [Y] :
( ~ ! [X] :
( ~ ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
| ~ r1(Y,X) )
| $false
| ~ r1(X,Y) )
| $false ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f9,plain,
? [X] :
( ! [Y] :
( ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& r1(Y,X) )
| $false
| ~ r1(X,Y) )
& $true ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
( ? [X] :
! [Y] :
( ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(X,Y) )
& ? [Y] :
( ~ p1(Y)
& r1(X,Y) )
& r1(Y,X) )
| $false
| ~ r1(X,Y) )
& $true ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f11,plain,
( ! [Y] :
( ( ! [Y] :
( p1(Y)
| ~ r1(sK1_skl(Y),Y) )
& ~ p1(sK2_skl(Y))
& r1(sK1_skl(Y),sK2_skl(Y))
& r1(Y,sK1_skl(Y)) )
| $false
| ~ r1(sK0_skl,Y) )
& $true ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X,sK0_skl),skolemize(X,sK1_skl(Y)),skolemize(Y,sK2_skl(Y))],[f10]) ).
fof(f12,plain,
? [X] :
! [Y] :
( ? [X] :
( ! [Y] :
( p1(Y)
| ~ r1(sK1_skl(Y),Y) )
& ? [Y] :
( ~ p1(sK2_skl(Y))
& r1(sK1_skl(Y),sK2_skl(Y)) )
& r1(Y,sK1_skl(Y)) )
| ~ r1(sK0_skl,Y) ),
inference(true_and_false_simplification,[status(thm)],[f11]) ).
fof(f14,plain,
! [X0] :
( r1(sK1_skl(X0),sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f15,plain,
! [X0] :
( ~ p1(sK2_skl(X0))
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f16,plain,
! [X0,X1] :
( p1(X1)
| ~ r1(sK1_skl(X0),X1)
| ~ r1(sK0_skl,X0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f17,plain,
! [X0] :
( p1(X0)
| ~ r1(sK1_skl(sK0_skl),X0) ),
inference(resolution,[status(thm)],[f5,f16]) ).
fof(f21,plain,
( ~ r1(sK0_skl,sK0_skl)
| p1(sK2_skl(sK0_skl)) ),
inference(resolution,[status(thm)],[f17,f14]) ).
fof(f23,plain,
~ r1(sK0_skl,sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f21,f15]) ).
fof(f24,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f23,f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL678+1.001 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 00:54:36 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.34 % Elapsed time: 0.039390 seconds
% 0.03/0.34 % CPU time: 0.096995 seconds
% 0.03/0.34 % Total memory used: 39.809 MB
% 0.03/0.34 % Net memory used: 39.412 MB
%------------------------------------------------------------------------------