%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV165+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 02:46:47 PM UTC 2026
% Result : Theorem 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 11 unt; 2 def)
% Number of atoms : 73 ( 11 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 63 ( 26 ~; 20 |; 10 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 28 ( 26 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
! [A] :
( ( leq(A,tptp_minus_1)
& leq(n0,A) )
=> uninit = init ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ! [A] :
( ( leq(A,tptp_minus_1)
& leq(n0,A) )
=> uninit = init ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f58,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [X] :
( ( leq(X,n0)
& leq(n0,X) )
=> X = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f93,plain,
! [X,Y,Z] :
( leq(X,Z)
| ~ leq(Y,Z)
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f94,plain,
! [X,Z] :
( leq(X,Z)
| ! [Y] :
( ~ leq(Y,Z)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f104,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f105,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f244,plain,
? [A] :
( uninit != init
& leq(A,tptp_minus_1)
& leq(n0,A) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f245,plain,
( uninit != init
& ? [A] :
( leq(A,tptp_minus_1)
& leq(n0,A) ) ),
inference(miniscoping,[status(thm)],[f244]) ).
fof(f246,plain,
( uninit != init
& leq(sK23_skl,tptp_minus_1)
& leq(n0,sK23_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl]),skolemize(A,sK23_skl)],[f245]) ).
fof(f247,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
leq(sK23_skl,tptp_minus_1),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f253,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f275,plain,
! [X] :
( X = n0
| ~ leq(X,n0)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f78]) ).
fof(f276,plain,
! [X0] :
( X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f275]) ).
fof(f326,plain,
! [X0] :
( leq(X0,tptp_minus_1)
| ~ leq(X0,sK23_skl) ),
inference(resolution,[status(thm)],[f95,f248]) ).
fof(f329,plain,
leq(n0,tptp_minus_1),
inference(resolution,[status(thm)],[f326,f247]) ).
fof(f334,plain,
( tptp_minus_1 = n0
| ~ leq(tptp_minus_1,n0) ),
inference(resolution,[status(thm)],[f276,f329]) ).
fof(f337,definition,
( sQ0_spl
<=> leq(tptp_minus_1,n0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( sQ0_spl
| ~ leq(tptp_minus_1,n0) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,definition,
( sQ1_spl
<=> tptp_minus_1 = n0 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f341,plain,
( ~ sQ1_spl
| tptp_minus_1 = n0 ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f334,f337,f340]) ).
fof(f590,plain,
leq(tptp_minus_1,n0),
inference(resolution,[status(thm)],[f105,f253]) ).
fof(f604,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f590,f339]) ).
fof(f605,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f621,plain,
( ~ sQ1_spl
| gt(tptp_minus_1,tptp_minus_1) ),
inference(backward_demodulation,[status(thm)],[f341,f253]) ).
fof(f628,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f621,f91]) ).
fof(f629,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f630,plain,
$false,
inference(sat_refutation,[status(thm)],[f343,f605,f629]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV165+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 08:33:27 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.39 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.45 % Elapsed time: 0.062864 seconds
% 0.15/0.45 % CPU time: 0.177814 seconds
% 0.15/0.45 % Total memory used: 108.892 MB
% 0.15/0.45 % Net memory used: 108.639 MB
%------------------------------------------------------------------------------