%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV137+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:46:43 PM UTC 2026
% Result : Theorem 0.26s 0.54s
% Output : CNFRefutation 0.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 57 ( 15 ~; 9 |; 29 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X,Y,Z] :
( ( leq(Y,Z)
& leq(X,Y) )
=> leq(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(pv1325,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n2,pv1325)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7) )
=> leq(n0,pv1325) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(pv1325,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n2,pv1325)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7) )
=> leq(n0,pv1325) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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,
( ~ leq(n0,pv1325)
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_worst7))
& leq(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7))
& leq(pv1325,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n2,pv1325)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f248,plain,
leq(n2,pv1325),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f255,plain,
~ leq(n0,pv1325),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f266,plain,
gt(n2,n0),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f336,plain,
! [X0] :
( ~ leq(X0,pv1325)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f255,f95]) ).
fof(f344,plain,
~ leq(n0,n2),
inference(resolution,[status(thm)],[f336,f248]) ).
fof(f368,plain,
~ gt(n2,n0),
inference(resolution,[status(thm)],[f105,f344]) ).
fof(f375,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f368,f266]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV137+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n009.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 08:32:42 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.26/0.54 % Refutation found
% 0.26/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.26/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.26/0.58 % Elapsed time: 0.129222 seconds
% 0.26/0.58 % CPU time: 0.153766 seconds
% 0.26/0.58 % Total memory used: 27.536 MB
% 0.26/0.58 % Net memory used: 27.466 MB
%------------------------------------------------------------------------------