%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG350-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 11:49:15 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.41s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f325,axiom,
! [V_x,V_y] :
( ~ c_HOL_Oord__class_Oless(V_x,V_y,tc_RealDef_Oreal)
| c_lessequals(V_x,V_y,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f338,axiom,
! [V_x] :
( ~ hBOOL(hAPP(v_P,V_x))
| c_HOL_Oord__class_Oless(V_x,v_Y____,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f352,negated_conjecture,
hBOOL(hAPP(v_P,v_xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f353,negated_conjecture,
~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f953,plain,
! [X0,X1] :
( ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal)
| c_lessequals(X0,X1,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f967,plain,
! [X0] :
( ~ hBOOL(hAPP(v_P,X0))
| c_HOL_Oord__class_Oless(X0,v_Y____,tc_RealDef_Oreal) ),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f986,plain,
hBOOL(hAPP(v_P,v_xa)),
inference(cnf_transformation,[status(thm)],[f352]) ).
fof(f987,plain,
~ c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f1018,plain,
c_HOL_Oord__class_Oless(v_xa,v_Y____,tc_RealDef_Oreal),
inference(resolution,[status(thm)],[f967,f986]) ).
fof(f1019,plain,
c_lessequals(v_xa,v_Y____,tc_RealDef_Oreal),
inference(resolution,[status(thm)],[f1018,f953]) ).
fof(f1020,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1019,f987]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG350-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n016.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 13:21:37 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.39 % Drodi V4.1.1
% 0.08/0.41 % Refutation found
% 0.08/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.44 % Elapsed time: 0.071631 seconds
% 0.08/0.44 % CPU time: 0.159858 seconds
% 0.08/0.44 % Total memory used: 104.751 MB
% 0.08/0.44 % Net memory used: 104.556 MB
%------------------------------------------------------------------------------