%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV860-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 02:49:41 PM UTC 2026
% Result : Unsatisfiable 0.27s 0.56s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 12 ( 9 unt; 0 def)
% Number of atoms : 15 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f484,axiom,
! [V_t,V_s,V_n] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
| V_t = V_s ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f485,negated_conjecture,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f486,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f487,negated_conjecture,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1261,plain,
! [V_t,V_s] :
( ! [V_n] : ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
| V_t = V_s ),
inference(miniscoping,[status(thm)],[f484]) ).
fof(f1262,plain,
! [X0,X1,X2] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X1,X2,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f1261]) ).
fof(f1263,plain,
hBOOL(hAPP(hAPP(v_P,v_x),v_xa)),
inference(cnf_transformation,[status(thm)],[f485]) ).
fof(f1264,plain,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,v_xa,v_n,v_xb),
inference(cnf_transformation,[status(thm)],[f486]) ).
fof(f1265,plain,
~ hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
inference(cnf_transformation,[status(thm)],[f487]) ).
fof(f1315,plain,
v_xb = v_xa,
inference(resolution,[status(thm)],[f1262,f1264]) ).
fof(f1317,plain,
hBOOL(hAPP(hAPP(v_P,v_x),v_xb)),
inference(backward_demodulation,[status(thm)],[f1315,f1263]) ).
fof(f1319,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1317,f1265]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV860-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n009.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 09:28:57 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.50 % Drodi V4.1.1
% 0.27/0.56 % Refutation found
% 0.27/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.56 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.58 % Elapsed time: 0.141185 seconds
% 0.27/0.58 % CPU time: 0.184356 seconds
% 0.27/0.58 % Total memory used: 23.669 MB
% 0.27/0.58 % Net memory used: 23.627 MB
%------------------------------------------------------------------------------