%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV821-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 02:49:37 PM UTC 2026
% Result : Unsatisfiable 53.78s 7.41s
% Output : CNFRefutation 53.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 6 unt; 0 def)
% Number of atoms : 10 ( 4 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-4 aty)
% Number of variables : 13 ( 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1220,axiom,
! [V_nat_H] : c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(V_nat_H),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1251,axiom,
! [V_n,V_P,V_s,V_s1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(V_P),V_s,V_n,V_s1)
| V_n = c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(V_P,V_n,V_s,V_s1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f1266,negated_conjecture,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3288,plain,
! [X0] : c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat),
inference(cnf_transformation,[status(thm)],[f1220]) ).
fof(f3327,plain,
! [X0,X1,X2,X3] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X0),X2,X1,X3)
| c_Suc(c_Natural_Osko__Natural__Xevaln__elim__cases__6__1(X0,X1,X2,X3)) = X1 ),
inference(cnf_transformation,[status(thm)],[f1251]) ).
fof(f3345,plain,
c_Natural_Oevaln(c_Com_Ocom_OBODY(v_pn),v_xa,c_HOL_Ozero__class_Ozero(tc_nat),v_xb),
inference(cnf_transformation,[status(thm)],[f1266]) ).
fof(f3393,plain,
! [X0,X1,X2] : ~ c_Natural_Oevaln(c_Com_Ocom_OBODY(X0),X1,c_HOL_Ozero__class_Ozero(tc_nat),X2),
inference(resolution,[status(thm)],[f3327,f3288]) ).
fof(f3543,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f3345,f3393]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV821-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % 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 09:26:49 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.28/0.51 % Drodi V4.1.1
% 53.78/7.41 % Refutation found
% 53.78/7.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 53.78/7.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.88/7.83 % Elapsed time: 7.440123 seconds
% 4.88/7.83 % CPU time: 55.287240 seconds
% 4.88/7.83 % Total memory used: 387.183 MB
% 4.88/7.83 % Net memory used: 353.391 MB
%------------------------------------------------------------------------------