%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 0.27s 0.59s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 8 unt; 0 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f636,axiom,
! [V_c,V_s,V_n,V_s_H] :
( ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
| c_Natural_Oevaln(V_c,V_s,c_Suc(V_n),V_s_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f671,negated_conjecture,
v_fun1(v_x,v_xa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f672,negated_conjecture,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f673,negated_conjecture,
~ v_fun2(v_x,v_xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f674,negated_conjecture,
! [V_Z,V_s_H,V_s] :
( ~ v_fun1(V_Z,V_s)
| ~ c_Natural_Oevaln(v_com,V_s,c_Suc(v_n),V_s_H)
| v_fun2(V_Z,V_s_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1740,plain,
! [X0,X1,X2,X3] :
( ~ c_Natural_Oevaln(X0,X1,X2,X3)
| c_Natural_Oevaln(X0,X1,c_Suc(X2),X3) ),
inference(cnf_transformation,[status(thm)],[f636]) ).
fof(f1781,plain,
v_fun1(v_x,v_xa),
inference(cnf_transformation,[status(thm)],[f671]) ).
fof(f1782,plain,
c_Natural_Oevaln(v_com,v_xa,v_n,v_xb),
inference(cnf_transformation,[status(thm)],[f672]) ).
fof(f1783,plain,
~ v_fun2(v_x,v_xb),
inference(cnf_transformation,[status(thm)],[f673]) ).
fof(f1784,plain,
! [V_Z,V_s] :
( ~ v_fun1(V_Z,V_s)
| ! [V_s_H] :
( ~ c_Natural_Oevaln(v_com,V_s,c_Suc(v_n),V_s_H)
| v_fun2(V_Z,V_s_H) ) ),
inference(miniscoping,[status(thm)],[f674]) ).
fof(f1785,plain,
! [X0,X1,X2] :
( ~ v_fun1(X0,X2)
| ~ c_Natural_Oevaln(v_com,X2,c_Suc(v_n),X1)
| v_fun2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1784]) ).
fof(f1918,plain,
! [X0,X1,X2] :
( ~ v_fun1(X2,X0)
| v_fun2(X2,X1)
| ~ c_Natural_Oevaln(v_com,X0,v_n,X1) ),
inference(resolution,[status(thm)],[f1740,f1785]) ).
fof(f1974,plain,
! [X0] :
( ~ v_fun1(X0,v_xa)
| v_fun2(X0,v_xb) ),
inference(resolution,[status(thm)],[f1918,f1782]) ).
fof(f1975,plain,
v_fun2(v_x,v_xb),
inference(resolution,[status(thm)],[f1974,f1781]) ).
fof(f1976,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1975,f1783]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV824-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n014.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 09:27:34 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.50 % Drodi V4.1.1
% 0.27/0.59 % Refutation found
% 0.27/0.59 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.27/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.60 % Elapsed time: 0.155089 seconds
% 0.27/0.60 % CPU time: 0.528634 seconds
% 0.27/0.60 % Total memory used: 122.337 MB
% 0.27/0.60 % Net memory used: 121.969 MB
%------------------------------------------------------------------------------