%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW297+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:07:35 PM UTC 2026
% Result : Theorem 0.84s 1.26s
% Output : CNFRefutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 15 ( 5 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 43 ( 15 ~; 11 |; 6 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 37 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [V_s_H,V_n,V_s,V_c] :
( c_Natural_Oevaln(V_c,V_s,V_n,V_s_H)
=> c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5225,conjecture,
( ! [B_Z,B_s] :
( v_fun1(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)
=> v_fun2(B_Z,B_s_H) ) )
=> ! [B_Z,B_s] :
( v_fun1(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(v_com,B_s,v_n,B_s_H)
=> v_fun2(B_Z,B_s_H) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5226,negated_conjecture,
~ ( ! [B_Z,B_s] :
( v_fun1(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H)
=> v_fun2(B_Z,B_s_H) ) )
=> ! [B_Z,B_s] :
( v_fun1(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(v_com,B_s,v_n,B_s_H)
=> v_fun2(B_Z,B_s_H) ) ) ),
inference(negated_conjecture,[status(cth)],[f5225]) ).
fof(f5230,plain,
! [V_s_H,V_n,V_s,V_c] :
( c_Natural_Oevaln(V_c,V_s,hAPP(c_Nat_OSuc,V_n),V_s_H)
| ~ c_Natural_Oevaln(V_c,V_s,V_n,V_s_H) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f5231,plain,
! [X0,X1,X2,X3] :
( c_Natural_Oevaln(X0,X1,hAPP(c_Nat_OSuc,X2),X3)
| ~ c_Natural_Oevaln(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f5230]) ).
fof(f20138,plain,
( ? [B_Z,B_s] :
( ? [B_s_H] :
( ~ v_fun2(B_Z,B_s_H)
& c_Natural_Oevaln(v_com,B_s,v_n,B_s_H) )
& v_fun1(B_Z,B_s) )
& ! [B_Z,B_s] :
( ! [B_s_H] :
( v_fun2(B_Z,B_s_H)
| ~ c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H) )
| ~ v_fun1(B_Z,B_s) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5226]) ).
fof(f20139,plain,
( ~ v_fun2(sK554_skl,sK556_skl)
& c_Natural_Oevaln(v_com,sK555_skl,v_n,sK556_skl)
& v_fun1(sK554_skl,sK555_skl)
& ! [B_Z,B_s] :
( ! [B_s_H] :
( v_fun2(B_Z,B_s_H)
| ~ c_Natural_Oevaln(v_com,B_s,hAPP(c_Nat_OSuc,v_n),B_s_H) )
| ~ v_fun1(B_Z,B_s) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK554_skl,sK555_skl,sK556_skl]),skolemize(B_Z,sK554_skl),skolemize(B_s,sK555_skl),skolemize(B_s_H,sK556_skl)],[f20138]) ).
fof(f20140,plain,
! [X0,X1,X2] :
( v_fun2(X0,X2)
| ~ c_Natural_Oevaln(v_com,X1,hAPP(c_Nat_OSuc,v_n),X2)
| ~ v_fun1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20139]) ).
fof(f20141,plain,
v_fun1(sK554_skl,sK555_skl),
inference(cnf_transformation,[status(thm)],[f20139]) ).
fof(f20142,plain,
c_Natural_Oevaln(v_com,sK555_skl,v_n,sK556_skl),
inference(cnf_transformation,[status(thm)],[f20139]) ).
fof(f20143,plain,
~ v_fun2(sK554_skl,sK556_skl),
inference(cnf_transformation,[status(thm)],[f20139]) ).
fof(f20979,plain,
! [X0,X1,X2] :
( v_fun2(X2,X1)
| ~ v_fun1(X2,X0)
| ~ c_Natural_Oevaln(v_com,X0,v_n,X1) ),
inference(resolution,[status(thm)],[f5231,f20140]) ).
fof(f20984,plain,
! [X0] :
( v_fun2(X0,sK556_skl)
| ~ v_fun1(X0,sK555_skl) ),
inference(resolution,[status(thm)],[f20979,f20142]) ).
fof(f20985,plain,
v_fun2(sK554_skl,sK556_skl),
inference(resolution,[status(thm)],[f20984,f20141]) ).
fof(f20986,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20985,f20143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW297+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 21 09:46:20 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.79/1.05 % Drodi V4.1.1
% 0.84/1.26 % Refutation found
% 0.84/1.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.84/1.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.84/1.31 % Elapsed time: 0.909045 seconds
% 0.84/1.31 % CPU time: 1.625365 seconds
% 0.84/1.31 % Total memory used: 499.051 MB
% 0.84/1.31 % Net memory used: 494.414 MB
%------------------------------------------------------------------------------