%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW342+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 03:07:40 PM UTC 2026
% Result : Theorem 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 6 unt; 0 def)
% Number of atoms : 26 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 7 ~; 3 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 21 ( 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [V_t,V_n,V_s] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t)
=> V_t = V_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5206,conjecture,
! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,B_s,v_n,B_s_H)
=> v_P(B_Z,B_s_H) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5207,negated_conjecture,
~ ! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(c_Com_Ocom_OSKIP,B_s,v_n,B_s_H)
=> v_P(B_Z,B_s_H) ) ),
inference(negated_conjecture,[status(cth)],[f5206]) ).
fof(f5212,plain,
! [V_t,V_n,V_s] :
( V_t = V_s
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f5213,plain,
! [V_t,V_s] :
( V_t = V_s
| ! [V_n] : ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,V_s,V_n,V_t) ),
inference(miniscoping,[status(thm)],[f5212]) ).
fof(f5214,plain,
! [X0,X1,X2] :
( X2 = X0
| ~ c_Natural_Oevaln(c_Com_Ocom_OSKIP,X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5213]) ).
fof(f19805,plain,
? [B_Z,B_s] :
( ? [B_s_H] :
( ~ v_P(B_Z,B_s_H)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,B_s,v_n,B_s_H) )
& v_P(B_Z,B_s) ),
inference(pre_NNF_transformation,[status(thm)],[f5207]) ).
fof(f19806,plain,
( ~ v_P(sK502_skl,sK504_skl)
& c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK503_skl,v_n,sK504_skl)
& v_P(sK502_skl,sK503_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK502_skl,sK503_skl,sK504_skl]),skolemize(B_Z,sK502_skl),skolemize(B_s,sK503_skl),skolemize(B_s_H,sK504_skl)],[f19805]) ).
fof(f19807,plain,
v_P(sK502_skl,sK503_skl),
inference(cnf_transformation,[status(thm)],[f19806]) ).
fof(f19808,plain,
c_Natural_Oevaln(c_Com_Ocom_OSKIP,sK503_skl,v_n,sK504_skl),
inference(cnf_transformation,[status(thm)],[f19806]) ).
fof(f19809,plain,
~ v_P(sK502_skl,sK504_skl),
inference(cnf_transformation,[status(thm)],[f19806]) ).
fof(f20636,plain,
sK504_skl = sK503_skl,
inference(resolution,[status(thm)],[f5214,f19808]) ).
fof(f20641,plain,
v_P(sK502_skl,sK504_skl),
inference(backward_demodulation,[status(thm)],[f20636,f19807]) ).
fof(f20642,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20641,f19809]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW342+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n019.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 09:48:35 UTC 2026
% 0.17/0.46 % CPUTime :
% 1.16/1.46 % Drodi V4.1.1
% 1.27/1.72 % Refutation found
% 1.27/1.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.27/1.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.27/1.86 % Elapsed time: 1.374258 seconds
% 1.27/1.86 % CPU time: 2.386591 seconds
% 1.27/1.86 % Total memory used: 556.680 MB
% 1.27/1.86 % Net memory used: 551.458 MB
%------------------------------------------------------------------------------