%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW343+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 : n020.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 03:07:41 PM UTC 2026
% Result : Theorem 82.89s 11.76s
% Output : CNFRefutation 82.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 28 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 8 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 16 con; 0-2 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [V_s1,V_n,V_s0,V_pn] :
( c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1)
=> c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5206,hypothesis,
! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,hAPP(c_Nat_OSuc,v_na),B_s_H)
=> v_Q(B_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,B_s_H),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,B_s_H),c_Com_ORes))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5207,hypothesis,
v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5208,hypothesis,
c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),v_na,v_s1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5209,conjecture,
v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5210,negated_conjecture,
~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
inference(negated_conjecture,[status(cth)],[f5209]) ).
fof(f5216,plain,
! [V_s1,V_n,V_s0,V_pn] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,V_pn),V_s0,hAPP(c_Nat_OSuc,V_n),V_s1)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,V_pn)),V_s0,V_n,V_s1) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f5217,plain,
! [X0,X1,X2,X3] :
( c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,X0),X1,hAPP(c_Nat_OSuc,X2),X3)
| ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X0)),X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f5216]) ).
fof(f19826,plain,
! [B_Z,B_s] :
( ! [B_s_H] :
( v_Q(B_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,B_s_H),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,B_s_H),c_Com_ORes)))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),B_s,hAPP(c_Nat_OSuc,v_na),B_s_H) )
| ~ v_P(B_Z,B_s) ),
inference(pre_NNF_transformation,[status(thm)],[f5206]) ).
fof(f19827,plain,
! [X0,X1,X2] :
( v_Q(X0,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,X2),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,X2),c_Com_ORes)))
| ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X1,hAPP(c_Nat_OSuc,v_na),X2)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19826]) ).
fof(f19828,plain,
v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
inference(cnf_transformation,[status(thm)],[f5207]) ).
fof(f19829,plain,
c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H)),v_na,v_s1),
inference(cnf_transformation,[status(thm)],[f5208]) ).
fof(f19830,plain,
~ v_Q(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s1),hAPP(c_Natural_Ogetlocs,v_s_H))),v_X),hAPP(hAPP(c_Natural_Ogetlocs,v_s1),c_Com_ORes))),
inference(cnf_transformation,[status(thm)],[f5210]) ).
fof(f20647,plain,
! [X0] :
( ~ c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY,v_pn),X0,hAPP(c_Nat_OSuc,v_na),v_s1)
| ~ v_P(v_Z,X0) ),
inference(resolution,[status(thm)],[f19827,f19830]) ).
fof(f20690,plain,
! [X0] :
( ~ c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn)),X0,v_na,v_s1)
| ~ v_P(v_Z,X0) ),
inference(resolution,[status(thm)],[f5217,f20647]) ).
fof(f23542,plain,
~ v_P(v_Z,hAPP(hAPP(hAPP(c_Natural_Oupdate,hAPP(hAPP(c_Natural_Osetlocs,v_s_H),c_Natural_Onewlocs)),c_Com_Ovname_OLoc(c_Com_OArg)),v_a(v_s_H))),
inference(resolution,[status(thm)],[f19829,f20690]) ).
fof(f23543,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f23542,f19828]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW343+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40 % Computer : n020.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 21 09:49:18 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.76/1.09 % Drodi V4.1.1
% 82.89/11.76 % Refutation found
% 82.89/11.76 % SZS status Theorem for theBenchmark: Theorem is valid
% 82.89/11.76 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 81.27/12.10 % Elapsed time: 11.670874 seconds
% 81.27/12.10 % CPU time: 86.130822 seconds
% 81.27/12.10 % Total memory used: 1.167 GB
% 81.27/12.10 % Net memory used: 1.143 GB
%------------------------------------------------------------------------------