%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW375+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 : n002.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 03:07:44 PM UTC 2026
% Result : Theorem 9.99s 2.79s
% Output : CNFRefutation 9.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 23 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [V_b,V_pn] :
( c_Com_OWT__bodies
=> ( hAPP(c_Com_Obody,V_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
=> hBOOL(hAPP(c_Com_OWT,V_b)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5227,hypothesis,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5229,hypothesis,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5230,conjecture,
hBOOL(hAPP(c_Com_OWT,v_y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5231,negated_conjecture,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(negated_conjecture,[status(cth)],[f5230]) ).
fof(f5235,plain,
! [V_b,V_pn] :
( hBOOL(hAPP(c_Com_OWT,V_b))
| hAPP(c_Com_Obody,V_pn) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b)
| ~ c_Com_OWT__bodies ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f5236,plain,
( ! [V_b] :
( hBOOL(hAPP(c_Com_OWT,V_b))
| ! [V_pn] : hAPP(c_Com_Obody,V_pn) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),V_b) )
| ~ c_Com_OWT__bodies ),
inference(miniscoping,[status(thm)],[f5235]) ).
fof(f5237,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Com_OWT,X1))
| hAPP(c_Com_Obody,X0) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1)
| ~ c_Com_OWT__bodies ),
inference(cnf_transformation,[status(thm)],[f5236]) ).
fof(f19820,plain,
c_Com_OWT__bodies,
inference(cnf_transformation,[status(thm)],[f5227]) ).
fof(f19822,plain,
hAPP(c_Com_Obody,v_pn) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(cnf_transformation,[status(thm)],[f5229]) ).
fof(f19823,plain,
~ hBOOL(hAPP(c_Com_OWT,v_y)),
inference(cnf_transformation,[status(thm)],[f5231]) ).
fof(f20616,plain,
! [X0,X1] :
( hBOOL(hAPP(c_Com_OWT,X1))
| hAPP(c_Com_Obody,X0) != hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f5237,f19820]) ).
fof(f24972,plain,
hBOOL(hAPP(c_Com_OWT,v_y)),
inference(resolution,[status(thm)],[f19822,f20616]) ).
fof(f25009,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f24972,f19823]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW375+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 % Computer : n002.cluster.edu
% 0.20/0.47 % Model : x86_64 x86_64
% 0.20/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.47 % Memory : 8046.5625MB
% 0.20/0.47 % OS : Linux 6.8.0-71-generic
% 0.20/0.47 % CPULimit : 300
% 0.20/0.47 % WCLimit : 300
% 0.20/0.47 % DateTime : Mon Sep 21 09:52:47 UTC 2026
% 0.20/0.48 % CPUTime :
% 1.25/1.56 % Drodi V4.1.1
% 9.99/2.79 % Refutation found
% 9.99/2.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.99/2.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.39/2.94 % Elapsed time: 2.440593 seconds
% 2.39/2.94 % CPU time: 10.524928 seconds
% 2.39/2.94 % Total memory used: 730.590 MB
% 2.39/2.94 % Net memory used: 725.410 MB
%------------------------------------------------------------------------------