%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV243-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 02:46:59 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.38s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 19 unt; 4 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-3 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_G,V_H] : c_Message_Oanalz(c_union(c_Message_Osynth(V_G),V_H,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(V_G,V_H,tc_Message_Omsg)),c_Message_Osynth(V_G),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_y,T_a] : c_union(V_y,c_emptyset,T_a) = V_y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
c_Message_Oanalz(c_Message_Osynth(v_H)) != c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),c_Message_Osynth(X0),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
! [X0,X1] : c_union(X0,c_emptyset,X1) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,definition,
sF1_fnc = c_Message_Osynth(v_H),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f8,definition,
sF0_fnc = c_Message_Oanalz(sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f9,definition,
sF3_fnc = c_Message_Oanalz(v_H),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f10,definition,
sF2_fnc = c_union(sF3_fnc,sF1_fnc,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f11,plain,
sF0_fnc != sF2_fnc,
inference(definition_folding,[],[f4,f10,f9,f8,f7]) ).
fof(f14,plain,
! [X0] : c_Message_Oanalz(c_union(c_Message_Osynth(v_H),X0,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(v_H,X0,tc_Message_Omsg)),sF1_fnc,tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f15,plain,
! [X0] : c_Message_Oanalz(c_union(sF1_fnc,X0,tc_Message_Omsg)) = c_union(c_Message_Oanalz(c_union(v_H,X0,tc_Message_Omsg)),sF1_fnc,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f7,f14]) ).
fof(f120,plain,
c_Message_Oanalz(c_union(sF1_fnc,c_emptyset,tc_Message_Omsg)) = c_union(c_Message_Oanalz(v_H),sF1_fnc,tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f6,f15]) ).
fof(f139,plain,
c_Message_Oanalz(sF1_fnc) = c_union(c_Message_Oanalz(v_H),sF1_fnc,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f6,f120]) ).
fof(f140,plain,
sF0_fnc = c_union(c_Message_Oanalz(v_H),sF1_fnc,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f8,f139]) ).
fof(f141,plain,
sF0_fnc = c_union(sF3_fnc,sF1_fnc,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f9,f140]) ).
fof(f142,plain,
sF0_fnc = sF2_fnc,
inference(forward_demodulation,[status(thm)],[f10,f141]) ).
fof(f143,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f142,f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV243-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:41:31 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.40 % Elapsed time: 0.025961 seconds
% 0.09/0.40 % CPU time: 0.064813 seconds
% 0.09/0.40 % Total memory used: 4.195 MB
% 0.09/0.40 % Net memory used: 4.127 MB
%------------------------------------------------------------------------------