%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 02:47:04 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.35s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 36 ( 36 unt; 10 def)
% Number of atoms : 36 ( 35 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 23 ( 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_G,V_H] : c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg)) = c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_y,T_a] : c_union(c_emptyset,V_y,T_a) = V_y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_a,V_B,T_a,V_C] : c_union(c_insert(V_a,V_B,T_a),V_C,T_a) = c_insert(V_a,c_union(V_B,V_C,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [X0,X1] : c_union(c_emptyset,X0,X1) = X0,
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3] : c_union(c_insert(X0,X1,X2),X3,X2) = c_insert(X0,c_union(X1,X3,X2),X2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f9,definition,
sF2_fnc = c_insert(v_Y,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition]) ).
fof(f10,definition,
sF1_fnc = c_insert(v_X,sF2_fnc,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f11,definition,
sF0_fnc = c_Message_Oparts(sF1_fnc),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f12,definition,
sF6_fnc = c_insert(v_X,c_emptyset,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition]) ).
fof(f13,definition,
sF5_fnc = c_Message_Oparts(sF6_fnc),
introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition]) ).
fof(f14,definition,
sF8_fnc = c_insert(v_Y,c_emptyset,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF8_fnc])],[function_definition]) ).
fof(f15,definition,
sF7_fnc = c_Message_Oparts(sF8_fnc),
introduced(definition,[new_symbols(definition,[sF7_fnc])],[function_definition]) ).
fof(f16,definition,
sF4_fnc = c_union(sF5_fnc,sF7_fnc,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition]) ).
fof(f17,definition,
sF9_fnc = c_Message_Oparts(v_H),
introduced(definition,[new_symbols(definition,[sF9_fnc])],[function_definition]) ).
fof(f18,definition,
sF3_fnc = c_union(sF4_fnc,sF9_fnc,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition]) ).
fof(f19,plain,
sF0_fnc != sF3_fnc,
inference(definition_folding,[],[f5,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f22,plain,
! [X0] : c_Message_Oparts(c_union(sF6_fnc,X0,tc_Message_Omsg)) = c_union(sF5_fnc,c_Message_Oparts(X0),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f13,f6]) ).
fof(f24,plain,
! [X0] : c_Message_Oparts(c_union(X0,v_H,tc_Message_Omsg)) = c_union(c_Message_Oparts(X0),sF9_fnc,tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f17,f6]) ).
fof(f28,plain,
! [X0] : c_union(sF6_fnc,X0,tc_Message_Omsg) = c_insert(v_X,c_union(c_emptyset,X0,tc_Message_Omsg),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f12,f8]) ).
fof(f30,plain,
! [X0] : c_union(sF8_fnc,X0,tc_Message_Omsg) = c_insert(v_Y,c_union(c_emptyset,X0,tc_Message_Omsg),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f14,f8]) ).
fof(f32,plain,
! [X0] : c_union(sF6_fnc,X0,tc_Message_Omsg) = c_insert(v_X,X0,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f7,f28]) ).
fof(f33,plain,
! [X0] : c_union(sF8_fnc,X0,tc_Message_Omsg) = c_insert(v_Y,X0,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f7,f30]) ).
fof(f44,plain,
! [X0] : c_Message_Oparts(c_insert(v_X,X0,tc_Message_Omsg)) = c_union(sF5_fnc,c_Message_Oparts(X0),tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f32,f22]) ).
fof(f46,plain,
c_Message_Oparts(c_insert(v_X,sF8_fnc,tc_Message_Omsg)) = c_union(sF5_fnc,sF7_fnc,tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f15,f44]) ).
fof(f49,plain,
c_Message_Oparts(c_insert(v_X,sF8_fnc,tc_Message_Omsg)) = sF4_fnc,
inference(forward_demodulation,[status(thm)],[f16,f46]) ).
fof(f62,plain,
c_Message_Oparts(c_union(c_insert(v_X,sF8_fnc,tc_Message_Omsg),v_H,tc_Message_Omsg)) = c_union(sF4_fnc,sF9_fnc,tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f49,f24]) ).
fof(f67,plain,
c_Message_Oparts(c_insert(v_X,c_union(sF8_fnc,v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_union(sF4_fnc,sF9_fnc,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f8,f62]) ).
fof(f68,plain,
c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) = c_union(sF4_fnc,sF9_fnc,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f33,f67]) ).
fof(f69,plain,
c_Message_Oparts(c_insert(v_X,sF2_fnc,tc_Message_Omsg)) = c_union(sF4_fnc,sF9_fnc,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f9,f68]) ).
fof(f70,plain,
c_Message_Oparts(sF1_fnc) = c_union(sF4_fnc,sF9_fnc,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f10,f69]) ).
fof(f71,plain,
sF0_fnc = c_union(sF4_fnc,sF9_fnc,tc_Message_Omsg),
inference(forward_demodulation,[status(thm)],[f11,f70]) ).
fof(f72,plain,
sF0_fnc = sF3_fnc,
inference(forward_demodulation,[status(thm)],[f18,f71]) ).
fof(f73,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f72,f19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV262-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n019.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 08:37:04 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.35 % Drodi V4.1.1
% 0.09/0.35 % Refutation found
% 0.09/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.38 % Elapsed time: 0.030394 seconds
% 0.09/0.38 % CPU time: 0.022861 seconds
% 0.09/0.38 % Total memory used: 270.560 KB
% 0.09/0.38 % Net memory used: 270.432 KB
%------------------------------------------------------------------------------