%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV260-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 02:47:03 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of formulae : 60 ( 11 unt; 4 def)
% Number of atoms : 124 ( 7 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 129 ( 65 ~; 60 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_c,V_B,T_a,V_A] :
( c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_a,V_b,V_A,T_a] :
( V_a = V_b
| c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [V_X,V_G,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f12,plain,
c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f13,plain,
~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f14,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f15,plain,
! [V_c,V_B,T_a] :
( ! [V_A] : c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_B,T_a) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [V_c,V_A,T_a] :
( ! [V_B] : c_in(V_c,c_union(V_A,V_B,T_a),T_a)
| ~ c_in(V_c,V_A,T_a) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
! [V_a,V_b] :
( V_a = V_b
| ! [V_A,T_a] :
( c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| c_in(X0,X2,X3)
| ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f22,plain,
! [X0,X1,X2] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f23,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ! [V_G] :
( ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg) ) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f24,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f28,plain,
! [X0] :
( ~ c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f24,f13]) ).
fof(f29,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f28,f22]) ).
fof(f30,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X0,tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f28,f21]) ).
fof(f31,plain,
! [X0,X1] :
( ~ c_lessequals(X1,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f29,f24]) ).
fof(f32,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f29,f14]) ).
fof(f34,plain,
! [X0,X1] :
( c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = X0
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X1,tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f30,f20]) ).
fof(f44,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
inference(resolution,[status(thm)],[f32,f11]) ).
fof(f47,plain,
~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg),
inference(resolution,[status(thm)],[f44,f18]) ).
fof(f78,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f31,f22]) ).
fof(f80,plain,
( c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X
| c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f34,f11]) ).
fof(f83,definition,
( sQ7_spl
<=> c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f84,plain,
( ~ sQ7_spl
| c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_G,tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,definition,
( sQ8_spl
<=> c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f87,plain,
( ~ sQ8_spl
| c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) = v_X ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( sQ8_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f80,f83,f86]) ).
fof(f90,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f47]) ).
fof(f91,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f90]) ).
fof(f101,plain,
( ~ sQ8_spl
| ~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(paramodulation,[status(thm)],[f87,f29]) ).
fof(f117,definition,
( sQ13_spl
<=> c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( sQ13_spl
| ~ c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f124,definition,
( sQ15_spl
<=> c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( sQ15_spl
| ~ c_in(v_X,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( ~ sQ8_spl
| ~ sQ15_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f101,f117,f124,f86]) ).
fof(f128,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f11]) ).
fof(f129,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f128]) ).
fof(f132,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_G,tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f78,f11]) ).
fof(f135,plain,
! [X0] :
( ~ sQ8_spl
| ~ c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f87,f132]) ).
fof(f141,plain,
! [X0] :
( sQ15_spl
| ~ c_lessequals(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f126,f24]) ).
fof(f144,plain,
! [X0] :
( sQ15_spl
| c_in(c_Main_OsubsetI__1(X0,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),X0,tc_Message_Omsg)
| ~ c_in(v_X,c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f141,f21]) ).
fof(f145,plain,
( sQ15_spl
| c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f144,f12]) ).
fof(f170,plain,
( ~ sQ8_spl
| ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f135,f12]) ).
fof(f174,plain,
( ~ sQ8_spl
| ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f170,f14]) ).
fof(f176,plain,
( ~ sQ8_spl
| ~ c_in(c_Main_OsubsetI__1(v_H,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),v_H,tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f174,f16]) ).
fof(f177,plain,
( ~ sQ8_spl
| sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f176,f145]) ).
fof(f178,plain,
( ~ sQ8_spl
| sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f177]) ).
fof(f179,plain,
$false,
inference(sat_refutation,[status(thm)],[f89,f91,f127,f129,f178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV260-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:34:50 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.064731 seconds
% 0.14/0.43 % CPU time: 0.168267 seconds
% 0.14/0.43 % Total memory used: 81.917 MB
% 0.14/0.43 % Net memory used: 81.313 MB
%------------------------------------------------------------------------------