%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV276-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:47:08 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.68s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 26
% Syntax : Number of formulae : 94 ( 29 unt; 7 def)
% Number of atoms : 182 ( 17 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 158 ( 70 ~; 81 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 110 ( 110 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_K,V_H] :
( c_in(c_Message_Omsg_OKey(v_sko__uhi(V_H,V_K)),V_H,tc_Message_Omsg)
| c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)
| ~ c_in(V_K,c_Message_OkeysFor(c_Message_Osynth(V_H)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_K,V_H] :
( V_K = c_Message_OinvKey(v_sko__uhi(V_H,V_K))
| c_in(V_K,c_Message_OkeysFor(V_H),tc_nat)
| ~ c_in(V_K,c_Message_OkeysFor(c_Message_Osynth(V_H)),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_H] : c_lessequals(c_Message_Oanalz(V_H),c_Message_Oparts(V_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_y] : c_Message_OinvKey(c_Message_OinvKey(V_y)) = V_y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_G,V_H] :
( c_lessequals(c_Message_OkeysFor(V_G),c_Message_OkeysFor(V_H),tc_set(tc_nat))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_H,V_H_H] : c_Message_OkeysFor(c_union(V_H,V_H_H,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(V_H),c_Message_OkeysFor(V_H_H),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [V_H] : c_Message_Oparts(c_Message_Oanalz(V_H)) = c_Message_Oparts(V_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [V_X,V_G,V_H] :
( c_lessequals(c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,V_G,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [V_H] : c_Message_Oparts(c_Message_Osynth(V_H)) = c_union(c_Message_Oparts(V_H),c_Message_Osynth(V_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,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(f12,axiom,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [V_c,V_A,V_B,T_a] :
( c_in(V_c,V_A,T_a)
| c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,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(f15,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(f16,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(v_sko__uhi(X1,X0)),X1,tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
! [X0,X1] :
( X0 = c_Message_OinvKey(v_sko__uhi(X1,X0))
| c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f23,plain,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f25,plain,
! [X0,X1] :
( c_lessequals(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_set(tc_nat))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f26,plain,
! [X0,X1] : c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_nat),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f27,plain,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f28,plain,
! [V_X,V_G] :
( ! [V_H] : c_lessequals(c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),c_union(c_Message_Oparts(V_G),c_Message_Oparts(V_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,V_G,tc_Message_Omsg) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f29,plain,
! [X0,X1,X2] :
( c_lessequals(c_Message_Oparts(c_insert(X0,X2,tc_Message_Omsg)),c_union(c_Message_Oparts(X1),c_Message_Oparts(X2),tc_Message_Omsg),tc_set(tc_Message_Omsg))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X0] : c_Message_Oparts(c_Message_Osynth(X0)) = c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,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)],[f11]) ).
fof(f32,plain,
! [V_c,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ! [V_A] :
( ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f34,plain,
! [V_c,V_A,T_a] :
( c_in(V_c,V_A,T_a)
| ! [V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( c_in(X0,X1,X3)
| c_in(X0,X2,X3)
| ~ c_in(X0,c_union(X1,X2,X3),X3) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,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)],[f14]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f38,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)],[f15]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),tc_nat),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f41,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f42,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg))),tc_nat),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f43,plain,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f50,plain,
! [X0] : c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(X0)),c_Message_OkeysFor(c_Message_Oparts(X0)),tc_set(tc_nat)),
inference(resolution,[status(thm)],[f25,f23]) ).
fof(f53,plain,
! [X0] : c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X0))) = c_union(c_Message_Oparts(X0),c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg),
inference(paramodulation,[status(thm)],[f27,f30]) ).
fof(f54,plain,
! [X0] : c_lessequals(c_Message_Oparts(c_insert(v_X,X0,tc_Message_Omsg)),c_union(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H))),c_Message_Oparts(X0),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(resolution,[status(thm)],[f29,f41]) ).
fof(f63,plain,
! [X0] :
( c_in(v_K,X0,tc_nat)
| ~ c_lessequals(c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg))),X0,tc_set(tc_nat)) ),
inference(resolution,[status(thm)],[f33,f40]) ).
fof(f67,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_union(X1,X2,tc_Message_Omsg)),tc_nat) ),
inference(paramodulation,[status(thm)],[f26,f35]) ).
fof(f131,plain,
! [X0] : c_lessequals(c_Message_Oparts(c_insert(v_X,X0,tc_Message_Omsg)),c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X0,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(forward_demodulation,[status(thm)],[f31,f54]) ).
fof(f132,plain,
! [X0] : c_lessequals(c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,X0,tc_Message_Omsg))),c_Message_OkeysFor(c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X0,tc_Message_Omsg))),tc_set(tc_nat)),
inference(resolution,[status(thm)],[f131,f25]) ).
fof(f179,plain,
! [X0,X1,X2] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X2)),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg))),tc_nat) ),
inference(paramodulation,[status(thm)],[f31,f67]) ).
fof(f180,plain,
! [X0,X1] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(X1))),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(X1)))),tc_nat) ),
inference(paramodulation,[status(thm)],[f53,f67]) ).
fof(f316,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),v_G,tc_Message_Omsg))),tc_nat),
inference(resolution,[status(thm)],[f132,f63]) ).
fof(f687,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat) ),
inference(resolution,[status(thm)],[f179,f316]) ).
fof(f707,definition,
( sQ11_spl
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f708,plain,
( ~ sQ11_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat) ),
inference(component_clause,[status(thm)],[f707]) ).
fof(f710,definition,
( sQ12_spl
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ12_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f713,plain,
( sQ12_spl
| sQ11_spl ),
inference(split_clause,[status(thm)],[f687,f707,f710]) ).
fof(f723,plain,
! [X0] :
( ~ sQ11_spl
| c_in(v_K,c_union(c_Message_OkeysFor(c_Message_Oparts(v_G)),X0,tc_nat),tc_nat) ),
inference(resolution,[status(thm)],[f708,f37]) ).
fof(f734,plain,
! [X0] :
( ~ sQ11_spl
| c_in(v_K,c_Message_OkeysFor(c_union(c_Message_Oparts(v_G),X0,tc_Message_Omsg)),tc_nat) ),
inference(paramodulation,[status(thm)],[f26,f723]) ).
fof(f761,plain,
! [X0] :
( ~ sQ11_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(v_G,X0,tc_Message_Omsg))),tc_nat) ),
inference(paramodulation,[status(thm)],[f31,f734]) ).
fof(f791,plain,
( ~ sQ12_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
inference(resolution,[status(thm)],[f711,f180]) ).
fof(f796,definition,
( sQ19_spl
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f797,plain,
( ~ sQ19_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat) ),
inference(component_clause,[status(thm)],[f796]) ).
fof(f799,definition,
( sQ20_spl
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f800,plain,
( ~ sQ20_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ),
inference(component_clause,[status(thm)],[f799]) ).
fof(f802,plain,
( ~ sQ12_spl
| sQ20_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f791,f796,f799,f710]) ).
fof(f840,plain,
( ~ sQ19_spl
| v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K))
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(resolution,[status(thm)],[f797,f21]) ).
fof(f841,plain,
( ~ sQ19_spl
| c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(resolution,[status(thm)],[f797,f20]) ).
fof(f845,definition,
( sQ22_spl
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( ~ sQ22_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
inference(component_clause,[status(thm)],[f845]) ).
fof(f848,definition,
( sQ23_spl
<=> v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( ~ sQ23_spl
| v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) ),
inference(component_clause,[status(thm)],[f848]) ).
fof(f851,plain,
( ~ sQ19_spl
| sQ23_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f840,f845,f848,f796]) ).
fof(f852,definition,
( sQ24_spl
<=> c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f853,plain,
( ~ sQ24_spl
| c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg) ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,plain,
( ~ sQ19_spl
| sQ24_spl
| sQ22_spl ),
inference(split_clause,[status(thm)],[f841,f845,f852,f796]) ).
fof(f889,plain,
! [X0] :
( ~ sQ22_spl
| c_in(v_K,X0,tc_nat)
| ~ c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),X0,tc_set(tc_nat)) ),
inference(resolution,[status(thm)],[f846,f33]) ).
fof(f893,plain,
( ~ sQ23_spl
| c_Message_OinvKey(v_K) = v_sko__uhi(c_Message_Oanalz(v_H),v_K) ),
inference(paramodulation,[status(thm)],[f849,f24]) ).
fof(f1034,plain,
! [X0] :
( ~ sQ20_spl
| c_in(v_K,c_union(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),tc_nat) ),
inference(resolution,[status(thm)],[f800,f39]) ).
fof(f1184,plain,
( ~ sQ11_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f42,f761]) ).
fof(f1192,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1184]) ).
fof(f1307,plain,
! [X0] :
( ~ sQ20_spl
| c_in(v_K,c_Message_OkeysFor(c_union(X0,c_Message_Oparts(v_H),tc_Message_Omsg)),tc_nat) ),
inference(paramodulation,[status(thm)],[f26,f1034]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ20_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_H,tc_Message_Omsg))),tc_nat) ),
inference(paramodulation,[status(thm)],[f31,f1307]) ).
fof(f1578,plain,
( ~ sQ20_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f42,f1442]) ).
fof(f1586,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f1578]) ).
fof(f1934,plain,
( ~ sQ22_spl
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ),
inference(resolution,[status(thm)],[f889,f50]) ).
fof(f1935,plain,
( ~ sQ22_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1934,f799,f845]) ).
fof(f2116,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oanalz(v_H),tc_Message_Omsg) ),
inference(forward_demodulation,[status(thm)],[f893,f853]) ).
fof(f2117,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(resolution,[status(thm)],[f2116,f22]) ).
fof(f2122,plain,
( ~ sQ24_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2117,f43]) ).
fof(f2123,plain,
( ~ sQ24_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f2122]) ).
fof(f2124,plain,
$false,
inference(sat_refutation,[status(thm)],[f713,f802,f851,f855,f1192,f1586,f1935,f2123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV276-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 08:32:57 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.68 % Refutation found
% 0.14/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.69/0.71 % Elapsed time: 0.329464 seconds
% 0.69/0.71 % CPU time: 2.281853 seconds
% 0.69/0.71 % Total memory used: 169.437 MB
% 0.69/0.71 % Net memory used: 166.908 MB
%------------------------------------------------------------------------------