%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV276-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 01:08:38 PM UTC 2026
% Result : Unsatisfiable 7.01s 1.85s
% Output : Refutation 9.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 32
% Syntax : Number of formulae : 112 ( 50 unt; 13 def)
% Number of atoms : 213 ( 40 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 174 ( 73 ~; 99 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 17 con; 0-3 aty)
% Number of variables : 100 ( 0 sgn 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OkeysFor__synth_H_0) ).
fof(f2,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat)
| c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| X0 = c_Message_OinvKey(v_sko__uhi(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OkeysFor__synth_H_1) ).
fof(f3,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(X1)),tc_nat)
| c_in(X0,c_Message_OkeysFor(X1),tc_nat)
| c_Message_OinvKey(v_sko__uhi(X1,X0)) = X0 ),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
fof(f5,axiom,
! [X0] : c_lessequals(c_Message_Oanalz(X0),c_Message_Oparts(X0),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__parts_0) ).
fof(f6,axiom,
! [X0] : c_Message_OinvKey(c_Message_OinvKey(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OinvKey_A_IinvKey_Ay_J_A_61_61_Ay_0) ).
fof(f7,axiom,
! [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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OkeysFor__mono_0) ).
fof(f8,axiom,
! [X0,X1] : c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_OkeysFor(X0),c_Message_OkeysFor(X1),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OkeysFor__Un_0) ).
fof(f9,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
fof(f10,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,X1,tc_Message_Omsg)
| 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)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__insert__subset__Un_0) ).
fof(f12,axiom,
! [X0] : c_Message_Oparts(c_Message_Osynth(X0)) = c_union(c_Message_Oparts(X0),c_Message_Osynth(X0),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__synth_0) ).
fof(f13,axiom,
! [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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).
fof(f16,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).
fof(f17,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).
fof(f18,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f19,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_H)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f20,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f21,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f22,definition,
sF0 = c_insert(v_X,v_G,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f23,plain,
c_insert(v_X,v_G,tc_Message_Omsg) = sF0,
inference(reorient_equations,[],[f22]) ).
fof(f24,definition,
sF1 = c_Message_Oparts(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f25,plain,
c_Message_Oparts(sF0) = sF1,
inference(reorient_equations,[],[f24]) ).
fof(f26,definition,
sF2 = c_Message_OkeysFor(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f27,plain,
c_Message_OkeysFor(sF1) = sF2,
inference(reorient_equations,[],[f26]) ).
fof(f28,plain,
c_in(v_K,sF2,tc_nat),
inference(definition_folding,[],[f18,f27,f25,f23]) ).
fof(f29,definition,
sF3 = c_Message_Oanalz(v_H),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f30,plain,
c_Message_Oanalz(v_H) = sF3,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF4 = c_Message_Osynth(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f32,plain,
c_Message_Osynth(sF3) = sF4,
inference(reorient_equations,[],[f31]) ).
fof(f33,plain,
c_in(v_X,sF4,tc_Message_Omsg),
inference(definition_folding,[],[f19,f32,f30]) ).
fof(f34,definition,
sF5 = c_union(v_G,v_H,tc_Message_Omsg),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f35,plain,
c_union(v_G,v_H,tc_Message_Omsg) = sF5,
inference(reorient_equations,[],[f34]) ).
fof(f36,definition,
sF6 = c_Message_Oparts(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f37,plain,
c_Message_Oparts(sF5) = sF6,
inference(reorient_equations,[],[f36]) ).
fof(f38,definition,
sF7 = c_Message_OkeysFor(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f39,plain,
c_Message_OkeysFor(sF6) = sF7,
inference(reorient_equations,[],[f38]) ).
fof(f40,plain,
~ c_in(v_K,sF7,tc_nat),
inference(definition_folding,[],[f20,f39,f37,f35]) ).
fof(f41,definition,
sF8 = c_Message_OinvKey(v_K),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f42,plain,
c_Message_OinvKey(v_K) = sF8,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF9 = c_Message_Omsg_OKey(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f44,plain,
c_Message_Omsg_OKey(sF8) = sF9,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF10 = c_Message_Oparts(v_H),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f46,plain,
c_Message_Oparts(v_H) = sF10,
inference(reorient_equations,[],[f45]) ).
fof(f47,plain,
~ c_in(sF9,sF10,tc_Message_Omsg),
inference(definition_folding,[],[f21,f46,f44,f42]) ).
fof(f48,plain,
! [X2,X0,X1] :
( c_lessequals(c_Message_Oparts(c_insert(X0,X2,tc_Message_Omsg)),c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f11,f13]) ).
fof(f60,plain,
c_Message_Oparts(v_H) = c_Message_Oparts(sF3),
inference(superposition,[],[f10,f30]) ).
fof(f61,plain,
sF10 = c_Message_Oparts(sF3),
inference(forward_demodulation,[],[f60,f46]) ).
fof(f65,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X2,tc_set(tc_Message_Omsg))
| c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(X1),tc_nat) ),
inference(resolution,[],[f14,f7]) ).
fof(f67,plain,
! [X0] :
( ~ c_in(X0,sF3,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(v_H),tc_Message_Omsg) ),
inference(superposition,[],[f4,f30]) ).
fof(f68,plain,
! [X0] :
( ~ c_in(X0,sF3,tc_Message_Omsg)
| c_in(X0,sF10,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f67,f46]) ).
fof(f71,plain,
! [X2,X0,X1] :
( c_in(X2,c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)),tc_nat)
| ~ c_in(X2,c_Message_OkeysFor(X1),tc_nat) ),
inference(superposition,[],[f17,f8]) ).
fof(f72,plain,
! [X2,X0,X1] :
( c_in(X2,c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)),tc_nat)
| ~ c_in(X2,c_Message_OkeysFor(X0),tc_nat) ),
inference(superposition,[],[f16,f8]) ).
fof(f73,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_OkeysFor(c_union(X0,X1,tc_Message_Omsg)),tc_nat)
| c_in(X2,c_Message_OkeysFor(X1),tc_nat)
| c_in(X2,c_Message_OkeysFor(X0),tc_nat) ),
inference(superposition,[],[f15,f8]) ).
fof(f78,plain,
! [X0] :
( ~ c_in(X0,c_Message_OkeysFor(sF4),tc_nat)
| c_in(X0,c_Message_OkeysFor(sF3),tc_nat)
| c_Message_OinvKey(v_sko__uhi(sF3,X0)) = X0 ),
inference(superposition,[],[f3,f32]) ).
fof(f109,plain,
! [X0] :
( c_in(c_Message_Omsg_OKey(v_sko__uhi(sF3,X0)),sF10,tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(sF3),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(sF3)),tc_nat) ),
inference(resolution,[],[f68,f1]) ).
fof(f110,plain,
! [X0] :
( c_in(c_Message_Omsg_OKey(v_sko__uhi(sF3,X0)),sF10,tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(sF4),tc_nat)
| c_in(X0,c_Message_OkeysFor(sF3),tc_nat) ),
inference(forward_demodulation,[],[f109,f32]) ).
fof(f114,plain,
c_lessequals(c_Message_Oanalz(v_H),sF10,tc_set(tc_Message_Omsg)),
inference(superposition,[],[f5,f46]) ).
fof(f118,plain,
c_lessequals(sF3,sF10,tc_set(tc_Message_Omsg)),
inference(forward_demodulation,[],[f114,f30]) ).
fof(f121,plain,
! [X0,X1] :
( ~ c_in(X1,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(X0))),tc_nat)
| c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X0)),tc_nat)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(superposition,[],[f73,f12]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg))),tc_nat)
| c_in(X2,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| c_in(X2,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(superposition,[],[f73,f13]) ).
fof(f127,plain,
! [X2,X0,X1] :
( c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat) ),
inference(superposition,[],[f71,f13]) ).
fof(f131,plain,
! [X2,X0,X1] :
( c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg))),tc_nat)
| ~ c_in(X2,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(superposition,[],[f72,f13]) ).
fof(f143,plain,
! [X0] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(sF5)),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat) ),
inference(superposition,[],[f131,f35]) ).
fof(f146,plain,
! [X0] :
( c_in(X0,c_Message_OkeysFor(sF6),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat) ),
inference(forward_demodulation,[],[f143,f37]) ).
fof(f147,plain,
! [X0] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)
| c_in(X0,sF7,tc_nat) ),
inference(forward_demodulation,[],[f146,f39]) ).
fof(f150,plain,
! [X0] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(sF5)),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ),
inference(superposition,[],[f127,f35]) ).
fof(f153,plain,
! [X0] :
( c_in(X0,c_Message_OkeysFor(sF6),tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ),
inference(forward_demodulation,[],[f150,f37]) ).
fof(f154,plain,
! [X0] :
( c_in(X0,sF7,tc_nat)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat) ),
inference(forward_demodulation,[],[f153,f39]) ).
fof(f155,plain,
! [X0] :
( ~ c_in(X0,c_Message_OkeysFor(sF10),tc_nat)
| c_in(X0,sF7,tc_nat) ),
inference(forward_demodulation,[],[f154,f46]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_insert(X3,X2,tc_Message_Omsg))),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg))),tc_nat)
| ~ c_in(X3,X1,tc_Message_Omsg) ),
inference(resolution,[],[f65,f48]) ).
fof(f164,plain,
! [X0] :
( ~ c_in(X0,c_Message_OkeysFor(sF3),tc_nat)
| c_in(X0,c_Message_OkeysFor(sF10),tc_nat) ),
inference(resolution,[],[f65,f118]) ).
fof(f165,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(sF0)),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,v_G,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,X1,tc_Message_Omsg) ),
inference(superposition,[],[f163,f23]) ).
fof(f166,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(sF1),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,v_G,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,X1,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f165,f25]) ).
fof(f167,plain,
! [X0,X1] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,v_G,tc_Message_Omsg))),tc_nat)
| ~ c_in(X0,sF2,tc_nat)
| ~ c_in(v_X,X1,tc_Message_Omsg) ),
inference(forward_demodulation,[],[f166,f27]) ).
fof(f168,plain,
! [X0,X1] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| ~ c_in(v_X,X1,tc_Message_Omsg)
| ~ c_in(X0,sF2,tc_nat) ),
inference(resolution,[],[f167,f122]) ).
fof(f228,plain,
! [X0,X1] :
( c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| ~ c_in(v_X,X1,tc_Message_Omsg)
| ~ c_in(X0,sF2,tc_nat)
| c_in(X0,sF7,tc_nat) ),
inference(resolution,[],[f168,f147]) ).
fof(f254,plain,
! [X0,X1] :
( c_in(X1,c_Message_OkeysFor(c_Message_Osynth(X0)),tc_nat)
| ~ c_in(X1,sF2,tc_nat)
| c_in(X1,sF7,tc_nat)
| ~ c_in(v_X,c_Message_Osynth(X0),tc_Message_Omsg)
| c_in(X1,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(resolution,[],[f228,f121]) ).
fof(f799,plain,
! [X0] :
( c_in(X0,c_Message_OkeysFor(sF4),tc_nat)
| ~ c_in(X0,sF2,tc_nat)
| c_in(X0,sF7,tc_nat)
| ~ c_in(v_X,sF4,tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(sF3)),tc_nat) ),
inference(superposition,[],[f254,f32]) ).
fof(f800,plain,
! [X0] :
( c_in(X0,c_Message_OkeysFor(sF4),tc_nat)
| ~ c_in(X0,sF2,tc_nat)
| c_in(X0,sF7,tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(sF3)),tc_nat) ),
inference(forward_subsumption_resolution,[],[f799,f33]) ).
fof(f801,plain,
! [X0] :
( c_in(X0,c_Message_OkeysFor(sF10),tc_nat)
| c_in(X0,c_Message_OkeysFor(sF4),tc_nat)
| ~ c_in(X0,sF2,tc_nat)
| c_in(X0,sF7,tc_nat) ),
inference(forward_demodulation,[],[f800,f61]) ).
fof(f802,plain,
! [X0] :
( c_in(X0,c_Message_OkeysFor(sF4),tc_nat)
| ~ c_in(X0,sF2,tc_nat)
| c_in(X0,sF7,tc_nat) ),
inference(forward_subsumption_resolution,[],[f801,f155]) ).
fof(f803,plain,
! [X0] :
( c_in(X0,c_Message_OkeysFor(sF3),tc_nat)
| c_in(X0,sF7,tc_nat)
| ~ c_in(X0,sF2,tc_nat)
| c_Message_OinvKey(v_sko__uhi(sF3,X0)) = X0 ),
inference(resolution,[],[f802,f78]) ).
fof(f804,plain,
! [X0] :
( c_in(X0,sF7,tc_nat)
| ~ c_in(X0,sF2,tc_nat)
| c_Message_OinvKey(v_sko__uhi(sF3,X0)) = X0
| c_in(X0,c_Message_OkeysFor(sF10),tc_nat) ),
inference(resolution,[],[f803,f164]) ).
fof(f805,plain,
! [X0] :
( ~ c_in(X0,sF2,tc_nat)
| c_in(X0,sF7,tc_nat)
| c_Message_OinvKey(v_sko__uhi(sF3,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f804,f155]) ).
fof(f806,plain,
( c_in(v_K,sF7,tc_nat)
| v_K = c_Message_OinvKey(v_sko__uhi(sF3,v_K)) ),
inference(resolution,[],[f805,f28]) ).
fof(f807,plain,
v_K = c_Message_OinvKey(v_sko__uhi(sF3,v_K)),
inference(forward_subsumption_resolution,[],[f806,f40]) ).
fof(f808,plain,
c_Message_OinvKey(v_K) = v_sko__uhi(sF3,v_K),
inference(superposition,[],[f6,f807]) ).
fof(f809,plain,
sF8 = v_sko__uhi(sF3,v_K),
inference(forward_demodulation,[],[f808,f42]) ).
fof(f811,plain,
( c_in(c_Message_Omsg_OKey(sF8),sF10,tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(sF4),tc_nat)
| c_in(v_K,c_Message_OkeysFor(sF3),tc_nat) ),
inference(superposition,[],[f110,f809]) ).
fof(f814,plain,
( c_in(sF9,sF10,tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(sF4),tc_nat)
| c_in(v_K,c_Message_OkeysFor(sF3),tc_nat) ),
inference(forward_demodulation,[],[f811,f44]) ).
fof(f816,plain,
( ~ c_in(v_K,c_Message_OkeysFor(sF4),tc_nat)
| c_in(v_K,c_Message_OkeysFor(sF3),tc_nat) ),
inference(forward_subsumption_resolution,[],[f814,f47]) ).
fof(f818,definition,
( spl11_21
<=> c_in(v_K,c_Message_OkeysFor(sF3),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl11_21])],[avatar_definition]) ).
fof(f820,plain,
( c_in(v_K,c_Message_OkeysFor(sF3),tc_nat)
| ~ spl11_21 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f826,definition,
( spl11_23
<=> c_in(v_K,c_Message_OkeysFor(sF4),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl11_23])],[avatar_definition]) ).
fof(f828,plain,
( ~ c_in(v_K,c_Message_OkeysFor(sF4),tc_nat)
| spl11_23 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,plain,
( spl11_21
| ~ spl11_23 ),
inference(avatar_split_clause,[],[f816,f826,f818]) ).
fof(f831,plain,
( ~ c_in(v_K,sF2,tc_nat)
| c_in(v_K,sF7,tc_nat)
| spl11_23 ),
inference(resolution,[],[f828,f802]) ).
fof(f832,plain,
( c_in(v_K,sF7,tc_nat)
| spl11_23 ),
inference(forward_subsumption_resolution,[],[f831,f28]) ).
fof(f833,plain,
( $false
| spl11_23 ),
inference(forward_subsumption_resolution,[],[f832,f40]) ).
fof(f834,plain,
spl11_23,
inference(avatar_contradiction_clause,[],[f833]) ).
fof(f836,plain,
( c_in(v_K,c_Message_OkeysFor(sF10),tc_nat)
| ~ spl11_21 ),
inference(resolution,[],[f820,f164]) ).
fof(f837,plain,
( c_in(v_K,sF7,tc_nat)
| ~ spl11_21 ),
inference(resolution,[],[f836,f155]) ).
fof(f838,plain,
( $false
| ~ spl11_21 ),
inference(forward_subsumption_resolution,[],[f837,f40]) ).
fof(f839,plain,
~ spl11_21,
inference(avatar_contradiction_clause,[],[f838]) ).
cnf(s18,plain,
( spl11_21
| ~ spl11_23 ),
inference(sat_conversion,[],[f830]) ).
cnf(s19,plain,
spl11_23,
inference(sat_conversion,[],[f834]) ).
cnf(s20,plain,
~ spl11_21,
inference(sat_conversion,[],[f839]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s18,s19,s20]) ).
fof(f840,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV276-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n002.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 10:25:22 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.01/1.85 % (255825)Input is clausal, will run a generic CNF schedule.
% 7.01/1.85 % (255833)lrs+10_1_sil=8000:sp=occurrence:random_seed=3260358336:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.01/1.85 % (255833)Instruction limit reached!
% 7.01/1.85 % (255833)------------------------------
% 7.01/1.85 % (255833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255833)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255833)Termination reason: Instruction limit
% 7.01/1.85 % (255833)Termination phase: Saturation
% 7.01/1.85 % (255833)Time elapsed: 0.036 s
% 7.01/1.85 % (255833)Peak memory usage: 89 MB
% 7.01/1.85 % (255833)Instructions burned: 111 (million)
% 7.01/1.85 % (255834)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3988644247:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.01/1.85 % (255830)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=824241830:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.01/1.85 % (255836)dis-21_1_sil=8000:lcm=predicate:random_seed=1941907497:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 7.01/1.85 % (255831)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=142038774:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.01/1.85 % (255832)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4002110105:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.01/1.85 % (255835)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1190285702:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.01/1.85 % (255836)Instruction limit reached!
% 7.01/1.85 % (255836)------------------------------
% 7.01/1.85 % (255836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255836)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255836)Termination reason: Instruction limit
% 7.01/1.85 % (255836)Termination phase: Saturation
% 7.01/1.85 % (255836)Time elapsed: 0.060 s
% 7.01/1.85 % (255836)Peak memory usage: 88 MB
% 7.01/1.85 % (255836)Instructions burned: 118 (million)
% 7.01/1.85 % (255834)Instruction limit reached!
% 7.01/1.85 % (255834)------------------------------
% 7.01/1.85 % (255834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255834)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255834)Termination reason: Instruction limit
% 7.01/1.85 % (255834)Termination phase: Saturation
% 7.01/1.85 % (255834)Time elapsed: 0.069 s
% 7.01/1.85 % (255834)Peak memory usage: 88 MB
% 7.01/1.85 % (255834)Instructions burned: 114 (million)
% 7.01/1.85 % (255843)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=452018409:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.01/1.85 % (255843)Refutation not found, incomplete strategy
% 7.01/1.85 % (255843)------------------------------
% 7.01/1.85 % (255843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255843)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255843)Termination reason: Refutation not found, incomplete strategy
% 7.01/1.85 % (255843)Time elapsed: 0.001 s
% 7.01/1.85 % (255843)Peak memory usage: 88 MB
% 7.01/1.85 % (255843)Instructions burned: 1 (million)
% 7.01/1.85 % (255835)Instruction limit reached!
% 7.01/1.85 % (255835)------------------------------
% 7.01/1.85 % (255835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255835)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255835)Termination reason: Instruction limit
% 7.01/1.85 % (255835)Termination phase: Saturation
% 7.01/1.85 % (255835)Time elapsed: 0.116 s
% 7.01/1.85 % (255835)Peak memory usage: 90 MB
% 7.01/1.85 % (255835)Instructions burned: 180 (million)
% 7.01/1.85 % (255846)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2207800371:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.01/1.85 % (255845)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=462307459:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 7.01/1.85 % (255846)Refutation not found, incomplete strategy
% 7.01/1.85 % (255846)------------------------------
% 7.01/1.85 % (255846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255846)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255846)Termination reason: Refutation not found, incomplete strategy
% 7.01/1.85 % (255846)Time elapsed: 0.001 s
% 7.01/1.85 % (255846)Peak memory usage: 87 MB
% 7.01/1.85 % (255846)Instructions burned: 1 (million)
% 7.01/1.85 % (255843)------------------------------
% 7.01/1.85 % (255843)------------------------------
% 7.01/1.85 % (255848)lrs+10_64_to=lpo:sil=8000:random_seed=3148313324:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.01/1.85 % (255845)Instruction limit reached!
% 7.01/1.85 % (255845)------------------------------
% 7.01/1.85 % (255845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255845)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255845)Termination reason: Instruction limit
% 7.01/1.85 % (255845)Termination phase: Saturation
% 7.01/1.85 % (255845)Time elapsed: 0.101 s
% 7.01/1.85 % (255845)Peak memory usage: 90 MB
% 7.01/1.85 % (255845)Instructions burned: 189 (million)
% 7.01/1.85 % (255851)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=838981181:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.01/1.85 % (255848)Instruction limit reached!
% 7.01/1.85 % (255848)------------------------------
% 7.01/1.85 % (255848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255848)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255848)Termination reason: Instruction limit
% 7.01/1.85 % (255848)Termination phase: Saturation
% 7.01/1.85 % (255848)Time elapsed: 0.074 s
% 7.01/1.85 % (255848)Peak memory usage: 88 MB
% 7.01/1.85 % (255848)Instructions burned: 127 (million)
% 7.01/1.85 % (255851)Instruction limit reached!
% 7.01/1.85 % (255851)------------------------------
% 7.01/1.85 % (255851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255851)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255851)Termination reason: Instruction limit
% 7.01/1.85 % (255851)Termination phase: Saturation
% 7.01/1.85 % (255851)Time elapsed: 0.060 s
% 7.01/1.85 % (255851)Peak memory usage: 90 MB
% 7.01/1.85 % (255851)Instructions burned: 195 (million)
% 7.01/1.85 % (255853)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1401305329:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 7.01/1.85 % (255846)------------------------------
% 7.01/1.85 % (255846)------------------------------
% 7.01/1.85 % (255856)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2777922114:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 7.01/1.85 % (255855)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=736720529:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.01/1.85 % (255856)Instruction limit reached!
% 7.01/1.85 % (255856)------------------------------
% 7.01/1.85 % (255856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255856)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255856)Termination reason: Instruction limit
% 7.01/1.85 % (255856)Termination phase: Saturation
% 7.01/1.85 % (255856)Time elapsed: 0.028 s
% 7.01/1.85 % (255856)Peak memory usage: 89 MB
% 7.01/1.85 % (255856)Instructions burned: 109 (million)
% 7.01/1.85 % (255853)Instruction limit reached!
% 7.01/1.85 % (255853)------------------------------
% 7.01/1.85 % (255853)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255853)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255853)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255853)Termination reason: Instruction limit
% 7.01/1.85 % (255853)Termination phase: Saturation
% 7.01/1.85 % (255853)Time elapsed: 0.103 s
% 7.01/1.85 % (255853)Peak memory usage: 91 MB
% 7.01/1.85 % (255853)Instructions burned: 158 (million)
% 7.01/1.85 % (255858)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1516664824:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 7.01/1.85 % (255858)Refutation not found, incomplete strategy
% 7.01/1.85 % (255858)------------------------------
% 7.01/1.85 % (255858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255858)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255858)Termination reason: Refutation not found, incomplete strategy
% 7.01/1.85 % (255858)Time elapsed: 0.002 s
% 7.01/1.85 % (255858)Peak memory usage: 87 MB
% 7.01/1.85 % (255858)Instructions burned: 1 (million)
% 7.01/1.85 % (255861)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1029320549:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 7.01/1.85 % (255861)Instruction limit reached!
% 7.01/1.85 % (255861)------------------------------
% 7.01/1.85 % (255861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255861)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255861)Termination reason: Instruction limit
% 7.01/1.85 % (255861)Termination phase: Saturation
% 7.01/1.85 % (255861)Time elapsed: 0.068 s
% 7.01/1.85 % (255861)Peak memory usage: 91 MB
% 7.01/1.85 % (255861)Instructions burned: 242 (million)
% 7.01/1.85 % (255862)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1446483658:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.01/1.85 % (255865)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1061068213:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 7.01/1.85 % (255830)First to succeed.
% 7.01/1.85 % (255830)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-255825"
% 7.01/1.85 % (255865)Instruction limit reached!
% 7.01/1.85 % (255865)------------------------------
% 7.01/1.85 % (255865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.01/1.85 % (255865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.01/1.85 % (255865)CaDiCaL version: 2.1.3
% 7.01/1.85 % (255865)Termination reason: Instruction limit
% 7.01/1.85 % (255865)Termination phase: Saturation
% 7.01/1.85 % (255865)Time elapsed: 0.034 s
% 7.01/1.85 % (255865)Peak memory usage: 89 MB
% 7.01/1.85 % (255865)Instructions burned: 137 (million)
% 7.01/1.85 % (255858)------------------------------
% 7.01/1.85 % (255858)------------------------------
% 7.01/1.85 % (255868)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2382090301:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 7.01/1.85 % (255832)Also succeeded, but the first one will report.
% 7.01/1.85 % (255869)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1313858010:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 7.01/1.85 % (255868)Also succeeded, but the first one will report.
% 7.01/1.85 % (255830)Refutation found. Thanks to Tanya!
% 7.01/1.85 % SZS status Unsatisfiable for theBenchmark
% 7.01/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 9.01/2.04 % (255830)------------------------------
% 9.01/2.04 % (255830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.01/2.04 % (255830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.01/2.04 % (255830)CaDiCaL version: 2.1.3
% 9.01/2.04 % (255830)Termination reason: Refutation
% 9.01/2.04 % (255830)Time elapsed: 0.770 s
% 9.01/2.04 % (255830)Peak memory usage: 130 MB
% 9.01/2.04 % (255830)Instructions burned: 1128 (million)
% 9.01/2.04 % (255830)------------------------------
% 9.01/2.04 % (255830)------------------------------
% 9.01/2.04 % (255825)Success in time 1.184 s
% 9.01/2.04 % Vampire exiting
%------------------------------------------------------------------------------