%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV276-1 : 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 : n010.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 12.18s 2.72s
% Output : Refutation 14.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 97 ( 29 unt; 4 def)
% Number of atoms : 193 ( 21 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 175 ( 79 ~; 92 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 6 con; 0-3 aty)
% Number of variables : 115 ( 0 sgn 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,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(f3181,axiom,
! [X0,X1] : c_union(X0,X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
fof(f3190,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(f3191,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(f3192,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(f3193,axiom,
! [X2,X3,X0,X1] : c_union(c_insert(X0,X1,X2),X3,X2) = c_insert(X0,c_union(X1,X3,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).
fof(f3252,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__iff_1) ).
fof(f3328,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(f3330,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(f3367,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(f3396,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(f3397,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(f3398,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,[],[f3397]) ).
fof(f3414,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_Message_Osynth(c_Message_Oanalz(c_insert(X0,X1,tc_Message_Omsg))) = c_Message_Osynth(c_Message_Oanalz(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__analz__eq_0) ).
fof(f3415,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_Message_Osynth(c_Message_Oanalz(X1)) = c_Message_Osynth(c_Message_Oanalz(c_insert(X0,X1,tc_Message_Omsg))) ),
inference(reorient_equations,[],[f3414]) ).
fof(f3460,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz_OInj_0) ).
fof(f3464,axiom,
! [X0,X1] : c_Message_Oanalz(c_union(c_Message_Oanalz(X0),X1,tc_Message_Omsg)) = c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analz__Un_0) ).
fof(f3465,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(f3482,axiom,
! [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),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__synth__Un_0) ).
fof(f3486,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(f3487,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f3486]) ).
fof(f3490,axiom,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__idem_0) ).
fof(f3491,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f3490]) ).
fof(f3503,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(f3511,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(f3512,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(f3513,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(f3515,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(f3516,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(f3517,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(f3518,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(f3716,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,[],[f3513,f3367]) ).
fof(f3728,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,[],[f3191,f3330]) ).
fof(f3729,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,[],[f3192,f3330]) ).
fof(f3730,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,[],[f3190,f3330]) ).
fof(f3739,plain,
! [X0,X1] :
( c_in(c_Message_Omsg_OKey(v_sko__uhi(c_Message_Oanalz(X1),X0)),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(X1))),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat) ),
inference(resolution,[],[f3396,f3465]) ).
fof(f3745,plain,
! [X2,X0,X1] :
( c_in(X2,c_Message_Oanalz(c_union(c_Message_Osynth(X0),X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X2,c_Message_Oanalz(c_union(X0,X1,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[],[f3191,f3482]) ).
fof(f3762,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,[],[f3728,f3367]) ).
fof(f3763,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,[],[f3729,f3367]) ).
fof(f3765,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,[],[f3730,f3367]) ).
fof(f3796,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,[],[f126,f3512]) ).
fof(f3849,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat) ),
inference(resolution,[],[f3796,f3511]) ).
fof(f3886,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,[],[f3730,f3503]) ).
fof(f4088,plain,
c_Message_Osynth(c_Message_Oanalz(v_H)) = c_Message_Osynth(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg))),
inference(resolution,[],[f3415,f3516]) ).
fof(f4239,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
inference(resolution,[],[f3763,f3517]) ).
fof(f4275,plain,
~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat),
inference(resolution,[],[f3762,f3517]) ).
fof(f4417,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_insert(X0,X3,tc_Message_Omsg))),tc_nat)
| c_in(X2,c_Message_OkeysFor(c_Message_Oparts(c_union(X1,X3,tc_Message_Omsg))),tc_nat)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(resolution,[],[f3716,f3796]) ).
fof(f4609,plain,
! [X0,X1] :
( c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X1,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_union(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X1,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[],[f3745,f4088]) ).
fof(f4618,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(c_union(c_insert(v_X,v_H,tc_Message_Omsg),X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X1,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f4609,f3464]) ).
fof(f4619,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(c_insert(v_X,c_union(v_H,X1,tc_Message_Omsg),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),X1,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f4618,f3193]) ).
fof(f4622,plain,
! [X0] :
( c_in(X0,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(superposition,[],[f4619,f3181]) ).
fof(f4631,plain,
! [X0] :
( c_in(X0,c_Message_Oparts(c_union(c_Message_Osynth(c_Message_Oanalz(v_H)),v_H,tc_Message_Omsg)),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f4622,f3465]) ).
fof(f5288,plain,
! [X0] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(X0,v_G,tc_Message_Omsg))),tc_nat)
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(resolution,[],[f4417,f3515]) ).
fof(f5292,plain,
! [X0] :
( ~ c_in(v_X,X0,tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_G)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(resolution,[],[f5288,f3765]) ).
fof(f5297,plain,
! [X0] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat)
| ~ c_in(v_X,X0,tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[],[f5292,f4275]) ).
fof(f5301,plain,
! [X0,X1] :
( ~ c_in(v_X,c_union(X0,X1,tc_Message_Omsg),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(resolution,[],[f5297,f3765]) ).
fof(f5319,plain,
! [X0,X1] :
( ~ c_in(v_X,c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Oparts(X1))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Oparts(X0))),tc_nat) ),
inference(superposition,[],[f5301,f3367]) ).
fof(f5332,plain,
! [X0,X1] :
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| ~ c_in(v_X,c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Oparts(X0))),tc_nat) ),
inference(forward_demodulation,[],[f5319,f3491]) ).
fof(f5334,plain,
! [X0,X1] :
( ~ c_in(v_X,c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X1)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(X0)),tc_nat) ),
inference(forward_demodulation,[],[f5332,f3491]) ).
fof(f5428,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)
| ~ c_in(v_X,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(resolution,[],[f5334,f4631]) ).
fof(f5456,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)
| ~ c_in(v_X,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
inference(forward_subsumption_resolution,[],[f5428,f4239]) ).
fof(f5464,definition,
( spl0_10
<=> c_in(v_X,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f5466,plain,
( ~ c_in(v_X,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg)
| spl0_10 ),
inference(avatar_component_clause,[],[f5464]) ).
fof(f5468,definition,
( spl0_11
<=> 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,[spl0_11])],[avatar_definition]) ).
fof(f5470,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Osynth(c_Message_Oanalz(v_H)))),tc_nat)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f5468]) ).
fof(f5471,plain,
( ~ spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f5456,f5468,f5464]) ).
fof(f5473,plain,
( ~ c_in(v_X,c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
| spl0_10 ),
inference(resolution,[],[f5466,f3460]) ).
fof(f5474,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[],[f5473,f3252]) ).
fof(f5475,plain,
spl0_10,
inference(avatar_contradiction_clause,[],[f5474]) ).
fof(f5476,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Message_Oanalz(v_H))),tc_nat)
| ~ spl0_11 ),
inference(resolution,[],[f5470,f3886]) ).
fof(f5477,plain,
( 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)
| ~ spl0_11 ),
inference(forward_demodulation,[],[f5476,f3487]) ).
fof(f5478,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[],[f5477,f4239]) ).
fof(f5479,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K))
| ~ spl0_11 ),
inference(resolution,[],[f5478,f3398]) ).
fof(f5481,definition,
( spl0_12
<=> v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K)) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f5483,plain,
( v_K = c_Message_OinvKey(v_sko__uhi(c_Message_Oanalz(v_H),v_K))
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f5481]) ).
fof(f5485,definition,
( spl0_13
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f5487,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f5485]) ).
fof(f5488,plain,
( spl0_12
| spl0_13
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f5479,f5468,f5485,f5481]) ).
fof(f5490,plain,
( c_Message_OinvKey(v_K) = v_sko__uhi(c_Message_Oanalz(v_H),v_K)
| ~ spl0_12 ),
inference(superposition,[],[f3328,f5483]) ).
fof(f5493,plain,
( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(v_H),tc_Message_Omsg)
| ~ c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| ~ spl0_12 ),
inference(superposition,[],[f3739,f5490]) ).
fof(f5496,plain,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Osynth(c_Message_Oanalz(v_H))),tc_nat)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f5493,f3518]) ).
fof(f5502,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat)
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f5496,f5478]) ).
fof(f5503,plain,
( spl0_13
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f5502,f5481,f5468,f5485]) ).
fof(f5504,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat)
| ~ spl0_13 ),
inference(resolution,[],[f5487,f3849]) ).
fof(f5505,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[],[f5504,f4239]) ).
fof(f5506,plain,
~ spl0_13,
inference(avatar_contradiction_clause,[],[f5505]) ).
cnf(s5,plain,
( ~ spl0_10
| spl0_11 ),
inference(sat_conversion,[],[f5471]) ).
cnf(s6,plain,
spl0_10,
inference(sat_conversion,[],[f5475]) ).
cnf(s7,plain,
( ~ spl0_11
| spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f5488]) ).
cnf(s9,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_13 ),
inference(sat_conversion,[],[f5503]) ).
cnf(s10,plain,
~ spl0_13,
inference(sat_conversion,[],[f5506]) ).
cnf(s11,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(rat,[],[s9,s10]) ).
cnf(s13,plain,
( ~ spl0_11
| spl0_12 ),
inference(rat,[],[s7,s10]) ).
cnf(s14,plain,
spl0_11,
inference(rat,[],[s5,s6]) ).
cnf(s15,plain,
~ spl0_12,
inference(rat,[],[s11,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s13,s15,s14]) ).
fof(f5507,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV276-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n010.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:23:02 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running first-order theorem proving
% 0.08/0.24 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
% 11.02/2.32 % (1831745)Input is clausal, will run a generic CNF schedule.
% 11.02/2.32 % (1831752)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3466303615:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 11.02/2.32 % (1831751)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2399112896:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 11.02/2.32 % (1831755)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3943149602:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 11.02/2.32 % (1831754)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1331914462:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 11.02/2.32 % (1831753)lrs+10_1_sil=8000:sp=occurrence:random_seed=132121526:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 11.02/2.32 % (1831756)dis-21_1_sil=8000:lcm=predicate:random_seed=2771262767: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)
% 11.02/2.32 % (1831750)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=455691207:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 11.02/2.32 % (1831756)Instruction limit reached!
% 11.02/2.32 % (1831756)------------------------------
% 11.02/2.32 % (1831756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.32 % (1831756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.32 % (1831756)CaDiCaL version: 2.1.3
% 11.02/2.32 % (1831756)Termination reason: Instruction limit
% 11.02/2.32 % (1831756)Termination phase: Saturation
% 11.02/2.32 % (1831756)Time elapsed: 0.064 s
% 11.02/2.32 % (1831756)Peak memory usage: 91 MB
% 11.02/2.32 % (1831756)Instructions burned: 118 (million)
% 11.02/2.32 % (1831754)Instruction limit reached!
% 11.02/2.32 % (1831754)------------------------------
% 11.02/2.32 % (1831754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.32 % (1831754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.32 % (1831754)CaDiCaL version: 2.1.3
% 11.02/2.32 % (1831754)Termination reason: Instruction limit
% 11.02/2.32 % (1831754)Termination phase: Saturation
% 11.02/2.32 % (1831754)Time elapsed: 0.071 s
% 11.02/2.32 % (1831754)Peak memory usage: 90 MB
% 11.02/2.32 % (1831754)Instructions burned: 114 (million)
% 11.02/2.32 % (1831753)Instruction limit reached!
% 11.02/2.32 % (1831753)------------------------------
% 11.02/2.32 % (1831753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.32 % (1831753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.32 % (1831753)CaDiCaL version: 2.1.3
% 11.02/2.32 % (1831753)Termination reason: Instruction limit
% 11.02/2.32 % (1831753)Termination phase: Saturation
% 11.02/2.32 % (1831753)Time elapsed: 0.073 s
% 11.02/2.32 % (1831753)Peak memory usage: 91 MB
% 11.02/2.32 % (1831753)Instructions burned: 107 (million)
% 11.02/2.32 % (1831755)Instruction limit reached!
% 11.02/2.32 % (1831755)------------------------------
% 11.02/2.32 % (1831755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.02/2.32 % (1831755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.02/2.32 % (1831755)CaDiCaL version: 2.1.3
% 11.02/2.32 % (1831755)Termination reason: Instruction limit
% 11.02/2.32 % (1831755)Termination phase: Saturation
% 11.02/2.32 % (1831755)Time elapsed: 0.110 s
% 11.02/2.32 % (1831755)Peak memory usage: 91 MB
% 11.02/2.32 % (1831755)Instructions burned: 181 (million)
% 11.02/2.32 % (1831764)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=3231014214:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 11.02/2.32 % (1831765)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1894747729:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 11.02/2.32 % (1831766)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1785674127:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 11.02/2.32 % (1831767)lrs+10_64_to=lpo:sil=8000:random_seed=594533369:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.02/2.32 % (1831764)Instruction limit reached!
% 12.18/2.72 % (1831764)------------------------------
% 12.18/2.72 % (1831764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831764)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831764)Termination reason: Instruction limit
% 12.18/2.72 % (1831764)Termination phase: Saturation
% 12.18/2.72 % (1831764)Time elapsed: 0.083 s
% 12.18/2.72 % (1831764)Peak memory usage: 90 MB
% 12.18/2.72 % (1831764)Instructions burned: 144 (million)
% 12.18/2.72 % (1831765)Instruction limit reached!
% 12.18/2.72 % (1831765)------------------------------
% 12.18/2.72 % (1831765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831765)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831765)Termination reason: Instruction limit
% 12.18/2.72 % (1831765)Termination phase: Saturation
% 12.18/2.72 % (1831765)Time elapsed: 0.114 s
% 12.18/2.72 % (1831765)Peak memory usage: 92 MB
% 12.18/2.72 % (1831765)Instructions burned: 190 (million)
% 12.18/2.72 % (1831767)Instruction limit reached!
% 12.18/2.72 % (1831767)------------------------------
% 12.18/2.72 % (1831767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831767)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831767)Termination reason: Instruction limit
% 12.18/2.72 % (1831767)Termination phase: Saturation
% 12.18/2.72 % (1831767)Time elapsed: 0.073 s
% 12.18/2.72 % (1831767)Peak memory usage: 92 MB
% 12.18/2.72 % (1831767)Instructions burned: 126 (million)
% 12.18/2.72 % (1831766)Instruction limit reached!
% 12.18/2.72 % (1831766)------------------------------
% 12.18/2.72 % (1831766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831766)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831766)Termination reason: Instruction limit
% 12.18/2.72 % (1831766)Termination phase: Saturation
% 12.18/2.72 % (1831766)Time elapsed: 0.133 s
% 12.18/2.72 % (1831766)Peak memory usage: 92 MB
% 12.18/2.72 % (1831766)Instructions burned: 220 (million)
% 12.18/2.72 % (1831772)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2378079384:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 12.18/2.72 % (1831772)Instruction limit reached!
% 12.18/2.72 % (1831772)------------------------------
% 12.18/2.72 % (1831772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831772)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831772)Termination reason: Instruction limit
% 12.18/2.72 % (1831772)Termination phase: Saturation
% 12.18/2.72 % (1831772)Time elapsed: 0.060 s
% 12.18/2.72 % (1831772)Peak memory usage: 92 MB
% 12.18/2.72 % (1831772)Instructions burned: 197 (million)
% 12.18/2.72 % (1831773)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3255909400:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 12.18/2.72 % (1831775)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=3070602926:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 12.18/2.72 % (1831774)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=179085146:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 12.18/2.72 % (1831775)Instruction limit reached!
% 12.18/2.72 % (1831775)------------------------------
% 12.18/2.72 % (1831775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831775)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831775)Termination reason: Instruction limit
% 12.18/2.72 % (1831775)Termination phase: Saturation
% 12.18/2.72 % (1831775)Time elapsed: 0.061 s
% 12.18/2.72 % (1831775)Peak memory usage: 90 MB
% 12.18/2.72 % (1831775)Instructions burned: 107 (million)
% 12.18/2.72 % (1831773)Instruction limit reached!
% 12.18/2.72 % (1831773)------------------------------
% 12.18/2.72 % (1831773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831773)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831773)Termination reason: Instruction limit
% 12.18/2.72 % (1831773)Termination phase: Saturation
% 12.18/2.72 % (1831773)Time elapsed: 0.084 s
% 12.18/2.72 % (1831773)Peak memory usage: 92 MB
% 12.18/2.72 % (1831773)Instructions burned: 158 (million)
% 12.18/2.72 % (1831777)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=26571588:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 12.18/2.72 % (1831777)Instruction limit reached!
% 12.18/2.72 % (1831777)------------------------------
% 12.18/2.72 % (1831777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831777)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831777)Termination reason: Instruction limit
% 12.18/2.72 % (1831777)Termination phase: Saturation
% 12.18/2.72 % (1831777)Time elapsed: 0.038 s
% 12.18/2.72 % (1831777)Peak memory usage: 92 MB
% 12.18/2.72 % (1831777)Instructions burned: 110 (million)
% 12.18/2.72 % (1831781)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3142762203:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 12.18/2.72 % (1831782)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2869316574:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 12.18/2.72 % (1831784)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2324276401:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 12.18/2.72 % (1831784)Instruction limit reached!
% 12.18/2.72 % (1831784)------------------------------
% 12.18/2.72 % (1831784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831784)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831784)Termination reason: Instruction limit
% 12.18/2.72 % (1831784)Termination phase: Saturation
% 12.18/2.72 % (1831784)Time elapsed: 0.033 s
% 12.18/2.72 % (1831784)Peak memory usage: 90 MB
% 12.18/2.72 % (1831784)Instructions burned: 137 (million)
% 12.18/2.72 % (1831781)Instruction limit reached!
% 12.18/2.72 % (1831781)------------------------------
% 12.18/2.72 % (1831781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831781)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831781)Termination reason: Instruction limit
% 12.18/2.72 % (1831781)Termination phase: Saturation
% 12.18/2.72 % (1831781)Time elapsed: 0.130 s
% 12.18/2.72 % (1831781)Peak memory usage: 91 MB
% 12.18/2.72 % (1831781)Instructions burned: 243 (million)
% 12.18/2.72 % (1831788)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2243297477:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 12.18/2.72 % (1831789)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3545045698:i=191:fgj=on:bd=all_2988 on theBenchmark for (2988ds/191Mi)
% 12.18/2.72 % (1831789)Instruction limit reached!
% 12.18/2.72 % (1831789)------------------------------
% 12.18/2.72 % (1831789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831789)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831789)Termination reason: Instruction limit
% 12.18/2.72 % (1831789)Termination phase: Saturation
% 12.18/2.72 % (1831789)Time elapsed: 0.114 s
% 12.18/2.72 % (1831789)Peak memory usage: 92 MB
% 12.18/2.72 % (1831789)Instructions burned: 192 (million)
% 12.18/2.72 % (1831788)Instruction limit reached!
% 12.18/2.72 % (1831788)------------------------------
% 12.18/2.72 % (1831788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831788)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831788)Termination reason: Instruction limit
% 12.18/2.72 % (1831788)Termination phase: Saturation
% 12.18/2.72 % (1831788)Time elapsed: 0.274 s
% 12.18/2.72 % (1831788)Peak memory usage: 100 MB
% 12.18/2.72 % (1831788)Instructions burned: 500 (million)
% 12.18/2.72 % (1831792)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3715972251:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 12.18/2.72 % (1831793)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3072260352:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 12.18/2.72 % (1831792)Instruction limit reached!
% 12.18/2.72 % (1831792)------------------------------
% 12.18/2.72 % (1831792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831792)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831792)Termination reason: Instruction limit
% 12.18/2.72 % (1831792)Termination phase: Saturation
% 12.18/2.72 % (1831792)Time elapsed: 0.121 s
% 12.18/2.72 % (1831792)Peak memory usage: 94 MB
% 12.18/2.72 % (1831792)Instructions burned: 264 (million)
% 12.18/2.72 % (1831793)Instruction limit reached!
% 12.18/2.72 % (1831793)------------------------------
% 12.18/2.72 % (1831793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.18/2.72 % (1831793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.18/2.72 % (1831793)CaDiCaL version: 2.1.3
% 12.18/2.72 % (1831793)Termination reason: Instruction limit
% 12.18/2.72 % (1831793)Termination phase: Saturation
% 12.18/2.72 % (1831793)Time elapsed: 0.087 s
% 12.18/2.72 % (1831793)Peak memory usage: 91 MB
% 12.18/2.72 % (1831793)Instructions burned: 158 (million)
% 12.18/2.72 % (1831774)First to succeed.
% 12.18/2.72 % (1831774)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1831745"
% 12.18/2.72 % (1831796)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1530770586:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 12.18/2.72 % (1831797)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1593631627:i=537:av=off:ss=included_2982 on theBenchmark for (2982ds/537Mi)
% 12.18/2.72 % (1831774)Refutation found. Thanks to Tanya!
% 12.18/2.72 % SZS status Unsatisfiable for theBenchmark
% 12.18/2.72 % SZS output start Proof for theBenchmark
% See solution above
% 14.52/2.92 % (1831774)------------------------------
% 14.52/2.92 % (1831774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.52/2.92 % (1831774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.52/2.92 % (1831774)CaDiCaL version: 2.1.3
% 14.52/2.92 % (1831774)Termination reason: Refutation
% 14.52/2.92 % (1831774)Time elapsed: 0.997 s
% 14.52/2.92 % (1831774)Peak memory usage: 144 MB
% 14.52/2.92 % (1831774)Instructions burned: 1752 (million)
% 14.52/2.92 % (1831774)------------------------------
% 14.52/2.92 % (1831774)------------------------------
% 14.52/2.92 % (1831745)Success in time 2.029 s
% 14.52/2.92 % Vampire exiting
%------------------------------------------------------------------------------