%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV838-1 : TPTP v9.3.1. Released v4.1.0.
% 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 01:19:37 PM UTC 2026
% Result : Unsatisfiable 5.14s 1.47s
% Output : Refutation 6.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 17 unt; 0 def)
% Number of atoms : 81 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 85 ( 41 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 7 con; 0-6 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f46,axiom,
! [X2,X0,X1] : c_Set_Oinsert(X0,X1,X2) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X0),X2),X1,tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__def_0) ).
fof(f365,axiom,
! [X0,X1] : c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f404,axiom,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
fof(f405,plain,
! [X0,X1] : c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0) = c_Collect(hAPP(c_fequal(X0),X1),X0),
inference(reorient_equations,[],[f404]) ).
fof(f445,axiom,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X6,X4)))
| ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X4,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_Ointros_I6_J_1) ).
fof(f446,axiom,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_Ointros_I6_J_0) ).
fof(f447,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X4,X5)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_hoare__derivs_Ointros_I6_J_2) ).
fof(f514,negated_conjecture,
hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),v_Ga)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f515,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f517,negated_conjecture,
! [X2,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Set_Oinsert(c_Hoare__Mirabelle_Otriple_Otriple(v_Z(X1,X2),v_c,v_s(X1,X2),t_a),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X0))
| ~ hBOOL(hAPP(hAPP(v_P,X1),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f518,negated_conjecture,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(v_Z(X0,X2),v_sa(X0,X2,X1)),X2))
| hBOOL(hAPP(hAPP(v_Q,X0),X1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f519,negated_conjecture,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(v_s(X0,X2),v_sa(X0,X2,X1)),X1))
| hBOOL(hAPP(hAPP(v_Q,X0),X1))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f603,plain,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1),X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool)),
inference(definition_unfolding,[],[f405,f46]) ).
fof(f636,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X6,X2,X4,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a)
| hBOOL(hAPP(hAPP(X4,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X6,X4)))
| ~ hBOOL(hAPP(hAPP(X6,X5),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a) ),
inference(definition_unfolding,[],[f445,f46,f46]) ).
fof(f637,plain,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a)
| hBOOL(hAPP(hAPP(X1,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X0,X1,X3,X2))) ),
inference(definition_unfolding,[],[f446,f46]) ).
fof(f638,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X4,X2,X5,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a)
| ~ hBOOL(hAPP(hAPP(X3,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X0,X1,X3,X2)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X0,X1,X3,X2,X4,X5)))
| c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X1,X2,X3,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a) ),
inference(definition_unfolding,[],[f447,f46,f46]) ).
fof(f670,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a),
inference(definition_unfolding,[],[f515,f46]) ).
fof(f672,plain,
! [X2,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(v_Z(X1,X2),v_c,v_s(X1,X2),t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X0))
| ~ hBOOL(hAPP(hAPP(v_P,X1),X2)) ),
inference(definition_unfolding,[],[f517,f46]) ).
fof(f842,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,c_Collect(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a),
inference(superposition,[],[f670,f603]) ).
fof(f844,plain,
! [X2,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X2,c_Collect(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_Z(X0,X1),v_c,v_s(X0,X1),t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
inference(superposition,[],[f672,f603]) ).
fof(f845,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,c_Collect(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X3,X5,X4,X1)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X5,X4,X1,X0,X2)))
| c_Hoare__Mirabelle_Ohoare__derivs(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X5,X1,X4,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a) ),
inference(superposition,[],[f638,f603]) ).
fof(f854,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X3,X5,X4,X1)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X5,X4,X1,X0,X2)))
| c_Hoare__Mirabelle_Ohoare__derivs(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X5,X1,X4,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a) ),
inference(forward_demodulation,[],[f845,f365]) ).
fof(f855,plain,
! [X2,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X2,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_Z(X0,X1),v_c,v_s(X0,X1),t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(c_lessequals(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),X2))
| ~ hBOOL(hAPP(hAPP(v_P,X0),X1)) ),
inference(forward_demodulation,[],[f844,f365]) ).
fof(f857,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_P,v_c,v_Q,t_a)),t_a),
inference(forward_demodulation,[],[f842,f365]) ).
fof(f864,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,c_Collect(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X1,X4,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,t_a)),t_a)
| ~ hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X3,X5,X4,X1)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X5,X4,X1,X0,X2))) ),
inference(forward_demodulation,[],[f854,f603]) ).
fof(f871,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ hBOOL(hAPP(hAPP(X4,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(X3,X5,X4,X1)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X5,X4,X1,X0,X2)))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X1,X4,t_a)),t_a) ),
inference(forward_demodulation,[],[f864,f365]) ).
fof(f1129,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,c_Collect(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| hBOOL(hAPP(hAPP(X2,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X5,X6,X1,X0,X2)))
| ~ hBOOL(hAPP(hAPP(X0,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X3,X5,X6,X1)))
| c_Hoare__Mirabelle_Ohoare__derivs(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X5,X1,X6,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a) ),
inference(superposition,[],[f636,f603]) ).
fof(f1134,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,t_a)),t_a)
| hBOOL(hAPP(hAPP(X2,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X5,X6,X1,X0,X2)))
| ~ hBOOL(hAPP(hAPP(X0,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X3,X5,X6,X1)))
| c_Hoare__Mirabelle_Ohoare__derivs(X3,c_Lattices_Oupper__semilattice__class_Osup(c_Collect(hAPP(c_COMBC(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),tc_Hoare__Mirabelle_Otriple(t_a),tc_Hoare__Mirabelle_Otriple(t_a),tc_bool),c_Hoare__Mirabelle_Otriple_Otriple(X5,X1,X6,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),t_a) ),
inference(forward_demodulation,[],[f1129,f365]) ).
fof(f1139,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,c_Collect(hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X1,X6,t_a)),tc_Hoare__Mirabelle_Otriple(t_a)),t_a)
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,t_a)),t_a)
| hBOOL(hAPP(hAPP(X2,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X5,X6,X1,X0,X2)))
| ~ hBOOL(hAPP(hAPP(X0,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X3,X5,X6,X1))) ),
inference(forward_demodulation,[],[f1134,f603]) ).
fof(f1144,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X0,X1,X2,t_a)),t_a)
| c_Hoare__Mirabelle_Ohoare__derivs(X3,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(X5,X1,X6,t_a)),t_a)
| hBOOL(hAPP(hAPP(X2,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(X3,X5,X6,X1,X0,X2)))
| ~ hBOOL(hAPP(hAPP(X0,X4),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(X3,X5,X6,X1))) ),
inference(forward_demodulation,[],[f1139,f365]) ).
fof(f1440,plain,
hBOOL(hAPP(hAPP(v_P,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c))),
inference(unit_resulting_resolution,[],[f637,f670]) ).
fof(f1481,plain,
c_Hoare__Mirabelle_Ohoare__derivs(v_Ga,hAPP(c_fequal(tc_Hoare__Mirabelle_Otriple(t_a)),c_Hoare__Mirabelle_Otriple_Otriple(v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_c,v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),t_a)),t_a),
inference(unit_resulting_resolution,[],[f855,f514,f1440]) ).
fof(f1494,plain,
~ hBOOL(hAPP(hAPP(v_Q,v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c)),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_Ga,v_P,v_Q,v_c,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c))))),
inference(unit_resulting_resolution,[],[f871,f857,f1481]) ).
fof(f2210,plain,
hBOOL(hAPP(hAPP(v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_sa(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_Ga,v_P,v_Q,v_c,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c))))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c))),
inference(unit_resulting_resolution,[],[f518,f1440,f1494]) ).
fof(f2211,plain,
~ hBOOL(hAPP(hAPP(v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_sa(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_Ga,v_P,v_Q,v_c,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c))))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_Ga,v_P,v_Q,v_c,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c))))),
inference(unit_resulting_resolution,[],[f519,f1440,f1494]) ).
fof(f2212,plain,
hBOOL(hAPP(hAPP(v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_sa(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_Ga,v_P,v_Q,v_c,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c))))),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__3(v_Ga,v_P,v_Q,v_c,v_Z(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c)),v_s(v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__1(v_Ga,v_P,v_Q,v_c),v_sko__Hoare__Mirabelle__Xhoare__derivs__Xintros__6__2(v_Ga,v_P,v_Q,v_c))))),
inference(unit_resulting_resolution,[],[f1144,f857,f1481,f2210]) ).
fof(f2217,plain,
$false,
inference(forward_subsumption_resolution,[],[f2212,f2211]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV838-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n002.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:44:22 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 5.14/1.47 % (327597)Input is clausal, will run a generic CNF schedule.
% 5.14/1.47 % (327603)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4053594628:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.14/1.47 % (327608)dis-21_1_sil=8000:lcm=predicate:random_seed=4075142738: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)
% 5.14/1.47 % (327602)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=205312637:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.14/1.47 % (327604)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1240778513:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.14/1.47 % (327606)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1786436900:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.14/1.47 % (327605)lrs+10_1_sil=8000:sp=occurrence:random_seed=2066078893:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.14/1.47 % (327607)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=242711589:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.14/1.47 % (327606)Instruction limit reached!
% 5.14/1.47 % (327606)------------------------------
% 5.14/1.47 % (327606)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327606)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327606)Termination reason: Instruction limit
% 5.14/1.47 % (327606)Termination phase: Saturation
% 5.14/1.47 % (327606)Time elapsed: 0.047 s
% 5.14/1.47 % (327606)Peak memory usage: 88 MB
% 5.14/1.47 % (327606)Instructions burned: 114 (million)
% 5.14/1.47 % (327608)Instruction limit reached!
% 5.14/1.47 % (327608)------------------------------
% 5.14/1.47 % (327608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327608)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327608)Termination reason: Instruction limit
% 5.14/1.47 % (327608)Termination phase: Saturation
% 5.14/1.47 % (327608)Time elapsed: 0.054 s
% 5.14/1.47 % (327608)Peak memory usage: 88 MB
% 5.14/1.47 % (327608)Instructions burned: 119 (million)
% 5.14/1.47 % (327605)Instruction limit reached!
% 5.14/1.47 % (327605)------------------------------
% 5.14/1.47 % (327605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327605)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327605)Termination reason: Instruction limit
% 5.14/1.47 % (327605)Termination phase: Saturation
% 5.14/1.47 % (327605)Time elapsed: 0.077 s
% 5.14/1.47 % (327605)Peak memory usage: 90 MB
% 5.14/1.47 % (327605)Instructions burned: 107 (million)
% 5.14/1.47 % (327607)Instruction limit reached!
% 5.14/1.47 % (327607)------------------------------
% 5.14/1.47 % (327607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327607)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327607)Termination reason: Instruction limit
% 5.14/1.47 % (327607)Termination phase: Saturation
% 5.14/1.47 % (327607)Time elapsed: 0.119 s
% 5.14/1.47 % (327607)Peak memory usage: 90 MB
% 5.14/1.47 % (327607)Instructions burned: 181 (million)
% 5.14/1.47 % (327617)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4290803980: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)
% 5.14/1.47 % (327616)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=384347638:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.14/1.47 % (327618)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2087629218:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.14/1.47 % (327619)lrs+10_64_to=lpo:sil=8000:random_seed=737607017:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.14/1.47 % (327616)Instruction limit reached!
% 5.14/1.47 % (327616)------------------------------
% 5.14/1.47 % (327616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327616)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327616)Termination reason: Instruction limit
% 5.14/1.47 % (327616)Termination phase: Saturation
% 5.14/1.47 % (327616)Time elapsed: 0.083 s
% 5.14/1.47 % (327616)Peak memory usage: 88 MB
% 5.14/1.47 % (327616)Instructions burned: 143 (million)
% 5.14/1.47 % (327617)Instruction limit reached!
% 5.14/1.47 % (327617)------------------------------
% 5.14/1.47 % (327617)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327617)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327617)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327617)Termination reason: Instruction limit
% 5.14/1.47 % (327617)Termination phase: Saturation
% 5.14/1.47 % (327617)Time elapsed: 0.104 s
% 5.14/1.47 % (327617)Peak memory usage: 90 MB
% 5.14/1.47 % (327617)Instructions burned: 190 (million)
% 5.14/1.47 % (327619)Instruction limit reached!
% 5.14/1.47 % (327619)------------------------------
% 5.14/1.47 % (327619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327619)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327619)Termination reason: Instruction limit
% 5.14/1.47 % (327619)Termination phase: Saturation
% 5.14/1.47 % (327619)Time elapsed: 0.077 s
% 5.14/1.47 % (327619)Peak memory usage: 89 MB
% 5.14/1.47 % (327619)Instructions burned: 127 (million)
% 5.14/1.47 % (327618)Instruction limit reached!
% 5.14/1.47 % (327618)------------------------------
% 5.14/1.47 % (327618)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327618)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327618)Termination reason: Instruction limit
% 5.14/1.47 % (327618)Termination phase: Saturation
% 5.14/1.47 % (327618)Time elapsed: 0.134 s
% 5.14/1.47 % (327618)Peak memory usage: 90 MB
% 5.14/1.47 % (327618)Instructions burned: 220 (million)
% 5.14/1.47 % (327624)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2509749186:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.14/1.47 % (327625)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2539136398:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.14/1.47 % (327626)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3165559418:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.14/1.47 % (327624)Instruction limit reached!
% 5.14/1.47 % (327624)------------------------------
% 5.14/1.47 % (327624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327624)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327624)Termination reason: Instruction limit
% 5.14/1.47 % (327624)Termination phase: Saturation
% 5.14/1.47 % (327624)Time elapsed: 0.092 s
% 5.14/1.47 % (327624)Peak memory usage: 89 MB
% 5.14/1.47 % (327624)Instructions burned: 196 (million)
% 5.14/1.47 % (327603)First to succeed.
% 5.14/1.47 % (327603)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-327597"
% 5.14/1.47 % (327627)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=3744031853:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 5.14/1.47 % (327625)Instruction limit reached!
% 5.14/1.47 % (327625)------------------------------
% 5.14/1.47 % (327625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327625)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327625)Termination reason: Instruction limit
% 5.14/1.47 % (327625)Termination phase: Saturation
% 5.14/1.47 % (327625)Time elapsed: 0.101 s
% 5.14/1.47 % (327625)Peak memory usage: 91 MB
% 5.14/1.47 % (327625)Instructions burned: 157 (million)
% 5.14/1.47 % (327627)Instruction limit reached!
% 5.14/1.47 % (327627)------------------------------
% 5.14/1.47 % (327627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.14/1.47 % (327627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.14/1.47 % (327627)CaDiCaL version: 2.1.3
% 5.14/1.47 % (327627)Termination reason: Instruction limit
% 5.14/1.47 % (327627)Termination phase: Saturation
% 5.14/1.47 % (327627)Time elapsed: 0.057 s
% 5.14/1.47 % (327627)Peak memory usage: 89 MB
% 5.14/1.47 % (327627)Instructions burned: 107 (million)
% 5.14/1.47 % (327631)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3768456385:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 5.14/1.47 % (327603)Refutation found. Thanks to Tanya!
% 5.14/1.47 % SZS status Unsatisfiable for theBenchmark
% 5.14/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 6.09/1.56 % (327603)------------------------------
% 6.09/1.56 % (327603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.09/1.56 % (327603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.09/1.56 % (327603)CaDiCaL version: 2.1.3
% 6.09/1.56 % (327603)Termination reason: Refutation
% 6.09/1.56 % (327603)Time elapsed: 0.519 s
% 6.09/1.56 % (327603)Peak memory usage: 135 MB
% 6.09/1.56 % (327603)Instructions burned: 1386 (million)
% 6.09/1.56 % (327603)------------------------------
% 6.09/1.56 % (327603)------------------------------
% 6.09/1.56 % (327597)Success in time 0.806 s
% 6.09/1.56 % Vampire exiting
%------------------------------------------------------------------------------