TSTP Solution File: SWW360+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWW360+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:50:07 EDT 2024
% Result : Theorem 28.30s 4.17s
% Output : CNFRefutation 28.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 37 ( 17 unt; 0 def)
% Number of atoms : 65 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 26 ~; 16 |; 6 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 77 ( 76 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [V_B_2,V_a_2,V_f_2,T_b,T_c] : hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_c),V_a_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_a_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [V_G_2,V_ts_2] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))
=> v_P(V_G_2,V_ts_2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [V_A_2,V_x_2,T_b] :
( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
<=> hBOOL(hAPP(V_A_2,V_x_2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f118,axiom,
! [V_B_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_B_2) = V_B_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f121,axiom,
! [V_C_2,V_B_2,V_a_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f125,axiom,
! [V_B_2,V_A_2,T_b] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
<=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f135,axiom,
! [V_A_2,V_a_2,T_b] :
( hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
=> hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5226,conjecture,
! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
=> v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5227,negated_conjecture,
~ ! [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
=> v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
inference(negated_conjecture,[status(cth)],[f5226]) ).
fof(f5243,plain,
! [X0,X1,X2,X3,X4] : hAPP(c_Set_Oimage(X0,X1,X2),hAPP(hAPP(c_Set_Oinsert(X0),X3),X4)) = hAPP(hAPP(c_Set_Oinsert(X1),hAPP(X2,X3)),hAPP(c_Set_Oimage(X0,X1,X2),X4)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f5244,plain,
! [V_G_2,V_ts_2] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),V_ts_2),V_G_2))
| v_P(V_G_2,V_ts_2) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f5245,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X0),X1))
| v_P(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f5244]) ).
fof(f5562,plain,
! [V_A_2,V_x_2,T_b] :
( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
| hBOOL(hAPP(V_A_2,V_x_2)) )
& ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
| ~ hBOOL(hAPP(V_A_2,V_x_2)) ) ),
inference(NNF_transformation,[status(esa)],[f106]) ).
fof(f5563,plain,
( ! [V_A_2,V_x_2] :
( ! [T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
| hBOOL(hAPP(V_A_2,V_x_2)) )
& ! [V_A_2,V_x_2] :
( ! [T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
| ~ hBOOL(hAPP(V_A_2,V_x_2)) ) ),
inference(miniscoping,[status(esa)],[f5562]) ).
fof(f5564,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| hBOOL(hAPP(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f5563]) ).
fof(f5565,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| ~ hBOOL(hAPP(X2,X1)) ),
inference(cnf_transformation,[status(esa)],[f5563]) ).
fof(f5595,plain,
! [X0,X1] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),X1) = X1,
inference(cnf_transformation,[status(esa)],[f118]) ).
fof(f5604,plain,
! [X0,X1,X2,X3] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)),X3) = hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),X2),X3)),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f5608,plain,
! [V_B_2,V_A_2,T_b] :
( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 )
& ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != V_B_2 ) ),
inference(NNF_transformation,[status(esa)],[f125]) ).
fof(f5609,plain,
( ! [V_B_2,V_A_2,T_b] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 )
& ! [V_B_2,V_A_2,T_b] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != V_B_2 ) ),
inference(miniscoping,[status(esa)],[f5608]) ).
fof(f5611,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X2))
| hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X0,tc_HOL_Obool)),X1),X2) != X2 ),
inference(cnf_transformation,[status(esa)],[f5609]) ).
fof(f5637,plain,
! [V_A_2,V_a_2,T_b] :
( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_a_2),V_A_2))
| hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_A_2) = V_A_2 ),
inference(pre_NNF_transformation,[status(esa)],[f135]) ).
fof(f5638,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_member(X0),X1),X2))
| hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) = X2 ),
inference(cnf_transformation,[status(esa)],[f5637]) ).
fof(f20151,plain,
? [B_x] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),B_x),v_U))
& ~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,B_x)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
inference(pre_NNF_transformation,[status(esa)],[f5227]) ).
fof(f20152,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sk0_569),v_U))
& ~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sk0_569)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))) ),
inference(skolemization,[status(esa)],[f20151]) ).
fof(f20153,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sk0_569),v_U)),
inference(cnf_transformation,[status(esa)],[f20152]) ).
fof(f20154,plain,
~ v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sk0_569)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(cnf_transformation,[status(esa)],[f20152]) ).
fof(f20938,plain,
hBOOL(hAPP(v_U,sk0_569)),
inference(resolution,[status(thm)],[f5564,f20153]) ).
fof(f20959,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) = X2
| ~ hBOOL(hAPP(X2,X1)) ),
inference(resolution,[status(thm)],[f5638,f5565]) ).
fof(f21490,plain,
! [X0] : hAPP(hAPP(c_Set_Oinsert(X0),sk0_569),v_U) = v_U,
inference(resolution,[status(thm)],[f20959,f20938]) ).
fof(f32093,plain,
~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sk0_569)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))),
inference(resolution,[status(thm)],[f20154,f5245]) ).
fof(f32669,plain,
hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(t_a,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sk0_569)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)) != hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),
inference(resolution,[status(thm)],[f32093,f5611]) ).
fof(f32670,plain,
hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sk0_569)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(t_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U))) != hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),
inference(forward_demodulation,[status(thm)],[f5604,f32669]) ).
fof(f32671,plain,
hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,sk0_569)),hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U)) != hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),
inference(forward_demodulation,[status(thm)],[f5595,f32670]) ).
fof(f32672,plain,
hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),sk0_569),v_U)) != hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),
inference(forward_demodulation,[status(thm)],[f5243,f32671]) ).
fof(f32673,plain,
hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U) != hAPP(c_Set_Oimage(tc_Com_Opname,t_a,v_mgt__call),v_U),
inference(forward_demodulation,[status(thm)],[f21490,f32672]) ).
fof(f32674,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f32673]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWW360+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n010.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 22:53:05 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.37/0.60 % Drodi V3.6.0
% 28.30/4.17 % Refutation found
% 28.30/4.17 % SZS status Theorem for theBenchmark: Theorem is valid
% 28.30/4.17 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.37/4.36 % Elapsed time: 4.085459 seconds
% 29.37/4.36 % CPU time: 29.323278 seconds
% 29.37/4.36 % Total memory used: 1.106 GB
% 29.37/4.36 % Net memory used: 1.099 GB
%------------------------------------------------------------------------------