TSTP Solution File: SWV730-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV730-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.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 20:49:13 EDT 2024
% Result : Unsatisfiable 103.02s 13.40s
% Output : CNFRefutation 104.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 38 ( 16 unt; 0 def)
% Number of atoms : 68 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 28 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 111 ( 111 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [V_P,V_keymode] :
( hBOOL(hAPP(V_P,V_keymode))
| ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [T_a,V_x] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f367,axiom,
! [V_xs,V_x,T_a] : V_xs != c_List_Olist_OCons(V_x,V_xs,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f373,axiom,
! [V_a_H,V_list_H,T_a] : c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil(T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f377,axiom,
! [V_y,V_A,T_a,V_x] :
( hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
| ~ hBOOL(hAPP(V_A,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f398,axiom,
! [V_A,V_x,V_y,T_a] :
( hBOOL(hAPP(V_A,V_x))
| V_y = V_x
| ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f415,axiom,
! [V_x,V_A,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_x,V_A,T_a),V_x)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f519,axiom,
! [V_x,V_S,T_a] :
( hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f520,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ hBOOL(c_in(V_x,V_S,T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f594,plain,
! [V_P] :
( ! [V_keymode] : hBOOL(hAPP(V_P,V_keymode))
| ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(V_P,c_Public_Okeymode_OSignature)) ),
inference(miniscoping,[status(esa)],[f25]) ).
fof(f595,plain,
! [X0,X1] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OEncryption))
| ~ hBOOL(hAPP(X0,c_Public_Okeymode_OSignature)) ),
inference(cnf_transformation,[status(esa)],[f594]) ).
fof(f607,plain,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f1074,plain,
! [X0,X1,X2] : X0 != c_List_Olist_OCons(X1,X0,X2),
inference(cnf_transformation,[status(esa)],[f367]) ).
fof(f1080,plain,
! [X0,X1,X2] : c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2),
inference(cnf_transformation,[status(esa)],[f373]) ).
fof(f1085,plain,
! [V_A,V_x] :
( ! [V_y,T_a] : hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x))
| ~ hBOOL(hAPP(V_A,V_x)) ),
inference(miniscoping,[status(esa)],[f377]) ).
fof(f1086,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X3))
| ~ hBOOL(hAPP(X1,X3)) ),
inference(cnf_transformation,[status(esa)],[f1085]) ).
fof(f1112,plain,
! [V_A,V_x,V_y] :
( hBOOL(hAPP(V_A,V_x))
| V_y = V_x
| ! [T_a] : ~ hBOOL(hAPP(c_Set_Oinsert(V_y,V_A,T_a),V_x)) ),
inference(miniscoping,[status(esa)],[f398]) ).
fof(f1113,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(X0,X1))
| X2 = X1
| ~ hBOOL(hAPP(c_Set_Oinsert(X2,X0,X3),X1)) ),
inference(cnf_transformation,[status(esa)],[f1112]) ).
fof(f1134,plain,
! [X0,X1,X2] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X2),X0)),
inference(cnf_transformation,[status(esa)],[f415]) ).
fof(f1280,plain,
! [V_x,V_S] :
( ! [T_a] : hBOOL(c_in(V_x,V_S,T_a))
| ~ hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(esa)],[f519]) ).
fof(f1281,plain,
! [X0,X1,X2] :
( hBOOL(c_in(X0,X1,X2))
| ~ hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1280]) ).
fof(f1282,plain,
! [V_S,V_x] :
( hBOOL(hAPP(V_S,V_x))
| ! [T_a] : ~ hBOOL(c_in(V_x,V_S,T_a)) ),
inference(miniscoping,[status(esa)],[f520]) ).
fof(f1283,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ hBOOL(c_in(X1,X0,X2)) ),
inference(cnf_transformation,[status(esa)],[f1282]) ).
fof(f5615,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2))
| ~ hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),c_Public_Okeymode_OSignature)) ),
inference(resolution,[status(thm)],[f595,f1134]) ).
fof(f14758,plain,
! [X0,X1,X2,X3,X4] :
( ~ hBOOL(hAPP(X0,X1))
| hBOOL(c_in(X1,c_Set_Oinsert(X2,X0,X3),X4)) ),
inference(resolution,[status(thm)],[f1086,f1281]) ).
fof(f17387,plain,
! [X0,X1,X2,X3,X4,X5] : hBOOL(c_in(X0,c_Set_Oinsert(X1,c_Set_Oinsert(X0,X2,X3),X4),X5)),
inference(resolution,[status(thm)],[f14758,f1134]) ).
fof(f17549,plain,
! [X0,X1,X2,X3,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
inference(resolution,[status(thm)],[f17387,f1283]) ).
fof(f121459,plain,
! [X0,X1,X2,X3] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)),
inference(resolution,[status(thm)],[f5615,f17549]) ).
fof(f122425,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2))
| c_Public_Okeymode_OEncryption = X2 ),
inference(resolution,[status(thm)],[f121459,f1113]) ).
fof(f122464,plain,
! [X0,X1] :
( c_Public_Okeymode_OEncryption = X0
| hBOOL(hAPP(X1,X0))
| c_Public_Okeymode_OSignature = X0 ),
inference(resolution,[status(thm)],[f122425,f1113]) ).
fof(f122572,plain,
! [X0] :
( c_Public_Okeymode_OEncryption = X0
| c_Public_Okeymode_OSignature = X0 ),
inference(resolution,[status(thm)],[f122464,f607]) ).
fof(f122641,plain,
! [X0,X1] : c_Public_Okeymode_OSignature = c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1),
inference(resolution,[status(thm)],[f122572,f1074]) ).
fof(f122648,plain,
! [X0,X1] :
( X0 = X1
| c_Public_Okeymode_OSignature = X1
| c_Public_Okeymode_OSignature = X0 ),
inference(paramodulation,[status(thm)],[f122572,f122572]) ).
fof(f122751,plain,
! [X0] : c_Public_Okeymode_OSignature != c_List_Olist_ONil(X0),
inference(paramodulation,[status(thm)],[f122641,f1080]) ).
fof(f123048,plain,
! [X0,X1,X2] :
( c_Public_Okeymode_OSignature = c_List_Olist_ONil(X0)
| c_Public_Okeymode_OSignature = c_List_Olist_OCons(X1,X2,X0) ),
inference(resolution,[status(thm)],[f122648,f1080]) ).
fof(f123049,plain,
! [X0,X1,X2] : c_Public_Okeymode_OSignature = c_List_Olist_OCons(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[f123048,f122751]) ).
fof(f123603,plain,
! [X0] : X0 != c_Public_Okeymode_OSignature,
inference(backward_demodulation,[status(thm)],[f123049,f1074]) ).
fof(f123604,plain,
$false,
inference(destructive_equality_resolution,[status(esa)],[f123603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWV730-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.36 % Computer : n022.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Tue Apr 30 00:34:43 EDT 2024
% 0.19/0.36 % CPUTime :
% 0.19/0.40 % Drodi V3.6.0
% 103.02/13.40 % Refutation found
% 103.02/13.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 103.02/13.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 106.96/14.65 % Elapsed time: 14.071312 seconds
% 106.96/14.65 % CPU time: 101.574730 seconds
% 106.96/14.65 % Total memory used: 1.525 GB
% 106.96/14.65 % Net memory used: 1.495 GB
%------------------------------------------------------------------------------