TSTP Solution File: SWV902-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV902-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 20:49:31 EDT 2024
% Result : Unsatisfiable 41.83s 5.67s
% Output : CNFRefutation 42.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 26 unt; 0 def)
% Number of atoms : 42 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 12 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-5 aty)
% Number of variables : 107 ( 107 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f556,axiom,
! [V_x,T_a] : c_Option_Oset(c_Option_Ooption_OSome(V_x,T_a),T_a) = c_Set_Oinsert(V_x,c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f577,axiom,
! [V_a,V_C,T_a,V_D] :
( c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f603,axiom,
! [V_f,V_g,V_A,T_c,T_b,T_a] : c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f606,axiom,
! [V_f,V_a,V_B,T_b,T_a] : c_Set_Oimage(V_f,c_Set_Oinsert(V_a,V_B,T_b),T_b,T_a) = c_Set_Oinsert(hAPP(V_f,V_a),c_Set_Oimage(V_f,V_B,T_b,T_a),T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f636,axiom,
! [V_x,V_A,T_a] : c_Set_Oinsert(V_x,c_Set_Oinsert(V_x,V_A,T_a),T_a) = c_Set_Oinsert(V_x,V_A,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f639,axiom,
! [T_a,V_A] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(T_a,tc_bool)),V_A,tc_fun(T_a,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f664,axiom,
! [V_f,V_x,V_A,T_a,T_b] :
( c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
| ~ hBOOL(c_in(V_x,V_A,T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f670,axiom,
! [V_G,V_ts,T_a] :
( c_Hoare__Mirabelle_Ohoare__derivs(V_G,V_ts,T_a)
| ~ c_lessequals(V_ts,V_G,tc_fun(tc_Hoare__Mirabelle_Otriple(T_a),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f686,negated_conjecture,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f687,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1603,plain,
! [X0,X1] : c_Option_Oset(c_Option_Ooption_OSome(X0,X1),X1) = c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),
inference(cnf_transformation,[status(esa)],[f556]) ).
fof(f1632,plain,
! [V_C,T_a,V_D] :
( ! [V_a] : c_lessequals(c_Set_Oinsert(V_a,V_C,T_a),c_Set_Oinsert(V_a,V_D,T_a),tc_fun(T_a,tc_bool))
| ~ c_lessequals(V_C,V_D,tc_fun(T_a,tc_bool)) ),
inference(miniscoping,[status(esa)],[f577]) ).
fof(f1633,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_Set_Oinsert(X0,X1,X2),c_Set_Oinsert(X0,X3,X2),tc_fun(X2,tc_bool))
| ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f1632]) ).
fof(f1677,plain,
! [X0,X1,X2,X3,X4,X5] : c_Set_Oimage(X0,c_Set_Oimage(X1,X2,X3,X4),X4,X5) = c_Set_Oimage(c_COMBB(X0,X1,X4,X5,X3),X2,X3,X5),
inference(cnf_transformation,[status(esa)],[f603]) ).
fof(f1681,plain,
! [X0,X1,X2,X3,X4] : c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4) = c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4),
inference(cnf_transformation,[status(esa)],[f606]) ).
fof(f1723,plain,
! [X0,X1,X2] : c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X2) = c_Set_Oinsert(X0,X1,X2),
inference(cnf_transformation,[status(esa)],[f636]) ).
fof(f1727,plain,
! [X0,X1] : c_lessequals(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1,tc_fun(X0,tc_bool)),
inference(cnf_transformation,[status(esa)],[f639]) ).
fof(f1766,plain,
! [V_x,V_A,T_a] :
( ! [V_f,T_b] : c_Set_Oinsert(hAPP(V_f,V_x),c_Set_Oimage(V_f,V_A,T_a,T_b),T_b) = c_Set_Oimage(V_f,V_A,T_a,T_b)
| ~ hBOOL(c_in(V_x,V_A,T_a)) ),
inference(miniscoping,[status(esa)],[f664]) ).
fof(f1767,plain,
! [X0,X1,X2,X3,X4] :
( c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4) = c_Set_Oimage(X0,X2,X3,X4)
| ~ hBOOL(c_in(X1,X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f1766]) ).
fof(f1777,plain,
! [X0,X1,X2] :
( c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
| ~ c_lessequals(X1,X0,tc_fun(tc_Hoare__Mirabelle_Otriple(X2),tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f670]) ).
fof(f1799,plain,
hBOOL(c_in(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname)),
inference(cnf_transformation,[status(esa)],[f686]) ).
fof(f1800,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Set_Oinsert(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_x)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_bool)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(cnf_transformation,[status(esa)],[f687]) ).
fof(f2031,plain,
! [X0,X1,X2,X3,X4] : c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4) = c_Set_Oinsert(hAPP(X0,X1),c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,X4),X4),
inference(paramodulation,[status(thm)],[f1723,f1681]) ).
fof(f2080,plain,
! [X0,X1,X2] : c_lessequals(c_Set_Oinsert(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1),c_Set_Oinsert(X0,X2,X1),tc_fun(X1,tc_bool)),
inference(resolution,[status(thm)],[f1633,f1727]) ).
fof(f2101,plain,
! [X0,X1,X2,X3,X4] : c_lessequals(c_Set_Oinsert(hAPP(X0,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X2),c_Set_Oimage(X0,c_Set_Oinsert(X1,X3,X4),X4,X2),tc_fun(X2,tc_bool)),
inference(paramodulation,[status(thm)],[f1681,f2080]) ).
fof(f2139,plain,
! [X0,X1] : c_Set_Oinsert(hAPP(X0,v_x),c_Set_Oimage(X0,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,X1),X1) = c_Set_Oimage(X0,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,X1),
inference(resolution,[status(thm)],[f1767,f1799]) ).
fof(f2140,plain,
! [X0,X1] : c_Set_Oimage(X0,c_Set_Oinsert(v_x,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),tc_Com_Opname,X1) = c_Set_Oimage(X0,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,X1),
inference(forward_demodulation,[status(thm)],[f1681,f2139]) ).
fof(f2377,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_Com_Ocom_OBODY,tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_x)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(backward_demodulation,[status(thm)],[f1603,f1800]) ).
fof(f3914,plain,
! [X0,X1,X2,X3,X4] : c_lessequals(c_Option_Oset(c_Option_Ooption_OSome(hAPP(X0,X1),X2),X2),c_Set_Oimage(X0,c_Set_Oinsert(X1,X3,X4),X4,X2),tc_fun(X2,tc_bool)),
inference(forward_demodulation,[status(thm)],[f1603,f2101]) ).
fof(f3917,plain,
! [X0,X1,X2,X3,X4] : c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(X0,c_Set_Oinsert(X1,X2,X3),X3,tc_Hoare__Mirabelle_Otriple(X4)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(X0,X1),tc_Hoare__Mirabelle_Otriple(X4)),tc_Hoare__Mirabelle_Otriple(X4)),X4),
inference(resolution,[status(thm)],[f3914,f1777]) ).
fof(f3961,plain,
! [X0,X1,X2,X3,X4,X5,X6] : c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(X0,c_Set_Oimage(X1,c_Set_Oinsert(X2,X3,X4),X4,X5),X5,tc_Hoare__Mirabelle_Otriple(X6)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(X0,hAPP(X1,X2)),tc_Hoare__Mirabelle_Otriple(X6)),tc_Hoare__Mirabelle_Otriple(X6)),X6),
inference(paramodulation,[status(thm)],[f2031,f3917]) ).
fof(f9318,plain,
! [X0,X1,X2,X3] : c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(X0,c_Set_Oimage(X1,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,X2),X2,tc_Hoare__Mirabelle_Otriple(X3)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(X0,hAPP(X1,v_x)),tc_Hoare__Mirabelle_Otriple(X3)),tc_Hoare__Mirabelle_Otriple(X3)),X3),
inference(paramodulation,[status(thm)],[f2140,f3961]) ).
fof(f14557,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(c_Set_Oimage(c_Hoare__Mirabelle_OMGT,c_Set_Oimage(c_Com_Ocom_OBODY,c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Com_Ocom),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Option_Oset(c_Option_Ooption_OSome(hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,v_x)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Com_Ostate),
inference(paramodulation,[status(thm)],[f1677,f2377]) ).
fof(f14558,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f14557,f9318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SWV902-1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 01:11:13 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.36 % Drodi V3.6.0
% 41.83/5.67 % Refutation found
% 41.83/5.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 41.83/5.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 42.32/5.81 % Elapsed time: 5.479055 seconds
% 42.32/5.81 % CPU time: 42.468031 seconds
% 42.32/5.81 % Total memory used: 543.302 MB
% 42.32/5.81 % Net memory used: 532.895 MB
%------------------------------------------------------------------------------