TSTP Solution File: SWW360+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% 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 : n004.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 : Wed May 31 12:44:47 EDT 2023
% Result : Theorem 16.88s 3.03s
% Output : CNFRefutation 17.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 13 unt; 0 def)
% Number of atoms : 45 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 13 ~; 9 |; 2 &)
% ( 0 <=>; 5 =>; 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 : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 67 (; 66 !; 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(f15,axiom,
! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))),V_A_2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [V_a_2,V_D_2,V_C_2,T_b] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [V_A_2,V_x_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_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(f5263,plain,
! [X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_HOL_Obool))),X1)),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f5292,plain,
! [V_a_2,V_D_2,V_C_2,T_b] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ),
inference(pre_NNF_transformation,[status(esa)],[f25]) ).
fof(f5293,plain,
! [V_D_2,V_C_2,T_b] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
| ! [V_a_2] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_a_2),V_D_2))) ),
inference(miniscoping,[status(esa)],[f5292]) ).
fof(f5294,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),X1),X2))
| hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X0,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X0),X3),X1)),hAPP(hAPP(c_Set_Oinsert(X0),X3),X2))) ),
inference(cnf_transformation,[status(esa)],[f5293]) ).
fof(f5325,plain,
! [X0,X1,X2] : hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)) = hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),
inference(cnf_transformation,[status(esa)],[f36]) ).
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(f20583,plain,
hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),sk0_569),v_U) = v_U,
inference(resolution,[status(thm)],[f5638,f20153]) ).
fof(f21880,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X0),X1))
| v_P(hAPP(hAPP(c_Set_Oinsert(t_a),X2),X1),hAPP(hAPP(c_Set_Oinsert(t_a),X2),X0)) ),
inference(resolution,[status(thm)],[f5294,f5245]) ).
fof(f22383,plain,
! [X0,X1,X2] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X0),hAPP(hAPP(c_Set_Oinsert(t_a),X1),X2)))
| v_P(hAPP(hAPP(c_Set_Oinsert(t_a),X1),X2),hAPP(hAPP(c_Set_Oinsert(t_a),X1),X0)) ),
inference(paramodulation,[status(thm)],[f5325,f21880]) ).
fof(f22391,plain,
! [X0,X1] : v_P(hAPP(hAPP(c_Set_Oinsert(t_a),X0),X1),hAPP(hAPP(c_Set_Oinsert(t_a),X0),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(resolution,[status(thm)],[f22383,f5263]) ).
fof(f22405,plain,
! [X0,X1,X2,X3] : v_P(hAPP(c_Set_Oimage(X0,t_a,X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),X3)),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(X1,X2)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(paramodulation,[status(thm)],[f5243,f22391]) ).
fof(f22415,plain,
! [X0] : v_P(hAPP(c_Set_Oimage(tc_Com_Opname,t_a,X0),v_U),hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(X0,sk0_569)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(paramodulation,[status(thm)],[f20583,f22405]) ).
fof(f22439,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f20154,f22415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWW360+1 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n004.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:50:07 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.65/0.86 % Drodi V3.5.1
% 16.88/3.03 % Refutation found
% 16.88/3.03 % SZS status Theorem for theBenchmark: Theorem is valid
% 16.88/3.03 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 18.05/3.18 % Elapsed time: 2.850007 seconds
% 18.05/3.18 % CPU time: 17.684438 seconds
% 18.05/3.18 % Memory used: 709.035 MB
%------------------------------------------------------------------------------