TSTP Solution File: SWW364+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWW364+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:44:48 EDT 2023
% Result : Theorem 3.97s 1.27s
% Output : CNFRefutation 4.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 49 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 16 |; 0 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,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/sandbox/benchmark/theBenchmark.p') ).
fof(f7,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/sandbox/benchmark/theBenchmark.p') ).
fof(f37,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/sandbox/benchmark/theBenchmark.p') ).
fof(f60,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/sandbox/benchmark/theBenchmark.p') ).
fof(f5230,hypothesis,
hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5231,conjecture,
v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5232,negated_conjecture,
~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(negated_conjecture,[status(cth)],[f5231]) ).
fof(f5236,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)],[f2]) ).
fof(f5237,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)],[f5236]) ).
fof(f5253,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)],[f7]) ).
fof(f5342,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)],[f37]) ).
fof(f5343,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)],[f5342]) ).
fof(f5415,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)],[f60]) ).
fof(f5416,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)],[f5415]) ).
fof(f5417,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)],[f5416]) ).
fof(f20153,plain,
hBOOL(hAPP(hAPP(c_member(t_a),hAPP(v_mgt__call,v_pn)),v_G)),
inference(cnf_transformation,[status(esa)],[f5230]) ).
fof(f20154,plain,
~ v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool)))),
inference(cnf_transformation,[status(esa)],[f5232]) ).
fof(f20937,plain,
hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G) = v_G,
inference(resolution,[status(thm)],[f5343,f20153]) ).
fof(f22142,plain,
( spl0_28
<=> hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G) = v_G ),
introduced(split_symbol_definition) ).
fof(f22143,plain,
( hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G) = v_G
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f22142]) ).
fof(f22144,plain,
( hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),v_G) != v_G
| spl0_28 ),
inference(component_clause,[status(thm)],[f22142]) ).
fof(f22451,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X0),v_G))
| 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,v_pn)),X0)),v_G))
| ~ spl0_28 ),
inference(paramodulation,[status(thm)],[f22143,f5417]) ).
fof(f22487,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),X0),v_G))
| v_P(v_G,hAPP(hAPP(c_Set_Oinsert(t_a),hAPP(v_mgt__call,v_pn)),X0))
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f22451,f5237]) ).
fof(f22911,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f20937,f22144]) ).
fof(f22912,plain,
spl0_28,
inference(contradiction_clause,[status(thm)],[f22911]) ).
fof(f23185,plain,
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(t_a,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(t_a,tc_HOL_Obool))),v_G))
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f22487,f20154]) ).
fof(f23186,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f23185,f5253]) ).
fof(f23187,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f23186]) ).
fof(f23188,plain,
$false,
inference(sat_refutation,[status(thm)],[f22912,f23187]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW364+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:57:41 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.60/0.78 % Drodi V3.5.1
% 3.97/1.27 % Refutation found
% 3.97/1.27 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.97/1.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.84/1.40 % Elapsed time: 1.042527 seconds
% 4.84/1.40 % CPU time: 4.434142 seconds
% 4.84/1.40 % Memory used: 616.923 MB
%------------------------------------------------------------------------------