TSTP Solution File: SET830-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SET830-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:35:17 EDT 2023
% Result : Unsatisfiable 0.10s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 34 ~; 38 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 81 (; 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [V_c,V_A,V_B,T_a] :
( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [V_c,V_A,V_B,T_a] :
( ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)
| c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [V_c,V_B,T_a,V_A] :
( ~ c_in(V_c,V_B,T_a)
| ~ c_in(V_c,V_A,T_a)
| c_in(V_c,c_inter(V_A,V_B,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [V_c,V_A,T_a,V_B] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(V_c,V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_A,V_B,T_a] :
( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [V_A,V_B,T_a] :
( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
| c_lessequals(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [V_U] :
( c_lessequals(V_U,v_X,tc_set(t_a))
| ~ c_lessequals(V_U,v_Z,tc_set(t_a))
| ~ c_lessequals(V_U,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [V_c,V_B,T_a] :
( ! [V_A] : ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)
| c_in(V_c,V_B,T_a) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f13,plain,
! [V_c,V_A,T_a] :
( ! [V_B] : ~ c_in(V_c,c_inter(V_A,V_B,T_a),T_a)
| c_in(V_c,V_A,T_a) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X1,X3) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| ~ c_in(X0,X3,X2)
| c_in(X0,c_inter(X3,X1,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
! [V_c,T_a,V_B] :
( ! [V_A] :
( ~ c_in(V_c,V_A,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a)) )
| c_in(V_c,V_B,T_a) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ~ c_in(X0,X1,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| c_in(X0,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f18,plain,
! [X0,X1,X2] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f20,plain,
c_in(v_x,v_Y,t_a),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f21,plain,
c_in(v_x,v_Z,t_a),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f22,plain,
~ c_in(v_x,v_X,t_a),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f23,plain,
! [X0] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_lessequals(X0,v_Z,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a)) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2) ),
inference(resolution,[status(thm)],[f18,f14]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2))
| c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2) ),
inference(resolution,[status(thm)],[f18,f12]) ).
fof(f37,plain,
! [X0,X1,X2] :
( c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)) ),
inference(resolution,[status(thm)],[f24,f19]) ).
fof(f38,plain,
! [X0,X1,X2] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
inference(duplicate_literals_removal,[status(esa)],[f37]) ).
fof(f41,plain,
! [X0] :
( c_lessequals(c_inter(v_Z,X0,t_a),v_X,tc_set(t_a))
| ~ c_lessequals(c_inter(v_Z,X0,t_a),v_Y,tc_set(t_a)) ),
inference(resolution,[status(thm)],[f38,f23]) ).
fof(f43,plain,
! [X0,X1,X2] :
( c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)) ),
inference(resolution,[status(thm)],[f25,f19]) ).
fof(f44,plain,
! [X0,X1,X2] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
inference(duplicate_literals_removal,[status(esa)],[f43]) ).
fof(f47,plain,
c_lessequals(c_inter(v_Z,v_Y,t_a),v_X,tc_set(t_a)),
inference(resolution,[status(thm)],[f44,f41]) ).
fof(f51,plain,
! [X0] :
( ~ c_in(X0,c_inter(v_Z,v_Y,t_a),t_a)
| c_in(X0,v_X,t_a) ),
inference(resolution,[status(thm)],[f47,f17]) ).
fof(f56,plain,
! [X0] :
( c_in(X0,v_X,t_a)
| ~ c_in(X0,v_Y,t_a)
| ~ c_in(X0,v_Z,t_a) ),
inference(resolution,[status(thm)],[f51,f15]) ).
fof(f64,plain,
( spl0_2
<=> c_in(v_x,v_X,t_a) ),
introduced(split_symbol_definition) ).
fof(f65,plain,
( c_in(v_x,v_X,t_a)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( spl0_3
<=> c_in(v_x,v_Y,t_a) ),
introduced(split_symbol_definition) ).
fof(f69,plain,
( ~ c_in(v_x,v_Y,t_a)
| spl0_3 ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( c_in(v_x,v_X,t_a)
| ~ c_in(v_x,v_Y,t_a) ),
inference(resolution,[status(thm)],[f56,f21]) ).
fof(f71,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f70,f64,f67]) ).
fof(f72,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f20]) ).
fof(f73,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f72]) ).
fof(f74,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f65,f22]) ).
fof(f75,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f74]) ).
fof(f76,plain,
$false,
inference(sat_refutation,[status(thm)],[f71,f73,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SET830-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n013.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 May 30 10:10:20 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.10/0.33 % Refutation found
% 0.10/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.56 % Elapsed time: 0.030202 seconds
% 0.15/0.56 % CPU time: 0.015646 seconds
% 0.15/0.56 % Memory used: 634.653 KB
%------------------------------------------------------------------------------