TSTP Solution File: SCT026-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SCT026-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:38:11 EDT 2024
% Result : Unsatisfiable 9.36s 1.60s
% Output : CNFRefutation 9.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 39 ( 12 unt; 0 def)
% Number of atoms : 73 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 65 ( 31 ~; 32 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-4 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f359,axiom,
! [V_b,V_a,T_b,T_a,V_r] :
( c_in(c_Pair(V_b,V_a,T_b,T_a),c_Relation_Oconverse(V_r,T_a,T_b),tc_prod(T_b,T_a))
| ~ c_in(c_Pair(V_a,V_b,T_a,T_b),V_r,tc_prod(T_a,T_b)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f448,axiom,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f450,axiom,
! [V_L] :
( c_in(c_Relation_Oconverse(V_L,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f505,axiom,
v_a != v_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f507,axiom,
! [V_y,V_x,V_L] :
( c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| V_x = V_y
| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f508,axiom,
! [V_x,V_S,T_a] :
( c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f509,axiom,
! [V_S,V_x,T_a] :
( hBOOL(hAPP(V_S,V_x))
| ~ c_in(V_x,V_S,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f511,negated_conjecture,
! [V_x] :
( ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_x,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(V_x,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f1068,plain,
! [X0,X1,X2,X3,X4] :
( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
| ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
inference(cnf_transformation,[status(esa)],[f359]) ).
fof(f1193,plain,
c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(cnf_transformation,[status(esa)],[f448]) ).
fof(f1195,plain,
! [X0] :
( c_in(c_Relation_Oconverse(X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f450]) ).
fof(f1293,plain,
v_a != v_b,
inference(cnf_transformation,[status(esa)],[f505]) ).
fof(f1296,plain,
! [V_L] :
( ! [V_y,V_x] :
( c_in(c_Pair(V_y,V_x,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(V_x,V_y,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),V_L,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| V_x = V_y )
| ~ c_in(V_L,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(miniscoping,[status(esa)],[f507]) ).
fof(f1297,plain,
! [X0,X1,X2] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X1 = X0
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f1296]) ).
fof(f1298,plain,
! [V_x,V_S] :
( ! [T_a] : c_in(V_x,V_S,T_a)
| ~ hBOOL(hAPP(V_S,V_x)) ),
inference(miniscoping,[status(esa)],[f508]) ).
fof(f1299,plain,
! [X0,X1,X2] :
( c_in(X0,X1,X2)
| ~ hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[status(esa)],[f1298]) ).
fof(f1300,plain,
! [V_S,V_x] :
( hBOOL(hAPP(V_S,V_x))
| ! [T_a] : ~ c_in(V_x,V_S,T_a) ),
inference(miniscoping,[status(esa)],[f509]) ).
fof(f1301,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(X0,X1))
| ~ c_in(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f1300]) ).
fof(f1304,plain,
! [X0] :
( ~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(cnf_transformation,[status(esa)],[f511]) ).
fof(f1364,plain,
! [X0] :
( ~ c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X0,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Relation_Oconverse(X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)) ),
inference(resolution,[status(thm)],[f1068,f1304]) ).
fof(f1526,plain,
( spl0_5
<=> v_a = v_b ),
introduced(split_symbol_definition) ).
fof(f1527,plain,
( v_a = v_b
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f1526]) ).
fof(f1545,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f1527,f1293]) ).
fof(f1546,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f1545]) ).
fof(f3938,plain,
c_in(c_Relation_Oconverse(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Arrow__Order__Mirabelle_OLin,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),
inference(resolution,[status(thm)],[f1193,f1195]) ).
fof(f3944,plain,
( spl0_203
<=> c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
introduced(split_symbol_definition) ).
fof(f3945,plain,
( c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_203 ),
inference(component_clause,[status(thm)],[f3944]) ).
fof(f3950,plain,
~ c_in(c_Pair(v_a,v_b,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(resolution,[status(thm)],[f1193,f1304]) ).
fof(f3953,plain,
hBOOL(hAPP(c_Arrow__Order__Mirabelle_OLin,v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1)),
inference(resolution,[status(thm)],[f1193,f1301]) ).
fof(f3955,plain,
! [X0] : c_in(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Arrow__Order__Mirabelle_OLin,X0),
inference(resolution,[status(thm)],[f3953,f1299]) ).
fof(f3959,plain,
! [X0,X1] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X1,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| X1 = X0 ),
inference(resolution,[status(thm)],[f3955,f1297]) ).
fof(f4899,plain,
( c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a = v_b ),
inference(resolution,[status(thm)],[f3959,f3950]) ).
fof(f4900,plain,
( spl0_203
| spl0_5 ),
inference(split_clause,[status(thm)],[f4899,f3944,f1526]) ).
fof(f4909,plain,
( hBOOL(hAPP(v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)))
| ~ spl0_203 ),
inference(resolution,[status(thm)],[f3945,f1301]) ).
fof(f4911,plain,
! [X0] :
( c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,X0)
| ~ spl0_203 ),
inference(resolution,[status(thm)],[f4909,f1299]) ).
fof(f5000,plain,
~ c_in(c_Pair(v_b,v_a,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1,tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),
inference(resolution,[status(thm)],[f3938,f1364]) ).
fof(f5001,plain,
( $false
| ~ spl0_203 ),
inference(forward_subsumption_resolution,[status(thm)],[f5000,f4911]) ).
fof(f5002,plain,
~ spl0_203,
inference(contradiction_clause,[status(thm)],[f5001]) ).
fof(f5003,plain,
$false,
inference(sat_refutation,[status(thm)],[f1546,f4900,f5002]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SCT026-1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n005.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:08:56 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.39 % Drodi V3.6.0
% 9.36/1.60 % Refutation found
% 9.36/1.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.36/1.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.36/1.67 % Elapsed time: 1.299657 seconds
% 9.36/1.67 % CPU time: 9.827108 seconds
% 9.36/1.67 % Total memory used: 225.439 MB
% 9.36/1.67 % Net memory used: 219.859 MB
%------------------------------------------------------------------------------