TSTP Solution File: GRP123-2.003 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% 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 20:19:17 EDT 2024
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 19 unt; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 146 ( 73 ~; 67 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 7 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1)
| ~ product(Z2,Y1,X1)
| ~ product(Z2,Y2,X2)
| equalish(Y1,Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f31,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f32,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f33,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f34,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f39,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f42,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f49,plain,
! [Y1,Y2] :
( ! [X2,Z2] :
( ! [X1] :
( ! [Z1] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1) )
| ~ product(Z2,Y1,X1) )
| ~ product(Z2,Y2,X2) )
| equalish(Y1,Y2) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X0)
| ~ product(X5,X4,X3)
| equalish(X1,X4) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f51,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f30,f39]) ).
fof(f54,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f33,f45]) ).
fof(f55,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f33,f43]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,e_1,X1)
| ~ product(X2,e_2,X1)
| ~ product(X3,e_1,X0)
| ~ product(X3,e_2,X2) ),
inference(resolution,[status(thm)],[f33,f50]) ).
fof(f59,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| ~ product(e_2,e_1,X0) ),
inference(resolution,[status(thm)],[f57,f46]) ).
fof(f67,plain,
~ product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[f55,f46]) ).
fof(f69,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f34,f45]) ).
fof(f70,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f34,f43]) ).
fof(f82,plain,
~ product(e_3,e_1,e_3),
inference(resolution,[status(thm)],[f70,f46]) ).
fof(f115,plain,
( spl0_0
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f116,plain,
( product(e_3,e_1,e_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( spl0_1
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f119,plain,
( product(e_3,e_1,e_2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( spl0_2
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f122,plain,
( product(e_3,e_1,e_3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f51,f32]) ).
fof(f125,plain,
( spl0_0
| spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f124,f115,f118,f121]) ).
fof(f126,plain,
( spl0_3
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f127,plain,
( product(e_2,e_1,e_1)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( spl0_4
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f130,plain,
( product(e_2,e_1,e_2)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( spl0_5
<=> product(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f133,plain,
( product(e_2,e_1,e_3)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f51,f31]) ).
fof(f136,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f135,f126,f129,f132]) ).
fof(f148,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f67]) ).
fof(f149,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f150,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f82]) ).
fof(f151,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f150]) ).
fof(f163,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f127,f54]) ).
fof(f164,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f163,f46]) ).
fof(f165,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f164]) ).
fof(f168,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f116,f69]) ).
fof(f169,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f168,f46]) ).
fof(f170,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f172,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f133,f59]) ).
fof(f173,plain,
( $false
| ~ spl0_1
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f172,f119]) ).
fof(f174,plain,
( ~ spl0_1
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f173]) ).
fof(f175,plain,
$false,
inference(sat_refutation,[status(thm)],[f125,f136,f149,f151,f165,f170,f174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12 % Problem : GRP123-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.09/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:30:28 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.37 % Elapsed time: 0.019087 seconds
% 0.12/0.37 % CPU time: 0.069450 seconds
% 0.12/0.37 % Total memory used: 3.835 MB
% 0.12/0.37 % Net memory used: 3.676 MB
%------------------------------------------------------------------------------