TSTP Solution File: GRP125-4.003 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:10:33 EDT 2023
% Result : Unsatisfiable 0.15s 0.37s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 62 ( 16 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 149 ( 67 ~; 77 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 67 (; 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(e_1,X,Y)
| product(e_2,X,Y)
| product(e_3,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y,X,Z2,Z1] :
( product(Y,X,Z2)
| ~ product(Z1,Z2,X)
| ~ product(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(e_1,X0,X1)
| product(e_2,X0,X1)
| product(e_3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
! [Y,X,Z1] :
( ! [Z2] :
( product(Y,X,Z2)
| ~ product(Z1,Z2,X) )
| ~ product(X,Y,Z1) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( product(X0,X1,X2)
| ~ product(X3,X2,X1)
| ~ product(X1,X0,X3) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f27,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f29,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f31,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f34,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f35,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)],[f14]) ).
fof(f36,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f37,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f40,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f59,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_2,X0,e_1)
| product(e_3,X0,e_1) ),
inference(resolution,[status(thm)],[f20,f26]) ).
fof(f63,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f37,f42]) ).
fof(f65,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f39,f42]) ).
fof(f67,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f41,f42]) ).
fof(f70,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f35,f27]) ).
fof(f83,plain,
( spl0_3
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( product(e_1,e_2,e_3)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f116,plain,
( spl0_12
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f117,plain,
( product(e_1,e_2,e_2)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f149,plain,
( spl0_21
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f150,plain,
( product(e_1,e_2,e_1)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( spl0_22
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f153,plain,
( product(e_2,e_2,e_1)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( spl0_23
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f156,plain,
( product(e_3,e_2,e_1)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f59,f27]) ).
fof(f159,plain,
( spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f158,f149,f152,f155]) ).
fof(f199,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f70,f26]) ).
fof(f200,plain,
( spl0_21
| spl0_12
| spl0_3 ),
inference(split_clause,[status(thm)],[f199,f149,f116,f83]) ).
fof(f210,plain,
! [X0] :
( product(X0,e_3,e_2)
| ~ product(e_3,X0,e_1)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f84,f25]) ).
fof(f221,plain,
( equalish(e_1,e_2)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f117,f67]) ).
fof(f222,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f29]) ).
fof(f223,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f222]) ).
fof(f231,plain,
( product(e_2,e_3,e_2)
| ~ spl0_23
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f156,f210]) ).
fof(f242,plain,
( equalish(e_3,e_2)
| ~ spl0_23
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f231,f65]) ).
fof(f243,plain,
( $false
| ~ spl0_23
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f34]) ).
fof(f244,plain,
( ~ spl0_23
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f243]) ).
fof(f247,plain,
( equalish(e_1,e_2)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f153,f63]) ).
fof(f248,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f29]) ).
fof(f249,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f248]) ).
fof(f251,plain,
( equalish(e_2,e_1)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f150,f65]) ).
fof(f252,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f31]) ).
fof(f253,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f252]) ).
fof(f254,plain,
$false,
inference(sat_refutation,[status(thm)],[f159,f200,f223,f244,f249,f253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GRP125-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34 % Computer : n017.cluster.edu
% 0.10/0.34 % Model : x86_64 x86_64
% 0.10/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34 % Memory : 8042.1875MB
% 0.10/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34 % CPULimit : 300
% 0.10/0.34 % WCLimit : 300
% 0.10/0.34 % DateTime : Tue May 30 10:54:40 EDT 2023
% 0.10/0.34 % CPUTime :
% 0.10/0.35 % Drodi V3.5.1
% 0.15/0.37 % Refutation found
% 0.15/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.39 % Elapsed time: 0.038925 seconds
% 0.15/0.39 % CPU time: 0.058210 seconds
% 0.15/0.39 % Memory used: 2.772 MB
%------------------------------------------------------------------------------