TSTP Solution File: GRP123-1.003 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP123-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 23
% Syntax : Number of formulae : 96 ( 30 unt; 0 def)
% Number of atoms : 199 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 217 ( 114 ~; 92 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 12 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 82 ( 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,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(f11,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f20,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f23,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,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)],[f10]) ).
fof(f27,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f36,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)],[f16]) ).
fof(f37,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)],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f20,f32]) ).
fof(f39,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f20,f30]) ).
fof(f40,plain,
! [X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f20,f28]) ).
fof(f43,plain,
~ product(e_1,e_2,e_2),
inference(resolution,[status(thm)],[f38,f33]) ).
fof(f44,plain,
~ product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[f39,f33]) ).
fof(f45,plain,
~ product(e_2,e_2,e_1),
inference(resolution,[status(thm)],[f40,f33]) ).
fof(f52,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f21,f32]) ).
fof(f53,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f21,f30]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,e_1,X1)
| ~ product(X2,e_3,X1)
| ~ product(X3,e_1,X0)
| ~ product(X3,e_3,X2) ),
inference(resolution,[status(thm)],[f21,f37]) ).
fof(f62,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f23,f32]) ).
fof(f63,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f23,f30]) ).
fof(f77,plain,
~ product(e_1,e_3,e_3),
inference(resolution,[status(thm)],[f52,f33]) ).
fof(f78,plain,
~ product(e_3,e_1,e_3),
inference(resolution,[status(thm)],[f53,f33]) ).
fof(f80,plain,
~ product(e_2,e_3,e_3),
inference(resolution,[status(thm)],[f62,f33]) ).
fof(f81,plain,
~ product(e_3,e_2,e_3),
inference(resolution,[status(thm)],[f63,f33]) ).
fof(f82,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3) ),
inference(resolution,[status(thm)],[f26,f19]) ).
fof(f87,plain,
! [X0,X1] :
( ~ product(e_1,e_1,X0)
| ~ product(X1,e_3,X0)
| ~ product(e_1,e_3,X1) ),
inference(resolution,[status(thm)],[f55,f33]) ).
fof(f112,plain,
( spl0_3
<=> product(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f113,plain,
( product(e_2,e_3,e_1)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f115,plain,
( spl0_4
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f116,plain,
( product(e_2,e_3,e_2)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( spl0_5
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f119,plain,
( product(e_2,e_3,e_3)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f82,f18]) ).
fof(f122,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f121,f112,f115,f118]) ).
fof(f123,plain,
( spl0_6
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f124,plain,
( product(e_1,e_3,e_1)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( spl0_7
<=> product(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f127,plain,
( product(e_1,e_3,e_2)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( spl0_8
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f130,plain,
( product(e_1,e_3,e_3)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f82,f17]) ).
fof(f133,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f132,f123,f126,f129]) ).
fof(f134,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f77]) ).
fof(f135,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f134]) ).
fof(f136,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f80]) ).
fof(f137,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f136]) ).
fof(f138,plain,
! [X0] :
( ~ product(e_1,e_1,X0)
| ~ product(e_2,e_3,X0)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f127,f87]) ).
fof(f159,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f124,f53]) ).
fof(f160,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f159,f33]) ).
fof(f161,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f160]) ).
fof(f164,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f116,f38]) ).
fof(f165,plain,
( $false
| ~ spl0_7
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f164,f127]) ).
fof(f166,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f165]) ).
fof(f173,plain,
( spl0_11
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f174,plain,
( product(e_3,e_2,e_3)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f178,plain,
( spl0_12
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f179,plain,
( product(e_2,e_2,e_1)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f192,plain,
( spl0_16
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( product(e_1,e_2,e_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f200,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f43]) ).
fof(f201,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f200]) ).
fof(f202,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f179,f45]) ).
fof(f203,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f202]) ).
fof(f204,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f174,f81]) ).
fof(f205,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f204]) ).
fof(f212,plain,
( spl0_20
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f213,plain,
( product(e_3,e_1,e_3)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f220,plain,
( spl0_22
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f221,plain,
( product(e_2,e_1,e_2)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f239,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f44]) ).
fof(f240,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f239]) ).
fof(f241,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f213,f78]) ).
fof(f242,plain,
~ spl0_20,
inference(contradiction_clause,[status(thm)],[f241]) ).
fof(f245,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_3
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f113,f138]) ).
fof(f246,plain,
( $false
| ~ spl0_3
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f33]) ).
fof(f247,plain,
( ~ spl0_3
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f246]) ).
fof(f248,plain,
$false,
inference(sat_refutation,[status(thm)],[f122,f133,f135,f137,f161,f166,f201,f203,f205,f240,f242,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP123-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:46:48 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.021904 seconds
% 0.13/0.38 % CPU time: 0.075885 seconds
% 0.13/0.38 % Total memory used: 3.019 MB
% 0.13/0.38 % Net memory used: 2.938 MB
%------------------------------------------------------------------------------