TSTP Solution File: GRP123-7.003 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP123-7.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 20:19:18 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 25
% Syntax : Number of formulae : 95 ( 28 unt; 0 def)
% Number of atoms : 198 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 201 ( 98 ~; 94 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 10 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 81 ( 81 !; 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(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product1(X,Y,e_1)
| product1(X,Y,e_2)
| product1(X,Y,e_3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y,W,Z] :
( ~ product1(X,Y,W)
| ~ product1(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,W,Y,Z] :
( ~ product1(X,W,Y)
| ~ product1(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [W,Y,X,Z] :
( ~ product1(W,Y,X)
| ~ product1(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,W,Z] :
( ~ product2(X,Y,W)
| ~ product2(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product1(X,Y,Z1)
| ~ product1(Z1,Y,Z2)
| product2(Z2,X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f35,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f36,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f37,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f38,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f39,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f40,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f41,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f42,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f43,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f44,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product1(X,Y,W)
| ~ product1(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product1(X,W,Y)
| ~ product1(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f48,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product1(W,Y,X)
| ~ product1(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f52,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product2(X,Y,W)
| ~ product2(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( ~ product2(X0,X1,X2)
| ~ product2(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f59,plain,
! [X,Y,Z2] :
( ! [Z1] :
( ~ product1(X,Y,Z1)
| ~ product1(Z1,Y,Z2) )
| product2(Z2,X,Y) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X2,X1,X3)
| product2(X3,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f61,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| product2(X1,X0,X1) ),
inference(resolution,[status(thm)],[f50,f60]) ).
fof(f62,plain,
! [X0] : product2(X0,X0,X0),
inference(resolution,[status(thm)],[f61,f50]) ).
fof(f63,plain,
! [X0,X1] :
( ~ product1(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f45,f50]) ).
fof(f65,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f47,f50]) ).
fof(f67,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f49,f50]) ).
fof(f69,plain,
! [X0,X1] :
( ~ product2(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f53,f62]) ).
fof(f75,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f43,f36]) ).
fof(f76,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_2,X0,e_1)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f43,f35]) ).
fof(f103,plain,
( spl0_6
<=> product1(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f104,plain,
( product1(e_3,e_1,e_1)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( spl0_7
<=> product1(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f107,plain,
( product1(e_3,e_1,e_2)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( spl0_8
<=> product1(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f110,plain,
( product1(e_3,e_1,e_3)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f75,f34]) ).
fof(f113,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f112,f103,f106,f109]) ).
fof(f115,plain,
( equalish(e_1,e_3)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f110,f65]) ).
fof(f116,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f38]) ).
fof(f117,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f118,plain,
! [X0] :
( ~ product1(X0,e_1,e_2)
| equalish(X0,e_3)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f107,f49]) ).
fof(f121,plain,
! [X0] :
( ~ product1(X0,e_1,e_3)
| product2(e_2,X0,e_1)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f107,f60]) ).
fof(f128,plain,
( equalish(e_3,e_1)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f104,f67]) ).
fof(f129,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f128,f41]) ).
fof(f130,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f129]) ).
fof(f155,plain,
( spl0_10
<=> product1(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f156,plain,
( product1(e_2,e_3,e_2)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( spl0_11
<=> product1(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f159,plain,
( product1(e_2,e_3,e_3)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f169,plain,
( spl0_14
<=> product1(e_2,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f170,plain,
( product1(e_2,e_2,e_3)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f174,plain,
( spl0_15
<=> product1(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f175,plain,
( product1(e_2,e_1,e_1)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( spl0_16
<=> product1(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( product1(e_2,e_1,e_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( spl0_17
<=> product1(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f181,plain,
( product1(e_2,e_1,e_3)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f180]) ).
fof(f183,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f76,f34]) ).
fof(f184,plain,
( spl0_15
| spl0_16
| spl0_17 ),
inference(split_clause,[status(thm)],[f183,f174,f177,f180]) ).
fof(f185,plain,
( product2(e_2,e_2,e_1)
| ~ spl0_17
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f181,f121]) ).
fof(f190,plain,
( equalish(e_2,e_3)
| ~ spl0_16
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f178,f118]) ).
fof(f191,plain,
( $false
| ~ spl0_16
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f190,f40]) ).
fof(f192,plain,
( ~ spl0_16
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f193,plain,
( equalish(e_2,e_1)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f175,f67]) ).
fof(f194,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f39]) ).
fof(f195,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f194]) ).
fof(f199,plain,
( equalish(e_3,e_2)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f170,f63]) ).
fof(f200,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f199,f42]) ).
fof(f201,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f200]) ).
fof(f205,plain,
( equalish(e_2,e_3)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f159,f67]) ).
fof(f206,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f205,f40]) ).
fof(f207,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( equalish(e_3,e_2)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f156,f65]) ).
fof(f210,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f209,f42]) ).
fof(f211,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f210]) ).
fof(f218,plain,
( equalish(e_1,e_2)
| ~ spl0_17
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f185,f69]) ).
fof(f219,plain,
( $false
| ~ spl0_17
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f218,f37]) ).
fof(f220,plain,
( ~ spl0_17
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f219]) ).
fof(f221,plain,
$false,
inference(sat_refutation,[status(thm)],[f113,f117,f130,f184,f192,f195,f201,f207,f211,f220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP123-7.003 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:23:55 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.023372 seconds
% 0.13/0.38 % CPU time: 0.085938 seconds
% 0.13/0.38 % Total memory used: 3.332 MB
% 0.13/0.38 % Net memory used: 3.175 MB
%------------------------------------------------------------------------------