TSTP Solution File: GRP123-3.003 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 0.14s 0.40s
% Output : CNFRefutation 0.21s
% 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(f17,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,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(f28,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,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(f53,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f54,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f55,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f56,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f59,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f62,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)],[f26]) ).
fof(f65,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f67,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f68,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f69,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f72,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)],[f32]) ).
fof(f73,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)],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f56,f68]) ).
fof(f75,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f56,f66]) ).
fof(f89,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f59,f68]) ).
fof(f90,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f59,f66]) ).
fof(f92,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,e_2,X1)
| ~ product(X2,e_3,X1)
| ~ product(X3,e_2,X0)
| ~ product(X3,e_3,X2) ),
inference(resolution,[status(thm)],[f59,f73]) ).
fof(f105,plain,
~ product(e_1,e_2,e_2),
inference(resolution,[status(thm)],[f74,f69]) ).
fof(f128,plain,
! [X0] :
( ~ product(X0,e_2,e_3)
| ~ product(e_3,e_2,X0) ),
inference(resolution,[status(thm)],[f92,f69]) ).
fof(f139,plain,
~ product(e_3,e_2,e_3),
inference(resolution,[status(thm)],[f90,f69]) ).
fof(f151,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)],[f62,f54]) ).
fof(f224,plain,
( spl0_15
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f225,plain,
( product(e_3,e_2,e_1)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f227,plain,
( spl0_16
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f228,plain,
( product(e_3,e_2,e_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f230,plain,
( spl0_17
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f231,plain,
( product(e_3,e_2,e_3)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f230]) ).
fof(f233,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f151,f55]) ).
fof(f234,plain,
( spl0_15
| spl0_16
| spl0_17 ),
inference(split_clause,[status(thm)],[f233,f224,f227,f230]) ).
fof(f246,plain,
( spl0_21
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f247,plain,
( product(e_1,e_2,e_1)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,plain,
( spl0_22
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f250,plain,
( product(e_1,e_2,e_2)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( spl0_23
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f253,plain,
( product(e_1,e_2,e_3)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,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)],[f151,f53]) ).
fof(f256,plain,
( spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f255,f246,f249,f252]) ).
fof(f257,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f105]) ).
fof(f258,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f257]) ).
fof(f261,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f231,f139]) ).
fof(f262,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f261]) ).
fof(f388,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f247,f75]) ).
fof(f389,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f388,f69]) ).
fof(f390,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f389]) ).
fof(f398,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f228,f89]) ).
fof(f399,plain,
( $false
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f398,f69]) ).
fof(f400,plain,
~ spl0_16,
inference(contradiction_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( ~ product(e_1,e_2,e_3)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f225,f128]) ).
fof(f403,plain,
( $false
| ~ spl0_23
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f402,f253]) ).
fof(f404,plain,
( ~ spl0_23
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f403]) ).
fof(f405,plain,
$false,
inference(sat_refutation,[status(thm)],[f234,f256,f258,f262,f390,f400,f404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n025.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 00:38:26 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.43 % Elapsed time: 0.065621 seconds
% 0.21/0.43 % CPU time: 0.413669 seconds
% 0.21/0.43 % Total memory used: 12.399 MB
% 0.21/0.43 % Net memory used: 12.161 MB
%------------------------------------------------------------------------------