TSTP Solution File: GRP125-1.003 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP125-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n011.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 20:19:21 EDT 2024
% Result : Unsatisfiable 0.22s 0.39s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 65 ( 17 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 145 ( 67 ~; 72 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_3,e_2),
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(f15,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product(X,Y,Z1)
| ~ product(Y,X,Z2)
| product(Z1,Z2,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f24,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,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(f26,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f30,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f33,plain,
! [X,Z1,Z2] :
( ! [Y] :
( ~ product(X,Y,Z1)
| ~ product(Y,X,Z2) )
| product(Z1,Z2,X) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f37,plain,
! [X0,X1] :
( ~ product(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f27,f32]) ).
fof(f39,plain,
! [X0,X1] :
( ~ product(X0,X1,X0)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f29,f32]) ).
fof(f41,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f25,f18]) ).
fof(f42,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f25,f17]) ).
fof(f44,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f31,f32]) ).
fof(f57,plain,
( spl0_3
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( product(e_3,e_2,e_1)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( spl0_4
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( product(e_3,e_2,e_2)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( spl0_5
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f64,plain,
( product(e_3,e_2,e_3)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,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)],[f41,f17]) ).
fof(f67,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f66,f57,f60,f63]) ).
fof(f79,plain,
( spl0_9
<=> product(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( product(e_2,e_3,e_1)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( spl0_10
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( product(e_2,e_3,e_2)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( spl0_11
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f86,plain,
( product(e_2,e_3,e_3)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,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)],[f42,f18]) ).
fof(f89,plain,
( spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f88,f79,f82,f85]) ).
fof(f157,plain,
( equalish(e_2,e_3)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f64,f39]) ).
fof(f158,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f22]) ).
fof(f159,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f158]) ).
fof(f160,plain,
( equalish(e_3,e_2)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f61,f44]) ).
fof(f161,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f160,f24]) ).
fof(f162,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f161]) ).
fof(f166,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(X0,e_1,e_2)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f58,f34]) ).
fof(f188,plain,
( equalish(e_2,e_3)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f86,f44]) ).
fof(f189,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f22]) ).
fof(f190,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f189]) ).
fof(f194,plain,
( equalish(e_3,e_2)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f83,f39]) ).
fof(f195,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f194,f24]) ).
fof(f196,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f195]) ).
fof(f197,plain,
( product(e_1,e_1,e_2)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f80,f166]) ).
fof(f204,plain,
( equalish(e_2,e_1)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f197,f37]) ).
fof(f205,plain,
( $false
| ~ spl0_9
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f204,f21]) ).
fof(f206,plain,
( ~ spl0_9
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f205]) ).
fof(f207,plain,
$false,
inference(sat_refutation,[status(thm)],[f67,f89,f159,f162,f190,f196,f206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP125-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n011.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 00:31:01 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.22/0.37 % Drodi V3.6.0
% 0.22/0.39 % Refutation found
% 0.22/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.40 % Elapsed time: 0.034357 seconds
% 0.22/0.40 % CPU time: 0.130591 seconds
% 0.22/0.40 % Total memory used: 4.766 MB
% 0.22/0.40 % Net memory used: 4.601 MB
%------------------------------------------------------------------------------