TSTP Solution File: GRP013-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:18:46 EDT 2024
% Result : Unsatisfiable 0.15s 0.32s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 23 unt; 0 def)
% Number of atoms : 42 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 14 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X] : product(X,identity,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : product(inverse(X),X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| Z = W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,hypothesis,
! [A] : product(A,A,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,hypothesis,
product(inverse(a),inverse(b),d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,hypothesis,
! [A,B,C] :
( ~ product(inverse(A),inverse(B),C)
| product(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ product(c,d,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : product(X0,identity,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f16,plain,
! [X0] : product(inverse(X0),X0,identity),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f19,plain,
! [Z,W] :
( ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) )
| Z = W ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f25,plain,
! [X0] : product(X0,X0,identity),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f26,plain,
product(a,b,c),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f27,plain,
product(inverse(a),inverse(b),d),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ~ product(inverse(X0),inverse(X1),X2)
| product(X0,X2,X1) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f29,plain,
~ product(c,d,identity),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f30,plain,
! [X0] :
( ~ product(a,b,X0)
| c = X0 ),
inference(resolution,[status(thm)],[f20,f26]) ).
fof(f34,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| X0 = X1 ),
inference(resolution,[status(thm)],[f20,f15]) ).
fof(f60,plain,
c = multiply(a,b),
inference(resolution,[status(thm)],[f18,f30]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| multiply(X0,X1) = X2 ),
inference(resolution,[status(thm)],[f18,f20]) ).
fof(f81,plain,
multiply(inverse(a),inverse(b)) = d,
inference(resolution,[status(thm)],[f67,f27]) ).
fof(f89,plain,
! [X0] : product(inverse(X0),identity,X0),
inference(resolution,[status(thm)],[f28,f16]) ).
fof(f99,plain,
! [X0] : inverse(X0) = X0,
inference(resolution,[status(thm)],[f89,f34]) ).
fof(f106,plain,
multiply(inverse(a),b) = d,
inference(backward_demodulation,[status(thm)],[f99,f81]) ).
fof(f107,plain,
multiply(a,b) = d,
inference(forward_demodulation,[status(thm)],[f99,f106]) ).
fof(f108,plain,
c = d,
inference(forward_demodulation,[status(thm)],[f60,f107]) ).
fof(f121,plain,
~ product(c,c,identity),
inference(backward_demodulation,[status(thm)],[f108,f29]) ).
fof(f122,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f121,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GRP013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n006.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Apr 30 00:14:35 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.6.0
% 0.15/0.32 % Refutation found
% 0.15/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.33 % Elapsed time: 0.015641 seconds
% 0.15/0.33 % CPU time: 0.024219 seconds
% 0.15/0.33 % Total memory used: 4.027 MB
% 0.15/0.33 % Net memory used: 3.945 MB
%------------------------------------------------------------------------------