TSTP Solution File: GRP047-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP047-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 : Wed May 31 12:09:50 EDT 2023
% Result : Unsatisfiable 2.90s 0.79s
% Output : CNFRefutation 2.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 49 ( 24 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 96 ( 49 ~; 47 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 126 (; 126 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] : product(identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] : product(inverse(X),X,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : product(X,Y,multiply(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,Z,W] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W)
| equalish(Z,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,U,Z,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W)
| product(X,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y,U,Z,V,W] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(X,V,W)
| product(U,Z,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y,W,Z] :
( ~ equalish(X,Y)
| ~ product(W,Z,X)
| product(W,Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,hypothesis,
equalish(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ equalish(multiply(c,a),multiply(c,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : product(identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f11,plain,
! [X0] : product(inverse(X0),X0,identity),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [Z,W] :
( ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) )
| equalish(Z,W) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f15,plain,
! [X,V,W] :
( ! [U,Z] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) )
| product(X,V,W) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X2,X3,X5)
| product(X0,X4,X5) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f17,plain,
! [U,Z,W] :
( ! [X,V] :
( ! [Y] :
( ~ product(X,Y,U)
| ~ product(Y,Z,V) )
| ~ product(X,V,W) )
| product(U,Z,W) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f18,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| ~ product(X0,X4,X5)
| product(X2,X3,X5) ),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f19,plain,
! [Y,W,Z] :
( ! [X] :
( ~ equalish(X,Y)
| ~ product(W,Z,X) )
| product(W,Z,Y) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f20,plain,
! [X0,X1,X2,X3] :
( ~ equalish(X0,X1)
| ~ product(X2,X3,X0)
| product(X2,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
equalish(a,b),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f22,plain,
~ equalish(multiply(c,a),multiply(c,b)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| equalish(X2,multiply(X0,X1)) ),
inference(resolution,[status(thm)],[f14,f12]) ).
fof(f27,plain,
! [X0,X1] :
( ~ equalish(X0,X1)
| product(identity,X0,X1) ),
inference(resolution,[status(thm)],[f10,f20]) ).
fof(f29,plain,
! [X0,X1] :
( ~ product(identity,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f10,f14]) ).
fof(f32,plain,
product(identity,a,b),
inference(resolution,[status(thm)],[f27,f21]) ).
fof(f39,plain,
! [X0] : equalish(multiply(identity,X0),X0),
inference(resolution,[status(thm)],[f29,f12]) ).
fof(f44,plain,
! [X0] : product(identity,multiply(identity,X0),X0),
inference(resolution,[status(thm)],[f39,f27]) ).
fof(f53,plain,
! [X0] : equalish(identity,multiply(inverse(X0),X0)),
inference(resolution,[status(thm)],[f11,f23]) ).
fof(f65,plain,
! [X0] : product(identity,identity,multiply(inverse(X0),X0)),
inference(resolution,[status(thm)],[f53,f27]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,inverse(X1),X2)
| ~ product(X2,X1,X3)
| product(X0,identity,X3) ),
inference(resolution,[status(thm)],[f16,f11]) ).
fof(f109,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| product(X0,multiply(X1,X3),X4) ),
inference(resolution,[status(thm)],[f16,f12]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X4)
| product(X0,X4,multiply(X2,X3)) ),
inference(resolution,[status(thm)],[f16,f12]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4] :
( ~ product(X0,X1,X2)
| ~ product(X0,multiply(X1,X3),X4)
| product(X2,X3,X4) ),
inference(resolution,[status(thm)],[f18,f12]) ).
fof(f274,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,identity)
| product(X0,multiply(X1,X2),X2) ),
inference(resolution,[status(thm)],[f109,f10]) ).
fof(f289,plain,
! [X0,X1] :
( ~ product(X0,identity,X1)
| product(X0,b,multiply(X1,a)) ),
inference(resolution,[status(thm)],[f117,f32]) ).
fof(f290,plain,
! [X0,X1,X2] :
( ~ product(X0,identity,X1)
| product(X0,X2,multiply(X1,X2)) ),
inference(resolution,[status(thm)],[f117,f10]) ).
fof(f429,plain,
! [X0,X1] :
( ~ product(identity,identity,X0)
| product(X0,X1,X1) ),
inference(resolution,[status(thm)],[f128,f44]) ).
fof(f456,plain,
! [X0,X1] : product(multiply(inverse(X0),X0),X1,X1),
inference(resolution,[status(thm)],[f429,f65]) ).
fof(f558,plain,
! [X0,X1] : product(inverse(X0),multiply(X0,X1),X1),
inference(resolution,[status(thm)],[f274,f11]) ).
fof(f590,plain,
! [X0,X1,X2] :
( ~ product(inverse(X0),X0,X1)
| product(X1,X2,X2) ),
inference(resolution,[status(thm)],[f558,f128]) ).
fof(f680,plain,
! [X0,X1,X2] :
( ~ product(multiply(X0,inverse(X1)),X1,X2)
| product(X0,identity,X2) ),
inference(resolution,[status(thm)],[f95,f12]) ).
fof(f1390,plain,
! [X0] : product(inverse(inverse(X0)),identity,X0),
inference(resolution,[status(thm)],[f680,f456]) ).
fof(f1398,plain,
! [X0,X1] : product(inverse(inverse(X0)),X1,multiply(X0,X1)),
inference(resolution,[status(thm)],[f1390,f290]) ).
fof(f1601,plain,
! [X0,X1] : product(multiply(X0,inverse(X0)),X1,X1),
inference(resolution,[status(thm)],[f1398,f590]) ).
fof(f1624,plain,
! [X0] : product(X0,identity,X0),
inference(resolution,[status(thm)],[f1601,f680]) ).
fof(f2563,plain,
! [X0] : product(X0,b,multiply(X0,a)),
inference(resolution,[status(thm)],[f289,f1624]) ).
fof(f2634,plain,
! [X0] : equalish(multiply(X0,a),multiply(X0,b)),
inference(resolution,[status(thm)],[f2563,f23]) ).
fof(f6427,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f22,f2634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : GRP047-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n014.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:24:18 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 2.90/0.79 % Refutation found
% 2.90/0.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.90/0.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.90/0.81 % Elapsed time: 0.483886 seconds
% 2.90/0.81 % CPU time: 3.397545 seconds
% 2.90/0.81 % Memory used: 53.190 MB
%------------------------------------------------------------------------------