TSTP Solution File: BOO013-3 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : BOO013-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:02:47 EDT 2023
% Result : Unsatisfiable 11.02s 1.79s
% Output : CNFRefutation 11.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 24 unt; 0 def)
% Number of atoms : 85 ( 14 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 84 ( 43 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 89 (; 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : sum(X,Y,add(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( ~ sum(X,Y,Z)
| sum(Y,X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : sum(additive_identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] : product(multiplicative_identity,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [Y,X,V1,Z,V2,V3,V4] :
( ~ sum(Y,X,V1)
| ~ sum(Z,X,V2)
| ~ product(Y,Z,V3)
| ~ sum(V3,X,V4)
| product(V1,V2,V4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,Y,U,V] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V)
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X,Y,U,V] :
( ~ product(X,Y,U)
| ~ product(X,Y,V)
| U = V ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
sum(x,y,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
sum(x,z,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
product(x,y,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
product(x,z,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
y != z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| sum(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f33,plain,
! [X0] : sum(additive_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f35,plain,
! [X0] : product(multiplicative_identity,X0,X0),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f49,plain,
! [V1,V2,V4] :
( ! [X,V3] :
( ! [Y,Z] :
( ~ sum(Y,X,V1)
| ~ sum(Z,X,V2)
| ~ product(Y,Z,V3) )
| ~ sum(V3,X,V4) )
| product(V1,V2,V4) ),
inference(miniscoping,[status(esa)],[f15]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ sum(X0,X1,X2)
| ~ sum(X3,X1,X4)
| ~ product(X0,X3,X5)
| ~ sum(X5,X1,X6)
| product(X2,X4,X6) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f57,plain,
! [U,V] :
( ! [X,Y] :
( ~ sum(X,Y,U)
| ~ sum(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ~ sum(X0,X1,X2)
| ~ sum(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f59,plain,
! [U,V] :
( ! [X,Y] :
( ~ product(X,Y,U)
| ~ product(X,Y,V) )
| U = V ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f62,plain,
sum(x,y,multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f63,plain,
sum(x,z,multiplicative_identity),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f64,plain,
product(x,y,additive_identity),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f65,plain,
product(x,z,additive_identity),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f66,plain,
y != z,
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ sum(X0,X1,X2)
| X2 = add(X0,X1) ),
inference(resolution,[status(thm)],[f29,f58]) ).
fof(f330,plain,
! [X0,X1,X2] :
( X0 = add(X1,X2)
| ~ sum(X2,X1,X0) ),
inference(resolution,[status(thm)],[f79,f31]) ).
fof(f339,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(resolution,[status(thm)],[f330,f29]) ).
fof(f358,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(paramodulation,[status(thm)],[f339,f29]) ).
fof(f402,plain,
! [X0,X1] :
( ~ product(multiplicative_identity,X0,X1)
| X1 = X0 ),
inference(resolution,[status(thm)],[f60,f35]) ).
fof(f431,plain,
! [X0,X1,X2,X3] :
( ~ sum(x,X0,X1)
| ~ sum(z,X0,X2)
| ~ sum(additive_identity,X0,X3)
| product(X1,X2,X3) ),
inference(resolution,[status(thm)],[f50,f65]) ).
fof(f432,plain,
! [X0,X1,X2,X3] :
( ~ sum(x,X0,X1)
| ~ sum(y,X0,X2)
| ~ sum(additive_identity,X0,X3)
| product(X1,X2,X3) ),
inference(resolution,[status(thm)],[f50,f64]) ).
fof(f643,plain,
! [X0,X1,X2] :
( ~ sum(x,X0,X1)
| ~ sum(additive_identity,X0,X2)
| product(X1,add(X0,z),X2) ),
inference(resolution,[status(thm)],[f431,f358]) ).
fof(f717,plain,
! [X0,X1,X2] :
( ~ sum(x,X0,X1)
| ~ sum(additive_identity,X0,X2)
| product(X1,add(y,X0),X2) ),
inference(resolution,[status(thm)],[f432,f29]) ).
fof(f1182,plain,
! [X0,X1] :
( ~ sum(x,X0,X1)
| product(X1,add(X0,z),X0) ),
inference(resolution,[status(thm)],[f643,f33]) ).
fof(f1231,plain,
product(multiplicative_identity,add(y,z),y),
inference(resolution,[status(thm)],[f1182,f62]) ).
fof(f1612,plain,
y = add(y,z),
inference(resolution,[status(thm)],[f1231,f402]) ).
fof(f3546,plain,
! [X0,X1] :
( ~ sum(x,X0,X1)
| product(X1,add(y,X0),X0) ),
inference(resolution,[status(thm)],[f717,f33]) ).
fof(f3721,plain,
product(multiplicative_identity,add(y,z),z),
inference(resolution,[status(thm)],[f3546,f63]) ).
fof(f3722,plain,
product(multiplicative_identity,y,z),
inference(forward_demodulation,[status(thm)],[f1612,f3721]) ).
fof(f3742,plain,
z = y,
inference(resolution,[status(thm)],[f3722,f402]) ).
fof(f3743,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3742,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : BOO013-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n029.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 10:58:37 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.10/0.34 % Drodi V3.5.1
% 11.02/1.79 % Refutation found
% 11.02/1.79 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.02/1.79 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 11.02/1.80 % Elapsed time: 1.461246 seconds
% 11.02/1.80 % CPU time: 11.155265 seconds
% 11.02/1.80 % Memory used: 71.807 MB
%------------------------------------------------------------------------------