TSTP Solution File: CAT002-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:13:15 EDT 2024
% Result : Unsatisfiable 4.59s 0.87s
% Output : CNFRefutation 4.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 43 ( 20 unt; 0 def)
% Number of atoms : 82 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 80 ( 41 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ defined(X,Y)
| product(X,Y,compose(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ~ product(X,Y,Z)
| defined(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Xy,Z] :
( ~ product(X,Y,Xy)
| ~ defined(Xy,Z)
| defined(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Xy,Z,Xyz,Yz] :
( ~ product(X,Y,Xy)
| ~ product(Xy,Z,Xyz)
| ~ product(Y,Z,Yz)
| product(X,Yz,Xyz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
! [X,W,Y] :
( ~ product(a,X,W)
| ~ product(a,Y,W)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [X,W,Y] :
( ~ product(b,X,W)
| ~ product(b,Y,W)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,hypothesis,
product(c,h,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
product(c,g,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
h != g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0,X1] :
( ~ defined(X0,X1)
| product(X0,X1,compose(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f26,plain,
! [X,Y] :
( ! [Z] : ~ product(X,Y,Z)
| defined(X,Y) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f28,plain,
! [Y,Z] :
( ! [Xy] :
( ! [X] : ~ product(X,Y,Xy)
| ~ defined(Xy,Z) )
| defined(Y,Z) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f29,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ defined(X2,X3)
| defined(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f32,plain,
! [X,Xyz,Yz] :
( ! [Y,Z] :
( ! [Xy] :
( ~ product(X,Y,Xy)
| ~ product(Xy,Z,Xyz) )
| ~ product(Y,Z,Yz) )
| product(X,Yz,Xyz) ),
inference(miniscoping,[status(esa)],[f5]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X2,X3,X4)
| ~ product(X1,X3,X5)
| product(X0,X5,X4) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f52,plain,
! [X,Y] :
( ! [W] :
( ~ product(a,X,W)
| ~ product(a,Y,W) )
| X = Y ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ product(a,X0,X1)
| ~ product(a,X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
! [X,Y] :
( ! [W] :
( ~ product(b,X,W)
| ~ product(b,Y,W) )
| X = Y ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ product(b,X0,X1)
| ~ product(b,X2,X1)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
product(a,b,c),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f57,plain,
product(c,h,d),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f58,plain,
product(c,g,d),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f59,plain,
h != g,
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f64,plain,
defined(c,g),
inference(resolution,[status(thm)],[f27,f58]) ).
fof(f65,plain,
defined(c,h),
inference(resolution,[status(thm)],[f27,f57]) ).
fof(f71,plain,
! [X0] :
( ~ defined(c,X0)
| defined(b,X0) ),
inference(resolution,[status(thm)],[f29,f56]) ).
fof(f80,plain,
defined(b,h),
inference(resolution,[status(thm)],[f71,f65]) ).
fof(f81,plain,
defined(b,g),
inference(resolution,[status(thm)],[f71,f64]) ).
fof(f83,plain,
product(b,h,compose(b,h)),
inference(resolution,[status(thm)],[f80,f25]) ).
fof(f84,plain,
product(b,g,compose(b,g)),
inference(resolution,[status(thm)],[f81,f25]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ product(c,X0,X1)
| ~ product(b,X0,X2)
| product(a,X2,X1) ),
inference(resolution,[status(thm)],[f33,f56]) ).
fof(f1470,plain,
! [X0] :
( ~ product(b,X0,compose(b,h))
| h = X0 ),
inference(resolution,[status(thm)],[f55,f83]) ).
fof(f2322,plain,
! [X0] :
( ~ product(b,g,X0)
| product(a,X0,d) ),
inference(resolution,[status(thm)],[f118,f58]) ).
fof(f2323,plain,
! [X0] :
( ~ product(b,h,X0)
| product(a,X0,d) ),
inference(resolution,[status(thm)],[f118,f57]) ).
fof(f2638,plain,
product(a,compose(b,g),d),
inference(resolution,[status(thm)],[f2322,f84]) ).
fof(f2972,plain,
product(a,compose(b,h),d),
inference(resolution,[status(thm)],[f2323,f83]) ).
fof(f8135,plain,
! [X0] :
( ~ product(a,X0,d)
| compose(b,g) = X0 ),
inference(resolution,[status(thm)],[f2638,f53]) ).
fof(f16087,plain,
compose(b,g) = compose(b,h),
inference(resolution,[status(thm)],[f8135,f2972]) ).
fof(f16106,plain,
product(b,g,compose(b,h)),
inference(backward_demodulation,[status(thm)],[f16087,f84]) ).
fof(f16108,plain,
h = g,
inference(resolution,[status(thm)],[f16106,f1470]) ).
fof(f16109,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16108,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07 % Problem : CAT002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n023.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 22:28:25 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.26 % Drodi V3.6.0
% 4.59/0.87 % Refutation found
% 4.59/0.87 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.59/0.87 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.59/0.89 % Elapsed time: 0.626395 seconds
% 4.59/0.89 % CPU time: 4.909345 seconds
% 4.59/0.89 % Total memory used: 104.227 MB
% 4.59/0.89 % Net memory used: 96.775 MB
%------------------------------------------------------------------------------