TSTP Solution File: CAT004-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 20:13:17 EDT 2024
% Result : Unsatisfiable 5.22s 1.05s
% Output : CNFRefutation 5.22s
% 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(f6,axiom,
! [Y,Z,Yz,X] :
( ~ product(Y,Z,Yz)
| ~ defined(X,Yz)
| defined(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [Y,Z,Yz,X,Xyz,Xy] :
( ~ product(Y,Z,Yz)
| ~ product(X,Yz,Xyz)
| ~ product(X,Y,Xy)
| product(Xy,Z,Xyz) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
! [X,W,Y] :
( ~ product(X,a,W)
| ~ product(Y,a,W)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [X,W,Y] :
( ~ product(X,b,W)
| ~ product(Y,b,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(h,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,hypothesis,
product(g,c,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(f34,plain,
! [Y,X] :
( ! [Yz] :
( ! [Z] : ~ product(Y,Z,Yz)
| ~ defined(X,Yz) )
| defined(X,Y) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ defined(X3,X2)
| defined(X3,X0) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f38,plain,
! [Z,Xyz,Xy] :
( ! [Y,X] :
( ! [Yz] :
( ~ product(Y,Z,Yz)
| ~ product(X,Yz,Xyz) )
| ~ product(X,Y,Xy) )
| product(Xy,Z,Xyz) ),
inference(miniscoping,[status(esa)],[f8]) ).
fof(f39,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X2,X4)
| ~ product(X3,X0,X5)
| product(X5,X1,X4) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f52,plain,
! [X,Y] :
( ! [W] :
( ~ product(X,a,W)
| ~ product(Y,a,W) )
| X = Y ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ product(X0,a,X1)
| ~ product(X2,a,X1)
| X0 = X2 ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
! [X,Y] :
( ! [W] :
( ~ product(X,b,W)
| ~ product(Y,b,W) )
| X = Y ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ product(X0,b,X1)
| ~ product(X2,b,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(h,c,d),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f58,plain,
product(g,c,d),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f59,plain,
h != g,
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f64,plain,
defined(g,c),
inference(resolution,[status(thm)],[f27,f58]) ).
fof(f65,plain,
defined(h,c),
inference(resolution,[status(thm)],[f27,f57]) ).
fof(f123,plain,
! [X0] :
( ~ defined(X0,c)
| defined(X0,a) ),
inference(resolution,[status(thm)],[f35,f56]) ).
fof(f183,plain,
defined(h,a),
inference(resolution,[status(thm)],[f123,f65]) ).
fof(f184,plain,
defined(g,a),
inference(resolution,[status(thm)],[f123,f64]) ).
fof(f187,plain,
product(h,a,compose(h,a)),
inference(resolution,[status(thm)],[f183,f25]) ).
fof(f189,plain,
product(g,a,compose(g,a)),
inference(resolution,[status(thm)],[f184,f25]) ).
fof(f247,plain,
! [X0,X1,X2] :
( ~ product(X0,c,X1)
| ~ product(X0,a,X2)
| product(X2,b,X1) ),
inference(resolution,[status(thm)],[f39,f56]) ).
fof(f2897,plain,
! [X0] :
( ~ product(g,a,X0)
| product(X0,b,d) ),
inference(resolution,[status(thm)],[f247,f58]) ).
fof(f2898,plain,
! [X0] :
( ~ product(h,a,X0)
| product(X0,b,d) ),
inference(resolution,[status(thm)],[f247,f57]) ).
fof(f2995,plain,
! [X0] :
( ~ product(X0,a,compose(h,a))
| h = X0 ),
inference(resolution,[status(thm)],[f187,f53]) ).
fof(f4822,plain,
product(compose(g,a),b,d),
inference(resolution,[status(thm)],[f2897,f189]) ).
fof(f4823,plain,
product(compose(h,a),b,d),
inference(resolution,[status(thm)],[f2898,f187]) ).
fof(f11527,plain,
! [X0] :
( ~ product(X0,b,d)
| compose(g,a) = X0 ),
inference(resolution,[status(thm)],[f4822,f55]) ).
fof(f16541,plain,
compose(g,a) = compose(h,a),
inference(resolution,[status(thm)],[f11527,f4823]) ).
fof(f16561,plain,
product(g,a,compose(h,a)),
inference(backward_demodulation,[status(thm)],[f16541,f189]) ).
fof(f16566,plain,
h = g,
inference(resolution,[status(thm)],[f16561,f2995]) ).
fof(f16567,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f16566,f59]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CAT004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n019.cluster.edu
% 0.11/0.34 % Model : x86_64 x86_64
% 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34 % Memory : 8042.1875MB
% 0.11/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34 % CPULimit : 300
% 0.11/0.34 % WCLimit : 300
% 0.11/0.34 % DateTime : Mon Apr 29 22:14:14 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.18/0.35 % Drodi V3.6.0
% 5.22/1.05 % Refutation found
% 5.22/1.05 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.22/1.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 5.70/1.08 % Elapsed time: 0.735141 seconds
% 5.70/1.08 % CPU time: 5.703117 seconds
% 5.70/1.08 % Total memory used: 100.028 MB
% 5.70/1.08 % Net memory used: 93.817 MB
%------------------------------------------------------------------------------