TSTP Solution File: CAT006-3 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:13:18 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 13 unt; 0 def)
% Number of atoms : 49 ( 14 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 16 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X] :
( ~ there_exists(codomain(X))
| there_exists(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( ~ there_exists(compose(X,Y))
| domain(X) = codomain(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : compose(X,domain(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y] :
( ~ there_exists(compose(X,Y))
| there_exists(codomain(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
there_exists(compose(d,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
! [X] :
( ~ there_exists(compose(d,X))
| compose(d,X) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
codomain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,plain,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f30,plain,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f33,plain,
! [X0] : compose(X0,domain(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f38,plain,
! [X] :
( ! [Y] : ~ there_exists(compose(X,Y))
| there_exists(codomain(X)) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f39,plain,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(codomain(X0)) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f43,plain,
there_exists(compose(d,a)),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f45,plain,
! [X0] :
( ~ there_exists(compose(d,X0))
| compose(d,X0) = X0 ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f46,plain,
codomain(a) != d,
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f50,plain,
there_exists(codomain(d)),
inference(resolution,[status(thm)],[f39,f43]) ).
fof(f52,plain,
domain(d) = codomain(a),
inference(resolution,[status(thm)],[f30,f43]) ).
fof(f54,plain,
there_exists(d),
inference(resolution,[status(thm)],[f50,f27]) ).
fof(f55,plain,
domain(d) != d,
inference(backward_demodulation,[status(thm)],[f52,f46]) ).
fof(f83,plain,
( spl0_4
<=> there_exists(d) ),
introduced(split_symbol_definition) ).
fof(f85,plain,
( ~ there_exists(d)
| spl0_4 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f91,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f85,f54]) ).
fof(f92,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f91]) ).
fof(f118,plain,
( spl0_10
<=> compose(d,domain(d)) = domain(d) ),
introduced(split_symbol_definition) ).
fof(f119,plain,
( compose(d,domain(d)) = domain(d)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( ~ there_exists(d)
| compose(d,domain(d)) = domain(d) ),
inference(paramodulation,[status(thm)],[f33,f45]) ).
fof(f122,plain,
( ~ spl0_4
| spl0_10 ),
inference(split_clause,[status(thm)],[f121,f83,f118]) ).
fof(f125,plain,
( d = domain(d)
| ~ spl0_10 ),
inference(forward_demodulation,[status(thm)],[f33,f119]) ).
fof(f126,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f55]) ).
fof(f127,plain,
~ spl0_10,
inference(contradiction_clause,[status(thm)],[f126]) ).
fof(f128,plain,
$false,
inference(sat_refutation,[status(thm)],[f92,f122,f127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CAT006-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 22:42:02 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.022257 seconds
% 0.13/0.38 % CPU time: 0.030786 seconds
% 0.13/0.38 % Total memory used: 12.799 MB
% 0.13/0.38 % Net memory used: 12.716 MB
%------------------------------------------------------------------------------