TSTP Solution File: SYN075-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 12:45:54 EDT 2023
% Result : Unsatisfiable 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 75 ( 47 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 84 ( 41 ~; 43 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 53 (; 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ big_f(X,Y)
| X = a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( X != a
| Y != b
| big_f(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [Y,X] :
( ~ big_f(Y,f(X))
| Y != g(X)
| f(X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [Y,X] :
( Y != g(X)
| big_f(Y,f(X))
| f(X) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X,Z] :
( f(X) != X
| big_f(h(X,Z),f(X))
| h(X,Z) = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X,Z] :
( f(X) != X
| h(X,Z) != Z
| ~ big_f(h(X,Z),f(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,plain,
! [X] :
( ! [Y] : ~ big_f(X,Y)
| X = a ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f12,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| X0 = a ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f15,plain,
! [X0,X1] :
( X0 != a
| X1 != b
| big_f(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
! [X] :
( ! [Y] :
( ~ big_f(Y,f(X))
| Y != g(X) )
| f(X) = X ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f17,plain,
! [X0,X1] :
( ~ big_f(X0,f(X1))
| X0 != g(X1)
| f(X1) = X1 ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f20,plain,
! [X] :
( ! [Y] :
( Y != g(X)
| big_f(Y,f(X)) )
| f(X) = X ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1] :
( X0 != g(X1)
| big_f(X0,f(X1))
| f(X1) = X1 ),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f26,plain,
! [X0,X1] :
( f(X0) != X0
| big_f(h(X0,X1),f(X0))
| h(X0,X1) = X1 ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f27,plain,
! [X0,X1] :
( f(X0) != X0
| h(X0,X1) != X1
| ~ big_f(h(X0,X1),f(X0)) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f28,plain,
big_f(a,b),
inference(destructive_equality_resolution,[status(esa)],[f15]) ).
fof(f29,plain,
! [X0] :
( ~ big_f(g(X0),f(X0))
| f(X0) = X0 ),
inference(destructive_equality_resolution,[status(esa)],[f17]) ).
fof(f30,plain,
! [X0] :
( big_f(g(X0),f(X0))
| f(X0) = X0 ),
inference(destructive_equality_resolution,[status(esa)],[f21]) ).
fof(f33,plain,
! [X0] : f(X0) = X0,
inference(forward_subsumption_resolution,[status(thm)],[f30,f29]) ).
fof(f34,plain,
! [X0,X1] :
( X0 != X0
| big_f(h(X0,X1),f(X0))
| h(X0,X1) = X1 ),
inference(forward_demodulation,[status(thm)],[f33,f26]) ).
fof(f35,plain,
! [X0,X1] :
( X0 != X0
| big_f(h(X0,X1),X0)
| h(X0,X1) = X1 ),
inference(forward_demodulation,[status(thm)],[f33,f34]) ).
fof(f36,plain,
! [X0,X1] :
( big_f(h(X0,X1),X0)
| h(X0,X1) = X1 ),
inference(trivial_equality_resolution,[status(esa)],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( X0 != X0
| h(X0,X1) != X1
| ~ big_f(h(X0,X1),f(X0)) ),
inference(forward_demodulation,[status(thm)],[f33,f27]) ).
fof(f38,plain,
! [X0,X1] :
( X0 != X0
| h(X0,X1) != X1
| ~ big_f(h(X0,X1),X0) ),
inference(forward_demodulation,[status(thm)],[f33,f37]) ).
fof(f39,plain,
! [X0,X1] :
( h(X0,X1) != X1
| ~ big_f(h(X0,X1),X0) ),
inference(trivial_equality_resolution,[status(esa)],[f38]) ).
fof(f44,plain,
! [X0,X1] :
( h(X0,X1) = a
| h(X0,X1) = X1 ),
inference(resolution,[status(thm)],[f12,f36]) ).
fof(f52,plain,
! [X0,X1] :
( a != X0
| h(X1,X0) = X0 ),
inference(equality_factoring,[status(esa)],[f44]) ).
fof(f53,plain,
! [X0] : h(X0,a) = a,
inference(destructive_equality_resolution,[status(esa)],[f52]) ).
fof(f71,plain,
! [X0] :
( h(X0,a) != a
| ~ big_f(a,X0) ),
inference(paramodulation,[status(thm)],[f53,f39]) ).
fof(f72,plain,
! [X0] :
( a != a
| ~ big_f(a,X0) ),
inference(forward_demodulation,[status(thm)],[f53,f71]) ).
fof(f73,plain,
! [X0] : ~ big_f(a,X0),
inference(trivial_equality_resolution,[status(esa)],[f72]) ).
fof(f75,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f28,f73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN075-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:30:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.37 % Refutation found
% 0.20/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37 % Elapsed time: 0.022507 seconds
% 0.20/0.37 % CPU time: 0.030844 seconds
% 0.20/0.37 % Memory used: 11.378 MB
%------------------------------------------------------------------------------