TSTP Solution File: FLD050-4 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:07:02 EDT 2023
% Result : Unsatisfiable 31.16s 4.30s
% Output : CNFRefutation 31.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 18
% Syntax : Number of formulae : 62 ( 26 unt; 0 def)
% Number of atoms : 117 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 109 ( 54 ~; 51 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-1 aty)
% Number of variables : 40 (; 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X,V,W,Y,U,Z] :
( product(X,V,W)
| ~ product(X,Y,U)
| ~ product(Y,Z,V)
| ~ product(U,Z,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( product(multiplicative_identity,X,X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X] :
( product(multiplicative_inverse(X),X,multiplicative_identity)
| sum(additive_identity,X,additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [Y,X,Z] :
( product(Y,X,Z)
| ~ product(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,hypothesis,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,hypothesis,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,hypothesis,
defined(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,hypothesis,
defined(s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ sum(additive_identity,b,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
~ sum(additive_identity,d,additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
product(a,multiplicative_inverse(b),s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
product(a,d,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
product(b,c,k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
~ product(c,multiplicative_inverse(d),s),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,plain,
! [W,U,Z] :
( ! [V,Y] :
( ! [X] :
( product(X,V,W)
| ~ product(X,Y,U) )
| ~ product(Y,Z,V) )
| ~ product(U,Z,W) ),
inference(miniscoping,[status(esa)],[f6]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5] :
( product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X3,X5,X1)
| ~ product(X4,X5,X2) ),
inference(cnf_transformation,[status(esa)],[f46]) ).
fof(f50,plain,
! [X0] :
( product(multiplicative_identity,X0,X0)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f51,plain,
! [X0] :
( product(multiplicative_inverse(X0),X0,multiplicative_identity)
| sum(additive_identity,X0,additive_identity)
| ~ defined(X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f52,plain,
! [X0,X1,X2] :
( product(X0,X1,X2)
| ~ product(X1,X0,X2) ),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f79,plain,
defined(b),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f80,plain,
defined(c),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f81,plain,
defined(d),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f83,plain,
defined(s),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f84,plain,
~ sum(additive_identity,b,additive_identity),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f85,plain,
~ sum(additive_identity,d,additive_identity),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f86,plain,
product(a,multiplicative_inverse(b),s),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f87,plain,
product(a,d,k),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f88,plain,
product(b,c,k),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f89,plain,
~ product(c,multiplicative_inverse(d),s),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f333,plain,
( spl0_36
<=> product(multiplicative_inverse(d),d,multiplicative_identity) ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( product(multiplicative_inverse(d),d,multiplicative_identity)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( spl0_37
<=> sum(additive_identity,d,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( sum(additive_identity,d,additive_identity)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( product(multiplicative_inverse(d),d,multiplicative_identity)
| sum(additive_identity,d,additive_identity) ),
inference(resolution,[status(thm)],[f51,f81]) ).
fof(f340,plain,
( spl0_36
| spl0_37 ),
inference(split_clause,[status(thm)],[f339,f333,f336]) ).
fof(f349,plain,
( spl0_40
<=> product(multiplicative_inverse(b),b,multiplicative_identity) ),
introduced(split_symbol_definition) ).
fof(f350,plain,
( product(multiplicative_inverse(b),b,multiplicative_identity)
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,plain,
( spl0_41
<=> sum(additive_identity,b,additive_identity) ),
introduced(split_symbol_definition) ).
fof(f353,plain,
( sum(additive_identity,b,additive_identity)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( product(multiplicative_inverse(b),b,multiplicative_identity)
| sum(additive_identity,b,additive_identity) ),
inference(resolution,[status(thm)],[f51,f79]) ).
fof(f356,plain,
( spl0_40
| spl0_41 ),
inference(split_clause,[status(thm)],[f355,f349,f352]) ).
fof(f380,plain,
! [X0,X1,X2] :
( product(multiplicative_inverse(b),X0,X1)
| ~ product(b,X2,X0)
| ~ product(multiplicative_identity,X2,X1)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f350,f47]) ).
fof(f384,plain,
! [X0,X1,X2] :
( product(multiplicative_inverse(d),X0,X1)
| ~ product(d,X2,X0)
| ~ product(multiplicative_identity,X2,X1)
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f334,f47]) ).
fof(f442,plain,
product(d,a,k),
inference(resolution,[status(thm)],[f52,f87]) ).
fof(f458,plain,
! [X0,X1,X2] :
( product(d,X0,X1)
| ~ product(a,X2,X0)
| ~ product(k,X2,X1) ),
inference(resolution,[status(thm)],[f442,f47]) ).
fof(f547,plain,
product(multiplicative_identity,s,s),
inference(resolution,[status(thm)],[f50,f83]) ).
fof(f550,plain,
product(multiplicative_identity,c,c),
inference(resolution,[status(thm)],[f50,f80]) ).
fof(f765,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f353,f84]) ).
fof(f766,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f765]) ).
fof(f767,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f85]) ).
fof(f768,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f767]) ).
fof(f1009,plain,
! [X0] :
( product(multiplicative_inverse(b),k,X0)
| ~ product(multiplicative_identity,c,X0)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f380,f88]) ).
fof(f2166,plain,
! [X0] :
( product(d,s,X0)
| ~ product(k,multiplicative_inverse(b),X0) ),
inference(resolution,[status(thm)],[f458,f86]) ).
fof(f2976,plain,
( product(multiplicative_inverse(b),k,c)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f1009,f550]) ).
fof(f2980,plain,
( product(k,multiplicative_inverse(b),c)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f2976,f52]) ).
fof(f3862,plain,
( product(d,s,c)
| ~ spl0_40 ),
inference(resolution,[status(thm)],[f2166,f2980]) ).
fof(f5228,plain,
! [X0] :
( product(multiplicative_inverse(d),c,X0)
| ~ product(multiplicative_identity,s,X0)
| ~ spl0_40
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f3862,f384]) ).
fof(f11165,plain,
( product(multiplicative_inverse(d),c,s)
| ~ spl0_40
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f5228,f547]) ).
fof(f11168,plain,
( product(c,multiplicative_inverse(d),s)
| ~ spl0_40
| ~ spl0_36 ),
inference(resolution,[status(thm)],[f11165,f52]) ).
fof(f11169,plain,
( $false
| ~ spl0_40
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f11168,f89]) ).
fof(f11170,plain,
( ~ spl0_40
| ~ spl0_36 ),
inference(contradiction_clause,[status(thm)],[f11169]) ).
fof(f11171,plain,
$false,
inference(sat_refutation,[status(thm)],[f340,f356,f766,f768,f11170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n014.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 10:58:33 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.06/0.26 % Drodi V3.5.1
% 31.16/4.30 % Refutation found
% 31.16/4.30 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 31.16/4.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 31.64/4.36 % Elapsed time: 4.082589 seconds
% 31.64/4.36 % CPU time: 31.973409 seconds
% 31.64/4.36 % Memory used: 112.949 MB
%------------------------------------------------------------------------------