TSTP Solution File: GEO474+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO474+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:08:59 EDT 2023
% Result : Theorem 9.04s 2.47s
% Output : CNFRefutation 10.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 7 |; 2 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 31 (; 29 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,axiom,
! [N0] : s(num,i(s(fun(num,num),numeral),s(num,N0))) = s(num,N0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3502,axiom,
! [M,N,A5] :
( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))
<=> s(cart(cart(real,M),N),A5) = s(cart(cart(real,M),N),i(s(fun(num,cart(cart(real,M),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3503,conjecture,
! [Q133117,Q133118] : s(num,i(s(fun(cart(cart(real,Q133117),Q133118),num),rank),s(cart(cart(real,Q133117),Q133118),i(s(fun(num,cart(cart(real,Q133117),Q133118)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3504,negated_conjecture,
~ ! [Q133117,Q133118] : s(num,i(s(fun(cart(cart(real,Q133117),Q133118),num),rank),s(cart(cart(real,Q133117),Q133118),i(s(fun(num,cart(cart(real,Q133117),Q133118)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) = s(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(negated_conjecture,[status(cth)],[f3503]) ).
fof(f4521,plain,
! [X0] : s(num,i(s(fun(num,num),numeral),s(num,X0))) = s(num,X0),
inference(cnf_transformation,[status(esa)],[f200]) ).
fof(f15465,plain,
! [M,N,A5] :
( ( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) != s(num,i(s(fun(num,num),numeral),s(num,u_0)))
| s(cart(cart(real,M),N),A5) = s(cart(cart(real,M),N),i(s(fun(num,cart(cart(real,M),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )
& ( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))
| s(cart(cart(real,M),N),A5) != s(cart(cart(real,M),N),i(s(fun(num,cart(cart(real,M),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ),
inference(NNF_transformation,[status(esa)],[f3502]) ).
fof(f15466,plain,
( ! [M,N,A5] :
( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) != s(num,i(s(fun(num,num),numeral),s(num,u_0)))
| s(cart(cart(real,M),N),A5) = s(cart(cart(real,M),N),i(s(fun(num,cart(cart(real,M),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) )
& ! [M,N,A5] :
( s(num,i(s(fun(cart(cart(real,M),N),num),rank),s(cart(cart(real,M),N),A5))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))
| s(cart(cart(real,M),N),A5) != s(cart(cart(real,M),N),i(s(fun(num,cart(cart(real,M),N)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ) ),
inference(miniscoping,[status(esa)],[f15465]) ).
fof(f15468,plain,
! [X0,X1,X2] :
( s(num,i(s(fun(cart(cart(real,X0),X1),num),rank),s(cart(cart(real,X0),X1),X2))) = s(num,i(s(fun(num,num),numeral),s(num,u_0)))
| s(cart(cart(real,X0),X1),X2) != s(cart(cart(real,X0),X1),i(s(fun(num,cart(cart(real,X0),X1)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(cnf_transformation,[status(esa)],[f15466]) ).
fof(f15469,plain,
? [Q133117,Q133118] : s(num,i(s(fun(cart(cart(real,Q133117),Q133118),num),rank),s(cart(cart(real,Q133117),Q133118),i(s(fun(num,cart(cart(real,Q133117),Q133118)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(pre_NNF_transformation,[status(esa)],[f3504]) ).
fof(f15470,plain,
s(num,i(s(fun(cart(cart(real,sk0_3705),sk0_3706),num),rank),s(cart(cart(real,sk0_3705),sk0_3706),i(s(fun(num,cart(cart(real,sk0_3705),sk0_3706)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(skolemization,[status(esa)],[f15469]) ).
fof(f15471,plain,
s(num,i(s(fun(cart(cart(real,sk0_3705),sk0_3706),num),rank),s(cart(cart(real,sk0_3705),sk0_3706),i(s(fun(num,cart(cart(real,sk0_3705),sk0_3706)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(num,i(s(fun(num,num),numeral),s(num,u_0))),
inference(cnf_transformation,[status(esa)],[f15470]) ).
fof(f18151,plain,
s(num,i(s(fun(cart(cart(real,sk0_3705),sk0_3706),num),rank),s(cart(cart(real,sk0_3705),sk0_3706),i(s(fun(num,cart(cart(real,sk0_3705),sk0_3706)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))))) != s(num,u_0),
inference(backward_demodulation,[status(thm)],[f4521,f15471]) ).
fof(f18152,plain,
s(num,i(s(fun(cart(cart(real,sk0_3705),sk0_3706),num),rank),s(cart(cart(real,sk0_3705),sk0_3706),i(s(fun(num,cart(cart(real,sk0_3705),sk0_3706)),mat),s(num,u_0))))) != s(num,u_0),
inference(forward_demodulation,[status(thm)],[f4521,f18151]) ).
fof(f18180,plain,
! [X0,X1,X2] :
( s(num,i(s(fun(cart(cart(real,X0),X1),num),rank),s(cart(cart(real,X0),X1),X2))) = s(num,u_0)
| s(cart(cart(real,X0),X1),X2) != s(cart(cart(real,X0),X1),i(s(fun(num,cart(cart(real,X0),X1)),mat),s(num,i(s(fun(num,num),numeral),s(num,u_0))))) ),
inference(forward_demodulation,[status(thm)],[f4521,f15468]) ).
fof(f18181,plain,
! [X0,X1,X2] :
( s(num,i(s(fun(cart(cart(real,X0),X1),num),rank),s(cart(cart(real,X0),X1),X2))) = s(num,u_0)
| s(cart(cart(real,X0),X1),X2) != s(cart(cart(real,X0),X1),i(s(fun(num,cart(cart(real,X0),X1)),mat),s(num,u_0))) ),
inference(forward_demodulation,[status(thm)],[f4521,f18180]) ).
fof(f18182,plain,
! [X0,X1] : s(num,i(s(fun(cart(cart(real,X0),X1),num),rank),s(cart(cart(real,X0),X1),i(s(fun(num,cart(cart(real,X0),X1)),mat),s(num,u_0))))) = s(num,u_0),
inference(equality_resolution,[status(esa)],[f18181]) ).
fof(f18183,plain,
s(num,u_0) != s(num,u_0),
inference(backward_demodulation,[status(thm)],[f18182,f18152]) ).
fof(f18184,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f18183]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO474+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:57:07 EDT 2023
% 0.14/0.34 % CPUTime :
% 1.12/1.37 % Drodi V3.5.1
% 9.04/2.47 % Refutation found
% 9.04/2.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 9.04/2.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 10.78/2.71 % Elapsed time: 2.354437 seconds
% 10.78/2.71 % CPU time: 9.980037 seconds
% 10.78/2.71 % Memory used: 1.472 GB
%------------------------------------------------------------------------------