TSTP Solution File: SYN075+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 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 20:51:15 EDT 2024
% Result : Theorem 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 46 ( 7 unt; 0 def)
% Number of atoms : 134 ( 76 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 139 ( 51 ~; 62 |; 16 &)
% ( 9 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 70 ( 52 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [Z,W] :
! [X,Y] :
( big_f(X,Y)
<=> ( X = Z
& Y = W ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
? [W] :
! [Y] :
( ? [Z] :
! [X] :
( big_f(X,Y)
<=> X = Z )
<=> Y = W ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ? [W] :
! [Y] :
( ? [Z] :
! [X] :
( big_f(X,Y)
<=> X = Z )
<=> Y = W ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
? [Z,W] :
! [X,Y] :
( ( ~ big_f(X,Y)
| ( X = Z
& Y = W ) )
& ( big_f(X,Y)
| X != Z
| Y != W ) ),
inference(NNF_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
? [Z,W] :
( ! [X,Y] :
( ~ big_f(X,Y)
| ( X = Z
& Y = W ) )
& ! [X,Y] :
( big_f(X,Y)
| X != Z
| Y != W ) ),
inference(miniscoping,[status(esa)],[f4]) ).
fof(f6,plain,
( ! [X,Y] :
( ~ big_f(X,Y)
| ( X = sk0_0
& Y = sk0_1 ) )
& ! [X,Y] :
( big_f(X,Y)
| X != sk0_0
| Y != sk0_1 ) ),
inference(skolemization,[status(esa)],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| X0 = sk0_0 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| X1 = sk0_1 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f9,plain,
! [X0,X1] :
( big_f(X0,X1)
| X0 != sk0_0
| X1 != sk0_1 ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f10,plain,
! [W] :
? [Y] :
( ? [Z] :
! [X] :
( big_f(X,Y)
<=> X = Z )
<~> Y = W ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f11,plain,
! [W] :
? [Y] :
( ( ? [Z] :
! [X] :
( ( ~ big_f(X,Y)
| X = Z )
& ( big_f(X,Y)
| X != Z ) )
| Y = W )
& ( ! [Z] :
? [X] :
( ( ~ big_f(X,Y)
| X != Z )
& ( big_f(X,Y)
| X = Z ) )
| Y != W ) ),
inference(NNF_transformation,[status(esa)],[f10]) ).
fof(f12,plain,
! [W] :
? [Y] :
( ( ? [Z] :
( ! [X] :
( ~ big_f(X,Y)
| X = Z )
& ! [X] :
( big_f(X,Y)
| X != Z ) )
| Y = W )
& ( ! [Z] :
? [X] :
( ( ~ big_f(X,Y)
| X != Z )
& ( big_f(X,Y)
| X = Z ) )
| Y != W ) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f13,plain,
! [W] :
( ( ( ! [X] :
( ~ big_f(X,sk0_2(W))
| X = sk0_3(W) )
& ! [X] :
( big_f(X,sk0_2(W))
| X != sk0_3(W) ) )
| sk0_2(W) = W )
& ( ! [Z] :
( ( ~ big_f(sk0_4(Z,W),sk0_2(W))
| sk0_4(Z,W) != Z )
& ( big_f(sk0_4(Z,W),sk0_2(W))
| sk0_4(Z,W) = Z ) )
| sk0_2(W) != W ) ),
inference(skolemization,[status(esa)],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( big_f(X0,sk0_2(X1))
| X0 != sk0_3(X1)
| sk0_2(X1) = X1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f16,plain,
! [X0,X1] :
( ~ big_f(sk0_4(X0,X1),sk0_2(X1))
| sk0_4(X0,X1) != X0
| sk0_2(X1) != X1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( big_f(sk0_4(X0,X1),sk0_2(X1))
| sk0_4(X0,X1) = X0
| sk0_2(X1) != X1 ),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f18,plain,
big_f(sk0_0,sk0_1),
inference(destructive_equality_resolution,[status(esa)],[f9]) ).
fof(f19,plain,
! [X0] :
( big_f(sk0_3(X0),sk0_2(X0))
| sk0_2(X0) = X0 ),
inference(destructive_equality_resolution,[status(esa)],[f15]) ).
fof(f20,plain,
! [X0,X1] :
( sk0_4(X0,X1) = sk0_0
| sk0_4(X0,X1) = X0
| sk0_2(X1) != X1 ),
inference(resolution,[status(thm)],[f7,f17]) ).
fof(f21,plain,
! [X0] :
( sk0_3(X0) = sk0_0
| sk0_2(X0) = X0 ),
inference(resolution,[status(thm)],[f7,f19]) ).
fof(f22,plain,
! [X0] :
( big_f(sk0_0,sk0_2(X0))
| sk0_2(X0) = X0
| sk0_2(X0) = X0 ),
inference(paramodulation,[status(thm)],[f21,f19]) ).
fof(f23,plain,
! [X0] :
( big_f(sk0_0,sk0_2(X0))
| sk0_2(X0) = X0 ),
inference(duplicate_literals_removal,[status(esa)],[f22]) ).
fof(f34,plain,
! [X0,X1] :
( sk0_2(X0) != X0
| X1 != sk0_0
| sk0_4(X1,X0) = sk0_0 ),
inference(equality_factoring,[status(esa)],[f20]) ).
fof(f35,plain,
! [X0] :
( sk0_2(X0) != X0
| sk0_4(sk0_0,X0) = sk0_0 ),
inference(destructive_equality_resolution,[status(esa)],[f34]) ).
fof(f36,plain,
! [X0] :
( sk0_2(X0) = sk0_1
| sk0_2(X0) = X0 ),
inference(resolution,[status(thm)],[f8,f23]) ).
fof(f39,plain,
sk0_4(sk0_0,sk0_1) = sk0_0,
inference(resolution,[status(thm)],[f36,f35]) ).
fof(f40,plain,
( spl0_2
<=> sk0_2(sk0_1) = sk0_1 ),
introduced(split_symbol_definition) ).
fof(f42,plain,
( sk0_2(sk0_1) != sk0_1
| spl0_2 ),
inference(component_clause,[status(thm)],[f40]) ).
fof(f43,plain,
( spl0_3
<=> sk0_4(sk0_0,sk0_1) = sk0_0 ),
introduced(split_symbol_definition) ).
fof(f45,plain,
( sk0_4(sk0_0,sk0_1) != sk0_0
| spl0_3 ),
inference(component_clause,[status(thm)],[f43]) ).
fof(f75,plain,
! [X0] :
( sk0_1 != X0
| sk0_2(X0) = X0 ),
inference(equality_factoring,[status(esa)],[f36]) ).
fof(f76,plain,
sk0_2(sk0_1) = sk0_1,
inference(destructive_equality_resolution,[status(esa)],[f75]) ).
fof(f118,plain,
( spl0_11
<=> big_f(sk0_0,sk0_2(sk0_1)) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( ~ big_f(sk0_0,sk0_2(sk0_1))
| spl0_11 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f123,plain,
( ~ big_f(sk0_0,sk0_2(sk0_1))
| sk0_4(sk0_0,sk0_1) != sk0_0
| sk0_2(sk0_1) != sk0_1 ),
inference(paramodulation,[status(thm)],[f39,f16]) ).
fof(f124,plain,
( ~ spl0_11
| ~ spl0_3
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f123,f118,f43,f40]) ).
fof(f125,plain,
( ~ big_f(sk0_0,sk0_1)
| spl0_11 ),
inference(forward_demodulation,[status(thm)],[f76,f120]) ).
fof(f126,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f18]) ).
fof(f127,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( sk0_0 != sk0_0
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f39,f45]) ).
fof(f129,plain,
( $false
| spl0_3 ),
inference(trivial_equality_resolution,[status(esa)],[f128]) ).
fof(f130,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( sk0_1 != sk0_1
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f76,f42]) ).
fof(f133,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f132]) ).
fof(f134,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f133]) ).
fof(f135,plain,
$false,
inference(sat_refutation,[status(thm)],[f124,f127,f130,f134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN075+1 : TPTP v8.1.2. Released v2.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34 % Computer : n027.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 22:32:32 EDT 2024
% 0.11/0.34 % CPUTime :
% 0.11/0.35 % Drodi V3.6.0
% 0.11/0.36 % Refutation found
% 0.11/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.38 % Elapsed time: 0.021833 seconds
% 0.11/0.38 % CPU time: 0.025800 seconds
% 0.11/0.38 % Total memory used: 9.449 MB
% 0.11/0.38 % Net memory used: 9.343 MB
%------------------------------------------------------------------------------