TSTP Solution File: SWC094+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC094+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 20:44:29 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 101 ( 44 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 109 ( 41 ~; 35 |; 22 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 34 ( 24 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f84,axiom,
! [U] :
( ssList(U)
=> app(U,nil) = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| X != W
| ? [Y] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& app(app(Y,Z),X1) = U
& app(Y,X1) = V ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( V != X
| U != W
| X != W
| ? [Y] :
( ssList(Y)
& ? [Z] :
( ssList(Z)
& ? [X1] :
( ssList(X1)
& app(app(Y,Z),X1) = U
& app(Y,X1) = V ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f223,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f388,plain,
! [U] :
( ~ ssList(U)
| app(U,nil) = U ),
inference(pre_NNF_transformation,[status(esa)],[f84]) ).
fof(f389,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[status(esa)],[f388]) ).
fof(f415,plain,
? [U] :
( ssList(U)
& ? [V] :
( ssList(V)
& ? [W] :
( ssList(W)
& ? [X] :
( ssList(X)
& V = X
& U = W
& X = W
& ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| ! [X1] :
( ~ ssList(X1)
| app(app(Y,Z),X1) != U
| app(Y,X1) != V ) ) ) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f97]) ).
fof(f416,plain,
( ssList(sk0_47)
& ssList(sk0_48)
& ssList(sk0_49)
& ssList(sk0_50)
& sk0_48 = sk0_50
& sk0_47 = sk0_49
& sk0_50 = sk0_49
& ! [Y] :
( ~ ssList(Y)
| ! [Z] :
( ~ ssList(Z)
| ! [X1] :
( ~ ssList(X1)
| app(app(Y,Z),X1) != sk0_47
| app(Y,X1) != sk0_48 ) ) ) ),
inference(skolemization,[status(esa)],[f415]) ).
fof(f417,plain,
ssList(sk0_47),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f421,plain,
sk0_48 = sk0_50,
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f422,plain,
sk0_47 = sk0_49,
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f423,plain,
sk0_50 = sk0_49,
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f424,plain,
! [X0,X1,X2] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk0_47
| app(X0,X2) != sk0_48 ),
inference(cnf_transformation,[status(esa)],[f416]) ).
fof(f457,plain,
sk0_48 = sk0_49,
inference(forward_demodulation,[status(thm)],[f421,f423]) ).
fof(f458,plain,
sk0_48 = sk0_47,
inference(forward_demodulation,[status(thm)],[f422,f457]) ).
fof(f462,plain,
app(sk0_47,nil) = sk0_47,
inference(resolution,[status(thm)],[f389,f417]) ).
fof(f518,plain,
! [X0,X1,X2] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk0_47
| app(X0,X2) != sk0_47 ),
inference(forward_demodulation,[status(thm)],[f458,f424]) ).
fof(f519,plain,
! [X0] :
( ~ ssList(X0)
| app(app(X0,nil),nil) != sk0_47
| app(X0,nil) != sk0_47 ),
inference(resolution,[status(thm)],[f518,f223]) ).
fof(f983,plain,
( spl0_34
<=> app(app(sk0_47,nil),nil) = sk0_47 ),
introduced(split_symbol_definition) ).
fof(f985,plain,
( app(app(sk0_47,nil),nil) != sk0_47
| spl0_34 ),
inference(component_clause,[status(thm)],[f983]) ).
fof(f986,plain,
( spl0_35
<=> app(sk0_47,nil) = sk0_47 ),
introduced(split_symbol_definition) ).
fof(f988,plain,
( app(sk0_47,nil) != sk0_47
| spl0_35 ),
inference(component_clause,[status(thm)],[f986]) ).
fof(f989,plain,
( app(app(sk0_47,nil),nil) != sk0_47
| app(sk0_47,nil) != sk0_47 ),
inference(resolution,[status(thm)],[f519,f417]) ).
fof(f990,plain,
( ~ spl0_34
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f989,f983,f986]) ).
fof(f1001,plain,
( app(sk0_47,nil) != sk0_47
| spl0_34 ),
inference(forward_demodulation,[status(thm)],[f462,f985]) ).
fof(f1002,plain,
( sk0_47 != sk0_47
| spl0_34 ),
inference(forward_demodulation,[status(thm)],[f462,f1001]) ).
fof(f1003,plain,
( $false
| spl0_34 ),
inference(trivial_equality_resolution,[status(esa)],[f1002]) ).
fof(f1004,plain,
spl0_34,
inference(contradiction_clause,[status(thm)],[f1003]) ).
fof(f1012,plain,
( sk0_47 != sk0_47
| spl0_35 ),
inference(forward_demodulation,[status(thm)],[f462,f988]) ).
fof(f1013,plain,
( $false
| spl0_35 ),
inference(trivial_equality_resolution,[status(esa)],[f1012]) ).
fof(f1014,plain,
spl0_35,
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1015,plain,
$false,
inference(sat_refutation,[status(thm)],[f990,f1004,f1014]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC094+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 : Mon Apr 29 23:55:41 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.39 % Elapsed time: 0.039919 seconds
% 0.13/0.39 % CPU time: 0.173843 seconds
% 0.13/0.39 % Total memory used: 36.478 MB
% 0.13/0.39 % Net memory used: 36.350 MB
%------------------------------------------------------------------------------