TSTP Solution File: SWC095-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC095-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 : Unsatisfiable 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 39 ( 21 unt; 0 def)
% Number of atoms : 70 ( 20 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 59 ( 28 ~; 27 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
! [A,B,C] :
( ~ ssList(A)
| ~ ssList(B)
| ~ ssList(C)
| app(app(A,B),C) != sk1
| app(A,C) != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
ssList(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
app(app(sk5,sk6),sk7) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
app(sk5,sk7) = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f432,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f433,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f434,plain,
! [A,C] :
( ! [B] :
( ~ ssList(A)
| ~ ssList(B)
| ~ ssList(C)
| app(app(A,B),C) != sk1 )
| app(A,C) != sk2 ),
inference(miniscoping,[status(esa)],[f192]) ).
fof(f435,plain,
! [X0,X1,X2] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) != sk1
| app(X0,X2) != sk2 ),
inference(cnf_transformation,[status(esa)],[f434]) ).
fof(f436,plain,
ssList(sk5),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f437,plain,
ssList(sk6),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f438,plain,
ssList(sk7),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f439,plain,
app(app(sk5,sk6),sk7) = sk3,
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f440,plain,
app(sk5,sk7) = sk4,
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f479,plain,
app(sk5,sk7) = sk2,
inference(forward_demodulation,[status(thm)],[f432,f440]) ).
fof(f480,plain,
( spl0_2
<=> ssList(sk7) ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( ~ ssList(sk7)
| spl0_2 ),
inference(component_clause,[status(thm)],[f480]) ).
fof(f483,plain,
( spl0_3
<=> ssList(sk5) ),
introduced(split_symbol_definition) ).
fof(f485,plain,
( ~ ssList(sk5)
| spl0_3 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f491,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f436]) ).
fof(f492,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f491]) ).
fof(f493,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f438]) ).
fof(f494,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f495,plain,
app(app(sk5,sk6),sk7) = sk1,
inference(forward_demodulation,[status(thm)],[f433,f439]) ).
fof(f542,plain,
( spl0_13
<=> ssList(sk6) ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( ~ ssList(sk6)
| spl0_13 ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f560,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f437]) ).
fof(f561,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( spl0_17
<=> app(sk5,sk7) = sk2 ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( app(sk5,sk7) != sk2
| spl0_17 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( ~ ssList(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7)
| app(sk5,sk7) != sk2 ),
inference(resolution,[status(thm)],[f435,f495]) ).
fof(f566,plain,
( ~ spl0_3
| ~ spl0_13
| ~ spl0_2
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f565,f483,f542,f480,f562]) ).
fof(f582,plain,
( sk2 != sk2
| spl0_17 ),
inference(forward_demodulation,[status(thm)],[f479,f564]) ).
fof(f583,plain,
( $false
| spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f582]) ).
fof(f584,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f585,plain,
$false,
inference(sat_refutation,[status(thm)],[f492,f494,f561,f566,f584]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC095-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Apr 30 00:21:49 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.35 % Elapsed time: 0.026572 seconds
% 0.10/0.35 % CPU time: 0.030323 seconds
% 0.10/0.35 % Total memory used: 14.290 MB
% 0.10/0.35 % Net memory used: 14.270 MB
%------------------------------------------------------------------------------