TSTP Solution File: SWC208-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC208-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.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 12:39:40 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 15 unt; 0 def)
% Number of atoms : 95 ( 18 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 95 ( 47 ~; 43 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 (; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| V = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f115,axiom,
! [U,V] :
( U != V
| ~ neq(U,V)
| ~ ssList(V)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f300,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f318,plain,
! [U] :
( ! [V] :
( U != V
| ~ neq(U,V)
| ~ ssList(V) )
| ~ ssList(U) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f319,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f318]) ).
fof(f428,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
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,
neq(sk2,nil),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f435,plain,
~ neq(sk1,nil),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f436,plain,
( nil = sk4
| neq(sk3,nil) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f447,plain,
( spl0_2
<=> nil = sk4 ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( nil = sk4
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,plain,
( spl0_3
<=> neq(sk3,nil) ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( neq(sk3,nil)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f436,f447,f450]) ).
fof(f470,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(destructive_equality_resolution,[status(esa)],[f319]) ).
fof(f471,plain,
! [X0] :
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f470]) ).
fof(f494,plain,
( spl0_6
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f496,plain,
( ~ ssList(nil)
| spl0_6 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f504,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f205]) ).
fof(f505,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f506,plain,
( spl0_8
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f508,plain,
( ~ ssList(sk1)
| spl0_8 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_9
<=> sk1 = nil ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( sk1 = nil
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( ~ ssList(nil)
| ~ ssList(sk1)
| sk1 = nil ),
inference(resolution,[status(thm)],[f300,f435]) ).
fof(f513,plain,
( ~ spl0_6
| ~ spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f512,f494,f506,f509]) ).
fof(f514,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f428]) ).
fof(f515,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f528,plain,
( nil = sk2
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f432,f448]) ).
fof(f529,plain,
( neq(nil,nil)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f528,f434]) ).
fof(f543,plain,
( nil = sk3
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f510,f433]) ).
fof(f545,plain,
( neq(nil,nil)
| ~ spl0_9
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f543,f451]) ).
fof(f547,plain,
( ~ ssList(nil)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f545,f471]) ).
fof(f548,plain,
( ~ spl0_6
| ~ spl0_9
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f547,f494,f509,f450]) ).
fof(f556,plain,
( ~ ssList(nil)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f529,f471]) ).
fof(f557,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f556,f494,f447]) ).
fof(f558,plain,
$false,
inference(sat_refutation,[status(thm)],[f453,f505,f513,f515,f548,f557]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC208-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n002.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 : Tue May 30 11:38:58 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.38 % Elapsed time: 0.030676 seconds
% 0.19/0.38 % CPU time: 0.049213 seconds
% 0.19/0.38 % Memory used: 17.978 MB
%------------------------------------------------------------------------------