TSTP Solution File: SWC369-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC369-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:45:31 EDT 2024
% Result : Unsatisfiable 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 16
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 106 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 97 ( 45 ~; 45 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( ~ ssList(U)
| segmentP(U,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| V = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f187,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
~ segmentP(sk2,sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f203,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f251,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f298,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f427,plain,
ssList(sk2),
inference(cnf_transformation,[status(esa)],[f187]) ).
fof(f430,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f431,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f432,plain,
~ segmentP(sk2,sk1),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f433,plain,
( nil = sk3
| nil != sk4 ),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f435,plain,
( ~ neq(sk4,nil)
| segmentP(sk4,sk3) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f443,plain,
( spl0_2
<=> nil = sk3 ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( nil = sk3
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( spl0_3
<=> nil = sk4 ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( nil != sk4
| spl0_3 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f433,f443,f446]) ).
fof(f450,plain,
( spl0_4
<=> neq(sk4,nil) ),
introduced(split_symbol_definition) ).
fof(f452,plain,
( ~ neq(sk4,nil)
| spl0_4 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f457,plain,
( spl0_6
<=> segmentP(sk4,sk3) ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( segmentP(sk4,sk3)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( ~ spl0_4
| spl0_6 ),
inference(split_clause,[status(thm)],[f435,f450,f457]) ).
fof(f492,plain,
( spl0_7
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f494,plain,
( ~ ssList(nil)
| spl0_7 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f502,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f494,f203]) ).
fof(f503,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f510,plain,
( nil != sk2
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f430,f448]) ).
fof(f511,plain,
( ~ neq(sk2,nil)
| spl0_4 ),
inference(forward_demodulation,[status(thm)],[f430,f452]) ).
fof(f518,plain,
( spl0_12
<=> sk2 = nil ),
introduced(split_symbol_definition) ).
fof(f519,plain,
( sk2 = nil
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f523,plain,
( spl0_13
<=> ssList(sk2) ),
introduced(split_symbol_definition) ).
fof(f525,plain,
( ~ ssList(sk2)
| spl0_13 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| sk2 = nil
| spl0_4 ),
inference(resolution,[status(thm)],[f511,f298]) ).
fof(f527,plain,
( ~ spl0_7
| ~ spl0_13
| spl0_12
| spl0_4 ),
inference(split_clause,[status(thm)],[f526,f492,f523,f518,f450]) ).
fof(f528,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f427]) ).
fof(f529,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( segmentP(sk2,sk3)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f430,f458]) ).
fof(f532,plain,
( segmentP(sk2,sk1)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f431,f531]) ).
fof(f533,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f432]) ).
fof(f534,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f533]) ).
fof(f535,plain,
( $false
| spl0_3
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f510]) ).
fof(f536,plain,
( spl0_3
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f535]) ).
fof(f539,plain,
( nil = sk1
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f431,f444]) ).
fof(f541,plain,
( ~ segmentP(sk2,nil)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f539,f432]) ).
fof(f551,plain,
( ~ segmentP(nil,nil)
| ~ spl0_12
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f519,f541]) ).
fof(f552,plain,
( ~ ssList(nil)
| ~ spl0_12
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f551,f251]) ).
fof(f553,plain,
( ~ spl0_7
| ~ spl0_12
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f552,f492,f518,f443]) ).
fof(f556,plain,
$false,
inference(sat_refutation,[status(thm)],[f449,f460,f503,f527,f529,f534,f536,f553]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SWC369-1 : TPTP v8.1.2. Released v2.4.0.
% 0.02/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n005.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 00:04:26 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.34 % 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
% 0.10/0.36 % Elapsed time: 0.023731 seconds
% 0.10/0.36 % CPU time: 0.035071 seconds
% 0.10/0.36 % Total memory used: 14.298 MB
% 0.10/0.36 % Net memory used: 14.272 MB
%------------------------------------------------------------------------------