TSTP Solution File: SWC051-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC051-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 20:44:19 EDT 2024
% Result : Unsatisfiable 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 45 ( 11 unt; 0 def)
% Number of atoms : 88 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 38 ~; 37 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 7 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 4 ( 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,axiom,
! [U] :
( ~ ssList(U)
| rearsegP(U,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
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,
neq(sk2,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
! [A] :
( ~ ssList(A)
| ~ neq(A,nil)
| ~ rearsegP(sk2,A)
| ~ rearsegP(sk1,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f255,plain,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f427,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f431,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f432,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f433,plain,
neq(sk2,nil),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f434,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ rearsegP(sk2,X0)
| ~ rearsegP(sk1,X0) ),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f436,plain,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f437,plain,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk3) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f452,plain,
( spl0_4
<=> neq(sk4,nil) ),
introduced(split_symbol_definition) ).
fof(f454,plain,
( ~ neq(sk4,nil)
| spl0_4 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( spl0_5
<=> neq(sk3,nil) ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( neq(sk3,nil)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( ~ spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f436,f452,f455]) ).
fof(f459,plain,
( spl0_6
<=> rearsegP(sk4,sk3) ),
introduced(split_symbol_definition) ).
fof(f460,plain,
( rearsegP(sk4,sk3)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( ~ spl0_4
| spl0_6 ),
inference(split_clause,[status(thm)],[f437,f452,f459]) ).
fof(f513,plain,
( ~ neq(sk2,nil)
| spl0_4 ),
inference(forward_demodulation,[status(thm)],[f431,f454]) ).
fof(f514,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f433]) ).
fof(f515,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( neq(sk1,nil)
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f432,f456]) ).
fof(f517,plain,
( rearsegP(sk2,sk3)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f431,f460]) ).
fof(f518,plain,
( rearsegP(sk2,sk1)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f432,f517]) ).
fof(f523,plain,
( spl0_11
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f525,plain,
( ~ ssList(sk1)
| spl0_11 ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f536,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f427]) ).
fof(f537,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f545,plain,
( spl0_14
<=> rearsegP(sk2,sk1) ),
introduced(split_symbol_definition) ).
fof(f547,plain,
( ~ rearsegP(sk2,sk1)
| spl0_14 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( spl0_15
<=> rearsegP(sk1,sk1) ),
introduced(split_symbol_definition) ).
fof(f550,plain,
( ~ rearsegP(sk1,sk1)
| spl0_15 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( ~ ssList(sk1)
| ~ rearsegP(sk2,sk1)
| ~ rearsegP(sk1,sk1)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f434,f516]) ).
fof(f552,plain,
( ~ spl0_11
| ~ spl0_14
| ~ spl0_15
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f551,f523,f545,f548,f455]) ).
fof(f571,plain,
( $false
| ~ spl0_6
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f547,f518]) ).
fof(f572,plain,
( ~ spl0_6
| spl0_14 ),
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( ~ ssList(sk1)
| spl0_15 ),
inference(resolution,[status(thm)],[f550,f255]) ).
fof(f575,plain,
( ~ spl0_11
| spl0_15 ),
inference(split_clause,[status(thm)],[f574,f523,f548]) ).
fof(f576,plain,
$false,
inference(sat_refutation,[status(thm)],[f458,f462,f515,f537,f552,f572,f575]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWC051-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n025.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Apr 30 00:16:11 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.35 % Elapsed time: 0.026268 seconds
% 0.15/0.35 % CPU time: 0.032960 seconds
% 0.15/0.35 % Total memory used: 14.330 MB
% 0.15/0.35 % Net memory used: 14.306 MB
%------------------------------------------------------------------------------