TSTP Solution File: SWC086-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC086-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 20:44:28 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 63 ( 16 unt; 0 def)
% Number of atoms : 126 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 119 ( 56 ~; 55 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 9 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(f57,axiom,
! [U] :
( ~ ssList(U)
| segmentP(U,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(f187,negated_conjecture,
ssList(sk2),
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,
! [A] :
( ~ ssList(A)
| ~ neq(A,nil)
| ~ segmentP(sk2,A)
| ~ segmentP(sk1,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( nil = sk4
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( nil = sk4
| segmentP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f205,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f254,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
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(f429,plain,
ssList(sk2),
inference(cnf_transformation,[status(esa)],[f187]) ).
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,
! [X0] :
( ~ ssList(X0)
| ~ neq(X0,nil)
| ~ segmentP(sk2,X0)
| ~ segmentP(sk1,X0) ),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f436,plain,
( nil = sk4
| neq(sk3,nil) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f437,plain,
( nil = sk4
| segmentP(sk4,sk3) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
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(f454,plain,
( spl0_4
<=> segmentP(sk4,sk3) ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( segmentP(sk4,sk3)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( spl0_2
| spl0_4 ),
inference(split_clause,[status(thm)],[f437,f447,f454]) ).
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(f515,plain,
( nil = sk2
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f432,f448]) ).
fof(f516,plain,
( neq(nil,nil)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f515,f434]) ).
fof(f520,plain,
( ~ ssList(nil)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f516,f471]) ).
fof(f521,plain,
( ~ spl0_6
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f520,f494,f447]) ).
fof(f541,plain,
( segmentP(sk4,sk1)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f433,f455]) ).
fof(f542,plain,
( neq(sk1,nil)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f433,f451]) ).
fof(f546,plain,
( spl0_14
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f548,plain,
( ~ ssList(sk1)
| spl0_14 ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f555,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f428,f548]) ).
fof(f556,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f561,plain,
( segmentP(sk2,sk1)
| ~ spl0_4 ),
inference(backward_demodulation,[status(thm)],[f432,f541]) ).
fof(f566,plain,
( spl0_17
<=> ssList(sk2) ),
introduced(split_symbol_definition) ).
fof(f568,plain,
( ~ ssList(sk2)
| spl0_17 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f574,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f429,f568]) ).
fof(f575,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( spl0_19
<=> segmentP(sk2,sk1) ),
introduced(split_symbol_definition) ).
fof(f579,plain,
( ~ segmentP(sk2,sk1)
| spl0_19 ),
inference(component_clause,[status(thm)],[f577]) ).
fof(f580,plain,
( spl0_20
<=> segmentP(sk1,sk1) ),
introduced(split_symbol_definition) ).
fof(f582,plain,
( ~ segmentP(sk1,sk1)
| spl0_20 ),
inference(component_clause,[status(thm)],[f580]) ).
fof(f583,plain,
( ~ ssList(sk1)
| ~ segmentP(sk2,sk1)
| ~ segmentP(sk1,sk1)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f435,f542]) ).
fof(f584,plain,
( ~ spl0_14
| ~ spl0_19
| ~ spl0_20
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f583,f546,f577,f580,f450]) ).
fof(f598,plain,
( $false
| ~ spl0_4
| spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f579,f561]) ).
fof(f599,plain,
( ~ spl0_4
| spl0_19 ),
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f601,plain,
( ~ ssList(sk1)
| spl0_20 ),
inference(resolution,[status(thm)],[f582,f254]) ).
fof(f602,plain,
( ~ spl0_14
| spl0_20 ),
inference(split_clause,[status(thm)],[f601,f546,f580]) ).
fof(f603,plain,
$false,
inference(sat_refutation,[status(thm)],[f453,f457,f505,f521,f556,f575,f584,f599,f602]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWC086-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Apr 30 00:01:36 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.026391 seconds
% 0.13/0.37 % CPU time: 0.044522 seconds
% 0.13/0.37 % Total memory used: 14.347 MB
% 0.13/0.37 % Net memory used: 14.324 MB
%------------------------------------------------------------------------------