TSTP Solution File: SWC348-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC348-1 : 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 : Wed May 31 12:40:08 EDT 2023
% Result : Unsatisfiable 28.40s 4.01s
% Output : CNFRefutation 28.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 26
% Syntax : Number of formulae : 83 ( 23 unt; 0 def)
% Number of atoms : 171 ( 21 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 157 ( 69 ~; 77 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 18 (; 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [U] : ssItem(skaf44(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [U] :
( ~ ssList(U)
| segmentP(U,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [U] :
( ~ ssItem(U)
| strictorderedP(cons(U,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(f101,axiom,
! [U] :
( ~ singletonP(U)
| ~ ssList(U)
| cons(skaf44(U),nil) = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f127,axiom,
! [U,V] :
( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| V = 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,
segmentP(sk4,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( ~ segmentP(sk2,sk1)
| ~ strictorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,plain,
strictorderedP(nil),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f202,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f241,plain,
! [X0] : ssItem(skaf44(X0)),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f250,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(cnf_transformation,[status(esa)],[f56]) ).
fof(f260,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f297,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f298,plain,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f334,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f127]) ).
fof(f425,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f426,plain,
ssList(sk2),
inference(cnf_transformation,[status(esa)],[f187]) ).
fof(f429,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f430,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f431,plain,
segmentP(sk4,sk3),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f432,plain,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f433,plain,
( ~ segmentP(sk2,sk1)
| ~ strictorderedP(sk1) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f441,plain,
( spl0_2
<=> singletonP(sk3) ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( singletonP(sk3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( spl0_3
<=> neq(sk4,nil) ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( ~ neq(sk4,nil)
| spl0_3 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f432,f441,f444]) ).
fof(f448,plain,
( spl0_4
<=> segmentP(sk2,sk1) ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( ~ segmentP(sk2,sk1)
| spl0_4 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( spl0_5
<=> strictorderedP(sk1) ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( ~ strictorderedP(sk1)
| spl0_5 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f433,f448,f451]) ).
fof(f486,plain,
segmentP(sk2,sk3),
inference(forward_demodulation,[status(thm)],[f429,f431]) ).
fof(f487,plain,
segmentP(sk2,sk1),
inference(forward_demodulation,[status(thm)],[f430,f486]) ).
fof(f488,plain,
( spl0_6
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( ~ ssList(nil)
| spl0_6 ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f498,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f202]) ).
fof(f499,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f518,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f487]) ).
fof(f519,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( ~ neq(sk2,nil)
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f429,f446]) ).
fof(f526,plain,
! [X0] :
( ~ segmentP(X0,sk1)
| ~ segmentP(sk1,X0)
| ~ ssList(X0)
| sk1 = X0 ),
inference(resolution,[status(thm)],[f334,f425]) ).
fof(f544,plain,
( spl0_11
<=> segmentP(nil,sk1) ),
introduced(split_symbol_definition) ).
fof(f546,plain,
( ~ segmentP(nil,sk1)
| spl0_11 ),
inference(component_clause,[status(thm)],[f544]) ).
fof(f547,plain,
( spl0_12
<=> sk1 = nil ),
introduced(split_symbol_definition) ).
fof(f548,plain,
( sk1 = nil
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( spl0_13
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f552,plain,
( ~ ssList(sk1)
| spl0_13 ),
inference(component_clause,[status(thm)],[f550]) ).
fof(f553,plain,
( ~ segmentP(nil,sk1)
| ~ ssList(nil)
| sk1 = nil
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[f526,f250]) ).
fof(f554,plain,
( ~ spl0_11
| ~ spl0_6
| spl0_12
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f553,f544,f488,f547,f550]) ).
fof(f566,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f552,f425]) ).
fof(f567,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f566]) ).
fof(f597,plain,
! [X0] :
( ~ ssList(X0)
| neq(sk2,X0)
| sk2 = X0 ),
inference(resolution,[status(thm)],[f297,f426]) ).
fof(f599,plain,
( spl0_19
<=> sk2 = nil ),
introduced(split_symbol_definition) ).
fof(f600,plain,
( sk2 = nil
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ ssList(nil)
| sk2 = nil
| spl0_3 ),
inference(resolution,[status(thm)],[f597,f520]) ).
fof(f603,plain,
( ~ spl0_6
| spl0_19
| spl0_3 ),
inference(split_clause,[status(thm)],[f602,f488,f599,f444]) ).
fof(f606,plain,
( singletonP(sk1)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f430,f442]) ).
fof(f625,plain,
( segmentP(nil,sk1)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f600,f487]) ).
fof(f626,plain,
( $false
| spl0_11
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f625,f546]) ).
fof(f627,plain,
( spl0_11
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f626]) ).
fof(f820,plain,
( ~ strictorderedP(nil)
| ~ spl0_12
| spl0_5 ),
inference(backward_demodulation,[status(thm)],[f548,f453]) ).
fof(f821,plain,
( $false
| ~ spl0_12
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f820,f197]) ).
fof(f822,plain,
( ~ spl0_12
| spl0_5 ),
inference(contradiction_clause,[status(thm)],[f821]) ).
fof(f8613,plain,
( spl0_338
<=> cons(skaf44(sk1),nil) = sk1 ),
introduced(split_symbol_definition) ).
fof(f8614,plain,
( cons(skaf44(sk1),nil) = sk1
| ~ spl0_338 ),
inference(component_clause,[status(thm)],[f8613]) ).
fof(f8616,plain,
( ~ ssList(sk1)
| cons(skaf44(sk1),nil) = sk1
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f298,f606]) ).
fof(f8617,plain,
( ~ spl0_13
| spl0_338
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f8616,f550,f8613,f441]) ).
fof(f8755,plain,
( spl0_346
<=> ssItem(skaf44(sk1)) ),
introduced(split_symbol_definition) ).
fof(f8757,plain,
( ~ ssItem(skaf44(sk1))
| spl0_346 ),
inference(component_clause,[status(thm)],[f8755]) ).
fof(f8796,plain,
( ~ ssItem(skaf44(sk1))
| strictorderedP(sk1)
| ~ spl0_338 ),
inference(paramodulation,[status(thm)],[f8614,f260]) ).
fof(f8797,plain,
( ~ spl0_346
| spl0_5
| ~ spl0_338 ),
inference(split_clause,[status(thm)],[f8796,f8755,f451,f8613]) ).
fof(f8815,plain,
( $false
| spl0_346 ),
inference(forward_subsumption_resolution,[status(thm)],[f8757,f241]) ).
fof(f8816,plain,
spl0_346,
inference(contradiction_clause,[status(thm)],[f8815]) ).
fof(f8817,plain,
$false,
inference(sat_refutation,[status(thm)],[f447,f454,f499,f519,f554,f567,f603,f627,f822,f8617,f8797,f8816]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC348-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.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 11:36:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 28.40/4.01 % Refutation found
% 28.40/4.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 28.40/4.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 29.11/4.06 % Elapsed time: 3.712953 seconds
% 29.11/4.06 % CPU time: 29.180395 seconds
% 29.11/4.06 % Memory used: 160.974 MB
%------------------------------------------------------------------------------