TSTP Solution File: SWC292-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC292-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:39:56 EDT 2023
% Result : Unsatisfiable 0.16s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 20
% Syntax : Number of formulae : 62 ( 17 unt; 0 def)
% Number of atoms : 118 ( 24 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 101 ( 45 ~; 47 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 6 (; 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [U] :
( ~ ssItem(U)
| strictorderedP(cons(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,
~ strictorderedP(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
( nil = sk3
| nil != sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f199,plain,
strictorderedP(nil),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f204,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f262,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f299,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f428,plain,
ssList(sk2),
inference(cnf_transformation,[status(esa)],[f187]) ).
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,
~ strictorderedP(sk1),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f434,plain,
( nil = sk3
| nil != sk4 ),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f435,plain,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f436,plain,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f445,plain,
( spl0_2
<=> nil = sk3 ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( nil = sk3
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( spl0_3
<=> nil = sk4 ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( nil != sk4
| spl0_3 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f434,f445,f448]) ).
fof(f452,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( spl0_5
<=> neq(sk4,nil) ),
introduced(split_symbol_definition) ).
fof(f457,plain,
( ~ neq(sk4,nil)
| spl0_5 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f435,f452,f455]) ).
fof(f459,plain,
( spl0_6
<=> cons(sk5,nil) = sk3 ),
introduced(split_symbol_definition) ).
fof(f460,plain,
( cons(sk5,nil) = sk3
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( spl0_6
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f436,f459,f455]) ).
fof(f498,plain,
( nil != sk2
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f431,f450]) ).
fof(f499,plain,
( ~ neq(sk2,nil)
| spl0_5 ),
inference(forward_demodulation,[status(thm)],[f431,f457]) ).
fof(f506,plain,
( spl0_10
<=> sk2 = nil ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( sk2 = nil
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f511,plain,
( spl0_11
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( ~ ssList(nil)
| spl0_11 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f514,plain,
( spl0_12
<=> ssList(sk2) ),
introduced(split_symbol_definition) ).
fof(f516,plain,
( ~ ssList(sk2)
| spl0_12 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f517,plain,
( ~ ssList(nil)
| ~ ssList(sk2)
| sk2 = nil
| spl0_5 ),
inference(resolution,[status(thm)],[f499,f299]) ).
fof(f518,plain,
( ~ spl0_11
| ~ spl0_12
| spl0_10
| spl0_5 ),
inference(split_clause,[status(thm)],[f517,f511,f514,f506,f455]) ).
fof(f519,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f516,f428]) ).
fof(f520,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f519]) ).
fof(f521,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f204]) ).
fof(f522,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( cons(sk5,nil) = sk1
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f432,f460]) ).
fof(f526,plain,
( spl0_13
<=> strictorderedP(sk1) ),
introduced(split_symbol_definition) ).
fof(f527,plain,
( strictorderedP(sk1)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( ~ ssItem(sk5)
| strictorderedP(sk1)
| ~ spl0_6 ),
inference(paramodulation,[status(thm)],[f523,f262]) ).
fof(f530,plain,
( ~ spl0_4
| spl0_13
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f529,f452,f526,f459]) ).
fof(f543,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f527,f433]) ).
fof(f544,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f545,plain,
( $false
| spl0_3
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f498]) ).
fof(f546,plain,
( spl0_3
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( nil = sk1
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f432,f446]) ).
fof(f549,plain,
( ~ strictorderedP(nil)
| ~ spl0_2 ),
inference(backward_demodulation,[status(thm)],[f547,f433]) ).
fof(f550,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f549,f199]) ).
fof(f551,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f550]) ).
fof(f552,plain,
$false,
inference(sat_refutation,[status(thm)],[f451,f458,f462,f518,f520,f522,f530,f544,f546,f551]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC292-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n019.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 May 30 11:26:25 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.32 % Refutation found
% 0.16/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.016404 seconds
% 0.16/0.54 % CPU time: 0.018018 seconds
% 0.16/0.54 % Memory used: 4.048 MB
%------------------------------------------------------------------------------