TSTP Solution File: SWC103-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC103-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:39:15 EDT 2023
% Result : Unsatisfiable 0.15s 0.35s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 64 ( 17 unt; 0 def)
% Number of atoms : 129 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 123 ( 58 ~; 56 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 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(f100,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| V = 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(f194,negated_conjecture,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f204,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f299,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f317,plain,
! [U] :
( ! [V] :
( U != V
| ~ neq(U,V)
| ~ ssList(V) )
| ~ ssList(U) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f318,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f317]) ).
fof(f427,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
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,
neq(sk2,nil),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f435,plain,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f436,plain,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f437,plain,
( ~ neq(sk4,nil)
| frontsegP(sk4,sk3) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f452,plain,
( spl0_4
<=> neq(sk1,nil) ),
introduced(split_symbol_definition) ).
fof(f454,plain,
( ~ neq(sk1,nil)
| spl0_4 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( spl0_5
<=> frontsegP(sk2,sk1) ),
introduced(split_symbol_definition) ).
fof(f458,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f435,f452,f455]) ).
fof(f459,plain,
( spl0_6
<=> neq(sk4,nil) ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( ~ neq(sk4,nil)
| spl0_6 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( spl0_7
<=> neq(sk3,nil) ),
introduced(split_symbol_definition) ).
fof(f463,plain,
( neq(sk3,nil)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( ~ spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f436,f459,f462]) ).
fof(f466,plain,
( spl0_8
<=> frontsegP(sk4,sk3) ),
introduced(split_symbol_definition) ).
fof(f467,plain,
( frontsegP(sk4,sk3)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( ~ spl0_6
| spl0_8 ),
inference(split_clause,[status(thm)],[f437,f459,f466]) ).
fof(f477,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(destructive_equality_resolution,[status(esa)],[f318]) ).
fof(f478,plain,
! [X0] :
( ~ neq(X0,X0)
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f477]) ).
fof(f501,plain,
( spl0_9
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f503,plain,
( ~ ssList(nil)
| spl0_9 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f511,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f503,f204]) ).
fof(f512,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f526,plain,
( spl0_14
<=> sk1 = nil ),
introduced(split_symbol_definition) ).
fof(f527,plain,
( sk1 = nil
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f531,plain,
( spl0_15
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f533,plain,
( ~ ssList(sk1)
| spl0_15 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( ~ ssList(nil)
| ~ ssList(sk1)
| sk1 = nil
| spl0_4 ),
inference(resolution,[status(thm)],[f454,f299]) ).
fof(f535,plain,
( ~ spl0_9
| ~ spl0_15
| spl0_14
| spl0_4 ),
inference(split_clause,[status(thm)],[f534,f501,f531,f526,f452]) ).
fof(f536,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f427]) ).
fof(f537,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( nil = sk3
| ~ spl0_14 ),
inference(backward_demodulation,[status(thm)],[f527,f432]) ).
fof(f540,plain,
( ~ neq(sk2,nil)
| spl0_6 ),
inference(forward_demodulation,[status(thm)],[f431,f461]) ).
fof(f541,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f540,f433]) ).
fof(f542,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( neq(nil,nil)
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f538,f463]) ).
fof(f544,plain,
( frontsegP(sk2,sk3)
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f431,f467]) ).
fof(f554,plain,
( ~ ssList(nil)
| ~ spl0_14
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f543,f478]) ).
fof(f555,plain,
( ~ spl0_9
| ~ spl0_14
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f554,f501,f526,f462]) ).
fof(f562,plain,
( spl0_18
<=> ssList(sk2) ),
introduced(split_symbol_definition) ).
fof(f564,plain,
( ~ ssList(sk2)
| spl0_18 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f570,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f564,f428]) ).
fof(f571,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f580,plain,
( frontsegP(sk2,sk1)
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f432,f544]) ).
fof(f581,plain,
( spl0_5
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f580,f455,f466]) ).
fof(f582,plain,
$false,
inference(sat_refutation,[status(thm)],[f458,f465,f469,f512,f535,f537,f542,f555,f571,f581]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC103-1 : TPTP v8.1.2. Released v2.4.0.
% 0.09/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.33 % Computer : n014.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue May 30 11:21:18 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.15/0.34 % Drodi V3.5.1
% 0.15/0.35 % Refutation found
% 0.15/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.57 % Elapsed time: 0.018823 seconds
% 0.16/0.57 % CPU time: 0.019684 seconds
% 0.16/0.57 % Memory used: 4.058 MB
%------------------------------------------------------------------------------