TSTP Solution File: SWC206-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC206-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:39:40 EDT 2023
% Result : Unsatisfiable 0.14s 0.31s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 21
% Syntax : Number of formulae : 64 ( 19 unt; 0 def)
% Number of atoms : 126 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 113 ( 51 ~; 53 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 6 (; 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,axiom,
! [U] :
( ~ segmentP(nil,U)
| ~ ssList(U)
| nil = U ),
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(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,
~ neq(sk1,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ssList(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( segmentP(sk3,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f206,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f279,plain,
! [X0] :
( ~ segmentP(nil,X0)
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[status(esa)],[f80]) ).
fof(f301,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| neq(X1,X0)
| X1 = X0 ),
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f429,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f430,plain,
ssList(sk2),
inference(cnf_transformation,[status(esa)],[f187]) ).
fof(f433,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f435,plain,
neq(sk2,nil),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f436,plain,
~ neq(sk1,nil),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f438,plain,
( ssList(sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f439,plain,
( neq(sk5,nil)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f441,plain,
( segmentP(sk3,sk5)
| ~ neq(sk4,nil) ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f456,plain,
( spl0_4
<=> ssList(sk5) ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( spl0_5
<=> neq(sk4,nil) ),
introduced(split_symbol_definition) ).
fof(f461,plain,
( ~ neq(sk4,nil)
| spl0_5 ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( spl0_4
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f438,f456,f459]) ).
fof(f463,plain,
( spl0_6
<=> neq(sk5,nil) ),
introduced(split_symbol_definition) ).
fof(f464,plain,
( neq(sk5,nil)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( spl0_6
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f439,f463,f459]) ).
fof(f471,plain,
( spl0_8
<=> segmentP(sk3,sk5) ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( segmentP(sk3,sk5)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( spl0_8
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f441,f471,f459]) ).
fof(f506,plain,
( spl0_9
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f508,plain,
( ~ ssList(nil)
| spl0_9 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f516,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f206]) ).
fof(f517,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( spl0_11
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f520,plain,
( ~ ssList(sk1)
| spl0_11 ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,plain,
( spl0_12
<=> sk1 = nil ),
introduced(split_symbol_definition) ).
fof(f522,plain,
( sk1 = nil
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f524,plain,
( ~ ssList(nil)
| ~ ssList(sk1)
| sk1 = nil ),
inference(resolution,[status(thm)],[f301,f436]) ).
fof(f525,plain,
( ~ spl0_9
| ~ spl0_11
| spl0_12 ),
inference(split_clause,[status(thm)],[f524,f506,f518,f521]) ).
fof(f526,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f520,f429]) ).
fof(f527,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f543,plain,
( ~ neq(nil,nil)
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f522,f436]) ).
fof(f544,plain,
( nil = sk3
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f522,f434]) ).
fof(f546,plain,
( ~ neq(sk2,nil)
| spl0_5 ),
inference(forward_demodulation,[status(thm)],[f433,f461]) ).
fof(f547,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f435]) ).
fof(f548,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f547]) ).
fof(f550,plain,
( segmentP(nil,sk5)
| ~ spl0_12
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f544,f472]) ).
fof(f559,plain,
( spl0_17
<=> ssList(sk2) ),
introduced(split_symbol_definition) ).
fof(f561,plain,
( ~ ssList(sk2)
| spl0_17 ),
inference(component_clause,[status(thm)],[f559]) ).
fof(f567,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f561,f430]) ).
fof(f568,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( spl0_19
<=> nil = sk5 ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( nil = sk5
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( ~ ssList(sk5)
| nil = sk5
| ~ spl0_12
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f550,f279]) ).
fof(f573,plain,
( ~ spl0_4
| spl0_19
| ~ spl0_12
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f572,f456,f569,f521,f471]) ).
fof(f581,plain,
( neq(nil,nil)
| ~ spl0_19
| ~ spl0_6 ),
inference(backward_demodulation,[status(thm)],[f570,f464]) ).
fof(f582,plain,
( $false
| ~ spl0_12
| ~ spl0_19
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f543]) ).
fof(f583,plain,
( ~ spl0_12
| ~ spl0_19
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f584,plain,
$false,
inference(sat_refutation,[status(thm)],[f462,f466,f474,f517,f525,f527,f548,f568,f573,f583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC206-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:44:03 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.14/0.31 % Refutation found
% 0.14/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.31 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.53 % Elapsed time: 0.015666 seconds
% 0.14/0.53 % CPU time: 0.017595 seconds
% 0.14/0.53 % Memory used: 4.045 MB
%------------------------------------------------------------------------------