TSTP Solution File: SWC333-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC333-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:40:05 EDT 2023
% Result : Unsatisfiable 0.06s 0.27s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 54 ( 17 unt; 0 def)
% Number of atoms : 127 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 142 ( 69 ~; 65 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 5 (; 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
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,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f194,negated_conjecture,
! [A] :
( ~ ssList(A)
| ~ neq(sk3,A)
| ~ segmentP(sk4,A)
| ~ segmentP(A,sk3)
| ~ totalorderedP(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f195,negated_conjecture,
( ssList(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
( neq(sk1,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,negated_conjecture,
( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f198,negated_conjecture,
( segmentP(sk5,sk1)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,negated_conjecture,
( totalorderedP(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f207,plain,
ssList(nil),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f434,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f435,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f436,plain,
segmentP(sk4,sk3),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f437,plain,
totalorderedP(sk3),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f438,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(sk3,X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) ),
inference(cnf_transformation,[status(esa)],[f194]) ).
fof(f439,plain,
( ssList(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
inference(cnf_transformation,[status(esa)],[f195]) ).
fof(f440,plain,
( neq(sk1,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f441,plain,
( segmentP(sk2,sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
inference(cnf_transformation,[status(esa)],[f197]) ).
fof(f442,plain,
( segmentP(sk5,sk1)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
inference(cnf_transformation,[status(esa)],[f198]) ).
fof(f443,plain,
( totalorderedP(sk5)
| ~ segmentP(sk2,sk1)
| ~ totalorderedP(sk1) ),
inference(cnf_transformation,[status(esa)],[f199]) ).
fof(f451,plain,
( spl0_2
<=> ssList(sk5) ),
introduced(split_symbol_definition) ).
fof(f454,plain,
( spl0_3
<=> segmentP(sk2,sk1) ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( ~ segmentP(sk2,sk1)
| spl0_3 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( spl0_4
<=> totalorderedP(sk1) ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( ~ totalorderedP(sk1)
| spl0_4 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f439,f451,f454,f457]) ).
fof(f461,plain,
( spl0_5
<=> neq(sk1,sk5) ),
introduced(split_symbol_definition) ).
fof(f462,plain,
( neq(sk1,sk5)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( spl0_5
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f440,f461,f454,f457]) ).
fof(f465,plain,
( spl0_6
<=> segmentP(sk2,sk5) ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f441,f465,f454,f457]) ).
fof(f469,plain,
( spl0_7
<=> segmentP(sk5,sk1) ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( spl0_7
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f442,f469,f454,f457]) ).
fof(f473,plain,
( spl0_8
<=> totalorderedP(sk5) ),
introduced(split_symbol_definition) ).
fof(f476,plain,
( spl0_8
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f443,f473,f454,f457]) ).
fof(f508,plain,
totalorderedP(sk1),
inference(forward_demodulation,[status(thm)],[f435,f437]) ).
fof(f509,plain,
segmentP(sk2,sk3),
inference(forward_demodulation,[status(thm)],[f434,f436]) ).
fof(f510,plain,
segmentP(sk2,sk1),
inference(forward_demodulation,[status(thm)],[f435,f509]) ).
fof(f511,plain,
( spl0_9
<=> ssList(nil) ),
introduced(split_symbol_definition) ).
fof(f513,plain,
( ~ ssList(nil)
| spl0_9 ),
inference(component_clause,[status(thm)],[f511]) ).
fof(f531,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f508]) ).
fof(f532,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f531]) ).
fof(f533,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f510]) ).
fof(f534,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f533]) ).
fof(f535,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f207]) ).
fof(f536,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f535]) ).
fof(f545,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(sk1,X0)
| ~ segmentP(sk4,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) ),
inference(forward_demodulation,[status(thm)],[f435,f438]) ).
fof(f546,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ segmentP(X0,sk3)
| ~ totalorderedP(X0) ),
inference(forward_demodulation,[status(thm)],[f434,f545]) ).
fof(f547,plain,
! [X0] :
( ~ ssList(X0)
| ~ neq(sk1,X0)
| ~ segmentP(sk2,X0)
| ~ segmentP(X0,sk1)
| ~ totalorderedP(X0) ),
inference(forward_demodulation,[status(thm)],[f435,f546]) ).
fof(f548,plain,
( ~ ssList(sk5)
| ~ segmentP(sk2,sk5)
| ~ segmentP(sk5,sk1)
| ~ totalorderedP(sk5)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f547,f462]) ).
fof(f549,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f548,f451,f465,f469,f473,f461]) ).
fof(f558,plain,
$false,
inference(sat_refutation,[status(thm)],[f460,f464,f468,f472,f476,f532,f534,f536,f549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SWC333-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n013.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 11:18:19 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.06/0.27 % Refutation found
% 0.06/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.06/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.06/0.28 % Elapsed time: 0.018424 seconds
% 0.06/0.28 % CPU time: 0.029974 seconds
% 0.06/0.28 % Memory used: 18.011 MB
%------------------------------------------------------------------------------