TSTP Solution File: SWC046-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWC046-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 : Tue Apr 30 20:44:18 EDT 2024
% Result : Unsatisfiable 9.80s 1.54s
% Output : CNFRefutation 9.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 22
% Syntax : Number of formulae : 71 ( 27 unt; 0 def)
% Number of atoms : 134 ( 21 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 115 ( 52 ~; 54 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [U] : ssItem(skaf83(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [U] : ssList(skaf82(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [U,V] : ssList(skaf46(U,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [U,V] : ssList(skaf45(U,V)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f71,axiom,
! [U] :
( ~ memberP(nil,U)
| ~ ssItem(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,axiom,
! [U] :
( ~ ssList(U)
| cons(skaf83(U),skaf82(U)) = U
| nil = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f138,axiom,
! [U,V,W] :
( U != V
| ~ ssList(W)
| ~ ssItem(V)
| ~ ssItem(U)
| memberP(cons(V,W),U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f190,negated_conjecture,
nil = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f196,negated_conjecture,
! [A] :
( ~ ssItem(A)
| ~ memberP(sk3,A)
| memberP(sk4,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f209,plain,
! [X0] : ssItem(skaf83(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f210,plain,
! [X0] : ssList(skaf82(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f247,plain,
! [X0,X1] : ssList(skaf46(X0,X1)),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f248,plain,
! [X0,X1] : ssList(skaf45(X0,X1)),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f268,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f309,plain,
! [X0] :
( ~ ssList(X0)
| cons(skaf83(X0),skaf82(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[status(esa)],[f109]) ).
fof(f350,plain,
! [X0,X1,X2] :
( X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| memberP(cons(X1,X2),X0) ),
inference(cnf_transformation,[status(esa)],[f138]) ).
fof(f428,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f432,plain,
nil = sk2,
inference(cnf_transformation,[status(esa)],[f190]) ).
fof(f433,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f434,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f435,plain,
nil != sk1,
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f438,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk3,X0)
| memberP(sk4,X0) ),
inference(cnf_transformation,[status(esa)],[f196]) ).
fof(f459,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(destructive_equality_resolution,[status(esa)],[f350]) ).
fof(f460,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| memberP(cons(X1,X0),X1) ),
inference(duplicate_literals_removal,[status(esa)],[f459]) ).
fof(f477,plain,
nil = sk4,
inference(forward_demodulation,[status(thm)],[f432,f433]) ).
fof(f492,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk1,X0)
| memberP(sk4,X0) ),
inference(forward_demodulation,[status(thm)],[f434,f438]) ).
fof(f493,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk1,X0)
| memberP(nil,X0) ),
inference(forward_demodulation,[status(thm)],[f477,f492]) ).
fof(f494,plain,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(sk1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f493,f268]) ).
fof(f1986,plain,
( spl0_53
<=> nil = sk1 ),
introduced(split_symbol_definition) ).
fof(f1987,plain,
( nil = sk1
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f1986]) ).
fof(f2838,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1987,f435]) ).
fof(f2839,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f2838]) ).
fof(f8014,plain,
( spl0_121
<=> cons(skaf83(sk1),skaf82(sk1)) = sk1 ),
introduced(split_symbol_definition) ).
fof(f8015,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f8014]) ).
fof(f8017,plain,
( cons(skaf83(sk1),skaf82(sk1)) = sk1
| nil = sk1 ),
inference(resolution,[status(thm)],[f309,f428]) ).
fof(f8018,plain,
( spl0_121
| spl0_53 ),
inference(split_clause,[status(thm)],[f8017,f8014,f1986]) ).
fof(f8053,plain,
( spl0_125
<=> ssList(skaf82(sk1)) ),
introduced(split_symbol_definition) ).
fof(f8055,plain,
( ~ ssList(skaf82(sk1))
| spl0_125 ),
inference(component_clause,[status(thm)],[f8053]) ).
fof(f8059,plain,
( spl0_127
<=> ssItem(skaf83(sk1)) ),
introduced(split_symbol_definition) ).
fof(f8061,plain,
( ~ ssItem(skaf83(sk1))
| spl0_127 ),
inference(component_clause,[status(thm)],[f8059]) ).
fof(f8069,plain,
( $false
| spl0_127 ),
inference(forward_subsumption_resolution,[status(thm)],[f8061,f209]) ).
fof(f8070,plain,
spl0_127,
inference(contradiction_clause,[status(thm)],[f8069]) ).
fof(f8071,plain,
( $false
| spl0_125 ),
inference(forward_subsumption_resolution,[status(thm)],[f8055,f210]) ).
fof(f8072,plain,
spl0_125,
inference(contradiction_clause,[status(thm)],[f8071]) ).
fof(f13371,plain,
( spl0_341
<=> ssList(skaf46(nil,nil)) ),
introduced(split_symbol_definition) ).
fof(f13373,plain,
( ~ ssList(skaf46(nil,nil))
| spl0_341 ),
inference(component_clause,[status(thm)],[f13371]) ).
fof(f13387,plain,
( $false
| spl0_341 ),
inference(forward_subsumption_resolution,[status(thm)],[f13373,f247]) ).
fof(f13388,plain,
spl0_341,
inference(contradiction_clause,[status(thm)],[f13387]) ).
fof(f13411,plain,
( spl0_345
<=> ssList(skaf46(sk1,nil)) ),
introduced(split_symbol_definition) ).
fof(f13413,plain,
( ~ ssList(skaf46(sk1,nil))
| spl0_345 ),
inference(component_clause,[status(thm)],[f13411]) ).
fof(f13427,plain,
( $false
| spl0_345 ),
inference(forward_subsumption_resolution,[status(thm)],[f13413,f247]) ).
fof(f13428,plain,
spl0_345,
inference(contradiction_clause,[status(thm)],[f13427]) ).
fof(f13521,plain,
( spl0_349
<=> ssList(skaf45(nil,nil)) ),
introduced(split_symbol_definition) ).
fof(f13523,plain,
( ~ ssList(skaf45(nil,nil))
| spl0_349 ),
inference(component_clause,[status(thm)],[f13521]) ).
fof(f13531,plain,
( $false
| spl0_349 ),
inference(forward_subsumption_resolution,[status(thm)],[f13523,f248]) ).
fof(f13532,plain,
spl0_349,
inference(contradiction_clause,[status(thm)],[f13531]) ).
fof(f13536,plain,
( spl0_351
<=> ssList(skaf45(sk1,nil)) ),
introduced(split_symbol_definition) ).
fof(f13538,plain,
( ~ ssList(skaf45(sk1,nil))
| spl0_351 ),
inference(component_clause,[status(thm)],[f13536]) ).
fof(f13546,plain,
( $false
| spl0_351 ),
inference(forward_subsumption_resolution,[status(thm)],[f13538,f248]) ).
fof(f13547,plain,
spl0_351,
inference(contradiction_clause,[status(thm)],[f13546]) ).
fof(f13668,plain,
( spl0_363
<=> memberP(sk1,skaf83(sk1)) ),
introduced(split_symbol_definition) ).
fof(f13669,plain,
( memberP(sk1,skaf83(sk1))
| ~ spl0_363 ),
inference(component_clause,[status(thm)],[f13668]) ).
fof(f13671,plain,
( ~ ssList(skaf82(sk1))
| ~ ssItem(skaf83(sk1))
| memberP(sk1,skaf83(sk1))
| ~ spl0_121 ),
inference(paramodulation,[status(thm)],[f8015,f460]) ).
fof(f13672,plain,
( ~ spl0_125
| ~ spl0_127
| spl0_363
| ~ spl0_121 ),
inference(split_clause,[status(thm)],[f13671,f8053,f8059,f13668,f8014]) ).
fof(f14066,plain,
( ~ ssItem(skaf83(sk1))
| ~ spl0_363 ),
inference(resolution,[status(thm)],[f13669,f494]) ).
fof(f14067,plain,
( ~ spl0_127
| ~ spl0_363 ),
inference(split_clause,[status(thm)],[f14066,f8059,f13668]) ).
fof(f14068,plain,
$false,
inference(sat_refutation,[status(thm)],[f2839,f8018,f8070,f8072,f13388,f13428,f13532,f13547,f13672,f14067]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWC046-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n021.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue Apr 30 00:05:10 EDT 2024
% 0.07/0.27 % CPUTime :
% 0.12/0.28 % Drodi V3.6.0
% 9.80/1.54 % Refutation found
% 9.80/1.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.80/1.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 9.80/1.58 % Elapsed time: 1.298331 seconds
% 9.80/1.58 % CPU time: 10.170944 seconds
% 9.80/1.58 % Total memory used: 184.574 MB
% 9.80/1.58 % Net memory used: 175.559 MB
%------------------------------------------------------------------------------