TSTP Solution File: SWC264-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWC264-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 12:39:50 EDT 2023
% Result : Unsatisfiable 4.82s 1.01s
% Output : CNFRefutation 4.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 24
% Syntax : Number of formulae : 77 ( 27 unt; 0 def)
% Number of atoms : 184 ( 10 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 195 ( 88 ~; 96 |; 0 &)
% ( 11 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 12 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 41 (; 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27,axiom,
! [U] : ssList(skaf68(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [U] : ssList(skaf67(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [U] : ssList(skaf66(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [U] : ssItem(skaf65(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [U] : ssItem(skaf64(U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,axiom,
! [U] :
( ~ leq(skaf64(U),skaf65(U))
| ~ ssList(U)
| totalorderedP(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
! [U,V] :
( ~ lt(U,V)
| ~ ssItem(V)
| ~ ssItem(U)
| leq(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [U] :
( ~ ssList(U)
| totalorderedP(U)
| app(app(skaf66(U),cons(skaf64(U),skaf67(U))),cons(skaf65(U),skaf68(U))) = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f181,axiom,
! [U,V,W,X,Y,Z] :
( app(app(U,cons(V,W)),cons(X,Y)) != Z
| ~ ssList(Y)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(Z)
| lt(V,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f186,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f192,negated_conjecture,
strictorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f193,negated_conjecture,
~ totalorderedP(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f220,plain,
! [X0] : ssList(skaf68(X0)),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f221,plain,
! [X0] : ssList(skaf67(X0)),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f222,plain,
! [X0] : ssList(skaf66(X0)),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f223,plain,
! [X0] : ssItem(skaf65(X0)),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f224,plain,
! [X0] : ssItem(skaf64(X0)),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f285,plain,
! [X0] :
( ~ leq(skaf64(X0),skaf65(X0))
| ~ ssList(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f299,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f388,plain,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
inference(cnf_transformation,[status(esa)],[f164]) ).
fof(f414,plain,
! [V,X] :
( ! [Z] :
( ! [U] :
( ! [W] :
( ! [Y] :
( app(app(U,cons(V,W)),cons(X,Y)) != Z
| ~ ssList(Y) )
| ~ ssList(W) )
| ~ ssList(U) )
| ~ ssItem(X)
| ~ ssItem(V)
| ~ strictorderedP(Z)
| ~ ssList(Z) )
| lt(V,X) ),
inference(miniscoping,[status(esa)],[f181]) ).
fof(f415,plain,
! [X0,X1,X2,X3,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ strictorderedP(X5)
| ~ ssList(X5)
| lt(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f414]) ).
fof(f424,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f186]) ).
fof(f429,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f191]) ).
fof(f430,plain,
strictorderedP(sk3),
inference(cnf_transformation,[status(esa)],[f192]) ).
fof(f431,plain,
~ totalorderedP(sk1),
inference(cnf_transformation,[status(esa)],[f193]) ).
fof(f463,plain,
! [X0,X1,X2,X3,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| ~ strictorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| lt(X4,X3) ),
inference(destructive_equality_resolution,[status(esa)],[f415]) ).
fof(f470,plain,
strictorderedP(sk1),
inference(forward_demodulation,[status(thm)],[f429,f430]) ).
fof(f1263,plain,
( spl0_42
<=> ssList(sk1) ),
introduced(split_symbol_definition) ).
fof(f1265,plain,
( ~ ssList(sk1)
| spl0_42 ),
inference(component_clause,[status(thm)],[f1263]) ).
fof(f1323,plain,
( $false
| spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f1265,f424]) ).
fof(f1324,plain,
spl0_42,
inference(contradiction_clause,[status(thm)],[f1323]) ).
fof(f1606,plain,
( spl0_61
<=> totalorderedP(sk1) ),
introduced(split_symbol_definition) ).
fof(f1607,plain,
( totalorderedP(sk1)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f1606]) ).
fof(f11102,plain,
( spl0_751
<=> app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))) = sk1 ),
introduced(split_symbol_definition) ).
fof(f11103,plain,
( app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))) = sk1
| ~ spl0_751 ),
inference(component_clause,[status(thm)],[f11102]) ).
fof(f11105,plain,
( totalorderedP(sk1)
| app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))) = sk1 ),
inference(resolution,[status(thm)],[f388,f424]) ).
fof(f11106,plain,
( spl0_61
| spl0_751 ),
inference(split_clause,[status(thm)],[f11105,f1606,f11102]) ).
fof(f11525,plain,
( spl0_810
<=> ssList(skaf68(sk1)) ),
introduced(split_symbol_definition) ).
fof(f11527,plain,
( ~ ssList(skaf68(sk1))
| spl0_810 ),
inference(component_clause,[status(thm)],[f11525]) ).
fof(f11528,plain,
( spl0_811
<=> ssList(skaf67(sk1)) ),
introduced(split_symbol_definition) ).
fof(f11530,plain,
( ~ ssList(skaf67(sk1))
| spl0_811 ),
inference(component_clause,[status(thm)],[f11528]) ).
fof(f11531,plain,
( spl0_812
<=> ssList(skaf66(sk1)) ),
introduced(split_symbol_definition) ).
fof(f11533,plain,
( ~ ssList(skaf66(sk1))
| spl0_812 ),
inference(component_clause,[status(thm)],[f11531]) ).
fof(f11534,plain,
( spl0_813
<=> ssItem(skaf65(sk1)) ),
introduced(split_symbol_definition) ).
fof(f11536,plain,
( ~ ssItem(skaf65(sk1))
| spl0_813 ),
inference(component_clause,[status(thm)],[f11534]) ).
fof(f11537,plain,
( spl0_814
<=> ssItem(skaf64(sk1)) ),
introduced(split_symbol_definition) ).
fof(f11539,plain,
( ~ ssItem(skaf64(sk1))
| spl0_814 ),
inference(component_clause,[status(thm)],[f11537]) ).
fof(f11543,plain,
( spl0_816
<=> leq(skaf64(sk1),skaf65(sk1)) ),
introduced(split_symbol_definition) ).
fof(f11544,plain,
( leq(skaf64(sk1),skaf65(sk1))
| ~ spl0_816 ),
inference(component_clause,[status(thm)],[f11543]) ).
fof(f11548,plain,
( spl0_817
<=> strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1)))) ),
introduced(split_symbol_definition) ).
fof(f11550,plain,
( ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
| spl0_817 ),
inference(component_clause,[status(thm)],[f11548]) ).
fof(f11551,plain,
( spl0_818
<=> lt(skaf64(sk1),skaf65(sk1)) ),
introduced(split_symbol_definition) ).
fof(f11552,plain,
( lt(skaf64(sk1),skaf65(sk1))
| ~ spl0_818 ),
inference(component_clause,[status(thm)],[f11551]) ).
fof(f11554,plain,
( ~ ssList(skaf68(sk1))
| ~ ssList(skaf67(sk1))
| ~ ssList(skaf66(sk1))
| ~ ssItem(skaf65(sk1))
| ~ ssItem(skaf64(sk1))
| ~ strictorderedP(app(app(skaf66(sk1),cons(skaf64(sk1),skaf67(sk1))),cons(skaf65(sk1),skaf68(sk1))))
| ~ ssList(sk1)
| lt(skaf64(sk1),skaf65(sk1))
| ~ spl0_751 ),
inference(paramodulation,[status(thm)],[f11103,f463]) ).
fof(f11555,plain,
( ~ spl0_810
| ~ spl0_811
| ~ spl0_812
| ~ spl0_813
| ~ spl0_814
| ~ spl0_817
| ~ spl0_42
| spl0_818
| ~ spl0_751 ),
inference(split_clause,[status(thm)],[f11554,f11525,f11528,f11531,f11534,f11537,f11548,f1263,f11551,f11102]) ).
fof(f11590,plain,
( ~ strictorderedP(sk1)
| ~ spl0_751
| spl0_817 ),
inference(forward_demodulation,[status(thm)],[f11103,f11550]) ).
fof(f11591,plain,
( $false
| ~ spl0_751
| spl0_817 ),
inference(forward_subsumption_resolution,[status(thm)],[f11590,f470]) ).
fof(f11592,plain,
( ~ spl0_751
| spl0_817 ),
inference(contradiction_clause,[status(thm)],[f11591]) ).
fof(f11602,plain,
( $false
| spl0_814 ),
inference(forward_subsumption_resolution,[status(thm)],[f11539,f224]) ).
fof(f11603,plain,
spl0_814,
inference(contradiction_clause,[status(thm)],[f11602]) ).
fof(f11604,plain,
( $false
| spl0_811 ),
inference(forward_subsumption_resolution,[status(thm)],[f11530,f221]) ).
fof(f11605,plain,
spl0_811,
inference(contradiction_clause,[status(thm)],[f11604]) ).
fof(f11606,plain,
( $false
| spl0_812 ),
inference(forward_subsumption_resolution,[status(thm)],[f11533,f222]) ).
fof(f11607,plain,
spl0_812,
inference(contradiction_clause,[status(thm)],[f11606]) ).
fof(f11609,plain,
( $false
| spl0_813 ),
inference(forward_subsumption_resolution,[status(thm)],[f11536,f223]) ).
fof(f11610,plain,
spl0_813,
inference(contradiction_clause,[status(thm)],[f11609]) ).
fof(f11611,plain,
( $false
| spl0_810 ),
inference(forward_subsumption_resolution,[status(thm)],[f11527,f220]) ).
fof(f11612,plain,
spl0_810,
inference(contradiction_clause,[status(thm)],[f11611]) ).
fof(f11628,plain,
( ~ ssItem(skaf65(sk1))
| ~ ssItem(skaf64(sk1))
| leq(skaf64(sk1),skaf65(sk1))
| ~ spl0_818 ),
inference(resolution,[status(thm)],[f11552,f299]) ).
fof(f11629,plain,
( ~ spl0_813
| ~ spl0_814
| spl0_816
| ~ spl0_818 ),
inference(split_clause,[status(thm)],[f11628,f11534,f11537,f11543,f11551]) ).
fof(f11630,plain,
( ~ ssList(sk1)
| totalorderedP(sk1)
| ~ spl0_816 ),
inference(resolution,[status(thm)],[f11544,f285]) ).
fof(f11631,plain,
( ~ spl0_42
| spl0_61
| ~ spl0_816 ),
inference(split_clause,[status(thm)],[f11630,f1263,f1606,f11543]) ).
fof(f11654,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1607,f431]) ).
fof(f11655,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f11654]) ).
fof(f11656,plain,
$false,
inference(sat_refutation,[status(thm)],[f1324,f11106,f11555,f11592,f11603,f11605,f11607,f11610,f11612,f11629,f11631,f11655]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC264-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:15:32 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 4.82/1.01 % Refutation found
% 4.82/1.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.82/1.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.82/1.05 % Elapsed time: 0.692721 seconds
% 4.82/1.05 % CPU time: 5.232685 seconds
% 4.82/1.05 % Memory used: 100.193 MB
%------------------------------------------------------------------------------