TSTP Solution File: SYN558-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN558-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:52:31 EDT 2024
% Result : Unsatisfiable 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 28
% Syntax : Number of formulae : 111 ( 31 unt; 0 def)
% Number of atoms : 224 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 196 ( 83 ~; 95 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 23 ( 22 usr; 19 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X8] : p4(X8,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X21] : p6(c7,f3(X21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p5(c7,c10,c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p5(c7,c10,c8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X21] : p5(c7,X21,f3(X21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X26] :
( ~ p5(c7,c8,X26)
| ~ p5(c7,c9,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X11,X12,X13,X14] :
( p5(X11,X12,X13)
| ~ p5(X11,X12,X14)
| ~ p5(X11,X14,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X3,X4,X5] :
( p2(X3,X4)
| ~ p6(c7,X4)
| ~ p6(c7,X3)
| ~ p5(c7,X5,X4)
| ~ p5(c7,X5,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X15,X16,X17,X18,X19,X20] :
( p5(X15,X16,X17)
| ~ p2(X18,X16)
| ~ p2(X19,X17)
| ~ p4(X20,X15)
| ~ p5(X20,X18,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0] : p6(c7,f3(X0)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
p5(c7,c10,c9),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
p5(c7,c10,c8),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
! [X0] : p5(c7,X0,f3(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0] :
( ~ p5(c7,c8,X0)
| ~ p5(c7,c9,X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,plain,
! [X11,X13,X14] :
( ! [X12] :
( p5(X11,X12,X13)
| ~ p5(X11,X12,X14) )
| ~ p5(X11,X14,X13) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( p5(X0,X1,X2)
| ~ p5(X0,X1,X3)
| ~ p5(X0,X3,X2) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f31,plain,
! [X3,X5] :
( ! [X4] :
( p2(X3,X4)
| ~ p6(c7,X4)
| ~ p6(c7,X3)
| ~ p5(c7,X5,X4) )
| ~ p5(c7,X5,X3) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f32,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p6(c7,X1)
| ~ p6(c7,X0)
| ~ p5(c7,X2,X1)
| ~ p5(c7,X2,X0) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,plain,
! [X18,X19,X20] :
( ! [X15] :
( ! [X17] :
( ! [X16] :
( p5(X15,X16,X17)
| ~ p2(X18,X16) )
| ~ p2(X19,X17) )
| ~ p4(X20,X15) )
| ~ p5(X20,X18,X19) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f34,plain,
! [X0,X1,X2,X3,X4,X5] :
( p5(X0,X1,X2)
| ~ p2(X3,X1)
| ~ p2(X4,X2)
| ~ p4(X5,X0)
| ~ p5(X5,X3,X4) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f43,plain,
! [X0,X1] :
( p5(c7,X0,f3(X1))
| ~ p5(c7,X0,X1) ),
inference(resolution,[status(thm)],[f28,f20]) ).
fof(f61,plain,
! [X0,X1] :
( p2(X0,f3(X1))
| ~ p6(c7,f3(X1))
| ~ p6(c7,X0)
| ~ p5(c7,X1,X0) ),
inference(resolution,[status(thm)],[f32,f20]) ).
fof(f62,plain,
! [X0,X1] :
( p2(X0,f3(X1))
| ~ p6(c7,X0)
| ~ p5(c7,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f61,f17]) ).
fof(f63,plain,
p5(c7,c10,f3(c8)),
inference(resolution,[status(thm)],[f43,f19]) ).
fof(f64,plain,
p5(c7,c10,f3(c9)),
inference(resolution,[status(thm)],[f43,f18]) ).
fof(f70,plain,
( spl0_5
<=> p6(c7,f3(c8)) ),
introduced(split_symbol_definition) ).
fof(f72,plain,
( ~ p6(c7,f3(c8))
| spl0_5 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f76,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f17]) ).
fof(f77,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f76]) ).
fof(f82,plain,
( spl0_7
<=> p6(c7,f3(c9)) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( ~ p6(c7,f3(c9))
| spl0_7 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f88,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f17]) ).
fof(f89,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f88]) ).
fof(f99,plain,
( spl0_9
<=> p6(c7,f3(f3(c8))) ),
introduced(split_symbol_definition) ).
fof(f101,plain,
( ~ p6(c7,f3(f3(c8)))
| spl0_9 ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f105,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f17]) ).
fof(f106,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f105]) ).
fof(f111,plain,
( spl0_11
<=> p6(c7,f3(f3(c9))) ),
introduced(split_symbol_definition) ).
fof(f113,plain,
( ~ p6(c7,f3(f3(c9)))
| spl0_11 ),
inference(component_clause,[status(thm)],[f111]) ).
fof(f117,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f113,f17]) ).
fof(f118,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f117]) ).
fof(f128,plain,
( spl0_13
<=> p6(c7,f3(f3(f3(c8)))) ),
introduced(split_symbol_definition) ).
fof(f130,plain,
( ~ p6(c7,f3(f3(f3(c8))))
| spl0_13 ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f134,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f17]) ).
fof(f135,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f134]) ).
fof(f140,plain,
( spl0_15
<=> p6(c7,f3(f3(f3(c9)))) ),
introduced(split_symbol_definition) ).
fof(f142,plain,
( ~ p6(c7,f3(f3(f3(c9))))
| spl0_15 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f146,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f142,f17]) ).
fof(f147,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f146]) ).
fof(f166,plain,
! [X0,X1,X2,X3] :
( p5(X0,X1,X2)
| ~ p2(X3,X1)
| ~ p2(f3(X3),X2)
| ~ p4(c7,X0) ),
inference(resolution,[status(thm)],[f34,f20]) ).
fof(f187,plain,
( spl0_20
<=> p2(f3(c9),f3(c10)) ),
introduced(split_symbol_definition) ).
fof(f188,plain,
( p2(f3(c9),f3(c10))
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f187]) ).
fof(f190,plain,
( p2(f3(c9),f3(c10))
| ~ p6(c7,f3(c9)) ),
inference(resolution,[status(thm)],[f62,f64]) ).
fof(f191,plain,
( spl0_20
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f190,f187,f82]) ).
fof(f192,plain,
( spl0_21
<=> p2(f3(c8),f3(c10)) ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( p2(f3(c8),f3(c10))
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( p2(f3(c8),f3(c10))
| ~ p6(c7,f3(c8)) ),
inference(resolution,[status(thm)],[f62,f63]) ).
fof(f196,plain,
( spl0_21
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f195,f192,f70]) ).
fof(f271,plain,
( spl0_33
<=> p6(c7,f3(f3(f3(f3(c10))))) ),
introduced(split_symbol_definition) ).
fof(f273,plain,
( ~ p6(c7,f3(f3(f3(f3(c10)))))
| spl0_33 ),
inference(component_clause,[status(thm)],[f271]) ).
fof(f279,plain,
( spl0_35
<=> p6(c7,f3(f3(f3(c10)))) ),
introduced(split_symbol_definition) ).
fof(f281,plain,
( ~ p6(c7,f3(f3(f3(c10))))
| spl0_35 ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f287,plain,
( spl0_37
<=> p6(c7,f3(f3(c10))) ),
introduced(split_symbol_definition) ).
fof(f289,plain,
( ~ p6(c7,f3(f3(c10)))
| spl0_37 ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f295,plain,
( spl0_39
<=> p6(c7,f3(c10)) ),
introduced(split_symbol_definition) ).
fof(f297,plain,
( ~ p6(c7,f3(c10))
| spl0_39 ),
inference(component_clause,[status(thm)],[f295]) ).
fof(f300,plain,
( $false
| spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f17]) ).
fof(f301,plain,
spl0_33,
inference(contradiction_clause,[status(thm)],[f300]) ).
fof(f302,plain,
( $false
| spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f281,f17]) ).
fof(f303,plain,
spl0_35,
inference(contradiction_clause,[status(thm)],[f302]) ).
fof(f304,plain,
( $false
| spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f17]) ).
fof(f305,plain,
spl0_37,
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f306,plain,
( $false
| spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f297,f17]) ).
fof(f307,plain,
spl0_39,
inference(contradiction_clause,[status(thm)],[f306]) ).
fof(f655,plain,
( spl0_77
<=> p6(c7,f3(f3(f3(f3(c8))))) ),
introduced(split_symbol_definition) ).
fof(f657,plain,
( ~ p6(c7,f3(f3(f3(f3(c8)))))
| spl0_77 ),
inference(component_clause,[status(thm)],[f655]) ).
fof(f689,plain,
( $false
| spl0_77 ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f17]) ).
fof(f690,plain,
spl0_77,
inference(contradiction_clause,[status(thm)],[f689]) ).
fof(f694,plain,
( spl0_84
<=> p6(c7,f3(f3(f3(f3(c9))))) ),
introduced(split_symbol_definition) ).
fof(f696,plain,
( ~ p6(c7,f3(f3(f3(f3(c9)))))
| spl0_84 ),
inference(component_clause,[status(thm)],[f694]) ).
fof(f728,plain,
( $false
| spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f696,f17]) ).
fof(f729,plain,
spl0_84,
inference(contradiction_clause,[status(thm)],[f728]) ).
fof(f733,plain,
( spl0_91
<=> p6(c7,f3(f3(f3(f3(f3(c10)))))) ),
introduced(split_symbol_definition) ).
fof(f735,plain,
( ~ p6(c7,f3(f3(f3(f3(f3(c10))))))
| spl0_91 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f762,plain,
( $false
| spl0_91 ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f17]) ).
fof(f763,plain,
spl0_91,
inference(contradiction_clause,[status(thm)],[f762]) ).
fof(f783,plain,
! [X0,X1] :
( p5(X0,X1,f3(c10))
| ~ p2(c9,X1)
| ~ p4(c7,X0)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f166,f188]) ).
fof(f787,plain,
! [X0,X1] :
( p5(X0,X1,f3(c10))
| ~ p2(c8,X1)
| ~ p4(c7,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f166,f193]) ).
fof(f1052,plain,
! [X0] :
( p5(c7,X0,f3(c10))
| ~ p2(c9,X0)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f783,f16]) ).
fof(f1053,plain,
! [X0] :
( p5(c7,X0,f3(c10))
| ~ p2(c8,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f787,f16]) ).
fof(f1256,plain,
( spl0_110
<=> p6(c7,f3(f3(f3(f3(f3(c9)))))) ),
introduced(split_symbol_definition) ).
fof(f1258,plain,
( ~ p6(c7,f3(f3(f3(f3(f3(c9))))))
| spl0_110 ),
inference(component_clause,[status(thm)],[f1256]) ).
fof(f1296,plain,
( $false
| spl0_110 ),
inference(forward_subsumption_resolution,[status(thm)],[f1258,f17]) ).
fof(f1297,plain,
spl0_110,
inference(contradiction_clause,[status(thm)],[f1296]) ).
fof(f1301,plain,
( spl0_118
<=> p6(c7,f3(f3(f3(f3(f3(c8)))))) ),
introduced(split_symbol_definition) ).
fof(f1303,plain,
( ~ p6(c7,f3(f3(f3(f3(f3(c8))))))
| spl0_118 ),
inference(component_clause,[status(thm)],[f1301]) ).
fof(f1341,plain,
( $false
| spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f1303,f17]) ).
fof(f1342,plain,
spl0_118,
inference(contradiction_clause,[status(thm)],[f1341]) ).
fof(f1346,plain,
( spl0_126
<=> p6(c7,f3(f3(f3(f3(f3(f3(c10))))))) ),
introduced(split_symbol_definition) ).
fof(f1348,plain,
( ~ p6(c7,f3(f3(f3(f3(f3(f3(c10)))))))
| spl0_126 ),
inference(component_clause,[status(thm)],[f1346]) ).
fof(f1377,plain,
( $false
| spl0_126 ),
inference(forward_subsumption_resolution,[status(thm)],[f1348,f17]) ).
fof(f1378,plain,
spl0_126,
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1919,plain,
( p5(c7,c9,f3(c10))
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f1052,f15]) ).
fof(f1952,plain,
( p5(c7,c8,f3(c10))
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f1053,f15]) ).
fof(f1953,plain,
( ~ p5(c7,c9,f3(c10))
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f1952,f22]) ).
fof(f1954,plain,
( $false
| ~ spl0_20
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f1953,f1919]) ).
fof(f1955,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f1954]) ).
fof(f1956,plain,
$false,
inference(sat_refutation,[status(thm)],[f77,f89,f106,f118,f135,f147,f191,f196,f301,f303,f305,f307,f690,f729,f763,f1297,f1342,f1378,f1955]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN558-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 21:46:03 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.21/0.42 % Refutation found
% 0.21/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.44 % Elapsed time: 0.083205 seconds
% 0.21/0.44 % CPU time: 0.549775 seconds
% 0.21/0.44 % Total memory used: 43.338 MB
% 0.21/0.44 % Net memory used: 41.772 MB
%------------------------------------------------------------------------------