TSTP Solution File: SYN576-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN576-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 20:52:34 EDT 2024
% Result : Unsatisfiable 0.21s 0.45s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 20
% Syntax : Number of formulae : 67 ( 20 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 160 ( 75 ~; 77 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 72 ( 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X42] : p8(X42,X42),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X34] : p4(X34,X34),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X37] : p5(X37,X37),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p12(c15,f6(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p12(c16,f6(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X4,X5] :
( p11(X4,X5)
| p11(X5,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X22,X23] : p2(f3(X22,X23),f3(X23,X22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X6,X7,X8,X9] :
( p12(X6,X7)
| ~ p2(X8,X6)
| ~ p5(X9,X7)
| ~ p12(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X24,X25,X26,X27] :
( p2(f7(X24,X25),f7(X26,X27))
| ~ p2(X24,X26)
| ~ p2(X25,X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X28,X29,X30,X31,X32,X33] :
( p2(f9(X28,X29,X30),f9(X31,X32,X33))
| ~ p4(X28,X31)
| ~ p8(X29,X32)
| ~ p2(X30,X33) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X10,X11,X12] :
( p12(f7(f9(X10,c14,f3(X11,X12)),f3(X11,X12)),f6(X10))
| ~ p12(X12,f6(X10))
| ~ p12(X11,f6(X10))
| ~ p11(f10(X11),f10(X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0] : p8(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f25,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f26,plain,
! [X0] : p5(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f27,plain,
p12(c15,f6(c13)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f28,plain,
p12(c16,f6(c13)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( p11(X0,X1)
| p11(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f30,plain,
! [X0,X1] : p2(f3(X0,X1),f3(X1,X0)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f43,plain,
! [X8,X9] :
( ! [X7] :
( ! [X6] :
( p12(X6,X7)
| ~ p2(X8,X6) )
| ~ p5(X9,X7) )
| ~ p12(X8,X9) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( p12(X0,X1)
| ~ p2(X2,X0)
| ~ p5(X3,X1)
| ~ p12(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f45,plain,
~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f48,plain,
! [X25,X27] :
( ! [X24,X26] :
( p2(f7(X24,X25),f7(X26,X27))
| ~ p2(X24,X26) )
| ~ p2(X25,X27) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( p2(f7(X0,X1),f7(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f50,plain,
! [X30,X33] :
( ! [X29,X32] :
( ! [X28,X31] :
( p2(f9(X28,X29,X30),f9(X31,X32,X33))
| ~ p4(X28,X31) )
| ~ p8(X29,X32) )
| ~ p2(X30,X33) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] :
( p2(f9(X0,X1,X2),f9(X3,X4,X5))
| ~ p4(X0,X3)
| ~ p8(X1,X4)
| ~ p2(X2,X5) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f54,plain,
! [X11,X12] :
( ! [X10] :
( p12(f7(f9(X10,c14,f3(X11,X12)),f3(X11,X12)),f6(X10))
| ~ p12(X12,f6(X10))
| ~ p12(X11,f6(X10)) )
| ~ p11(f10(X11),f10(X12)) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f55,plain,
! [X0,X1,X2] :
( p12(f7(f9(X0,c14,f3(X1,X2)),f3(X1,X2)),f6(X0))
| ~ p12(X2,f6(X0))
| ~ p12(X1,f6(X0))
| ~ p11(f10(X1),f10(X2)) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ~ p2(X0,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))
| ~ p5(X1,f6(c13))
| ~ p12(X0,X1) ),
inference(resolution,[status(thm)],[f45,f44]) ).
fof(f59,plain,
! [X0] :
( ~ p2(X0,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))
| ~ p12(X0,f6(c13)) ),
inference(resolution,[status(thm)],[f56,f26]) ).
fof(f85,plain,
! [X0,X1,X2] :
( p12(f7(f9(X0,c14,f3(X1,X2)),f3(X1,X2)),f6(X0))
| ~ p12(X2,f6(X0))
| ~ p12(X1,f6(X0))
| p11(f10(X2),f10(X1)) ),
inference(resolution,[status(thm)],[f55,f29]) ).
fof(f86,plain,
( spl0_0
<=> p12(c16,f6(c13)) ),
introduced(split_symbol_definition) ).
fof(f88,plain,
( ~ p12(c16,f6(c13))
| spl0_0 ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f89,plain,
( spl0_1
<=> p12(c15,f6(c13)) ),
introduced(split_symbol_definition) ).
fof(f91,plain,
( ~ p12(c15,f6(c13))
| spl0_1 ),
inference(component_clause,[status(thm)],[f89]) ).
fof(f98,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f91,f27]) ).
fof(f99,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f98]) ).
fof(f100,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f88,f28]) ).
fof(f101,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f100]) ).
fof(f213,plain,
( spl0_9
<=> p11(f10(c16),f10(c15)) ),
introduced(split_symbol_definition) ).
fof(f214,plain,
( p11(f10(c16),f10(c15))
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f216,plain,
( ~ p12(c16,f6(c13))
| ~ p12(c15,f6(c13))
| p11(f10(c16),f10(c15)) ),
inference(resolution,[status(thm)],[f85,f45]) ).
fof(f217,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_9 ),
inference(split_clause,[status(thm)],[f216,f86,f89,f213]) ).
fof(f301,plain,
! [X0] :
( p12(f7(f9(X0,c14,f3(c16,c15)),f3(c16,c15)),f6(X0))
| ~ p12(c15,f6(X0))
| ~ p12(c16,f6(X0))
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f214,f55]) ).
fof(f310,plain,
( spl0_11
<=> p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16))) ),
introduced(split_symbol_definition) ).
fof(f312,plain,
( ~ p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))
| spl0_11 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( ~ p12(c15,f6(c13))
| ~ p12(c16,f6(c13))
| ~ p2(f7(f9(c13,c14,f3(c16,c15)),f3(c16,c15)),f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)))
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f301,f59]) ).
fof(f314,plain,
( ~ spl0_1
| ~ spl0_0
| ~ spl0_11
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f313,f89,f86,f310,f213]) ).
fof(f341,plain,
( spl0_12
<=> p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16))) ),
introduced(split_symbol_definition) ).
fof(f343,plain,
( ~ p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16)))
| spl0_12 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_13
<=> p2(f3(c16,c15),f3(c15,c16)) ),
introduced(split_symbol_definition) ).
fof(f346,plain,
( ~ p2(f3(c16,c15),f3(c15,c16))
| spl0_13 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( ~ p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16)))
| ~ p2(f3(c16,c15),f3(c15,c16))
| spl0_11 ),
inference(resolution,[status(thm)],[f312,f49]) ).
fof(f348,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_11 ),
inference(split_clause,[status(thm)],[f347,f341,f344,f310]) ).
fof(f389,plain,
( spl0_14
<=> p4(c13,c13) ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( ~ p4(c13,c13)
| spl0_14 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( spl0_15
<=> p8(c14,c14) ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( ~ p8(c14,c14)
| spl0_15 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( ~ p4(c13,c13)
| ~ p8(c14,c14)
| ~ p2(f3(c16,c15),f3(c15,c16))
| spl0_12 ),
inference(resolution,[status(thm)],[f343,f51]) ).
fof(f396,plain,
( ~ spl0_14
| ~ spl0_15
| ~ spl0_13
| spl0_12 ),
inference(split_clause,[status(thm)],[f395,f389,f392,f344,f341]) ).
fof(f398,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f346,f30]) ).
fof(f399,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f398]) ).
fof(f400,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f391,f25]) ).
fof(f401,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f400]) ).
fof(f402,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f394,f23]) ).
fof(f403,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f402]) ).
fof(f404,plain,
$false,
inference(sat_refutation,[status(thm)],[f99,f101,f217,f314,f348,f396,f399,f401,f403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SYN576-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 21:52:56 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % Drodi V3.6.0
% 0.21/0.45 % Refutation found
% 0.21/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.45 % Elapsed time: 0.096943 seconds
% 0.21/0.45 % CPU time: 0.676428 seconds
% 0.21/0.45 % Total memory used: 16.068 MB
% 0.21/0.45 % Net memory used: 15.766 MB
%------------------------------------------------------------------------------