TSTP Solution File: SYN578-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN578-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:47:09 EDT 2023
% Result : Unsatisfiable 0.20s 0.39s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 21
% Syntax : Number of formulae : 75 ( 16 unt; 0 def)
% Number of atoms : 171 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 181 ( 85 ~; 88 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 59 (; 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X21] : p7(X21,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X7] : p2(X7,X7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X17] : p3(f4(f5(X17)),f4(X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X32] :
( p9(X32,f4(c16))
| ~ p9(X32,c13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X15,X16] :
( p3(f4(X15),f4(X16))
| ~ p2(X15,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X13,X14,X12] :
( p3(X13,X14)
| ~ p3(X12,X13)
| ~ p3(X12,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X8,X9,X7] :
( p2(X8,X9)
| ~ p2(X7,X8)
| ~ p2(X7,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X28,X29,X31,X30] :
( p9(X28,X29)
| ~ p7(X31,X28)
| ~ p9(X31,X30)
| ~ p3(X30,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X33,X34] :
( p9(f8(X33,X34),X33)
| p9(f8(X33,X34),f4(X34))
| ~ p11(X34,c15)
| ~ p9(c12,X33) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X34,X33] :
( ~ p11(X34,c15)
| ~ p9(c12,X33)
| ~ p9(f8(X33,X34),X33)
| ~ p9(f8(X33,X34),f4(X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f27,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f28,plain,
p9(c12,c13),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f29,plain,
p11(c14,c15),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f30,plain,
p2(c16,f5(c14)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f31,plain,
! [X0] : p3(f4(f5(X0)),f4(X0)),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f34,plain,
! [X0] :
( p9(X0,f4(c16))
| ~ p9(X0,c13) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f37,plain,
! [X0,X1] :
( p3(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f42,plain,
! [X14,X12] :
( ! [X13] :
( p3(X13,X14)
| ~ p3(X12,X13) )
| ~ p3(X12,X14) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f43,plain,
! [X0,X1,X2] :
( p3(X0,X1)
| ~ p3(X2,X0)
| ~ p3(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [X9,X7] :
( ! [X8] :
( p2(X8,X9)
| ~ p2(X7,X8) )
| ~ p2(X7,X9) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f45,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f48,plain,
! [X29,X30] :
( ! [X31] :
( ! [X28] :
( p9(X28,X29)
| ~ p7(X31,X28) )
| ~ p9(X31,X30) )
| ~ p3(X30,X29) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( p9(X0,X1)
| ~ p7(X2,X0)
| ~ p9(X2,X3)
| ~ p3(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f52,plain,
! [X33] :
( ! [X34] :
( p9(f8(X33,X34),X33)
| p9(f8(X33,X34),f4(X34))
| ~ p11(X34,c15) )
| ~ p9(c12,X33) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f53,plain,
! [X0,X1] :
( p9(f8(X0,X1),X0)
| p9(f8(X0,X1),f4(X1))
| ~ p11(X1,c15)
| ~ p9(c12,X0) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( ~ p11(X0,c15)
| ~ p9(c12,X1)
| ~ p9(f8(X1,X0),X1)
| ~ p9(f8(X1,X0),f4(X0)) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f64,plain,
! [X0] :
( ~ p9(c12,X0)
| ~ p9(f8(X0,c14),X0)
| ~ p9(f8(X0,c14),f4(c14)) ),
inference(resolution,[status(thm)],[f54,f29]) ).
fof(f69,plain,
( spl0_3
<=> p11(c14,c15) ),
introduced(split_symbol_definition) ).
fof(f71,plain,
( ~ p11(c14,c15)
| spl0_3 ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f75,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f71,f29]) ).
fof(f76,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f75]) ).
fof(f80,plain,
( spl0_4
<=> p9(c12,f4(c14)) ),
introduced(split_symbol_definition) ).
fof(f82,plain,
( ~ p9(c12,f4(c14))
| spl0_4 ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f86,plain,
( spl0_6
<=> p9(f8(f4(c14),c14),f4(c14)) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( p9(f8(f4(c14),c14),f4(c14))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f88,plain,
( ~ p9(f8(f4(c14),c14),f4(c14))
| spl0_6 ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f91,plain,
( spl0_7
<=> p9(c12,c13) ),
introduced(split_symbol_definition) ).
fof(f93,plain,
( ~ p9(c12,c13)
| spl0_7 ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f102,plain,
( spl0_10
<=> p9(c12,f4(c16)) ),
introduced(split_symbol_definition) ).
fof(f104,plain,
( ~ p9(c12,f4(c16))
| spl0_10 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f114,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f28]) ).
fof(f115,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f114]) ).
fof(f136,plain,
( ~ p9(c12,c13)
| spl0_10 ),
inference(resolution,[status(thm)],[f104,f34]) ).
fof(f137,plain,
( ~ spl0_7
| spl0_10 ),
inference(split_clause,[status(thm)],[f136,f91,f102]) ).
fof(f139,plain,
! [X0,X1] :
( ~ p7(X0,c12)
| ~ p9(X0,X1)
| ~ p3(X1,f4(c14))
| spl0_4 ),
inference(resolution,[status(thm)],[f82,f49]) ).
fof(f159,plain,
( spl0_16
<=> p3(f4(c16),f4(c14)) ),
introduced(split_symbol_definition) ).
fof(f160,plain,
( p3(f4(c16),f4(c14))
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f161,plain,
( ~ p3(f4(c16),f4(c14))
| spl0_16 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f169,plain,
! [X0] :
( ~ p3(X0,f4(c16))
| ~ p3(X0,f4(c14))
| spl0_16 ),
inference(resolution,[status(thm)],[f161,f43]) ).
fof(f176,plain,
! [X0] :
( ~ p3(f4(X0),f4(c14))
| ~ p2(X0,c16)
| spl0_16 ),
inference(resolution,[status(thm)],[f169,f37]) ).
fof(f204,plain,
! [X0] :
( ~ p9(c12,X0)
| ~ p3(X0,f4(c14))
| spl0_4 ),
inference(resolution,[status(thm)],[f139,f25]) ).
fof(f307,plain,
( spl0_26
<=> p2(f5(c14),c16) ),
introduced(split_symbol_definition) ).
fof(f308,plain,
( p2(f5(c14),c16)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f309,plain,
( ~ p2(f5(c14),c16)
| spl0_26 ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f339,plain,
( spl0_28
<=> p2(c16,f5(c14)) ),
introduced(split_symbol_definition) ).
fof(f341,plain,
( ~ p2(c16,f5(c14))
| spl0_28 ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f345,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f30]) ).
fof(f346,plain,
spl0_28,
inference(contradiction_clause,[status(thm)],[f345]) ).
fof(f375,plain,
! [X0] :
( ~ p2(X0,f5(c14))
| ~ p2(X0,c16)
| spl0_26 ),
inference(resolution,[status(thm)],[f309,f45]) ).
fof(f380,plain,
( ~ p2(c16,f5(c14))
| spl0_26 ),
inference(resolution,[status(thm)],[f375,f27]) ).
fof(f381,plain,
( ~ spl0_28
| spl0_26 ),
inference(split_clause,[status(thm)],[f380,f339,f307]) ).
fof(f383,plain,
( ~ p3(f4(f5(c14)),f4(c14))
| ~ spl0_26
| spl0_16 ),
inference(resolution,[status(thm)],[f308,f176]) ).
fof(f384,plain,
( $false
| ~ spl0_26
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f31]) ).
fof(f385,plain,
( ~ spl0_26
| spl0_16 ),
inference(contradiction_clause,[status(thm)],[f384]) ).
fof(f395,plain,
( ~ p9(c12,f4(c16))
| ~ spl0_16
| spl0_4 ),
inference(resolution,[status(thm)],[f160,f204]) ).
fof(f396,plain,
( ~ spl0_10
| ~ spl0_16
| spl0_4 ),
inference(split_clause,[status(thm)],[f395,f102,f159,f80]) ).
fof(f403,plain,
( ~ p9(c12,f4(c14))
| ~ p9(f8(f4(c14),c14),f4(c14))
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f87,f64]) ).
fof(f404,plain,
( ~ spl0_4
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f403,f80,f86]) ).
fof(f421,plain,
( p9(f8(f4(c14),c14),f4(c14))
| ~ p11(c14,c15)
| ~ p9(c12,f4(c14))
| spl0_6 ),
inference(resolution,[status(thm)],[f88,f53]) ).
fof(f422,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f421,f86,f69,f80]) ).
fof(f424,plain,
$false,
inference(sat_refutation,[status(thm)],[f76,f115,f137,f346,f381,f385,f396,f404,f422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN578-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue May 30 10:55:14 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.20/0.39 % Refutation found
% 0.20/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.40 % Elapsed time: 0.065059 seconds
% 0.20/0.40 % CPU time: 0.415096 seconds
% 0.20/0.40 % Memory used: 7.452 MB
%------------------------------------------------------------------------------