TSTP Solution File: SYN581-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN581-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 76 ( 43 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 51 (; 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X18] : p2(X18,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X31] : p5(X31,X31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p2(c18,c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p11(f4(f6(c15,c14)),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X23,X24] :
( p2(f4(X23),f4(X24))
| ~ p2(X23,X24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X19,X20,X18] :
( p2(X19,X20)
| ~ p2(X18,X19)
| ~ p2(X18,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X7,X8,X9,X10] :
( p11(X7,X8)
| ~ p2(X9,X7)
| ~ p2(X10,X8)
| ~ p11(X9,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X25,X26,X27,X28] :
( p2(f6(X25,X26),f6(X27,X28))
| ~ p2(X26,X28)
| ~ p5(X25,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f28,plain,
! [X0] : p5(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f30,plain,
p2(c18,c14),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f33,plain,
p11(f4(f6(c15,c14)),c16),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f34,plain,
~ p11(f4(f6(c15,c18)),c16),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f39,plain,
! [X0,X1] :
( p2(f4(X0),f4(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f44,plain,
! [X20,X18] :
( ! [X19] :
( p2(X19,X20)
| ~ p2(X18,X19) )
| ~ p2(X18,X20) ),
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(f49,plain,
! [X9,X10] :
( ! [X8] :
( ! [X7] :
( p11(X7,X8)
| ~ p2(X9,X7) )
| ~ p2(X10,X8) )
| ~ p11(X9,X10) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( p11(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p11(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f53,plain,
! [X25,X27] :
( ! [X26,X28] :
( p2(f6(X25,X26),f6(X27,X28))
| ~ p2(X26,X28) )
| ~ p5(X25,X27) ),
inference(miniscoping,[status(esa)],[f23]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( p2(f6(X0,X1),f6(X2,X3))
| ~ p2(X1,X3)
| ~ p5(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f69,plain,
! [X0,X1] :
( ~ p2(X0,f4(f6(c15,c18)))
| ~ p2(X1,c16)
| ~ p11(X0,X1) ),
inference(resolution,[status(thm)],[f50,f34]) ).
fof(f75,plain,
! [X0] :
( ~ p2(X0,f4(f6(c15,c18)))
| ~ p11(X0,c16) ),
inference(resolution,[status(thm)],[f69,f27]) ).
fof(f77,plain,
! [X0,X1] :
( ~ p11(X0,c16)
| ~ p2(X1,X0)
| ~ p2(X1,f4(f6(c15,c18))) ),
inference(resolution,[status(thm)],[f75,f45]) ).
fof(f209,plain,
! [X0] :
( ~ p11(X0,c16)
| ~ p2(f4(f6(c15,c18)),X0) ),
inference(resolution,[status(thm)],[f77,f27]) ).
fof(f210,plain,
! [X0] :
( ~ p11(f4(X0),c16)
| ~ p2(f6(c15,c18),X0) ),
inference(resolution,[status(thm)],[f209,f39]) ).
fof(f213,plain,
! [X0,X1] :
( ~ p11(f4(f6(X0,X1)),c16)
| ~ p2(c18,X1)
| ~ p5(c15,X0) ),
inference(resolution,[status(thm)],[f210,f54]) ).
fof(f231,plain,
! [X0] :
( ~ p11(f4(f6(c15,X0)),c16)
| ~ p2(c18,X0) ),
inference(resolution,[status(thm)],[f213,f28]) ).
fof(f232,plain,
~ p11(f4(f6(c15,c14)),c16),
inference(resolution,[status(thm)],[f231,f30]) ).
fof(f233,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f232,f33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN581-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:26:55 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.38 % Elapsed time: 0.028116 seconds
% 0.13/0.38 % CPU time: 0.102211 seconds
% 0.13/0.38 % Memory used: 2.592 MB
%------------------------------------------------------------------------------