TSTP Solution File: SYN586-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN586-1 : 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 : Wed May 31 12:47:10 EDT 2023
% Result : Unsatisfiable 0.19s 0.43s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 13 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 39 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 68 (; 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X24] : p3(X24,X24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X13] : p2(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X27,X28] :
( p3(f11(X27),f11(X28))
| ~ p3(X27,X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X14,X15,X13] :
( p2(X14,X15)
| ~ p2(X13,X14)
| ~ p2(X13,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X9,X10,X11,X12] :
( p15(X9,X10)
| ~ p2(X11,X9)
| ~ p2(X12,X10)
| ~ p15(X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X16,X17,X18,X19] :
( p2(f4(X16,X17),f4(X18,X19))
| ~ p2(X16,X18)
| ~ p3(X17,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f30,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f31,plain,
p3(c21,c19),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f38,plain,
! [X0,X1] :
( p3(f11(X0),f11(X1))
| ~ p3(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f45,plain,
! [X15,X13] :
( ! [X14] :
( p2(X14,X15)
| ~ p2(X13,X14) )
| ~ p2(X13,X15) ),
inference(miniscoping,[status(esa)],[f16]) ).
fof(f46,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f47,plain,
! [X11,X12] :
( ! [X10] :
( ! [X9] :
( p15(X9,X10)
| ~ p2(X11,X9) )
| ~ p2(X12,X10) )
| ~ p15(X11,X12) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( p15(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X3,X1)
| ~ p15(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f52,plain,
! [X17,X19] :
( ! [X16,X18] :
( p2(f4(X16,X17),f4(X18,X19))
| ~ p2(X16,X18) )
| ~ p3(X17,X19) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f53,plain,
! [X0,X1,X2,X3] :
( p2(f4(X0,X1),f4(X2,X3))
| ~ p2(X0,X2)
| ~ p3(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f56,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f57,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f67,plain,
! [X0,X1] :
( p2(X0,X1)
| ~ p2(X1,X0) ),
inference(resolution,[status(thm)],[f46,f30]) ).
fof(f76,plain,
! [X0,X1,X2] :
( p2(f4(X0,X1),f4(X0,X2))
| ~ p3(X1,X2) ),
inference(resolution,[status(thm)],[f53,f30]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ p3(X0,X1)
| p2(f4(X2,X1),f4(X2,X0)) ),
inference(resolution,[status(thm)],[f76,f67]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ~ p3(X0,X1)
| p2(X2,f4(X3,X1))
| ~ p2(f4(X3,X0),X2) ),
inference(resolution,[status(thm)],[f76,f46]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ p3(X0,X1)
| p2(f4(X2,X3),f4(X2,X1))
| ~ p3(X3,X0) ),
inference(resolution,[status(thm)],[f80,f78]) ).
fof(f107,plain,
! [X0,X1] :
( p15(X0,X1)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X0)
| ~ p2(c20,X1) ),
inference(resolution,[status(thm)],[f56,f48]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( ~ p3(f11(X0),X1)
| p2(f4(X2,f11(X3)),f4(X2,X1))
| ~ p3(X3,X0) ),
inference(resolution,[status(thm)],[f103,f38]) ).
fof(f371,plain,
! [X0] :
( p15(X0,c20)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),X0) ),
inference(resolution,[status(thm)],[f107,f30]) ).
fof(f434,plain,
! [X0,X1,X2] :
( p2(f4(X0,f11(X1)),f4(X0,f11(X2)))
| ~ p3(X1,X2) ),
inference(resolution,[status(thm)],[f139,f29]) ).
fof(f593,plain,
! [X0] : p2(f4(X0,f11(c21)),f4(X0,f11(c19))),
inference(resolution,[status(thm)],[f434,f31]) ).
fof(f723,plain,
~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19))),
inference(resolution,[status(thm)],[f371,f57]) ).
fof(f724,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f723,f593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN586-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n004.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 10:19:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % Drodi V3.5.1
% 0.19/0.43 % Refutation found
% 0.19/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.44 % Elapsed time: 0.097099 seconds
% 0.19/0.44 % CPU time: 0.667285 seconds
% 0.19/0.44 % Memory used: 12.406 MB
%------------------------------------------------------------------------------