TSTP Solution File: SYN617-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN617-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:47:14 EDT 2023
% Result : Unsatisfiable 0.10s 0.35s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 17 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 99 ( 58 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 72 (; 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X27] : p2(X27,X27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X11] : p13(X11,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p19(c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X5,X6] : p11(f12(f14(X5,X6)),X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X18,X19] : p13(f15(f3(X18),X19),f15(X18,f12(X19))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X12,X13,X11] :
( p13(X12,X13)
| ~ p13(X11,X12)
| ~ p13(X11,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X14,X15,X16,X17] :
( p13(f15(X14,X15),f15(X16,X17))
| ~ p11(X15,X17)
| ~ p2(X14,X16) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X36,X37] :
( p2(f4(f4(f3(X36),f5(f6(c20))),X37),f3(f4(f4(X36,f5(f6(c20))),X37)))
| ~ p19(X37,X36) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,plain,
! [X0] : p11(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f36,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f37,plain,
! [X0] : p13(X0,X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f38,plain,
p19(c21,c22),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f39,plain,
! [X0,X1] : p11(f12(f14(X0,X1)),X1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f51,plain,
! [X0,X1] : p13(f15(f3(X0),X1),f15(X0,f12(X1))),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f60,plain,
! [X13,X11] :
( ! [X12] :
( p13(X12,X13)
| ~ p13(X11,X12) )
| ~ p13(X11,X13) ),
inference(miniscoping,[status(esa)],[f24]) ).
fof(f61,plain,
! [X0,X1,X2] :
( p13(X0,X1)
| ~ p13(X2,X0)
| ~ p13(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f68,plain,
! [X14,X16] :
( ! [X15,X17] :
( p13(f15(X14,X15),f15(X16,X17))
| ~ p11(X15,X17) )
| ~ p2(X14,X16) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( p13(f15(X0,X1),f15(X2,X3))
| ~ p11(X1,X3)
| ~ p2(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f74,plain,
! [X0,X1] :
( p2(f4(f4(f3(X0),f5(f6(c20))),X1),f3(f4(f4(X0,f5(f6(c20))),X1)))
| ~ p19(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f75,plain,
~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f84,plain,
! [X0] :
( ~ p13(X0,f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)))
| ~ p13(X0,f15(f4(f4(c22,f5(f6(c20))),c21),c24)) ),
inference(resolution,[status(thm)],[f75,f61]) ).
fof(f85,plain,
! [X0,X1] :
( ~ p13(f15(X0,X1),f15(f4(f4(c22,f5(f6(c20))),c21),c24))
| ~ p11(X1,f14(c23,c24))
| ~ p2(X0,f4(f4(f3(c22),f5(f6(c20))),c21)) ),
inference(resolution,[status(thm)],[f84,f69]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ p11(X0,f14(c23,c24))
| ~ p2(X1,f4(f4(f3(c22),f5(f6(c20))),c21))
| ~ p13(X2,f15(X1,X0))
| ~ p13(X2,f15(f4(f4(c22,f5(f6(c20))),c21),c24)) ),
inference(resolution,[status(thm)],[f85,f61]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ~ p11(X0,f14(c23,c24))
| ~ p2(X1,f4(f4(f3(c22),f5(f6(c20))),c21))
| ~ p13(f15(X2,X3),f15(X1,X0))
| ~ p11(X3,c24)
| ~ p2(X2,f4(f4(c22,f5(f6(c20))),c21)) ),
inference(resolution,[status(thm)],[f96,f69]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ~ p11(X0,f14(c23,c24))
| ~ p13(f15(X1,X2),f15(f4(f4(f3(c22),f5(f6(c20))),c21),X0))
| ~ p11(X2,c24)
| ~ p2(X1,f4(f4(c22,f5(f6(c20))),c21)) ),
inference(resolution,[status(thm)],[f108,f36]) ).
fof(f265,plain,
! [X0,X1] :
( ~ p11(X0,f14(c23,c24))
| ~ p13(f15(f4(f4(c22,f5(f6(c20))),c21),X1),f15(f4(f4(f3(c22),f5(f6(c20))),c21),X0))
| ~ p11(X1,c24) ),
inference(resolution,[status(thm)],[f245,f36]) ).
fof(f271,plain,
! [X0,X1,X2] :
( ~ p11(X0,f14(c23,c24))
| ~ p11(X1,c24)
| ~ p13(X2,f15(f4(f4(c22,f5(f6(c20))),c21),X1))
| ~ p13(X2,f15(f4(f4(f3(c22),f5(f6(c20))),c21),X0)) ),
inference(resolution,[status(thm)],[f265,f61]) ).
fof(f275,plain,
! [X0,X1,X2] :
( ~ p11(X0,f14(c23,c24))
| ~ p13(X1,f15(f4(f4(c22,f5(f6(c20))),c21),f12(f14(X2,c24))))
| ~ p13(X1,f15(f4(f4(f3(c22),f5(f6(c20))),c21),X0)) ),
inference(resolution,[status(thm)],[f271,f39]) ).
fof(f332,plain,
! [X0,X1] :
( ~ p13(X0,f15(f4(f4(c22,f5(f6(c20))),c21),f12(f14(X1,c24))))
| ~ p13(X0,f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24))) ),
inference(resolution,[status(thm)],[f275,f33]) ).
fof(f334,plain,
! [X0,X1,X2] :
( ~ p13(X0,f15(f4(f4(c22,f5(f6(c20))),c21),f12(f14(X1,c24))))
| ~ p13(X2,X0)
| ~ p13(X2,f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24))) ),
inference(resolution,[status(thm)],[f332,f61]) ).
fof(f353,plain,
! [X0,X1] :
( ~ p13(X0,f15(f4(f4(c22,f5(f6(c20))),c21),f12(f14(X1,c24))))
| ~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),X0) ),
inference(resolution,[status(thm)],[f334,f37]) ).
fof(f444,plain,
! [X0,X1,X2] :
( ~ p13(f15(X0,X1),f15(f4(f4(c22,f5(f6(c20))),c21),f12(f14(X2,c24))))
| ~ p11(f14(c23,c24),X1)
| ~ p2(f4(f4(f3(c22),f5(f6(c20))),c21),X0) ),
inference(resolution,[status(thm)],[f353,f69]) ).
fof(f455,plain,
! [X0,X1] :
( ~ p13(f15(X0,f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),f12(f14(X1,c24))))
| ~ p2(f4(f4(f3(c22),f5(f6(c20))),c21),X0) ),
inference(resolution,[status(thm)],[f444,f33]) ).
fof(f456,plain,
~ p2(f4(f4(f3(c22),f5(f6(c20))),c21),f3(f4(f4(c22,f5(f6(c20))),c21))),
inference(resolution,[status(thm)],[f455,f51]) ).
fof(f462,plain,
~ p19(c21,c22),
inference(resolution,[status(thm)],[f456,f74]) ).
fof(f463,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f462,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07 % Problem : SYN617-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.26 % Computer : n028.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Tue May 30 10:40:17 EDT 2023
% 0.06/0.26 % CPUTime :
% 0.06/0.27 % Drodi V3.5.1
% 0.10/0.35 % Refutation found
% 0.10/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.36 % Elapsed time: 0.098280 seconds
% 0.10/0.36 % CPU time: 0.683975 seconds
% 0.10/0.36 % Memory used: 42.848 MB
%------------------------------------------------------------------------------