TSTP Solution File: SYN572-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN572-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 12:47:08 EDT 2023
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 23 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 38 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 100 (; 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X6] : p2(X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X22] : p4(X22,X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X27] : p4(f10(f9(X27)),f10(X27)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X13] : p2(f3(X13,f5(f7(f8(c13)))),X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X25,X26] :
( p4(f10(X25),f10(X26))
| ~ p2(X25,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X14] : p2(f3(X14,f9(X14)),f5(f7(f8(c13)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X7,X8,X6] :
( p2(X7,X8)
| ~ p2(X6,X7)
| ~ p2(X6,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X4,X5] : p12(f10(f3(X4,X5)),f11(f10(X4),f10(X5))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X15,X16,X17] : p2(f3(X15,f3(X16,X17)),f3(f3(X15,X16),X17)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X0,X1,X2,X3] :
( p12(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X3,X1)
| ~ p12(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X28,X29,X30,X31] :
( p4(f11(X28,X29),f11(X30,X31))
| ~ p4(X28,X30)
| ~ p4(X29,X31) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X9,X10,X11,X12] :
( p2(f3(X9,X10),f3(X11,X12))
| ~ p2(X9,X11)
| ~ p2(X10,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f23,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f24,plain,
! [X0] : p4(f10(f9(X0)),f10(X0)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f25,plain,
! [X0] : p2(f3(X0,f5(f7(f8(c13)))),X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f29,plain,
! [X0,X1] :
( p4(f10(X0),f10(X1))
| ~ p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f31,plain,
! [X0] : p2(f3(X0,f9(X0)),f5(f7(f8(c13)))),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f32,plain,
! [X8,X6] :
( ! [X7] :
( p2(X7,X8)
| ~ p2(X6,X7) )
| ~ p2(X6,X8) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f33,plain,
! [X0,X1,X2] :
( p2(X0,X1)
| ~ p2(X2,X0)
| ~ p2(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f38,plain,
! [X0,X1] : p12(f10(f3(X0,X1)),f11(f10(X0),f10(X1))),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f39,plain,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f40,plain,
! [X0,X1,X2] : p2(f3(X0,f3(X1,X2)),f3(f3(X0,X1),X2)),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f41,plain,
! [X2,X3] :
( ! [X1] :
( ! [X0] :
( p12(X0,X1)
| ~ p4(X2,X0) )
| ~ p4(X3,X1) )
| ~ p12(X2,X3) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f42,plain,
! [X0,X1,X2,X3] :
( p12(X0,X1)
| ~ p4(X2,X0)
| ~ p4(X3,X1)
| ~ p12(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
! [X29,X31] :
( ! [X28,X30] :
( p4(f11(X28,X29),f11(X30,X31))
| ~ p4(X28,X30) )
| ~ p4(X29,X31) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( p4(f11(X0,X1),f11(X2,X3))
| ~ p4(X0,X2)
| ~ p4(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f45,plain,
! [X10,X12] :
( ! [X9,X11] :
( p2(f3(X9,X10),f3(X11,X12))
| ~ p2(X9,X11) )
| ~ p2(X10,X12) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( p2(f3(X0,X1),f3(X2,X3))
| ~ p2(X0,X2)
| ~ p2(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f55,plain,
! [X0,X1] :
( p2(X0,X1)
| ~ p2(f3(X1,f5(f7(f8(c13)))),X0) ),
inference(resolution,[status(thm)],[f33,f25]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( p2(X0,f3(f3(X1,X2),X3))
| ~ p2(f3(X1,f3(X2,X3)),X0) ),
inference(resolution,[status(thm)],[f40,f33]) ).
fof(f121,plain,
! [X0,X1,X2,X3] :
( p12(X0,X1)
| ~ p4(f10(f3(X2,X3)),X0)
| ~ p4(f11(f10(X2),f10(X3)),X1) ),
inference(resolution,[status(thm)],[f42,f38]) ).
fof(f125,plain,
! [X0,X1,X2] :
( p4(f11(X0,f10(f9(X1))),f11(X2,f10(X1)))
| ~ p4(X0,X2) ),
inference(resolution,[status(thm)],[f44,f24]) ).
fof(f133,plain,
! [X0,X1,X2] :
( p2(f3(X0,f3(X1,f9(X1))),f3(X2,f5(f7(f8(c13)))))
| ~ p2(X0,X2) ),
inference(resolution,[status(thm)],[f46,f31]) ).
fof(f459,plain,
! [X0,X1] : p4(f11(X0,f10(f9(X1))),f11(X0,f10(X1))),
inference(resolution,[status(thm)],[f125,f23]) ).
fof(f529,plain,
! [X0,X1,X2] :
( p12(X0,f11(f10(X1),f10(X2)))
| ~ p4(f10(f3(X1,f9(X2))),X0) ),
inference(resolution,[status(thm)],[f121,f459]) ).
fof(f571,plain,
! [X0,X1] : p2(f3(X0,f3(X1,f9(X1))),f3(X0,f5(f7(f8(c13))))),
inference(resolution,[status(thm)],[f133,f21]) ).
fof(f3251,plain,
! [X0,X1] : p2(f3(X0,f5(f7(f8(c13)))),f3(f3(X0,X1),f9(X1))),
inference(resolution,[status(thm)],[f571,f111]) ).
fof(f4434,plain,
! [X0,X1] : p2(f3(f3(X0,X1),f9(X1)),X0),
inference(resolution,[status(thm)],[f3251,f55]) ).
fof(f4462,plain,
! [X0,X1] : p4(f10(f3(f3(X0,X1),f9(X1))),f10(X0)),
inference(resolution,[status(thm)],[f4434,f29]) ).
fof(f4808,plain,
! [X0,X1] : p12(f10(X0),f11(f10(f3(X0,X1)),f10(X1))),
inference(resolution,[status(thm)],[f4462,f529]) ).
fof(f5604,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f39,f4808]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SYN572-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue May 30 10:29:45 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.12/0.29 % Drodi V3.5.1
% 0.12/0.34 % Refutation found
% 0.12/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.35 % Elapsed time: 0.066778 seconds
% 0.12/0.35 % CPU time: 0.430389 seconds
% 0.12/0.35 % Memory used: 25.552 MB
%------------------------------------------------------------------------------