TSTP Solution File: SYN005-1.010 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SYN005-1.010 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 : Tue Apr 30 20:51:00 EDT 2024
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 22 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 138 ( 75 ~; 63 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( ~ p_1(X1,X2)
| ~ p_2(X2,X3)
| ~ p_3(X3,X4)
| ~ p_4(X4,X5)
| ~ p_5(X5,X6)
| ~ p_6(X6,X7)
| ~ p_7(X7,X8)
| ~ p_8(X8,X9)
| ~ p_9(X9,X10)
| ~ p_10(X10,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p_1(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p_2(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p_3(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p_4(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p_5(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p_6(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p_7(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p_8(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
p_9(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
p_10(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X1,X10] :
( ! [X9] :
( ! [X8] :
( ! [X7] :
( ! [X6] :
( ! [X5] :
( ! [X4] :
( ! [X3] :
( ! [X2] :
( ~ p_1(X1,X2)
| ~ p_2(X2,X3) )
| ~ p_3(X3,X4) )
| ~ p_4(X4,X5) )
| ~ p_5(X5,X6) )
| ~ p_6(X6,X7) )
| ~ p_7(X7,X8) )
| ~ p_8(X8,X9) )
| ~ p_9(X9,X10) )
| ~ p_10(X10,X1) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ p_1(X0,X1)
| ~ p_2(X1,X2)
| ~ p_3(X2,X3)
| ~ p_4(X3,X4)
| ~ p_5(X4,X5)
| ~ p_6(X5,X6)
| ~ p_7(X6,X7)
| ~ p_8(X7,X8)
| ~ p_9(X8,X9)
| ~ p_10(X9,X0) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f14,plain,
p_1(a,a),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f15,plain,
p_2(a,a),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f16,plain,
p_3(a,a),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f17,plain,
p_4(a,a),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f18,plain,
p_5(a,a),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f19,plain,
p_6(a,a),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f20,plain,
p_7(a,a),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f21,plain,
p_8(a,a),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f22,plain,
p_9(a,a),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f23,plain,
p_10(a,a),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ p_1(X0,X1)
| ~ p_2(X1,X2)
| ~ p_3(X2,X3)
| ~ p_4(X3,X4)
| ~ p_5(X4,X5)
| ~ p_6(X5,a)
| ~ p_8(a,X6)
| ~ p_9(X6,X7)
| ~ p_10(X7,X0) ),
inference(resolution,[status(thm)],[f20,f13]) ).
fof(f28,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p_1(X0,X1)
| ~ p_2(X1,X2)
| ~ p_3(X2,X3)
| ~ p_4(X3,X4)
| ~ p_5(X4,X5)
| ~ p_6(X5,a)
| ~ p_9(a,X6)
| ~ p_10(X6,X0) ),
inference(resolution,[status(thm)],[f24,f21]) ).
fof(f29,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p_1(X0,X1)
| ~ p_2(X1,X2)
| ~ p_3(X2,X3)
| ~ p_4(X3,X4)
| ~ p_5(X4,X5)
| ~ p_6(X5,a)
| ~ p_10(a,X0) ),
inference(resolution,[status(thm)],[f28,f22]) ).
fof(f30,plain,
! [X0,X1,X2,X3,X4] :
( ~ p_1(a,X0)
| ~ p_2(X0,X1)
| ~ p_3(X1,X2)
| ~ p_4(X2,X3)
| ~ p_5(X3,X4)
| ~ p_6(X4,a) ),
inference(resolution,[status(thm)],[f29,f23]) ).
fof(f31,plain,
! [X0,X1,X2,X3] :
( ~ p_1(a,X0)
| ~ p_2(X0,X1)
| ~ p_3(X1,X2)
| ~ p_4(X2,X3)
| ~ p_5(X3,a) ),
inference(resolution,[status(thm)],[f30,f19]) ).
fof(f32,plain,
! [X0,X1,X2] :
( ~ p_1(a,X0)
| ~ p_2(X0,X1)
| ~ p_3(X1,X2)
| ~ p_4(X2,a) ),
inference(resolution,[status(thm)],[f31,f18]) ).
fof(f35,plain,
! [X0,X1] :
( ~ p_1(a,X0)
| ~ p_2(X0,X1)
| ~ p_3(X1,a) ),
inference(resolution,[status(thm)],[f32,f17]) ).
fof(f36,plain,
! [X0] :
( ~ p_1(a,X0)
| ~ p_2(X0,a) ),
inference(resolution,[status(thm)],[f35,f16]) ).
fof(f37,plain,
~ p_1(a,a),
inference(resolution,[status(thm)],[f36,f15]) ).
fof(f38,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f37,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN005-1.010 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n015.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 : Mon Apr 29 22:24:47 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.6.0
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36 % Elapsed time: 0.016171 seconds
% 0.13/0.36 % CPU time: 0.021868 seconds
% 0.13/0.36 % Total memory used: 5.607 MB
% 0.13/0.36 % Net memory used: 5.590 MB
%------------------------------------------------------------------------------