TSTP Solution File: MGT058-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MGT058-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n025.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 12:21:26 EDT 2023
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 24
% Syntax : Number of formulae : 76 ( 15 unt; 0 def)
% Number of atoms : 163 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 145 ( 58 ~; 77 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 45 (; 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [A,B] :
( ~ smaller(A,B)
| smaller_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] :
( A != B
| smaller_or_equal(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] :
( ~ greater_or_equal(A,B)
| greater(A,B)
| A = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B] :
( ~ smaller(A,B)
| greater(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B] :
( ~ greater(A,B)
| smaller(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] :
( ~ greater(A,B)
| ~ greater(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] :
( smaller(A,B)
| A = B
| greater(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A,B] :
( ~ fragile_position(A)
| ~ smaller_or_equal(age(A,B),sigma)
| positional_advantage(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [A,B] :
( ~ robust_position(A)
| ~ smaller_or_equal(age(A,B),tau)
| ~ positional_advantage(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
age(sk3,sk4) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
greater_or_equal(sigma,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
greater_or_equal(tau,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
fragile_position(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
robust_position(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f32,plain,
! [X0,X1] :
( X0 != X1
| smaller_or_equal(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f33,plain,
! [X0,X1] :
( ~ greater_or_equal(X0,X1)
| greater(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f36,plain,
! [X0,X1] :
( ~ smaller(X0,X1)
| greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f37,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| smaller(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f38,plain,
! [X0,X1] :
( ~ greater(X0,X1)
| ~ greater(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f41,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| greater(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f42,plain,
! [X0,X1] :
( ~ fragile_position(X0)
| ~ smaller_or_equal(age(X0,X1),sigma)
| positional_advantage(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f48,plain,
! [X0,X1] :
( ~ robust_position(X0)
| ~ smaller_or_equal(age(X0,X1),tau)
| ~ positional_advantage(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f55,plain,
age(sk3,sk4) = zero,
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f56,plain,
greater_or_equal(sigma,zero),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f57,plain,
greater_or_equal(tau,zero),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f58,plain,
fragile_position(sk3),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f59,plain,
robust_position(sk3),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f60,plain,
! [X0] : smaller_or_equal(X0,X0),
inference(destructive_equality_resolution,[status(esa)],[f32]) ).
fof(f62,plain,
( spl0_0
<=> greater(tau,zero) ),
introduced(split_symbol_definition) ).
fof(f63,plain,
( greater(tau,zero)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f62]) ).
fof(f65,plain,
( spl0_1
<=> tau = zero ),
introduced(split_symbol_definition) ).
fof(f66,plain,
( tau = zero
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f65]) ).
fof(f68,plain,
( greater(tau,zero)
| tau = zero ),
inference(resolution,[status(thm)],[f33,f57]) ).
fof(f69,plain,
( spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f68,f62,f65]) ).
fof(f70,plain,
( spl0_2
<=> greater(sigma,zero) ),
introduced(split_symbol_definition) ).
fof(f71,plain,
( greater(sigma,zero)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( spl0_3
<=> sigma = zero ),
introduced(split_symbol_definition) ).
fof(f74,plain,
( sigma = zero
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( greater(sigma,zero)
| sigma = zero ),
inference(resolution,[status(thm)],[f33,f56]) ).
fof(f77,plain,
( spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f76,f70,f73]) ).
fof(f78,plain,
( spl0_4
<=> fragile_position(sk3) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( ~ fragile_position(sk3)
| spl0_4 ),
inference(component_clause,[status(thm)],[f78]) ).
fof(f81,plain,
( spl0_5
<=> smaller_or_equal(zero,sigma) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( spl0_6
<=> positional_advantage(sk3,sk4) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( ~ fragile_position(sk3)
| ~ smaller_or_equal(zero,sigma)
| positional_advantage(sk3,sk4) ),
inference(paramodulation,[status(thm)],[f55,f42]) ).
fof(f88,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f87,f78,f81,f84]) ).
fof(f94,plain,
( spl0_8
<=> robust_position(sk3) ),
introduced(split_symbol_definition) ).
fof(f96,plain,
( ~ robust_position(sk3)
| spl0_8 ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,plain,
( spl0_9
<=> smaller_or_equal(zero,tau) ),
introduced(split_symbol_definition) ).
fof(f99,plain,
( ~ smaller_or_equal(zero,tau)
| spl0_9 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,plain,
( ~ robust_position(sk3)
| ~ smaller_or_equal(zero,tau)
| ~ positional_advantage(sk3,sk4) ),
inference(paramodulation,[status(thm)],[f55,f48]) ).
fof(f101,plain,
( ~ spl0_8
| ~ spl0_9
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f100,f94,f97,f84]) ).
fof(f102,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f96,f59]) ).
fof(f103,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f102]) ).
fof(f123,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| smaller(X1,X0) ),
inference(resolution,[status(thm)],[f41,f37]) ).
fof(f126,plain,
! [X0,X1] :
( smaller(X0,X1)
| X0 = X1
| smaller_or_equal(X1,X0) ),
inference(resolution,[status(thm)],[f123,f31]) ).
fof(f129,plain,
! [X0,X1] :
( X0 = X1
| smaller_or_equal(X1,X0)
| greater(X1,X0) ),
inference(resolution,[status(thm)],[f126,f36]) ).
fof(f133,plain,
! [X0,X1] :
( X0 = X1
| smaller_or_equal(X1,X0)
| ~ greater(X0,X1) ),
inference(resolution,[status(thm)],[f129,f38]) ).
fof(f162,plain,
( sigma = zero
| smaller_or_equal(zero,sigma)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f71,f133]) ).
fof(f163,plain,
( spl0_3
| spl0_5
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f162,f73,f81,f70]) ).
fof(f167,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f80,f58]) ).
fof(f168,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f167]) ).
fof(f169,plain,
( age(sk3,sk4) = sigma
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f74,f55]) ).
fof(f196,plain,
( spl0_14
<=> smaller_or_equal(sigma,sigma) ),
introduced(split_symbol_definition) ).
fof(f198,plain,
( ~ smaller_or_equal(sigma,sigma)
| spl0_14 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f211,plain,
( ~ fragile_position(sk3)
| ~ smaller_or_equal(sigma,sigma)
| positional_advantage(sk3,sk4)
| ~ spl0_3 ),
inference(paramodulation,[status(thm)],[f169,f42]) ).
fof(f212,plain,
( ~ spl0_4
| ~ spl0_14
| spl0_6
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f211,f78,f196,f84,f73]) ).
fof(f213,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f60]) ).
fof(f214,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f213]) ).
fof(f224,plain,
( ~ smaller_or_equal(tau,tau)
| ~ spl0_1
| spl0_9 ),
inference(backward_demodulation,[status(thm)],[f66,f99]) ).
fof(f225,plain,
( $false
| ~ spl0_1
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f60]) ).
fof(f226,plain,
( ~ spl0_1
| spl0_9 ),
inference(contradiction_clause,[status(thm)],[f225]) ).
fof(f246,plain,
( tau = zero
| smaller_or_equal(zero,tau)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f63,f133]) ).
fof(f247,plain,
( spl0_1
| spl0_9
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f246,f65,f97,f62]) ).
fof(f251,plain,
$false,
inference(sat_refutation,[status(thm)],[f69,f77,f88,f101,f103,f163,f168,f212,f214,f226,f247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : MGT058-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n025.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 : Tue May 30 11:20:12 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 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
% 0.18/0.57 % Elapsed time: 0.022699 seconds
% 0.18/0.57 % CPU time: 0.047357 seconds
% 0.18/0.57 % Memory used: 14.568 MB
%------------------------------------------------------------------------------