TSTP Solution File: SYN088-1.010 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SYN088-1.010 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:45:57 EDT 2023
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 22
% Syntax : Number of formulae : 68 ( 33 unt; 0 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 140 ( 62 ~; 68 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 11 prp; 0-10 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 30 (; 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ p(a,a,a,a,a,a,a,a,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10] :
( p(X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10)
| ~ q_1(X_1)
| ~ q_2(X_2)
| ~ q_3(X_3)
| ~ q_4(X_4)
| ~ q_5(X_5)
| ~ q_6(X_6)
| ~ q_7(X_7)
| ~ q_8(X_8)
| ~ q_9(X_9)
| ~ q_10(X_10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
q_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
q_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
q_3(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
q_4(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
q_5(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
q_6(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
q_7(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
q_8(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
q_9(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
q_10(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,plain,
~ p(a,a,a,a,a,a,a,a,a,a),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f24,plain,
! [X_10] :
( ! [X_9] :
( ! [X_8] :
( ! [X_7] :
( ! [X_6] :
( ! [X_5] :
( ! [X_4] :
( ! [X_3] :
( ! [X_2] :
( ! [X_1] :
( p(X_1,X_2,X_3,X_4,X_5,X_6,X_7,X_8,X_9,X_10)
| ~ q_1(X_1) )
| ~ q_2(X_2) )
| ~ q_3(X_3) )
| ~ q_4(X_4) )
| ~ q_5(X_5) )
| ~ q_6(X_6) )
| ~ q_7(X_7) )
| ~ q_8(X_8) )
| ~ q_9(X_9) )
| ~ q_10(X_10) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f25,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( p(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ q_1(X0)
| ~ q_2(X1)
| ~ q_3(X2)
| ~ q_4(X3)
| ~ q_5(X4)
| ~ q_6(X5)
| ~ q_7(X6)
| ~ q_8(X7)
| ~ q_9(X8)
| ~ q_10(X9) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f26,plain,
q_1(a),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f28,plain,
q_2(a),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f30,plain,
q_3(a),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f32,plain,
q_4(a),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f34,plain,
q_5(a),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f36,plain,
q_6(a),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f38,plain,
q_7(a),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f40,plain,
q_8(a),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f42,plain,
q_9(a),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f44,plain,
q_10(a),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f46,plain,
( spl0_0
<=> q_1(a) ),
introduced(split_symbol_definition) ).
fof(f48,plain,
( ~ q_1(a)
| spl0_0 ),
inference(component_clause,[status(thm)],[f46]) ).
fof(f49,plain,
( spl0_1
<=> q_2(a) ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( ~ q_2(a)
| spl0_1 ),
inference(component_clause,[status(thm)],[f49]) ).
fof(f52,plain,
( spl0_2
<=> q_3(a) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( ~ q_3(a)
| spl0_2 ),
inference(component_clause,[status(thm)],[f52]) ).
fof(f55,plain,
( spl0_3
<=> q_4(a) ),
introduced(split_symbol_definition) ).
fof(f57,plain,
( ~ q_4(a)
| spl0_3 ),
inference(component_clause,[status(thm)],[f55]) ).
fof(f58,plain,
( spl0_4
<=> q_5(a) ),
introduced(split_symbol_definition) ).
fof(f60,plain,
( ~ q_5(a)
| spl0_4 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( spl0_5
<=> q_6(a) ),
introduced(split_symbol_definition) ).
fof(f63,plain,
( ~ q_6(a)
| spl0_5 ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( spl0_6
<=> q_7(a) ),
introduced(split_symbol_definition) ).
fof(f66,plain,
( ~ q_7(a)
| spl0_6 ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( spl0_7
<=> q_8(a) ),
introduced(split_symbol_definition) ).
fof(f69,plain,
( ~ q_8(a)
| spl0_7 ),
inference(component_clause,[status(thm)],[f67]) ).
fof(f70,plain,
( spl0_8
<=> q_9(a) ),
introduced(split_symbol_definition) ).
fof(f72,plain,
( ~ q_9(a)
| spl0_8 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( spl0_9
<=> q_10(a) ),
introduced(split_symbol_definition) ).
fof(f75,plain,
( ~ q_10(a)
| spl0_9 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( ~ q_1(a)
| ~ q_2(a)
| ~ q_3(a)
| ~ q_4(a)
| ~ q_5(a)
| ~ q_6(a)
| ~ q_7(a)
| ~ q_8(a)
| ~ q_9(a)
| ~ q_10(a) ),
inference(resolution,[status(thm)],[f25,f23]) ).
fof(f77,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f76,f46,f49,f52,f55,f58,f61,f64,f67,f70,f73]) ).
fof(f78,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f75,f44]) ).
fof(f79,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f78]) ).
fof(f80,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f72,f42]) ).
fof(f81,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f80]) ).
fof(f82,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f69,f40]) ).
fof(f83,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f82]) ).
fof(f84,plain,
( $false
| spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f66,f38]) ).
fof(f85,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f84]) ).
fof(f86,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f63,f36]) ).
fof(f87,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f86]) ).
fof(f88,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f60,f34]) ).
fof(f89,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f88]) ).
fof(f90,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f57,f32]) ).
fof(f91,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f90]) ).
fof(f92,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f54,f30]) ).
fof(f93,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f92]) ).
fof(f94,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f26]) ).
fof(f95,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f94]) ).
fof(f96,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f28]) ).
fof(f97,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f96]) ).
fof(f98,plain,
$false,
inference(sat_refutation,[status(thm)],[f77,f79,f81,f83,f85,f87,f89,f91,f93,f95,f97]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN088-1.010 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n029.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 10:46:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % 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
% 0.13/0.37 % Elapsed time: 0.019644 seconds
% 0.13/0.37 % CPU time: 0.027758 seconds
% 0.13/0.37 % Memory used: 7.155 MB
%------------------------------------------------------------------------------