TSTP Solution File: GEO087-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO087-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:07:44 EDT 2023
% Result : Unsatisfiable 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 24 ( 11 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 54 ( 31 ~; 23 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 40 (; 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( ~ part_of(A,B)
| ~ incident_c(C,A)
| incident_c(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [A,B] :
( ~ inner_point(A,B)
| incident_c(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [A,B] :
( ~ inner_point(A,B)
| ~ end_point(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [A,B,C,D] :
( ~ meet(A,B,C)
| ~ incident_c(D,B)
| ~ incident_c(D,C)
| end_point(D,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [A] : inner_point(ax0_sk8(A),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
part_of(sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,negated_conjecture,
meet(sk16,sk14,sk15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,plain,
! [B,C] :
( ! [A] :
( ~ part_of(A,B)
| ~ incident_c(C,A) )
| incident_c(C,B) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f51]) ).
fof(f76,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| incident_c(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f77,plain,
! [X0,X1] :
( ~ inner_point(X0,X1)
| ~ end_point(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f83,plain,
! [B,D] :
( ! [C] :
( ! [A] : ~ meet(A,B,C)
| ~ incident_c(D,B)
| ~ incident_c(D,C) )
| end_point(D,B) ),
inference(miniscoping,[status(esa)],[f26]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ~ meet(X0,X1,X2)
| ~ incident_c(X3,X1)
| ~ incident_c(X3,X2)
| end_point(X3,X1) ),
inference(cnf_transformation,[status(esa)],[f83]) ).
fof(f100,plain,
! [X0] : inner_point(ax0_sk8(X0),X0),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f115,plain,
part_of(sk14,sk15),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f116,plain,
meet(sk16,sk14,sk15),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f170,plain,
! [X0] : incident_c(ax0_sk8(X0),X0),
inference(resolution,[status(thm)],[f76,f100]) ).
fof(f171,plain,
! [X0] : ~ end_point(ax0_sk8(X0),X0),
inference(resolution,[status(thm)],[f77,f100]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| ~ incident_c(ax0_sk8(X1),X1)
| ~ incident_c(ax0_sk8(X1),X2) ),
inference(resolution,[status(thm)],[f171,f84]) ).
fof(f175,plain,
! [X0,X1,X2] :
( ~ meet(X0,X1,X2)
| ~ incident_c(ax0_sk8(X1),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f174,f170]) ).
fof(f233,plain,
~ incident_c(ax0_sk8(sk14),sk15),
inference(resolution,[status(thm)],[f175,f116]) ).
fof(f234,plain,
! [X0] :
( ~ part_of(X0,sk15)
| ~ incident_c(ax0_sk8(sk14),X0) ),
inference(resolution,[status(thm)],[f233,f52]) ).
fof(f235,plain,
~ incident_c(ax0_sk8(sk14),sk14),
inference(resolution,[status(thm)],[f234,f115]) ).
fof(f236,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f235,f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO087-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33 % Computer : n031.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 12:24:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.37 % Refutation found
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37 % Elapsed time: 0.025194 seconds
% 0.13/0.37 % CPU time: 0.052364 seconds
% 0.13/0.37 % Memory used: 11.846 MB
%------------------------------------------------------------------------------