TSTP Solution File: GEO081+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 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 : Wed May 31 12:07:42 EDT 2023
% Result : Theorem 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 2
% Syntax : Number of formulae : 23 ( 8 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 60 ( 25 ~; 16 |; 14 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 42 (; 34 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C1)
=> incident_c(P,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [C1,C2,C3] :
( ( part_of(C1,C2)
& part_of(C2,C3) )
=> part_of(C1,C3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [C1,C2,C3] :
( ( part_of(C1,C2)
& part_of(C2,C3) )
=> part_of(C1,C3) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( ~ incident_c(P,C1)
| incident_c(P,C) ) ),
inference(pre_NNF_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
! [C,C1] :
( ( ~ part_of(C1,C)
| ! [P] :
( ~ incident_c(P,C1)
| incident_c(P,C) ) )
& ( part_of(C1,C)
| ? [P] :
( incident_c(P,C1)
& ~ incident_c(P,C) ) ) ),
inference(NNF_transformation,[status(esa)],[f19]) ).
fof(f21,plain,
( ! [C,C1] :
( ~ part_of(C1,C)
| ! [P] :
( ~ incident_c(P,C1)
| incident_c(P,C) ) )
& ! [C,C1] :
( part_of(C1,C)
| ? [P] :
( incident_c(P,C1)
& ~ incident_c(P,C) ) ) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f22,plain,
( ! [C,C1] :
( ~ part_of(C1,C)
| ! [P] :
( ~ incident_c(P,C1)
| incident_c(P,C) ) )
& ! [C,C1] :
( part_of(C1,C)
| ( incident_c(sk0_0(C1,C),C1)
& ~ incident_c(sk0_0(C1,C),C) ) ) ),
inference(skolemization,[status(esa)],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ part_of(X0,X1)
| ~ incident_c(X2,X0)
| incident_c(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( part_of(X0,X1)
| incident_c(sk0_0(X0,X1),X0) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f25,plain,
! [X0,X1] :
( part_of(X0,X1)
| ~ incident_c(sk0_0(X0,X1),X1) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f104,plain,
? [C1,C2,C3] :
( part_of(C1,C2)
& part_of(C2,C3)
& ~ part_of(C1,C3) ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f105,plain,
? [C1,C3] :
( ? [C2] :
( part_of(C1,C2)
& part_of(C2,C3) )
& ~ part_of(C1,C3) ),
inference(miniscoping,[status(esa)],[f104]) ).
fof(f106,plain,
( part_of(sk0_13,sk0_15)
& part_of(sk0_15,sk0_14)
& ~ part_of(sk0_13,sk0_14) ),
inference(skolemization,[status(esa)],[f105]) ).
fof(f107,plain,
part_of(sk0_13,sk0_15),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f108,plain,
part_of(sk0_15,sk0_14),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f109,plain,
~ part_of(sk0_13,sk0_14),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f114,plain,
~ incident_c(sk0_0(sk0_13,sk0_14),sk0_14),
inference(resolution,[status(thm)],[f25,f109]) ).
fof(f118,plain,
! [X0] :
( ~ part_of(X0,sk0_14)
| ~ incident_c(sk0_0(sk0_13,sk0_14),X0) ),
inference(resolution,[status(thm)],[f114,f23]) ).
fof(f127,plain,
~ incident_c(sk0_0(sk0_13,sk0_14),sk0_15),
inference(resolution,[status(thm)],[f118,f108]) ).
fof(f132,plain,
! [X0] :
( ~ part_of(X0,sk0_15)
| ~ incident_c(sk0_0(sk0_13,sk0_14),X0) ),
inference(resolution,[status(thm)],[f127,f23]) ).
fof(f141,plain,
~ incident_c(sk0_0(sk0_13,sk0_14),sk0_13),
inference(resolution,[status(thm)],[f132,f107]) ).
fof(f143,plain,
part_of(sk0_13,sk0_14),
inference(resolution,[status(thm)],[f141,f24]) ).
fof(f144,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f143,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO081+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % 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 : Tue May 30 12:15:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.34 % Drodi V3.5.1
% 0.19/0.36 % Refutation found
% 0.19/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.25/0.57 % Elapsed time: 0.018662 seconds
% 0.25/0.57 % CPU time: 0.067973 seconds
% 0.25/0.57 % Memory used: 12.006 MB
%------------------------------------------------------------------------------