%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO081+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:24:00 PM UTC 2026
% Result : Theorem 0.09s 0.40s
% Output : CNFRefutation 0.09s
% 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(C2,C3)
& part_of(C1,C2) )
=> part_of(C1,C3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [C1,C2,C3] :
( ( part_of(C2,C3)
& part_of(C1,C2) )
=> part_of(C1,C3) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [C,C1] :
( part_of(C1,C)
<=> ! [P] :
( incident_c(P,C)
| ~ incident_c(P,C1) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
! [C,C1] :
( ( ? [P] :
( ~ incident_c(P,C)
& incident_c(P,C1) )
| part_of(C1,C) )
& ( ! [P] :
( incident_c(P,C)
| ~ incident_c(P,C1) )
| ~ part_of(C1,C) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f21,plain,
( ! [C,C1] :
( ? [P] :
( ~ incident_c(P,C)
& incident_c(P,C1) )
| part_of(C1,C) )
& ! [C,C1] :
( ! [P] :
( incident_c(P,C)
| ~ incident_c(P,C1) )
| ~ part_of(C1,C) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f22,plain,
( ! [C,C1] :
( ( ~ incident_c(sK0_skl(C1,C),C)
& incident_c(sK0_skl(C1,C),C1) )
| part_of(C1,C) )
& ! [C,C1] :
( ! [P] :
( incident_c(P,C)
| ~ incident_c(P,C1) )
| ~ part_of(C1,C) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(P,sK0_skl(C1,C))],[f21]) ).
fof(f23,plain,
! [X0,X1,X2] :
( incident_c(X2,X1)
| ~ incident_c(X2,X0)
| ~ part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( incident_c(sK0_skl(X0,X1),X0)
| part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f25,plain,
! [X0,X1] :
( ~ incident_c(sK0_skl(X0,X1),X1)
| part_of(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f104,plain,
? [C1,C2,C3] :
( ~ part_of(C1,C3)
& part_of(C2,C3)
& part_of(C1,C2) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f105,plain,
? [C1,C3] :
( ~ part_of(C1,C3)
& ? [C2] :
( part_of(C2,C3)
& part_of(C1,C2) ) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f106,plain,
( ~ part_of(sK13_skl,sK14_skl)
& part_of(sK15_skl,sK14_skl)
& part_of(sK13_skl,sK15_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(C1,sK13_skl),skolemize(C3,sK14_skl),skolemize(C2,sK15_skl)],[f105]) ).
fof(f107,plain,
part_of(sK13_skl,sK15_skl),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f108,plain,
part_of(sK15_skl,sK14_skl),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f109,plain,
~ part_of(sK13_skl,sK14_skl),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f114,plain,
~ incident_c(sK0_skl(sK13_skl,sK14_skl),sK14_skl),
inference(resolution,[status(thm)],[f25,f109]) ).
fof(f121,plain,
! [X0] :
( ~ incident_c(sK0_skl(sK13_skl,sK14_skl),X0)
| ~ part_of(X0,sK14_skl) ),
inference(resolution,[status(thm)],[f114,f23]) ).
fof(f123,plain,
~ incident_c(sK0_skl(sK13_skl,sK14_skl),sK15_skl),
inference(resolution,[status(thm)],[f121,f108]) ).
fof(f129,plain,
! [X0] :
( ~ incident_c(sK0_skl(sK13_skl,sK14_skl),X0)
| ~ part_of(X0,sK15_skl) ),
inference(resolution,[status(thm)],[f123,f23]) ).
fof(f130,plain,
~ incident_c(sK0_skl(sK13_skl,sK14_skl),sK13_skl),
inference(resolution,[status(thm)],[f129,f107]) ).
fof(f132,plain,
part_of(sK13_skl,sK14_skl),
inference(resolution,[status(thm)],[f130,f24]) ).
fof(f138,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f132,f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO081+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n006.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 10:06:57 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.054741 seconds
% 0.09/0.44 % CPU time: 0.148823 seconds
% 0.09/0.44 % Total memory used: 81.640 MB
% 0.09/0.44 % Net memory used: 81.571 MB
%------------------------------------------------------------------------------