%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO087+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 : n019.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 12:24:02 PM UTC 2026
% Result : Theorem 0.15s 5.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 9 unt; 0 def)
% Number of atoms : 130 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 153 ( 56 ~; 50 |; 38 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 85 ( 75 !; 10 ?)
% 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(f4,axiom,
! [P,C] :
( inner_point(P,C)
<=> ( ~ end_point(P,C)
& incident_c(P,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [P,C,C1] :
( meet(P,C,C1)
<=> ( ! [Q] :
( ( incident_c(Q,C1)
& incident_c(Q,C) )
=> ( end_point(Q,C1)
& end_point(Q,C) ) )
& incident_c(P,C1)
& incident_c(P,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [C] :
? [P] : inner_point(P,C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [C1,C2] :
( part_of(C1,C2)
=> ~ ? [P] : meet(P,C1,C2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [C1,C2] :
( part_of(C1,C2)
=> ~ ? [P] : meet(P,C1,C2) ),
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(f47,plain,
! [P,C] :
( ( end_point(P,C)
| ~ incident_c(P,C)
| inner_point(P,C) )
& ( ( ~ end_point(P,C)
& incident_c(P,C) )
| ~ inner_point(P,C) ) ),
inference(NNF_transformation,[status(thm)],[f4]) ).
fof(f48,plain,
( ! [P,C] :
( end_point(P,C)
| ~ incident_c(P,C)
| inner_point(P,C) )
& ! [P,C] :
( ( ~ end_point(P,C)
& incident_c(P,C) )
| ~ inner_point(P,C) ) ),
inference(miniscoping,[status(thm)],[f47]) ).
fof(f49,plain,
! [X0,X1] :
( incident_c(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X0,X1] :
( ~ end_point(X0,X1)
| ~ inner_point(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f52,plain,
! [P,C,C1] :
( meet(P,C,C1)
<=> ( ! [Q] :
( ( end_point(Q,C1)
& end_point(Q,C) )
| ~ incident_c(Q,C1)
| ~ incident_c(Q,C) )
& incident_c(P,C1)
& incident_c(P,C) ) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f53,plain,
! [P,C,C1] :
( ( ? [Q] :
( ( ~ end_point(Q,C1)
| ~ end_point(Q,C) )
& incident_c(Q,C1)
& incident_c(Q,C) )
| ~ incident_c(P,C1)
| ~ incident_c(P,C)
| meet(P,C,C1) )
& ( ( ! [Q] :
( ( end_point(Q,C1)
& end_point(Q,C) )
| ~ incident_c(Q,C1)
| ~ incident_c(Q,C) )
& incident_c(P,C1)
& incident_c(P,C) )
| ~ meet(P,C,C1) ) ),
inference(NNF_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
( ! [P,C,C1] :
( ? [Q] :
( ( ~ end_point(Q,C1)
| ~ end_point(Q,C) )
& incident_c(Q,C1)
& incident_c(Q,C) )
| ~ incident_c(P,C1)
| ~ incident_c(P,C)
| meet(P,C,C1) )
& ! [P,C,C1] :
( ( ! [Q] :
( ( end_point(Q,C1)
& end_point(Q,C) )
| ~ incident_c(Q,C1)
| ~ incident_c(Q,C) )
& incident_c(P,C1)
& incident_c(P,C) )
| ~ meet(P,C,C1) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f55,plain,
( ! [P,C,C1] :
( ( ( ~ end_point(sK4_skl(C1,C,P),C1)
| ~ end_point(sK4_skl(C1,C,P),C) )
& incident_c(sK4_skl(C1,C,P),C1)
& incident_c(sK4_skl(C1,C,P),C) )
| ~ incident_c(P,C1)
| ~ incident_c(P,C)
| meet(P,C,C1) )
& ! [P,C,C1] :
( ( ! [Q] :
( ( end_point(Q,C1)
& end_point(Q,C) )
| ~ incident_c(Q,C1)
| ~ incident_c(Q,C) )
& incident_c(P,C1)
& incident_c(P,C) )
| ~ meet(P,C,C1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Q,sK4_skl(C1,C,P))],[f54]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( end_point(X3,X1)
| ~ incident_c(X3,X2)
| ~ incident_c(X3,X1)
| ~ meet(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f80,plain,
! [C] : inner_point(sK7_skl(C),C),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(P,sK7_skl(C))],[f10]) ).
fof(f81,plain,
! [X0] : inner_point(sK7_skl(X0),X0),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f104,plain,
? [C1,C2] :
( ? [P] : meet(P,C1,C2)
& part_of(C1,C2) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f105,plain,
( meet(sK15_skl,sK13_skl,sK14_skl)
& part_of(sK13_skl,sK14_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl,sK15_skl]),skolemize(C1,sK13_skl),skolemize(C2,sK14_skl),skolemize(P,sK15_skl)],[f104]) ).
fof(f106,plain,
part_of(sK13_skl,sK14_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f107,plain,
meet(sK15_skl,sK13_skl,sK14_skl),
inference(cnf_transformation,[status(thm)],[f105]) ).
fof(f110,plain,
! [X0] :
( incident_c(X0,sK14_skl)
| ~ incident_c(X0,sK13_skl) ),
inference(resolution,[status(thm)],[f23,f106]) ).
fof(f112,plain,
! [X0] :
( end_point(X0,sK13_skl)
| ~ incident_c(X0,sK14_skl)
| ~ incident_c(X0,sK13_skl) ),
inference(resolution,[status(thm)],[f58,f107]) ).
fof(f113,plain,
! [X0] :
( end_point(X0,sK13_skl)
| ~ incident_c(X0,sK13_skl) ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f110]) ).
fof(f137,plain,
! [X0] : incident_c(sK7_skl(X0),X0),
inference(resolution,[status(thm)],[f49,f81]) ).
fof(f139,plain,
end_point(sK7_skl(sK13_skl),sK13_skl),
inference(resolution,[status(thm)],[f137,f113]) ).
fof(f148,plain,
~ inner_point(sK7_skl(sK13_skl),sK13_skl),
inference(resolution,[status(thm)],[f139,f50]) ).
fof(f153,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f148,f81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO087+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n019.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sun Sep 20 10:27:11 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.38 % Drodi V4.1.1
% 0.15/5.42 % Refutation found
% 0.15/5.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.45 % Elapsed time: 0.071241 seconds
% 0.15/5.45 % CPU time: 0.162394 seconds
% 0.15/5.45 % Total memory used: 81.725 MB
% 0.15/5.45 % Net memory used: 81.640 MB
%------------------------------------------------------------------------------