%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO620+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 12:25:23 PM UTC 2026
% Result : Theorem 0.14s 5.48s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 4
% Syntax : Number of formulae : 62 ( 36 unt; 0 def)
% Number of atoms : 137 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 101 ( 26 ~; 21 |; 49 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 77 ( 61 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C,D] :
( ( coll(A,B,D)
& coll(A,B,C) )
=> coll(C,D,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,O,I,E,J,L] :
( ( coll(L,B,O)
& perp(L,C,B,O)
& coll(J,A,E)
& perp(J,C,A,E)
& perp(A,O,A,E)
& coll(I,A,O)
& perp(I,C,A,O)
& eqangle(O,C,C,A,O,C,C,B)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,A,A,B,O,A,A,C) )
=> coll(I,L,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,I,E,J,L] :
( ( coll(L,B,O)
& perp(L,C,B,O)
& coll(J,A,E)
& perp(J,C,A,E)
& perp(A,O,A,E)
& coll(I,A,O)
& perp(I,C,A,O)
& eqangle(O,C,C,A,O,C,C,B)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,A,A,B,O,A,A,C) )
=> coll(I,L,J) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f97,plain,
! [A,B,C] :
( coll(A,C,B)
| ~ coll(A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f98,plain,
! [X0,X1,X2] :
( coll(X0,X2,X1)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [A,B,C] :
( coll(B,A,C)
| ~ coll(A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f100,plain,
! [X0,X1,X2] :
( coll(X1,X0,X2)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [A,B,C,D] :
( coll(C,D,A)
| ~ coll(A,B,D)
| ~ coll(A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f102,plain,
! [A,C,D] :
( coll(C,D,A)
| ! [B] :
( ~ coll(A,B,D)
| ~ coll(A,B,C) ) ),
inference(miniscoping,[status(thm)],[f101]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( coll(X2,X3,X0)
| ~ coll(X0,X1,X3)
| ~ coll(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f102]) ).
fof(f369,plain,
? [A,B,C,O,I,E,J,L] :
( ~ coll(I,L,J)
& coll(L,B,O)
& perp(L,C,B,O)
& coll(J,A,E)
& perp(J,C,A,E)
& perp(A,O,A,E)
& coll(I,A,O)
& perp(I,C,A,O)
& eqangle(O,C,C,A,O,C,C,B)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,A,A,B,O,A,A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [I,J,L] :
( ~ coll(I,L,J)
& ? [B,O] :
( coll(L,B,O)
& ? [C] :
( perp(L,C,B,O)
& ? [A,E] :
( coll(J,A,E)
& perp(J,C,A,E)
& perp(A,O,A,E)
& coll(I,A,O)
& perp(I,C,A,O)
& eqangle(O,C,C,A,O,C,C,B)
& eqangle(O,B,B,C,O,B,B,A)
& eqangle(O,A,A,B,O,A,A,C) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ coll(sK20_skl,sK22_skl,sK21_skl)
& coll(sK22_skl,sK23_skl,sK24_skl)
& perp(sK22_skl,sK25_skl,sK23_skl,sK24_skl)
& coll(sK21_skl,sK26_skl,sK27_skl)
& perp(sK21_skl,sK25_skl,sK26_skl,sK27_skl)
& perp(sK26_skl,sK24_skl,sK26_skl,sK27_skl)
& coll(sK20_skl,sK26_skl,sK24_skl)
& perp(sK20_skl,sK25_skl,sK26_skl,sK24_skl)
& eqangle(sK24_skl,sK25_skl,sK25_skl,sK26_skl,sK24_skl,sK25_skl,sK25_skl,sK23_skl)
& eqangle(sK24_skl,sK23_skl,sK23_skl,sK25_skl,sK24_skl,sK23_skl,sK23_skl,sK26_skl)
& eqangle(sK24_skl,sK26_skl,sK26_skl,sK23_skl,sK24_skl,sK26_skl,sK26_skl,sK25_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl]),skolemize(I,sK20_skl),skolemize(J,sK21_skl),skolemize(L,sK22_skl),skolemize(B,sK23_skl),skolemize(O,sK24_skl),skolemize(C,sK25_skl),skolemize(A,sK26_skl),skolemize(E,sK27_skl)],[f370]) ).
fof(f376,plain,
coll(sK20_skl,sK26_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f379,plain,
coll(sK21_skl,sK26_skl,sK27_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f381,plain,
coll(sK22_skl,sK23_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f382,plain,
~ coll(sK20_skl,sK22_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f383,plain,
coll(sK22_skl,sK24_skl,sK23_skl),
inference(resolution,[status(thm)],[f98,f381]) ).
fof(f384,plain,
coll(sK21_skl,sK27_skl,sK26_skl),
inference(resolution,[status(thm)],[f98,f379]) ).
fof(f385,plain,
coll(sK20_skl,sK24_skl,sK26_skl),
inference(resolution,[status(thm)],[f98,f376]) ).
fof(f389,plain,
coll(sK24_skl,sK22_skl,sK23_skl),
inference(resolution,[status(thm)],[f100,f383]) ).
fof(f390,plain,
coll(sK23_skl,sK22_skl,sK24_skl),
inference(resolution,[status(thm)],[f100,f381]) ).
fof(f391,plain,
coll(sK27_skl,sK21_skl,sK26_skl),
inference(resolution,[status(thm)],[f100,f384]) ).
fof(f394,plain,
coll(sK26_skl,sK20_skl,sK24_skl),
inference(resolution,[status(thm)],[f100,f376]) ).
fof(f396,plain,
coll(sK24_skl,sK23_skl,sK22_skl),
inference(resolution,[status(thm)],[f389,f98]) ).
fof(f400,plain,
coll(sK27_skl,sK26_skl,sK21_skl),
inference(resolution,[status(thm)],[f391,f98]) ).
fof(f406,plain,
coll(sK26_skl,sK24_skl,sK20_skl),
inference(resolution,[status(thm)],[f394,f98]) ).
fof(f409,plain,
! [X0] :
( coll(sK24_skl,X0,sK26_skl)
| ~ coll(sK26_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f103,f394]) ).
fof(f411,plain,
! [X0] :
( coll(sK26_skl,X0,sK27_skl)
| ~ coll(sK27_skl,sK21_skl,X0) ),
inference(resolution,[status(thm)],[f103,f391]) ).
fof(f412,plain,
! [X0] :
( coll(sK24_skl,X0,sK23_skl)
| ~ coll(sK23_skl,sK22_skl,X0) ),
inference(resolution,[status(thm)],[f103,f390]) ).
fof(f413,plain,
! [X0] :
( coll(sK22_skl,X0,sK24_skl)
| ~ coll(sK24_skl,sK23_skl,X0) ),
inference(resolution,[status(thm)],[f103,f396]) ).
fof(f418,plain,
! [X0] :
( coll(sK26_skl,X0,sK21_skl)
| ~ coll(sK21_skl,sK27_skl,X0) ),
inference(resolution,[status(thm)],[f103,f384]) ).
fof(f420,plain,
! [X0] :
( coll(sK26_skl,X0,sK20_skl)
| ~ coll(sK20_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f103,f385]) ).
fof(f427,plain,
! [X0] :
( coll(sK21_skl,X0,sK27_skl)
| ~ coll(sK27_skl,sK26_skl,X0) ),
inference(resolution,[status(thm)],[f400,f103]) ).
fof(f436,plain,
! [X0] :
( coll(sK20_skl,X0,sK26_skl)
| ~ coll(sK26_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f406,f103]) ).
fof(f445,plain,
coll(sK24_skl,sK24_skl,sK26_skl),
inference(resolution,[status(thm)],[f409,f394]) ).
fof(f446,plain,
! [X0] :
( coll(sK26_skl,X0,sK24_skl)
| ~ coll(sK24_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f445,f103]) ).
fof(f557,plain,
coll(sK26_skl,sK26_skl,sK27_skl),
inference(resolution,[status(thm)],[f411,f391]) ).
fof(f558,plain,
! [X0] :
( coll(sK27_skl,X0,sK26_skl)
| ~ coll(sK26_skl,sK26_skl,X0) ),
inference(resolution,[status(thm)],[f557,f103]) ).
fof(f567,plain,
coll(sK24_skl,sK24_skl,sK23_skl),
inference(resolution,[status(thm)],[f412,f390]) ).
fof(f572,plain,
coll(sK24_skl,sK23_skl,sK24_skl),
inference(resolution,[status(thm)],[f567,f98]) ).
fof(f579,plain,
coll(sK22_skl,sK24_skl,sK24_skl),
inference(resolution,[status(thm)],[f413,f572]) ).
fof(f582,plain,
coll(sK24_skl,sK22_skl,sK24_skl),
inference(resolution,[status(thm)],[f579,f100]) ).
fof(f589,plain,
coll(sK24_skl,sK24_skl,sK22_skl),
inference(resolution,[status(thm)],[f582,f98]) ).
fof(f681,plain,
coll(sK26_skl,sK26_skl,sK20_skl),
inference(resolution,[status(thm)],[f420,f385]) ).
fof(f765,plain,
coll(sK26_skl,sK22_skl,sK24_skl),
inference(resolution,[status(thm)],[f446,f589]) ).
fof(f770,plain,
coll(sK26_skl,sK24_skl,sK22_skl),
inference(resolution,[status(thm)],[f765,f98]) ).
fof(f777,plain,
coll(sK20_skl,sK22_skl,sK26_skl),
inference(resolution,[status(thm)],[f770,f436]) ).
fof(f799,plain,
coll(sK20_skl,sK26_skl,sK22_skl),
inference(resolution,[status(thm)],[f777,f98]) ).
fof(f826,plain,
! [X0] :
( coll(sK22_skl,X0,sK20_skl)
| ~ coll(sK20_skl,sK26_skl,X0) ),
inference(resolution,[status(thm)],[f799,f103]) ).
fof(f1211,plain,
coll(sK27_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f558,f681]) ).
fof(f1217,plain,
coll(sK27_skl,sK26_skl,sK20_skl),
inference(resolution,[status(thm)],[f1211,f98]) ).
fof(f1225,plain,
coll(sK21_skl,sK20_skl,sK27_skl),
inference(resolution,[status(thm)],[f1217,f427]) ).
fof(f1246,plain,
coll(sK21_skl,sK27_skl,sK20_skl),
inference(resolution,[status(thm)],[f1225,f98]) ).
fof(f1288,plain,
coll(sK26_skl,sK20_skl,sK21_skl),
inference(resolution,[status(thm)],[f1246,f418]) ).
fof(f1353,plain,
coll(sK20_skl,sK26_skl,sK21_skl),
inference(resolution,[status(thm)],[f1288,f100]) ).
fof(f3172,plain,
coll(sK22_skl,sK21_skl,sK20_skl),
inference(resolution,[status(thm)],[f826,f1353]) ).
fof(f3184,plain,
coll(sK22_skl,sK20_skl,sK21_skl),
inference(resolution,[status(thm)],[f3172,f98]) ).
fof(f3200,plain,
coll(sK20_skl,sK22_skl,sK21_skl),
inference(resolution,[status(thm)],[f3184,f100]) ).
fof(f3202,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3200,f382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO620+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Sun Sep 20 18:03:42 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.14/5.40 % Drodi V4.1.1
% 0.14/5.48 % Refutation found
% 0.14/5.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/5.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.50 % Elapsed time: 0.113118 seconds
% 0.14/5.50 % CPU time: 0.574357 seconds
% 0.14/5.50 % Total memory used: 92.129 MB
% 0.14/5.50 % Net memory used: 91.648 MB
%------------------------------------------------------------------------------