%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 12:25:17 PM UTC 2026
% Result : Theorem 0.16s 5.63s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 7
% Syntax : Number of formulae : 61 ( 28 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 114 ( 33 ~; 28 |; 45 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 116 ( 102 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(A,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( coll(A,B,C)
=> coll(B,A,C) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& perp(A,B,C,D) )
=> para(A,B,E,F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,I,Y,L,X] :
( ( coll(X,A,I)
& perp(X,B,A,I)
& coll(L,B,C)
& perp(L,I,B,C)
& coll(Y,A,C)
& perp(Y,I,A,C)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) )
=> coll(X,Y,L) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,I,Y,L,X] :
( ( coll(X,A,I)
& perp(X,B,A,I)
& coll(L,B,C)
& perp(L,I,B,C)
& coll(Y,A,C)
& perp(Y,I,A,C)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) )
=> coll(X,Y,L) ),
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(f113,plain,
! [A,B,C,D] :
( perp(C,D,A,B)
| ~ perp(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( perp(X2,X3,X0,X1)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [A,B,C,D,E,F] :
( para(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f116,plain,
! [A,B,E,F] :
( para(A,B,E,F)
| ! [C,D] :
( ~ perp(C,D,E,F)
| ~ perp(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f255,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ para(A,B,A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f67]) ).
fof(f256,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ para(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(thm)],[f255]) ).
fof(f369,plain,
? [A,B,C,I,Y,L,X] :
( ~ coll(X,Y,L)
& coll(X,A,I)
& perp(X,B,A,I)
& coll(L,B,C)
& perp(L,I,B,C)
& coll(Y,A,C)
& perp(Y,I,A,C)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [Y,L,X] :
( ~ coll(X,Y,L)
& ? [A,I] :
( coll(X,A,I)
& ? [B] :
( perp(X,B,A,I)
& ? [C] :
( coll(L,B,C)
& perp(L,I,B,C)
& coll(Y,A,C)
& perp(Y,I,A,C)
& eqangle(I,C,C,A,I,C,C,B)
& eqangle(I,B,B,C,I,B,B,A)
& eqangle(I,A,A,B,I,A,A,C) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ coll(sK22_skl,sK20_skl,sK21_skl)
& coll(sK22_skl,sK23_skl,sK24_skl)
& perp(sK22_skl,sK25_skl,sK23_skl,sK24_skl)
& coll(sK21_skl,sK25_skl,sK26_skl)
& perp(sK21_skl,sK24_skl,sK25_skl,sK26_skl)
& coll(sK20_skl,sK23_skl,sK26_skl)
& perp(sK20_skl,sK24_skl,sK23_skl,sK26_skl)
& eqangle(sK24_skl,sK26_skl,sK26_skl,sK23_skl,sK24_skl,sK26_skl,sK26_skl,sK25_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) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(Y,sK20_skl),skolemize(L,sK21_skl),skolemize(X,sK22_skl),skolemize(A,sK23_skl),skolemize(I,sK24_skl),skolemize(B,sK25_skl),skolemize(C,sK26_skl)],[f370]) ).
fof(f376,plain,
coll(sK20_skl,sK23_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f378,plain,
coll(sK21_skl,sK25_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f379,plain,
perp(sK22_skl,sK25_skl,sK23_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f381,plain,
~ coll(sK22_skl,sK20_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f383,plain,
coll(sK21_skl,sK26_skl,sK25_skl),
inference(resolution,[status(thm)],[f98,f378]) ).
fof(f390,plain,
coll(sK26_skl,sK21_skl,sK25_skl),
inference(resolution,[status(thm)],[f100,f383]) ).
fof(f391,plain,
coll(sK25_skl,sK21_skl,sK26_skl),
inference(resolution,[status(thm)],[f100,f378]) ).
fof(f401,plain,
coll(sK25_skl,sK26_skl,sK21_skl),
inference(resolution,[status(thm)],[f391,f98]) ).
fof(f408,plain,
! [X0] :
( coll(sK26_skl,X0,sK25_skl)
| ~ coll(sK25_skl,sK21_skl,X0) ),
inference(resolution,[status(thm)],[f103,f391]) ).
fof(f410,plain,
! [X0] :
( coll(sK25_skl,X0,sK26_skl)
| ~ coll(sK26_skl,sK21_skl,X0) ),
inference(resolution,[status(thm)],[f103,f390]) ).
fof(f420,plain,
! [X0] :
( coll(sK26_skl,X0,sK20_skl)
| ~ coll(sK20_skl,sK23_skl,X0) ),
inference(resolution,[status(thm)],[f103,f376]) ).
fof(f429,plain,
! [X0] :
( coll(sK21_skl,X0,sK25_skl)
| ~ coll(sK25_skl,sK26_skl,X0) ),
inference(resolution,[status(thm)],[f401,f103]) ).
fof(f443,plain,
perp(sK23_skl,sK24_skl,sK22_skl,sK25_skl),
inference(resolution,[status(thm)],[f114,f379]) ).
fof(f449,plain,
! [X0,X1] :
( para(sK22_skl,sK25_skl,X0,X1)
| ~ perp(sK23_skl,sK24_skl,X0,X1) ),
inference(resolution,[status(thm)],[f117,f379]) ).
fof(f512,plain,
coll(sK26_skl,sK26_skl,sK25_skl),
inference(resolution,[status(thm)],[f408,f391]) ).
fof(f513,plain,
! [X0] :
( coll(sK25_skl,X0,sK26_skl)
| ~ coll(sK26_skl,sK26_skl,X0) ),
inference(resolution,[status(thm)],[f512,f103]) ).
fof(f532,plain,
coll(sK25_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f410,f390]) ).
fof(f533,plain,
! [X0] :
( coll(sK26_skl,X0,sK25_skl)
| ~ coll(sK25_skl,sK25_skl,X0) ),
inference(resolution,[status(thm)],[f532,f103]) ).
fof(f668,plain,
coll(sK26_skl,sK26_skl,sK20_skl),
inference(resolution,[status(thm)],[f420,f376]) ).
fof(f739,plain,
coll(sK25_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f513,f668]) ).
fof(f745,plain,
coll(sK25_skl,sK26_skl,sK20_skl),
inference(resolution,[status(thm)],[f739,f98]) ).
fof(f752,plain,
coll(sK21_skl,sK20_skl,sK25_skl),
inference(resolution,[status(thm)],[f745,f429]) ).
fof(f769,plain,
coll(sK21_skl,sK25_skl,sK20_skl),
inference(resolution,[status(thm)],[f752,f98]) ).
fof(f796,plain,
para(sK22_skl,sK25_skl,sK22_skl,sK25_skl),
inference(resolution,[status(thm)],[f449,f443]) ).
fof(f798,plain,
! [X0] :
( coll(sK20_skl,X0,sK21_skl)
| ~ coll(sK21_skl,sK25_skl,X0) ),
inference(resolution,[status(thm)],[f769,f103]) ).
fof(f940,plain,
coll(sK22_skl,sK25_skl,sK25_skl),
inference(resolution,[status(thm)],[f796,f256]) ).
fof(f942,plain,
coll(sK25_skl,sK22_skl,sK25_skl),
inference(resolution,[status(thm)],[f940,f100]) ).
fof(f946,plain,
coll(sK25_skl,sK25_skl,sK22_skl),
inference(resolution,[status(thm)],[f942,f98]) ).
fof(f1465,plain,
coll(sK26_skl,sK22_skl,sK25_skl),
inference(resolution,[status(thm)],[f533,f946]) ).
fof(f1470,plain,
coll(sK26_skl,sK25_skl,sK22_skl),
inference(resolution,[status(thm)],[f1465,f98]) ).
fof(f1477,plain,
coll(sK25_skl,sK26_skl,sK22_skl),
inference(resolution,[status(thm)],[f1470,f100]) ).
fof(f1489,plain,
coll(sK21_skl,sK22_skl,sK25_skl),
inference(resolution,[status(thm)],[f1477,f429]) ).
fof(f1514,plain,
coll(sK21_skl,sK25_skl,sK22_skl),
inference(resolution,[status(thm)],[f1489,f98]) ).
fof(f2527,plain,
coll(sK20_skl,sK22_skl,sK21_skl),
inference(resolution,[status(thm)],[f798,f1514]) ).
fof(f2537,plain,
coll(sK22_skl,sK20_skl,sK21_skl),
inference(resolution,[status(thm)],[f2527,f100]) ).
fof(f2539,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2537,f381]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO579+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n016.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sun Sep 20 17:42:43 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.16/5.40 % Drodi V4.1.1
% 0.16/5.63 % Refutation found
% 0.16/5.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/5.65 % Elapsed time: 0.248917 seconds
% 0.16/5.65 % CPU time: 1.775952 seconds
% 0.16/5.65 % Total memory used: 99.282 MB
% 0.16/5.65 % Net memory used: 98.130 MB
%------------------------------------------------------------------------------