%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO566+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 : n026.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 12:25:15 PM UTC 2026
% Result : Theorem 0.08s 0.59s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 36 unt; 0 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 136 ( 40 ~; 35 |; 50 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 157 ( 141 !; 16 ?)
% 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(f4,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
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,F,H,T,Q,P] :
( ( coll(P,A,C)
& perp(P,F,A,C)
& coll(Q,A,H)
& perp(Q,F,A,H)
& coll(T,B,C)
& perp(T,F,B,C)
& perp(A,C,B,H)
& perp(B,C,A,H)
& coll(F,A,B)
& perp(F,C,A,B) )
=> coll(P,Q,T) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,F,H,T,Q,P] :
( ( coll(P,A,C)
& perp(P,F,A,C)
& coll(Q,A,H)
& perp(Q,F,A,H)
& coll(T,B,C)
& perp(T,F,B,C)
& perp(A,C,B,H)
& perp(B,C,A,H)
& coll(F,A,B)
& perp(F,C,A,B) )
=> coll(P,Q,T) ),
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(f104,plain,
! [A,B,C,D] :
( para(A,B,D,C)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X3,X2)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [A,B,C,D] :
( para(C,D,A,B)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X0,X1)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f111,plain,
! [A,B,C,D] :
( perp(A,B,D,C)
| ~ perp(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( perp(X0,X1,X3,X2)
| ~ perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
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,F,H,T,Q,P] :
( ~ coll(P,Q,T)
& coll(P,A,C)
& perp(P,F,A,C)
& coll(Q,A,H)
& perp(Q,F,A,H)
& coll(T,B,C)
& perp(T,F,B,C)
& perp(A,C,B,H)
& perp(B,C,A,H)
& coll(F,A,B)
& perp(F,C,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [T,Q,P] :
( ~ coll(P,Q,T)
& ? [A,C] :
( coll(P,A,C)
& ? [F] :
( perp(P,F,A,C)
& ? [H] :
( coll(Q,A,H)
& perp(Q,F,A,H)
& ? [B] :
( coll(T,B,C)
& perp(T,F,B,C)
& perp(A,C,B,H)
& perp(B,C,A,H)
& coll(F,A,B)
& perp(F,C,A,B) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ coll(sK22_skl,sK21_skl,sK20_skl)
& coll(sK22_skl,sK23_skl,sK24_skl)
& perp(sK22_skl,sK25_skl,sK23_skl,sK24_skl)
& coll(sK21_skl,sK23_skl,sK26_skl)
& perp(sK21_skl,sK25_skl,sK23_skl,sK26_skl)
& coll(sK20_skl,sK27_skl,sK24_skl)
& perp(sK20_skl,sK25_skl,sK27_skl,sK24_skl)
& perp(sK23_skl,sK24_skl,sK27_skl,sK26_skl)
& perp(sK27_skl,sK24_skl,sK23_skl,sK26_skl)
& coll(sK25_skl,sK23_skl,sK27_skl)
& perp(sK25_skl,sK24_skl,sK23_skl,sK27_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(T,sK20_skl),skolemize(Q,sK21_skl),skolemize(P,sK22_skl),skolemize(A,sK23_skl),skolemize(C,sK24_skl),skolemize(F,sK25_skl),skolemize(H,sK26_skl),skolemize(B,sK27_skl)],[f370]) ).
fof(f375,plain,
perp(sK23_skl,sK24_skl,sK27_skl,sK26_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f377,plain,
coll(sK20_skl,sK27_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f379,plain,
coll(sK21_skl,sK23_skl,sK26_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(sK22_skl,sK21_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f384,plain,
coll(sK21_skl,sK26_skl,sK23_skl),
inference(resolution,[status(thm)],[f98,f379]) ).
fof(f396,plain,
coll(sK27_skl,sK20_skl,sK24_skl),
inference(resolution,[status(thm)],[f100,f377]) ).
fof(f410,plain,
coll(sK27_skl,sK24_skl,sK20_skl),
inference(resolution,[status(thm)],[f396,f98]) ).
fof(f411,plain,
! [X0] :
( coll(sK24_skl,X0,sK27_skl)
| ~ coll(sK27_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f103,f396]) ).
fof(f418,plain,
! [X0] :
( coll(sK24_skl,X0,sK22_skl)
| ~ coll(sK22_skl,sK23_skl,X0) ),
inference(resolution,[status(thm)],[f103,f381]) ).
fof(f419,plain,
! [X0] :
( coll(sK23_skl,X0,sK21_skl)
| ~ coll(sK21_skl,sK26_skl,X0) ),
inference(resolution,[status(thm)],[f103,f384]) ).
fof(f448,plain,
! [X0] :
( coll(sK20_skl,X0,sK27_skl)
| ~ coll(sK27_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f410,f103]) ).
fof(f467,plain,
coll(sK24_skl,sK24_skl,sK27_skl),
inference(resolution,[status(thm)],[f411,f396]) ).
fof(f468,plain,
! [X0] :
( coll(sK27_skl,X0,sK24_skl)
| ~ coll(sK24_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f467,f103]) ).
fof(f471,plain,
coll(sK24_skl,sK24_skl,sK22_skl),
inference(resolution,[status(thm)],[f418,f381]) ).
fof(f494,plain,
perp(sK27_skl,sK26_skl,sK23_skl,sK24_skl),
inference(resolution,[status(thm)],[f114,f375]) ).
fof(f534,plain,
perp(sK27_skl,sK26_skl,sK24_skl,sK23_skl),
inference(resolution,[status(thm)],[f494,f112]) ).
fof(f576,plain,
! [X0,X1] :
( para(sK23_skl,sK24_skl,X0,X1)
| ~ perp(sK27_skl,sK26_skl,X0,X1) ),
inference(resolution,[status(thm)],[f117,f375]) ).
fof(f793,plain,
para(sK23_skl,sK24_skl,sK24_skl,sK23_skl),
inference(resolution,[status(thm)],[f576,f534]) ).
fof(f794,plain,
para(sK23_skl,sK24_skl,sK23_skl,sK24_skl),
inference(resolution,[status(thm)],[f576,f494]) ).
fof(f809,plain,
para(sK24_skl,sK23_skl,sK23_skl,sK24_skl),
inference(resolution,[status(thm)],[f793,f107]) ).
fof(f830,plain,
para(sK24_skl,sK23_skl,sK24_skl,sK23_skl),
inference(resolution,[status(thm)],[f809,f105]) ).
fof(f843,plain,
coll(sK23_skl,sK24_skl,sK24_skl),
inference(resolution,[status(thm)],[f256,f794]) ).
fof(f845,plain,
coll(sK24_skl,sK23_skl,sK23_skl),
inference(resolution,[status(thm)],[f256,f830]) ).
fof(f854,plain,
coll(sK24_skl,sK23_skl,sK24_skl),
inference(resolution,[status(thm)],[f843,f100]) ).
fof(f860,plain,
coll(sK23_skl,sK24_skl,sK23_skl),
inference(resolution,[status(thm)],[f845,f100]) ).
fof(f880,plain,
! [X0] :
( coll(sK24_skl,X0,sK24_skl)
| ~ coll(sK24_skl,sK23_skl,X0) ),
inference(resolution,[status(thm)],[f854,f103]) ).
fof(f888,plain,
coll(sK23_skl,sK23_skl,sK24_skl),
inference(resolution,[status(thm)],[f860,f98]) ).
fof(f915,plain,
! [X0] :
( coll(sK24_skl,X0,sK23_skl)
| ~ coll(sK23_skl,sK23_skl,X0) ),
inference(resolution,[status(thm)],[f888,f103]) ).
fof(f1012,plain,
coll(sK23_skl,sK23_skl,sK21_skl),
inference(resolution,[status(thm)],[f419,f384]) ).
fof(f1218,plain,
coll(sK27_skl,sK22_skl,sK24_skl),
inference(resolution,[status(thm)],[f468,f471]) ).
fof(f1230,plain,
coll(sK27_skl,sK24_skl,sK22_skl),
inference(resolution,[status(thm)],[f1218,f98]) ).
fof(f1257,plain,
coll(sK20_skl,sK22_skl,sK27_skl),
inference(resolution,[status(thm)],[f1230,f448]) ).
fof(f1302,plain,
coll(sK20_skl,sK27_skl,sK22_skl),
inference(resolution,[status(thm)],[f1257,f98]) ).
fof(f1368,plain,
! [X0] :
( coll(sK22_skl,X0,sK20_skl)
| ~ coll(sK20_skl,sK27_skl,X0) ),
inference(resolution,[status(thm)],[f1302,f103]) ).
fof(f2313,plain,
coll(sK24_skl,sK21_skl,sK23_skl),
inference(resolution,[status(thm)],[f915,f1012]) ).
fof(f2319,plain,
coll(sK24_skl,sK23_skl,sK21_skl),
inference(resolution,[status(thm)],[f2313,f98]) ).
fof(f2326,plain,
coll(sK24_skl,sK21_skl,sK24_skl),
inference(resolution,[status(thm)],[f2319,f880]) ).
fof(f2349,plain,
coll(sK24_skl,sK24_skl,sK21_skl),
inference(resolution,[status(thm)],[f2326,f98]) ).
fof(f2392,plain,
coll(sK27_skl,sK21_skl,sK24_skl),
inference(resolution,[status(thm)],[f2349,f468]) ).
fof(f2450,plain,
coll(sK27_skl,sK24_skl,sK21_skl),
inference(resolution,[status(thm)],[f2392,f98]) ).
fof(f2527,plain,
coll(sK20_skl,sK21_skl,sK27_skl),
inference(resolution,[status(thm)],[f2450,f448]) ).
fof(f2601,plain,
coll(sK20_skl,sK27_skl,sK21_skl),
inference(resolution,[status(thm)],[f2527,f98]) ).
fof(f3890,plain,
coll(sK22_skl,sK21_skl,sK20_skl),
inference(resolution,[status(thm)],[f1368,f2601]) ).
fof(f3897,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3890,f382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO566+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 17:37:53 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.59 % Refutation found
% 0.08/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.23/0.62 % Elapsed time: 0.251556 seconds
% 1.23/0.62 % CPU time: 1.665850 seconds
% 1.23/0.62 % Total memory used: 102.204 MB
% 1.23/0.62 % Net memory used: 100.907 MB
%------------------------------------------------------------------------------