%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO567+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 : n014.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 0.14s 10.59s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 99 ( 12 unt; 4 def)
% Number of atoms : 240 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 233 ( 92 ~; 89 |; 33 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 5 prp; 0-8 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 303 ( 291 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(f14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [A,B,C,D,E] :
( ( cyclic(A,B,C,E)
& cyclic(A,B,C,D) )
=> cyclic(B,C,D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(C,D,A,B,U,V,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
=> eqangle(A,B,P,Q,C,D,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [A,B,P,Q] :
( ( ~ coll(P,Q,A)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [A,B,P,Q] :
( ( coll(P,Q,B)
& eqangle(P,A,P,B,Q,A,Q,B) )
=> cyclic(A,B,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,Q,P] :
( ( coll(P,A,C)
& perp(P,D,A,C)
& coll(Q,A,B)
& perp(Q,D,A,B)
& coll(D,B,C)
& perp(D,A,B,C) )
=> cyclic(B,Q,P,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,Q,P] :
( ( coll(P,A,C)
& perp(P,D,A,C)
& coll(Q,A,B)
& perp(Q,D,A,B)
& coll(D,B,C)
& perp(D,A,B,C) )
=> cyclic(B,Q,P,C) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
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(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(f128,plain,
! [A,B,C,D] :
( cyclic(A,B,D,C)
| ~ cyclic(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X3,X2)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f128]) ).
fof(f130,plain,
! [A,B,C,D] :
( cyclic(A,C,B,D)
| ~ cyclic(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f131,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X2,X1,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f130]) ).
fof(f132,plain,
! [A,B,C,D] :
( cyclic(B,A,C,D)
| ~ cyclic(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f133,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f132]) ).
fof(f134,plain,
! [A,B,C,D,E] :
( cyclic(B,C,D,E)
| ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f135,plain,
! [B,C,D,E] :
( cyclic(B,C,D,E)
| ! [A] :
( ~ cyclic(A,B,C,E)
| ~ cyclic(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f134]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4] :
( cyclic(X1,X2,X3,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f139,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(C,D,A,B,U,V,P,Q)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f140,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f139]) ).
fof(f187,plain,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f188,plain,
! [A,B,C,D] :
( ! [P,Q] : eqangle(A,B,P,Q,C,D,P,Q)
| ~ para(A,B,C,D) ),
inference(miniscoping,[status(thm)],[f187]) ).
fof(f189,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f188]) ).
fof(f192,plain,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
| coll(P,Q,A)
| ~ eqangle(P,A,P,B,Q,A,Q,B) ),
inference(pre_NNF_transformation,[status(thm)],[f42]) ).
fof(f193,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X2,X0,X3)
| coll(X0,X3,X1)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
| ~ coll(P,Q,B)
| ~ eqangle(P,A,P,B,Q,A,Q,B) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f195,plain,
! [X0,X1,X2,X3] :
( cyclic(X1,X2,X0,X3)
| ~ coll(X0,X3,X2)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f369,plain,
? [A,B,C,D,Q,P] :
( ~ cyclic(B,Q,P,C)
& coll(P,A,C)
& perp(P,D,A,C)
& coll(Q,A,B)
& perp(Q,D,A,B)
& coll(D,B,C)
& perp(D,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [B,C,Q,P] :
( ~ cyclic(B,Q,P,C)
& ? [A] :
( coll(P,A,C)
& ? [D] :
( perp(P,D,A,C)
& coll(Q,A,B)
& perp(Q,D,A,B)
& coll(D,B,C)
& perp(D,A,B,C) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ cyclic(sK20_skl,sK22_skl,sK23_skl,sK21_skl)
& coll(sK23_skl,sK24_skl,sK21_skl)
& perp(sK23_skl,sK25_skl,sK24_skl,sK21_skl)
& coll(sK22_skl,sK24_skl,sK20_skl)
& perp(sK22_skl,sK25_skl,sK24_skl,sK20_skl)
& coll(sK25_skl,sK20_skl,sK21_skl)
& perp(sK25_skl,sK24_skl,sK20_skl,sK21_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(Q,sK22_skl),skolemize(P,sK23_skl),skolemize(A,sK24_skl),skolemize(D,sK25_skl)],[f370]) ).
fof(f372,plain,
perp(sK25_skl,sK24_skl,sK20_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f378,plain,
~ cyclic(sK20_skl,sK22_skl,sK23_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f382,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X4,X5,X0,X1)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f117,f107]) ).
fof(f400,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X4,X5,X1,X0)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f382,f105]) ).
fof(f418,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X1,X0,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f400,f107]) ).
fof(f441,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X1,X0,X5,X4)
| ~ perp(X2,X3,X4,X5)
| ~ perp(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f418,f105]) ).
fof(f850,plain,
! [X0,X1] :
( para(X1,X0,sK21_skl,sK20_skl)
| ~ perp(X0,X1,sK25_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f441,f372]) ).
fof(f856,plain,
! [X0,X1] :
( ~ perp(sK25_skl,sK24_skl,X1,X0)
| para(X0,X1,sK21_skl,sK20_skl) ),
inference(resolution,[status(thm)],[f850,f114]) ).
fof(f863,plain,
para(sK21_skl,sK20_skl,sK21_skl,sK20_skl),
inference(resolution,[status(thm)],[f856,f372]) ).
fof(f866,plain,
! [X0,X1] : eqangle(sK21_skl,sK20_skl,X0,X1,sK21_skl,sK20_skl,X0,X1),
inference(resolution,[status(thm)],[f863,f189]) ).
fof(f869,plain,
para(sK21_skl,sK20_skl,sK20_skl,sK21_skl),
inference(resolution,[status(thm)],[f863,f105]) ).
fof(f873,plain,
para(sK20_skl,sK21_skl,sK21_skl,sK20_skl),
inference(resolution,[status(thm)],[f869,f107]) ).
fof(f878,plain,
para(sK20_skl,sK21_skl,sK20_skl,sK21_skl),
inference(resolution,[status(thm)],[f873,f105]) ).
fof(f879,plain,
! [X0,X1] : eqangle(sK20_skl,sK21_skl,X0,X1,sK20_skl,sK21_skl,X0,X1),
inference(resolution,[status(thm)],[f878,f189]) ).
fof(f891,plain,
! [X0,X1] : eqangle(X0,X1,sK21_skl,sK20_skl,X0,X1,sK21_skl,sK20_skl),
inference(resolution,[status(thm)],[f866,f140]) ).
fof(f896,definition,
( sQ10_spl
<=> coll(sK21_skl,sK21_skl,sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f898,plain,
( sQ10_spl
| ~ coll(sK21_skl,sK21_skl,sK20_skl) ),
inference(component_clause,[status(thm)],[f896]) ).
fof(f962,plain,
! [X0] :
( cyclic(sK21_skl,X0,sK20_skl,sK20_skl)
| coll(sK20_skl,sK20_skl,sK21_skl) ),
inference(resolution,[status(thm)],[f879,f193]) ).
fof(f963,definition,
( sQ16_spl
<=> coll(sK20_skl,sK20_skl,sK21_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f964,plain,
( ~ sQ16_spl
| coll(sK20_skl,sK20_skl,sK21_skl) ),
inference(component_clause,[status(thm)],[f963]) ).
fof(f966,definition,
! [X0] :
( sQ17_spl
<=> cyclic(sK21_skl,X0,sK20_skl,sK20_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f967,plain,
! [X0] :
( ~ sQ17_spl
| cyclic(sK21_skl,X0,sK20_skl,sK20_skl) ),
inference(component_clause,[status(thm)],[f966]) ).
fof(f969,plain,
( sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f962,f963,f966]) ).
fof(f1008,plain,
! [X0] :
( cyclic(X0,sK20_skl,sK21_skl,sK21_skl)
| ~ coll(sK21_skl,sK21_skl,sK20_skl) ),
inference(resolution,[status(thm)],[f891,f195]) ).
fof(f1011,definition,
! [X0] :
( sQ22_spl
<=> cyclic(X0,sK20_skl,sK21_skl,sK21_skl) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
! [X0] :
( ~ sQ22_spl
| cyclic(X0,sK20_skl,sK21_skl,sK21_skl) ),
inference(component_clause,[status(thm)],[f1011]) ).
fof(f1014,plain,
( sQ22_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f1008,f896,f1011]) ).
fof(f1034,plain,
! [X0] :
( sQ10_spl
| ~ coll(sK20_skl,X0,sK21_skl)
| ~ coll(sK20_skl,X0,sK21_skl) ),
inference(resolution,[status(thm)],[f898,f103]) ).
fof(f1037,plain,
! [X0] :
( sQ10_spl
| ~ coll(sK20_skl,X0,sK21_skl) ),
inference(duplicate_literals_removal,[status(thm)],[f1034]) ).
fof(f1038,plain,
( ~ sQ16_spl
| sQ10_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f964,f1037]) ).
fof(f1052,plain,
( ~ sQ16_spl
| sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1038]) ).
fof(f1060,plain,
! [X0] :
( ~ sQ22_spl
| cyclic(sK20_skl,X0,sK21_skl,sK21_skl) ),
inference(resolution,[status(thm)],[f1012,f133]) ).
fof(f1071,plain,
! [X0] :
( ~ sQ17_spl
| cyclic(sK21_skl,sK20_skl,X0,sK20_skl) ),
inference(resolution,[status(thm)],[f967,f131]) ).
fof(f1081,plain,
! [X0] :
( ~ sQ22_spl
| cyclic(sK20_skl,sK21_skl,X0,sK21_skl) ),
inference(resolution,[status(thm)],[f1060,f131]) ).
fof(f1112,plain,
! [X0] :
( ~ sQ17_spl
| cyclic(sK21_skl,sK20_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f1071,f129]) ).
fof(f1122,plain,
! [X0] :
( ~ sQ22_spl
| cyclic(sK20_skl,sK21_skl,sK21_skl,X0) ),
inference(resolution,[status(thm)],[f1081,f129]) ).
fof(f1168,plain,
! [X0,X1] :
( ~ sQ17_spl
| cyclic(sK20_skl,sK20_skl,X0,X1)
| ~ cyclic(sK21_skl,sK20_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f1112,f136]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ sQ17_spl
| cyclic(sK20_skl,sK20_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f1112]) ).
fof(f1183,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| cyclic(sK20_skl,X0,X1,X2)
| ~ cyclic(sK20_skl,sK20_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1177,f136]) ).
fof(f1192,plain,
! [X0,X1,X2] :
( ~ sQ17_spl
| cyclic(sK20_skl,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1183,f1177]) ).
fof(f1193,plain,
( ~ sQ17_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f378,f1192]) ).
fof(f1204,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1193]) ).
fof(f1220,plain,
! [X0,X1] :
( ~ sQ22_spl
| cyclic(sK21_skl,sK21_skl,X0,X1)
| ~ cyclic(sK20_skl,sK21_skl,sK21_skl,X0) ),
inference(resolution,[status(thm)],[f1122,f136]) ).
fof(f1229,plain,
! [X0,X1] :
( ~ sQ22_spl
| cyclic(sK21_skl,sK21_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1220,f1122]) ).
fof(f1235,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| cyclic(sK21_skl,X0,X1,X2)
| ~ cyclic(sK21_skl,sK21_skl,X0,X1) ),
inference(resolution,[status(thm)],[f1229,f136]) ).
fof(f1244,plain,
! [X0,X1,X2] :
( ~ sQ22_spl
| cyclic(sK21_skl,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1235,f1229]) ).
fof(f1250,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| cyclic(X0,X1,X2,X3)
| ~ cyclic(sK21_skl,X0,X1,X2) ),
inference(resolution,[status(thm)],[f1244,f136]) ).
fof(f1259,plain,
! [X0,X1,X2,X3] :
( ~ sQ22_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f1250,f1244]) ).
fof(f1263,plain,
( ~ sQ22_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f378,f1259]) ).
fof(f1267,plain,
~ sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1263]) ).
fof(f1268,plain,
$false,
inference(sat_refutation,[status(thm)],[f969,f1014,f1052,f1204,f1267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO567+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/10.38 % Computer : n014.cluster.edu
% 0.11/10.38 % Model : x86_64 x86_64
% 0.11/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38 % Memory : 8046.5625MB
% 0.11/10.38 % OS : Linux 6.8.0-71-generic
% 0.11/10.38 % CPULimit : 300
% 0.11/10.38 % WCLimit : 300
% 0.11/10.38 % DateTime : Sun Sep 20 17:35:46 UTC 2026
% 0.11/10.38 % CPUTime :
% 0.11/10.39 % Drodi V4.1.1
% 0.14/10.59 % Refutation found
% 0.14/10.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.61 % Elapsed time: 0.225884 seconds
% 0.14/10.61 % CPU time: 1.607407 seconds
% 0.14/10.61 % Total memory used: 102.306 MB
% 0.14/10.61 % Net memory used: 100.522 MB
%------------------------------------------------------------------------------