%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO626+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 : n007.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 12:25:24 PM UTC 2026
% Result : Theorem 0.10s 0.57s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 23
% Syntax : Number of formulae : 125 ( 7 unt; 2 def)
% Number of atoms : 337 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 351 ( 139 ~; 131 |; 57 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 506 ( 482 !; 24 ?)
% 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(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(f10,axiom,
! [A,B,C,D,E,F] :
( ( perp(C,D,E,F)
& para(A,B,C,D) )
=> perp(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(f18,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(B,A,C,D,P,Q,U,V) ),
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(f39,axiom,
! [A,B,C,D,P,Q] :
( eqangle(A,B,P,Q,C,D,P,Q)
=> para(A,B,C,D) ),
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(f41,axiom,
! [A,B,P,Q] :
( cyclic(A,B,P,Q)
=> eqangle(P,A,P,B,Q,A,Q,B) ),
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(f44,axiom,
! [A,B,C,P,Q,R] :
( ( eqangle(C,A,C,B,R,P,R,Q)
& cyclic(A,B,C,R)
& cyclic(A,B,C,Q)
& cyclic(A,B,C,P) )
=> cong(A,B,P,Q) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [A,B,P,Q] :
( ( cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(A,B,P,Q) ),
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,O,D,G,F,C1,B1,NWPNT1,NWPNT2,NWPNT3] :
( ( coll(B1,D,F)
& circle(O,D,B1,NWPNT3)
& coll(C1,D,G)
& circle(O,D,C1,NWPNT2)
& coll(F,A,C)
& perp(F,D,A,C)
& coll(G,A,B)
& perp(G,D,A,B)
& circle(O,A,D,NWPNT1)
& circle(O,A,B,C) )
=> para(C1,C,B1,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,O,D,G,F,C1,B1,NWPNT1,NWPNT2,NWPNT3] :
( ( coll(B1,D,F)
& circle(O,D,B1,NWPNT3)
& coll(C1,D,G)
& circle(O,D,C1,NWPNT2)
& coll(F,A,C)
& perp(F,D,A,C)
& coll(G,A,B)
& perp(G,D,A,B)
& circle(O,A,D,NWPNT1)
& circle(O,A,B,C) )
=> para(C1,C,B1,B) ),
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(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(f118,plain,
! [A,B,C,D,E,F] :
( perp(A,B,E,F)
| ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f119,plain,
! [A,B,E,F] :
( perp(A,B,E,F)
| ! [C,D] :
( ~ perp(C,D,E,F)
| ~ para(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f118]) ).
fof(f120,plain,
! [X0,X1,X2,X3,X4,X5] :
( perp(X0,X1,X4,X5)
| ~ perp(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
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(f137,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(B,A,C,D,P,Q,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f138,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f137]) ).
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(f184,plain,
! [A,B,C,D,P,Q] :
( para(A,B,C,D)
| ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f185,plain,
! [A,B,C,D] :
( para(A,B,C,D)
| ! [P,Q] : ~ eqangle(A,B,P,Q,C,D,P,Q) ),
inference(miniscoping,[status(thm)],[f184]) ).
fof(f186,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f185]) ).
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(f190,plain,
! [A,B,P,Q] :
( eqangle(P,A,P,B,Q,A,Q,B)
| ~ cyclic(A,B,P,Q) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f191,plain,
! [X0,X1,X2,X3] :
( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f190]) ).
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(f196,plain,
! [A,B,C,P,Q,R] :
( cong(A,B,P,Q)
| ~ eqangle(C,A,C,B,R,P,R,Q)
| ~ cyclic(A,B,C,R)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,P) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f197,plain,
! [A,B,P,Q] :
( cong(A,B,P,Q)
| ! [C,R] :
( ~ eqangle(C,A,C,B,R,P,R,Q)
| ~ cyclic(A,B,C,R)
| ~ cyclic(A,B,C,Q)
| ~ cyclic(A,B,C,P) ) ),
inference(miniscoping,[status(thm)],[f196]) ).
fof(f198,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f231,plain,
! [A,B,P,Q] :
( perp(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ),
inference(pre_NNF_transformation,[status(thm)],[f57]) ).
fof(f232,plain,
! [X0,X1,X2,X3] :
( perp(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[status(thm)],[f231]) ).
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,O,D,G,F,C1,B1,NWPNT1,NWPNT2,NWPNT3] :
( ~ para(C1,C,B1,B)
& coll(B1,D,F)
& circle(O,D,B1,NWPNT3)
& coll(C1,D,G)
& circle(O,D,C1,NWPNT2)
& coll(F,A,C)
& perp(F,D,A,C)
& coll(G,A,B)
& perp(G,D,A,B)
& circle(O,A,D,NWPNT1)
& circle(O,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [B,C,C1,B1] :
( ~ para(C1,C,B1,B)
& ? [D,F] :
( coll(B1,D,F)
& ? [O] :
( ? [NWPNT3] : circle(O,D,B1,NWPNT3)
& ? [G] :
( coll(C1,D,G)
& ? [NWPNT2] : circle(O,D,C1,NWPNT2)
& ? [A] :
( coll(F,A,C)
& perp(F,D,A,C)
& coll(G,A,B)
& perp(G,D,A,B)
& ? [NWPNT1] : circle(O,A,D,NWPNT1)
& circle(O,A,B,C) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ para(sK22_skl,sK21_skl,sK23_skl,sK20_skl)
& coll(sK23_skl,sK24_skl,sK25_skl)
& circle(sK26_skl,sK24_skl,sK23_skl,sK31_skl)
& coll(sK22_skl,sK24_skl,sK27_skl)
& circle(sK26_skl,sK24_skl,sK22_skl,sK30_skl)
& coll(sK25_skl,sK28_skl,sK21_skl)
& perp(sK25_skl,sK24_skl,sK28_skl,sK21_skl)
& coll(sK27_skl,sK28_skl,sK20_skl)
& perp(sK27_skl,sK24_skl,sK28_skl,sK20_skl)
& circle(sK26_skl,sK28_skl,sK24_skl,sK29_skl)
& circle(sK26_skl,sK28_skl,sK20_skl,sK21_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl,sK27_skl,sK28_skl,sK29_skl,sK30_skl,sK31_skl]),skolemize(B,sK20_skl),skolemize(C,sK21_skl),skolemize(C1,sK22_skl),skolemize(B1,sK23_skl),skolemize(D,sK24_skl),skolemize(F,sK25_skl),skolemize(O,sK26_skl),skolemize(G,sK27_skl),skolemize(A,sK28_skl),skolemize(NWPNT1,sK29_skl),skolemize(NWPNT2,sK30_skl),skolemize(NWPNT3,sK31_skl)],[f370]) ).
fof(f376,plain,
perp(sK25_skl,sK24_skl,sK28_skl,sK21_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f382,plain,
~ para(sK22_skl,sK21_skl,sK23_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f480,plain,
perp(sK28_skl,sK21_skl,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f114,f376]) ).
fof(f495,plain,
! [X0,X1] :
( para(X0,X1,sK25_skl,sK24_skl)
| ~ perp(X0,X1,sK28_skl,sK21_skl) ),
inference(resolution,[status(thm)],[f117,f480]) ).
fof(f499,plain,
! [X0,X1] :
( para(X0,X1,sK28_skl,sK21_skl)
| ~ perp(X0,X1,sK25_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f117,f376]) ).
fof(f664,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ para(X2,X3,X4,X5)
| eqangle(X0,X1,X2,X3,X0,X1,X4,X5) ),
inference(resolution,[status(thm)],[f140,f189]) ).
fof(f1558,plain,
para(sK25_skl,sK24_skl,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f495,f376]) ).
fof(f1810,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f664,f186]) ).
fof(f1811,definition,
! [X0,X1] :
( sQ40_spl
<=> ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ sQ40_spl
| ~ para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f1811]) ).
fof(f1814,definition,
! [X2,X3] :
( sQ41_spl
<=> para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1815,plain,
! [X0,X1] :
( ~ sQ41_spl
| para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f1814]) ).
fof(f1817,plain,
( sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1810,f1811,f1814]) ).
fof(f1819,plain,
( ~ sQ40_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1558,f1812]) ).
fof(f1829,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1819]) ).
fof(f1833,plain,
! [X0,X1] :
( ~ sQ41_spl
| coll(X0,X1,X1) ),
inference(resolution,[status(thm)],[f1815,f256]) ).
fof(f1870,plain,
! [X0,X1] :
( ~ sQ41_spl
| coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[f1833,f100]) ).
fof(f1905,plain,
! [X0,X1] :
( ~ sQ41_spl
| coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1870,f98]) ).
fof(f1910,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| coll(X1,X2,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1905,f103]) ).
fof(f1913,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1910,f1905]) ).
fof(f1914,plain,
! [X0,X1,X2,X3] :
( ~ sQ41_spl
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f1913]) ).
fof(f1959,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ para(X2,X1,X2,X1)
| cyclic(X0,X1,X2,X2) ),
inference(resolution,[status(thm)],[f1914,f664]) ).
fof(f1967,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| cyclic(X0,X1,X2,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1959,f1815]) ).
fof(f1976,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| cyclic(X0,X1,X2,X1) ),
inference(resolution,[status(thm)],[f1967,f131]) ).
fof(f1979,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| cyclic(X0,X1,X2,X0) ),
inference(resolution,[status(thm)],[f1976,f133]) ).
fof(f1985,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| cyclic(X0,X1,X0,X2) ),
inference(resolution,[status(thm)],[f1979,f129]) ).
fof(f1991,plain,
! [X0,X1,X2,X3] :
( ~ sQ41_spl
| cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X0,X2) ),
inference(resolution,[status(thm)],[f1985,f136]) ).
fof(f1995,plain,
! [X0,X1,X2,X3] :
( ~ sQ41_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f1991,f1985]) ).
fof(f2002,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ41_spl
| cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f198,f1995]) ).
fof(f2003,plain,
! [X0,X1,X2,X3] :
( ~ sQ41_spl
| eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f1995]) ).
fof(f2004,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ41_spl
| cong(X0,X1,X5,X3)
| ~ eqangle(X2,X0,X2,X1,X4,X5,X4,X3)
| ~ cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2002,f1995]) ).
fof(f2283,plain,
! [X0,X1,X2,X3] :
( ~ sQ41_spl
| eqangle(X0,X1,X1,X2,X3,X0,X3,X2) ),
inference(resolution,[status(thm)],[f2003,f138]) ).
fof(f2458,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ41_spl
| cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2004,f1995]) ).
fof(f2460,plain,
! [X0,X1] :
( ~ sQ41_spl
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2458,f2283]) ).
fof(f2472,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| perp(X0,X0,X1,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2460,f232]) ).
fof(f2478,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| perp(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2472,f2460]) ).
fof(f2500,plain,
! [X0] :
( ~ sQ41_spl
| para(X0,X0,sK25_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f2478,f495]) ).
fof(f2505,plain,
! [X0] :
( ~ sQ41_spl
| para(X0,X0,sK28_skl,sK21_skl) ),
inference(resolution,[status(thm)],[f2478,f499]) ).
fof(f2554,plain,
! [X0] :
( ~ sQ41_spl
| para(sK25_skl,sK24_skl,X0,X0) ),
inference(resolution,[status(thm)],[f2500,f107]) ).
fof(f2612,plain,
! [X0] :
( ~ sQ41_spl
| para(sK28_skl,sK21_skl,X0,X0) ),
inference(resolution,[status(thm)],[f2505,f107]) ).
fof(f2616,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| perp(sK25_skl,sK24_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2554,f120]) ).
fof(f2620,plain,
! [X0,X1] :
( ~ sQ41_spl
| perp(sK25_skl,sK24_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2616,f2478]) ).
fof(f2725,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| perp(sK28_skl,sK21_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2612,f120]) ).
fof(f2729,plain,
! [X0,X1] :
( ~ sQ41_spl
| perp(sK28_skl,sK21_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2725,f2478]) ).
fof(f2738,plain,
! [X0,X1] :
( ~ sQ41_spl
| perp(X0,X1,sK25_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f2620,f114]) ).
fof(f2805,plain,
! [X0,X1] :
( ~ sQ41_spl
| para(X0,X1,sK28_skl,sK21_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f499,f2738]) ).
fof(f2914,plain,
! [X0,X1,X2,X3] :
( ~ sQ41_spl
| perp(X2,X3,X0,X1)
| ~ perp(sK28_skl,sK21_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2805,f120]) ).
fof(f2918,plain,
! [X0,X1,X2,X3] :
( ~ sQ41_spl
| perp(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2914,f2729]) ).
fof(f2919,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ41_spl
| para(X4,X5,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f117,f2918]) ).
fof(f2922,plain,
! [X0,X1,X2,X3] :
( ~ sQ41_spl
| para(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2919,f2918]) ).
fof(f2929,plain,
( ~ sQ41_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f382,f2922]) ).
fof(f2933,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f2929]) ).
fof(f2934,plain,
$false,
inference(sat_refutation,[status(thm)],[f1817,f1829,f2933]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO626+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.38 % Computer : n007.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 20 17:59:36 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.40 % Drodi V4.1.1
% 0.10/0.57 % Refutation found
% 0.10/0.57 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.88/0.60 % Elapsed time: 0.200668 seconds
% 0.88/0.60 % CPU time: 1.225771 seconds
% 0.88/0.60 % Total memory used: 100.820 MB
% 0.88/0.60 % Net memory used: 98.617 MB
%------------------------------------------------------------------------------