%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO611+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 : n004.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 12:25:22 PM UTC 2026
% Result : Theorem 0.13s 0.51s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 23
% Syntax : Number of formulae : 126 ( 7 unt; 2 def)
% Number of atoms : 329 ( 0 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 343 ( 140 ~; 132 |; 47 &)
% ( 2 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 502 ( 482 !; 20 ?)
% 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(f5,axiom,
! [A,B,C,D] :
( para(A,B,C,D)
=> para(C,D,A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(C,D,A,B) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,B,D,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(A,C,B,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [A,B,C,D] :
( cyclic(A,B,C,D)
=> cyclic(B,A,C,D) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [A,B,C] :
( para(A,B,A,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2] :
( ( coll(H,E,G)
& circle(D,E,H,NWPNT2)
& coll(G,A,B)
& perp(G,E,A,B)
& coll(F,A,C)
& perp(F,E,A,C)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) )
=> para(G,F,H,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,D,E,F,G,H,NWPNT1,NWPNT2] :
( ( coll(H,E,G)
& circle(D,E,H,NWPNT2)
& coll(G,A,B)
& perp(G,E,A,B)
& coll(F,A,C)
& perp(F,E,A,C)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) )
=> para(G,F,H,C) ),
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,D,E,F,G,H,NWPNT1,NWPNT2] :
( ~ para(G,F,H,C)
& coll(H,E,G)
& circle(D,E,H,NWPNT2)
& coll(G,A,B)
& perp(G,E,A,B)
& coll(F,A,C)
& perp(F,E,A,C)
& circle(D,A,E,NWPNT1)
& circle(D,A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [C,F,G,H] :
( ~ para(G,F,H,C)
& ? [E] :
( coll(H,E,G)
& ? [D] :
( ? [NWPNT2] : circle(D,E,H,NWPNT2)
& ? [A,B] :
( coll(G,A,B)
& perp(G,E,A,B)
& coll(F,A,C)
& perp(F,E,A,C)
& ? [NWPNT1] : circle(D,A,E,NWPNT1)
& circle(D,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,sK22_skl)
& circle(sK25_skl,sK24_skl,sK23_skl,sK29_skl)
& coll(sK22_skl,sK26_skl,sK27_skl)
& perp(sK22_skl,sK24_skl,sK26_skl,sK27_skl)
& coll(sK21_skl,sK26_skl,sK20_skl)
& perp(sK21_skl,sK24_skl,sK26_skl,sK20_skl)
& circle(sK25_skl,sK26_skl,sK24_skl,sK28_skl)
& circle(sK25_skl,sK26_skl,sK27_skl,sK20_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]),skolemize(C,sK20_skl),skolemize(F,sK21_skl),skolemize(G,sK22_skl),skolemize(H,sK23_skl),skolemize(E,sK24_skl),skolemize(D,sK25_skl),skolemize(A,sK26_skl),skolemize(B,sK27_skl),skolemize(NWPNT1,sK28_skl),skolemize(NWPNT2,sK29_skl)],[f370]) ).
fof(f374,plain,
perp(sK21_skl,sK24_skl,sK26_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f380,plain,
~ para(sK22_skl,sK21_skl,sK23_skl,sK20_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f442,plain,
perp(sK26_skl,sK20_skl,sK21_skl,sK24_skl),
inference(resolution,[status(thm)],[f114,f374]) ).
fof(f446,plain,
! [X0,X1] :
( para(X0,X1,sK26_skl,sK20_skl)
| ~ perp(X0,X1,sK21_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f117,f374]) ).
fof(f456,plain,
! [X0,X1] :
( para(X0,X1,sK21_skl,sK24_skl)
| ~ perp(X0,X1,sK26_skl,sK20_skl) ),
inference(resolution,[status(thm)],[f442,f117]) ).
fof(f663,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(f1728,plain,
para(sK21_skl,sK24_skl,sK21_skl,sK24_skl),
inference(resolution,[status(thm)],[f456,f374]) ).
fof(f1827,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f663,f186]) ).
fof(f1829,definition,
! [X0,X1] :
( sQ38_spl
<=> ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1830,plain,
! [X0,X1] :
( ~ sQ38_spl
| ~ para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f1829]) ).
fof(f1832,definition,
! [X2,X3] :
( sQ39_spl
<=> para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1833,plain,
! [X0,X1] :
( ~ sQ39_spl
| para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f1832]) ).
fof(f1835,plain,
( sQ39_spl
| sQ38_spl ),
inference(split_clause,[status(thm)],[f1827,f1829,f1832]) ).
fof(f1836,plain,
( ~ sQ38_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1728,f1830]) ).
fof(f1846,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1836]) ).
fof(f1852,plain,
! [X0,X1] :
( ~ sQ39_spl
| coll(X0,X1,X1) ),
inference(resolution,[status(thm)],[f1833,f256]) ).
fof(f1885,plain,
! [X0,X1] :
( ~ sQ39_spl
| coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[f1852,f100]) ).
fof(f1918,plain,
! [X0,X1] :
( ~ sQ39_spl
| coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1885,f98]) ).
fof(f1925,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| coll(X1,X2,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1918,f103]) ).
fof(f1928,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1925,f1918]) ).
fof(f1929,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f1928]) ).
fof(f2096,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| ~ para(X2,X1,X2,X1)
| cyclic(X0,X1,X2,X2) ),
inference(resolution,[status(thm)],[f1929,f663]) ).
fof(f2104,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| cyclic(X0,X1,X2,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2096,f1833]) ).
fof(f2112,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| cyclic(X0,X1,X2,X1) ),
inference(resolution,[status(thm)],[f2104,f131]) ).
fof(f2115,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| cyclic(X0,X1,X2,X0) ),
inference(resolution,[status(thm)],[f2112,f133]) ).
fof(f2121,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| cyclic(X0,X1,X0,X2) ),
inference(resolution,[status(thm)],[f2115,f129]) ).
fof(f2127,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| cyclic(X1,X0,X2,X3)
| ~ cyclic(X0,X1,X0,X2) ),
inference(resolution,[status(thm)],[f2121,f136]) ).
fof(f2131,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2127,f2121]) ).
fof(f2138,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_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,f2131]) ).
fof(f2139,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f2131]) ).
fof(f2140,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_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)],[f2138,f2131]) ).
fof(f2209,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| eqangle(X0,X1,X1,X2,X3,X0,X3,X2) ),
inference(resolution,[status(thm)],[f2139,f138]) ).
fof(f2307,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| eqangle(X0,X1,X2,X0,X3,X1,X3,X2) ),
inference(resolution,[status(thm)],[f2209,f140]) ).
fof(f2554,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_spl
| cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2140,f2131]) ).
fof(f2556,plain,
! [X0,X1] :
( ~ sQ39_spl
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2554,f2307]) ).
fof(f2571,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| perp(X0,X0,X1,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2556,f232]) ).
fof(f2577,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| perp(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2571,f2556]) ).
fof(f2599,plain,
! [X0] :
( ~ sQ39_spl
| para(X0,X0,sK21_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f2577,f456]) ).
fof(f2602,plain,
! [X0] :
( ~ sQ39_spl
| para(X0,X0,sK26_skl,sK20_skl) ),
inference(resolution,[status(thm)],[f2577,f446]) ).
fof(f2653,plain,
! [X0] :
( ~ sQ39_spl
| para(sK21_skl,sK24_skl,X0,X0) ),
inference(resolution,[status(thm)],[f2599,f107]) ).
fof(f2701,plain,
! [X0] :
( ~ sQ39_spl
| para(sK26_skl,sK20_skl,X0,X0) ),
inference(resolution,[status(thm)],[f2602,f107]) ).
fof(f2717,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| perp(sK21_skl,sK24_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2653,f120]) ).
fof(f2721,plain,
! [X0,X1] :
( ~ sQ39_spl
| perp(sK21_skl,sK24_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2717,f2577]) ).
fof(f2794,plain,
! [X0,X1,X2] :
( ~ sQ39_spl
| perp(sK26_skl,sK20_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2701,f120]) ).
fof(f2798,plain,
! [X0,X1] :
( ~ sQ39_spl
| perp(sK26_skl,sK20_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2794,f2577]) ).
fof(f2840,plain,
! [X0,X1] :
( ~ sQ39_spl
| perp(X0,X1,sK21_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f2721,f114]) ).
fof(f2918,plain,
! [X0,X1] :
( ~ sQ39_spl
| para(X0,X1,sK26_skl,sK20_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f446,f2840]) ).
fof(f2991,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| perp(X2,X3,X0,X1)
| ~ perp(sK26_skl,sK20_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2918,f120]) ).
fof(f2995,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| perp(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2991,f2798]) ).
fof(f2996,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ39_spl
| para(X4,X5,X2,X3)
| ~ perp(X0,X1,X2,X3) ),
inference(backward_subsumption_resolution,[status(thm)],[f117,f2995]) ).
fof(f3001,plain,
! [X0,X1,X2,X3] :
( ~ sQ39_spl
| para(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2996,f2995]) ).
fof(f3008,plain,
( ~ sQ39_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f380,f3001]) ).
fof(f3012,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f3008]) ).
fof(f3013,plain,
$false,
inference(sat_refutation,[status(thm)],[f1835,f1846,f3012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO611+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 17:52:34 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.51 % Refutation found
% 0.13/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.54 % Elapsed time: 0.180017 seconds
% 0.13/0.54 % CPU time: 1.051591 seconds
% 0.13/0.54 % Total memory used: 99.688 MB
% 0.13/0.54 % Net memory used: 97.873 MB
%------------------------------------------------------------------------------