%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO636+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 : n012.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 12:25:25 PM UTC 2026
% Result : Theorem 0.08s 0.42s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 21
% Syntax : Number of formulae : 115 ( 8 unt; 2 def)
% Number of atoms : 290 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 304 ( 129 ~; 121 |; 32 &)
% ( 2 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 3 prp; 0-8 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 445 ( 431 !; 14 ?)
% 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(f7,axiom,
! [A,B,C,D] :
( perp(A,B,C,D)
=> perp(A,B,D,C) ),
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(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(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(f21,axiom,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,C,D,P,Q,U,V)
=> eqangle(A,B,P,Q,C,D,U,V) ),
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,M,N,Q,P] :
( ( coll(P,A,C)
& perp(P,M,A,C)
& coll(Q,A,B)
& perp(Q,M,A,B)
& eqangle(C,A,A,N,M,A,A,B) )
=> perp(A,N,P,Q) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,M,N,Q,P] :
( ( coll(P,A,C)
& perp(P,M,A,C)
& coll(Q,A,B)
& perp(Q,M,A,B)
& eqangle(C,A,A,N,M,A,A,B) )
=> perp(A,N,P,Q) ),
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(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(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(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(f143,plain,
! [A,B,C,D,P,Q,U,V] :
( eqangle(A,B,P,Q,C,D,U,V)
| ~ eqangle(A,B,C,D,P,Q,U,V) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f144,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
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,M,N,Q,P] :
( ~ perp(A,N,P,Q)
& coll(P,A,C)
& perp(P,M,A,C)
& coll(Q,A,B)
& perp(Q,M,A,B)
& eqangle(C,A,A,N,M,A,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [A,N,Q,P] :
( ~ perp(A,N,P,Q)
& ? [C] :
( coll(P,A,C)
& ? [M] :
( perp(P,M,A,C)
& ? [B] :
( coll(Q,A,B)
& perp(Q,M,A,B)
& eqangle(C,A,A,N,M,A,A,B) ) ) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ perp(sK20_skl,sK21_skl,sK23_skl,sK22_skl)
& coll(sK23_skl,sK20_skl,sK24_skl)
& perp(sK23_skl,sK25_skl,sK20_skl,sK24_skl)
& coll(sK22_skl,sK20_skl,sK26_skl)
& perp(sK22_skl,sK25_skl,sK20_skl,sK26_skl)
& eqangle(sK24_skl,sK20_skl,sK20_skl,sK21_skl,sK25_skl,sK20_skl,sK20_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(A,sK20_skl),skolemize(N,sK21_skl),skolemize(Q,sK22_skl),skolemize(P,sK23_skl),skolemize(C,sK24_skl),skolemize(M,sK25_skl),skolemize(B,sK26_skl)],[f370]) ).
fof(f375,plain,
perp(sK23_skl,sK25_skl,sK20_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f377,plain,
~ perp(sK20_skl,sK21_skl,sK23_skl,sK22_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f414,plain,
perp(sK23_skl,sK25_skl,sK24_skl,sK20_skl),
inference(resolution,[status(thm)],[f112,f375]) ).
fof(f419,plain,
perp(sK20_skl,sK24_skl,sK23_skl,sK25_skl),
inference(resolution,[status(thm)],[f114,f375]) ).
fof(f443,plain,
! [X0,X1] :
( para(X0,X1,sK23_skl,sK25_skl)
| ~ perp(X0,X1,sK20_skl,sK24_skl) ),
inference(resolution,[status(thm)],[f117,f419]) ).
fof(f446,plain,
! [X0,X1] :
( para(X0,X1,sK24_skl,sK20_skl)
| ~ perp(X0,X1,sK23_skl,sK25_skl) ),
inference(resolution,[status(thm)],[f117,f414]) ).
fof(f1426,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f189,f144]) ).
fof(f1428,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X4,X5,X0,X1,X4,X5,X2,X3)
| ~ para(X0,X1,X2,X3) ),
inference(resolution,[status(thm)],[f189,f140]) ).
fof(f1465,plain,
para(sK23_skl,sK25_skl,sK23_skl,sK25_skl),
inference(resolution,[status(thm)],[f443,f375]) ).
fof(f1901,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f1428,f186]) ).
fof(f1910,definition,
! [X0,X1] :
( sQ15_spl
<=> ~ para(X0,X1,X0,X1) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1911,plain,
! [X0,X1] :
( ~ sQ15_spl
| ~ para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f1910]) ).
fof(f1913,definition,
! [X2,X3] :
( sQ16_spl
<=> para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1914,plain,
! [X0,X1] :
( ~ sQ16_spl
| para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f1913]) ).
fof(f1916,plain,
( sQ16_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1901,f1910,f1913]) ).
fof(f1917,plain,
( ~ sQ15_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1465,f1911]) ).
fof(f1934,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1917]) ).
fof(f1941,plain,
! [X0,X1] :
( ~ sQ16_spl
| coll(X0,X1,X1) ),
inference(resolution,[status(thm)],[f1914,f256]) ).
fof(f1993,plain,
! [X0,X1] :
( ~ sQ16_spl
| coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[f1941,f100]) ).
fof(f2047,plain,
! [X0,X1] :
( ~ sQ16_spl
| coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f1993,f98]) ).
fof(f2060,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| coll(X1,X2,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f2047,f103]) ).
fof(f2063,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2060,f2047]) ).
fof(f2065,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f2063]) ).
fof(f2152,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| ~ para(X1,X0,X1,X0)
| cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2065,f1426]) ).
fof(f2161,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| cyclic(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2152,f1914]) ).
fof(f2167,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2161,f136]) ).
fof(f2171,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2167,f2161]) ).
fof(f2176,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ16_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,f2171]) ).
fof(f2177,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f2171]) ).
fof(f2178,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ16_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)],[f2176,f2171]) ).
fof(f2273,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ16_spl
| cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f2178,f2171]) ).
fof(f2286,plain,
! [X0,X1] :
( ~ sQ16_spl
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f2177,f2273]) ).
fof(f2464,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| perp(X0,X0,X1,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f232,f2286]) ).
fof(f2474,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| perp(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f2464,f2286]) ).
fof(f2512,plain,
! [X0] :
( ~ sQ16_spl
| para(X0,X0,sK23_skl,sK25_skl) ),
inference(resolution,[status(thm)],[f2474,f443]) ).
fof(f2516,plain,
! [X0] :
( ~ sQ16_spl
| para(X0,X0,sK24_skl,sK20_skl) ),
inference(resolution,[status(thm)],[f2474,f446]) ).
fof(f2611,plain,
! [X0] :
( ~ sQ16_spl
| para(sK23_skl,sK25_skl,X0,X0) ),
inference(resolution,[status(thm)],[f2512,f107]) ).
fof(f2635,plain,
! [X0] :
( ~ sQ16_spl
| para(sK24_skl,sK20_skl,X0,X0) ),
inference(resolution,[status(thm)],[f2516,f107]) ).
fof(f2645,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| perp(sK23_skl,sK25_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2611,f120]) ).
fof(f2649,plain,
! [X0,X1] :
( ~ sQ16_spl
| perp(sK23_skl,sK25_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2645,f2474]) ).
fof(f2702,plain,
! [X0,X1,X2] :
( ~ sQ16_spl
| perp(sK24_skl,sK20_skl,X1,X2)
| ~ perp(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f2635,f120]) ).
fof(f2706,plain,
! [X0,X1] :
( ~ sQ16_spl
| perp(sK24_skl,sK20_skl,X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f2702,f2474]) ).
fof(f2722,plain,
! [X0,X1] :
( ~ sQ16_spl
| perp(X0,X1,sK23_skl,sK25_skl) ),
inference(resolution,[status(thm)],[f2649,f114]) ).
fof(f2799,plain,
! [X0,X1] :
( ~ sQ16_spl
| para(X0,X1,sK24_skl,sK20_skl) ),
inference(backward_subsumption_resolution,[status(thm)],[f446,f2722]) ).
fof(f2901,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| perp(X2,X3,X0,X1)
| ~ perp(sK24_skl,sK20_skl,X0,X1) ),
inference(resolution,[status(thm)],[f2799,f120]) ).
fof(f2905,plain,
! [X0,X1,X2,X3] :
( ~ sQ16_spl
| perp(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f2901,f2706]) ).
fof(f2907,plain,
( ~ sQ16_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f377,f2905]) ).
fof(f2910,plain,
~ sQ16_spl,
inference(contradiction_clause,[status(thm)],[f2907]) ).
fof(f2911,plain,
$false,
inference(sat_refutation,[status(thm)],[f1916,f1934,f2910]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GEO636+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Sun Sep 20 18:07:52 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.08/0.42 % Refutation found
% 0.08/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.42 % Elapsed time: 0.112327 seconds
% 0.08/0.42 % CPU time: 0.700194 seconds
% 0.08/0.42 % Total memory used: 98.870 MB
% 0.08/0.42 % Net memory used: 96.792 MB
%------------------------------------------------------------------------------