%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GEO542+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 : 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 12:25:11 PM UTC 2026
% Result : Theorem 14.22s 2.26s
% Output : CNFRefutation 14.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 37
% Syntax : Number of formulae : 208 ( 35 unt; 10 def)
% Number of atoms : 491 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 513 ( 230 ~; 204 |; 41 &)
% ( 10 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 19 ( 18 usr; 11 prp; 0-8 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-6 aty)
% Number of variables : 647 ( 630 !; 17 ?)
% 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(f6,axiom,
! [A,B,C,D,E,F] :
( ( para(C,D,E,F)
& para(A,B,C,D) )
=> para(A,B,E,F) ),
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(f11,axiom,
! [A,B,M] :
( midp(M,B,A)
=> midp(M,A,B) ),
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(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/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(A,B,D,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [A,B,C,D] :
( cong(A,B,C,D)
=> cong(C,D,A,B) ),
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(f46,axiom,
! [A,B,C,E,F] :
( ( coll(F,A,C)
& para(E,F,B,C)
& midp(E,A,B) )
=> midp(F,A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,axiom,
! [A,B,M,O] :
( ( perp(O,M,A,B)
& midp(M,A,B) )
=> cong(O,A,O,B) ),
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(f58,axiom,
! [A,B,P,Q] :
( ( cyclic(A,B,P,Q)
& cong(A,Q,B,Q)
& cong(A,P,B,P) )
=> perp(P,A,A,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(f68,axiom,
! [A,B,C] :
( ( coll(A,B,C)
& cong(A,B,A,C) )
=> midp(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
! [A,B,C] :
( midp(A,B,C)
=> coll(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f82,axiom,
! [A,B,C,D,M,N] :
? [P] :
( ( midp(N,C,D)
& midp(M,A,B) )
=> ( para(P,N,A,C)
& para(P,M,B,D)
& midp(P,A,D) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,conjecture,
! [A,B,C,A1,B1,C1,O] :
( ( circle(O,A,B,C)
& midp(C1,B,A)
& midp(B1,C,A)
& midp(A1,C,B) )
=> perp(O,A1,B1,C1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
~ ! [A,B,C,A1,B1,C1,O] :
( ( circle(O,A,B,C)
& midp(C1,B,A)
& midp(B1,C,A)
& midp(A1,C,B) )
=> perp(O,A1,B1,C1) ),
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(f108,plain,
! [A,B,C,D,E,F] :
( para(A,B,E,F)
| ~ para(C,D,E,F)
| ~ para(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f109,plain,
! [A,B,E,F] :
( para(A,B,E,F)
| ! [C,D] :
( ~ para(C,D,E,F)
| ~ para(A,B,C,D) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f110,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X4,X5)
| ~ para(X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
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(f121,plain,
! [A,B,M] :
( midp(M,A,B)
| ~ midp(M,B,A) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f122,plain,
! [X0,X1,X2] :
( midp(X0,X2,X1)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
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(f148,plain,
! [A,B,C,D] :
( cong(A,B,D,C)
| ~ cong(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f149,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f148]) ).
fof(f150,plain,
! [A,B,C,D] :
( cong(C,D,A,B)
| ~ cong(A,B,C,D) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[status(thm)],[f150]) ).
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(f202,plain,
! [A,B,C,E,F] :
( midp(F,A,C)
| ~ coll(F,A,C)
| ~ para(E,F,B,C)
| ~ midp(E,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f203,plain,
! [A,C,F] :
( midp(F,A,C)
| ~ coll(F,A,C)
| ! [B,E] :
( ~ para(E,F,B,C)
| ~ midp(E,A,B) ) ),
inference(miniscoping,[status(thm)],[f202]) ).
fof(f204,plain,
! [X0,X1,X2,X3,X4] :
( midp(X3,X1,X4)
| ~ coll(X3,X1,X4)
| ~ para(X0,X3,X2,X4)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f203]) ).
fof(f228,plain,
! [A,B,M,O] :
( cong(O,A,O,B)
| ~ perp(O,M,A,B)
| ~ midp(M,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f56]) ).
fof(f229,plain,
! [A,B,O] :
( cong(O,A,O,B)
| ! [M] :
( ~ perp(O,M,A,B)
| ~ midp(M,A,B) ) ),
inference(miniscoping,[status(thm)],[f228]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( cong(X3,X1,X3,X2)
| ~ perp(X3,X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f229]) ).
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(f233,plain,
! [A,B,P,Q] :
( perp(P,A,A,Q)
| ~ cyclic(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ),
inference(pre_NNF_transformation,[status(thm)],[f58]) ).
fof(f234,plain,
! [A,P,Q] :
( perp(P,A,A,Q)
| ! [B] :
( ~ cyclic(A,B,P,Q)
| ~ cong(A,Q,B,Q)
| ~ cong(A,P,B,P) ) ),
inference(miniscoping,[status(thm)],[f233]) ).
fof(f235,plain,
! [X0,X1,X2,X3] :
( perp(X1,X0,X0,X3)
| ~ cyclic(X0,X2,X1,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
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(f257,plain,
! [A,B,C] :
( midp(A,B,C)
| ~ coll(A,B,C)
| ~ cong(A,B,A,C) ),
inference(pre_NNF_transformation,[status(thm)],[f68]) ).
fof(f258,plain,
! [X0,X1,X2] :
( midp(X0,X1,X2)
| ~ coll(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f261,plain,
! [A,B,C] :
( coll(A,B,C)
| ~ midp(A,B,C) ),
inference(pre_NNF_transformation,[status(thm)],[f70]) ).
fof(f262,plain,
! [X0,X1,X2] :
( coll(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f261]) ).
fof(f303,plain,
! [A,B,C,D,M,N] :
? [P] :
( ( para(P,N,A,C)
& para(P,M,B,D)
& midp(P,A,D) )
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(pre_NNF_transformation,[status(thm)],[f82]) ).
fof(f304,plain,
! [A,B,C,D,M,N] :
( ? [P] :
( para(P,N,A,C)
& para(P,M,B,D)
& midp(P,A,D) )
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(miniscoping,[status(thm)],[f303]) ).
fof(f305,plain,
! [A,B,C,D,M,N] :
( ( para(sK5_skl(N,M,D,C,B,A),N,A,C)
& para(sK5_skl(N,M,D,C,B,A),M,B,D)
& midp(sK5_skl(N,M,D,C,B,A),A,D) )
| ~ midp(N,C,D)
| ~ midp(M,A,B) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(P,sK5_skl(N,M,D,C,B,A))],[f304]) ).
fof(f307,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(sK5_skl(X3,X0,X5,X4,X2,X1),X0,X2,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f305]) ).
fof(f369,plain,
? [A,B,C,A1,B1,C1,O] :
( ~ perp(O,A1,B1,C1)
& circle(O,A,B,C)
& midp(C1,B,A)
& midp(B1,C,A)
& midp(A1,C,B) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f370,plain,
? [A1,B1,C1,O] :
( ~ perp(O,A1,B1,C1)
& ? [A,B,C] :
( circle(O,A,B,C)
& midp(C1,B,A)
& midp(B1,C,A)
& midp(A1,C,B) ) ),
inference(miniscoping,[status(thm)],[f369]) ).
fof(f371,plain,
( ~ perp(sK23_skl,sK20_skl,sK21_skl,sK22_skl)
& circle(sK23_skl,sK24_skl,sK25_skl,sK26_skl)
& midp(sK22_skl,sK25_skl,sK24_skl)
& midp(sK21_skl,sK26_skl,sK24_skl)
& midp(sK20_skl,sK26_skl,sK25_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20_skl,sK21_skl,sK22_skl,sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(A1,sK20_skl),skolemize(B1,sK21_skl),skolemize(C1,sK22_skl),skolemize(O,sK23_skl),skolemize(A,sK24_skl),skolemize(B,sK25_skl),skolemize(C,sK26_skl)],[f370]) ).
fof(f372,plain,
midp(sK20_skl,sK26_skl,sK25_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f373,plain,
midp(sK21_skl,sK26_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f374,plain,
midp(sK22_skl,sK25_skl,sK24_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f376,plain,
~ perp(sK23_skl,sK20_skl,sK21_skl,sK22_skl),
inference(cnf_transformation,[status(thm)],[f371]) ).
fof(f377,plain,
midp(sK22_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f122,f374]) ).
fof(f378,plain,
midp(sK21_skl,sK24_skl,sK26_skl),
inference(resolution,[status(thm)],[f122,f373]) ).
fof(f379,plain,
midp(sK20_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f122,f372]) ).
fof(f383,plain,
coll(sK22_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f262,f377]) ).
fof(f385,plain,
coll(sK21_skl,sK24_skl,sK26_skl),
inference(resolution,[status(thm)],[f262,f378]) ).
fof(f386,plain,
coll(sK21_skl,sK26_skl,sK24_skl),
inference(resolution,[status(thm)],[f262,f373]) ).
fof(f387,plain,
coll(sK20_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f262,f379]) ).
fof(f389,plain,
coll(sK24_skl,sK22_skl,sK25_skl),
inference(resolution,[status(thm)],[f383,f100]) ).
fof(f395,plain,
! [X0] :
( coll(X0,sK26_skl,sK21_skl)
| ~ coll(sK21_skl,sK24_skl,X0) ),
inference(resolution,[status(thm)],[f103,f385]) ).
fof(f399,plain,
coll(sK26_skl,sK21_skl,sK24_skl),
inference(resolution,[status(thm)],[f386,f100]) ).
fof(f402,plain,
coll(sK25_skl,sK20_skl,sK26_skl),
inference(resolution,[status(thm)],[f387,f100]) ).
fof(f407,plain,
! [X0] :
( coll(X0,sK25_skl,sK24_skl)
| ~ coll(sK24_skl,sK22_skl,X0) ),
inference(resolution,[status(thm)],[f389,f103]) ).
fof(f416,plain,
! [X0] :
( coll(X0,sK24_skl,sK26_skl)
| ~ coll(sK26_skl,sK21_skl,X0) ),
inference(resolution,[status(thm)],[f399,f103]) ).
fof(f419,plain,
! [X0] :
( coll(X0,sK26_skl,sK25_skl)
| ~ coll(sK25_skl,sK20_skl,X0) ),
inference(resolution,[status(thm)],[f402,f103]) ).
fof(f450,plain,
coll(sK26_skl,sK26_skl,sK21_skl),
inference(resolution,[status(thm)],[f395,f385]) ).
fof(f451,plain,
! [X0] :
( coll(X0,sK21_skl,sK26_skl)
| ~ coll(sK26_skl,sK26_skl,X0) ),
inference(resolution,[status(thm)],[f450,f103]) ).
fof(f604,plain,
coll(sK25_skl,sK25_skl,sK24_skl),
inference(resolution,[status(thm)],[f407,f389]) ).
fof(f610,plain,
coll(sK25_skl,sK24_skl,sK25_skl),
inference(resolution,[status(thm)],[f604,f98]) ).
fof(f728,plain,
coll(sK26_skl,sK26_skl,sK25_skl),
inference(resolution,[status(thm)],[f419,f402]) ).
fof(f882,plain,
coll(sK25_skl,sK21_skl,sK26_skl),
inference(resolution,[status(thm)],[f451,f728]) ).
fof(f887,plain,
coll(sK21_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f882,f100]) ).
fof(f894,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(f896,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(f917,plain,
coll(sK21_skl,sK26_skl,sK25_skl),
inference(resolution,[status(thm)],[f887,f98]) ).
fof(f936,plain,
coll(sK26_skl,sK21_skl,sK25_skl),
inference(resolution,[status(thm)],[f917,f100]) ).
fof(f1015,plain,
coll(sK25_skl,sK24_skl,sK26_skl),
inference(resolution,[status(thm)],[f936,f416]) ).
fof(f1144,plain,
coll(sK24_skl,sK25_skl,sK26_skl),
inference(resolution,[status(thm)],[f1015,f100]) ).
fof(f1825,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X6,X7,X2,X5)
| ~ para(X6,X7,sK5_skl(X3,X0,X5,X4,X2,X1),X0)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f307,f110]) ).
fof(f1826,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X2,X5,sK5_skl(X3,X0,X5,X4,X2,X1),X0)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f307,f107]) ).
fof(f3008,definition,
! [X4,X5] :
( sQ182_spl
<=> ~ para(X4,X5,X4,X5) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f3009,plain,
! [X0,X1] :
( ~ sQ182_spl
| ~ para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f3008]) ).
fof(f3061,plain,
! [X0,X1,X2,X3] :
( para(X2,X3,X2,X3)
| ~ para(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f896,f186]) ).
fof(f3070,definition,
! [X2,X3] :
( sQ183_spl
<=> para(X2,X3,X2,X3) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f3071,plain,
! [X0,X1] :
( ~ sQ183_spl
| para(X0,X1,X0,X1) ),
inference(component_clause,[status(thm)],[f3070]) ).
fof(f3073,plain,
( sQ183_spl
| sQ182_spl ),
inference(split_clause,[status(thm)],[f3061,f3008,f3070]) ).
fof(f3317,plain,
! [X0,X1] :
( ~ sQ183_spl
| coll(X0,X1,X1) ),
inference(resolution,[status(thm)],[f3071,f256]) ).
fof(f3320,plain,
! [X0,X1] :
( ~ sQ183_spl
| para(X0,X1,X1,X0) ),
inference(resolution,[status(thm)],[f3071,f105]) ).
fof(f3348,plain,
! [X0,X1] :
( ~ sQ183_spl
| coll(X0,X1,X0) ),
inference(resolution,[status(thm)],[f3317,f100]) ).
fof(f3378,plain,
! [X0,X1] :
( ~ sQ183_spl
| coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f3348,f98]) ).
fof(f3570,plain,
coll(sK24_skl,sK25_skl,sK25_skl),
inference(resolution,[status(thm)],[f610,f100]) ).
fof(f3838,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| coll(X1,X2,X0)
| ~ coll(X0,X0,X1) ),
inference(resolution,[status(thm)],[f3378,f103]) ).
fof(f3841,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| coll(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3838,f3378]) ).
fof(f3849,plain,
! [X0,X1,X2,X3,X4] :
( ~ sQ183_spl
| midp(X3,X1,X4)
| ~ para(X0,X3,X2,X4)
| ~ midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f204,f3841]) ).
fof(f3850,plain,
! [X0,X1,X2,X3] :
( ~ sQ183_spl
| cyclic(X1,X2,X0,X3)
| ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f195,f3841]) ).
fof(f3851,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| midp(X0,X1,X2)
| ~ cong(X0,X1,X0,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f258,f3841]) ).
fof(f3870,definition,
! [X3,X4,X5] :
( sQ241_spl
<=> ~ midp(X3,X4,X5) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f3871,plain,
! [X0,X1,X2] :
( ~ sQ241_spl
| ~ midp(X0,X1,X2) ),
inference(component_clause,[status(thm)],[f3870]) ).
fof(f3895,plain,
( ~ sQ241_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f377,f3871]) ).
fof(f3920,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| midp(X2,X1,X0)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f3849,f3320]) ).
fof(f3929,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| ~ para(X1,X0,X1,X0)
| cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f3850,f894]) ).
fof(f3943,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| cyclic(X0,X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f3929,f3071]) ).
fof(f3999,plain,
! [X0,X1,X2,X3] :
( ~ sQ183_spl
| cyclic(X0,X1,X2,X3)
| ~ cyclic(X0,X0,X1,X2) ),
inference(resolution,[status(thm)],[f3943,f136]) ).
fof(f4008,plain,
! [X0,X1,X2,X3] :
( ~ sQ183_spl
| cyclic(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f3999,f3943]) ).
fof(f4080,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ183_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,f4008]) ).
fof(f4081,plain,
! [X0,X1,X2,X3] :
( ~ sQ183_spl
| eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f191,f4008]) ).
fof(f4083,plain,
! [X0,X1,X2,X3] :
( ~ sQ183_spl
| perp(X1,X0,X0,X3)
| ~ cong(X0,X3,X2,X3)
| ~ cong(X0,X1,X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f235,f4008]) ).
fof(f4084,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ183_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)],[f4080,f4008]) ).
fof(f4192,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ183_spl
| cong(X1,X2,X4,X5)
| ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
inference(forward_subsumption_resolution,[status(thm)],[f4084,f4008]) ).
fof(f4203,plain,
! [X0,X1] :
( ~ sQ183_spl
| cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f4081,f4192]) ).
fof(f4232,plain,
! [X0,X1] :
( ~ sQ183_spl
| midp(X0,X1,X1) ),
inference(resolution,[status(thm)],[f4203,f3851]) ).
fof(f4278,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| perp(X1,X0,X0,X2)
| ~ cong(X0,X1,X0,X1) ),
inference(resolution,[status(thm)],[f4083,f4203]) ).
fof(f4280,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| perp(X0,X1,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f4278,f4203]) ).
fof(f4312,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| perp(X0,X1,X2,X1) ),
inference(resolution,[status(thm)],[f4280,f112]) ).
fof(f5076,plain,
! [X0,X1] :
( ~ sQ183_spl
| midp(X0,X0,X1) ),
inference(resolution,[status(thm)],[f3920,f4232]) ).
fof(f5099,plain,
! [X0,X1] :
( ~ sQ183_spl
| midp(X0,X1,X0) ),
inference(resolution,[status(thm)],[f5076,f122]) ).
fof(f6038,definition,
! [X0,X1,X2] :
( sQ275_spl
<=> ( ~ midp(X0,X1,X2)
| ~ midp(X0,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[sQ275_spl])],[split_symbol_definition]) ).
fof(f6039,plain,
! [X0,X1,X2] :
( ~ sQ275_spl
| ~ midp(X0,X1,X2)
| ~ midp(X0,X1,X2) ),
inference(component_clause,[status(thm)],[f6038]) ).
fof(f6046,plain,
! [X0,X1,X2] :
( ~ sQ275_spl
| ~ midp(X0,X1,X2) ),
inference(duplicate_literals_removal,[status(thm)],[f6039]) ).
fof(f6106,plain,
( ~ sQ275_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f379,f6046]) ).
fof(f6218,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| cong(X2,X1,X2,X0)
| ~ midp(X0,X1,X0) ),
inference(resolution,[status(thm)],[f230,f4312]) ).
fof(f6223,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| cong(X0,X1,X0,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f6218,f5099]) ).
fof(f6261,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| cong(X0,X1,X2,X0) ),
inference(resolution,[status(thm)],[f6223,f149]) ).
fof(f6293,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| cong(X0,X1,X1,X2) ),
inference(resolution,[status(thm)],[f6261,f151]) ).
fof(f6318,plain,
! [X0,X1,X2] :
( ~ sQ183_spl
| cong(X0,X1,X2,X1) ),
inference(resolution,[status(thm)],[f6293,f149]) ).
fof(f6319,plain,
! [X0,X1,X2,X3] :
( ~ sQ183_spl
| perp(X0,X2,X3,X1)
| ~ cong(X0,X1,X2,X1) ),
inference(backward_subsumption_resolution,[status(thm)],[f232,f6318]) ).
fof(f6323,plain,
! [X0,X1,X2,X3] :
( ~ sQ183_spl
| perp(X0,X1,X2,X3) ),
inference(forward_subsumption_resolution,[status(thm)],[f6319,f6318]) ).
fof(f6325,plain,
( ~ sQ183_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f376,f6323]) ).
fof(f6328,plain,
~ sQ183_spl,
inference(contradiction_clause,[status(thm)],[f6325]) ).
fof(f6329,plain,
~ sQ241_spl,
inference(contradiction_clause,[status(thm)],[f3895]) ).
fof(f8286,definition,
! [X0,X1] :
( sQ295_spl
<=> ~ midp(X0,sK26_skl,X1) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f8287,plain,
! [X0,X1] :
( ~ sQ295_spl
| ~ midp(X0,sK26_skl,X1) ),
inference(component_clause,[status(thm)],[f8286]) ).
fof(f8289,definition,
! [X2,X3] :
( sQ296_spl
<=> ~ midp(X2,X3,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f8290,plain,
! [X0,X1] :
( ~ sQ296_spl
| ~ midp(X0,X1,sK26_skl) ),
inference(component_clause,[status(thm)],[f8289]) ).
fof(f8294,definition,
! [X0,X1] :
( sQ297_spl
<=> ~ midp(X0,sK25_skl,X1) ),
introduced(definition,[new_symbols(definition,[sQ297_spl])],[split_symbol_definition]) ).
fof(f8295,plain,
! [X0,X1] :
( ~ sQ297_spl
| ~ midp(X0,sK25_skl,X1) ),
inference(component_clause,[status(thm)],[f8294]) ).
fof(f8297,definition,
! [X2,X3] :
( sQ298_spl
<=> ~ midp(X2,X3,sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ298_spl])],[split_symbol_definition]) ).
fof(f8298,plain,
! [X0,X1] :
( ~ sQ298_spl
| ~ midp(X0,X1,sK25_skl) ),
inference(component_clause,[status(thm)],[f8297]) ).
fof(f8305,plain,
( ~ sQ298_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f377,f8298]) ).
fof(f8315,plain,
( ~ sQ297_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f374,f8295]) ).
fof(f8324,plain,
~ sQ297_spl,
inference(contradiction_clause,[status(thm)],[f8315]) ).
fof(f8325,plain,
~ sQ298_spl,
inference(contradiction_clause,[status(thm)],[f8305]) ).
fof(f8327,plain,
( ~ sQ296_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f378,f8290]) ).
fof(f8333,plain,
~ sQ296_spl,
inference(contradiction_clause,[status(thm)],[f8327]) ).
fof(f8335,plain,
( ~ sQ295_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f373,f8287]) ).
fof(f8340,plain,
~ sQ295_spl,
inference(contradiction_clause,[status(thm)],[f8335]) ).
fof(f8453,definition,
( sQ302_spl
<=> coll(sK24_skl,sK25_skl,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ302_spl])],[split_symbol_definition]) ).
fof(f8455,plain,
( sQ302_spl
| ~ coll(sK24_skl,sK25_skl,sK26_skl) ),
inference(component_clause,[status(thm)],[f8453]) ).
fof(f8460,plain,
( sQ302_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8455,f1144]) ).
fof(f8461,plain,
sQ302_spl,
inference(contradiction_clause,[status(thm)],[f8460]) ).
fof(f8695,definition,
( sQ318_spl
<=> coll(sK24_skl,sK25_skl,sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ318_spl])],[split_symbol_definition]) ).
fof(f8697,plain,
( sQ318_spl
| ~ coll(sK24_skl,sK25_skl,sK25_skl) ),
inference(component_clause,[status(thm)],[f8695]) ).
fof(f8699,plain,
( sQ318_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f8697,f3570]) ).
fof(f8700,plain,
sQ318_spl,
inference(contradiction_clause,[status(thm)],[f8699]) ).
fof(f8723,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X2,X5,X2,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(resolution,[status(thm)],[f1826,f1825]) ).
fof(f8730,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X2,X5,X2,X5)
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(duplicate_literals_removal,[status(thm)],[f8723]) ).
fof(f8731,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ sQ182_spl
| ~ midp(X3,X4,X5)
| ~ midp(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[f8730,f3009]) ).
fof(f8816,plain,
~ sQ275_spl,
inference(contradiction_clause,[status(thm)],[f6106]) ).
fof(f8924,plain,
! [X0,X1,X2] :
( ~ sQ182_spl
| ~ midp(X0,X1,X2) ),
inference(backward_subsumption_resolution,[status(thm)],[f122,f8731]) ).
fof(f8935,plain,
( ~ sQ182_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f8924,f3870,f3008]) ).
fof(f8944,plain,
$false,
inference(sat_refutation,[status(thm)],[f3073,f6328,f6329,f8324,f8325,f8333,f8340,f8461,f8700,f8816,f8935]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO542+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n004.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 20 17:20:34 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 14.22/2.26 % Refutation found
% 14.22/2.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.22/2.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.17/2.30 % Elapsed time: 1.915124 seconds
% 3.17/2.30 % CPU time: 14.764825 seconds
% 3.17/2.30 % Total memory used: 209.705 MB
% 3.17/2.30 % Net memory used: 194.955 MB
%------------------------------------------------------------------------------