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Prover9---2026-6A.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : GEO549+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n002.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 : Sun Sep 27 07:18:05 AM UTC 2026

% Result   : Theorem 152.76s 19.99s
% Output   : CNFRefutation 152.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   88 (  33 unt;   0 def)
%            Number of atoms       :  224 (   0 equ)
%            Maximal formula atoms :   17 (   2 avg)
%            Number of connectives :  184 (  48   ~;  44   |;  71   &)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   16 (  16 usr;  16 con; 0-0 aty)
%            Number of variables   :  346 (  53 sgn 132   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ruleD3,axiom,
    ! [A,B,C,D] :
      ( ( coll(A,B,D)
        & coll(A,B,C) )
     => coll(C,D,A) ),
    file('theBenchmark.p',ruleD3) ).

fof(ruleD4,axiom,
    ! [A,B,C,D] :
      ( para(A,B,C,D)
     => para(A,B,D,C) ),
    file('theBenchmark.p',ruleD4) ).

fof(ruleD5,axiom,
    ! [A,B,C,D] :
      ( para(A,B,C,D)
     => para(C,D,A,B) ),
    file('theBenchmark.p',ruleD5) ).

fof(ruleD7,axiom,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
     => perp(A,B,D,C) ),
    file('theBenchmark.p',ruleD7) ).

fof(ruleD8,axiom,
    ! [A,B,C,D] :
      ( perp(A,B,C,D)
     => perp(C,D,A,B) ),
    file('theBenchmark.p',ruleD8) ).

fof(ruleD9,axiom,
    ! [A,B,C,D,E,F] :
      ( ( perp(C,D,E,F)
        & perp(A,B,C,D) )
     => para(A,B,E,F) ),
    file('theBenchmark.p',ruleD9) ).

fof(ruleD14,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,B,D,C) ),
    file('theBenchmark.p',ruleD14) ).

fof(ruleD15,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(A,C,B,D) ),
    file('theBenchmark.p',ruleD15) ).

fof(ruleD16,axiom,
    ! [A,B,C,D] :
      ( cyclic(A,B,C,D)
     => cyclic(B,A,C,D) ),
    file('theBenchmark.p',ruleD16) ).

fof(ruleD17,axiom,
    ! [A,B,C,D,E] :
      ( ( cyclic(A,B,C,E)
        & cyclic(A,B,C,D) )
     => cyclic(B,C,D,E) ),
    file('theBenchmark.p',ruleD17) ).

fof(ruleD19,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('theBenchmark.p',ruleD19) ).

fof(ruleD21,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('theBenchmark.p',ruleD21) ).

fof(ruleD22,axiom,
    ! [A,B,C,D,P,Q,U,V,E,F,G,H] :
      ( ( eqangle(P,Q,U,V,E,F,G,H)
        & eqangle(A,B,C,D,P,Q,U,V) )
     => eqangle(A,B,C,D,E,F,G,H) ),
    file('theBenchmark.p',ruleD22) ).

fof(ruleD39,axiom,
    ! [A,B,C,D,P,Q] :
      ( eqangle(A,B,P,Q,C,D,P,Q)
     => para(A,B,C,D) ),
    file('theBenchmark.p',ruleD39) ).

fof(ruleD40,axiom,
    ! [A,B,C,D,P,Q] :
      ( para(A,B,C,D)
     => eqangle(A,B,P,Q,C,D,P,Q) ),
    file('theBenchmark.p',ruleD40) ).

fof(ruleD42b,axiom,
    ! [A,B,P,Q] :
      ( ( coll(P,Q,B)
        & eqangle(P,A,P,B,Q,A,Q,B) )
     => cyclic(A,B,P,Q) ),
    file('theBenchmark.p',ruleD42b) ).

fof(ruleD43,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('theBenchmark.p',ruleD43) ).

fof(ruleD56,axiom,
    ! [A,B,P,Q] :
      ( ( cong(A,Q,B,Q)
        & cong(A,P,B,P) )
     => perp(A,B,P,Q) ),
    file('theBenchmark.p',ruleD56) ).

fof(ruleD66,axiom,
    ! [A,B,C] :
      ( para(A,B,A,C)
     => coll(A,B,C) ),
    file('theBenchmark.p',ruleD66) ).

fof(exemplo6GDDFULL012009,conjecture,
    ! [A,B,D,O,C,P,F,P1,F2,F3,F1,L,M,NWPNT1,NWPNT2,NWPNT3] :
      ( ( coll(M,A,B)
        & perp(M,P1,A,B)
        & coll(L,A,B)
        & perp(L,P,A,B)
        & coll(F1,A,D)
        & perp(F1,P,A,D)
        & coll(F3,A,D)
        & perp(F3,P1,A,D)
        & coll(F2,A,C)
        & perp(F2,P1,A,C)
        & circle(O,A,P1,NWPNT3)
        & coll(F,A,C)
        & perp(F,P,A,C)
        & circle(O,A,P,NWPNT2)
        & circle(O,A,C,NWPNT1)
        & circle(O,A,B,D) )
     => eqangle(F,L,L,F1,F2,M,M,F3) ),
    file('theBenchmark.p',exemplo6GDDFULL012009) ).

fof(exemplo6GDDFULL012009_neg,negated_conjecture,
    ~ ! [A,B,D,O,C,P,F,P1,F2,F3,F1,L,M,NWPNT1,NWPNT2,NWPNT3] :
        ( ( coll(M,A,B)
          & perp(M,P1,A,B)
          & coll(L,A,B)
          & perp(L,P,A,B)
          & coll(F1,A,D)
          & perp(F1,P,A,D)
          & coll(F3,A,D)
          & perp(F3,P1,A,D)
          & coll(F2,A,C)
          & perp(F2,P1,A,C)
          & circle(O,A,P1,NWPNT3)
          & coll(F,A,C)
          & perp(F,P,A,C)
          & circle(O,A,P,NWPNT2)
          & circle(O,A,C,NWPNT1)
          & circle(O,A,B,D) )
       => eqangle(F,L,L,F1,F2,M,M,F3) ),
    inference(assume_negation,[status(cth)],[exemplo6GDDFULL012009]) ).

fof(nnf_95,plain,
    ? [A,B,D,O,C,P,F,P1,F2,F3,F1,L,M,NWPNT1,NWPNT2,NWPNT3] :
      ( ~ eqangle(F,L,L,F1,F2,M,M,F3)
      & coll(M,A,B)
      & perp(M,P1,A,B)
      & coll(L,A,B)
      & perp(L,P,A,B)
      & coll(F1,A,D)
      & perp(F1,P,A,D)
      & coll(F3,A,D)
      & perp(F3,P1,A,D)
      & coll(F2,A,C)
      & perp(F2,P1,A,C)
      & circle(O,A,P1,NWPNT3)
      & coll(F,A,C)
      & perp(F,P,A,C)
      & circle(O,A,P,NWPNT2)
      & circle(O,A,C,NWPNT1)
      & circle(O,A,B,D) ),
    inference(fof_nnf,[status(thm)],[exemplo6GDDFULL012009_neg]) ).

fof(sk_exemplo6GDDFULL012009_neg,plain,
    ( ~ eqangle(sK0,sK1,sK1,sK2,sK3,sK4,sK4,sK5)
    & coll(sK4,sK7,sK10)
    & perp(sK4,sK14,sK7,sK10)
    & coll(sK1,sK7,sK10)
    & perp(sK1,sK6,sK7,sK10)
    & coll(sK2,sK7,sK11)
    & perp(sK2,sK6,sK7,sK11)
    & coll(sK5,sK7,sK11)
    & perp(sK5,sK14,sK7,sK11)
    & coll(sK3,sK7,sK8)
    & perp(sK3,sK14,sK7,sK8)
    & circle(sK9,sK7,sK14,sK15)
    & coll(sK0,sK7,sK8)
    & perp(sK0,sK6,sK7,sK8)
    & circle(sK9,sK7,sK6,sK13)
    & circle(sK9,sK7,sK8,sK12)
    & circle(sK9,sK7,sK10,sK11) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK7,sK10,sK11,sK8,sK12,sK6,sK13,sK0,sK14,sK15,sK3,sK5,sK2,sK1,sK4]),skolemize(A,sK7),skolemize(B,sK10),skolemize(D,sK11),skolemize(O,sK9),skolemize(C,sK8),skolemize(P,sK6),skolemize(F,sK0),skolemize(P1,sK14),skolemize(F2,sK3),skolemize(F3,sK5),skolemize(F1,sK2),skolemize(L,sK1),skolemize(M,sK4),skolemize(NWPNT1,sK12),skolemize(NWPNT2,sK13),skolemize(NWPNT3,sK15)],[nnf_95]) ).

cnf(c_207,negated_conjecture,
    ~ eqangle(sK0,sK1,sK1,sK2,sK3,sK4,sK4,sK5),
    inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012009_neg]) ).

cnf(c_219,negated_conjecture,
    perp(sK0,sK6,sK7,sK8),
    inference(split_conjunct,[status(thm)],[sk_exemplo6GDDFULL012009_neg]) ).

cnf(c_258,plain,
    ( coll(A,B,C)
    | ~ para(A,B,A,C) ),
    inference(clausify,[status(thm)],[ruleD66]) ).

cnf(c_268,plain,
    ( perp(A,C,B,D)
    | ~ cong(A,D,C,D)
    | ~ cong(A,B,C,B) ),
    inference(clausify,[status(thm)],[ruleD56]) ).

cnf(c_276,plain,
    ( cong(A,B,D,E)
    | ~ eqangle(C,A,C,B,F,D,F,E)
    | ~ cyclic(A,B,C,F)
    | ~ cyclic(A,B,C,E)
    | ~ cyclic(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD43]) ).

cnf(c_277,plain,
    ( cyclic(B,C,A,D)
    | ~ coll(A,D,C)
    | ~ eqangle(A,B,A,C,D,B,D,C) ),
    inference(clausify,[status(thm)],[ruleD42b]) ).

cnf(c_280,plain,
    ( eqangle(A,B,E,F,C,D,E,F)
    | ~ para(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD40]) ).

cnf(c_281,plain,
    ( para(A,B,E,F)
    | ~ eqangle(A,B,C,D,E,F,C,D) ),
    inference(clausify,[status(thm)],[ruleD39]) ).

cnf(c_298,plain,
    ( eqangle(A,B,C,D,V8,V9,V10,V11)
    | ~ eqangle(E,F,V6,V7,V8,V9,V10,V11)
    | ~ eqangle(A,B,C,D,E,F,V6,V7) ),
    inference(clausify,[status(thm)],[ruleD22]) ).

cnf(c_299,plain,
    ( eqangle(A,B,E,F,C,D,V6,V7)
    | ~ eqangle(A,B,C,D,E,F,V6,V7) ),
    inference(clausify,[status(thm)],[ruleD21]) ).

cnf(c_301,plain,
    ( eqangle(C,D,A,B,V6,V7,E,F)
    | ~ eqangle(A,B,C,D,E,F,V6,V7) ),
    inference(clausify,[status(thm)],[ruleD19]) ).

cnf(c_303,plain,
    ( cyclic(B,C,D,E)
    | ~ cyclic(A,B,C,E)
    | ~ cyclic(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD17]) ).

cnf(c_304,plain,
    ( cyclic(B,A,C,D)
    | ~ cyclic(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD16]) ).

cnf(c_305,plain,
    ( cyclic(A,C,B,D)
    | ~ cyclic(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD15]) ).

cnf(c_306,plain,
    ( cyclic(A,B,D,C)
    | ~ cyclic(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD14]) ).

cnf(c_310,plain,
    ( para(A,B,E,F)
    | ~ perp(C,D,E,F)
    | ~ perp(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD9]) ).

cnf(c_311,plain,
    ( perp(C,D,A,B)
    | ~ perp(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD8]) ).

cnf(c_312,plain,
    ( perp(A,B,D,C)
    | ~ perp(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD7]) ).

cnf(c_314,plain,
    ( para(C,D,A,B)
    | ~ para(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD5]) ).

cnf(c_315,plain,
    ( para(A,B,D,C)
    | ~ para(A,B,C,D) ),
    inference(clausify,[status(thm)],[ruleD4]) ).

cnf(c_316,plain,
    ( coll(C,D,A)
    | ~ coll(A,B,D)
    | ~ coll(A,B,C) ),
    inference(clausify,[status(thm)],[ruleD3]) ).

cnf(c_367,plain,
    ( cyclic(B,C,D,D)
    | ~ cyclic(A,B,C,D) ),
    inference(factor,[status(thm)],[c_303]) ).

cnf(c_372,plain,
    ( coll(C,C,A)
    | ~ coll(A,B,C) ),
    inference(factor,[status(thm)],[c_316]) ).

cnf(c_532,plain,
    ( para(sK0,sK6,A,B)
    | ~ perp(sK7,sK8,A,B) ),
    inference(resolve,[status(thm)],[c_310,c_219]) ).

cnf(c_552,plain,
    perp(sK7,sK8,sK0,sK6),
    inference(resolve,[status(thm)],[c_311,c_219]) ).

cnf(c_964,plain,
    perp(sK7,sK8,sK6,sK0),
    inference(resolve,[status(thm)],[c_552,c_312]) ).

cnf(c_4133,plain,
    para(sK0,sK6,sK6,sK0),
    inference(resolve,[status(thm)],[c_532,c_964]) ).

cnf(c_4135,plain,
    para(sK0,sK6,sK0,sK6),
    inference(resolve,[status(thm)],[c_532,c_552]) ).

cnf(c_4157,plain,
    para(sK6,sK0,sK0,sK6),
    inference(resolve,[status(thm)],[c_4133,c_314]) ).

cnf(c_4189,plain,
    eqangle(sK0,sK6,A,B,sK0,sK6,A,B),
    inference(resolve,[status(thm)],[c_4135,c_280]) ).

cnf(c_5215,plain,
    para(sK6,sK0,sK6,sK0),
    inference(resolve,[status(thm)],[c_4157,c_315]) ).

cnf(c_5264,plain,
    eqangle(sK6,sK0,A,B,sK6,sK0,A,B),
    inference(resolve,[status(thm)],[c_5215,c_280]) ).

cnf(c_5340,plain,
    eqangle(A,B,sK0,sK6,A,B,sK0,sK6),
    inference(resolve,[status(thm)],[c_4189,c_301]) ).

cnf(c_5342,plain,
    ( cyclic(sK6,A,sK0,sK0)
    | ~ coll(sK0,sK0,A) ),
    inference(resolve,[status(thm)],[c_4189,c_277]) ).

cnf(c_5343,plain,
    ( cong(sK6,A,sK6,A)
    | ~ cyclic(sK6,A,sK0,sK0)
    | ~ cyclic(sK6,A,sK0,A)
    | ~ cyclic(sK6,A,sK0,sK6) ),
    inference(resolve,[status(thm)],[c_4189,c_276]) ).

cnf(c_5375,plain,
    ( cyclic(sK0,A,sK6,sK6)
    | ~ coll(sK6,sK6,A) ),
    inference(resolve,[status(thm)],[c_5264,c_277]) ).

cnf(c_5422,plain,
    para(A,B,A,B),
    inference(resolve,[status(thm)],[c_5340,c_281]) ).

cnf(c_5447,plain,
    coll(A,B,B),
    inference(resolve,[status(thm)],[c_5422,c_258]) ).

cnf(c_5467,plain,
    coll(A,A,B),
    inference(resolve,[status(thm)],[c_5447,c_372]) ).

cnf(c_5475,plain,
    cyclic(sK0,A,sK6,sK6),
    inference(resolve,[status(thm)],[c_5467,c_5375]) ).

cnf(c_5476,plain,
    cyclic(sK6,A,sK0,sK0),
    inference(resolve,[status(thm)],[c_5467,c_5342]) ).

cnf(c_5707,plain,
    ( cong(sK6,A,sK6,A)
    | ~ cyclic(sK6,A,sK0,A)
    | ~ cyclic(sK6,A,sK0,sK6) ),
    inference(resolve,[status(thm)],[c_5476,c_5343]) ).

cnf(c_5812,plain,
    cyclic(sK0,sK6,A,sK6),
    inference(resolve,[status(thm)],[c_5475,c_305]) ).

cnf(c_5990,plain,
    cyclic(sK0,sK6,sK6,A),
    inference(resolve,[status(thm)],[c_5812,c_306]) ).

cnf(c_5991,plain,
    cyclic(sK6,sK0,A,sK6),
    inference(resolve,[status(thm)],[c_5812,c_304]) ).

cnf(c_6281,plain,
    cyclic(sK6,sK6,A,A),
    inference(resolve,[status(thm)],[c_5990,c_367]) ).

cnf(c_9377,plain,
    ( cyclic(sK6,sK6,A,B)
    | ~ cyclic(sK0,sK6,sK6,A) ),
    inference(resolve,[status(thm)],[c_5990,c_303]) ).

cnf(c_6283,plain,
    cyclic(sK6,sK6,A,B),
    inference(resolve,[status(thm)],[c_5990,c_9377]) ).

cnf(c_6297,plain,
    cyclic(sK6,A,sK0,sK6),
    inference(resolve,[status(thm)],[c_5991,c_305]) ).

cnf(c_6313,plain,
    ( cong(sK6,A,sK6,A)
    | ~ cyclic(sK6,A,sK0,A) ),
    inference(resolve,[status(thm)],[c_6297,c_5707]) ).

cnf(c_9378,plain,
    ( cyclic(sK6,A,B,A)
    | ~ cyclic(sK6,sK6,A,B) ),
    inference(resolve,[status(thm)],[c_6281,c_303]) ).

cnf(c_6524,plain,
    cyclic(sK6,A,B,A),
    inference(resolve,[status(thm)],[c_6283,c_9378]) ).

cnf(c_6537,plain,
    cong(sK6,A,sK6,A),
    inference(resolve,[status(thm)],[c_6524,c_6313]) ).

cnf(c_9379,plain,
    ( perp(sK6,sK6,A,B)
    | ~ cong(sK6,A,sK6,A) ),
    inference(resolve,[status(thm)],[c_6537,c_268]) ).

cnf(c_7020,plain,
    perp(sK6,sK6,A,B),
    inference(resolve,[status(thm)],[c_6537,c_9379]) ).

cnf(c_7504,plain,
    perp(A,B,sK6,sK6),
    inference(resolve,[status(thm)],[c_7020,c_311]) ).

cnf(c_9380,plain,
    ( para(A,B,C,D)
    | ~ perp(A,B,sK6,sK6) ),
    inference(resolve,[status(thm)],[c_7020,c_310]) ).

cnf(c_7505,plain,
    para(A,B,C,D),
    inference(resolve,[status(thm)],[c_7504,c_9380]) ).

cnf(c_7539,plain,
    eqangle(A,B,C,D,E,F,C,D),
    inference(resolve,[status(thm)],[c_7505,c_280]) ).

cnf(c_8769,plain,
    eqangle(A,B,C,D,A,B,E,F),
    inference(resolve,[status(thm)],[c_7539,c_301]) ).

cnf(c_8770,plain,
    eqangle(A,B,C,D,E,F,E,F),
    inference(resolve,[status(thm)],[c_7539,c_299]) ).

cnf(c_9322,plain,
    eqangle(A,B,A,B,C,D,E,F),
    inference(resolve,[status(thm)],[c_8769,c_299]) ).

cnf(c_9381,plain,
    ( eqangle(V6,V7,V8,V9,C,D,E,F)
    | ~ eqangle(A,B,A,B,C,D,E,F) ),
    inference(resolve,[status(thm)],[c_8770,c_298]) ).

cnf(c_9375,plain,
    eqangle(A,B,C,D,E,F,V6,V7),
    inference(resolve,[status(thm)],[c_9322,c_9381]) ).

cnf(c_9376,plain,
    $false,
    inference(resolve,[status(thm)],[c_9375,c_207]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GEO549+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41  % Computer : n002.cluster.edu
% 0.16/0.41  % Model    : x86_64 x86_64
% 0.16/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41  % Memory   : 8046.5625MB
% 0.16/0.41  % OS       : Linux 6.8.0-71-generic
% 0.16/0.41  % CPULimit : 300
% 0.16/0.41  % WCLimit  : 300
% 0.16/0.41  % DateTime : Fri Sep 25 13:43:50 UTC 2026
% 0.16/0.41  % CPUTime  : 
% 0.16/0.42  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.42  % Process 3404099 was started by sandbox2 on n002,
% 0.16/0.42  % Fri Sep 25 13:43:50 2026
% 0.16/0.42  % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/0.45  
% 0.16/0.45  % From the command line: assign(max_seconds, 300).
% 152.76/19.99  
% 152.76/19.99  % given #500 (T,wt=9): 1649 coll(c13,c2,c12).  [resolve(1648,a,318,a)].
% 152.76/19.99  
% 152.76/19.99  % given #1000 (W,wt=9): 3011 coll(c2,c3,c2).  [resolve(2946,a,318,a)].
% 152.76/19.99  
% 152.76/19.99  % given #1500 (T,wt=13): 1730 -coll(c10,c7,A) | coll(A,c1,c10).  [resolve(1707,a,316,b)].
% 152.76/19.99  
% 152.76/19.99  % given #2000 (T,wt=13): 2352 -coll(c12,c9,A) | coll(A,c5,c12).  [resolve(2203,a,316,b)].
% 152.76/19.99  
% 152.76/19.99  % given #2500 (W,wt=13): 2995 -coll(c3,c1,A) | coll(A,c2,c3).  [resolve(2936,a,316,b)].
% 152.76/19.99  
% 152.76/19.99  % given #3000 (T,wt=13): 3728 -coll(c3,c13,A) | coll(A,c7,c3).  [resolve(3716,a,316,b)].
% 152.76/19.99  
% 152.76/19.99  % given #3500 (T,wt=9): 4450 coll(c2,c6,c9).  [resolve(4272,a,3429,a)].
% 152.76/19.99  
% 152.76/19.99  % given #4000 (W,wt=13): 4830 -coll(c13,c6,A) | coll(A,c2,c13).  [resolve(4439,a,316,b)].
% 152.76/19.99  
% 152.76/19.99  % given #4500 (T,wt=9): 5626 coll(A,c12,c13).  [back_unit_del(1681),unit_del(a,5467)].
% 152.76/19.99  
% 152.76/19.99  % given #5000 (T,wt=14): 5913 eqangle(c6,A,c6,c7,c7,A,c7,c7).  [resolve(5792,a,279,a)].
% 152.76/19.99  
% 152.76/19.99  % SZS status Theorem for theBenchmark
% 152.76/19.99  
% 152.76/19.99  % Proof 1 at 2.71 (+ 0.69) seconds.
% 152.76/19.99  % Length of proof is 80.
% 152.76/19.99  % Level of proof is 22.
% 152.76/19.99  % Maximum clause weight is 34.000.
% 152.76/19.99  % Given clauses 5291.
% 152.76/19.99  
% 152.76/19.99  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------