%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : RNG105+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 08:55:11 AM UTC 2026
% Result : Theorem 121.64s 126.94s
% Output : Proof 121.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 80 ( 41 unt; 1 def)
% Number of atoms : 249 ( 77 equ)
% Maximal formula atoms : 17 ( 3 avg)
% Number of connectives : 275 ( 106 ~; 101 |; 63 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-3 aty)
% Number of variables : 90 ( 0 sgn 60 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(mSortsB,axiom,
! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> aElement0(sdtpldt0(W0,W1)) ),
file('theBenchmark.p',mSortsB) ).
fof(mSortsB_02,axiom,
! [W0,W1] :
( ( aElement0(W1)
& aElement0(W0) )
=> aElement0(sdtasdt0(W0,W1)) ),
file('theBenchmark.p',mSortsB_02) ).
fof(mDefPrIdeal,definition,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( W1 = slsdtgt0(W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
<=> ? [W3] :
( sdtasdt0(W0,W3) = W2
& aElement0(W3) ) )
& aSet0(W1) ) ) ),
file('theBenchmark.p',mDefPrIdeal) ).
fof(m__1905,hypothesis,
aElement0(xc),
file('theBenchmark.p',m__1905) ).
fof(m__1933,hypothesis,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
file('theBenchmark.p',m__1933) ).
fof(m__1956,hypothesis,
( sdtasdt0(xc,xu) = xx
& aElement0(xu) ),
file('theBenchmark.p',m__1956) ).
fof(m__1979,hypothesis,
( sdtasdt0(xc,xv) = xy
& aElement0(xv) ),
file('theBenchmark.p',m__1979) ).
fof(m__2010,hypothesis,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
file('theBenchmark.p',m__2010) ).
fof(m__2043,hypothesis,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
file('theBenchmark.p',m__2043) ).
fof(m__,conjecture,
( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
file('theBenchmark.p',m__) ).
fof(f_5_1,plain,
! [W0,W1] :
( aElement0(sdtpldt0(W0,W1))
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(fof_nnf,[status(thm)],[mSortsB]) ).
fof(f_5_2,plain,
! [U_3,U_2] :
( aElement0(sdtpldt0(U_3,U_2))
| ~ aElement0(U_2)
| ~ aElement0(U_3) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
cnf(f_5_3,plain,
( aElement0(sdtpldt0(U_3,U_2))
| ~ aElement0(U_2)
| ~ aElement0(U_3) ),
inference(clausify,[status(thm)],[f_5_2]) ).
fof(f_6_1,plain,
! [W0,W1] :
( aElement0(sdtasdt0(W0,W1))
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(fof_nnf,[status(thm)],[mSortsB_02]) ).
fof(f_6_2,plain,
! [U_5,U_4] :
( aElement0(sdtasdt0(U_5,U_4))
| ~ aElement0(U_4)
| ~ aElement0(U_5) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
cnf(f_6_3,plain,
( aElement0(sdtasdt0(U_5,U_4))
| ~ aElement0(U_4)
| ~ aElement0(U_5) ),
inference(clausify,[status(thm)],[f_6_2]) ).
fof(f_37_1,plain,
! [W0] :
( ! [W1] :
( ( W1 = slsdtgt0(W0)
| ? [W2] :
( ( ~ aElementOf0(W2,W1)
& ? [W3] :
( sdtasdt0(W0,W3) = W2
& aElement0(W3) ) )
| ( ! [W3] :
( sdtasdt0(W0,W3) != W2
| ~ aElement0(W3) )
& aElementOf0(W2,W1) ) )
| ~ aSet0(W1) )
& ( ( ! [W2] :
( ( aElementOf0(W2,W1)
| ! [W3] :
( sdtasdt0(W0,W3) != W2
| ~ aElement0(W3) ) )
& ( ? [W3] :
( sdtasdt0(W0,W3) = W2
& aElement0(W3) )
| ~ aElementOf0(W2,W1) ) )
& aSet0(W1) )
| W1 != slsdtgt0(W0) ) )
| ~ aElement0(W0) ),
inference(fof_nnf,[status(thm)],[mDefPrIdeal]) ).
fof(f_37_2,plain,
! [U_117] :
( ! [U_116] :
( ( U_116 = slsdtgt0(U_117)
| ? [U_115] :
( ( ~ aElementOf0(U_115,U_116)
& ? [U_114] :
( sdtasdt0(U_117,U_114) = U_115
& aElement0(U_114) ) )
| ( ! [U_113] :
( sdtasdt0(U_117,U_113) != U_115
| ~ aElement0(U_113) )
& aElementOf0(U_115,U_116) ) )
| ~ aSet0(U_116) )
& ( ( ! [U_112] :
( ( aElementOf0(U_112,U_116)
| ! [U_111] :
( sdtasdt0(U_117,U_111) != U_112
| ~ aElement0(U_111) ) )
& ( ? [U_110] :
( sdtasdt0(U_117,U_110) = U_112
& aElement0(U_110) )
| ~ aElementOf0(U_112,U_116) ) )
& aSet0(U_116) )
| U_116 != slsdtgt0(U_117) ) )
| ~ aElement0(U_117) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
! [U_117] :
( ( ! [U_123] :
( U_123 = slsdtgt0(U_117)
| ? [U_121] :
( ~ aElementOf0(U_121,U_123)
& ? [U_114] :
( sdtasdt0(U_117,U_114) = U_121
& aElement0(U_114) ) )
| ? [U_120] :
( ! [U_113] :
( sdtasdt0(U_117,U_113) != U_120
| ~ aElement0(U_113) )
& aElementOf0(U_120,U_123) )
| ~ aSet0(U_123) )
& ! [U_122] :
( ( ! [U_119] :
( aElementOf0(U_119,U_122)
| ! [U_111] :
( sdtasdt0(U_117,U_111) != U_119
| ~ aElement0(U_111) ) )
& ! [U_118] :
( ? [U_110] :
( sdtasdt0(U_117,U_110) = U_118
& aElement0(U_110) )
| ~ aElementOf0(U_118,U_122) )
& aSet0(U_122) )
| U_122 != slsdtgt0(U_117) ) )
| ~ aElement0(U_117) ),
inference(miniscope,[status(thm)],[f_37_2]) ).
fof(f_37_4,plain,
! [U_117] :
( ( ! [U_123] :
( U_123 = slsdtgt0(U_117)
| ? [U_121] :
( ~ aElementOf0(U_121,U_123)
& ? [U_114] :
( sdtasdt0(U_117,U_114) = U_121
& aElement0(U_114) ) )
| ? [U_120] :
( ! [U_113] :
( sdtasdt0(U_117,U_113) != U_120
| ~ aElement0(U_113) )
& aElementOf0(U_120,U_123) )
| ~ aSet0(U_123) )
& ! [U_122] :
( ( ! [U_119] :
( aElementOf0(U_119,U_122)
| ! [U_111] :
( sdtasdt0(U_117,U_111) != U_119
| ~ aElement0(U_111) ) )
& ! [U_118] :
( ( sdtasdt0(U_117,sK20(U_117,U_122,U_118)) = U_118
& aElement0(sK20(U_117,U_122,U_118)) )
| ~ aElementOf0(U_118,U_122) )
& aSet0(U_122) )
| U_122 != slsdtgt0(U_117) ) )
| ~ aElement0(U_117) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_110,sK20(U_117,U_122,U_118))],[f_37_3]) ).
fof(f_37_5,plain,
! [U_117] :
( ( ! [U_123] :
( U_123 = slsdtgt0(U_117)
| ? [U_121] :
( ~ aElementOf0(U_121,U_123)
& ? [U_114] :
( sdtasdt0(U_117,U_114) = U_121
& aElement0(U_114) ) )
| ( ! [U_113] :
( sdtasdt0(U_117,U_113) != sK21(U_117,U_123)
| ~ aElement0(U_113) )
& aElementOf0(sK21(U_117,U_123),U_123) )
| ~ aSet0(U_123) )
& ! [U_122] :
( ( ! [U_119] :
( aElementOf0(U_119,U_122)
| ! [U_111] :
( sdtasdt0(U_117,U_111) != U_119
| ~ aElement0(U_111) ) )
& ! [U_118] :
( ( sdtasdt0(U_117,sK20(U_117,U_122,U_118)) = U_118
& aElement0(sK20(U_117,U_122,U_118)) )
| ~ aElementOf0(U_118,U_122) )
& aSet0(U_122) )
| U_122 != slsdtgt0(U_117) ) )
| ~ aElement0(U_117) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_120,sK21(U_117,U_123))],[f_37_4]) ).
fof(f_37_6,plain,
! [U_117] :
( ( ! [U_123] :
( U_123 = slsdtgt0(U_117)
| ( ~ aElementOf0(sK22(U_117,U_123),U_123)
& ? [U_114] :
( sdtasdt0(U_117,U_114) = sK22(U_117,U_123)
& aElement0(U_114) ) )
| ( ! [U_113] :
( sdtasdt0(U_117,U_113) != sK21(U_117,U_123)
| ~ aElement0(U_113) )
& aElementOf0(sK21(U_117,U_123),U_123) )
| ~ aSet0(U_123) )
& ! [U_122] :
( ( ! [U_119] :
( aElementOf0(U_119,U_122)
| ! [U_111] :
( sdtasdt0(U_117,U_111) != U_119
| ~ aElement0(U_111) ) )
& ! [U_118] :
( ( sdtasdt0(U_117,sK20(U_117,U_122,U_118)) = U_118
& aElement0(sK20(U_117,U_122,U_118)) )
| ~ aElementOf0(U_118,U_122) )
& aSet0(U_122) )
| U_122 != slsdtgt0(U_117) ) )
| ~ aElement0(U_117) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_121,sK22(U_117,U_123))],[f_37_5]) ).
fof(f_37_7,plain,
! [U_117] :
( ( ! [U_123] :
( U_123 = slsdtgt0(U_117)
| ( ~ aElementOf0(sK22(U_117,U_123),U_123)
& sdtasdt0(U_117,sK23(U_117,U_123)) = sK22(U_117,U_123)
& aElement0(sK23(U_117,U_123)) )
| ( ! [U_113] :
( sdtasdt0(U_117,U_113) != sK21(U_117,U_123)
| ~ aElement0(U_113) )
& aElementOf0(sK21(U_117,U_123),U_123) )
| ~ aSet0(U_123) )
& ! [U_122] :
( ( ! [U_119] :
( aElementOf0(U_119,U_122)
| ! [U_111] :
( sdtasdt0(U_117,U_111) != U_119
| ~ aElement0(U_111) ) )
& ! [U_118] :
( ( sdtasdt0(U_117,sK20(U_117,U_122,U_118)) = U_118
& aElement0(sK20(U_117,U_122,U_118)) )
| ~ aElementOf0(U_118,U_122) )
& aSet0(U_122) )
| U_122 != slsdtgt0(U_117) ) )
| ~ aElement0(U_117) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_114,sK23(U_117,U_123))],[f_37_6]) ).
cnf(f_37_11,plain,
( aElementOf0(U_119,U_122)
| sdtasdt0(U_117,U_111) != U_119
| ~ aElement0(U_111)
| U_122 != slsdtgt0(U_117)
| ~ aElement0(U_117) ),
inference(clausify,[status(thm)],[f_37_7]) ).
fof(f_38_1,plain,
aElement0(xc),
inference(fof_nnf,[status(thm)],[m__1905]) ).
cnf(f_38_2,plain,
aElement0(xc),
inference(clausify,[status(thm)],[f_38_1]) ).
fof(f_39_1,plain,
( aElement0(xz)
& aElementOf0(xy,slsdtgt0(xc))
& aElementOf0(xx,slsdtgt0(xc)) ),
inference(fof_nnf,[status(thm)],[m__1933]) ).
cnf(f_39_4,plain,
aElement0(xz),
inference(clausify,[status(thm)],[f_39_1]) ).
fof(f_40_1,plain,
( sdtasdt0(xc,xu) = xx
& aElement0(xu) ),
inference(fof_nnf,[status(thm)],[m__1956]) ).
cnf(f_40_2,plain,
aElement0(xu),
inference(clausify,[status(thm)],[f_40_1]) ).
fof(f_41_1,plain,
( sdtasdt0(xc,xv) = xy
& aElement0(xv) ),
inference(fof_nnf,[status(thm)],[m__1979]) ).
cnf(f_41_2,plain,
aElement0(xv),
inference(clausify,[status(thm)],[f_41_1]) ).
fof(f_42_1,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(fof_nnf,[status(thm)],[m__2010]) ).
cnf(f_42_2,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(clausify,[status(thm)],[f_42_1]) ).
fof(f_43_1,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(fof_nnf,[status(thm)],[m__2043]) ).
cnf(f_43_2,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(clausify,[status(thm)],[f_43_1]) ).
fof(f_44_1,negated_conjecture,
~ ( aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
& aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(negate,[status(cth)],[m__]) ).
fof(f_44_2,negated_conjecture,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(fof_nnf,[status(thm)],[f_44_1]) ).
fof(f_44_3,negated_conjecture,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(definitional_conversion,[status(esa)],[f_44_2]) ).
cnf(f_44_4,negated_conjecture,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(clausify,[status(thm)],[f_44_3]) ).
cnf(equality_1,axiom,
Eq_x_0 = Eq_x_0,
theory(equality,[reflexivity]) ).
cnf(equality_2,axiom,
( Eq_x_1 = Eq_x_0
| Eq_x_0 != Eq_x_1 ),
theory(equality,[symmetry]) ).
cnf(equality_10,axiom,
( slsdtgt0(Eq_x_0) = slsdtgt0(Eq_y_0)
| Eq_x_0 != Eq_y_0 ),
theory(equality,[substitution_functions]) ).
cnf(t1,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc))
| ~ aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(start,[status(thm),parent(0:0)],[f_44_4]) ).
cnf(t2,plain,
( slsdtgt0(xc) != slsdtgt0(xc)
| ~ aElement0(sdtpldt0(xu,xv))
| sdtasdt0(xc,sdtpldt0(xu,xv)) != sdtpldt0(xx,xy)
| ~ aElement0(xc)
| aElementOf0(sdtpldt0(xx,xy),slsdtgt0(xc)) ),
inference(extension,[status(thm),parent(t1:1)],[f_37_11]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
aElement0(xc),
inference(extension,[status(thm),parent(t2:2)],[f_38_2]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( sdtpldt0(xx,xy) != sdtasdt0(xc,sdtpldt0(xu,xv))
| sdtasdt0(xc,sdtpldt0(xu,xv)) = sdtpldt0(xx,xy) ),
inference(extension,[status(thm),parent(t2:3)],[equality_2]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t2:3]) ).
cnf(t8,plain,
sdtpldt0(xx,xy) = sdtasdt0(xc,sdtpldt0(xu,xv)),
inference(extension,[status(thm),parent(t6:2)],[f_42_2]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
( ~ aElement0(xv)
| ~ aElement0(xu)
| aElement0(sdtpldt0(xu,xv)) ),
inference(extension,[status(thm),parent(t2:4)],[f_5_3]) ).
cnf(t11,plain,
$false,
inference(connection,[status(thm),parent(t10:1)],[t10:1,t2:4]) ).
cnf(t12,plain,
aElement0(xu),
inference(extension,[status(thm),parent(t10:2)],[f_40_2]) ).
cnf(t13,plain,
$false,
inference(connection,[status(thm),parent(t12:1)],[t12:1,t10:2]) ).
cnf(t14,plain,
aElement0(xv),
inference(extension,[status(thm),parent(t10:3)],[f_41_2]) ).
cnf(t15,plain,
$false,
inference(connection,[status(thm),parent(t14:1)],[t14:1,t10:3]) ).
cnf(t16,plain,
( xc != xc
| slsdtgt0(xc) = slsdtgt0(xc) ),
inference(extension,[status(thm),parent(t2:5)],[equality_10]) ).
cnf(t17,plain,
$false,
inference(connection,[status(thm),parent(t16:1)],[t16:1,t2:5]) ).
cnf(t18,plain,
xc = xc,
inference(extension,[status(thm),parent(t16:2)],[equality_1]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t16:2]) ).
cnf(t20,plain,
( slsdtgt0(xc) != slsdtgt0(xc)
| ~ aElement0(sdtasdt0(xu,xz))
| sdtasdt0(xc,sdtasdt0(xu,xz)) != sdtasdt0(xz,xx)
| ~ aElement0(xc)
| aElementOf0(sdtasdt0(xz,xx),slsdtgt0(xc)) ),
inference(extension,[status(thm),parent(t1:2)],[f_37_11]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t1:2]) ).
cnf(t22,plain,
aElement0(xc),
inference(extension,[status(thm),parent(t20:2)],[f_38_2]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t20:2]) ).
cnf(t24,plain,
( sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz))
| sdtasdt0(xc,sdtasdt0(xu,xz)) = sdtasdt0(xz,xx) ),
inference(extension,[status(thm),parent(t20:3)],[equality_2]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t20:3]) ).
cnf(t26,plain,
sdtasdt0(xz,xx) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference(extension,[status(thm),parent(t24:2)],[f_43_2]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t24:2]) ).
cnf(t28,plain,
( ~ aElement0(xz)
| ~ aElement0(xu)
| aElement0(sdtasdt0(xu,xz)) ),
inference(extension,[status(thm),parent(t20:4)],[f_6_3]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t20:4]) ).
cnf(t30,plain,
aElement0(xu),
inference(extension,[status(thm),parent(t28:2)],[f_40_2]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
aElement0(xz),
inference(extension,[status(thm),parent(t28:3)],[f_39_4]) ).
cnf(t33,plain,
$false,
inference(connection,[status(thm),parent(t32:1)],[t32:1,t28:3]) ).
cnf(t34,plain,
( xc != xc
| slsdtgt0(xc) = slsdtgt0(xc) ),
inference(extension,[status(thm),parent(t20:5)],[equality_10]) ).
cnf(t35,plain,
$false,
inference(connection,[status(thm),parent(t34:1)],[t34:1,t20:5]) ).
cnf(t36,plain,
xc = xc,
inference(extension,[status(thm),parent(t34:2)],[equality_1]) ).
cnf(t37,plain,
$false,
inference(connection,[status(thm),parent(t36:1)],[t36:1,t34:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG105+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 This is a FOF_THM_RFO_SEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/5.38 % Computer : n019.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Sat Sep 19 20:55:43 UTC 2026
% 0.11/5.39 % CPUTime :
% 121.64/126.94 % SZS status Theorem for theBenchmark
% 121.64/126.94 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------