%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS264+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 08:47:36 AM UTC 2026
% Result : Theorem 96.78s 97.05s
% Output : Proof 96.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 73 ( 32 unt; 0 def)
% Number of atoms : 295 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 354 ( 132 ~; 115 |; 101 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 193 ( 4 sgn 111 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm,axiom,
! [Ax,C] :
( ! [I1] :
( model(I1,Ax)
=> model(I1,C) )
<=> status(Ax,C,thm) ),
file('KRS001+0.ax',thm) ).
fof(wth,axiom,
! [Ax,C] :
( ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,Ax)
=> model(I2,C) )
& ? [I1] : model(I1,Ax) )
<=> status(Ax,C,wth) ),
file('KRS001+0.ax',wth) ).
fof(mighta,axiom,
! [S1,S2] :
( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
<=> mighta(S1,S2) ),
file('KRS001+1.ax',mighta) ).
fof(mixed_pair,axiom,
? [Ax,C] :
( ? [I4] : ~ model(I4,C)
& ? [I3] :
( model(I3,C)
& ~ model(I3,Ax) )
& ! [I2] :
( model(I2,Ax)
=> model(I2,C) )
& ? [I1] : model(I1,Ax) ),
file('KRS001+1.ax',mixed_pair) ).
fof(mighta_wth_thm,conjecture,
mighta(wth,thm),
file('theBenchmark.p',mighta_wth_thm) ).
fof(f_5_1,plain,
! [Ax,C] :
( ( ! [I1] :
( model(I1,C)
| ~ model(I1,Ax) )
| ~ status(Ax,C,thm) )
& ( status(Ax,C,thm)
| ? [I1] :
( ~ model(I1,C)
& model(I1,Ax) ) ) ),
inference(fof_nnf,[status(thm)],[thm]) ).
fof(f_5_2,plain,
! [U_45,U_44] :
( ( ! [U_43] :
( model(U_43,U_44)
| ~ model(U_43,U_45) )
| ~ status(U_45,U_44,thm) )
& ( status(U_45,U_44,thm)
| ? [U_42] :
( ~ model(U_42,U_44)
& model(U_42,U_45) ) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_49,U_47] :
( ! [U_43] :
( model(U_43,U_47)
| ~ model(U_43,U_49) )
| ~ status(U_49,U_47,thm) )
& ! [U_48,U_46] :
( status(U_48,U_46,thm)
| ? [U_42] :
( ~ model(U_42,U_46)
& model(U_42,U_48) ) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_49,U_47] :
( ! [U_43] :
( model(U_43,U_47)
| ~ model(U_43,U_49) )
| ~ status(U_49,U_47,thm) )
& ! [U_48,U_46] :
( status(U_48,U_46,thm)
| ( ~ model(sK10(U_48,U_46),U_46)
& model(sK10(U_48,U_46),U_48) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_42,sK10(U_48,U_46))],[f_5_3]) ).
cnf(f_5_5,plain,
( model(sK10(U_48,U_46),U_48)
| status(U_48,U_46,thm) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_6,plain,
( ~ model(sK10(U_48,U_46),U_46)
| status(U_48,U_46,thm) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_12_1,plain,
! [Ax,C] :
( ( ( ? [I4] : ~ model(I4,C)
& ? [I3] :
( ~ model(I3,Ax)
& model(I3,C) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) )
| ~ status(Ax,C,wth) )
& ( status(Ax,C,wth)
| ! [I4] : model(I4,C)
| ! [I3] :
( model(I3,Ax)
| ~ model(I3,C) )
| ? [I2] :
( ~ model(I2,C)
& model(I2,Ax) )
| ! [I1] : ~ model(I1,Ax) ) ),
inference(fof_nnf,[status(thm)],[wth]) ).
fof(f_12_2,plain,
! [U_135,U_134] :
( ( ( ? [U_133] : ~ model(U_133,U_134)
& ? [U_132] :
( ~ model(U_132,U_135)
& model(U_132,U_134) )
& ! [U_131] :
( model(U_131,U_134)
| ~ model(U_131,U_135) )
& ? [U_130] : model(U_130,U_135) )
| ~ status(U_135,U_134,wth) )
& ( status(U_135,U_134,wth)
| ! [U_129] : model(U_129,U_134)
| ! [U_128] :
( model(U_128,U_135)
| ~ model(U_128,U_134) )
| ? [U_127] :
( ~ model(U_127,U_134)
& model(U_127,U_135) )
| ! [U_126] : ~ model(U_126,U_135) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_139,U_137] :
( ( ? [U_133] : ~ model(U_133,U_137)
& ? [U_132] :
( ~ model(U_132,U_139)
& model(U_132,U_137) )
& ! [U_131] :
( model(U_131,U_137)
| ~ model(U_131,U_139) )
& ? [U_130] : model(U_130,U_139) )
| ~ status(U_139,U_137,wth) )
& ! [U_138,U_136] :
( status(U_138,U_136,wth)
| ! [U_129] : model(U_129,U_136)
| ! [U_128] :
( model(U_128,U_138)
| ~ model(U_128,U_136) )
| ? [U_127] :
( ~ model(U_127,U_136)
& model(U_127,U_138) )
| ! [U_126] : ~ model(U_126,U_138) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_139,U_137] :
( ( ? [U_133] : ~ model(U_133,U_137)
& ? [U_132] :
( ~ model(U_132,U_139)
& model(U_132,U_137) )
& ! [U_131] :
( model(U_131,U_137)
| ~ model(U_131,U_139) )
& ? [U_130] : model(U_130,U_139) )
| ~ status(U_139,U_137,wth) )
& ! [U_138,U_136] :
( status(U_138,U_136,wth)
| ! [U_129] : model(U_129,U_136)
| ! [U_128] :
( model(U_128,U_138)
| ~ model(U_128,U_136) )
| ( ~ model(sK28(U_138,U_136),U_136)
& model(sK28(U_138,U_136),U_138) )
| ! [U_126] : ~ model(U_126,U_138) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_127,sK28(U_138,U_136))],[f_12_3]) ).
fof(f_12_5,plain,
( ! [U_139,U_137] :
( ( ? [U_133] : ~ model(U_133,U_137)
& ? [U_132] :
( ~ model(U_132,U_139)
& model(U_132,U_137) )
& ! [U_131] :
( model(U_131,U_137)
| ~ model(U_131,U_139) )
& model(sK29(U_139,U_137),U_139) )
| ~ status(U_139,U_137,wth) )
& ! [U_138,U_136] :
( status(U_138,U_136,wth)
| ! [U_129] : model(U_129,U_136)
| ! [U_128] :
( model(U_128,U_138)
| ~ model(U_128,U_136) )
| ( ~ model(sK28(U_138,U_136),U_136)
& model(sK28(U_138,U_136),U_138) )
| ! [U_126] : ~ model(U_126,U_138) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_130,sK29(U_139,U_137))],[f_12_4]) ).
fof(f_12_6,plain,
( ! [U_139,U_137] :
( ( ? [U_133] : ~ model(U_133,U_137)
& ~ model(sK30(U_139,U_137),U_139)
& model(sK30(U_139,U_137),U_137)
& ! [U_131] :
( model(U_131,U_137)
| ~ model(U_131,U_139) )
& model(sK29(U_139,U_137),U_139) )
| ~ status(U_139,U_137,wth) )
& ! [U_138,U_136] :
( status(U_138,U_136,wth)
| ! [U_129] : model(U_129,U_136)
| ! [U_128] :
( model(U_128,U_138)
| ~ model(U_128,U_136) )
| ( ~ model(sK28(U_138,U_136),U_136)
& model(sK28(U_138,U_136),U_138) )
| ! [U_126] : ~ model(U_126,U_138) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_132,sK30(U_139,U_137))],[f_12_5]) ).
fof(f_12_7,plain,
( ! [U_139,U_137] :
( ( ~ model(sK31(U_139,U_137),U_137)
& ~ model(sK30(U_139,U_137),U_139)
& model(sK30(U_139,U_137),U_137)
& ! [U_131] :
( model(U_131,U_137)
| ~ model(U_131,U_139) )
& model(sK29(U_139,U_137),U_139) )
| ~ status(U_139,U_137,wth) )
& ! [U_138,U_136] :
( status(U_138,U_136,wth)
| ! [U_129] : model(U_129,U_136)
| ! [U_128] :
( model(U_128,U_138)
| ~ model(U_128,U_136) )
| ( ~ model(sK28(U_138,U_136),U_136)
& model(sK28(U_138,U_136),U_138) )
| ! [U_126] : ~ model(U_126,U_138) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_133,sK31(U_139,U_137))],[f_12_6]) ).
cnf(f_12_8,plain,
( model(sK28(U_138,U_136),U_138)
| model(U_128,U_138)
| ~ model(U_128,U_136)
| model(U_129,U_136)
| ~ model(U_126,U_138)
| status(U_138,U_136,wth) ),
inference(clausify,[status(thm)],[f_12_7]) ).
cnf(f_12_9,plain,
( ~ model(sK28(U_138,U_136),U_136)
| model(U_128,U_138)
| ~ model(U_128,U_136)
| model(U_129,U_136)
| ~ model(U_126,U_138)
| status(U_138,U_136,wth) ),
inference(clausify,[status(thm)],[f_12_7]) ).
fof(f_20_1,plain,
! [S1,S2] :
( ( ? [Ax,C] :
( status(Ax,C,S2)
& status(Ax,C,S1) )
| ~ mighta(S1,S2) )
& ( mighta(S1,S2)
| ! [Ax,C] :
( ~ status(Ax,C,S2)
| ~ status(Ax,C,S1) ) ) ),
inference(fof_nnf,[status(thm)],[mighta]) ).
fof(f_20_2,plain,
! [U_213,U_212] :
( ( ? [U_211,U_210] :
( status(U_211,U_210,U_212)
& status(U_211,U_210,U_213) )
| ~ mighta(U_213,U_212) )
& ( mighta(U_213,U_212)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_212)
| ~ status(U_209,U_208,U_213) ) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_217,U_215] :
( ? [U_211,U_210] :
( status(U_211,U_210,U_215)
& status(U_211,U_210,U_217) )
| ~ mighta(U_217,U_215) )
& ! [U_216,U_214] :
( mighta(U_216,U_214)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
( ! [U_217,U_215] :
( ? [U_210] :
( status(sK45(U_217,U_215),U_210,U_215)
& status(sK45(U_217,U_215),U_210,U_217) )
| ~ mighta(U_217,U_215) )
& ! [U_216,U_214] :
( mighta(U_216,U_214)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_211,sK45(U_217,U_215))],[f_20_3]) ).
fof(f_20_5,plain,
( ! [U_217,U_215] :
( ( status(sK45(U_217,U_215),sK46(U_217,U_215),U_215)
& status(sK45(U_217,U_215),sK46(U_217,U_215),U_217) )
| ~ mighta(U_217,U_215) )
& ! [U_216,U_214] :
( mighta(U_216,U_214)
| ! [U_209,U_208] :
( ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_210,sK46(U_217,U_215))],[f_20_4]) ).
cnf(f_20_6,plain,
( mighta(U_216,U_214)
| ~ status(U_209,U_208,U_214)
| ~ status(U_209,U_208,U_216) ),
inference(clausify,[status(thm)],[f_20_5]) ).
fof(f_31_1,plain,
? [Ax,C] :
( ? [I4] : ~ model(I4,C)
& ? [I3] :
( model(I3,C)
& ~ model(I3,Ax) )
& ! [I2] :
( model(I2,C)
| ~ model(I2,Ax) )
& ? [I1] : model(I1,Ax) ),
inference(fof_nnf,[status(thm)],[mixed_pair]) ).
fof(f_31_2,plain,
? [U_284,U_283] :
( ? [U_282] : ~ model(U_282,U_283)
& ? [U_281] :
( model(U_281,U_283)
& ~ model(U_281,U_284) )
& ! [U_280] :
( model(U_280,U_283)
| ~ model(U_280,U_284) )
& ? [U_279] : model(U_279,U_284) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
? [U_284] :
( ? [U_283] :
( ? [U_282] : ~ model(U_282,U_283)
& ? [U_281] :
( model(U_281,U_283)
& ~ model(U_281,U_284) )
& ! [U_280] :
( model(U_280,U_283)
| ~ model(U_280,U_284) ) )
& ? [U_279] : model(U_279,U_284) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
fof(f_31_4,plain,
( ? [U_283] :
( ? [U_282] : ~ model(U_282,U_283)
& ? [U_281] :
( model(U_281,U_283)
& ~ model(U_281,sK65) )
& ! [U_280] :
( model(U_280,U_283)
| ~ model(U_280,sK65) ) )
& ? [U_279] : model(U_279,sK65) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(U_284,sK65)],[f_31_3]) ).
fof(f_31_5,plain,
( ? [U_283] :
( ? [U_282] : ~ model(U_282,U_283)
& ? [U_281] :
( model(U_281,U_283)
& ~ model(U_281,sK65) )
& ! [U_280] :
( model(U_280,U_283)
| ~ model(U_280,sK65) ) )
& model(sK66,sK65) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(U_279,sK66)],[f_31_4]) ).
fof(f_31_6,plain,
( ? [U_282] : ~ model(U_282,sK67)
& ? [U_281] :
( model(U_281,sK67)
& ~ model(U_281,sK65) )
& ! [U_280] :
( model(U_280,sK67)
| ~ model(U_280,sK65) )
& model(sK66,sK65) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(U_283,sK67)],[f_31_5]) ).
fof(f_31_7,plain,
( ? [U_282] : ~ model(U_282,sK67)
& model(sK68,sK67)
& ~ model(sK68,sK65)
& ! [U_280] :
( model(U_280,sK67)
| ~ model(U_280,sK65) )
& model(sK66,sK65) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(U_281,sK68)],[f_31_6]) ).
fof(f_31_8,plain,
( ~ model(sK69,sK67)
& model(sK68,sK67)
& ~ model(sK68,sK65)
& ! [U_280] :
( model(U_280,sK67)
| ~ model(U_280,sK65) )
& model(sK66,sK65) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(U_282,sK69)],[f_31_7]) ).
cnf(f_31_9,plain,
model(sK66,sK65),
inference(clausify,[status(thm)],[f_31_8]) ).
cnf(f_31_10,plain,
( model(U_280,sK67)
| ~ model(U_280,sK65) ),
inference(clausify,[status(thm)],[f_31_8]) ).
cnf(f_31_11,plain,
~ model(sK68,sK65),
inference(clausify,[status(thm)],[f_31_8]) ).
cnf(f_31_12,plain,
model(sK68,sK67),
inference(clausify,[status(thm)],[f_31_8]) ).
cnf(f_31_13,plain,
~ model(sK69,sK67),
inference(clausify,[status(thm)],[f_31_8]) ).
fof(f_33_1,negated_conjecture,
~ mighta(wth,thm),
inference(negate,[status(cth)],[mighta_wth_thm]) ).
cnf(f_33_2,negated_conjecture,
~ mighta(wth,thm),
inference(clausify,[status(thm)],[f_33_1]) ).
cnf(t1,plain,
~ mighta(wth,thm),
inference(start,[status(thm),parent(0:0)],[f_33_2]) ).
cnf(t2,plain,
( ~ status(sK65,sK67,thm)
| ~ status(sK65,sK67,wth)
| mighta(wth,thm) ),
inference(extension,[status(thm),parent(t1:1)],[f_20_6]) ).
cnf(t3,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
( ~ model(sK66,sK65)
| model(sK69,sK67)
| ~ model(sK68,sK67)
| model(sK68,sK65)
| model(sK28(sK65,sK67),sK65)
| status(sK65,sK67,wth) ),
inference(extension,[status(thm),parent(t2:2)],[f_12_8]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
cnf(t6,plain,
( model(sK28(sK65,sK67),sK67)
| ~ model(sK28(sK65,sK67),sK65) ),
inference(extension,[status(thm),parent(t4:2)],[f_31_10]) ).
cnf(t7,plain,
$false,
inference(connection,[status(thm),parent(t6:1)],[t6:1,t4:2]) ).
cnf(t8,plain,
( ~ model(sK28(sK65,sK67),sK65)
| model(sK69,sK67)
| ~ model(sK68,sK67)
| model(sK68,sK65)
| status(sK65,sK67,wth)
| ~ model(sK28(sK65,sK67),sK67) ),
inference(extension,[status(thm),parent(t6:2)],[f_12_9]) ).
cnf(t9,plain,
$false,
inference(connection,[status(thm),parent(t8:1)],[t8:1,t6:2]) ).
cnf(t10,plain,
$false,
inference(reduction,[status(thm),parent(t8:2)],[t8:2,t2:2]) ).
cnf(t11,plain,
~ model(sK68,sK65),
inference(extension,[status(thm),parent(t8:3)],[f_31_11]) ).
cnf(t12,plain,
$false,
inference(connection,[status(thm),parent(t11:1)],[t11:1,t8:3]) ).
cnf(t13,plain,
model(sK68,sK67),
inference(extension,[status(thm),parent(t8:4)],[f_31_12]) ).
cnf(t14,plain,
$false,
inference(connection,[status(thm),parent(t13:1)],[t13:1,t8:4]) ).
cnf(t15,plain,
~ model(sK69,sK67),
inference(extension,[status(thm),parent(t8:5)],[f_31_13]) ).
cnf(t16,plain,
$false,
inference(connection,[status(thm),parent(t15:1)],[t15:1,t8:5]) ).
cnf(t17,plain,
$false,
inference(reduction,[status(thm),parent(t8:6)],[t8:6,t4:2]) ).
cnf(t18,plain,
~ model(sK68,sK65),
inference(extension,[status(thm),parent(t4:3)],[f_31_11]) ).
cnf(t19,plain,
$false,
inference(connection,[status(thm),parent(t18:1)],[t18:1,t4:3]) ).
cnf(t20,plain,
model(sK68,sK67),
inference(extension,[status(thm),parent(t4:4)],[f_31_12]) ).
cnf(t21,plain,
$false,
inference(connection,[status(thm),parent(t20:1)],[t20:1,t4:4]) ).
cnf(t22,plain,
~ model(sK69,sK67),
inference(extension,[status(thm),parent(t4:5)],[f_31_13]) ).
cnf(t23,plain,
$false,
inference(connection,[status(thm),parent(t22:1)],[t22:1,t4:5]) ).
cnf(t24,plain,
model(sK66,sK65),
inference(extension,[status(thm),parent(t4:6)],[f_31_9]) ).
cnf(t25,plain,
$false,
inference(connection,[status(thm),parent(t24:1)],[t24:1,t4:6]) ).
cnf(t26,plain,
( ~ model(sK10(sK65,sK67),sK67)
| status(sK65,sK67,thm) ),
inference(extension,[status(thm),parent(t2:3)],[f_5_6]) ).
cnf(t27,plain,
$false,
inference(connection,[status(thm),parent(t26:1)],[t26:1,t2:3]) ).
cnf(t28,plain,
( ~ model(sK10(sK65,sK67),sK65)
| model(sK10(sK65,sK67),sK67) ),
inference(extension,[status(thm),parent(t26:2)],[f_31_10]) ).
cnf(t29,plain,
$false,
inference(connection,[status(thm),parent(t28:1)],[t28:1,t26:2]) ).
cnf(t30,plain,
( status(sK65,sK67,thm)
| model(sK10(sK65,sK67),sK65) ),
inference(extension,[status(thm),parent(t28:2)],[f_5_5]) ).
cnf(t31,plain,
$false,
inference(connection,[status(thm),parent(t30:1)],[t30:1,t28:2]) ).
cnf(t32,plain,
$false,
inference(reduction,[status(thm),parent(t30:2)],[t30:2,t2:3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS264+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.03 % Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n016.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 19 12:27:20 UTC 2026
% 0.08/0.35 % CPUTime :
% 96.78/97.05 % SZS status Theorem for theBenchmark
% 96.78/97.05 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------