%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP682-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 07:31:11 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.42s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 106 ( 106 unt; 0 def)
% Number of atoms : 106 ( 105 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 253 ( 0 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f01,axiom,
! [VAR_0] : ld(VAR_0,mult(VAR_0,VAR_0)) = VAR_0,
file('theBenchmark.p',f01) ).
cnf(c_1,plain,
ld(A,mult(A,A)) = A,
inference(clausify,[status(thm)],[f01]) ).
fof(f02,axiom,
! [VAR_0] : rd(mult(VAR_0,VAR_0),VAR_0) = VAR_0,
file('theBenchmark.p',f02) ).
cnf(c_2,plain,
rd(mult(A,A),A) = A,
inference(clausify,[status(thm)],[f02]) ).
fof(f03,axiom,
! [VAR_0,VAR_1] : mult(VAR_0,ld(VAR_0,VAR_1)) = ld(VAR_0,mult(VAR_0,VAR_1)),
file('theBenchmark.p',f03) ).
cnf(c_3,plain,
mult(A,ld(A,B)) = ld(A,mult(A,B)),
inference(clausify,[status(thm)],[f03]) ).
cnf(c_4,plain,
ld(A,mult(A,B)) = mult(A,ld(A,B)),
inference(copy,[status(thm)],[c_3]) ).
fof(f04,axiom,
! [VAR_0,VAR_1] : mult(rd(VAR_0,VAR_1),VAR_1) = rd(mult(VAR_0,VAR_1),VAR_1),
file('theBenchmark.p',f04) ).
cnf(c_5,plain,
mult(rd(A,B),B) = rd(mult(A,B),B),
inference(clausify,[status(thm)],[f04]) ).
cnf(c_6,plain,
rd(mult(A,B),B) = mult(rd(A,B),B),
inference(copy,[status(thm)],[c_5]) ).
fof(f05,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : ld(ld(VAR_0,VAR_1),mult(ld(VAR_0,VAR_1),mult(VAR_2,VAR_3))) = mult(ld(VAR_0,mult(VAR_0,VAR_2)),VAR_3),
file('theBenchmark.p',f05) ).
cnf(c_7,plain,
ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
inference(clausify,[status(thm)],[f05]) ).
cnf(c_285,plain,
mult(ld(A,B),ld(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
inference(paramod,[status(thm)],[c_4,c_7]) ).
cnf(c_8,plain,
mult(ld(A,B),ld(ld(A,B),mult(C,D))) = mult(mult(A,ld(A,C)),D),
inference(paramod,[status(thm)],[c_4,c_285]) ).
fof(f06,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : rd(mult(mult(VAR_0,VAR_1),rd(VAR_2,VAR_3)),rd(VAR_2,VAR_3)) = mult(VAR_0,rd(mult(VAR_1,VAR_3),VAR_3)),
file('theBenchmark.p',f06) ).
cnf(c_9,plain,
rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
inference(clausify,[status(thm)],[f06]) ).
cnf(c_286,plain,
mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
inference(paramod,[status(thm)],[c_6,c_9]) ).
cnf(c_10,plain,
mult(rd(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,mult(rd(B,D),D)),
inference(paramod,[status(thm)],[c_6,c_286]) ).
fof(f07,axiom,
! [VAR_0,VAR_1] : ld(VAR_0,mult(VAR_0,ld(VAR_1,VAR_1))) = rd(mult(rd(VAR_0,VAR_0),VAR_1),VAR_1),
file('theBenchmark.p',f07) ).
cnf(c_11,plain,
ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
inference(clausify,[status(thm)],[f07]) ).
cnf(c_287,plain,
mult(A,ld(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
inference(paramod,[status(thm)],[c_4,c_11]) ).
cnf(c_288,plain,
mult(A,ld(A,ld(B,B))) = mult(rd(rd(A,A),B),B),
inference(paramod,[status(thm)],[c_6,c_287]) ).
cnf(c_12,plain,
mult(rd(rd(A,A),B),B) = mult(A,ld(A,ld(B,B))),
inference(copy,[status(thm)],[c_288]) ).
fof(goal,axiom,
ld(rd(x0,x1),mult(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
file('theBenchmark.p',goal) ).
cnf(c_13,plain,
ld(rd(x0,x1),mult(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
inference(clausify,[status(thm)],[goal]) ).
cnf(c_289,plain,
mult(rd(x0,x1),ld(rd(x0,x1),x2)) != ld(x0,mult(x0,x2)),
inference(paramod,[status(thm)],[c_4,c_13]) ).
cnf(c_14,plain,
mult(rd(x0,x1),ld(rd(x0,x1),x2)) != mult(x0,ld(x0,x2)),
inference(paramod,[status(thm)],[c_4,c_289]) ).
cnf(c_15,plain,
mult(A,ld(A,A)) = A,
inference(paramod,[status(thm)],[c_4,c_1]) ).
cnf(c_16,plain,
mult(rd(A,A),A) = A,
inference(paramod,[status(thm)],[c_6,c_2]) ).
cnf(c_290,plain,
ld(ld(A,B),mult(mult(A,ld(A,C)),D)) = mult(ld(A,B),ld(ld(A,B),ld(ld(A,B),mult(C,D)))),
inference(paramod,[status(thm)],[c_8,c_4]) ).
cnf(c_17,plain,
mult(ld(A,B),ld(ld(A,B),ld(ld(A,B),mult(C,D)))) = ld(ld(A,B),mult(mult(A,ld(A,C)),D)),
inference(copy,[status(thm)],[c_290]) ).
cnf(c_291,plain,
mult(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),mult(C,D))) = mult(mult(A,ld(A,C)),D),
inference(paramod,[status(thm)],[c_4,c_8]) ).
cnf(c_18,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D))) = mult(mult(A,ld(A,C)),D),
inference(paramod,[status(thm)],[c_4,c_291]) ).
cnf(c_292,plain,
ld(A,A) = mult(A,ld(A,ld(A,A))),
inference(paramod,[status(thm)],[c_15,c_4]) ).
cnf(c_33,plain,
mult(A,ld(A,ld(A,A))) = ld(A,A),
inference(copy,[status(thm)],[c_292]) ).
cnf(c_293,plain,
rd(A,ld(A,A)) = mult(rd(A,ld(A,A)),ld(A,A)),
inference(paramod,[status(thm)],[c_15,c_6]) ).
cnf(c_34,plain,
mult(rd(A,ld(A,A)),ld(A,A)) = rd(A,ld(A,A)),
inference(copy,[status(thm)],[c_293]) ).
cnf(c_36,plain,
mult(rd(A,rd(B,C)),rd(B,C)) = mult(A,mult(rd(ld(A,A),C),C)),
inference(paramod,[status(thm)],[c_15,c_10]) ).
cnf(c_294,plain,
rd(A,A) = mult(rd(rd(A,A),A),A),
inference(paramod,[status(thm)],[c_16,c_6]) ).
cnf(c_295,plain,
rd(A,A) = mult(A,ld(A,ld(A,A))),
inference(paramod,[status(thm)],[c_12,c_294]) ).
cnf(c_38,plain,
rd(A,A) = ld(A,A),
inference(paramod,[status(thm)],[c_33,c_295]) ).
cnf(c_296,plain,
rd(mult(A,A),A) = A,
inference(paramod,[status(thm)],[c_16,c_6]) ).
cnf(c_297,plain,
mult(rd(A,A),A) = A,
inference(paramod,[status(thm)],[c_6,c_296]) ).
cnf(c_39,plain,
mult(ld(A,A),A) = A,
inference(paramod,[status(thm)],[c_38,c_297]) ).
cnf(c_298,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(mult(A,ld(A,rd(C,C))),C),
inference(paramod,[status(thm)],[c_16,c_8]) ).
cnf(c_40,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(mult(A,ld(A,ld(C,C))),C),
inference(paramod,[status(thm)],[c_38,c_298]) ).
cnf(c_48,plain,
mult(rd(ld(A,A),B),B) = mult(A,ld(A,ld(B,B))),
inference(paramod,[status(thm)],[c_38,c_12]) ).
cnf(c_49,plain,
mult(rd(A,rd(B,C)),rd(B,C)) = mult(A,mult(A,ld(A,ld(C,C)))),
inference(paramod,[status(thm)],[c_48,c_36]) ).
cnf(c_299,plain,
mult(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),ld(ld(A,mult(A,B)),mult(C,D)))) = ld(ld(A,mult(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_4,c_17]) ).
cnf(c_300,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),ld(ld(A,mult(A,B)),mult(C,D)))) = ld(ld(A,mult(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_4,c_299]) ).
cnf(c_301,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D)))) = ld(ld(A,mult(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_4,c_300]) ).
cnf(c_50,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D)))) = ld(mult(A,ld(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_4,c_301]) ).
cnf(c_302,plain,
mult(rd(mult(A,B),ld(C,C)),rd(C,C)) = mult(A,mult(rd(B,C),C)),
inference(paramod,[status(thm)],[c_38,c_10]) ).
cnf(c_53,plain,
mult(rd(mult(A,B),ld(C,C)),ld(C,C)) = mult(A,mult(rd(B,C),C)),
inference(paramod,[status(thm)],[c_38,c_302]) ).
cnf(c_303,plain,
mult(rd(A,ld(B,B)),ld(B,B)) = mult(A,mult(rd(ld(A,A),B),B)),
inference(paramod,[status(thm)],[c_15,c_53]) ).
cnf(c_70,plain,
mult(rd(A,ld(B,B)),ld(B,B)) = mult(A,mult(A,ld(A,ld(B,B)))),
inference(paramod,[status(thm)],[c_48,c_303]) ).
cnf(c_304,plain,
mult(A,ld(mult(A,ld(A,A)),mult(B,C))) = mult(mult(A,ld(A,B)),C),
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_305,plain,
mult(A,ld(A,mult(B,C))) = mult(mult(A,ld(A,B)),C),
inference(paramod,[status(thm)],[c_15,c_304]) ).
cnf(c_81,plain,
mult(mult(A,ld(A,B)),C) = mult(A,ld(A,mult(B,C))),
inference(copy,[status(thm)],[c_305]) ).
cnf(c_306,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C)) = mult(mult(A,ld(A,C)),ld(C,C)),
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_307,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))) = mult(mult(A,ld(A,C)),ld(C,C)),
inference(paramod,[status(thm)],[c_81,c_306]) ).
cnf(c_308,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))) = mult(A,ld(A,mult(C,ld(C,C)))),
inference(paramod,[status(thm)],[c_81,c_307]) ).
cnf(c_82,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_15,c_308]) ).
cnf(c_309,plain,
mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(A,C))) = mult(A,C),
inference(paramod,[status(thm)],[c_15,c_18]) ).
cnf(c_310,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),mult(A,C))))) = mult(A,C),
inference(paramod,[status(thm)],[c_81,c_309]) ).
cnf(c_311,plain,
mult(A,ld(A,mult(A,C))) = mult(A,C),
inference(paramod,[status(thm)],[c_82,c_310]) ).
cnf(c_83,plain,
mult(A,mult(A,ld(A,B))) = mult(A,B),
inference(paramod,[status(thm)],[c_4,c_311]) ).
cnf(c_312,plain,
mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),mult(C,D)))))) = ld(mult(A,ld(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_81,c_50]) ).
cnf(c_313,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(C,D)))) = ld(mult(A,ld(A,B)),mult(mult(A,ld(A,C)),D)),
inference(paramod,[status(thm)],[c_82,c_312]) ).
cnf(c_314,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(C,D)))) = ld(mult(A,ld(A,B)),mult(A,ld(A,mult(C,D)))),
inference(paramod,[status(thm)],[c_81,c_313]) ).
cnf(c_98,plain,
ld(mult(A,ld(A,B)),mult(A,ld(A,mult(C,D)))) = mult(A,ld(A,ld(mult(A,ld(A,B)),mult(C,D)))),
inference(copy,[status(thm)],[c_314]) ).
cnf(c_315,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(A,ld(A,mult(ld(C,C),C))),
inference(paramod,[status(thm)],[c_81,c_40]) ).
cnf(c_99,plain,
mult(ld(A,B),ld(ld(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_39,c_315]) ).
cnf(c_104,plain,
mult(rd(A,ld(B,B)),ld(B,B)) = mult(A,ld(B,B)),
inference(paramod,[status(thm)],[c_83,c_70]) ).
cnf(c_105,plain,
mult(rd(A,rd(B,C)),rd(B,C)) = mult(A,ld(C,C)),
inference(paramod,[status(thm)],[c_83,c_49]) ).
cnf(c_316,plain,
mult(A,ld(A,A)) = rd(A,ld(A,A)),
inference(paramod,[status(thm)],[c_104,c_34]) ).
cnf(c_317,plain,
A = rd(A,ld(A,A)),
inference(paramod,[status(thm)],[c_15,c_316]) ).
cnf(c_115,plain,
rd(A,ld(A,A)) = A,
inference(copy,[status(thm)],[c_317]) ).
cnf(c_318,plain,
mult(ld(ld(A,A),ld(A,A)),ld(A,A)) = mult(ld(A,A),ld(A,A)),
inference(paramod,[status(thm)],[c_38,c_104]) ).
cnf(c_319,plain,
ld(A,A) = mult(ld(A,A),ld(A,A)),
inference(paramod,[status(thm)],[c_39,c_318]) ).
cnf(c_122,plain,
mult(ld(A,A),ld(A,A)) = ld(A,A),
inference(copy,[status(thm)],[c_319]) ).
cnf(c_320,plain,
ld(ld(A,A),ld(A,A)) = mult(ld(A,A),ld(ld(A,A),ld(A,A))),
inference(paramod,[status(thm)],[c_122,c_4]) ).
cnf(c_126,plain,
ld(ld(A,A),ld(A,A)) = ld(A,A),
inference(paramod,[status(thm)],[c_15,c_320]) ).
cnf(c_321,plain,
ld(mult(A,ld(A,B)),mult(A,ld(A,mult(B,C)))) = mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C)),
inference(paramod,[status(thm)],[c_81,c_4]) ).
cnf(c_322,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(B,C)))) = mult(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C)),
inference(paramod,[status(thm)],[c_98,c_321]) ).
cnf(c_323,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(B,C)))) = mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),C)))),
inference(paramod,[status(thm)],[c_81,c_322]) ).
cnf(c_139,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),mult(B,C)))) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_82,c_323]) ).
cnf(c_151,plain,
mult(A,ld(A,ld(A,B))) = ld(A,B),
inference(paramod,[status(thm)],[c_99,c_15]) ).
cnf(c_324,plain,
ld(mult(A,ld(A,B)),C) = mult(A,ld(A,mult(B,ld(mult(A,ld(A,B)),ld(mult(A,ld(A,B)),C))))),
inference(paramod,[status(thm)],[c_151,c_81]) ).
cnf(c_325,plain,
ld(mult(A,ld(A,B)),C) = mult(A,ld(A,ld(mult(A,ld(A,B)),C))),
inference(paramod,[status(thm)],[c_82,c_324]) ).
cnf(c_157,plain,
mult(A,ld(A,ld(mult(A,ld(A,B)),C))) = ld(mult(A,ld(A,B)),C),
inference(copy,[status(thm)],[c_325]) ).
cnf(c_159,plain,
ld(mult(A,ld(A,B)),mult(B,C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_157,c_139]) ).
cnf(c_326,plain,
ld(mult(A,mult(A,ld(A,B))),mult(mult(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_4,c_159]) ).
cnf(c_327,plain,
ld(mult(A,B),mult(mult(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_83,c_326]) ).
cnf(c_162,plain,
mult(mult(A,B),ld(mult(A,B),C)) = mult(A,ld(A,C)),
inference(paramod,[status(thm)],[c_4,c_327]) ).
cnf(c_328,plain,
mult(rd(A,B),rd(B,ld(B,B))) = mult(A,ld(ld(B,B),ld(B,B))),
inference(paramod,[status(thm)],[c_115,c_105]) ).
cnf(c_329,plain,
mult(rd(A,B),B) = mult(A,ld(ld(B,B),ld(B,B))),
inference(paramod,[status(thm)],[c_115,c_328]) ).
cnf(c_175,plain,
mult(rd(A,B),B) = mult(A,ld(B,B)),
inference(paramod,[status(thm)],[c_126,c_329]) ).
cnf(c_232,plain,
ld(rd(A,B),mult(A,ld(B,B))) = mult(rd(A,B),ld(rd(A,B),B)),
inference(paramod,[status(thm)],[c_175,c_4]) ).
cnf(c_330,plain,
ld(mult(rd(A,B),mult(rd(A,B),ld(rd(A,B),B))),mult(mult(A,ld(B,B)),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_232,c_159]) ).
cnf(c_331,plain,
ld(mult(rd(A,B),B),mult(mult(A,ld(B,B)),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_83,c_330]) ).
cnf(c_332,plain,
ld(mult(A,ld(B,B)),mult(mult(A,ld(B,B)),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_175,c_331]) ).
cnf(c_333,plain,
mult(mult(A,ld(B,B)),ld(mult(A,ld(B,B)),C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_4,c_332]) ).
cnf(c_334,plain,
mult(A,ld(A,C)) = mult(rd(A,B),ld(rd(A,B),C)),
inference(paramod,[status(thm)],[c_162,c_333]) ).
cnf(c_283,plain,
mult(rd(A,B),ld(rd(A,B),C)) = mult(A,ld(A,C)),
inference(copy,[status(thm)],[c_334]) ).
cnf(c_284,plain,
$false,
inference(resolve,[status(thm)],[c_283,c_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP682-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n001.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Fri Sep 25 15:41:55 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/0.35 % Process 3703872 was started by sandbox on n001,
% 0.11/0.35 % Fri Sep 25 15:41:55 2026
% 0.11/0.35 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/0.36
% 0.11/0.36 % From the command line: assign(max_seconds, 300).
% 0.13/0.42
% 0.13/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.42
% 0.13/0.42 % Proof 1 at 0.04 (+ 0.02) seconds.
% 0.13/0.42 % Length of proof is 48.
% 0.13/0.42 % Level of proof is 13.
% 0.13/0.42 % Maximum clause weight is 80.000.
% 0.13/0.42 % Given clauses 45.
% 0.13/0.42
% 0.13/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
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