%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP124-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 07:27:38 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.47s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 118 ( 48 unt; 0 def)
% Number of atoms : 252 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 231 ( 97 ~; 134 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 81 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3),
file('theBenchmark.p',e_4_is_not_e_3) ).
cnf(c_2,plain,
~ equalish(e_4,e_3),
inference(clausify,[status(thm)],[e_4_is_not_e_3]) ).
fof(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2),
file('theBenchmark.p',e_4_is_not_e_2) ).
cnf(c_3,plain,
~ equalish(e_4,e_2),
inference(clausify,[status(thm)],[e_4_is_not_e_2]) ).
fof(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1),
file('theBenchmark.p',e_4_is_not_e_1) ).
cnf(c_4,plain,
~ equalish(e_4,e_1),
inference(clausify,[status(thm)],[e_4_is_not_e_1]) ).
fof(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2),
file('theBenchmark.p',e_3_is_not_e_2) ).
cnf(c_6,plain,
~ equalish(e_3,e_2),
inference(clausify,[status(thm)],[e_3_is_not_e_2]) ).
fof(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1),
file('theBenchmark.p',e_3_is_not_e_1) ).
cnf(c_7,plain,
~ equalish(e_3,e_1),
inference(clausify,[status(thm)],[e_3_is_not_e_1]) ).
fof(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('theBenchmark.p',e_2_is_not_e_1) ).
cnf(c_10,plain,
~ equalish(e_2,e_1),
inference(clausify,[status(thm)],[e_2_is_not_e_1]) ).
fof(product1_right_cancellation,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( equalish(VAR_1,VAR_3)
| ~ product1(VAR_0,VAR_3,VAR_2)
| ~ product1(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',product1_right_cancellation) ).
cnf(c_14,plain,
( equalish(B,D)
| ~ product1(A,D,C)
| ~ product1(A,B,C) ),
inference(clausify,[status(thm)],[product1_right_cancellation]) ).
fof(product1_left_cancellation,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( equalish(VAR_0,VAR_3)
| ~ product1(VAR_3,VAR_1,VAR_2)
| ~ product1(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',product1_left_cancellation) ).
cnf(c_15,plain,
( equalish(A,D)
| ~ product1(D,B,C)
| ~ product1(A,B,C) ),
inference(clausify,[status(thm)],[product1_left_cancellation]) ).
fof(product2_total_function2,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( equalish(VAR_2,VAR_3)
| ~ product2(VAR_0,VAR_1,VAR_3)
| ~ product2(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',product2_total_function2) ).
cnf(c_16,plain,
( equalish(C,D)
| ~ product2(A,B,D)
| ~ product2(A,B,C) ),
inference(clausify,[status(thm)],[product2_total_function2]) ).
cnf(c_31,plain,
( ~ product2(A,B,e_1)
| ~ product2(A,B,e_2) ),
inference(resolve,[status(thm)],[c_16,c_10]) ).
cnf(c_32,plain,
( ~ product2(A,B,e_1)
| ~ product2(A,B,e_3) ),
inference(resolve,[status(thm)],[c_16,c_7]) ).
cnf(c_33,plain,
( ~ product2(A,B,e_2)
| ~ product2(A,B,e_3) ),
inference(resolve,[status(thm)],[c_16,c_6]) ).
cnf(c_36,plain,
( ~ product2(A,B,e_3)
| ~ product2(A,B,e_4) ),
inference(resolve,[status(thm)],[c_16,c_2]) ).
cnf(c_37,plain,
( ~ product1(e_1,A,B)
| ~ product1(e_2,A,B) ),
inference(resolve,[status(thm)],[c_15,c_10]) ).
cnf(c_38,plain,
( ~ product1(e_1,A,B)
| ~ product1(e_3,A,B) ),
inference(resolve,[status(thm)],[c_15,c_7]) ).
cnf(c_39,plain,
( ~ product1(e_2,A,B)
| ~ product1(e_3,A,B) ),
inference(resolve,[status(thm)],[c_15,c_6]) ).
cnf(c_41,plain,
( ~ product1(e_2,A,B)
| ~ product1(e_4,A,B) ),
inference(resolve,[status(thm)],[c_15,c_3]) ).
cnf(c_42,plain,
( ~ product1(e_3,A,B)
| ~ product1(e_4,A,B) ),
inference(resolve,[status(thm)],[c_15,c_2]) ).
cnf(c_43,plain,
( ~ product1(A,e_1,B)
| ~ product1(A,e_2,B) ),
inference(resolve,[status(thm)],[c_14,c_10]) ).
cnf(c_44,plain,
( ~ product1(A,e_1,B)
| ~ product1(A,e_3,B) ),
inference(resolve,[status(thm)],[c_14,c_7]) ).
cnf(c_45,plain,
( ~ product1(A,e_2,B)
| ~ product1(A,e_3,B) ),
inference(resolve,[status(thm)],[c_14,c_6]) ).
cnf(c_46,plain,
( ~ product1(A,e_1,B)
| ~ product1(A,e_4,B) ),
inference(resolve,[status(thm)],[c_14,c_4]) ).
cnf(c_47,plain,
( ~ product1(A,e_2,B)
| ~ product1(A,e_4,B) ),
inference(resolve,[status(thm)],[c_14,c_3]) ).
cnf(c_48,plain,
( ~ product1(A,e_3,B)
| ~ product1(A,e_4,B) ),
inference(resolve,[status(thm)],[c_14,c_2]) ).
fof(qg2a,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( product2(VAR_3,VAR_1,VAR_0)
| ~ product1(VAR_2,VAR_0,VAR_3)
| ~ product1(VAR_0,VAR_1,VAR_2) ),
file('theBenchmark.p',qg2a) ).
cnf(c_55,plain,
( product2(D,B,A)
| ~ product1(C,A,D)
| ~ product1(A,B,C) ),
inference(clausify,[status(thm)],[qg2a]) ).
fof(product2_idempotence,axiom,
! [VAR_0] : product2(VAR_0,VAR_0,VAR_0),
file('theBenchmark.p',product2_idempotence) ).
cnf(c_56,plain,
product2(A,A,A),
inference(clausify,[status(thm)],[product2_idempotence]) ).
fof(product1_idempotence,axiom,
! [VAR_0] : product1(VAR_0,VAR_0,VAR_0),
file('theBenchmark.p',product1_idempotence) ).
cnf(c_58,plain,
product1(A,A,A),
inference(clausify,[status(thm)],[product1_idempotence]) ).
fof(product1_total_function1,axiom,
! [VAR_0,VAR_1] :
( product1(VAR_0,VAR_1,e_4)
| product1(VAR_0,VAR_1,e_3)
| product1(VAR_0,VAR_1,e_2)
| product1(VAR_0,VAR_1,e_1)
| ~ group_element(VAR_1)
| ~ group_element(VAR_0) ),
file('theBenchmark.p',product1_total_function1) ).
cnf(c_59,plain,
( product1(A,B,e_4)
| product1(A,B,e_3)
| product1(A,B,e_2)
| product1(A,B,e_1)
| ~ group_element(B)
| ~ group_element(A) ),
inference(clausify,[status(thm)],[product1_total_function1]) ).
fof(element_4,axiom,
group_element(e_4),
file('theBenchmark.p',element_4) ).
cnf(c_60,plain,
group_element(e_4),
inference(clausify,[status(thm)],[element_4]) ).
fof(element_3,axiom,
group_element(e_3),
file('theBenchmark.p',element_3) ).
cnf(c_61,plain,
group_element(e_3),
inference(clausify,[status(thm)],[element_3]) ).
fof(element_2,axiom,
group_element(e_2),
file('theBenchmark.p',element_2) ).
cnf(c_62,plain,
group_element(e_2),
inference(clausify,[status(thm)],[element_2]) ).
fof(element_1,axiom,
group_element(e_1),
file('theBenchmark.p',element_1) ).
cnf(c_63,plain,
group_element(e_1),
inference(clausify,[status(thm)],[element_1]) ).
cnf(c_70,plain,
~ product2(e_4,e_4,e_3),
inference(resolve,[status(thm)],[c_56,c_36]) ).
cnf(c_91,plain,
~ product2(e_2,e_2,e_3),
inference(resolve,[status(thm)],[c_33,c_56]) ).
cnf(c_92,plain,
~ product2(e_1,e_1,e_3),
inference(resolve,[status(thm)],[c_32,c_56]) ).
cnf(c_93,plain,
~ product2(e_1,e_1,e_2),
inference(resolve,[status(thm)],[c_31,c_56]) ).
cnf(c_114,plain,
~ product1(e_4,e_3,e_4),
inference(resolve,[status(thm)],[c_58,c_48]) ).
cnf(c_117,plain,
~ product1(e_3,e_2,e_3),
inference(resolve,[status(thm)],[c_58,c_45]) ).
cnf(c_118,plain,
~ product1(e_3,e_1,e_3),
inference(resolve,[status(thm)],[c_58,c_44]) ).
cnf(c_119,plain,
~ product1(e_2,e_1,e_2),
inference(resolve,[status(thm)],[c_58,c_43]) ).
cnf(c_120,plain,
~ product1(e_3,e_4,e_4),
inference(resolve,[status(thm)],[c_58,c_42]) ).
cnf(c_121,plain,
~ product1(e_2,e_4,e_4),
inference(resolve,[status(thm)],[c_58,c_41]) ).
cnf(c_123,plain,
~ product1(e_2,e_3,e_3),
inference(resolve,[status(thm)],[c_58,c_39]) ).
cnf(c_132,plain,
~ product1(e_3,e_4,e_3),
inference(resolve,[status(thm)],[c_48,c_58]) ).
cnf(c_133,plain,
~ product1(e_2,e_4,e_2),
inference(resolve,[status(thm)],[c_47,c_58]) ).
cnf(c_135,plain,
~ product1(e_2,e_3,e_2),
inference(resolve,[status(thm)],[c_45,c_58]) ).
cnf(c_138,plain,
~ product1(e_4,e_3,e_3),
inference(resolve,[status(thm)],[c_42,c_58]) ).
cnf(c_141,plain,
~ product1(e_3,e_2,e_2),
inference(resolve,[status(thm)],[c_39,c_58]) ).
cnf(c_142,plain,
~ product1(e_3,e_1,e_1),
inference(resolve,[status(thm)],[c_38,c_58]) ).
cnf(c_143,plain,
~ product1(e_2,e_1,e_1),
inference(resolve,[status(thm)],[c_37,c_58]) ).
cnf(c_373,plain,
( product1(e_4,A,e_4)
| product1(e_4,A,e_3)
| product1(e_4,A,e_2)
| product1(e_4,A,e_1)
| ~ group_element(A) ),
inference(resolve,[status(thm)],[c_59,c_60]) ).
cnf(c_374,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(resolve,[status(thm)],[c_373,c_61]) ).
cnf(c_375,plain,
( product1(e_4,e_3,e_4)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(resolve,[status(thm)],[c_138,c_374]) ).
cnf(c_152,plain,
( product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1) ),
inference(resolve,[status(thm)],[c_114,c_375]) ).
cnf(c_376,plain,
( product1(e_3,A,e_4)
| product1(e_3,A,e_3)
| product1(e_3,A,e_2)
| product1(e_3,A,e_1)
| ~ group_element(A) ),
inference(resolve,[status(thm)],[c_59,c_61]) ).
cnf(c_377,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolve,[status(thm)],[c_376,c_60]) ).
cnf(c_378,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolve,[status(thm)],[c_132,c_377]) ).
cnf(c_153,plain,
( product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolve,[status(thm)],[c_120,c_378]) ).
cnf(c_379,plain,
( product1(e_3,A,e_4)
| product1(e_3,A,e_3)
| product1(e_3,A,e_2)
| product1(e_3,A,e_1)
| ~ group_element(A) ),
inference(resolve,[status(thm)],[c_59,c_61]) ).
cnf(c_380,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(resolve,[status(thm)],[c_379,c_62]) ).
cnf(c_381,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_1) ),
inference(resolve,[status(thm)],[c_141,c_380]) ).
cnf(c_160,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_1) ),
inference(resolve,[status(thm)],[c_117,c_381]) ).
cnf(c_382,plain,
( product1(e_2,A,e_4)
| product1(e_2,A,e_3)
| product1(e_2,A,e_2)
| product1(e_2,A,e_1)
| ~ group_element(A) ),
inference(resolve,[status(thm)],[c_59,c_62]) ).
cnf(c_383,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(resolve,[status(thm)],[c_382,c_61]) ).
cnf(c_384,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_1) ),
inference(resolve,[status(thm)],[c_135,c_383]) ).
cnf(c_162,plain,
( product1(e_2,e_3,e_4)
| product1(e_2,e_3,e_1) ),
inference(resolve,[status(thm)],[c_123,c_384]) ).
cnf(c_385,plain,
( product1(e_2,A,e_4)
| product1(e_2,A,e_3)
| product1(e_2,A,e_2)
| product1(e_2,A,e_1)
| ~ group_element(A) ),
inference(resolve,[status(thm)],[c_59,c_62]) ).
cnf(c_386,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(resolve,[status(thm)],[c_385,c_60]) ).
cnf(c_387,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_1) ),
inference(resolve,[status(thm)],[c_133,c_386]) ).
cnf(c_163,plain,
( product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_1) ),
inference(resolve,[status(thm)],[c_121,c_387]) ).
cnf(c_388,plain,
( product1(e_2,A,e_4)
| product1(e_2,A,e_3)
| product1(e_2,A,e_2)
| product1(e_2,A,e_1)
| ~ group_element(A) ),
inference(resolve,[status(thm)],[c_59,c_62]) ).
cnf(c_389,plain,
( product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1) ),
inference(resolve,[status(thm)],[c_388,c_63]) ).
cnf(c_390,plain,
( product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2) ),
inference(resolve,[status(thm)],[c_143,c_389]) ).
cnf(c_172,plain,
( product1(e_2,e_1,e_4)
| product1(e_2,e_1,e_3) ),
inference(resolve,[status(thm)],[c_119,c_390]) ).
cnf(c_391,plain,
( product1(e_3,A,e_4)
| product1(e_3,A,e_3)
| product1(e_3,A,e_2)
| product1(e_3,A,e_1)
| ~ group_element(A) ),
inference(resolve,[status(thm)],[c_59,c_61]) ).
cnf(c_392,plain,
( product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1) ),
inference(resolve,[status(thm)],[c_391,c_63]) ).
cnf(c_393,plain,
( product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(resolve,[status(thm)],[c_142,c_392]) ).
cnf(c_173,plain,
( product1(e_3,e_1,e_4)
| product1(e_3,e_1,e_2) ),
inference(resolve,[status(thm)],[c_118,c_393]) ).
cnf(c_394,plain,
( product1(e_3,e_2,e_1)
| product2(A,e_2,e_3)
| ~ product1(e_4,e_3,A) ),
inference(resolve,[status(thm)],[c_55,c_160]) ).
cnf(c_395,plain,
( product1(e_4,e_3,e_1)
| product1(e_3,e_2,e_1)
| product2(e_2,e_2,e_3) ),
inference(resolve,[status(thm)],[c_394,c_152]) ).
cnf(c_248,plain,
( product1(e_4,e_3,e_1)
| product1(e_3,e_2,e_1) ),
inference(resolve,[status(thm)],[c_91,c_395]) ).
cnf(c_396,plain,
( product1(e_3,e_4,e_1)
| product2(A,e_4,e_3)
| ~ product1(e_2,e_3,A) ),
inference(resolve,[status(thm)],[c_55,c_153]) ).
cnf(c_397,plain,
( product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1)
| product2(e_4,e_4,e_3) ),
inference(resolve,[status(thm)],[c_396,c_162]) ).
cnf(c_258,plain,
( product1(e_2,e_3,e_1)
| product1(e_3,e_4,e_1) ),
inference(resolve,[status(thm)],[c_70,c_397]) ).
cnf(c_262,plain,
( ~ product1(e_2,e_1,e_3)
| product1(e_2,e_4,e_1) ),
inference(resolve,[status(thm)],[c_163,c_46]) ).
cnf(c_398,plain,
( product1(e_2,e_3,e_1)
| ~ product1(e_2,e_1,e_4) ),
inference(resolve,[status(thm)],[c_44,c_162]) ).
cnf(c_277,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_3,e_1) ),
inference(resolve,[status(thm)],[c_398,c_172]) ).
cnf(c_399,plain,
( product1(e_3,e_1,e_2)
| ~ product1(e_2,e_1,e_4) ),
inference(resolve,[status(thm)],[c_39,c_173]) ).
cnf(c_283,plain,
( product1(e_2,e_1,e_3)
| product1(e_3,e_1,e_2) ),
inference(resolve,[status(thm)],[c_399,c_172]) ).
cnf(c_319,plain,
( ~ product1(e_2,e_3,e_1)
| product1(e_3,e_2,e_1) ),
inference(resolve,[status(thm)],[c_248,c_41]) ).
cnf(c_331,plain,
( ~ product1(e_2,e_4,e_1)
| product1(e_2,e_3,e_1) ),
inference(resolve,[status(thm)],[c_258,c_39]) ).
cnf(c_400,plain,
( product1(e_2,e_1,e_3)
| product2(A,e_1,e_3)
| ~ product1(e_2,e_3,A) ),
inference(resolve,[status(thm)],[c_55,c_283]) ).
cnf(c_401,plain,
( product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_3)
| product2(e_1,e_1,e_3) ),
inference(resolve,[status(thm)],[c_400,c_277]) ).
cnf(c_402,plain,
( product1(e_2,e_1,e_3)
| product2(e_1,e_1,e_3) ),
inference(copy,[status(thm)],[c_401]) ).
cnf(c_362,plain,
product1(e_2,e_1,e_3),
inference(resolve,[status(thm)],[c_92,c_402]) ).
cnf(c_364,plain,
product1(e_2,e_4,e_1),
inference(resolve,[status(thm)],[c_362,c_262]) ).
cnf(c_366,plain,
product1(e_2,e_3,e_1),
inference(resolve,[status(thm)],[c_364,c_331]) ).
cnf(c_367,plain,
product1(e_3,e_2,e_1),
inference(resolve,[status(thm)],[c_366,c_319]) ).
cnf(c_403,plain,
( product2(A,e_1,e_2)
| ~ product1(e_3,e_2,A) ),
inference(resolve,[status(thm)],[c_55,c_362]) ).
cnf(c_404,plain,
~ product1(e_3,e_2,e_1),
inference(resolve,[status(thm)],[c_403,c_93]) ).
cnf(c_372,plain,
$false,
inference(resolve,[status(thm)],[c_367,c_404]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.39 % Computer : n003.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Fri Sep 25 14:27:38 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.40 % Process 378638 was started by sandbox2 on n003,
% 0.14/0.40 % Fri Sep 25 14:27:38 2026
% 0.14/0.40 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.14/0.40
% 0.14/0.40 % From the command line: assign(max_seconds, 300).
% 0.14/0.47
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.47
% 0.14/0.47 % Proof 1 at 0.03 (+ 0.01) seconds.
% 0.14/0.47 % Length of proof is 69.
% 0.14/0.47 % Level of proof is 9.
% 0.14/0.47 % Maximum clause weight is 25.000.
% 0.14/0.47 % Given clauses 187.
% 0.14/0.47
% 0.14/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------