%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP300-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n017.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 07:28:35 AM UTC 2026
% Result : Unsatisfiable 2.33s 0.72s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 11
% Syntax : Number of formulae : 100 ( 24 unt; 0 def)
% Number of atoms : 268 ( 267 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 293 ( 125 ~; 168 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(left_identity,axiom,
! [VAR_0] : multiply(identity,VAR_0) = VAR_0,
file('theBenchmark.p',left_identity) ).
cnf(c_1,plain,
multiply(identity,A) = A,
inference(clausify,[status(thm)],[left_identity]) ).
fof(left_inverse,axiom,
! [VAR_0] : multiply(inverse(VAR_0),VAR_0) = identity,
file('theBenchmark.p',left_inverse) ).
cnf(c_2,plain,
multiply(inverse(A),A) = identity,
inference(clausify,[status(thm)],[left_inverse]) ).
fof(associativity,axiom,
! [VAR_0,VAR_1,VAR_2] : multiply(multiply(VAR_0,VAR_1),VAR_2) = multiply(VAR_0,multiply(VAR_1,VAR_2)),
file('theBenchmark.p',associativity) ).
cnf(c_3,plain,
multiply(multiply(A,B),C) = multiply(A,multiply(B,C)),
inference(clausify,[status(thm)],[associativity]) ).
fof(prove_this_1,axiom,
( multiply(sk_c5,sk_c4) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c4 ),
file('theBenchmark.p',prove_this_1) ).
cnf(c_4,plain,
( multiply(sk_c5,sk_c4) = sk_c6
| multiply(sk_c6,sk_c5) = sk_c4 ),
inference(clausify,[status(thm)],[prove_this_1]) ).
fof(prove_this_8,axiom,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('theBenchmark.p',prove_this_8) ).
cnf(c_11,plain,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(clausify,[status(thm)],[prove_this_8]) ).
fof(prove_this_9,axiom,
( inverse(sk_c2) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('theBenchmark.p',prove_this_9) ).
cnf(c_12,plain,
( inverse(sk_c2) = sk_c6
| multiply(sk_c1,sk_c6) = sk_c5 ),
inference(clausify,[status(thm)],[prove_this_9]) ).
fof(prove_this_15,axiom,
( inverse(sk_c2) = sk_c6
| inverse(sk_c1) = sk_c6 ),
file('theBenchmark.p',prove_this_15) ).
cnf(c_18,plain,
( inverse(sk_c2) = sk_c6
| inverse(sk_c1) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_15]) ).
fof(prove_this_16,axiom,
( inverse(sk_c6) = sk_c4
| inverse(sk_c1) = sk_c6 ),
file('theBenchmark.p',prove_this_16) ).
cnf(c_19,plain,
( inverse(sk_c6) = sk_c4
| inverse(sk_c1) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_16]) ).
fof(prove_this_20,axiom,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('theBenchmark.p',prove_this_20) ).
cnf(c_23,plain,
( multiply(sk_c2,sk_c6) = sk_c5
| multiply(sk_c4,sk_c6) = sk_c5 ),
inference(clausify,[status(thm)],[prove_this_20]) ).
fof(prove_this_22,axiom,
( inverse(sk_c6) = sk_c4
| multiply(sk_c4,sk_c6) = sk_c5 ),
file('theBenchmark.p',prove_this_22) ).
cnf(c_25,plain,
( inverse(sk_c6) = sk_c4
| multiply(sk_c4,sk_c6) = sk_c5 ),
inference(clausify,[status(thm)],[prove_this_22]) ).
fof(prove_this_25,axiom,
! [VAR_0,VAR_1,VAR_2] :
( inverse(VAR_2) != sk_c4
| multiply(VAR_2,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| inverse(VAR_1) != sk_c6
| multiply(VAR_1,sk_c6) != sk_c5
| multiply(sk_c5,sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| inverse(VAR_0) != sk_c6
| multiply(VAR_0,sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c4 ),
file('theBenchmark.p',prove_this_25) ).
cnf(c_28,plain,
( inverse(C) != sk_c4
| multiply(C,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| inverse(B) != sk_c6
| multiply(B,sk_c6) != sk_c5
| multiply(sk_c5,sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c4 ),
inference(clausify,[status(thm)],[prove_this_25]) ).
cnf(c_29,plain,
( inverse(B) != sk_c4
| multiply(B,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| inverse(A) != sk_c6
| multiply(A,sk_c6) != sk_c5
| multiply(sk_c5,sk_c4) != sk_c6
| inverse(sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c4 ),
inference(factor,[status(thm)],[c_28]) ).
cnf(c_1014,plain,
( inverse(A) != sk_c4
| multiply(A,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| inverse(sk_c4) != sk_c6
| multiply(sk_c5,sk_c4) != sk_c6
| inverse(sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c4 ),
inference(factor,[status(thm)],[c_29]) ).
cnf(c_32,plain,
( inverse(A) != sk_c4
| multiply(A,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| inverse(sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c4 ),
inference(copy,[status(thm)],[c_1014]) ).
cnf(c_34,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| inverse(sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| multiply(sk_c6,sk_c5) != sk_c4 ),
inference(factor,[status(thm)],[c_32]) ).
cnf(c_1015,plain,
multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_1016,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_1015]) ).
cnf(c_35,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(copy,[status(thm)],[c_1016]) ).
cnf(c_84,plain,
( multiply(sk_c6,sk_c1) = identity
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_18,c_2]) ).
cnf(c_85,plain,
( multiply(sk_c6,sk_c2) = identity
| inverse(sk_c1) = sk_c6 ),
inference(paramod,[status(thm)],[c_18,c_2]) ).
cnf(c_104,plain,
( multiply(sk_c4,sk_c6) = identity
| multiply(sk_c4,sk_c6) = sk_c5 ),
inference(paramod,[status(thm)],[c_25,c_2]) ).
cnf(c_115,plain,
multiply(inverse(inverse(A)),identity) = A,
inference(paramod,[status(thm)],[c_2,c_35]) ).
cnf(c_118,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c4
| multiply(sk_c6,sk_c5) = sk_c4 ),
inference(paramod,[status(thm)],[c_4,c_35]) ).
cnf(c_159,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c6
| inverse(sk_c6) = sk_c4 ),
inference(paramod,[status(thm)],[c_25,c_35]) ).
cnf(c_165,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(paramod,[status(thm)],[c_35,c_35]) ).
cnf(c_166,plain,
multiply(A,identity) = A,
inference(paramod,[status(thm)],[c_165,c_115]) ).
cnf(c_172,plain,
inverse(identity) = identity,
inference(paramod,[status(thm)],[c_166,c_2]) ).
cnf(c_1017,plain,
( multiply(inverse(sk_c6),identity) = sk_c1
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_84,c_35]) ).
cnf(c_176,plain,
( inverse(sk_c6) = sk_c1
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_166,c_1017]) ).
cnf(c_178,plain,
( multiply(sk_c1,sk_c6) = identity
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_176,c_2]) ).
cnf(c_1018,plain,
( multiply(inverse(sk_c6),identity) = sk_c2
| inverse(sk_c1) = sk_c6 ),
inference(paramod,[status(thm)],[c_85,c_35]) ).
cnf(c_183,plain,
( inverse(sk_c6) = sk_c2
| inverse(sk_c1) = sk_c6 ),
inference(paramod,[status(thm)],[c_166,c_1018]) ).
cnf(c_1019,plain,
( sk_c2 = sk_c4
| inverse(sk_c1) = sk_c6
| inverse(sk_c1) = sk_c6 ),
inference(paramod,[status(thm)],[c_183,c_19]) ).
cnf(c_198,plain,
( sk_c2 = sk_c4
| inverse(sk_c1) = sk_c6 ),
inference(copy,[status(thm)],[c_1019]) ).
cnf(c_201,plain,
( multiply(sk_c6,sk_c1) = identity
| sk_c2 = sk_c4 ),
inference(paramod,[status(thm)],[c_198,c_2]) ).
cnf(c_1020,plain,
( multiply(inverse(sk_c6),identity) = sk_c1
| sk_c2 = sk_c4 ),
inference(paramod,[status(thm)],[c_201,c_35]) ).
cnf(c_216,plain,
( inverse(sk_c6) = sk_c1
| sk_c2 = sk_c4 ),
inference(paramod,[status(thm)],[c_166,c_1020]) ).
cnf(c_219,plain,
( multiply(sk_c1,sk_c6) = identity
| sk_c2 = sk_c4 ),
inference(paramod,[status(thm)],[c_216,c_2]) ).
cnf(c_1021,plain,
( inverse(sk_c2) = sk_c6
| identity = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(paramod,[status(thm)],[c_178,c_12]) ).
cnf(c_380,plain,
( identity = sk_c5
| inverse(sk_c2) = sk_c6 ),
inference(copy,[status(thm)],[c_1021]) ).
cnf(c_383,plain,
( multiply(sk_c6,sk_c2) = identity
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_380,c_2]) ).
cnf(c_1022,plain,
( multiply(inverse(sk_c6),identity) = sk_c2
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_383,c_35]) ).
cnf(c_390,plain,
( inverse(sk_c6) = sk_c2
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_166,c_1022]) ).
cnf(c_400,plain,
( multiply(sk_c2,sk_c6) = identity
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_390,c_2]) ).
cnf(c_1023,plain,
( identity = sk_c5
| multiply(sk_c1,sk_c6) = sk_c5
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_400,c_11]) ).
cnf(c_467,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| identity = sk_c5 ),
inference(copy,[status(thm)],[c_1023]) ).
cnf(c_1024,plain,
( identity = sk_c5
| multiply(sk_c4,sk_c6) = sk_c5
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_400,c_23]) ).
cnf(c_469,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| identity = sk_c5 ),
inference(copy,[status(thm)],[c_1024]) ).
cnf(c_1025,plain,
( sk_c5 = identity
| sk_c2 = sk_c4
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_467,c_219]) ).
cnf(c_1026,plain,
( identity = sk_c5
| sk_c2 = sk_c4
| identity = sk_c5 ),
inference(copy,[status(thm)],[c_1025]) ).
cnf(c_542,plain,
( sk_c2 = sk_c4
| identity = sk_c5 ),
inference(copy,[status(thm)],[c_1026]) ).
cnf(c_1027,plain,
( multiply(sk_c4,sk_c6) = identity
| identity = sk_c5
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_542,c_400]) ).
cnf(c_554,plain,
( multiply(sk_c4,sk_c6) = identity
| identity = sk_c5 ),
inference(copy,[status(thm)],[c_1027]) ).
cnf(c_1028,plain,
( identity = sk_c5
| identity = sk_c5
| identity = sk_c5 ),
inference(paramod,[status(thm)],[c_554,c_469]) ).
cnf(c_1029,plain,
( identity = sk_c5
| identity = sk_c5 ),
inference(copy,[status(thm)],[c_1028]) ).
cnf(c_870,plain,
identity = sk_c5,
inference(copy,[status(thm)],[c_1029]) ).
cnf(c_1030,plain,
inverse(sk_c5) = identity,
inference(paramod,[status(thm)],[c_870,c_172]) ).
cnf(c_950,plain,
inverse(sk_c5) = sk_c5,
inference(paramod,[status(thm)],[c_870,c_1030]) ).
cnf(c_951,plain,
multiply(A,sk_c5) = A,
inference(paramod,[status(thm)],[c_870,c_166]) ).
cnf(c_1031,plain,
( multiply(sk_c4,sk_c6) = sk_c5
| multiply(sk_c4,sk_c6) = sk_c5 ),
inference(paramod,[status(thm)],[c_870,c_104]) ).
cnf(c_953,plain,
multiply(sk_c4,sk_c6) = sk_c5,
inference(copy,[status(thm)],[c_1031]) ).
cnf(c_962,plain,
multiply(sk_c5,A) = A,
inference(paramod,[status(thm)],[c_870,c_1]) ).
cnf(c_1032,plain,
( multiply(inverse(sk_c5),sk_c6) = sk_c4
| sk_c6 = sk_c4 ),
inference(paramod,[status(thm)],[c_951,c_118]) ).
cnf(c_1033,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c6 = sk_c4 ),
inference(paramod,[status(thm)],[c_950,c_1032]) ).
cnf(c_1034,plain,
( sk_c6 = sk_c4
| sk_c6 = sk_c4 ),
inference(paramod,[status(thm)],[c_962,c_1033]) ).
cnf(c_1035,plain,
( sk_c6 = sk_c4
| sk_c4 = sk_c6 ),
inference(copy,[status(thm)],[c_1034]) ).
cnf(c_1036,plain,
( sk_c4 = sk_c6
| sk_c4 = sk_c6 ),
inference(copy,[status(thm)],[c_1035]) ).
cnf(c_972,plain,
sk_c4 = sk_c6,
inference(copy,[status(thm)],[c_1036]) ).
cnf(c_1037,plain,
( multiply(inverse(sk_c4),sk_c5) = sk_c6
| inverse(sk_c6) = sk_c6 ),
inference(paramod,[status(thm)],[c_972,c_159]) ).
cnf(c_1038,plain,
( multiply(inverse(sk_c6),sk_c5) = sk_c6
| inverse(sk_c6) = sk_c6 ),
inference(paramod,[status(thm)],[c_972,c_1037]) ).
cnf(c_1039,plain,
( inverse(sk_c6) = sk_c6
| inverse(sk_c6) = sk_c6 ),
inference(paramod,[status(thm)],[c_951,c_1038]) ).
cnf(c_980,plain,
inverse(sk_c6) = sk_c6,
inference(copy,[status(thm)],[c_1039]) ).
cnf(c_1040,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| inverse(sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| sk_c6 != sk_c4 ),
inference(paramod,[status(thm)],[c_951,c_34]) ).
cnf(c_1041,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| inverse(sk_c4) != sk_c6
| multiply(sk_c4,sk_c6) != sk_c5
| sk_c6 != sk_c6 ),
inference(paramod,[status(thm)],[c_972,c_1040]) ).
cnf(c_1042,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| inverse(sk_c4) != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6 ),
inference(paramod,[status(thm)],[c_972,c_1041]) ).
cnf(c_1043,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| inverse(sk_c6) != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6 ),
inference(paramod,[status(thm)],[c_972,c_1042]) ).
cnf(c_1044,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| multiply(sk_c5,sk_c4) != sk_c6
| sk_c6 != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6 ),
inference(paramod,[status(thm)],[c_980,c_1043]) ).
cnf(c_1045,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| multiply(sk_c5,sk_c6) != sk_c6
| sk_c6 != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6 ),
inference(paramod,[status(thm)],[c_972,c_1044]) ).
cnf(c_1046,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| inverse(sk_c6) != sk_c4
| sk_c6 != sk_c6
| sk_c6 != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6 ),
inference(paramod,[status(thm)],[c_962,c_1045]) ).
cnf(c_1047,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| sk_c6 != sk_c4
| sk_c6 != sk_c6
| sk_c6 != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6 ),
inference(paramod,[status(thm)],[c_980,c_1046]) ).
cnf(c_1048,plain,
( multiply(sk_c6,sk_c4) != sk_c5
| sk_c6 != sk_c6
| sk_c6 != sk_c6
| sk_c6 != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6 ),
inference(paramod,[status(thm)],[c_972,c_1047]) ).
cnf(c_1049,plain,
( multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6
| sk_c6 != sk_c6
| sk_c6 != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6 ),
inference(paramod,[status(thm)],[c_972,c_1048]) ).
cnf(c_1050,plain,
( multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6
| sk_c6 != sk_c6
| sk_c6 != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5 ),
inference(copy,[status(thm)],[c_1049]) ).
cnf(c_1051,plain,
( multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6
| sk_c6 != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5 ),
inference(copy,[status(thm)],[c_1050]) ).
cnf(c_1052,plain,
( multiply(sk_c6,sk_c6) != sk_c5
| sk_c6 != sk_c6
| multiply(sk_c6,sk_c6) != sk_c5 ),
inference(copy,[status(thm)],[c_1051]) ).
cnf(c_1053,plain,
( multiply(sk_c6,sk_c6) != sk_c5
| multiply(sk_c6,sk_c6) != sk_c5 ),
inference(copy,[status(thm)],[c_1052]) ).
cnf(c_998,plain,
multiply(sk_c6,sk_c6) != sk_c5,
inference(copy,[status(thm)],[c_1053]) ).
cnf(c_1054,plain,
multiply(sk_c6,sk_c6) = sk_c5,
inference(paramod,[status(thm)],[c_972,c_953]) ).
cnf(c_1013,plain,
$false,
inference(resolve,[status(thm)],[c_998,c_1054]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP300-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n017.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 14:39:17 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.38 % Process 2515227 was started by sandbox2 on n017,
% 0.09/0.38 % Fri Sep 25 14:39:17 2026
% 0.09/0.38 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.38
% 0.09/0.38 % From the command line: assign(max_seconds, 300).
% 2.33/0.72
% 2.33/0.72 % SZS status Unsatisfiable for theBenchmark
% 2.33/0.72
% 2.33/0.72 % Proof 1 at 0.24 (+ 0.08) seconds.
% 2.33/0.72 % Length of proof is 48.
% 2.33/0.72 % Level of proof is 18.
% 2.33/0.72 % Maximum clause weight is 50.000.
% 2.33/0.72 % Given clauses 121.
% 2.33/0.72
% 2.33/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
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