%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP222-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /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 : Sun Sep 27 07:28:24 AM UTC 2026
% Result : Unsatisfiable 23.59s 3.82s
% Output : CNFRefutation 23.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 12
% Syntax : Number of formulae : 109 ( 24 unt; 0 def)
% Number of atoms : 265 ( 264 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 269 ( 113 ~; 156 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 10 !; 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_3,axiom,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('theBenchmark.p',prove_this_3) ).
cnf(c_6,plain,
( inverse(sk_c5) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_3]) ).
fof(prove_this_4,axiom,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('theBenchmark.p',prove_this_4) ).
cnf(c_7,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_4]) ).
fof(prove_this_7,axiom,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('theBenchmark.p',prove_this_7) ).
cnf(c_10,plain,
( inverse(sk_c5) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_7]) ).
fof(prove_this_8,axiom,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
file('theBenchmark.p',prove_this_8) ).
cnf(c_11,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| multiply(sk_c1,sk_c6) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_8]) ).
fof(prove_this_9,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c2,sk_c3) = sk_c6 ),
file('theBenchmark.p',prove_this_9) ).
cnf(c_12,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c2,sk_c3) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_9]) ).
fof(prove_this_10,axiom,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c6 ),
file('theBenchmark.p',prove_this_10) ).
cnf(c_13,plain,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c3) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_10]) ).
fof(prove_this_13,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c3 ),
file('theBenchmark.p',prove_this_13) ).
cnf(c_16,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c2) = sk_c3 ),
inference(clausify,[status(thm)],[prove_this_13]) ).
fof(prove_this_14,axiom,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c3 ),
file('theBenchmark.p',prove_this_14) ).
cnf(c_17,plain,
( inverse(sk_c4) = sk_c7
| inverse(sk_c2) = sk_c3 ),
inference(clausify,[status(thm)],[prove_this_14]) ).
fof(prove_this_21,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( multiply(VAR_4,sk_c6) != sk_c7
| inverse(VAR_4) != sk_c7
| inverse(VAR_3) != sk_c7
| multiply(VAR_3,sk_c7) != sk_c6
| multiply(VAR_2,sk_c7) != sk_c6
| inverse(VAR_1) != VAR_2
| multiply(VAR_1,VAR_2) != sk_c6
| multiply(VAR_0,sk_c6) != sk_c7
| inverse(VAR_0) != sk_c7 ),
file('theBenchmark.p',prove_this_21) ).
cnf(c_24,plain,
( multiply(E,sk_c6) != sk_c7
| inverse(E) != sk_c7
| inverse(D) != sk_c7
| multiply(D,sk_c7) != sk_c6
| multiply(C,sk_c7) != sk_c6
| inverse(B) != C
| multiply(B,C) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c7 ),
inference(clausify,[status(thm)],[prove_this_21]) ).
cnf(c_8017,plain,
( multiply(A,sk_c6) != sk_c7
| inverse(D) != sk_c7
| multiply(D,sk_c7) != sk_c6
| multiply(C,sk_c7) != sk_c6
| inverse(B) != C
| multiply(B,C) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c7 ),
inference(factor,[status(thm)],[c_24]) ).
cnf(c_27,plain,
( inverse(D) != sk_c7
| multiply(D,sk_c7) != sk_c6
| multiply(C,sk_c7) != sk_c6
| inverse(B) != C
| multiply(B,C) != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c7 ),
inference(copy,[status(thm)],[c_8017]) ).
cnf(c_8018,plain,
multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_8019,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_8018]) ).
cnf(c_37,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(copy,[status(thm)],[c_8019]) ).
cnf(c_40,plain,
( multiply(sk_c7,sk_c1) = identity
| inverse(sk_c5) = sk_c7 ),
inference(paramod,[status(thm)],[c_6,c_2]) ).
cnf(c_50,plain,
( multiply(sk_c7,sk_c4) = identity
| multiply(sk_c2,sk_c3) = sk_c6 ),
inference(paramod,[status(thm)],[c_13,c_2]) ).
cnf(c_54,plain,
( multiply(sk_c3,sk_c2) = identity
| multiply(sk_c4,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_16,c_2]) ).
cnf(c_55,plain,
( multiply(sk_c3,sk_c2) = identity
| inverse(sk_c4) = sk_c7 ),
inference(paramod,[status(thm)],[c_17,c_2]) ).
cnf(c_102,plain,
( inverse(C) != sk_c7
| multiply(C,sk_c7) != sk_c6
| multiply(B,sk_c7) != sk_c6
| inverse(inverse(B)) != B
| identity != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c7 ),
inference(paramod,[status(thm)],[c_2,c_27]) ).
cnf(c_218,plain,
( multiply(A,sk_c7) != sk_c6
| multiply(B,sk_c7) != sk_c6
| inverse(inverse(B)) != B
| identity != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c7 ),
inference(factor,[status(thm)],[c_102]) ).
cnf(c_317,plain,
( multiply(A,sk_c7) != sk_c6
| inverse(inverse(A)) != A
| identity != sk_c6
| multiply(A,sk_c6) != sk_c7
| inverse(A) != sk_c7 ),
inference(factor,[status(thm)],[c_218]) ).
cnf(c_417,plain,
multiply(inverse(inverse(A)),identity) = A,
inference(paramod,[status(thm)],[c_2,c_37]) ).
cnf(c_443,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(paramod,[status(thm)],[c_37,c_37]) ).
cnf(c_444,plain,
multiply(A,identity) = A,
inference(paramod,[status(thm)],[c_443,c_417]) ).
cnf(c_547,plain,
( multiply(sk_c7,sk_c5) = identity
| multiply(sk_c7,sk_c1) = identity ),
inference(paramod,[status(thm)],[c_40,c_2]) ).
cnf(c_563,plain,
( multiply(sk_c7,sk_c4) = identity
| multiply(sk_c3,sk_c2) = identity ),
inference(paramod,[status(thm)],[c_55,c_2]) ).
cnf(c_8020,plain,
( multiply(inverse(sk_c3),identity) = sk_c2
| multiply(sk_c7,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_563,c_37]) ).
cnf(c_1085,plain,
( inverse(sk_c3) = sk_c2
| multiply(sk_c7,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_444,c_8020]) ).
cnf(c_1093,plain,
( multiply(sk_c2,sk_c3) = identity
| multiply(sk_c7,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_1085,c_2]) ).
cnf(c_8021,plain,
( multiply(sk_c7,sk_c4) = identity
| identity = sk_c6
| multiply(sk_c7,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_1093,c_50]) ).
cnf(c_1464,plain,
( identity = sk_c6
| multiply(sk_c7,sk_c4) = identity ),
inference(copy,[status(thm)],[c_8021]) ).
cnf(c_8022,plain,
( multiply(inverse(sk_c7),identity) = sk_c4
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_1464,c_37]) ).
cnf(c_1472,plain,
( inverse(sk_c7) = sk_c4
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_444,c_8022]) ).
cnf(c_1482,plain,
( multiply(sk_c4,sk_c7) = identity
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_1472,c_2]) ).
cnf(c_8023,plain,
( multiply(sk_c3,sk_c2) = identity
| identity = sk_c6
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_1482,c_54]) ).
cnf(c_1910,plain,
( multiply(sk_c3,sk_c2) = identity
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_8023]) ).
cnf(c_8024,plain,
( multiply(inverse(sk_c3),identity) = sk_c2
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_1910,c_37]) ).
cnf(c_2957,plain,
( inverse(sk_c3) = sk_c2
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_444,c_8024]) ).
cnf(c_2970,plain,
( multiply(sk_c2,sk_c3) = identity
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_2957,c_2]) ).
cnf(c_8025,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| identity = sk_c6
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_2970,c_12]) ).
cnf(c_3597,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_8025]) ).
cnf(c_8026,plain,
( sk_c6 = identity
| identity = sk_c6
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_3597,c_1482]) ).
cnf(c_8027,plain,
( identity = sk_c6
| identity = sk_c6
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_8026]) ).
cnf(c_8028,plain,
( identity = sk_c6
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_8027]) ).
cnf(c_3703,plain,
identity = sk_c6,
inference(copy,[status(thm)],[c_8028]) ).
cnf(c_8029,plain,
( multiply(sk_c7,sk_c5) = identity
| multiply(sk_c7,sk_c1) = sk_c6 ),
inference(paramod,[status(thm)],[c_3703,c_547]) ).
cnf(c_5246,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c7,sk_c1) = sk_c6 ),
inference(paramod,[status(thm)],[c_3703,c_8029]) ).
cnf(c_5296,plain,
multiply(A,sk_c6) = A,
inference(paramod,[status(thm)],[c_3703,c_444]) ).
cnf(c_8030,plain,
( multiply(A,sk_c7) != sk_c6
| inverse(inverse(A)) != A
| identity != sk_c6
| A != sk_c7
| inverse(A) != sk_c7 ),
inference(paramod,[status(thm)],[c_5296,c_317]) ).
cnf(c_8031,plain,
( multiply(A,sk_c7) != sk_c6
| inverse(inverse(A)) != A
| sk_c6 != sk_c6
| A != sk_c7
| inverse(A) != sk_c7 ),
inference(paramod,[status(thm)],[c_3703,c_8030]) ).
cnf(c_8032,plain,
( multiply(A,sk_c7) != sk_c6
| inverse(inverse(A)) != A
| sk_c6 != sk_c6
| sk_c7 != A
| inverse(A) != sk_c7 ),
inference(copy,[status(thm)],[c_8031]) ).
cnf(c_5299,plain,
( multiply(A,sk_c7) != sk_c6
| inverse(inverse(A)) != A
| sk_c7 != A
| inverse(A) != sk_c7 ),
inference(copy,[status(thm)],[c_8032]) ).
cnf(c_5321,plain,
multiply(inverse(A),A) = sk_c6,
inference(paramod,[status(thm)],[c_3703,c_2]) ).
cnf(c_8033,plain,
( multiply(sk_c5,sk_c6) = sk_c7
| sk_c1 = sk_c7 ),
inference(paramod,[status(thm)],[c_5296,c_11]) ).
cnf(c_6705,plain,
( sk_c5 = sk_c7
| sk_c1 = sk_c7 ),
inference(paramod,[status(thm)],[c_5296,c_8033]) ).
cnf(c_6706,plain,
( inverse(sk_c5) = sk_c7
| sk_c1 = sk_c7 ),
inference(paramod,[status(thm)],[c_5296,c_10]) ).
cnf(c_6709,plain,
( sk_c5 = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(paramod,[status(thm)],[c_5296,c_7]) ).
cnf(c_8034,plain,
( sk_c5 = sk_c7
| inverse(sk_c7) = sk_c7
| sk_c5 = sk_c7 ),
inference(paramod,[status(thm)],[c_6705,c_6709]) ).
cnf(c_6943,plain,
( inverse(sk_c7) = sk_c7
| sk_c5 = sk_c7 ),
inference(copy,[status(thm)],[c_8034]) ).
cnf(c_8035,plain,
multiply(A,sk_c6) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_443,c_5296]) ).
cnf(c_8036,plain,
A = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_5296,c_8035]) ).
cnf(c_7583,plain,
inverse(inverse(A)) = A,
inference(copy,[status(thm)],[c_8036]) ).
cnf(c_8037,plain,
( multiply(A,sk_c7) != sk_c6
| A != A
| sk_c7 != A
| inverse(A) != sk_c7 ),
inference(paramod,[status(thm)],[c_7583,c_5299]) ).
cnf(c_7767,plain,
( multiply(A,sk_c7) != sk_c6
| sk_c7 != A
| inverse(A) != sk_c7 ),
inference(copy,[status(thm)],[c_8037]) ).
cnf(c_8038,plain,
( sk_c7 = inverse(sk_c7)
| sk_c5 = sk_c7 ),
inference(copy,[status(thm)],[c_6943]) ).
cnf(c_8039,plain,
( sk_c5 = sk_c7
| multiply(inverse(sk_c7),sk_c7) != sk_c6
| inverse(inverse(sk_c7)) != sk_c7 ),
inference(resolve,[status(thm)],[c_7767,c_8038]) ).
cnf(c_8040,plain,
( sk_c5 = sk_c7
| multiply(inverse(sk_c7),sk_c7) != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_7583,c_8039]) ).
cnf(c_8041,plain,
( sk_c5 = sk_c7
| sk_c6 != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_5321,c_8040]) ).
cnf(c_8042,plain,
( sk_c5 = sk_c7
| sk_c6 != sk_c6 ),
inference(copy,[status(thm)],[c_8041]) ).
cnf(c_7974,plain,
sk_c5 = sk_c7,
inference(copy,[status(thm)],[c_8042]) ).
cnf(c_8043,plain,
( sk_c7 = inverse(sk_c5)
| sk_c1 = sk_c7 ),
inference(copy,[status(thm)],[c_6706]) ).
cnf(c_8044,plain,
( sk_c1 = sk_c7
| multiply(inverse(sk_c5),sk_c7) != sk_c6
| inverse(inverse(sk_c5)) != sk_c7 ),
inference(resolve,[status(thm)],[c_7767,c_8043]) ).
cnf(c_8045,plain,
( sk_c1 = sk_c7
| multiply(inverse(sk_c5),sk_c7) != sk_c6
| inverse(inverse(sk_c7)) != sk_c7 ),
inference(paramod,[status(thm)],[c_7974,c_8044]) ).
cnf(c_8046,plain,
( sk_c1 = sk_c7
| multiply(inverse(sk_c5),sk_c7) != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_7583,c_8045]) ).
cnf(c_8047,plain,
( sk_c1 = sk_c7
| multiply(inverse(sk_c7),sk_c7) != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_7974,c_8046]) ).
cnf(c_8048,plain,
( sk_c1 = sk_c7
| sk_c6 != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_5321,c_8047]) ).
cnf(c_8049,plain,
( sk_c1 = sk_c7
| sk_c6 != sk_c6 ),
inference(copy,[status(thm)],[c_8048]) ).
cnf(c_7976,plain,
sk_c1 = sk_c7,
inference(copy,[status(thm)],[c_8049]) ).
cnf(c_8050,plain,
( inverse(sk_c5) = sk_c7
| sk_c7 = inverse(sk_c1) ),
inference(copy,[status(thm)],[c_6]) ).
cnf(c_8051,plain,
( inverse(sk_c5) = sk_c7
| multiply(inverse(sk_c1),sk_c7) != sk_c6
| inverse(inverse(sk_c1)) != sk_c7 ),
inference(resolve,[status(thm)],[c_7767,c_8050]) ).
cnf(c_8052,plain,
( inverse(sk_c5) = sk_c7
| multiply(inverse(sk_c1),sk_c7) != sk_c6
| inverse(inverse(sk_c7)) != sk_c7 ),
inference(paramod,[status(thm)],[c_7976,c_8051]) ).
cnf(c_8053,plain,
( inverse(sk_c5) = sk_c7
| multiply(inverse(sk_c1),sk_c7) != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_7583,c_8052]) ).
cnf(c_8054,plain,
( inverse(sk_c5) = sk_c7
| multiply(inverse(sk_c7),sk_c7) != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_7976,c_8053]) ).
cnf(c_8055,plain,
( inverse(sk_c5) = sk_c7
| sk_c6 != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_5321,c_8054]) ).
cnf(c_8056,plain,
( inverse(sk_c7) = sk_c7
| sk_c6 != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_7974,c_8055]) ).
cnf(c_8057,plain,
( inverse(sk_c7) = sk_c7
| sk_c6 != sk_c6 ),
inference(copy,[status(thm)],[c_8056]) ).
cnf(c_7988,plain,
inverse(sk_c7) = sk_c7,
inference(copy,[status(thm)],[c_8057]) ).
cnf(c_8058,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| inverse(sk_c7) != sk_c7 ),
inference(xxres,[status(thm)],[c_7767]) ).
cnf(c_8059,plain,
( multiply(sk_c7,sk_c7) != sk_c6
| sk_c7 != sk_c7 ),
inference(paramod,[status(thm)],[c_7988,c_8058]) ).
cnf(c_7991,plain,
multiply(sk_c7,sk_c7) != sk_c6,
inference(copy,[status(thm)],[c_8059]) ).
cnf(c_8060,plain,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_7976,c_5246]) ).
cnf(c_8061,plain,
( multiply(sk_c7,sk_c7) = sk_c6
| multiply(sk_c7,sk_c7) = sk_c6 ),
inference(paramod,[status(thm)],[c_7974,c_8060]) ).
cnf(c_8062,plain,
multiply(sk_c7,sk_c7) = sk_c6,
inference(copy,[status(thm)],[c_8061]) ).
cnf(c_8016,plain,
$false,
inference(resolve,[status(thm)],[c_7991,c_8062]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP222-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 14:43:58 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.36 % Process 2634612 was started by sandbox on n016,
% 0.09/0.36 % Fri Sep 25 14:43:58 2026
% 0.09/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.09/0.36
% 0.09/0.36 % From the command line: assign(max_seconds, 300).
% 23.59/3.82
% 23.59/3.82 % SZS status Unsatisfiable for theBenchmark
% 23.59/3.82
% 23.59/3.82 % Proof 1 at 2.86 (+ 0.55) seconds.
% 23.59/3.82 % Length of proof is 51.
% 23.59/3.82 % Level of proof is 21.
% 23.59/3.82 % Maximum clause weight is 51.000.
% 23.59/3.82 % Given clauses 217.
% 23.59/3.82
% 23.59/3.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------