%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : GRP342-1 : 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 : n012.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 07:28:40 AM UTC 2026
% Result : Unsatisfiable 133.79s 27.44s
% Output : CNFRefutation 133.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 67
% Number of leaves : 19
% Syntax : Number of formulae : 186 ( 33 unt; 0 def)
% Number of atoms : 572 ( 571 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 667 ( 281 ~; 386 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 86 ( 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_1,axiom,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('theBenchmark.p',prove_this_1) ).
cnf(c_4,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_1]) ).
fof(prove_this_2,axiom,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('theBenchmark.p',prove_this_2) ).
cnf(c_5,plain,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_2]) ).
fof(prove_this_3,axiom,
( inverse(sk_c3) = sk_c4
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('theBenchmark.p',prove_this_3) ).
cnf(c_6,plain,
( inverse(sk_c3) = sk_c4
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(clausify,[status(thm)],[prove_this_3]) ).
fof(prove_this_8,axiom,
( multiply(sk_c3,sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_8) ).
cnf(c_11,plain,
( multiply(sk_c3,sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_8]) ).
fof(prove_this_9,axiom,
( inverse(sk_c3) = sk_c4
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_9) ).
cnf(c_12,plain,
( inverse(sk_c3) = sk_c4
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_9]) ).
fof(prove_this_11,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_11) ).
cnf(c_14,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_11]) ).
fof(prove_this_12,axiom,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('theBenchmark.p',prove_this_12) ).
cnf(c_15,plain,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_12]) ).
fof(prove_this_14,axiom,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_14) ).
cnf(c_17,plain,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_14]) ).
fof(prove_this_15,axiom,
( inverse(sk_c3) = sk_c4
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_15) ).
cnf(c_18,plain,
( inverse(sk_c3) = sk_c4
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_15]) ).
fof(prove_this_17,axiom,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_17) ).
cnf(c_20,plain,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_17]) ).
fof(prove_this_18,axiom,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
file('theBenchmark.p',prove_this_18) ).
cnf(c_21,plain,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(clausify,[status(thm)],[prove_this_18]) ).
fof(prove_this_20,axiom,
( multiply(sk_c3,sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
file('theBenchmark.p',prove_this_20) ).
cnf(c_23,plain,
( multiply(sk_c3,sk_c4) = sk_c8
| inverse(sk_c2) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_20]) ).
fof(prove_this_21,axiom,
( inverse(sk_c3) = sk_c4
| inverse(sk_c2) = sk_c7 ),
file('theBenchmark.p',prove_this_21) ).
cnf(c_24,plain,
( inverse(sk_c3) = sk_c4
| inverse(sk_c2) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_21]) ).
fof(prove_this_26,axiom,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('theBenchmark.p',prove_this_26) ).
cnf(c_29,plain,
( multiply(sk_c3,sk_c4) = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_26]) ).
fof(prove_this_27,axiom,
( inverse(sk_c3) = sk_c4
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('theBenchmark.p',prove_this_27) ).
cnf(c_30,plain,
( inverse(sk_c3) = sk_c4
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(clausify,[status(thm)],[prove_this_27]) ).
fof(prove_this_31,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( inverse(VAR_4) != sk_c8
| multiply(VAR_4,sk_c8) != sk_c6
| multiply(VAR_3,sk_c7) != sk_c8
| inverse(VAR_2) != VAR_3
| multiply(VAR_2,VAR_3) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(VAR_1,sk_c6) != sk_c7
| inverse(VAR_1) != sk_c7
| multiply(VAR_0,sk_c7) != sk_c8
| inverse(VAR_0) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
file('theBenchmark.p',prove_this_31) ).
cnf(c_34,plain,
( inverse(E) != sk_c8
| multiply(E,sk_c8) != sk_c6
| multiply(D,sk_c7) != sk_c8
| inverse(C) != D
| multiply(C,D) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(B,sk_c6) != sk_c7
| inverse(B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(clausify,[status(thm)],[prove_this_31]) ).
cnf(c_23469,plain,
multiply(identity,A) = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_2,c_3]) ).
cnf(c_23470,plain,
A = multiply(inverse(B),multiply(B,A)),
inference(paramod,[status(thm)],[c_1,c_23469]) ).
cnf(c_97,plain,
multiply(inverse(A),multiply(A,B)) = B,
inference(copy,[status(thm)],[c_23470]) ).
cnf(c_98,plain,
( multiply(sk_c6,A) = multiply(sk_c7,multiply(sk_c8,A))
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_4,c_3]) ).
cnf(c_109,plain,
( multiply(sk_c8,sk_c1) = identity
| multiply(sk_c3,sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_11,c_2]) ).
cnf(c_112,plain,
( multiply(sk_c8,sk_c1) = identity
| multiply(sk_c5,sk_c8) = sk_c6 ),
inference(paramod,[status(thm)],[c_14,c_2]) ).
cnf(c_125,plain,
( multiply(sk_c7,sk_c2) = identity
| multiply(sk_c3,sk_c4) = sk_c8 ),
inference(paramod,[status(thm)],[c_23,c_2]) ).
cnf(c_182,plain,
( inverse(F) != sk_c8
| multiply(F,sk_c8) != sk_c6
| multiply(D,multiply(E,sk_c7)) != sk_c8
| inverse(C) != multiply(D,E)
| multiply(C,multiply(D,E)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(B,sk_c6) != sk_c7
| inverse(B) != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_3,c_34]) ).
cnf(c_2162,plain,
multiply(inverse(inverse(A)),identity) = A,
inference(paramod,[status(thm)],[c_2,c_97]) ).
cnf(c_2208,plain,
multiply(inverse(inverse(A)),B) = multiply(A,B),
inference(paramod,[status(thm)],[c_97,c_97]) ).
cnf(c_2209,plain,
multiply(A,identity) = A,
inference(paramod,[status(thm)],[c_2208,c_2162]) ).
cnf(c_2232,plain,
inverse(identity) = identity,
inference(paramod,[status(thm)],[c_2209,c_2]) ).
cnf(c_2825,plain,
multiply(A,inverse(A)) = identity,
inference(paramod,[status(thm)],[c_2208,c_2]) ).
cnf(c_23471,plain,
multiply(A,identity) = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_2208,c_2209]) ).
cnf(c_23472,plain,
A = inverse(inverse(A)),
inference(paramod,[status(thm)],[c_2209,c_23471]) ).
cnf(c_2867,plain,
inverse(inverse(A)) = A,
inference(copy,[status(thm)],[c_23472]) ).
cnf(c_23473,plain,
identity = multiply(A,multiply(B,inverse(multiply(A,B)))),
inference(paramod,[status(thm)],[c_2825,c_3]) ).
cnf(c_3220,plain,
multiply(A,multiply(B,inverse(multiply(A,B)))) = identity,
inference(copy,[status(thm)],[c_23473]) ).
cnf(c_3221,plain,
( multiply(sk_c3,sk_c4) = identity
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(paramod,[status(thm)],[c_6,c_2825]) ).
cnf(c_3225,plain,
( multiply(sk_c3,sk_c4) = identity
| inverse(sk_c1) = sk_c8 ),
inference(paramod,[status(thm)],[c_12,c_2825]) ).
cnf(c_3228,plain,
( multiply(sk_c5,sk_c8) = identity
| inverse(sk_c1) = sk_c8 ),
inference(paramod,[status(thm)],[c_15,c_2825]) ).
cnf(c_3229,plain,
( multiply(sk_c3,sk_c4) = identity
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_18,c_2825]) ).
cnf(c_3230,plain,
( multiply(sk_c5,sk_c8) = identity
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_21,c_2825]) ).
cnf(c_3233,plain,
( multiply(sk_c3,sk_c4) = identity
| inverse(sk_c2) = sk_c7 ),
inference(paramod,[status(thm)],[c_24,c_2825]) ).
cnf(c_3237,plain,
( multiply(sk_c3,sk_c4) = identity
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_30,c_2825]) ).
cnf(c_23474,plain,
( multiply(sk_c6,inverse(sk_c8)) = multiply(sk_c7,identity)
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_2825,c_98]) ).
cnf(c_3242,plain,
( multiply(sk_c6,inverse(sk_c8)) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_2209,c_23474]) ).
cnf(c_6516,plain,
( multiply(sk_c8,sk_c1) = identity
| multiply(sk_c3,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_3225,c_2]) ).
cnf(c_6716,plain,
( multiply(sk_c8,sk_c1) = identity
| multiply(sk_c5,sk_c8) = identity ),
inference(paramod,[status(thm)],[c_3228,c_2]) ).
cnf(c_6825,plain,
( multiply(sk_c7,sk_c2) = identity
| multiply(sk_c3,sk_c4) = identity ),
inference(paramod,[status(thm)],[c_3233,c_2]) ).
cnf(c_23475,plain,
multiply(inverse(A),identity) = multiply(B,inverse(multiply(A,B))),
inference(paramod,[status(thm)],[c_3220,c_97]) ).
cnf(c_23476,plain,
inverse(A) = multiply(B,inverse(multiply(A,B))),
inference(paramod,[status(thm)],[c_2209,c_23475]) ).
cnf(c_9911,plain,
multiply(A,inverse(multiply(B,A))) = inverse(B),
inference(copy,[status(thm)],[c_23476]) ).
cnf(c_23477,plain,
multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
inference(paramod,[status(thm)],[c_9911,c_97]) ).
cnf(c_10031,plain,
inverse(multiply(A,B)) = multiply(inverse(B),inverse(A)),
inference(copy,[status(thm)],[c_23477]) ).
cnf(c_23478,plain,
( identity = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(paramod,[status(thm)],[c_3221,c_5]) ).
cnf(c_10195,plain,
( identity = sk_c8
| multiply(sk_c7,sk_c8) = sk_c6 ),
inference(copy,[status(thm)],[c_23478]) ).
cnf(c_10199,plain,
( multiply(inverse(sk_c7),sk_c6) = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_10195,c_97]) ).
cnf(c_23479,plain,
( identity = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_3229,c_17]) ).
cnf(c_10513,plain,
( identity = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(copy,[status(thm)],[c_23479]) ).
cnf(c_10629,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c7
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_10513,c_97]) ).
cnf(c_23480,plain,
( identity = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(paramod,[status(thm)],[c_3230,c_20]) ).
cnf(c_10648,plain,
( identity = sk_c6
| multiply(sk_c1,sk_c7) = sk_c8 ),
inference(copy,[status(thm)],[c_23480]) ).
cnf(c_10664,plain,
( multiply(inverse(sk_c1),sk_c8) = sk_c7
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_10648,c_97]) ).
cnf(c_23481,plain,
( identity = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(paramod,[status(thm)],[c_3237,c_29]) ).
cnf(c_10916,plain,
( identity = sk_c8
| multiply(sk_c2,sk_c6) = sk_c7 ),
inference(copy,[status(thm)],[c_23481]) ).
cnf(c_23482,plain,
( multiply(sk_c8,sk_c1) = identity
| identity = sk_c8
| multiply(sk_c8,sk_c1) = identity ),
inference(paramod,[status(thm)],[c_6516,c_109]) ).
cnf(c_11448,plain,
( identity = sk_c8
| multiply(sk_c8,sk_c1) = identity ),
inference(copy,[status(thm)],[c_23482]) ).
cnf(c_23483,plain,
( multiply(inverse(sk_c8),identity) = sk_c1
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_11448,c_97]) ).
cnf(c_11451,plain,
( inverse(sk_c8) = sk_c1
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2209,c_23483]) ).
cnf(c_11504,plain,
( inverse(sk_c1) = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_11451,c_2867]) ).
cnf(c_23484,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| identity = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_11504,c_10629]) ).
cnf(c_11581,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_23484]) ).
cnf(c_11709,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_11581,c_97]) ).
cnf(c_23485,plain,
( multiply(sk_c8,sk_c1) = identity
| identity = sk_c6
| multiply(sk_c8,sk_c1) = identity ),
inference(paramod,[status(thm)],[c_6716,c_112]) ).
cnf(c_11927,plain,
( identity = sk_c6
| multiply(sk_c8,sk_c1) = identity ),
inference(copy,[status(thm)],[c_23485]) ).
cnf(c_23486,plain,
( multiply(inverse(sk_c8),identity) = sk_c1
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_11927,c_97]) ).
cnf(c_11930,plain,
( inverse(sk_c8) = sk_c1
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_2209,c_23486]) ).
cnf(c_11970,plain,
( inverse(sk_c1) = sk_c8
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_11930,c_2867]) ).
cnf(c_23487,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| identity = sk_c6
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_11970,c_10664]) ).
cnf(c_12060,plain,
( multiply(sk_c8,sk_c8) = sk_c7
| identity = sk_c6 ),
inference(copy,[status(thm)],[c_23487]) ).
cnf(c_12244,plain,
( multiply(inverse(sk_c8),sk_c7) = sk_c8
| identity = sk_c6 ),
inference(paramod,[status(thm)],[c_12060,c_97]) ).
cnf(c_23488,plain,
( multiply(sk_c7,sk_c2) = identity
| identity = sk_c8
| multiply(sk_c7,sk_c2) = identity ),
inference(paramod,[status(thm)],[c_6825,c_125]) ).
cnf(c_12395,plain,
( identity = sk_c8
| multiply(sk_c7,sk_c2) = identity ),
inference(copy,[status(thm)],[c_23488]) ).
cnf(c_23489,plain,
( multiply(inverse(sk_c7),identity) = sk_c2
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_12395,c_97]) ).
cnf(c_12398,plain,
( inverse(sk_c7) = sk_c2
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2209,c_23489]) ).
cnf(c_23490,plain,
( multiply(sk_c2,sk_c6) = sk_c8
| identity = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_12398,c_10199]) ).
cnf(c_12464,plain,
( multiply(sk_c2,sk_c6) = sk_c8
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_23490]) ).
cnf(c_23491,plain,
( identity = sk_c8
| sk_c8 = sk_c7
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_12464,c_10916]) ).
cnf(c_23492,plain,
( identity = sk_c8
| sk_c7 = sk_c8
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_23491]) ).
cnf(c_12755,plain,
( sk_c7 = sk_c8
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_23492]) ).
cnf(c_12759,plain,
( inverse(sk_c8) = identity
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_12755,c_2232]) ).
cnf(c_23493,plain,
( multiply(identity,sk_c7) = sk_c8
| identity = sk_c6
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_12759,c_12244]) ).
cnf(c_23494,plain,
( sk_c7 = sk_c8
| identity = sk_c6
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_1,c_23493]) ).
cnf(c_12852,plain,
( identity = sk_c6
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_23494]) ).
cnf(c_23495,plain,
( inverse(sk_c8) = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_12755,c_12759]) ).
cnf(c_12860,plain,
( inverse(sk_c8) = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_23495]) ).
cnf(c_12910,plain,
( multiply(A,sk_c6) = A
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_12852,c_2209]) ).
cnf(c_23496,plain,
( inverse(sk_c8) = sk_c6
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_12852,c_12759]) ).
cnf(c_12934,plain,
( inverse(sk_c8) = sk_c6
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_23496]) ).
cnf(c_12993,plain,
( multiply(sk_c8,sk_c8) = identity
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_12860,c_2]) ).
cnf(c_23497,plain,
( inverse(sk_c8) = multiply(inverse(sk_c7),inverse(inverse(sk_c8)))
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_11709,c_10031]) ).
cnf(c_23498,plain,
( inverse(sk_c8) = multiply(inverse(sk_c7),sk_c8)
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2867,c_23497]) ).
cnf(c_15572,plain,
( multiply(inverse(sk_c7),sk_c8) = inverse(sk_c8)
| identity = sk_c8 ),
inference(copy,[status(thm)],[c_23498]) ).
cnf(c_23499,plain,
( inverse(identity) = multiply(inverse(sk_c8),inverse(sk_c8))
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_12993,c_10031]) ).
cnf(c_23500,plain,
( identity = multiply(inverse(sk_c8),inverse(sk_c8))
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_2232,c_23499]) ).
cnf(c_15627,plain,
( multiply(inverse(sk_c8),inverse(sk_c8)) = identity
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_23500]) ).
cnf(c_23501,plain,
( inverse(E) != sk_c8
| multiply(E,sk_c8) != sk_c6
| multiply(C,multiply(D,sk_c7)) != sk_c8
| inverse(B) != multiply(C,D)
| multiply(B,multiply(C,D)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| multiply(identity,sk_c6) != sk_c7
| identity != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_2232,c_182]) ).
cnf(c_19507,plain,
( inverse(E) != sk_c8
| multiply(E,sk_c8) != sk_c6
| multiply(C,multiply(D,sk_c7)) != sk_c8
| inverse(B) != multiply(C,D)
| multiply(B,multiply(C,D)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| sk_c6 != sk_c7
| identity != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_1,c_23501]) ).
cnf(c_19539,plain,
( multiply(A,sk_c8) != sk_c6
| multiply(C,multiply(D,sk_c7)) != sk_c8
| inverse(B) != multiply(C,D)
| multiply(B,multiply(C,D)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| sk_c6 != sk_c7
| identity != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(factor,[status(thm)],[c_19507]) ).
cnf(c_19593,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c7,multiply(sk_c7,sk_c7)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| sk_c6 != sk_c7
| identity != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c7,sk_c8) != sk_c6 ),
inference(factor,[status(thm)],[c_19539]) ).
cnf(c_23502,plain,
( multiply(inverse(inverse(sk_c7)),inverse(sk_c8)) = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_15572,c_97]) ).
cnf(c_19854,plain,
( multiply(sk_c7,inverse(sk_c8)) = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2867,c_23502]) ).
cnf(c_23503,plain,
( multiply(sk_c6,inverse(sk_c8)) = identity
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_12934,c_15627]) ).
cnf(c_20319,plain,
( multiply(sk_c6,inverse(sk_c8)) = identity
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_23503]) ).
cnf(c_23504,plain,
( multiply(sk_c6,inverse(sk_c8)) = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_12755,c_20319]) ).
cnf(c_20360,plain,
( multiply(sk_c6,inverse(sk_c8)) = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_23504]) ).
cnf(c_23505,plain,
( sk_c8 = multiply(sk_c7,multiply(sk_c8,inverse(sk_c8)))
| multiply(sk_c8,sk_c6) = sk_c7
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_20360,c_98]) ).
cnf(c_23506,plain,
( sk_c8 = multiply(sk_c7,identity)
| multiply(sk_c8,sk_c6) = sk_c7
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_2825,c_23505]) ).
cnf(c_23507,plain,
( sk_c8 = sk_c7
| multiply(sk_c8,sk_c6) = sk_c7
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_2209,c_23506]) ).
cnf(c_23508,plain,
( sk_c7 = sk_c8
| multiply(sk_c8,sk_c6) = sk_c7
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_23507]) ).
cnf(c_20444,plain,
( multiply(sk_c8,sk_c6) = sk_c7
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_23508]) ).
cnf(c_23509,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(paramod,[status(thm)],[c_20444,c_12910]) ).
cnf(c_23510,plain,
( sk_c7 = sk_c8
| sk_c7 = sk_c8 ),
inference(copy,[status(thm)],[c_23509]) ).
cnf(c_20481,plain,
sk_c7 = sk_c8,
inference(copy,[status(thm)],[c_23510]) ).
cnf(c_23511,plain,
( multiply(sk_c8,inverse(sk_c8)) = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_20481,c_19854]) ).
cnf(c_23512,plain,
( identity = sk_c8
| identity = sk_c8 ),
inference(paramod,[status(thm)],[c_2825,c_23511]) ).
cnf(c_20717,plain,
identity = sk_c8,
inference(copy,[status(thm)],[c_23512]) ).
cnf(c_23513,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c7,multiply(sk_c7,sk_c7)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| sk_c6 != sk_c7
| identity != sk_c7
| multiply(A,sk_c7) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_19593]) ).
cnf(c_23514,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c7,multiply(sk_c7,sk_c7)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| sk_c6 != sk_c7
| identity != sk_c7
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23513]) ).
cnf(c_23515,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c7,multiply(sk_c7,sk_c7)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| sk_c6 != sk_c7
| sk_c8 != sk_c7
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20717,c_23514]) ).
cnf(c_23516,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c7,multiply(sk_c7,sk_c7)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| sk_c6 != sk_c7
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23515]) ).
cnf(c_23517,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c7,multiply(sk_c7,sk_c7)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c7
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23516]) ).
cnf(c_23518,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c7,multiply(sk_c7,sk_c7)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23517]) ).
cnf(c_23519,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c8,multiply(sk_c7,sk_c7)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23518]) ).
cnf(c_23520,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c8,multiply(sk_c8,sk_c7)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23519]) ).
cnf(c_23521,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c7) != multiply(sk_c7,sk_c7)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23520]) ).
cnf(c_23522,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c8) != multiply(sk_c7,sk_c7)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23521]) ).
cnf(c_23523,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c8) != multiply(sk_c8,sk_c7)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23522]) ).
cnf(c_23524,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c8) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(paramod,[status(thm)],[c_20481,c_23523]) ).
cnf(c_20800,plain,
( multiply(A,sk_c8) != sk_c6
| inverse(sk_c8) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| multiply(A,sk_c8) != sk_c8
| inverse(A) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(copy,[status(thm)],[c_23524]) ).
cnf(c_23525,plain,
( multiply(sk_c6,inverse(sk_c8)) = sk_c7
| multiply(sk_c8,sk_c6) = sk_c8 ),
inference(paramod,[status(thm)],[c_20481,c_3242]) ).
cnf(c_23154,plain,
( multiply(sk_c6,inverse(sk_c8)) = sk_c8
| multiply(sk_c8,sk_c6) = sk_c8 ),
inference(paramod,[status(thm)],[c_20481,c_23525]) ).
cnf(c_23526,plain,
inverse(sk_c8) = identity,
inference(paramod,[status(thm)],[c_20717,c_2232]) ).
cnf(c_23444,plain,
inverse(sk_c8) = sk_c8,
inference(paramod,[status(thm)],[c_20717,c_23526]) ).
cnf(c_23445,plain,
multiply(A,sk_c8) = A,
inference(paramod,[status(thm)],[c_20717,c_2209]) ).
cnf(c_23448,plain,
multiply(sk_c8,A) = A,
inference(paramod,[status(thm)],[c_20717,c_1]) ).
cnf(c_23527,plain,
( inverse(sk_c8) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| multiply(sk_c8,sk_c8) != sk_c8
| inverse(sk_c8) != sk_c8
| multiply(sk_c8,sk_c8) != sk_c6 ),
inference(factor,[status(thm)],[c_20800]) ).
cnf(c_23528,plain,
( inverse(sk_c8) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| multiply(sk_c8,sk_c8) != sk_c8
| inverse(sk_c8) != sk_c8
| sk_c8 != sk_c6 ),
inference(paramod,[status(thm)],[c_23445,c_23527]) ).
cnf(c_23529,plain,
( inverse(sk_c8) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| multiply(sk_c8,sk_c8) != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c6 ),
inference(paramod,[status(thm)],[c_23444,c_23528]) ).
cnf(c_23530,plain,
( inverse(sk_c8) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| multiply(sk_c8,sk_c6) != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c6 ),
inference(paramod,[status(thm)],[c_23445,c_23529]) ).
cnf(c_23531,plain,
( inverse(sk_c8) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,multiply(sk_c8,sk_c8)) != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c6 ),
inference(paramod,[status(thm)],[c_23448,c_23530]) ).
cnf(c_23532,plain,
( inverse(sk_c8) != multiply(sk_c8,sk_c8)
| multiply(sk_c8,sk_c8) != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c6 ),
inference(paramod,[status(thm)],[c_23445,c_23531]) ).
cnf(c_23533,plain,
( inverse(sk_c8) != multiply(sk_c8,sk_c8)
| sk_c8 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c6 ),
inference(paramod,[status(thm)],[c_23445,c_23532]) ).
cnf(c_23534,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c6 ),
inference(paramod,[status(thm)],[c_23444,c_23533]) ).
cnf(c_23535,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c6 ),
inference(paramod,[status(thm)],[c_23445,c_23534]) ).
cnf(c_23536,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c6 != sk_c8 ),
inference(copy,[status(thm)],[c_23535]) ).
cnf(c_23537,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c8 != sk_c8
| sk_c6 != sk_c8 ),
inference(copy,[status(thm)],[c_23536]) ).
cnf(c_23538,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8 ),
inference(copy,[status(thm)],[c_23537]) ).
cnf(c_23539,plain,
( sk_c8 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8 ),
inference(copy,[status(thm)],[c_23538]) ).
cnf(c_23540,plain,
( sk_c6 != sk_c8
| sk_c6 != sk_c8
| sk_c6 != sk_c8 ),
inference(copy,[status(thm)],[c_23539]) ).
cnf(c_23541,plain,
( sk_c6 != sk_c8
| sk_c6 != sk_c8 ),
inference(copy,[status(thm)],[c_23540]) ).
cnf(c_23456,plain,
sk_c6 != sk_c8,
inference(copy,[status(thm)],[c_23541]) ).
cnf(c_23542,plain,
( multiply(sk_c6,inverse(sk_c8)) = sk_c8
| sk_c6 = sk_c8 ),
inference(paramod,[status(thm)],[c_23448,c_23154]) ).
cnf(c_23543,plain,
( multiply(sk_c6,sk_c8) = sk_c8
| sk_c6 = sk_c8 ),
inference(paramod,[status(thm)],[c_23444,c_23542]) ).
cnf(c_23544,plain,
( sk_c6 = sk_c8
| sk_c6 = sk_c8 ),
inference(paramod,[status(thm)],[c_23445,c_23543]) ).
cnf(c_23545,plain,
sk_c6 = sk_c8,
inference(copy,[status(thm)],[c_23544]) ).
cnf(c_23468,plain,
$false,
inference(resolve,[status(thm)],[c_23456,c_23545]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP342-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/10.58 % Computer : n012.cluster.edu
% 0.08/10.58 % Model : x86_64 x86_64
% 0.08/10.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/10.58 % Memory : 8046.5625MB
% 0.08/10.58 % OS : Linux 6.8.0-71-generic
% 0.08/10.58 % CPULimit : 300
% 0.08/10.58 % WCLimit : 300
% 0.08/10.58 % DateTime : Fri Sep 25 14:47:02 UTC 2026
% 0.08/10.58 % CPUTime :
% 0.08/10.58 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/10.58 % Process 2349358 was started by sandbox on n012,
% 0.08/10.58 % Fri Sep 25 14:47:02 2026
% 0.08/10.58 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/10.58
% 0.08/10.58 % From the command line: assign(max_seconds, 300).
% 133.79/27.44
% 133.79/27.44 % given #500 (F,wt=32): 15716 multiply(sk_c7,sk_c8) != sk_c6 | multiply(inverse(sk_c8),sk_c7) != sk_c8 | multiply(sk_c8,sk_c6) != sk_c7 | multiply(inverse(sk_c6),multiply(inverse(sk_c8),sk_c6)) != sk_c7 | identity != sk_c8 | inverse(sk_c7) != sk_c8. [factor(15625,c,e)].
% 133.79/27.44
% 133.79/27.44 % SZS status Unsatisfiable for theBenchmark
% 133.79/27.44
% 133.79/27.44 % Proof 1 at 15.06 (+ 1.75) seconds.
% 133.79/27.44 % Length of proof is 90.
% 133.79/27.44 % Level of proof is 21.
% 133.79/27.44 % Maximum clause weight is 57.000.
% 133.79/27.44 % Given clauses 757.
% 133.79/27.44
% 133.79/27.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
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